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 |
|---|---|---|---|---|---|---|---|---|
[
55,
37,
44,
2
] | 24 | [
"55+37=92",
"92-44=48",
"48/2=24"
] | Current State: 24:[55, 37, 44, 2], Operations: []
Exploring Operation: 55+37=92, Resulting Numbers: [44, 2, 92]
Generated Node #2: [44, 2, 92] from Operation: 55+37=92
Current State: 24:[44, 2, 92], Operations: ['55+37=92']
Exploring Operation: 92-44=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 92-44=48
Current State: 24:[2, 48], Operations: ['55+37=92', '92-44=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[55, 37, 44, 2], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [37, 2, 11]
Generated Node #0,0: 24:[37, 2, 11] Operation: 55-44=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[37, 2, 11], Operations: ['55-44=11']
Exploring Operation: 37-11=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 24:[2, 26] Operation: 37-11=26
Moving to Node #0,0,0
Current State: 24:[2, 26], Operations: ['55-44=11', '37-11=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[55, 37, 44, 2], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [37, 2, 11]
Generated Node #0,0: 24:[37, 2, 11] Operation: 55-44=11
Moving to Node #0,0
Current State: 24:[37, 2, 11], Operations: ['55-44=11']
Exploring Operation: 37-11=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 24:[2, 26] Operation: 37-11=26
Moving to Node #0,0,0
Current State: 24:[2, 26], Operations: ['55-44=11', '37-11=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
58,
3,
79,
82
] | 100 | [
"58+3=61",
"79+82=161",
"161-61=100"
] | Current State: 100:[58, 3, 79, 82], Operations: []
Exploring Operation: 58+3=61, Resulting Numbers: [79, 82, 61]
Generated Node #2: [79, 82, 61] from Operation: 58+3=61
Current State: 100:[79, 82, 61], Operations: ['58+3=61']
Exploring Operation: 79+82=161, Resulting Numbers: [61, 161]
Generated Node #3: [61, 161] from Operation: 79+82=161
Current State: 100:[61, 161], Operations: ['58+3=61', '79+82=161']
Exploring Operation: 161-61=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[58, 3, 79, 82], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [58, 3, 3]
Generated Node #0,0: 100:[58, 3, 3] Operation: 82-79=3
Moving to Node #0,0
Current State: 100:[58, 3, 3], Operations: ['82-79=3']
Exploring Operation: 58-3=55, Resulting Numbers: [3, 55]
Generated Node #0,0,0: 100:[3, 55] Operation: 58-3=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[3, 55], Operations: ['82-79=3', '58-3=55']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,100 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,
3,
2,
59
] | 12 | [
"59-2=57",
"57/3=19",
"19-7=12"
] | Current State: 12:[7, 3, 2, 59], Operations: []
Exploring Operation: 59-2=57, Resulting Numbers: [7, 3, 57]
Generated Node #2: [7, 3, 57] from Operation: 59-2=57
Current State: 12:[7, 3, 57], Operations: ['59-2=57']
Exploring Operation: 57/3=19, Resulting Numbers: [7, 19]
Generated Node #3: [7, 19] from Operation: 57/3=19
Current State: 12:[7, 19], Operations: ['59-2=57', '57/3=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[7, 3, 2, 59], Operations: []
Exploring Operation: 59-2=57, Resulting Numbers: [7, 3, 57]
Generated Node #0,0: 12:[7, 3, 57] Operation: 59-2=57
Exploring Operation: 59-3=56, Resulting Numbers: [7, 2, 56]
Generated Node #0,1: 12:[7, 2, 56] Operation: 59-3=56
Exploring Operation: 59-7=52, Resulting Numbers: [3, 2, 52]
Generated Node #0,2: 12:[3, 2, 52] Operation: 59-7=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[3, 2, 52], Operations: ['59-7=52']
Exploring Operation: 52-2=50, Resulting Numbers: [3, 50]
Generated Node #0,2,0: 12:[3, 50] Operation: 52-2=50
Exploring Operation: 52/2=26, Resulting Numbers: [3, 26]
Generated Node #0,2,1: 12:[3, 26] Operation: 52/2=26
Exploring Operation: 52-3=49, Resulting Numbers: [2, 49]
Generated Node #0,2,2: 12:[2, 49] Operation: 52-3=49
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 12:[3, 26], Operations: ['59-7=52', '52/2=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,12 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,12 unequal: No Solution
No 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: 12:[2, 49], Operations: ['59-7=52', '52-3=49']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,12 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,12 unequal: No Solution
No 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: 12:[3, 50], Operations: ['59-7=52', '52-2=50']
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,12 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,12 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: 12:[7, 2, 56], Operations: ['59-3=56']
Exploring Operation: 56-7=49, Resulting Numbers: [2, 49]
Generated Node #0,1,0: 12:[2, 49] Operation: 56-7=49
Exploring Operation: 56/2=28, Resulting Numbers: [7, 28]
Generated Node #0,1,1: 12:[7, 28] Operation: 56/2=28
Exploring Operation: 56/7=8, Resulting Numbers: [2, 8]
Generated Node #0,1,2: 12:[2, 8] Operation: 56/7=8
Moving to Node #0,1,2
Current State: 12:[2, 8], Operations: ['59-3=56', '56/7=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,12 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[7, 28], Operations: ['59-3=56', '56/2=28']
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[2, 49], Operations: ['59-3=56', '56-7=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[7, 3, 57], Operations: ['59-2=57']
Exploring Operation: 57/3=19, Resulting Numbers: [7, 19]
Generated Node #0,0,0: 12:[7, 19] Operation: 57/3=19
Exploring Operation: 57-3=54, Resulting Numbers: [7, 54]
Generated Node #0,0,1: 12:[7, 54] Operation: 57-3=54
Exploring Operation: 57-7=50, Resulting Numbers: [3, 50]
Generated Node #0,0,2: 12:[3, 50] Operation: 57-7=50
Moving to Node #0,0,0
Current State: 12:[7, 19], Operations: ['59-2=57', '57/3=19']
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,12 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[7, 3, 2, 59], Operations: []
Exploring Operation: 59-2=57, Resulting Numbers: [7, 3, 57]
Generated Node #0,0: 12:[7, 3, 57] Operation: 59-2=57
Moving to Node #0,0
Current State: 12:[7, 3, 57], Operations: ['59-2=57']
Exploring Operation: 57/3=19, Resulting Numbers: [7, 19]
Generated Node #0,0,0: 12:[7, 19] Operation: 57/3=19
Moving to Node #0,0,0
Current State: 12:[7, 19], Operations: ['59-2=57', '57/3=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
3,
28,
5,
58
] | 97 | [
"3+28=31",
"5*31=155",
"155-58=97"
] | Current State: 97:[3, 28, 5, 58], Operations: []
Exploring Operation: 3+28=31, Resulting Numbers: [5, 58, 31]
Generated Node #2: [5, 58, 31] from Operation: 3+28=31
Current State: 97:[5, 58, 31], Operations: ['3+28=31']
Exploring Operation: 5*31=155, Resulting Numbers: [58, 155]
Generated Node #3: [58, 155] from Operation: 5*31=155
Current State: 97:[58, 155], Operations: ['3+28=31', '5*31=155']
Exploring Operation: 155-58=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[3, 28, 5, 58], Operations: []
Exploring Operation: 3*28=84, Resulting Numbers: [5, 58, 84]
Generated Node #0,0: 97:[5, 58, 84] Operation: 3*28=84
Exploring Operation: 28*5=140, Resulting Numbers: [3, 58, 140]
Generated Node #0,1: 97:[3, 58, 140] Operation: 28*5=140
Exploring Operation: 3*5=15, Resulting Numbers: [28, 58, 15]
Generated Node #0,2: 97:[28, 58, 15] Operation: 3*5=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[5, 58, 84], Operations: ['3*28=84']
Exploring Operation: 5+58=63, Resulting Numbers: [84, 63]
Generated Node #0,0,0: 97:[84, 63] Operation: 5+58=63
Exploring Operation: 5+84=89, Resulting Numbers: [58, 89]
Generated Node #0,0,1: 97:[58, 89] Operation: 5+84=89
Exploring Operation: 58-5=53, Resulting Numbers: [84, 53]
Generated Node #0,0,2: 97:[84, 53] Operation: 58-5=53
Moving to Node #0,0,0
Current State: 97:[84, 63], Operations: ['3*28=84', '5+58=63']
Exploring Operation: 84+63=147, Resulting Numbers: [147]
147,97 unequal: No Solution
Exploring Operation: 84-63=21, Resulting Numbers: [21]
21,97 unequal: No Solution
Exploring Operation: 84*63=5292, Resulting Numbers: [5292]
5292,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[58, 89], Operations: ['3*28=84', '5+84=89']
Exploring Operation: 58*89=5162, Resulting Numbers: [5162]
5162,97 unequal: No Solution
Exploring Operation: 89-58=31, Resulting Numbers: [31]
31,97 unequal: No Solution
Exploring Operation: 58+89=147, Resulting Numbers: [147]
147,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[84, 53], Operations: ['3*28=84', '58-5=53']
Exploring Operation: 84-53=31, Resulting Numbers: [31]
31,97 unequal: No Solution
Exploring Operation: 84+53=137, Resulting Numbers: [137]
137,97 unequal: No Solution
Exploring Operation: 84*53=4452, Resulting Numbers: [4452]
4452,97 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
Current State: 97:[3, 58, 140], Operations: ['28*5=140']
Exploring Operation: 140-3=137, Resulting Numbers: [58, 137]
Generated Node #0,1,0: 97:[58, 137] Operation: 140-3=137
Exploring Operation: 3+58=61, Resulting Numbers: [140, 61]
Generated Node #0,1,1: 97:[140, 61] Operation: 3+58=61
Exploring Operation: 58-3=55, Resulting Numbers: [140, 55]
Generated Node #0,1,2: 97:[140, 55] Operation: 58-3=55
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[58, 137], Operations: ['28*5=140', '140-3=137']
Exploring Operation: 137-58=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 58*137=7946, Resulting Numbers: [7946]
7946,97 unequal: No Solution
Exploring Operation: 58+137=195, Resulting Numbers: [195]
195,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[140, 61], Operations: ['28*5=140', '3+58=61']
Exploring Operation: 140*61=8540, Resulting Numbers: [8540]
8540,97 unequal: No Solution
Exploring Operation: 140+61=201, Resulting Numbers: [201]
201,97 unequal: No Solution
Exploring Operation: 140-61=79, Resulting Numbers: [79]
79,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[140, 55], Operations: ['28*5=140', '58-3=55']
Exploring Operation: 140*55=7700, Resulting Numbers: [7700]
7700,97 unequal: No Solution
Exploring Operation: 140+55=195, Resulting Numbers: [195]
195,97 unequal: No Solution
Exploring Operation: 140-55=85, Resulting Numbers: [85]
85,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[28, 58, 15], Operations: ['3*5=15']
Exploring Operation: 28+15=43, Resulting Numbers: [58, 43]
Generated Node #0,2,0: 97:[58, 43] Operation: 28+15=43
Exploring Operation: 58+15=73, Resulting Numbers: [28, 73]
Generated Node #0,2,1: 97:[28, 73] Operation: 58+15=73
Exploring Operation: 28+58=86, Resulting Numbers: [15, 86]
Generated Node #0,2,2: 97:[15, 86] Operation: 28+58=86
Moving to Node #0,2,0
Current State: 97:[58, 43], Operations: ['3*5=15', '28+15=43']
Exploring Operation: 58+43=101, Resulting Numbers: [101]
101,97 unequal: No Solution
Exploring Operation: 58-43=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 58*43=2494, Resulting Numbers: [2494]
2494,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[28, 73], Operations: ['3*5=15', '58+15=73']
Exploring Operation: 73-28=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 28+73=101, Resulting Numbers: [101]
101,97 unequal: No Solution
Exploring Operation: 28*73=2044, Resulting Numbers: [2044]
2044,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[15, 86], Operations: ['3*5=15', '28+58=86']
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,97 unequal: No Solution
Exploring Operation: 15+86=101, Resulting Numbers: [101]
101,97 unequal: No Solution
Exploring Operation: 15*86=1290, Resulting Numbers: [1290]
1290,97 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 |
[
83,
64,
61,
37
] | 43 | [
"83-64=19",
"61-37=24",
"19+24=43"
] | Current State: 43:[83, 64, 61, 37], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [61, 37, 19]
Generated Node #2: [61, 37, 19] from Operation: 83-64=19
Current State: 43:[61, 37, 19], Operations: ['83-64=19']
Exploring Operation: 61-37=24, Resulting Numbers: [19, 24]
Generated Node #3: [19, 24] from Operation: 61-37=24
Current State: 43:[19, 24], Operations: ['83-64=19', '61-37=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[83, 64, 61, 37], Operations: []
Exploring Operation: 83-37=46, Resulting Numbers: [64, 61, 46]
Generated Node #0,0: 43:[64, 61, 46] Operation: 83-37=46
Exploring Operation: 83-64=19, Resulting Numbers: [61, 37, 19]
Generated Node #0,1: 43:[61, 37, 19] Operation: 83-64=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[64, 61, 46], Operations: ['83-37=46']
Exploring Operation: 64-46=18, Resulting Numbers: [61, 18]
Generated Node #0,0,0: 43:[61, 18] Operation: 64-46=18
Exploring Operation: 64-61=3, Resulting Numbers: [46, 3]
Generated Node #0,0,1: 43:[46, 3] Operation: 64-61=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[61, 18], Operations: ['83-37=46', '64-46=18']
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[83, 64, 61, 37], Operations: []
Exploring Operation: 83-37=46, Resulting Numbers: [64, 61, 46]
Generated Node #0,0: 43:[64, 61, 46] Operation: 83-37=46
Moving to Node #0,0
Current State: 43:[64, 61, 46], Operations: ['83-37=46']
Exploring Operation: 64-46=18, Resulting Numbers: [61, 18]
Generated Node #0,0,0: 43:[61, 18] Operation: 64-46=18
Moving to Node #0,0,0
Current State: 43:[61, 18], Operations: ['83-37=46', '64-46=18']
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
41,
72,
34,
6
] | 30 | [
"41-34=7",
"6*7=42",
"72-42=30"
] | Current State: 30:[41, 72, 34, 6], Operations: []
Exploring Operation: 41-34=7, Resulting Numbers: [72, 6, 7]
Generated Node #2: [72, 6, 7] from Operation: 41-34=7
Current State: 30:[72, 6, 7], Operations: ['41-34=7']
Exploring Operation: 6*7=42, Resulting Numbers: [72, 42]
Generated Node #3: [72, 42] from Operation: 6*7=42
Current State: 30:[72, 42], Operations: ['41-34=7', '6*7=42']
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[41, 72, 34, 6], Operations: []
Exploring Operation: 41-34=7, Resulting Numbers: [72, 6, 7]
Generated Node #0,0: 30:[72, 6, 7] Operation: 41-34=7
Exploring Operation: 41-6=35, Resulting Numbers: [72, 34, 35]
Generated Node #0,1: 30:[72, 34, 35] Operation: 41-6=35
Exploring Operation: 72-41=31, Resulting Numbers: [34, 6, 31]
Generated Node #0,2: 30:[34, 6, 31] Operation: 72-41=31
Exploring Operation: 72/6=12, Resulting Numbers: [41, 34, 12]
Generated Node #0,3: 30:[41, 34, 12] Operation: 72/6=12
Exploring Operation: 72-34=38, Resulting Numbers: [41, 6, 38]
Generated Node #0,4: 30:[41, 6, 38] Operation: 72-34=38
Moving to Node #0,2
Current State: 30:[34, 6, 31], Operations: ['72-41=31']
Exploring Operation: 31-6=25, Resulting Numbers: [34, 25]
Generated Node #0,2,0: 30:[34, 25] Operation: 31-6=25
Exploring Operation: 34-31=3, Resulting Numbers: [6, 3]
Generated Node #0,2,1: 30:[6, 3] Operation: 34-31=3
Exploring Operation: 6+31=37, Resulting Numbers: [34, 37]
Generated Node #0,2,2: 30:[34, 37] Operation: 6+31=37
Exploring Operation: 34-6=28, Resulting Numbers: [31, 28]
Generated Node #0,2,3: 30:[31, 28] Operation: 34-6=28
Exploring Operation: 34+6=40, Resulting Numbers: [31, 40]
Generated Node #0,2,4: 30:[31, 40] Operation: 34+6=40
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 30:[6, 3], Operations: ['72-41=31', '34-31=3']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 30:[31, 28], Operations: ['72-41=31', '34-6=28']
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,30 unequal: No Solution
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 30:[34, 25], Operations: ['72-41=31', '31-6=25']
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 34*25=850, Resulting Numbers: [850]
850,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 30:[34, 37], Operations: ['72-41=31', '6+31=37']
Exploring Operation: 34*37=1258, Resulting Numbers: [1258]
1258,30 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 30:[31, 40], Operations: ['72-41=31', '34+6=40']
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,30 unequal: No Solution
Exploring Operation: 31*40=1240, Resulting Numbers: [1240]
1240,30 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,30 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: 30:[41, 34, 12], Operations: ['72/6=12']
Exploring Operation: 34-12=22, Resulting Numbers: [41, 22]
Generated Node #0,3,0: 30:[41, 22] Operation: 34-12=22
Exploring Operation: 41+12=53, Resulting Numbers: [34, 53]
Generated Node #0,3,1: 30:[34, 53] Operation: 41+12=53
Exploring Operation: 34+12=46, Resulting Numbers: [41, 46]
Generated Node #0,3,2: 30:[41, 46] Operation: 34+12=46
Exploring Operation: 41-34=7, Resulting Numbers: [12, 7]
Generated Node #0,3,3: 30:[12, 7] Operation: 41-34=7
Exploring Operation: 41-12=29, Resulting Numbers: [34, 29]
Generated Node #0,3,4: 30:[34, 29] Operation: 41-12=29
Moving to Node #0,4
Current State: 30:[41, 6, 38], Operations: ['72-34=38']
Exploring Operation: 6+38=44, Resulting Numbers: [41, 44]
Generated Node #0,4,0: 30:[41, 44] Operation: 6+38=44
Exploring Operation: 41-38=3, Resulting Numbers: [6, 3]
Generated Node #0,4,1: 30:[6, 3] Operation: 41-38=3
Exploring Operation: 38-6=32, Resulting Numbers: [41, 32]
Generated Node #0,4,2: 30:[41, 32] Operation: 38-6=32
Exploring Operation: 41+6=47, Resulting Numbers: [38, 47]
Generated Node #0,4,3: 30:[38, 47] Operation: 41+6=47
Exploring Operation: 41-6=35, Resulting Numbers: [38, 35]
Generated Node #0,4,4: 30:[38, 35] Operation: 41-6=35
Moving to Node #0,0
Current State: 30:[72, 6, 7], Operations: ['41-34=7']
Exploring Operation: 7-6=1, Resulting Numbers: [72, 1]
Generated Node #0,0,0: 30:[72, 1] Operation: 7-6=1
Exploring Operation: 6+7=13, Resulting Numbers: [72, 13]
Generated Node #0,0,1: 30:[72, 13] Operation: 6+7=13
Exploring Operation: 72/6=12, Resulting Numbers: [7, 12]
Generated Node #0,0,2: 30:[7, 12] Operation: 72/6=12
Exploring Operation: 72-6=66, Resulting Numbers: [7, 66]
Generated Node #0,0,3: 30:[7, 66] Operation: 72-6=66
Exploring Operation: 72-7=65, Resulting Numbers: [6, 65]
Generated Node #0,0,4: 30:[6, 65] Operation: 72-7=65
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[7, 12], Operations: ['41-34=7', '72/6=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 30:[6, 65], Operations: ['41-34=7', '72-7=65']
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,30 unequal: No Solution
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,30 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 30:[7, 66], Operations: ['41-34=7', '72-6=66']
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 7*66=462, Resulting Numbers: [462]
462,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[72, 1], Operations: ['41-34=7', '7-6=1']
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,30 unequal: No Solution
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,30 unequal: No Solution
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[72, 13], Operations: ['41-34=7', '6+7=13']
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,30 unequal: No Solution
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 30:[72, 34, 35], Operations: ['41-6=35']
Exploring Operation: 72-35=37, Resulting Numbers: [34, 37]
Generated Node #0,1,0: 30:[34, 37] Operation: 72-35=37
Exploring Operation: 72+34=106, Resulting Numbers: [35, 106]
Generated Node #0,1,1: 30:[35, 106] Operation: 72+34=106
Exploring Operation: 35-34=1, Resulting Numbers: [72, 1]
Generated Node #0,1,2: 30:[72, 1] Operation: 35-34=1
Exploring Operation: 72+35=107, Resulting Numbers: [34, 107]
Generated Node #0,1,3: 30:[34, 107] Operation: 72+35=107
Exploring Operation: 72-34=38, Resulting Numbers: [35, 38]
Generated Node #0,1,4: 30:[35, 38] Operation: 72-34=38
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[34, 37], Operations: ['41-6=35', '72-35=37']
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,30 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 34*37=1258, Resulting Numbers: [1258]
1258,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 30:[35, 38], Operations: ['41-6=35', '72-34=38']
Exploring Operation: 35*38=1330, Resulting Numbers: [1330]
1330,30 unequal: No Solution
Exploring Operation: 35+38=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 38-35=3, Resulting Numbers: [3]
3,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 30:[72, 1], Operations: ['41-6=35', '35-34=1']
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,30 unequal: No Solution
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,30 unequal: No Solution
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[35, 106], Operations: ['41-6=35', '72+34=106']
Exploring Operation: 35*106=3710, Resulting Numbers: [3710]
3710,30 unequal: No Solution
Exploring Operation: 106-35=71, Resulting Numbers: [71]
71,30 unequal: No Solution
Exploring Operation: 35+106=141, Resulting Numbers: [141]
141,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 30:[34, 107], Operations: ['41-6=35', '72+35=107']
Exploring Operation: 107-34=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 34+107=141, Resulting Numbers: [141]
141,30 unequal: No Solution
Exploring Operation: 34*107=3638, Resulting Numbers: [3638]
3638,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 30:[6, 3], Operations: ['72-34=38', '41-38=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Moving to Node #0,3,3
Current State: 30:[12, 7], Operations: ['72/6=12', '41-34=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,30 unequal: No Solution
Moving to Node #0,3,4
Current State: 30:[34, 29], Operations: ['72/6=12', '41-12=29']
Exploring Operation: 34*29=986, Resulting Numbers: [986]
986,30 unequal: No Solution
Exploring Operation: 34+29=63, Resulting Numbers: [63]
63,30 unequal: No Solution
Exploring Operation: 34-29=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Moving to Node #0,4,2
Current State: 30:[41, 32], Operations: ['72-34=38', '38-6=32']
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,30 unequal: No Solution
Moving to Node #0,4,4
Current State: 30:[38, 35], Operations: ['72-34=38', '41-6=35']
Exploring Operation: 38-35=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 38+35=73, Resulting Numbers: [73]
73,30 unequal: No Solution
Exploring Operation: 38*35=1330, Resulting Numbers: [1330]
1330,30 unequal: No Solution
Moving to Node #0,3,0
Current State: 30:[41, 22], Operations: ['72/6=12', '34-12=22']
Exploring Operation: 41*22=902, Resulting Numbers: [902]
902,30 unequal: No Solution
Exploring Operation: 41+22=63, Resulting Numbers: [63]
63,30 unequal: No Solution
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Moving to Node #0,4,3
Current State: 30:[38, 47], Operations: ['72-34=38', '41+6=47']
Exploring Operation: 47-38=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 38*47=1786, Resulting Numbers: [1786]
1786,30 unequal: No Solution
Exploring Operation: 38+47=85, Resulting Numbers: [85]
85,30 unequal: No Solution
Moving to Node #0,4,0
Current State: 30:[41, 44], Operations: ['72-34=38', '6+38=44']
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,30 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[41, 46], Operations: ['72/6=12', '34+12=46']
Exploring Operation: 41*46=1886, Resulting Numbers: [1886]
1886,30 unequal: No Solution
Exploring Operation: 41+46=87, Resulting Numbers: [87]
87,30 unequal: No Solution
Exploring Operation: 46-41=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[34, 53], Operations: ['72/6=12', '41+12=53']
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 34*53=1802, Resulting Numbers: [1802]
1802,30 unequal: No Solution
Exploring Operation: 34+53=87, Resulting Numbers: [87]
87,30 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
54,
62,
75,
66
] | 25 | [
"54+62=116",
"75+66=141",
"141-116=25"
] | Current State: 25:[54, 62, 75, 66], Operations: []
Exploring Operation: 54+62=116, Resulting Numbers: [75, 66, 116]
Generated Node #2: [75, 66, 116] from Operation: 54+62=116
Current State: 25:[75, 66, 116], Operations: ['54+62=116']
Exploring Operation: 75+66=141, Resulting Numbers: [116, 141]
Generated Node #3: [116, 141] from Operation: 75+66=141
Current State: 25:[116, 141], Operations: ['54+62=116', '75+66=141']
Exploring Operation: 141-116=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[54, 62, 75, 66], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [54, 62, 9]
Generated Node #0,0: 25:[54, 62, 9] Operation: 75-66=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[54, 62, 9], Operations: ['75-66=9']
Exploring Operation: 62-54=8, Resulting Numbers: [9, 8]
Generated Node #0,0,0: 25:[9, 8] Operation: 62-54=8
Moving to Node #0,0,0
Current State: 25:[9, 8], Operations: ['75-66=9', '62-54=8']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,25 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 |
[
83,
40,
84,
53
] | 14 | [
"83+40=123",
"84+53=137",
"137-123=14"
] | Current State: 14:[83, 40, 84, 53], Operations: []
Exploring Operation: 83+40=123, Resulting Numbers: [84, 53, 123]
Generated Node #2: [84, 53, 123] from Operation: 83+40=123
Current State: 14:[84, 53, 123], Operations: ['83+40=123']
Exploring Operation: 84+53=137, Resulting Numbers: [123, 137]
Generated Node #3: [123, 137] from Operation: 84+53=137
Current State: 14:[123, 137], Operations: ['83+40=123', '84+53=137']
Exploring Operation: 137-123=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[83, 40, 84, 53], Operations: []
Exploring Operation: 83-53=30, Resulting Numbers: [40, 84, 30]
Generated Node #0,0: 14:[40, 84, 30] Operation: 83-53=30
Exploring Operation: 84-40=44, Resulting Numbers: [83, 53, 44]
Generated Node #0,1: 14:[83, 53, 44] Operation: 84-40=44
Exploring Operation: 83-40=43, Resulting Numbers: [84, 53, 43]
Generated Node #0,2: 14:[84, 53, 43] Operation: 83-40=43
Exploring Operation: 84-83=1, Resulting Numbers: [40, 53, 1]
Generated Node #0,3: 14:[40, 53, 1] Operation: 84-83=1
Exploring Operation: 84-53=31, Resulting Numbers: [83, 40, 31]
Generated Node #0,4: 14:[83, 40, 31] Operation: 84-53=31
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[40, 53, 1], Operations: ['84-83=1']
Exploring Operation: 40*1=40, Resulting Numbers: [53, 40]
Generated Node #0,3,0: 14:[53, 40] Operation: 40*1=40
Exploring Operation: 53-40=13, Resulting Numbers: [1, 13]
Generated Node #0,3,1: 14:[1, 13] Operation: 53-40=13
Exploring Operation: 40-1=39, Resulting Numbers: [53, 39]
Generated Node #0,3,2: 14:[53, 39] Operation: 40-1=39
Exploring Operation: 53-1=52, Resulting Numbers: [40, 52]
Generated Node #0,3,3: 14:[40, 52] Operation: 53-1=52
Exploring Operation: 40/1=40, Resulting Numbers: [53, 40]
Generated Node #0,3,4: 14:[53, 40] Operation: 40/1=40
Moving to Node #0,3,1
Current State: 14:[1, 13], Operations: ['84-83=1', '53-40=13']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[83, 40, 84, 53], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [40, 53, 1]
Generated Node #0,3: 14:[40, 53, 1] Operation: 84-83=1
Moving to Node #0,3
Current State: 14:[40, 53, 1], Operations: ['84-83=1']
Exploring Operation: 53-40=13, Resulting Numbers: [1, 13]
Generated Node #0,3,1: 14:[1, 13] Operation: 53-40=13
Moving to Node #0,3,1
Current State: 14:[1, 13], Operations: ['84-83=1', '53-40=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
48,
5,
7,
93
] | 10 | [
"93-48=45",
"5*7=35",
"45-35=10"
] | Current State: 10:[48, 5, 7, 93], Operations: []
Exploring Operation: 93-48=45, Resulting Numbers: [5, 7, 45]
Generated Node #2: [5, 7, 45] from Operation: 93-48=45
Current State: 10:[5, 7, 45], Operations: ['93-48=45']
Exploring Operation: 5*7=35, Resulting Numbers: [45, 35]
Generated Node #3: [45, 35] from Operation: 5*7=35
Current State: 10:[45, 35], Operations: ['93-48=45', '5*7=35']
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[48, 5, 7, 93], Operations: []
Exploring Operation: 93-5=88, Resulting Numbers: [48, 7, 88]
Generated Node #0,0: 10:[48, 7, 88] Operation: 93-5=88
Exploring Operation: 93-7=86, Resulting Numbers: [48, 5, 86]
Generated Node #0,1: 10:[48, 5, 86] Operation: 93-7=86
Exploring Operation: 48-7=41, Resulting Numbers: [5, 93, 41]
Generated Node #0,2: 10:[5, 93, 41] Operation: 48-7=41
Exploring Operation: 48-5=43, Resulting Numbers: [7, 93, 43]
Generated Node #0,3: 10:[7, 93, 43] Operation: 48-5=43
Exploring Operation: 93-48=45, Resulting Numbers: [5, 7, 45]
Generated Node #0,4: 10:[5, 7, 45] Operation: 93-48=45
Moving to Node #0,4
Current State: 10:[5, 7, 45], Operations: ['93-48=45']
Exploring Operation: 45/5=9, Resulting Numbers: [7, 9]
Generated Node #0,4,0: 10:[7, 9] Operation: 45/5=9
Exploring Operation: 5+7=12, Resulting Numbers: [45, 12]
Generated Node #0,4,1: 10:[45, 12] Operation: 5+7=12
Exploring Operation: 45-5=40, Resulting Numbers: [7, 40]
Generated Node #0,4,2: 10:[7, 40] Operation: 45-5=40
Exploring Operation: 45-7=38, Resulting Numbers: [5, 38]
Generated Node #0,4,3: 10:[5, 38] Operation: 45-7=38
Exploring Operation: 7-5=2, Resulting Numbers: [45, 2]
Generated Node #0,4,4: 10:[45, 2] Operation: 7-5=2
Moving to Node #0,2
Current State: 10:[5, 93, 41], Operations: ['48-7=41']
Exploring Operation: 41-5=36, Resulting Numbers: [93, 36]
Generated Node #0,2,0: 10:[93, 36] Operation: 41-5=36
Exploring Operation: 5+41=46, Resulting Numbers: [93, 46]
Generated Node #0,2,1: 10:[93, 46] Operation: 5+41=46
Exploring Operation: 5+93=98, Resulting Numbers: [41, 98]
Generated Node #0,2,2: 10:[41, 98] Operation: 5+93=98
Exploring Operation: 93-41=52, Resulting Numbers: [5, 52]
Generated Node #0,2,3: 10:[5, 52] Operation: 93-41=52
Exploring Operation: 93-5=88, Resulting Numbers: [41, 88]
Generated Node #0,2,4: 10:[41, 88] Operation: 93-5=88
Moving to Node #0,1
Current State: 10:[48, 5, 86], Operations: ['93-7=86']
Exploring Operation: 5+86=91, Resulting Numbers: [48, 91]
Generated Node #0,1,0: 10:[48, 91] Operation: 5+86=91
Exploring Operation: 48+5=53, Resulting Numbers: [86, 53]
Generated Node #0,1,1: 10:[86, 53] Operation: 48+5=53
Exploring Operation: 86-48=38, Resulting Numbers: [5, 38]
Generated Node #0,1,2: 10:[5, 38] Operation: 86-48=38
Exploring Operation: 86-5=81, Resulting Numbers: [48, 81]
Generated Node #0,1,3: 10:[48, 81] Operation: 86-5=81
Exploring Operation: 48-5=43, Resulting Numbers: [86, 43]
Generated Node #0,1,4: 10:[86, 43] Operation: 48-5=43
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[5, 38], Operations: ['93-7=86', '86-48=38']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,10 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 #0,1,3
Current State: 10:[48, 81], Operations: ['93-7=86', '86-5=81']
Exploring Operation: 48+81=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 48*81=3888, Resulting Numbers: [3888]
3888,10 unequal: No Solution
Exploring Operation: 81-48=33, Resulting Numbers: [33]
33,10 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 #0,1,4
Current State: 10:[86, 43], Operations: ['93-7=86', '48-5=43']
Exploring Operation: 86*43=3698, Resulting Numbers: [3698]
3698,10 unequal: No Solution
Exploring Operation: 86+43=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 86/43=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 86-43=43, Resulting Numbers: [43]
43,10 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 #0,1,0
Current State: 10:[48, 91], Operations: ['93-7=86', '5+86=91']
Exploring Operation: 48*91=4368, Resulting Numbers: [4368]
4368,10 unequal: No Solution
Exploring Operation: 48+91=139, Resulting Numbers: [139]
139,10 unequal: No Solution
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,10 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 #0,1,1
Current State: 10:[86, 53], Operations: ['93-7=86', '48+5=53']
Exploring Operation: 86*53=4558, Resulting Numbers: [4558]
4558,10 unequal: No Solution
Exploring Operation: 86-53=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 86+53=139, Resulting Numbers: [139]
139,10 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: 10:[48, 7, 88], Operations: ['93-5=88']
Exploring Operation: 48-7=41, Resulting Numbers: [88, 41]
Generated Node #0,0,0: 10:[88, 41] Operation: 48-7=41
Exploring Operation: 88-48=40, Resulting Numbers: [7, 40]
Generated Node #0,0,1: 10:[7, 40] Operation: 88-48=40
Exploring Operation: 7+88=95, Resulting Numbers: [48, 95]
Generated Node #0,0,2: 10:[48, 95] Operation: 7+88=95
Exploring Operation: 48+7=55, Resulting Numbers: [88, 55]
Generated Node #0,0,3: 10:[88, 55] Operation: 48+7=55
Exploring Operation: 88-7=81, Resulting Numbers: [48, 81]
Generated Node #0,0,4: 10:[48, 81] Operation: 88-7=81
Moving to Node #0,3
Current State: 10:[7, 93, 43], Operations: ['48-5=43']
Exploring Operation: 93-43=50, Resulting Numbers: [7, 50]
Generated Node #0,3,0: 10:[7, 50] Operation: 93-43=50
Exploring Operation: 7+43=50, Resulting Numbers: [93, 50]
Generated Node #0,3,1: 10:[93, 50] Operation: 7+43=50
Exploring Operation: 93-7=86, Resulting Numbers: [43, 86]
Generated Node #0,3,2: 10:[43, 86] Operation: 93-7=86
Exploring Operation: 43-7=36, Resulting Numbers: [93, 36]
Generated Node #0,3,3: 10:[93, 36] Operation: 43-7=36
Exploring Operation: 7+93=100, Resulting Numbers: [43, 100]
Generated Node #0,3,4: 10:[43, 100] Operation: 7+93=100
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 10:[7, 50], Operations: ['48-5=43', '93-43=50']
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,10 unequal: No Solution
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,10 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,10 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 #0,3,2
Current State: 10:[43, 86], Operations: ['48-5=43', '93-7=86']
Exploring Operation: 86/43=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 43+86=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 86-43=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 43*86=3698, Resulting Numbers: [3698]
3698,10 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 #0,3,3
Current State: 10:[93, 36], Operations: ['48-5=43', '43-7=36']
Exploring Operation: 93*36=3348, Resulting Numbers: [3348]
3348,10 unequal: No Solution
Exploring Operation: 93+36=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,10 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 #0,3,1
Current State: 10:[93, 50], Operations: ['48-5=43', '7+43=50']
Exploring Operation: 93+50=143, Resulting Numbers: [143]
143,10 unequal: No Solution
Exploring Operation: 93-50=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 93*50=4650, Resulting Numbers: [4650]
4650,10 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 #0,3,4
Current State: 10:[43, 100], Operations: ['48-5=43', '7+93=100']
Exploring Operation: 100-43=57, Resulting Numbers: [57]
57,10 unequal: No Solution
Exploring Operation: 43+100=143, Resulting Numbers: [143]
143,10 unequal: No Solution
Exploring Operation: 43*100=4300, Resulting Numbers: [4300]
4300,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 10:[7, 9], Operations: ['93-48=45', '45/5=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,10 unequal: No Solution
Moving to Node #0,4,3
Current State: 10:[5, 38], Operations: ['93-48=45', '45-7=38']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,10 unequal: No Solution
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Moving to Node #0,4,2
Current State: 10:[7, 40], Operations: ['93-48=45', '45-5=40']
Exploring Operation: 7*40=280, Resulting Numbers: [280]
280,10 unequal: No Solution
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[7, 40], Operations: ['93-5=88', '88-48=40']
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 7*40=280, Resulting Numbers: [280]
280,10 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Moving to Node #0,4,4
Current State: 10:[45, 2], Operations: ['93-48=45', '7-5=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,10 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Moving to Node #0,4,1
Current State: 10:[45, 12], Operations: ['93-48=45', '5+7=12']
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,10 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 45*12=540, Resulting Numbers: [540]
540,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[5, 52], Operations: ['48-7=41', '93-41=52']
Exploring Operation: 5*52=260, Resulting Numbers: [260]
260,10 unequal: No Solution
Exploring Operation: 5+52=57, Resulting Numbers: [57]
57,10 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[93, 36], Operations: ['48-7=41', '41-5=36']
Exploring Operation: 93+36=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,10 unequal: No Solution
Exploring Operation: 93*36=3348, Resulting Numbers: [3348]
3348,10 unequal: No Solution
Moving to Node #0,0,4
Current State: 10:[48, 81], Operations: ['93-5=88', '88-7=81']
Exploring Operation: 81-48=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 48*81=3888, Resulting Numbers: [3888]
3888,10 unequal: No Solution
Exploring Operation: 48+81=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[88, 41], Operations: ['93-5=88', '48-7=41']
Exploring Operation: 88*41=3608, Resulting Numbers: [3608]
3608,10 unequal: No Solution
Exploring Operation: 88-41=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 88+41=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Moving to Node #0,2,4
Current State: 10:[41, 88], Operations: ['48-7=41', '93-5=88']
Exploring Operation: 41*88=3608, Resulting Numbers: [3608]
3608,10 unequal: No Solution
Exploring Operation: 41+88=129, Resulting Numbers: [129]
129,10 unequal: No Solution
Exploring Operation: 88-41=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[93, 46], Operations: ['48-7=41', '5+41=46']
Exploring Operation: 93*46=4278, Resulting Numbers: [4278]
4278,10 unequal: No Solution
Exploring Operation: 93+46=139, Resulting Numbers: [139]
139,10 unequal: No Solution
Exploring Operation: 93-46=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[41, 98], Operations: ['48-7=41', '5+93=98']
Exploring Operation: 41*98=4018, Resulting Numbers: [4018]
4018,10 unequal: No Solution
Exploring Operation: 98-41=57, Resulting Numbers: [57]
57,10 unequal: No Solution
Exploring Operation: 41+98=139, Resulting Numbers: [139]
139,10 unequal: No Solution
Moving to Node #0,0,3
Current State: 10:[88, 55], Operations: ['93-5=88', '48+7=55']
Exploring Operation: 88+55=143, Resulting Numbers: [143]
143,10 unequal: No Solution
Exploring Operation: 88*55=4840, Resulting Numbers: [4840]
4840,10 unequal: No Solution
Exploring Operation: 88-55=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[48, 95], Operations: ['93-5=88', '7+88=95']
Exploring Operation: 48*95=4560, Resulting Numbers: [4560]
4560,10 unequal: No Solution
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 48+95=143, Resulting Numbers: [143]
143,10 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
66,
70,
18,
72
] | 51 | [
"72-70=2",
"66/2=33",
"18+33=51"
] | Current State: 51:[66, 70, 18, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [66, 18, 2]
Generated Node #2: [66, 18, 2] from Operation: 72-70=2
Current State: 51:[66, 18, 2], Operations: ['72-70=2']
Exploring Operation: 66/2=33, Resulting Numbers: [18, 33]
Generated Node #3: [18, 33] from Operation: 66/2=33
Current State: 51:[18, 33], Operations: ['72-70=2', '66/2=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[66, 70, 18, 72], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [18, 72, 4]
Generated Node #0,0: 51:[18, 72, 4] Operation: 70-66=4
Exploring Operation: 72-70=2, Resulting Numbers: [66, 18, 2]
Generated Node #0,1: 51:[66, 18, 2] Operation: 72-70=2
Exploring Operation: 72-66=6, Resulting Numbers: [70, 18, 6]
Generated Node #0,2: 51:[70, 18, 6] Operation: 72-66=6
Exploring Operation: 72/18=4, Resulting Numbers: [66, 70, 4]
Generated Node #0,3: 51:[66, 70, 4] Operation: 72/18=4
Moving to Node #0,1
Current State: 51:[66, 18, 2], Operations: ['72-70=2']
Exploring Operation: 66/2=33, Resulting Numbers: [18, 33]
Generated Node #0,1,0: 51:[18, 33] Operation: 66/2=33
Exploring Operation: 66-2=64, Resulting Numbers: [18, 64]
Generated Node #0,1,1: 51:[18, 64] Operation: 66-2=64
Exploring Operation: 66-18=48, Resulting Numbers: [2, 48]
Generated Node #0,1,2: 51:[2, 48] Operation: 66-18=48
Exploring Operation: 18-2=16, Resulting Numbers: [66, 16]
Generated Node #0,1,3: 51:[66, 16] Operation: 18-2=16
Moving to Node #0,2
Current State: 51:[70, 18, 6], Operations: ['72-66=6']
Exploring Operation: 18/6=3, Resulting Numbers: [70, 3]
Generated Node #0,2,0: 51:[70, 3] Operation: 18/6=3
Exploring Operation: 18-6=12, Resulting Numbers: [70, 12]
Generated Node #0,2,1: 51:[70, 12] Operation: 18-6=12
Exploring Operation: 70-6=64, Resulting Numbers: [18, 64]
Generated Node #0,2,2: 51:[18, 64] Operation: 70-6=64
Exploring Operation: 70-18=52, Resulting Numbers: [6, 52]
Generated Node #0,2,3: 51:[6, 52] Operation: 70-18=52
Moving to Node #0,0
Current State: 51:[18, 72, 4], Operations: ['70-66=4']
Exploring Operation: 72/4=18, Resulting Numbers: [18, 18]
Generated Node #0,0,0: 51:[18, 18] Operation: 72/4=18
Exploring Operation: 72/18=4, Resulting Numbers: [4, 4]
Generated Node #0,0,1: 51:[4, 4] Operation: 72/18=4
Exploring Operation: 72-4=68, Resulting Numbers: [18, 68]
Generated Node #0,0,2: 51:[18, 68] Operation: 72-4=68
Exploring Operation: 72-18=54, Resulting Numbers: [4, 54]
Generated Node #0,0,3: 51:[4, 54] Operation: 72-18=54
Moving to Node #0,3
Current State: 51:[66, 70, 4], Operations: ['72/18=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66, 66]
Generated Node #0,3,0: 51:[66, 66] Operation: 70-4=66
Exploring Operation: 66+4=70, Resulting Numbers: [70, 70]
Generated Node #0,3,1: 51:[70, 70] Operation: 66+4=70
Exploring Operation: 66-4=62, Resulting Numbers: [70, 62]
Generated Node #0,3,2: 51:[70, 62] Operation: 66-4=62
Exploring Operation: 70-66=4, Resulting Numbers: [4, 4]
Generated Node #0,3,3: 51:[4, 4] Operation: 70-66=4
Moving to Node #0,0,0
Current State: 51:[18, 18], Operations: ['70-66=4', '72/4=18']
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[4, 4], Operations: ['72/18=4', '70-66=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[4, 4], Operations: ['70-66=4', '72/18=4']
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[2, 48], Operations: ['72-70=2', '66-18=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,51 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[4, 54], Operations: ['70-66=4', '72-18=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[6, 52], Operations: ['72-66=6', '70-18=52']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 6*52=312, Resulting Numbers: [312]
312,51 unequal: No Solution
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[18, 64], Operations: ['72-66=6', '70-6=64']
Exploring Operation: 18*64=1152, Resulting Numbers: [1152]
1152,51 unequal: No Solution
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 18+64=82, Resulting Numbers: [82]
82,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[18, 64], Operations: ['72-70=2', '66-2=64']
Exploring Operation: 18+64=82, Resulting Numbers: [82]
82,51 unequal: No Solution
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 18*64=1152, Resulting Numbers: [1152]
1152,51 unequal: No Solution
Moving to Node #0,1,3
Current State: 51:[66, 16], Operations: ['72-70=2', '18-2=16']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 66+16=82, Resulting Numbers: [82]
82,51 unequal: No Solution
Exploring Operation: 66*16=1056, Resulting Numbers: [1056]
1056,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[18, 33], Operations: ['72-70=2', '66/2=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[66, 70, 18, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [66, 18, 2]
Generated Node #0,1: 51:[66, 18, 2] Operation: 72-70=2
Moving to Node #0,1
Current State: 51:[66, 18, 2], Operations: ['72-70=2']
Exploring Operation: 66/2=33, Resulting Numbers: [18, 33]
Generated Node #0,1,0: 51:[18, 33] Operation: 66/2=33
Moving to Node #0,1,0
Current State: 51:[18, 33], Operations: ['72-70=2', '66/2=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.951389 | hs_4 | sum_heuristic |
[
58,
2,
41,
2
] | 99 | [
"58+2=60",
"41-2=39",
"60+39=99"
] | Current State: 99:[58, 2, 41, 2], Operations: []
Exploring Operation: 58+2=60, Resulting Numbers: [41, 60]
Generated Node #2: [41, 60] from Operation: 58+2=60
Current State: 99:[41, 60], Operations: ['58+2=60']
Exploring Operation: 41-2=39, Resulting Numbers: [60, 39]
Generated Node #3: [60, 39] from Operation: 41-2=39
Current State: 99:[60, 39], Operations: ['58+2=60', '41-2=39']
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[58, 2, 41, 2], Operations: []
Exploring Operation: 58+41=99, Resulting Numbers: [2, 2, 99]
Generated Node #0,0: 99:[2, 2, 99] Operation: 58+41=99
Exploring Operation: 58-41=17, Resulting Numbers: [2, 2, 17]
Generated Node #0,1: 99:[2, 2, 17] Operation: 58-41=17
Moving to Node #0,0
Current State: 99:[2, 2, 99], Operations: ['58+41=99']
Exploring Operation: 2+2=4, Resulting Numbers: [99, 4]
Generated Node #0,0,0: 99:[99, 4] Operation: 2+2=4
Exploring Operation: 2*2=4, Resulting Numbers: [99, 4]
Generated Node #0,0,1: 99:[99, 4] Operation: 2*2=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[99, 4], Operations: ['58+41=99', '2+2=4']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,99 unequal: No Solution
Exploring Operation: 99+4=103, Resulting Numbers: [103]
103,99 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 #0,0,1
Current State: 99:[99, 4], Operations: ['58+41=99', '2*2=4']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,99 unequal: No Solution
Exploring Operation: 99+4=103, Resulting Numbers: [103]
103,99 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: 99:[2, 2, 17], Operations: ['58-41=17']
Exploring Operation: 2*17=34, Resulting Numbers: [2, 34]
Generated Node #0,1,0: 99:[2, 34] Operation: 2*17=34
Exploring Operation: 2*17=34, Resulting Numbers: [2, 34]
Generated Node #0,1,1: 99:[2, 34] Operation: 2*17=34
Moving to Node #0,1,0
Current State: 99:[2, 34], Operations: ['58-41=17', '2*17=34']
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[2, 34], Operations: ['58-41=17', '2*17=34']
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,99 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
60,
34,
85,
99
] | 40 | [
"60-34=26",
"99-85=14",
"26+14=40"
] | Current State: 40:[60, 34, 85, 99], Operations: []
Exploring Operation: 60-34=26, Resulting Numbers: [85, 99, 26]
Generated Node #2: [85, 99, 26] from Operation: 60-34=26
Current State: 40:[85, 99, 26], Operations: ['60-34=26']
Exploring Operation: 99-85=14, Resulting Numbers: [26, 14]
Generated Node #3: [26, 14] from Operation: 99-85=14
Current State: 40:[26, 14], Operations: ['60-34=26', '99-85=14']
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[60, 34, 85, 99], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [60, 34, 14]
Generated Node #0,0: 40:[60, 34, 14] Operation: 99-85=14
Moving to Node #0,0
Current State: 40:[60, 34, 14], Operations: ['99-85=14']
Exploring Operation: 60-34=26, Resulting Numbers: [14, 26]
Generated Node #0,0,0: 40:[14, 26] Operation: 60-34=26
Moving to Node #0,0,0
Current State: 40:[14, 26], Operations: ['99-85=14', '60-34=26']
Exploring Operation: 14+26=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[60, 34, 85, 99], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [60, 34, 14]
Generated Node #0,0: 40:[60, 34, 14] Operation: 99-85=14
Moving to Node #0,0
Current State: 40:[60, 34, 14], Operations: ['99-85=14']
Exploring Operation: 60-34=26, Resulting Numbers: [14, 26]
Generated Node #0,0,0: 40:[14, 26] Operation: 60-34=26
Moving to Node #0,0,0
Current State: 40:[14, 26], Operations: ['99-85=14', '60-34=26']
Exploring Operation: 14+26=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
40,
10,
39,
84
] | 75 | [
"40-10=30",
"84-39=45",
"30+45=75"
] | Current State: 75:[40, 10, 39, 84], Operations: []
Exploring Operation: 40-10=30, Resulting Numbers: [39, 84, 30]
Generated Node #2: [39, 84, 30] from Operation: 40-10=30
Current State: 75:[39, 84, 30], Operations: ['40-10=30']
Exploring Operation: 84-39=45, Resulting Numbers: [30, 45]
Generated Node #3: [30, 45] from Operation: 84-39=45
Current State: 75:[30, 45], Operations: ['40-10=30', '84-39=45']
Exploring Operation: 30+45=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[40, 10, 39, 84], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [10, 84, 1]
Generated Node #0,0: 75:[10, 84, 1] Operation: 40-39=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[10, 84, 1], Operations: ['40-39=1']
Exploring Operation: 84-10=74, Resulting Numbers: [1, 74]
Generated Node #0,0,0: 75:[1, 74] Operation: 84-10=74
Moving to Node #0,0,0
Current State: 75:[1, 74], Operations: ['40-39=1', '84-10=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[40, 10, 39, 84], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [10, 84, 1]
Generated Node #0,0: 75:[10, 84, 1] Operation: 40-39=1
Moving to Node #0,0
Current State: 75:[10, 84, 1], Operations: ['40-39=1']
Exploring Operation: 84-10=74, Resulting Numbers: [1, 74]
Generated Node #0,0,0: 75:[1, 74] Operation: 84-10=74
Moving to Node #0,0,0
Current State: 75:[1, 74], Operations: ['40-39=1', '84-10=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
7,
41,
22,
23
] | 34 | [
"41-7=34",
"23-22=1",
"34*1=34"
] | Current State: 34:[7, 41, 22, 23], Operations: []
Exploring Operation: 41-7=34, Resulting Numbers: [22, 23, 34]
Generated Node #2: [22, 23, 34] from Operation: 41-7=34
Current State: 34:[22, 23, 34], Operations: ['41-7=34']
Exploring Operation: 23-22=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 23-22=1
Current State: 34:[34, 1], Operations: ['41-7=34', '23-22=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[7, 41, 22, 23], Operations: []
Exploring Operation: 41-7=34, Resulting Numbers: [22, 23, 34]
Generated Node #0,0: 34:[22, 23, 34] Operation: 41-7=34
Exploring Operation: 23-7=16, Resulting Numbers: [41, 22, 16]
Generated Node #0,1: 34:[41, 22, 16] Operation: 23-7=16
Exploring Operation: 41-23=18, Resulting Numbers: [7, 22, 18]
Generated Node #0,2: 34:[7, 22, 18] Operation: 41-23=18
Moving to Node #0,0
Current State: 34:[22, 23, 34], Operations: ['41-7=34']
Exploring Operation: 34-22=12, Resulting Numbers: [23, 12]
Generated Node #0,0,0: 34:[23, 12] Operation: 34-22=12
Exploring Operation: 22+23=45, Resulting Numbers: [34, 45]
Generated Node #0,0,1: 34:[34, 45] Operation: 22+23=45
Exploring Operation: 23-22=1, Resulting Numbers: [34, 1]
Generated Node #0,0,2: 34:[34, 1] Operation: 23-22=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 34:[34, 1], Operations: ['41-7=34', '23-22=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[7, 41, 22, 23], Operations: []
Exploring Operation: 41-7=34, Resulting Numbers: [22, 23, 34]
Generated Node #0,0: 34:[22, 23, 34] Operation: 41-7=34
Moving to Node #0,0
Current State: 34:[22, 23, 34], Operations: ['41-7=34']
Exploring Operation: 23-22=1, Resulting Numbers: [34, 1]
Generated Node #0,0,2: 34:[34, 1] Operation: 23-22=1
Moving to Node #0,0,2
Current State: 34:[34, 1], Operations: ['41-7=34', '23-22=1']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
90,
21,
39,
92
] | 16 | [
"90-21=69",
"92-39=53",
"69-53=16"
] | Current State: 16:[90, 21, 39, 92], Operations: []
Exploring Operation: 90-21=69, Resulting Numbers: [39, 92, 69]
Generated Node #2: [39, 92, 69] from Operation: 90-21=69
Current State: 16:[39, 92, 69], Operations: ['90-21=69']
Exploring Operation: 92-39=53, Resulting Numbers: [69, 53]
Generated Node #3: [69, 53] from Operation: 92-39=53
Current State: 16:[69, 53], Operations: ['90-21=69', '92-39=53']
Exploring Operation: 69-53=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[90, 21, 39, 92], Operations: []
Exploring Operation: 90-39=51, Resulting Numbers: [21, 92, 51]
Generated Node #0,0: 16:[21, 92, 51] Operation: 90-39=51
Exploring Operation: 92-39=53, Resulting Numbers: [90, 21, 53]
Generated Node #0,1: 16:[90, 21, 53] Operation: 92-39=53
Exploring Operation: 90-21=69, Resulting Numbers: [39, 92, 69]
Generated Node #0,2: 16:[39, 92, 69] Operation: 90-21=69
Exploring Operation: 92-90=2, Resulting Numbers: [21, 39, 2]
Generated Node #0,3: 16:[21, 39, 2] Operation: 92-90=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[21, 39, 2], Operations: ['92-90=2']
Exploring Operation: 21-2=19, Resulting Numbers: [39, 19]
Generated Node #0,3,0: 16:[39, 19] Operation: 21-2=19
Exploring Operation: 21+2=23, Resulting Numbers: [39, 23]
Generated Node #0,3,1: 16:[39, 23] Operation: 21+2=23
Exploring Operation: 39-2=37, Resulting Numbers: [21, 37]
Generated Node #0,3,2: 16:[21, 37] Operation: 39-2=37
Exploring Operation: 39-21=18, Resulting Numbers: [2, 18]
Generated Node #0,3,3: 16:[2, 18] Operation: 39-21=18
Moving to Node #0,3,3
Current State: 16:[2, 18], Operations: ['92-90=2', '39-21=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[90, 21, 39, 92], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [21, 39, 2]
Generated Node #0,3: 16:[21, 39, 2] Operation: 92-90=2
Moving to Node #0,3
Current State: 16:[21, 39, 2], Operations: ['92-90=2']
Exploring Operation: 39-21=18, Resulting Numbers: [2, 18]
Generated Node #0,3,3: 16:[2, 18] Operation: 39-21=18
Moving to Node #0,3,3
Current State: 16:[2, 18], Operations: ['92-90=2', '39-21=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
26,
74,
18,
31
] | 87 | [
"26+74=100",
"31-18=13",
"100-13=87"
] | Current State: 87:[26, 74, 18, 31], Operations: []
Exploring Operation: 26+74=100, Resulting Numbers: [18, 31, 100]
Generated Node #2: [18, 31, 100] from Operation: 26+74=100
Current State: 87:[18, 31, 100], Operations: ['26+74=100']
Exploring Operation: 31-18=13, Resulting Numbers: [100, 13]
Generated Node #3: [100, 13] from Operation: 31-18=13
Current State: 87:[100, 13], Operations: ['26+74=100', '31-18=13']
Exploring Operation: 100-13=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[26, 74, 18, 31], Operations: []
Exploring Operation: 74+18=92, Resulting Numbers: [26, 31, 92]
Generated Node #0,0: 87:[26, 31, 92] Operation: 74+18=92
Exploring Operation: 26-18=8, Resulting Numbers: [74, 31, 8]
Generated Node #0,1: 87:[74, 31, 8] Operation: 26-18=8
Moving to Node #0,0
Current State: 87:[26, 31, 92], Operations: ['74+18=92']
Exploring Operation: 31-26=5, Resulting Numbers: [92, 5]
Generated Node #0,0,0: 87:[92, 5] Operation: 31-26=5
Exploring Operation: 92-26=66, Resulting Numbers: [31, 66]
Generated Node #0,0,1: 87:[31, 66] Operation: 92-26=66
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[92, 5], Operations: ['74+18=92', '31-26=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,87 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[26, 74, 18, 31], Operations: []
Exploring Operation: 74+18=92, Resulting Numbers: [26, 31, 92]
Generated Node #0,0: 87:[26, 31, 92] Operation: 74+18=92
Moving to Node #0,0
Current State: 87:[26, 31, 92], Operations: ['74+18=92']
Exploring Operation: 31-26=5, Resulting Numbers: [92, 5]
Generated Node #0,0,0: 87:[92, 5] Operation: 31-26=5
Moving to Node #0,0,0
Current State: 87:[92, 5], Operations: ['74+18=92', '31-26=5']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
42,
1,
64,
77
] | 100 | [
"42-1=41",
"64+77=141",
"141-41=100"
] | Current State: 100:[42, 1, 64, 77], Operations: []
Exploring Operation: 42-1=41, Resulting Numbers: [64, 77, 41]
Generated Node #2: [64, 77, 41] from Operation: 42-1=41
Current State: 100:[64, 77, 41], Operations: ['42-1=41']
Exploring Operation: 64+77=141, Resulting Numbers: [41, 141]
Generated Node #3: [41, 141] from Operation: 64+77=141
Current State: 100:[41, 141], Operations: ['42-1=41', '64+77=141']
Exploring Operation: 141-41=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[42, 1, 64, 77], Operations: []
Exploring Operation: 77-64=13, Resulting Numbers: [42, 1, 13]
Generated Node #0,0: 100:[42, 1, 13] Operation: 77-64=13
Exploring Operation: 77-42=35, Resulting Numbers: [1, 64, 35]
Generated Node #0,1: 100:[1, 64, 35] Operation: 77-42=35
Exploring Operation: 64-42=22, Resulting Numbers: [1, 77, 22]
Generated Node #0,2: 100:[1, 77, 22] Operation: 64-42=22
Exploring Operation: 42+64=106, Resulting Numbers: [1, 77, 106]
Generated Node #0,3: 100:[1, 77, 106] Operation: 42+64=106
Moving to Node #0,0
Current State: 100:[42, 1, 13], Operations: ['77-64=13']
Exploring Operation: 13-1=12, Resulting Numbers: [42, 12]
Generated Node #0,0,0: 100:[42, 12] Operation: 13-1=12
Exploring Operation: 42+13=55, Resulting Numbers: [1, 55]
Generated Node #0,0,1: 100:[1, 55] Operation: 42+13=55
Exploring Operation: 42+1=43, Resulting Numbers: [13, 43]
Generated Node #0,0,2: 100:[13, 43] Operation: 42+1=43
Exploring Operation: 42-13=29, Resulting Numbers: [1, 29]
Generated Node #0,0,3: 100:[1, 29] Operation: 42-13=29
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 100:[1, 29], Operations: ['77-64=13', '42-13=29']
Exploring Operation: 1*29=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[1, 55], Operations: ['77-64=13', '42+13=55']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,100 unequal: No Solution
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[42, 12], Operations: ['77-64=13', '13-1=12']
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,100 unequal: No Solution
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 100:[13, 43], Operations: ['77-64=13', '42+1=43']
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,100 unequal: No Solution
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,100 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 100:[1, 64, 35], Operations: ['77-42=35']
Exploring Operation: 35-1=34, Resulting Numbers: [64, 34]
Generated Node #0,1,0: 100:[64, 34] Operation: 35-1=34
Exploring Operation: 64-1=63, Resulting Numbers: [35, 63]
Generated Node #0,1,1: 100:[35, 63] Operation: 64-1=63
Exploring Operation: 64+35=99, Resulting Numbers: [1, 99]
Generated Node #0,1,2: 100:[1, 99] Operation: 64+35=99
Exploring Operation: 64-35=29, Resulting Numbers: [1, 29]
Generated Node #0,1,3: 100:[1, 29] Operation: 64-35=29
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 100:[1, 99], Operations: ['77-42=35', '64+35=99']
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[42, 1, 64, 77], Operations: []
Exploring Operation: 77-42=35, Resulting Numbers: [1, 64, 35]
Generated Node #0,1: 100:[1, 64, 35] Operation: 77-42=35
Moving to Node #0,1
Current State: 100:[1, 64, 35], Operations: ['77-42=35']
Exploring Operation: 64+35=99, Resulting Numbers: [1, 99]
Generated Node #0,1,2: 100:[1, 99] Operation: 64+35=99
Moving to Node #0,1,2
Current State: 100:[1, 99], Operations: ['77-42=35', '64+35=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
[
44,
9,
47,
84
] | 96 | [
"44-9=35",
"47+84=131",
"131-35=96"
] | Current State: 96:[44, 9, 47, 84], Operations: []
Exploring Operation: 44-9=35, Resulting Numbers: [47, 84, 35]
Generated Node #2: [47, 84, 35] from Operation: 44-9=35
Current State: 96:[47, 84, 35], Operations: ['44-9=35']
Exploring Operation: 47+84=131, Resulting Numbers: [35, 131]
Generated Node #3: [35, 131] from Operation: 47+84=131
Current State: 96:[35, 131], Operations: ['44-9=35', '47+84=131']
Exploring Operation: 131-35=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[44, 9, 47, 84], Operations: []
Exploring Operation: 9+84=93, Resulting Numbers: [44, 47, 93]
Generated Node #0,0: 96:[44, 47, 93] Operation: 9+84=93
Moving to Node #0,0
Current State: 96:[44, 47, 93], Operations: ['9+84=93']
Exploring Operation: 93-44=49, Resulting Numbers: [47, 49]
Generated Node #0,0,0: 96:[47, 49] Operation: 93-44=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[47, 49], Operations: ['9+84=93', '93-44=49']
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[44, 9, 47, 84], Operations: []
Exploring Operation: 9+84=93, Resulting Numbers: [44, 47, 93]
Generated Node #0,0: 96:[44, 47, 93] Operation: 9+84=93
Moving to Node #0,0
Current State: 96:[44, 47, 93], Operations: ['9+84=93']
Exploring Operation: 93-44=49, Resulting Numbers: [47, 49]
Generated Node #0,0,0: 96:[47, 49] Operation: 93-44=49
Moving to Node #0,0,0
Current State: 96:[47, 49], Operations: ['9+84=93', '93-44=49']
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
29,
83,
70,
75
] | 49 | [
"83-29=54",
"75-70=5",
"54-5=49"
] | Current State: 49:[29, 83, 70, 75], Operations: []
Exploring Operation: 83-29=54, Resulting Numbers: [70, 75, 54]
Generated Node #2: [70, 75, 54] from Operation: 83-29=54
Current State: 49:[70, 75, 54], Operations: ['83-29=54']
Exploring Operation: 75-70=5, Resulting Numbers: [54, 5]
Generated Node #3: [54, 5] from Operation: 75-70=5
Current State: 49:[54, 5], Operations: ['83-29=54', '75-70=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[29, 83, 70, 75], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [29, 70, 8]
Generated Node #0,0: 49:[29, 70, 8] Operation: 83-75=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[29, 70, 8], Operations: ['83-75=8']
Exploring Operation: 70-29=41, Resulting Numbers: [8, 41]
Generated Node #0,0,0: 49:[8, 41] Operation: 70-29=41
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[8, 41], Operations: ['83-75=8', '70-29=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[29, 83, 70, 75], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [29, 70, 8]
Generated Node #0,0: 49:[29, 70, 8] Operation: 83-75=8
Moving to Node #0,0
Current State: 49:[29, 70, 8], Operations: ['83-75=8']
Exploring Operation: 70-29=41, Resulting Numbers: [8, 41]
Generated Node #0,0,0: 49:[8, 41] Operation: 70-29=41
Moving to Node #0,0,0
Current State: 49:[8, 41], Operations: ['83-75=8', '70-29=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
24,
70,
12,
61
] | 79 | [
"24*70=1680",
"1680/12=140",
"140-61=79"
] | Current State: 79:[24, 70, 12, 61], Operations: []
Exploring Operation: 24*70=1680, Resulting Numbers: [12, 61, 1680]
Generated Node #2: [12, 61, 1680] from Operation: 24*70=1680
Current State: 79:[12, 61, 1680], Operations: ['24*70=1680']
Exploring Operation: 1680/12=140, Resulting Numbers: [61, 140]
Generated Node #3: [61, 140] from Operation: 1680/12=140
Current State: 79:[61, 140], Operations: ['24*70=1680', '1680/12=140']
Exploring Operation: 140-61=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[24, 70, 12, 61], Operations: []
Exploring Operation: 70+12=82, Resulting Numbers: [24, 61, 82]
Generated Node #0,0: 79:[24, 61, 82] Operation: 70+12=82
Exploring Operation: 24+12=36, Resulting Numbers: [70, 61, 36]
Generated Node #0,1: 79:[70, 61, 36] Operation: 24+12=36
Exploring Operation: 12+61=73, Resulting Numbers: [24, 70, 73]
Generated Node #0,2: 79:[24, 70, 73] Operation: 12+61=73
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[70, 61, 36], Operations: ['24+12=36']
Exploring Operation: 70+36=106, Resulting Numbers: [61, 106]
Generated Node #0,1,0: 79:[61, 106] Operation: 70+36=106
Exploring Operation: 70-36=34, Resulting Numbers: [61, 34]
Generated Node #0,1,1: 79:[61, 34] Operation: 70-36=34
Exploring Operation: 61+36=97, Resulting Numbers: [70, 97]
Generated Node #0,1,2: 79:[70, 97] Operation: 61+36=97
Moving to Node #0,1,2
Current State: 79:[70, 97], Operations: ['24+12=36', '61+36=97']
Exploring Operation: 97-70=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 70*97=6790, Resulting Numbers: [6790]
6790,79 unequal: No Solution
Exploring Operation: 70+97=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[61, 106], Operations: ['24+12=36', '70+36=106']
Exploring Operation: 61+106=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Exploring Operation: 61*106=6466, Resulting Numbers: [6466]
6466,79 unequal: No Solution
Exploring Operation: 106-61=45, Resulting Numbers: [45]
45,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[61, 34], Operations: ['24+12=36', '70-36=34']
Exploring Operation: 61+34=95, Resulting Numbers: [95]
95,79 unequal: No Solution
Exploring Operation: 61*34=2074, Resulting Numbers: [2074]
2074,79 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[24, 70, 73], Operations: ['12+61=73']
Exploring Operation: 24+70=94, Resulting Numbers: [73, 94]
Generated Node #0,2,0: 79:[73, 94] Operation: 24+70=94
Exploring Operation: 24+73=97, Resulting Numbers: [70, 97]
Generated Node #0,2,1: 79:[70, 97] Operation: 24+73=97
Exploring Operation: 70-24=46, Resulting Numbers: [73, 46]
Generated Node #0,2,2: 79:[73, 46] Operation: 70-24=46
Moving to Node #0,2,0
Current State: 79:[73, 94], Operations: ['12+61=73', '24+70=94']
Exploring Operation: 73*94=6862, Resulting Numbers: [6862]
6862,79 unequal: No Solution
Exploring Operation: 94-73=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Exploring Operation: 73+94=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[70, 97], Operations: ['12+61=73', '24+73=97']
Exploring Operation: 70+97=167, Resulting Numbers: [167]
167,79 unequal: No Solution
Exploring Operation: 97-70=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 70*97=6790, Resulting Numbers: [6790]
6790,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[73, 46], Operations: ['12+61=73', '70-24=46']
Exploring Operation: 73-46=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 73*46=3358, Resulting Numbers: [3358]
3358,79 unequal: No Solution
Exploring Operation: 73+46=119, Resulting Numbers: [119]
119,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[24, 61, 82], Operations: ['70+12=82']
Exploring Operation: 24+61=85, Resulting Numbers: [82, 85]
Generated Node #0,0,0: 79:[82, 85] Operation: 24+61=85
Exploring Operation: 61-24=37, Resulting Numbers: [82, 37]
Generated Node #0,0,1: 79:[82, 37] Operation: 61-24=37
Exploring Operation: 82-24=58, Resulting Numbers: [61, 58]
Generated Node #0,0,2: 79:[61, 58] Operation: 82-24=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[82, 85], Operations: ['70+12=82', '24+61=85']
Exploring Operation: 82*85=6970, Resulting Numbers: [6970]
6970,79 unequal: No Solution
Exploring Operation: 85-82=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 82+85=167, Resulting Numbers: [167]
167,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 79:[61, 58], Operations: ['70+12=82', '82-24=58']
Exploring Operation: 61*58=3538, Resulting Numbers: [3538]
3538,79 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[82, 37], Operations: ['70+12=82', '61-24=37']
Exploring Operation: 82+37=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 82*37=3034, Resulting Numbers: [3034]
3034,79 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
3,
51,
42,
73
] | 48 | [
"51/3=17",
"73-42=31",
"17+31=48"
] | Current State: 48:[3, 51, 42, 73], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [42, 73, 17]
Generated Node #2: [42, 73, 17] from Operation: 51/3=17
Current State: 48:[42, 73, 17], Operations: ['51/3=17']
Exploring Operation: 73-42=31, Resulting Numbers: [17, 31]
Generated Node #3: [17, 31] from Operation: 73-42=31
Current State: 48:[17, 31], Operations: ['51/3=17', '73-42=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[3, 51, 42, 73], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [3, 42, 22]
Generated Node #0,0: 48:[3, 42, 22] Operation: 73-51=22
Moving to Node #0,0
Current State: 48:[3, 42, 22], Operations: ['73-51=22']
Exploring Operation: 42/3=14, Resulting Numbers: [22, 14]
Generated Node #0,0,0: 48:[22, 14] Operation: 42/3=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[22, 14], Operations: ['73-51=22', '42/3=14']
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,48 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 |
[
29,
87,
78,
73
] | 47 | [
"87/29=3",
"78/3=26",
"73-26=47"
] | Current State: 47:[29, 87, 78, 73], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [78, 73, 3]
Generated Node #2: [78, 73, 3] from Operation: 87/29=3
Current State: 47:[78, 73, 3], Operations: ['87/29=3']
Exploring Operation: 78/3=26, Resulting Numbers: [73, 26]
Generated Node #3: [73, 26] from Operation: 78/3=26
Current State: 47:[73, 26], Operations: ['87/29=3', '78/3=26']
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[29, 87, 78, 73], Operations: []
Exploring Operation: 73-29=44, Resulting Numbers: [87, 78, 44]
Generated Node #0,0: 47:[87, 78, 44] Operation: 73-29=44
Exploring Operation: 87-29=58, Resulting Numbers: [78, 73, 58]
Generated Node #0,1: 47:[78, 73, 58] Operation: 87-29=58
Exploring Operation: 78-29=49, Resulting Numbers: [87, 73, 49]
Generated Node #0,2: 47:[87, 73, 49] Operation: 78-29=49
Exploring Operation: 87-78=9, Resulting Numbers: [29, 73, 9]
Generated Node #0,3: 47:[29, 73, 9] Operation: 87-78=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[78, 73, 58], Operations: ['87-29=58']
Exploring Operation: 78-73=5, Resulting Numbers: [58, 5]
Generated Node #0,1,0: 47:[58, 5] Operation: 78-73=5
Exploring Operation: 73-58=15, Resulting Numbers: [78, 15]
Generated Node #0,1,1: 47:[78, 15] Operation: 73-58=15
Exploring Operation: 78+73=151, Resulting Numbers: [58, 151]
Generated Node #0,1,2: 47:[58, 151] Operation: 78+73=151
Exploring Operation: 78-58=20, Resulting Numbers: [73, 20]
Generated Node #0,1,3: 47:[73, 20] Operation: 78-58=20
Moving to Node #0,1,0
Current State: 47:[58, 5], Operations: ['87-29=58', '78-73=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 58*5=290, Resulting Numbers: [290]
290,47 unequal: No Solution
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[73, 20], Operations: ['87-29=58', '78-58=20']
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 73*20=1460, Resulting Numbers: [1460]
1460,47 unequal: No Solution
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[78, 15], Operations: ['87-29=58', '73-58=15']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 78+15=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 78*15=1170, Resulting Numbers: [1170]
1170,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[58, 151], Operations: ['87-29=58', '78+73=151']
Exploring Operation: 151-58=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 58*151=8758, Resulting Numbers: [8758]
8758,47 unequal: No Solution
Exploring Operation: 58+151=209, Resulting Numbers: [209]
209,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[87, 73, 49], Operations: ['78-29=49']
Exploring Operation: 87+73=160, Resulting Numbers: [49, 160]
Generated Node #0,2,0: 47:[49, 160] Operation: 87+73=160
Exploring Operation: 73-49=24, Resulting Numbers: [87, 24]
Generated Node #0,2,1: 47:[87, 24] Operation: 73-49=24
Exploring Operation: 87-49=38, Resulting Numbers: [73, 38]
Generated Node #0,2,2: 47:[73, 38] Operation: 87-49=38
Exploring Operation: 87-73=14, Resulting Numbers: [49, 14]
Generated Node #0,2,3: 47:[49, 14] Operation: 87-73=14
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[73, 38], Operations: ['78-29=49', '87-49=38']
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,47 unequal: No Solution
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,47 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 #0,2,3
Current State: 47:[49, 14], Operations: ['78-29=49', '87-73=14']
Exploring Operation: 49+14=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 49*14=686, Resulting Numbers: [686]
686,47 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 #0,2,1
Current State: 47:[87, 24], Operations: ['78-29=49', '73-49=24']
Exploring Operation: 87+24=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 87*24=2088, Resulting Numbers: [2088]
2088,47 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,47 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 #0,2,0
Current State: 47:[49, 160], Operations: ['78-29=49', '87+73=160']
Exploring Operation: 49+160=209, Resulting Numbers: [209]
209,47 unequal: No Solution
Exploring Operation: 49*160=7840, Resulting Numbers: [7840]
7840,47 unequal: No Solution
Exploring Operation: 160-49=111, Resulting Numbers: [111]
111,47 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 #0,0
Current State: 47:[87, 78, 44], Operations: ['73-29=44']
Exploring Operation: 87-44=43, Resulting Numbers: [78, 43]
Generated Node #0,0,0: 47:[78, 43] Operation: 87-44=43
Exploring Operation: 87+44=131, Resulting Numbers: [78, 131]
Generated Node #0,0,1: 47:[78, 131] Operation: 87+44=131
Exploring Operation: 87-78=9, Resulting Numbers: [44, 9]
Generated Node #0,0,2: 47:[44, 9] Operation: 87-78=9
Exploring Operation: 78-44=34, Resulting Numbers: [87, 34]
Generated Node #0,0,3: 47:[87, 34] Operation: 78-44=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[78, 43], Operations: ['73-29=44', '87-44=43']
Exploring Operation: 78*43=3354, Resulting Numbers: [3354]
3354,47 unequal: No Solution
Exploring Operation: 78+43=121, Resulting Numbers: [121]
121,47 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,47 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:[44, 9], Operations: ['73-29=44', '87-78=9']
Exploring Operation: 44*9=396, Resulting Numbers: [396]
396,47 unequal: No Solution
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,47 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 #0,0,3
Current State: 47:[87, 34], Operations: ['73-29=44', '78-44=34']
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 87+34=121, Resulting Numbers: [121]
121,47 unequal: No Solution
Exploring Operation: 87*34=2958, Resulting Numbers: [2958]
2958,47 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:[78, 131], Operations: ['73-29=44', '87+44=131']
Exploring Operation: 78+131=209, Resulting Numbers: [209]
209,47 unequal: No Solution
Exploring Operation: 78*131=10218, Resulting Numbers: [10218]
10218,47 unequal: No Solution
Exploring Operation: 131-78=53, Resulting Numbers: [53]
53,47 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 #0,3
Current State: 47:[29, 73, 9], Operations: ['87-78=9']
Exploring Operation: 73-9=64, Resulting Numbers: [29, 64]
Generated Node #0,3,0: 47:[29, 64] Operation: 73-9=64
Exploring Operation: 73-29=44, Resulting Numbers: [9, 44]
Generated Node #0,3,1: 47:[9, 44] Operation: 73-29=44
Exploring Operation: 29-9=20, Resulting Numbers: [73, 20]
Generated Node #0,3,2: 47:[73, 20] Operation: 29-9=20
Exploring Operation: 29+9=38, Resulting Numbers: [73, 38]
Generated Node #0,3,3: 47:[73, 38] Operation: 29+9=38
Moving to Node #0,3,0
Current State: 47:[29, 64], Operations: ['87-78=9', '73-9=64']
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 29*64=1856, Resulting Numbers: [1856]
1856,47 unequal: No Solution
Exploring Operation: 29+64=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[73, 38], Operations: ['87-78=9', '29+9=38']
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,47 unequal: No Solution
Moving to Node #0,3,1
Current State: 47:[9, 44], Operations: ['87-78=9', '73-29=44']
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,47 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[73, 20], Operations: ['87-78=9', '29-9=20']
Exploring Operation: 73*20=1460, Resulting Numbers: [1460]
1460,47 unequal: No Solution
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
7,
60,
11,
84
] | 12 | [
"7*84=588",
"60-11=49",
"588/49=12"
] | Current State: 12:[7, 60, 11, 84], Operations: []
Exploring Operation: 7*84=588, Resulting Numbers: [60, 11, 588]
Generated Node #2: [60, 11, 588] from Operation: 7*84=588
Current State: 12:[60, 11, 588], Operations: ['7*84=588']
Exploring Operation: 60-11=49, Resulting Numbers: [588, 49]
Generated Node #3: [588, 49] from Operation: 60-11=49
Current State: 12:[588, 49], Operations: ['7*84=588', '60-11=49']
Exploring Operation: 588/49=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[7, 60, 11, 84], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [7, 11, 24]
Generated Node #0,0: 12:[7, 11, 24] Operation: 84-60=24
Exploring Operation: 84/7=12, Resulting Numbers: [60, 11, 12]
Generated Node #0,1: 12:[60, 11, 12] Operation: 84/7=12
Exploring Operation: 60-11=49, Resulting Numbers: [7, 84, 49]
Generated Node #0,2: 12:[7, 84, 49] Operation: 60-11=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[7, 11, 24], Operations: ['84-60=24']
Exploring Operation: 24-7=17, Resulting Numbers: [11, 17]
Generated Node #0,0,0: 12:[11, 17] Operation: 24-7=17
Exploring Operation: 11-7=4, Resulting Numbers: [24, 4]
Generated Node #0,0,1: 12:[24, 4] Operation: 11-7=4
Exploring Operation: 24-11=13, Resulting Numbers: [7, 13]
Generated Node #0,0,2: 12:[7, 13] Operation: 24-11=13
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 12:[7, 13], Operations: ['84-60=24', '24-11=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,12 unequal: No Solution
No 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: 12:[11, 17], Operations: ['84-60=24', '24-7=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,12 unequal: No Solution
No 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: 12:[24, 4], Operations: ['84-60=24', '11-7=4']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,12 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: 12:[60, 11, 12], Operations: ['84/7=12']
Exploring Operation: 60-12=48, Resulting Numbers: [11, 48]
Generated Node #0,1,0: 12:[11, 48] Operation: 60-12=48
Exploring Operation: 60/12=5, Resulting Numbers: [11, 5]
Generated Node #0,1,1: 12:[11, 5] Operation: 60/12=5
Exploring Operation: 60-11=49, Resulting Numbers: [12, 49]
Generated Node #0,1,2: 12:[12, 49] Operation: 60-11=49
Moving to Node #0,1,1
Current State: 12:[11, 5], Operations: ['84/7=12', '60/12=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[11, 48], Operations: ['84/7=12', '60-12=48']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,12 unequal: No Solution
Exploring Operation: 11*48=528, Resulting Numbers: [528]
528,12 unequal: No Solution
Exploring Operation: 11+48=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[12, 49], Operations: ['84/7=12', '60-11=49']
Exploring Operation: 12+49=61, Resulting Numbers: [61]
61,12 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,12 unequal: No Solution
Exploring Operation: 12*49=588, Resulting Numbers: [588]
588,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[7, 84, 49], Operations: ['60-11=49']
Exploring Operation: 84/7=12, Resulting Numbers: [49, 12]
Generated Node #0,2,0: 12:[49, 12] Operation: 84/7=12
Exploring Operation: 84-49=35, Resulting Numbers: [7, 35]
Generated Node #0,2,1: 12:[7, 35] Operation: 84-49=35
Exploring Operation: 49/7=7, Resulting Numbers: [84, 7]
Generated Node #0,2,2: 12:[84, 7] Operation: 49/7=7
Moving to Node #0,2,1
Current State: 12:[7, 35], Operations: ['60-11=49', '84-49=35']
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 7+35=42, Resulting Numbers: [42]
42,12 unequal: No Solution
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[49, 12], Operations: ['60-11=49', '84/7=12']
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,12 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,12 unequal: No Solution
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[84, 7], Operations: ['60-11=49', '49/7=7']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,12 unequal: No Solution
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[7, 60, 11, 84], Operations: []
Exploring Operation: 60-11=49, Resulting Numbers: [7, 84, 49]
Generated Node #0,2: 12:[7, 84, 49] Operation: 60-11=49
Moving to Node #0,2
Current State: 12:[7, 84, 49], Operations: ['60-11=49']
Exploring Operation: 49/7=7, Resulting Numbers: [84, 7]
Generated Node #0,2,2: 12:[84, 7] Operation: 49/7=7
Moving to Node #0,2,2
Current State: 12:[84, 7], Operations: ['60-11=49', '49/7=7']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_3 | mult_heuristic |
[
37,
78,
43,
48
] | 11 | [
"48-37=11",
"78+43=121",
"121/11=11"
] | Current State: 11:[37, 78, 43, 48], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [78, 43, 11]
Generated Node #2: [78, 43, 11] from Operation: 48-37=11
Current State: 11:[78, 43, 11], Operations: ['48-37=11']
Exploring Operation: 78+43=121, Resulting Numbers: [11, 121]
Generated Node #3: [11, 121] from Operation: 78+43=121
Current State: 11:[11, 121], Operations: ['48-37=11', '78+43=121']
Exploring Operation: 121/11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[37, 78, 43, 48], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [37, 48, 35]
Generated Node #0,0: 11:[37, 48, 35] Operation: 78-43=35
Exploring Operation: 78-48=30, Resulting Numbers: [37, 43, 30]
Generated Node #0,1: 11:[37, 43, 30] Operation: 78-48=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[37, 43, 30], Operations: ['78-48=30']
Exploring Operation: 43-30=13, Resulting Numbers: [37, 13]
Generated Node #0,1,0: 11:[37, 13] Operation: 43-30=13
Exploring Operation: 43-37=6, Resulting Numbers: [30, 6]
Generated Node #0,1,1: 11:[30, 6] Operation: 43-37=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[30, 6], Operations: ['78-48=30', '43-37=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,11 unequal: No Solution
No 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: 11:[37, 13], Operations: ['78-48=30', '43-30=13']
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,11 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: 11:[37, 48, 35], Operations: ['78-43=35']
Exploring Operation: 48-35=13, Resulting Numbers: [37, 13]
Generated Node #0,0,0: 11:[37, 13] Operation: 48-35=13
Exploring Operation: 48-37=11, Resulting Numbers: [35, 11]
Generated Node #0,0,1: 11:[35, 11] Operation: 48-37=11
Moving to Node #0,0,1
Current State: 11:[35, 11], Operations: ['78-43=35', '48-37=11']
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[37, 13], Operations: ['78-43=35', '48-35=13']
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,11 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 |
[
4,
22,
62,
40
] | 43 | [
"4+62=66",
"66/22=3",
"40+3=43"
] | Current State: 43:[4, 22, 62, 40], Operations: []
Exploring Operation: 4+62=66, Resulting Numbers: [22, 40, 66]
Generated Node #2: [22, 40, 66] from Operation: 4+62=66
Current State: 43:[22, 40, 66], Operations: ['4+62=66']
Exploring Operation: 66/22=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 66/22=3
Current State: 43:[40, 3], Operations: ['4+62=66', '66/22=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[4, 22, 62, 40], Operations: []
Exploring Operation: 4+22=26, Resulting Numbers: [62, 40, 26]
Generated Node #0,0: 43:[62, 40, 26] Operation: 4+22=26
Exploring Operation: 62-4=58, Resulting Numbers: [22, 40, 58]
Generated Node #0,1: 43:[22, 40, 58] Operation: 62-4=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[62, 40, 26], Operations: ['4+22=26']
Exploring Operation: 62-26=36, Resulting Numbers: [40, 36]
Generated Node #0,0,0: 43:[40, 36] Operation: 62-26=36
Exploring Operation: 62-40=22, Resulting Numbers: [26, 22]
Generated Node #0,0,1: 43:[26, 22] Operation: 62-40=22
Moving to Node #0,0,0
Current State: 43:[40, 36], Operations: ['4+22=26', '62-26=36']
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[26, 22], Operations: ['4+22=26', '62-40=22']
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Exploring Operation: 26-22=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 #0,1
Current State: 43:[22, 40, 58], Operations: ['62-4=58']
Exploring Operation: 22+40=62, Resulting Numbers: [58, 62]
Generated Node #0,1,0: 43:[58, 62] Operation: 22+40=62
Exploring Operation: 58-22=36, Resulting Numbers: [40, 36]
Generated Node #0,1,1: 43:[40, 36] Operation: 58-22=36
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 43:[40, 36], Operations: ['62-4=58', '58-22=36']
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,43 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:[58, 62], Operations: ['62-4=58', '22+40=62']
Exploring Operation: 62-58=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 58+62=120, Resulting Numbers: [120]
120,43 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 | mult_heuristic |
[
76,
83,
8,
93
] | 53 | [
"93-76=17",
"8*17=136",
"136-83=53"
] | Current State: 53:[76, 83, 8, 93], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [83, 8, 17]
Generated Node #2: [83, 8, 17] from Operation: 93-76=17
Current State: 53:[83, 8, 17], Operations: ['93-76=17']
Exploring Operation: 8*17=136, Resulting Numbers: [83, 136]
Generated Node #3: [83, 136] from Operation: 8*17=136
Current State: 53:[83, 136], Operations: ['93-76=17', '8*17=136']
Exploring Operation: 136-83=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[76, 83, 8, 93], Operations: []
Exploring Operation: 93-8=85, Resulting Numbers: [76, 83, 85]
Generated Node #0,0: 53:[76, 83, 85] Operation: 93-8=85
Exploring Operation: 83-8=75, Resulting Numbers: [76, 93, 75]
Generated Node #0,1: 53:[76, 93, 75] Operation: 83-8=75
Exploring Operation: 76-8=68, Resulting Numbers: [83, 93, 68]
Generated Node #0,2: 53:[83, 93, 68] Operation: 76-8=68
Moving to Node #0,0
Current State: 53:[76, 83, 85], Operations: ['93-8=85']
Exploring Operation: 83-76=7, Resulting Numbers: [85, 7]
Generated Node #0,0,0: 53:[85, 7] Operation: 83-76=7
Exploring Operation: 85-76=9, Resulting Numbers: [83, 9]
Generated Node #0,0,1: 53:[83, 9] Operation: 85-76=9
Exploring Operation: 85-83=2, Resulting Numbers: [76, 2]
Generated Node #0,0,2: 53:[76, 2] Operation: 85-83=2
Moving to Node #0,1
Current State: 53:[76, 93, 75], Operations: ['83-8=75']
Exploring Operation: 93-75=18, Resulting Numbers: [76, 18]
Generated Node #0,1,0: 53:[76, 18] Operation: 93-75=18
Exploring Operation: 76-75=1, Resulting Numbers: [93, 1]
Generated Node #0,1,1: 53:[93, 1] Operation: 76-75=1
Exploring Operation: 93-76=17, Resulting Numbers: [75, 17]
Generated Node #0,1,2: 53:[75, 17] Operation: 93-76=17
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[76, 18], Operations: ['83-8=75', '93-75=18']
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,53 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[75, 17], Operations: ['83-8=75', '93-76=17']
Exploring Operation: 75*17=1275, Resulting Numbers: [1275]
1275,53 unequal: No Solution
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 75+17=92, Resulting Numbers: [92]
92,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[93, 1], Operations: ['83-8=75', '76-75=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,53 unequal: No Solution
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 53:[83, 93, 68], Operations: ['76-8=68']
Exploring Operation: 93-83=10, Resulting Numbers: [68, 10]
Generated Node #0,2,0: 53:[68, 10] Operation: 93-83=10
Exploring Operation: 83-68=15, Resulting Numbers: [93, 15]
Generated Node #0,2,1: 53:[93, 15] Operation: 83-68=15
Exploring Operation: 93-68=25, Resulting Numbers: [83, 25]
Generated Node #0,2,2: 53:[83, 25] Operation: 93-68=25
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[68, 10], Operations: ['76-8=68', '93-83=10']
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,53 unequal: No Solution
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[83, 25], Operations: ['76-8=68', '93-68=25']
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 83*25=2075, Resulting Numbers: [2075]
2075,53 unequal: No Solution
Exploring Operation: 83+25=108, Resulting Numbers: [108]
108,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[93, 15], Operations: ['76-8=68', '83-68=15']
Exploring Operation: 93+15=108, Resulting Numbers: [108]
108,53 unequal: No Solution
Exploring Operation: 93-15=78, Resulting Numbers: [78]
78,53 unequal: No Solution
Exploring Operation: 93*15=1395, Resulting Numbers: [1395]
1395,53 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: 53:[83, 9], Operations: ['93-8=85', '85-76=9']
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Exploring Operation: 83*9=747, Resulting Numbers: [747]
747,53 unequal: No Solution
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[76, 2], Operations: ['93-8=85', '85-83=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,53 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,53 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[85, 7], Operations: ['93-8=85', '83-76=7']
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,53 unequal: No Solution
Exploring Operation: 85+7=92, Resulting Numbers: [92]
92,53 unequal: No Solution
Exploring Operation: 85*7=595, Resulting Numbers: [595]
595,53 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
73,
50,
52,
79
] | 76 | [
"73+79=152",
"52-50=2",
"152/2=76"
] | Current State: 76:[73, 50, 52, 79], Operations: []
Exploring Operation: 73+79=152, Resulting Numbers: [50, 52, 152]
Generated Node #2: [50, 52, 152] from Operation: 73+79=152
Current State: 76:[50, 52, 152], Operations: ['73+79=152']
Exploring Operation: 52-50=2, Resulting Numbers: [152, 2]
Generated Node #3: [152, 2] from Operation: 52-50=2
Current State: 76:[152, 2], Operations: ['73+79=152', '52-50=2']
Exploring Operation: 152/2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[73, 50, 52, 79], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [73, 79, 2]
Generated Node #0,0: 76:[73, 79, 2] Operation: 52-50=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[73, 79, 2], Operations: ['52-50=2']
Exploring Operation: 79-73=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 76:[2, 6] Operation: 79-73=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[2, 6], Operations: ['52-50=2', '79-73=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,76 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 |
[
7,
77,
95,
54
] | 43 | [
"7+77=84",
"95-54=41",
"84-41=43"
] | Current State: 43:[7, 77, 95, 54], Operations: []
Exploring Operation: 7+77=84, Resulting Numbers: [95, 54, 84]
Generated Node #2: [95, 54, 84] from Operation: 7+77=84
Current State: 43:[95, 54, 84], Operations: ['7+77=84']
Exploring Operation: 95-54=41, Resulting Numbers: [84, 41]
Generated Node #3: [84, 41] from Operation: 95-54=41
Current State: 43:[84, 41], Operations: ['7+77=84', '95-54=41']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[7, 77, 95, 54], Operations: []
Exploring Operation: 54-7=47, Resulting Numbers: [77, 95, 47]
Generated Node #0,0: 43:[77, 95, 47] Operation: 54-7=47
Exploring Operation: 77-7=70, Resulting Numbers: [95, 54, 70]
Generated Node #0,1: 43:[95, 54, 70] Operation: 77-7=70
Exploring Operation: 95-54=41, Resulting Numbers: [7, 77, 41]
Generated Node #0,2: 43:[7, 77, 41] Operation: 95-54=41
Exploring Operation: 95-77=18, Resulting Numbers: [7, 54, 18]
Generated Node #0,3: 43:[7, 54, 18] Operation: 95-77=18
Exploring Operation: 95-7=88, Resulting Numbers: [77, 54, 88]
Generated Node #0,4: 43:[77, 54, 88] Operation: 95-7=88
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[7, 77, 41], Operations: ['95-54=41']
Exploring Operation: 77-7=70, Resulting Numbers: [41, 70]
Generated Node #0,2,0: 43:[41, 70] Operation: 77-7=70
Exploring Operation: 41-7=34, Resulting Numbers: [77, 34]
Generated Node #0,2,1: 43:[77, 34] Operation: 41-7=34
Exploring Operation: 77/7=11, Resulting Numbers: [41, 11]
Generated Node #0,2,2: 43:[41, 11] Operation: 77/7=11
Exploring Operation: 7+41=48, Resulting Numbers: [77, 48]
Generated Node #0,2,3: 43:[77, 48] Operation: 7+41=48
Exploring Operation: 7+77=84, Resulting Numbers: [41, 84]
Generated Node #0,2,4: 43:[41, 84] Operation: 7+77=84
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 43:[41, 70], Operations: ['95-54=41', '77-7=70']
Exploring Operation: 41*70=2870, Resulting Numbers: [2870]
2870,43 unequal: No Solution
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Exploring Operation: 41+70=111, Resulting Numbers: [111]
111,43 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 #0,2,2
Current State: 43:[41, 11], Operations: ['95-54=41', '77/7=11']
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,43 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,43 unequal: No Solution
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,43 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 #0,2,3
Current State: 43:[77, 48], Operations: ['95-54=41', '7+41=48']
Exploring Operation: 77*48=3696, Resulting Numbers: [3696]
3696,43 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,43 unequal: No Solution
Exploring Operation: 77+48=125, Resulting Numbers: [125]
125,43 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 #0,2,1
Current State: 43:[77, 34], Operations: ['95-54=41', '41-7=34']
Exploring Operation: 77*34=2618, Resulting Numbers: [2618]
2618,43 unequal: No Solution
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[7, 77, 95, 54], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [7, 77, 41]
Generated Node #0,2: 43:[7, 77, 41] Operation: 95-54=41
Moving to Node #0,2
Current State: 43:[7, 77, 41], Operations: ['95-54=41']
Exploring Operation: 41-7=34, Resulting Numbers: [77, 34]
Generated Node #0,2,1: 43:[77, 34] Operation: 41-7=34
Moving to Node #0,2,1
Current State: 43:[77, 34], Operations: ['95-54=41', '41-7=34']
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
77,
64,
86,
83
] | 10 | [
"77-64=13",
"86-83=3",
"13-3=10"
] | Current State: 10:[77, 64, 86, 83], Operations: []
Exploring Operation: 77-64=13, Resulting Numbers: [86, 83, 13]
Generated Node #2: [86, 83, 13] from Operation: 77-64=13
Current State: 10:[86, 83, 13], Operations: ['77-64=13']
Exploring Operation: 86-83=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 86-83=3
Current State: 10:[13, 3], Operations: ['77-64=13', '86-83=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[77, 64, 86, 83], Operations: []
Exploring Operation: 77-64=13, Resulting Numbers: [86, 83, 13]
Generated Node #0,0: 10:[86, 83, 13] Operation: 77-64=13
Exploring Operation: 86-64=22, Resulting Numbers: [77, 83, 22]
Generated Node #0,1: 10:[77, 83, 22] Operation: 86-64=22
Exploring Operation: 86-77=9, Resulting Numbers: [64, 83, 9]
Generated Node #0,2: 10:[64, 83, 9] Operation: 86-77=9
Exploring Operation: 83-77=6, Resulting Numbers: [64, 86, 6]
Generated Node #0,3: 10:[64, 86, 6] Operation: 83-77=6
Exploring Operation: 86-83=3, Resulting Numbers: [77, 64, 3]
Generated Node #0,4: 10:[77, 64, 3] Operation: 86-83=3
Moving to Node #0,4
Current State: 10:[77, 64, 3], Operations: ['86-83=3']
Exploring Operation: 64+3=67, Resulting Numbers: [77, 67]
Generated Node #0,4,0: 10:[77, 67] Operation: 64+3=67
Exploring Operation: 77-3=74, Resulting Numbers: [64, 74]
Generated Node #0,4,1: 10:[64, 74] Operation: 77-3=74
Exploring Operation: 64-3=61, Resulting Numbers: [77, 61]
Generated Node #0,4,2: 10:[77, 61] Operation: 64-3=61
Exploring Operation: 77-64=13, Resulting Numbers: [3, 13]
Generated Node #0,4,3: 10:[3, 13] Operation: 77-64=13
Exploring Operation: 77+3=80, Resulting Numbers: [64, 80]
Generated Node #0,4,4: 10:[64, 80] Operation: 77+3=80
Moving to Node #0,2
Current State: 10:[64, 83, 9], Operations: ['86-77=9']
Exploring Operation: 83-64=19, Resulting Numbers: [9, 19]
Generated Node #0,2,0: 10:[9, 19] Operation: 83-64=19
Exploring Operation: 64-9=55, Resulting Numbers: [83, 55]
Generated Node #0,2,1: 10:[83, 55] Operation: 64-9=55
Exploring Operation: 64+9=73, Resulting Numbers: [83, 73]
Generated Node #0,2,2: 10:[83, 73] Operation: 64+9=73
Exploring Operation: 83-9=74, Resulting Numbers: [64, 74]
Generated Node #0,2,3: 10:[64, 74] Operation: 83-9=74
Exploring Operation: 83+9=92, Resulting Numbers: [64, 92]
Generated Node #0,2,4: 10:[64, 92] Operation: 83+9=92
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[9, 19], Operations: ['86-77=9', '83-64=19']
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,10 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[77, 64, 86, 83], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [64, 83, 9]
Generated Node #0,2: 10:[64, 83, 9] Operation: 86-77=9
Moving to Node #0,2
Current State: 10:[64, 83, 9], Operations: ['86-77=9']
Exploring Operation: 83-64=19, Resulting Numbers: [9, 19]
Generated Node #0,2,0: 10:[9, 19] Operation: 83-64=19
Moving to Node #0,2,0
Current State: 10:[9, 19], Operations: ['86-77=9', '83-64=19']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
13,
22,
31,
65
] | 91 | [
"31*65=2015",
"2015-13=2002",
"2002/22=91"
] | Current State: 91:[13, 22, 31, 65], Operations: []
Exploring Operation: 31*65=2015, Resulting Numbers: [13, 22, 2015]
Generated Node #2: [13, 22, 2015] from Operation: 31*65=2015
Current State: 91:[13, 22, 2015], Operations: ['31*65=2015']
Exploring Operation: 2015-13=2002, Resulting Numbers: [22, 2002]
Generated Node #3: [22, 2002] from Operation: 2015-13=2002
Current State: 91:[22, 2002], Operations: ['31*65=2015', '2015-13=2002']
Exploring Operation: 2002/22=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[13, 22, 31, 65], Operations: []
Exploring Operation: 65-31=34, Resulting Numbers: [13, 22, 34]
Generated Node #0,0: 91:[13, 22, 34] Operation: 65-31=34
Exploring Operation: 31-22=9, Resulting Numbers: [13, 65, 9]
Generated Node #0,1: 91:[13, 65, 9] Operation: 31-22=9
Exploring Operation: 31+65=96, Resulting Numbers: [13, 22, 96]
Generated Node #0,2: 91:[13, 22, 96] Operation: 31+65=96
Exploring Operation: 65/13=5, Resulting Numbers: [22, 31, 5]
Generated Node #0,3: 91:[22, 31, 5] Operation: 65/13=5
Exploring Operation: 22+65=87, Resulting Numbers: [13, 31, 87]
Generated Node #0,4: 91:[13, 31, 87] Operation: 22+65=87
Moving to Node #0,2
Current State: 91:[13, 22, 96], Operations: ['31+65=96']
Exploring Operation: 96-13=83, Resulting Numbers: [22, 83]
Generated Node #0,2,0: 91:[22, 83] Operation: 96-13=83
Exploring Operation: 22-13=9, Resulting Numbers: [96, 9]
Generated Node #0,2,1: 91:[96, 9] Operation: 22-13=9
Exploring Operation: 96-22=74, Resulting Numbers: [13, 74]
Generated Node #0,2,2: 91:[13, 74] Operation: 96-22=74
Exploring Operation: 13+96=109, Resulting Numbers: [22, 109]
Generated Node #0,2,3: 91:[22, 109] Operation: 13+96=109
Exploring Operation: 13+22=35, Resulting Numbers: [96, 35]
Generated Node #0,2,4: 91:[96, 35] Operation: 13+22=35
Moving to Node #0,4
Current State: 91:[13, 31, 87], Operations: ['22+65=87']
Exploring Operation: 31-13=18, Resulting Numbers: [87, 18]
Generated Node #0,4,0: 91:[87, 18] Operation: 31-13=18
Exploring Operation: 31+87=118, Resulting Numbers: [13, 118]
Generated Node #0,4,1: 91:[13, 118] Operation: 31+87=118
Exploring Operation: 13+31=44, Resulting Numbers: [87, 44]
Generated Node #0,4,2: 91:[87, 44] Operation: 13+31=44
Exploring Operation: 87-13=74, Resulting Numbers: [31, 74]
Generated Node #0,4,3: 91:[31, 74] Operation: 87-13=74
Exploring Operation: 13+87=100, Resulting Numbers: [31, 100]
Generated Node #0,4,4: 91:[31, 100] Operation: 13+87=100
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 91:[87, 18], Operations: ['22+65=87', '31-13=18']
Exploring Operation: 87*18=1566, Resulting Numbers: [1566]
1566,91 unequal: No Solution
Exploring Operation: 87-18=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 87+18=105, Resulting Numbers: [105]
105,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 91:[13, 118], Operations: ['22+65=87', '31+87=118']
Exploring Operation: 13*118=1534, Resulting Numbers: [1534]
1534,91 unequal: No Solution
Exploring Operation: 13+118=131, Resulting Numbers: [131]
131,91 unequal: No Solution
Exploring Operation: 118-13=105, Resulting Numbers: [105]
105,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 91:[31, 100], Operations: ['22+65=87', '13+87=100']
Exploring Operation: 31*100=3100, Resulting Numbers: [3100]
3100,91 unequal: No Solution
Exploring Operation: 100-31=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 31+100=131, Resulting Numbers: [131]
131,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 91:[87, 44], Operations: ['22+65=87', '13+31=44']
Exploring Operation: 87+44=131, Resulting Numbers: [131]
131,91 unequal: No Solution
Exploring Operation: 87*44=3828, Resulting Numbers: [3828]
3828,91 unequal: No Solution
Exploring Operation: 87-44=43, Resulting Numbers: [43]
43,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 91:[31, 74], Operations: ['22+65=87', '87-13=74']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Exploring Operation: 31+74=105, Resulting Numbers: [105]
105,91 unequal: No Solution
Exploring Operation: 31*74=2294, Resulting Numbers: [2294]
2294,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 91:[13, 65, 9], Operations: ['31-22=9']
Exploring Operation: 65/13=5, Resulting Numbers: [9, 5]
Generated Node #0,1,0: 91:[9, 5] Operation: 65/13=5
Exploring Operation: 65+9=74, Resulting Numbers: [13, 74]
Generated Node #0,1,1: 91:[13, 74] Operation: 65+9=74
Exploring Operation: 13+9=22, Resulting Numbers: [65, 22]
Generated Node #0,1,2: 91:[65, 22] Operation: 13+9=22
Exploring Operation: 13-9=4, Resulting Numbers: [65, 4]
Generated Node #0,1,3: 91:[65, 4] Operation: 13-9=4
Exploring Operation: 13+65=78, Resulting Numbers: [9, 78]
Generated Node #0,1,4: 91:[9, 78] Operation: 13+65=78
Moving to Node #0,3
Current State: 91:[22, 31, 5], Operations: ['65/13=5']
Exploring Operation: 22+5=27, Resulting Numbers: [31, 27]
Generated Node #0,3,0: 91:[31, 27] Operation: 22+5=27
Exploring Operation: 31-5=26, Resulting Numbers: [22, 26]
Generated Node #0,3,1: 91:[22, 26] Operation: 31-5=26
Exploring Operation: 31-22=9, Resulting Numbers: [5, 9]
Generated Node #0,3,2: 91:[5, 9] Operation: 31-22=9
Exploring Operation: 22-5=17, Resulting Numbers: [31, 17]
Generated Node #0,3,3: 91:[31, 17] Operation: 22-5=17
Exploring Operation: 31+5=36, Resulting Numbers: [22, 36]
Generated Node #0,3,4: 91:[22, 36] Operation: 31+5=36
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 91:[5, 9], Operations: ['65/13=5', '31-22=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 91:[22, 26], Operations: ['65/13=5', '31-5=26']
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,91 unequal: No Solution
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 91:[31, 17], Operations: ['65/13=5', '22-5=17']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 31+17=48, Resulting Numbers: [48]
48,91 unequal: No Solution
Exploring Operation: 31*17=527, Resulting Numbers: [527]
527,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 91:[31, 27], Operations: ['65/13=5', '22+5=27']
Exploring Operation: 31*27=837, Resulting Numbers: [837]
837,91 unequal: No Solution
Exploring Operation: 31+27=58, Resulting Numbers: [58]
58,91 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 91:[22, 36], Operations: ['65/13=5', '31+5=36']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 22+36=58, Resulting Numbers: [58]
58,91 unequal: No Solution
Exploring Operation: 22*36=792, Resulting Numbers: [792]
792,91 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: 91:[13, 22, 34], Operations: ['65-31=34']
Exploring Operation: 22+34=56, Resulting Numbers: [13, 56]
Generated Node #0,0,0: 91:[13, 56] Operation: 22+34=56
Exploring Operation: 34-13=21, Resulting Numbers: [22, 21]
Generated Node #0,0,1: 91:[22, 21] Operation: 34-13=21
Exploring Operation: 13+22=35, Resulting Numbers: [34, 35]
Generated Node #0,0,2: 91:[34, 35] Operation: 13+22=35
Exploring Operation: 22-13=9, Resulting Numbers: [34, 9]
Generated Node #0,0,3: 91:[34, 9] Operation: 22-13=9
Exploring Operation: 34-22=12, Resulting Numbers: [13, 12]
Generated Node #0,0,4: 91:[13, 12] Operation: 34-22=12
Moving to Node #0,0,4
Current State: 91:[13, 12], Operations: ['65-31=34', '34-22=12']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[9, 5], Operations: ['31-22=9', '65/13=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[96, 9], Operations: ['31+65=96', '22-13=9']
Exploring Operation: 96+9=105, Resulting Numbers: [105]
105,91 unequal: No Solution
Exploring Operation: 96*9=864, Resulting Numbers: [864]
864,91 unequal: No Solution
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Moving to Node #0,1,4
Current State: 91:[9, 78], Operations: ['31-22=9', '13+65=78']
Exploring Operation: 9*78=702, Resulting Numbers: [702]
702,91 unequal: No Solution
Exploring Operation: 9+78=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[13, 74], Operations: ['31+65=96', '96-22=74']
Exploring Operation: 13+74=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 13*74=962, Resulting Numbers: [962]
962,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[22, 21], Operations: ['65-31=34', '34-13=21']
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,91 unequal: No Solution
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[22, 83], Operations: ['31+65=96', '96-13=83']
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 22+83=105, Resulting Numbers: [105]
105,91 unequal: No Solution
Exploring Operation: 22*83=1826, Resulting Numbers: [1826]
1826,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[13, 74], Operations: ['31-22=9', '65+9=74']
Exploring Operation: 13+74=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 13*74=962, Resulting Numbers: [962]
962,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[34, 9], Operations: ['65-31=34', '22-13=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,91 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Moving to Node #0,2,4
Current State: 91:[96, 35], Operations: ['31+65=96', '13+22=35']
Exploring Operation: 96+35=131, Resulting Numbers: [131]
131,91 unequal: No Solution
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 96*35=3360, Resulting Numbers: [3360]
3360,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[22, 109], Operations: ['31+65=96', '13+96=109']
Exploring Operation: 22*109=2398, Resulting Numbers: [2398]
2398,91 unequal: No Solution
Exploring Operation: 22+109=131, Resulting Numbers: [131]
131,91 unequal: No Solution
Exploring Operation: 109-22=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[65, 4], Operations: ['31-22=9', '13-9=4']
Exploring Operation: 65*4=260, Resulting Numbers: [260]
260,91 unequal: No Solution
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[13, 56], Operations: ['65-31=34', '22+34=56']
Exploring Operation: 13+56=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 13*56=728, Resulting Numbers: [728]
728,91 unequal: No Solution
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[65, 22], Operations: ['31-22=9', '13+9=22']
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[34, 35], Operations: ['65-31=34', '13+22=35']
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,91 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
39,
41,
14,
92
] | 39 | [
"41-39=2",
"92-14=78",
"78/2=39"
] | Current State: 39:[39, 41, 14, 92], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [14, 92, 2]
Generated Node #2: [14, 92, 2] from Operation: 41-39=2
Current State: 39:[14, 92, 2], Operations: ['41-39=2']
Exploring Operation: 92-14=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 92-14=78
Current State: 39:[2, 78], Operations: ['41-39=2', '92-14=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[39, 41, 14, 92], Operations: []
Exploring Operation: 92-39=53, Resulting Numbers: [41, 14, 53]
Generated Node #0,0: 39:[41, 14, 53] Operation: 92-39=53
Exploring Operation: 92-41=51, Resulting Numbers: [39, 14, 51]
Generated Node #0,1: 39:[39, 14, 51] Operation: 92-41=51
Exploring Operation: 92-14=78, Resulting Numbers: [39, 41, 78]
Generated Node #0,2: 39:[39, 41, 78] Operation: 92-14=78
Exploring Operation: 41-39=2, Resulting Numbers: [14, 92, 2]
Generated Node #0,3: 39:[14, 92, 2] Operation: 41-39=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[39, 14, 51], Operations: ['92-41=51']
Exploring Operation: 39+14=53, Resulting Numbers: [51, 53]
Generated Node #0,1,0: 39:[51, 53] Operation: 39+14=53
Exploring Operation: 51-39=12, Resulting Numbers: [14, 12]
Generated Node #0,1,1: 39:[14, 12] Operation: 51-39=12
Exploring Operation: 39-14=25, Resulting Numbers: [51, 25]
Generated Node #0,1,2: 39:[51, 25] Operation: 39-14=25
Exploring Operation: 51-14=37, Resulting Numbers: [39, 37]
Generated Node #0,1,3: 39:[39, 37] Operation: 51-14=37
Moving to Node #0,1,1
Current State: 39:[14, 12], Operations: ['92-41=51', '51-39=12']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[39, 37], Operations: ['92-41=51', '51-14=37']
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 39*37=1443, Resulting Numbers: [1443]
1443,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[51, 25], Operations: ['92-41=51', '39-14=25']
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,39 unequal: No Solution
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[51, 53], Operations: ['92-41=51', '39+14=53']
Exploring Operation: 51+53=104, Resulting Numbers: [104]
104,39 unequal: No Solution
Exploring Operation: 51*53=2703, Resulting Numbers: [2703]
2703,39 unequal: No Solution
Exploring Operation: 53-51=2, Resulting Numbers: [2]
2,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[41, 14, 53], Operations: ['92-39=53']
Exploring Operation: 41+14=55, Resulting Numbers: [53, 55]
Generated Node #0,0,0: 39:[53, 55] Operation: 41+14=55
Exploring Operation: 53-41=12, Resulting Numbers: [14, 12]
Generated Node #0,0,1: 39:[14, 12] Operation: 53-41=12
Exploring Operation: 41-14=27, Resulting Numbers: [53, 27]
Generated Node #0,0,2: 39:[53, 27] Operation: 41-14=27
Exploring Operation: 53-14=39, Resulting Numbers: [41, 39]
Generated Node #0,0,3: 39:[41, 39] Operation: 53-14=39
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[14, 12], Operations: ['92-39=53', '53-41=12']
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,39 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 39:[41, 39], Operations: ['92-39=53', '53-14=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,39 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,39 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 39:[53, 27], Operations: ['92-39=53', '41-14=27']
Exploring Operation: 53*27=1431, Resulting Numbers: [1431]
1431,39 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 53+27=80, Resulting Numbers: [80]
80,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[53, 55], Operations: ['92-39=53', '41+14=55']
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 53*55=2915, Resulting Numbers: [2915]
2915,39 unequal: No Solution
Exploring Operation: 53+55=108, Resulting Numbers: [108]
108,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[39, 41, 78], Operations: ['92-14=78']
Exploring Operation: 78/39=2, Resulting Numbers: [41, 2]
Generated Node #0,2,0: 39:[41, 2] Operation: 78/39=2
Exploring Operation: 78-41=37, Resulting Numbers: [39, 37]
Generated Node #0,2,1: 39:[39, 37] Operation: 78-41=37
Exploring Operation: 78-39=39, Resulting Numbers: [41, 39]
Generated Node #0,2,2: 39:[41, 39] Operation: 78-39=39
Exploring Operation: 41-39=2, Resulting Numbers: [78, 2]
Generated Node #0,2,3: 39:[78, 2] Operation: 41-39=2
Moving to Node #0,2,1
Current State: 39:[39, 37], Operations: ['92-14=78', '78-41=37']
Exploring Operation: 39*37=1443, Resulting Numbers: [1443]
1443,39 unequal: No Solution
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[41, 39], Operations: ['92-14=78', '78-39=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,39 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,39 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Moving to Node #0,2,0
Current State: 39:[41, 2], Operations: ['92-14=78', '78/39=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,39 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[39, 41, 14, 92], Operations: []
Exploring Operation: 92-14=78, Resulting Numbers: [39, 41, 78]
Generated Node #0,2: 39:[39, 41, 78] Operation: 92-14=78
Moving to Node #0,2
Current State: 39:[39, 41, 78], Operations: ['92-14=78']
Exploring Operation: 78/39=2, Resulting Numbers: [41, 2]
Generated Node #0,2,0: 39:[41, 2] Operation: 78/39=2
Moving to Node #0,2,0
Current State: 39:[41, 2], Operations: ['92-14=78', '78/39=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.953993 | hs_4 | sum_heuristic |
[
79,
7,
9,
4
] | 73 | [
"79+7=86",
"9+4=13",
"86-13=73"
] | Current State: 73:[79, 7, 9, 4], Operations: []
Exploring Operation: 79+7=86, Resulting Numbers: [9, 4, 86]
Generated Node #2: [9, 4, 86] from Operation: 79+7=86
Current State: 73:[9, 4, 86], Operations: ['79+7=86']
Exploring Operation: 9+4=13, Resulting Numbers: [86, 13]
Generated Node #3: [86, 13] from Operation: 9+4=13
Current State: 73:[86, 13], Operations: ['79+7=86', '9+4=13']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[79, 7, 9, 4], Operations: []
Exploring Operation: 7*4=28, Resulting Numbers: [79, 9, 28]
Generated Node #0,0: 73:[79, 9, 28] Operation: 7*4=28
Exploring Operation: 9*4=36, Resulting Numbers: [79, 7, 36]
Generated Node #0,1: 73:[79, 7, 36] Operation: 9*4=36
Exploring Operation: 79-4=75, Resulting Numbers: [7, 9, 75]
Generated Node #0,2: 73:[7, 9, 75] Operation: 79-4=75
Exploring Operation: 7*9=63, Resulting Numbers: [79, 4, 63]
Generated Node #0,3: 73:[79, 4, 63] Operation: 7*9=63
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[79, 4, 63], Operations: ['7*9=63']
Exploring Operation: 79-4=75, Resulting Numbers: [63, 75]
Generated Node #0,3,0: 73:[63, 75] Operation: 79-4=75
Exploring Operation: 79+4=83, Resulting Numbers: [63, 83]
Generated Node #0,3,1: 73:[63, 83] Operation: 79+4=83
Exploring Operation: 63-4=59, Resulting Numbers: [79, 59]
Generated Node #0,3,2: 73:[79, 59] Operation: 63-4=59
Exploring Operation: 4+63=67, Resulting Numbers: [79, 67]
Generated Node #0,3,3: 73:[79, 67] Operation: 4+63=67
Moving to Node #0,3,0
Current State: 73:[63, 75], Operations: ['7*9=63', '79-4=75']
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 63+75=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 63*75=4725, Resulting Numbers: [4725]
4725,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[79, 67], Operations: ['7*9=63', '4+63=67']
Exploring Operation: 79+67=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 79*67=5293, Resulting Numbers: [5293]
5293,73 unequal: No Solution
Exploring Operation: 79-67=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[79, 59], Operations: ['7*9=63', '63-4=59']
Exploring Operation: 79-59=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 79*59=4661, Resulting Numbers: [4661]
4661,73 unequal: No Solution
Exploring Operation: 79+59=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[63, 83], Operations: ['7*9=63', '79+4=83']
Exploring Operation: 63+83=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 63*83=5229, Resulting Numbers: [5229]
5229,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[79, 7, 36], Operations: ['9*4=36']
Exploring Operation: 36-7=29, Resulting Numbers: [79, 29]
Generated Node #0,1,0: 73:[79, 29] Operation: 36-7=29
Exploring Operation: 79-7=72, Resulting Numbers: [36, 72]
Generated Node #0,1,1: 73:[36, 72] Operation: 79-7=72
Exploring Operation: 7+36=43, Resulting Numbers: [79, 43]
Generated Node #0,1,2: 73:[79, 43] Operation: 7+36=43
Exploring Operation: 79+7=86, Resulting Numbers: [36, 86]
Generated Node #0,1,3: 73:[36, 86] Operation: 79+7=86
Moving to Node #0,1,2
Current State: 73:[79, 43], Operations: ['9*4=36', '7+36=43']
Exploring Operation: 79-43=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 79+43=122, Resulting Numbers: [122]
122,73 unequal: No Solution
Exploring Operation: 79*43=3397, Resulting Numbers: [3397]
3397,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[36, 72], Operations: ['9*4=36', '79-7=72']
Exploring Operation: 36*72=2592, Resulting Numbers: [2592]
2592,73 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 36+72=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[36, 86], Operations: ['9*4=36', '79+7=86']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Exploring Operation: 36+86=122, Resulting Numbers: [122]
122,73 unequal: No Solution
Exploring Operation: 36*86=3096, Resulting Numbers: [3096]
3096,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[79, 29], Operations: ['9*4=36', '36-7=29']
Exploring Operation: 79+29=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 79-29=50, Resulting Numbers: [50]
50,73 unequal: No Solution
Exploring Operation: 79*29=2291, Resulting Numbers: [2291]
2291,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[79, 9, 28], Operations: ['7*4=28']
Exploring Operation: 28-9=19, Resulting Numbers: [79, 19]
Generated Node #0,0,0: 73:[79, 19] Operation: 28-9=19
Exploring Operation: 79-9=70, Resulting Numbers: [28, 70]
Generated Node #0,0,1: 73:[28, 70] Operation: 79-9=70
Exploring Operation: 9+28=37, Resulting Numbers: [79, 37]
Generated Node #0,0,2: 73:[79, 37] Operation: 9+28=37
Exploring Operation: 79+9=88, Resulting Numbers: [28, 88]
Generated Node #0,0,3: 73:[28, 88] Operation: 79+9=88
Moving to Node #0,0,2
Current State: 73:[79, 37], Operations: ['7*4=28', '9+28=37']
Exploring Operation: 79+37=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Exploring Operation: 79*37=2923, Resulting Numbers: [2923]
2923,73 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[28, 70], Operations: ['7*4=28', '79-9=70']
Exploring Operation: 28*70=1960, Resulting Numbers: [1960]
1960,73 unequal: No Solution
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Exploring Operation: 28+70=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[28, 88], Operations: ['7*4=28', '79+9=88']
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,73 unequal: No Solution
Exploring Operation: 28*88=2464, Resulting Numbers: [2464]
2464,73 unequal: No Solution
Exploring Operation: 28+88=116, Resulting Numbers: [116]
116,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[79, 19], Operations: ['7*4=28', '28-9=19']
Exploring Operation: 79*19=1501, Resulting Numbers: [1501]
1501,73 unequal: No Solution
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,73 unequal: No Solution
Exploring Operation: 79+19=98, Resulting Numbers: [98]
98,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[7, 9, 75], Operations: ['79-4=75']
Exploring Operation: 7+9=16, Resulting Numbers: [75, 16]
Generated Node #0,2,0: 73:[75, 16] Operation: 7+9=16
Exploring Operation: 9-7=2, Resulting Numbers: [75, 2]
Generated Node #0,2,1: 73:[75, 2] Operation: 9-7=2
Exploring Operation: 75-7=68, Resulting Numbers: [9, 68]
Generated Node #0,2,2: 73:[9, 68] Operation: 75-7=68
Exploring Operation: 7*9=63, Resulting Numbers: [75, 63]
Generated Node #0,2,3: 73:[75, 63] Operation: 7*9=63
Moving to Node #0,2,3
Current State: 73:[75, 63], Operations: ['79-4=75', '7*9=63']
Exploring Operation: 75*63=4725, Resulting Numbers: [4725]
4725,73 unequal: No Solution
Exploring Operation: 75+63=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[75, 16], Operations: ['79-4=75', '7+9=16']
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,73 unequal: No Solution
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,73 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[9, 68], Operations: ['79-4=75', '75-7=68']
Exploring Operation: 9+68=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Exploring Operation: 9*68=612, Resulting Numbers: [612]
612,73 unequal: No Solution
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[75, 2], Operations: ['79-4=75', '9-7=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[79, 7, 9, 4], Operations: []
Exploring Operation: 79-4=75, Resulting Numbers: [7, 9, 75]
Generated Node #0,2: 73:[7, 9, 75] Operation: 79-4=75
Moving to Node #0,2
Current State: 73:[7, 9, 75], Operations: ['79-4=75']
Exploring Operation: 9-7=2, Resulting Numbers: [75, 2]
Generated Node #0,2,1: 73:[75, 2] Operation: 9-7=2
Moving to Node #0,2,1
Current State: 73:[75, 2], Operations: ['79-4=75', '9-7=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.9375 | hs_4 | sum_heuristic |
[
49,
15,
75,
85
] | 44 | [
"49-15=34",
"85-75=10",
"34+10=44"
] | Current State: 44:[49, 15, 75, 85], Operations: []
Exploring Operation: 49-15=34, Resulting Numbers: [75, 85, 34]
Generated Node #2: [75, 85, 34] from Operation: 49-15=34
Current State: 44:[75, 85, 34], Operations: ['49-15=34']
Exploring Operation: 85-75=10, Resulting Numbers: [34, 10]
Generated Node #3: [34, 10] from Operation: 85-75=10
Current State: 44:[34, 10], Operations: ['49-15=34', '85-75=10']
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[49, 15, 75, 85], Operations: []
Exploring Operation: 85-49=36, Resulting Numbers: [15, 75, 36]
Generated Node #0,0: 44:[15, 75, 36] Operation: 85-49=36
Exploring Operation: 85-75=10, Resulting Numbers: [49, 15, 10]
Generated Node #0,1: 44:[49, 15, 10] Operation: 85-75=10
Exploring Operation: 75-49=26, Resulting Numbers: [15, 85, 26]
Generated Node #0,2: 44:[15, 85, 26] Operation: 75-49=26
Exploring Operation: 75-15=60, Resulting Numbers: [49, 85, 60]
Generated Node #0,3: 44:[49, 85, 60] Operation: 75-15=60
Exploring Operation: 75/15=5, Resulting Numbers: [49, 85, 5]
Generated Node #0,4: 44:[49, 85, 5] Operation: 75/15=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[49, 15, 10], Operations: ['85-75=10']
Exploring Operation: 49-10=39, Resulting Numbers: [15, 39]
Generated Node #0,1,0: 44:[15, 39] Operation: 49-10=39
Exploring Operation: 49-15=34, Resulting Numbers: [10, 34]
Generated Node #0,1,1: 44:[10, 34] Operation: 49-15=34
Exploring Operation: 49+10=59, Resulting Numbers: [15, 59]
Generated Node #0,1,2: 44:[15, 59] Operation: 49+10=59
Exploring Operation: 15+10=25, Resulting Numbers: [49, 25]
Generated Node #0,1,3: 44:[49, 25] Operation: 15+10=25
Exploring Operation: 15-10=5, Resulting Numbers: [49, 5]
Generated Node #0,1,4: 44:[49, 5] Operation: 15-10=5
Moving to Node #0,1,4
Current State: 44:[49, 5], Operations: ['85-75=10', '15-10=5']
Exploring Operation: 49*5=245, Resulting Numbers: [245]
245,44 unequal: No Solution
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,44 unequal: No Solution
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[49, 15, 75, 85], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [49, 15, 10]
Generated Node #0,1: 44:[49, 15, 10] Operation: 85-75=10
Moving to Node #0,1
Current State: 44:[49, 15, 10], Operations: ['85-75=10']
Exploring Operation: 15-10=5, Resulting Numbers: [49, 5]
Generated Node #0,1,4: 44:[49, 5] Operation: 15-10=5
Moving to Node #0,1,4
Current State: 44:[49, 5], Operations: ['85-75=10', '15-10=5']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
32,
10,
88,
16
] | 54 | [
"32/16=2",
"88/2=44",
"10+44=54"
] | Current State: 54:[32, 10, 88, 16], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [10, 88, 2]
Generated Node #2: [10, 88, 2] from Operation: 32/16=2
Current State: 54:[10, 88, 2], Operations: ['32/16=2']
Exploring Operation: 88/2=44, Resulting Numbers: [10, 44]
Generated Node #3: [10, 44] from Operation: 88/2=44
Current State: 54:[10, 44], Operations: ['32/16=2', '88/2=44']
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[32, 10, 88, 16], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [10, 16, 56]
Generated Node #0,0: 54:[10, 16, 56] Operation: 88-32=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[10, 16, 56], Operations: ['88-32=56']
Exploring Operation: 16-10=6, Resulting Numbers: [56, 6]
Generated Node #0,0,0: 54:[56, 6] Operation: 16-10=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[56, 6], Operations: ['88-32=56', '16-10=6']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
9,
19,
21,
45
] | 74 | [
"45/9=5",
"19*5=95",
"95-21=74"
] | Current State: 74:[9, 19, 21, 45], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [19, 21, 5]
Generated Node #2: [19, 21, 5] from Operation: 45/9=5
Current State: 74:[19, 21, 5], Operations: ['45/9=5']
Exploring Operation: 19*5=95, Resulting Numbers: [21, 95]
Generated Node #3: [21, 95] from Operation: 19*5=95
Current State: 74:[21, 95], Operations: ['45/9=5', '19*5=95']
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[9, 19, 21, 45], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [9, 45, 2]
Generated Node #0,0: 74:[9, 45, 2] Operation: 21-19=2
Exploring Operation: 19+21=40, Resulting Numbers: [9, 45, 40]
Generated Node #0,1: 74:[9, 45, 40] Operation: 19+21=40
Exploring Operation: 19-9=10, Resulting Numbers: [21, 45, 10]
Generated Node #0,2: 74:[21, 45, 10] Operation: 19-9=10
Moving to Node #0,0
Current State: 74:[9, 45, 2], Operations: ['21-19=2']
Exploring Operation: 45-9=36, Resulting Numbers: [2, 36]
Generated Node #0,0,0: 74:[2, 36] Operation: 45-9=36
Exploring Operation: 45/9=5, Resulting Numbers: [2, 5]
Generated Node #0,0,1: 74:[2, 5] Operation: 45/9=5
Exploring Operation: 9-2=7, Resulting Numbers: [45, 7]
Generated Node #0,0,2: 74:[45, 7] Operation: 9-2=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[2, 36], Operations: ['21-19=2', '45-9=36']
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,74 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,74 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[2, 5], Operations: ['21-19=2', '45/9=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,74 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[45, 7], Operations: ['21-19=2', '9-2=7']
Exploring Operation: 45*7=315, Resulting Numbers: [315]
315,74 unequal: No Solution
Exploring Operation: 45+7=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 74:[9, 45, 40], Operations: ['19+21=40']
Exploring Operation: 45-40=5, Resulting Numbers: [9, 5]
Generated Node #0,1,0: 74:[9, 5] Operation: 45-40=5
Exploring Operation: 45-9=36, Resulting Numbers: [40, 36]
Generated Node #0,1,1: 74:[40, 36] Operation: 45-9=36
Exploring Operation: 45/9=5, Resulting Numbers: [40, 5]
Generated Node #0,1,2: 74:[40, 5] Operation: 45/9=5
Moving to Node #0,2
Current State: 74:[21, 45, 10], Operations: ['19-9=10']
Exploring Operation: 21-10=11, Resulting Numbers: [45, 11]
Generated Node #0,2,0: 74:[45, 11] Operation: 21-10=11
Exploring Operation: 21+10=31, Resulting Numbers: [45, 31]
Generated Node #0,2,1: 74:[45, 31] Operation: 21+10=31
Exploring Operation: 21+45=66, Resulting Numbers: [10, 66]
Generated Node #0,2,2: 74:[10, 66] Operation: 21+45=66
Moving to Node #0,1,1
Current State: 74:[40, 36], Operations: ['19+21=40', '45-9=36']
Exploring Operation: 40*36=1440, Resulting Numbers: [1440]
1440,74 unequal: No Solution
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[40, 5], Operations: ['19+21=40', '45/9=5']
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,74 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[9, 5], Operations: ['19+21=40', '45-40=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,74 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[45, 31], Operations: ['19-9=10', '21+10=31']
Exploring Operation: 45+31=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Exploring Operation: 45*31=1395, Resulting Numbers: [1395]
1395,74 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[10, 66], Operations: ['19-9=10', '21+45=66']
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,74 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[45, 11], Operations: ['19-9=10', '21-10=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,74 unequal: No Solution
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,74 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,74 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
75,
92,
25,
64
] | 72 | [
"92-75=17",
"25+64=89",
"89-17=72"
] | Current State: 72:[75, 92, 25, 64], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [25, 64, 17]
Generated Node #2: [25, 64, 17] from Operation: 92-75=17
Current State: 72:[25, 64, 17], Operations: ['92-75=17']
Exploring Operation: 25+64=89, Resulting Numbers: [17, 89]
Generated Node #3: [17, 89] from Operation: 25+64=89
Current State: 72:[17, 89], Operations: ['92-75=17', '25+64=89']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[75, 92, 25, 64], Operations: []
Exploring Operation: 92-64=28, Resulting Numbers: [75, 25, 28]
Generated Node #0,0: 72:[75, 25, 28] Operation: 92-64=28
Exploring Operation: 92-75=17, Resulting Numbers: [25, 64, 17]
Generated Node #0,1: 72:[25, 64, 17] Operation: 92-75=17
Exploring Operation: 92-25=67, Resulting Numbers: [75, 64, 67]
Generated Node #0,2: 72:[75, 64, 67] Operation: 92-25=67
Moving to Node #0,0
Current State: 72:[75, 25, 28], Operations: ['92-64=28']
Exploring Operation: 75-28=47, Resulting Numbers: [25, 47]
Generated Node #0,0,0: 72:[25, 47] Operation: 75-28=47
Exploring Operation: 28-25=3, Resulting Numbers: [75, 3]
Generated Node #0,0,1: 72:[75, 3] Operation: 28-25=3
Exploring Operation: 75/25=3, Resulting Numbers: [28, 3]
Generated Node #0,0,2: 72:[28, 3] Operation: 75/25=3
Moving to Node #0,1
Current State: 72:[25, 64, 17], Operations: ['92-75=17']
Exploring Operation: 25-17=8, Resulting Numbers: [64, 8]
Generated Node #0,1,0: 72:[64, 8] Operation: 25-17=8
Exploring Operation: 64+17=81, Resulting Numbers: [25, 81]
Generated Node #0,1,1: 72:[25, 81] Operation: 64+17=81
Exploring Operation: 64-25=39, Resulting Numbers: [17, 39]
Generated Node #0,1,2: 72:[17, 39] Operation: 64-25=39
Moving to Node #0,2
Current State: 72:[75, 64, 67], Operations: ['92-25=67']
Exploring Operation: 75-64=11, Resulting Numbers: [67, 11]
Generated Node #0,2,0: 72:[67, 11] Operation: 75-64=11
Exploring Operation: 67-64=3, Resulting Numbers: [75, 3]
Generated Node #0,2,1: 72:[75, 3] Operation: 67-64=3
Exploring Operation: 75-67=8, Resulting Numbers: [64, 8]
Generated Node #0,2,2: 72:[64, 8] Operation: 75-67=8
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[75, 3], Operations: ['92-25=67', '67-64=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[75, 92, 25, 64], Operations: []
Exploring Operation: 92-25=67, Resulting Numbers: [75, 64, 67]
Generated Node #0,2: 72:[75, 64, 67] Operation: 92-25=67
Moving to Node #0,2
Current State: 72:[75, 64, 67], Operations: ['92-25=67']
Exploring Operation: 67-64=3, Resulting Numbers: [75, 3]
Generated Node #0,2,1: 72:[75, 3] Operation: 67-64=3
Moving to Node #0,2,1
Current State: 72:[75, 3], Operations: ['92-25=67', '67-64=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
4,
16,
76,
52
] | 87 | [
"76/4=19",
"16+52=68",
"19+68=87"
] | Current State: 87:[4, 16, 76, 52], Operations: []
Exploring Operation: 76/4=19, Resulting Numbers: [16, 52, 19]
Generated Node #2: [16, 52, 19] from Operation: 76/4=19
Current State: 87:[16, 52, 19], Operations: ['76/4=19']
Exploring Operation: 16+52=68, Resulting Numbers: [19, 68]
Generated Node #3: [19, 68] from Operation: 16+52=68
Current State: 87:[19, 68], Operations: ['76/4=19', '16+52=68']
Exploring Operation: 19+68=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[4, 16, 76, 52], Operations: []
Exploring Operation: 16+76=92, Resulting Numbers: [4, 52, 92]
Generated Node #0,0: 87:[4, 52, 92] Operation: 16+76=92
Exploring Operation: 76-52=24, Resulting Numbers: [4, 16, 24]
Generated Node #0,1: 87:[4, 16, 24] Operation: 76-52=24
Exploring Operation: 16+52=68, Resulting Numbers: [4, 76, 68]
Generated Node #0,2: 87:[4, 76, 68] Operation: 16+52=68
Exploring Operation: 52-16=36, Resulting Numbers: [4, 76, 36]
Generated Node #0,3: 87:[4, 76, 36] Operation: 52-16=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[4, 16, 24], Operations: ['76-52=24']
Exploring Operation: 4+16=20, Resulting Numbers: [24, 20]
Generated Node #0,1,0: 87:[24, 20] Operation: 4+16=20
Exploring Operation: 16/4=4, Resulting Numbers: [24, 4]
Generated Node #0,1,1: 87:[24, 4] Operation: 16/4=4
Exploring Operation: 16+24=40, Resulting Numbers: [4, 40]
Generated Node #0,1,2: 87:[4, 40] Operation: 16+24=40
Exploring Operation: 24-16=8, Resulting Numbers: [4, 8]
Generated Node #0,1,3: 87:[4, 8] Operation: 24-16=8
Moving to Node #0,1,1
Current State: 87:[24, 4], Operations: ['76-52=24', '16/4=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,87 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,87 unequal: No Solution
Moving to Node #0,1,3
Current State: 87:[4, 8], Operations: ['76-52=24', '24-16=8']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[4, 40], Operations: ['76-52=24', '16+24=40']
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,87 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,87 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,87 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Moving to Node #0,1,0
Current State: 87:[24, 20], Operations: ['76-52=24', '4+16=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,87 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 87:[4, 76, 36], Operations: ['52-16=36']
Exploring Operation: 4+76=80, Resulting Numbers: [36, 80]
Generated Node #0,3,0: 87:[36, 80] Operation: 4+76=80
Exploring Operation: 76-36=40, Resulting Numbers: [4, 40]
Generated Node #0,3,1: 87:[4, 40] Operation: 76-36=40
Exploring Operation: 76/4=19, Resulting Numbers: [36, 19]
Generated Node #0,3,2: 87:[36, 19] Operation: 76/4=19
Exploring Operation: 36-4=32, Resulting Numbers: [76, 32]
Generated Node #0,3,3: 87:[76, 32] Operation: 36-4=32
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 87:[4, 40], Operations: ['52-16=36', '76-36=40']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,87 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,87 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 87:[36, 80], Operations: ['52-16=36', '4+76=80']
Exploring Operation: 36+80=116, Resulting Numbers: [116]
116,87 unequal: No Solution
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 36*80=2880, Resulting Numbers: [2880]
2880,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 87:[76, 32], Operations: ['52-16=36', '36-4=32']
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 76+32=108, Resulting Numbers: [108]
108,87 unequal: No Solution
Exploring Operation: 76*32=2432, Resulting Numbers: [2432]
2432,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 87:[36, 19], Operations: ['52-16=36', '76/4=19']
Exploring Operation: 36*19=684, Resulting Numbers: [684]
684,87 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 36+19=55, Resulting Numbers: [55]
55,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[4, 52, 92], Operations: ['16+76=92']
Exploring Operation: 52/4=13, Resulting Numbers: [92, 13]
Generated Node #0,0,0: 87:[92, 13] Operation: 52/4=13
Exploring Operation: 92-52=40, Resulting Numbers: [4, 40]
Generated Node #0,0,1: 87:[4, 40] Operation: 92-52=40
Exploring Operation: 92-4=88, Resulting Numbers: [52, 88]
Generated Node #0,0,2: 87:[52, 88] Operation: 92-4=88
Exploring Operation: 52-4=48, Resulting Numbers: [92, 48]
Generated Node #0,0,3: 87:[92, 48] Operation: 52-4=48
Moving to Node #0,0,1
Current State: 87:[4, 40], Operations: ['16+76=92', '92-52=40']
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,87 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,87 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[92, 13], Operations: ['16+76=92', '52/4=13']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,87 unequal: No Solution
Exploring Operation: 92*13=1196, Resulting Numbers: [1196]
1196,87 unequal: No Solution
Exploring Operation: 92+13=105, Resulting Numbers: [105]
105,87 unequal: No Solution
Moving to Node #0,0,3
Current State: 87:[92, 48], Operations: ['16+76=92', '52-4=48']
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 92+48=140, Resulting Numbers: [140]
140,87 unequal: No Solution
Exploring Operation: 92*48=4416, Resulting Numbers: [4416]
4416,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[52, 88], Operations: ['16+76=92', '92-4=88']
Exploring Operation: 52+88=140, Resulting Numbers: [140]
140,87 unequal: No Solution
Exploring Operation: 52*88=4576, Resulting Numbers: [4576]
4576,87 unequal: No Solution
Exploring Operation: 88-52=36, Resulting Numbers: [36]
36,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[4, 76, 68], Operations: ['16+52=68']
Exploring Operation: 76-68=8, Resulting Numbers: [4, 8]
Generated Node #0,2,0: 87:[4, 8] Operation: 76-68=8
Exploring Operation: 4+68=72, Resulting Numbers: [76, 72]
Generated Node #0,2,1: 87:[76, 72] Operation: 4+68=72
Exploring Operation: 4+76=80, Resulting Numbers: [68, 80]
Generated Node #0,2,2: 87:[68, 80] Operation: 4+76=80
Exploring Operation: 68/4=17, Resulting Numbers: [76, 17]
Generated Node #0,2,3: 87:[76, 17] Operation: 68/4=17
Moving to Node #0,2,0
Current State: 87:[4, 8], Operations: ['16+52=68', '76-68=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Moving to Node #0,2,3
Current State: 87:[76, 17], Operations: ['16+52=68', '68/4=17']
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,87 unequal: No Solution
Exploring Operation: 76+17=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 76*17=1292, Resulting Numbers: [1292]
1292,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[68, 80], Operations: ['16+52=68', '4+76=80']
Exploring Operation: 68+80=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 68*80=5440, Resulting Numbers: [5440]
5440,87 unequal: No Solution
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[76, 72], Operations: ['16+52=68', '4+68=72']
Exploring Operation: 76*72=5472, Resulting Numbers: [5472]
5472,87 unequal: No Solution
Exploring Operation: 76+72=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 76-72=4, Resulting Numbers: [4]
4,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
9,
90,
92,
63
] | 14 | [
"63/9=7",
"92-90=2",
"7*2=14"
] | Current State: 14:[9, 90, 92, 63], Operations: []
Exploring Operation: 63/9=7, Resulting Numbers: [90, 92, 7]
Generated Node #2: [90, 92, 7] from Operation: 63/9=7
Current State: 14:[90, 92, 7], Operations: ['63/9=7']
Exploring Operation: 92-90=2, Resulting Numbers: [7, 2]
Generated Node #3: [7, 2] from Operation: 92-90=2
Current State: 14:[7, 2], Operations: ['63/9=7', '92-90=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[9, 90, 92, 63], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [9, 92, 27]
Generated Node #0,0: 14:[9, 92, 27] Operation: 90-63=27
Exploring Operation: 92-63=29, Resulting Numbers: [9, 90, 29]
Generated Node #0,1: 14:[9, 90, 29] Operation: 92-63=29
Exploring Operation: 92-90=2, Resulting Numbers: [9, 63, 2]
Generated Node #0,2: 14:[9, 63, 2] Operation: 92-90=2
Moving to Node #0,2
Current State: 14:[9, 63, 2], Operations: ['92-90=2']
Exploring Operation: 9-2=7, Resulting Numbers: [63, 7]
Generated Node #0,2,0: 14:[63, 7] Operation: 9-2=7
Exploring Operation: 63/9=7, Resulting Numbers: [2, 7]
Generated Node #0,2,1: 14:[2, 7] Operation: 63/9=7
Exploring Operation: 63-9=54, Resulting Numbers: [2, 54]
Generated Node #0,2,2: 14:[2, 54] Operation: 63-9=54
Moving to Node #0,0
Current State: 14:[9, 92, 27], Operations: ['90-63=27']
Exploring Operation: 27/9=3, Resulting Numbers: [92, 3]
Generated Node #0,0,0: 14:[92, 3] Operation: 27/9=3
Exploring Operation: 92-9=83, Resulting Numbers: [27, 83]
Generated Node #0,0,1: 14:[27, 83] Operation: 92-9=83
Exploring Operation: 92-27=65, Resulting Numbers: [9, 65]
Generated Node #0,0,2: 14:[9, 65] Operation: 92-27=65
Moving to Node #0,1
Current State: 14:[9, 90, 29], Operations: ['92-63=29']
Exploring Operation: 90-9=81, Resulting Numbers: [29, 81]
Generated Node #0,1,0: 14:[29, 81] Operation: 90-9=81
Exploring Operation: 90-29=61, Resulting Numbers: [9, 61]
Generated Node #0,1,1: 14:[9, 61] Operation: 90-29=61
Exploring Operation: 90/9=10, Resulting Numbers: [29, 10]
Generated Node #0,1,2: 14:[29, 10] Operation: 90/9=10
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 14:[29, 10], Operations: ['92-63=29', '90/9=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,14 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,14 unequal: No Solution
Exploring Operation: 29*10=290, Resulting Numbers: [290]
290,14 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:[9, 61], Operations: ['92-63=29', '90-29=61']
Exploring Operation: 9*61=549, Resulting Numbers: [549]
549,14 unequal: No Solution
Exploring Operation: 9+61=70, Resulting Numbers: [70]
70,14 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,14 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 #0,1,0
Current State: 14:[29, 81], Operations: ['92-63=29', '90-9=81']
Exploring Operation: 29*81=2349, Resulting Numbers: [2349]
2349,14 unequal: No Solution
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 29+81=110, Resulting Numbers: [110]
110,14 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: 14:[2, 7], Operations: ['92-90=2', '63/9=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[9, 90, 92, 63], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [9, 63, 2]
Generated Node #0,2: 14:[9, 63, 2] Operation: 92-90=2
Moving to Node #0,2
Current State: 14:[9, 63, 2], Operations: ['92-90=2']
Exploring Operation: 63/9=7, Resulting Numbers: [2, 7]
Generated Node #0,2,1: 14:[2, 7] Operation: 63/9=7
Moving to Node #0,2,1
Current State: 14:[2, 7], Operations: ['92-90=2', '63/9=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
13,
12,
80,
23
] | 77 | [
"13+23=36",
"36/12=3",
"80-3=77"
] | Current State: 77:[13, 12, 80, 23], Operations: []
Exploring Operation: 13+23=36, Resulting Numbers: [12, 80, 36]
Generated Node #2: [12, 80, 36] from Operation: 13+23=36
Current State: 77:[12, 80, 36], Operations: ['13+23=36']
Exploring Operation: 36/12=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 36/12=3
Current State: 77:[80, 3], Operations: ['13+23=36', '36/12=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[13, 12, 80, 23], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [13, 80, 11]
Generated Node #0,0: 77:[13, 80, 11] Operation: 23-12=11
Exploring Operation: 23-13=10, Resulting Numbers: [12, 80, 10]
Generated Node #0,1: 77:[12, 80, 10] Operation: 23-13=10
Moving to Node #0,0
Current State: 77:[13, 80, 11], Operations: ['23-12=11']
Exploring Operation: 80-13=67, Resulting Numbers: [11, 67]
Generated Node #0,0,0: 77:[11, 67] Operation: 80-13=67
Exploring Operation: 13-11=2, Resulting Numbers: [80, 2]
Generated Node #0,0,1: 77:[80, 2] Operation: 13-11=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[80, 2], Operations: ['23-12=11', '13-11=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,77 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,77 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 #0,0,0
Current State: 77:[11, 67], Operations: ['23-12=11', '80-13=67']
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,77 unequal: No Solution
Exploring Operation: 11+67=78, Resulting Numbers: [78]
78,77 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: 77:[12, 80, 10], Operations: ['23-13=10']
Exploring Operation: 12-10=2, Resulting Numbers: [80, 2]
Generated Node #0,1,0: 77:[80, 2] Operation: 12-10=2
Exploring Operation: 80/10=8, Resulting Numbers: [12, 8]
Generated Node #0,1,1: 77:[12, 8] Operation: 80/10=8
Moving to Node #0,1,1
Current State: 77:[12, 8], Operations: ['23-13=10', '80/10=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,77 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[80, 2], Operations: ['23-13=10', '12-10=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,77 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
45,
10,
75,
28
] | 34 | [
"45*10=450",
"450/75=6",
"28+6=34"
] | Current State: 34:[45, 10, 75, 28], Operations: []
Exploring Operation: 45*10=450, Resulting Numbers: [75, 28, 450]
Generated Node #2: [75, 28, 450] from Operation: 45*10=450
Current State: 34:[75, 28, 450], Operations: ['45*10=450']
Exploring Operation: 450/75=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 450/75=6
Current State: 34:[28, 6], Operations: ['45*10=450', '450/75=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[45, 10, 75, 28], Operations: []
Exploring Operation: 75-45=30, Resulting Numbers: [10, 28, 30]
Generated Node #0,0: 34:[10, 28, 30] Operation: 75-45=30
Moving to Node #0,0
Current State: 34:[10, 28, 30], Operations: ['75-45=30']
Exploring Operation: 28-10=18, Resulting Numbers: [30, 18]
Generated Node #0,0,0: 34:[30, 18] Operation: 28-10=18
Moving to Node #0,0,0
Current State: 34:[30, 18], Operations: ['75-45=30', '28-10=18']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,34 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
69,
56,
3,
39
] | 89 | [
"69+56=125",
"39-3=36",
"125-36=89"
] | Current State: 89:[69, 56, 3, 39], Operations: []
Exploring Operation: 69+56=125, Resulting Numbers: [3, 39, 125]
Generated Node #2: [3, 39, 125] from Operation: 69+56=125
Current State: 89:[3, 39, 125], Operations: ['69+56=125']
Exploring Operation: 39-3=36, Resulting Numbers: [125, 36]
Generated Node #3: [125, 36] from Operation: 39-3=36
Current State: 89:[125, 36], Operations: ['69+56=125', '39-3=36']
Exploring Operation: 125-36=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[69, 56, 3, 39], Operations: []
Exploring Operation: 3*39=117, Resulting Numbers: [69, 56, 117]
Generated Node #0,0: 89:[69, 56, 117] Operation: 3*39=117
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[69, 56, 117], Operations: ['3*39=117']
Exploring Operation: 117-56=61, Resulting Numbers: [69, 61]
Generated Node #0,0,0: 89:[69, 61] Operation: 117-56=61
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[69, 61], Operations: ['3*39=117', '117-56=61']
Exploring Operation: 69+61=130, Resulting Numbers: [130]
130,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
59,
39,
21
] | 61 | [
"3+39=42",
"42/21=2",
"59+2=61"
] | Current State: 61:[3, 59, 39, 21], Operations: []
Exploring Operation: 3+39=42, Resulting Numbers: [59, 21, 42]
Generated Node #2: [59, 21, 42] from Operation: 3+39=42
Current State: 61:[59, 21, 42], Operations: ['3+39=42']
Exploring Operation: 42/21=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 42/21=2
Current State: 61:[59, 2], Operations: ['3+39=42', '42/21=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[3, 59, 39, 21], Operations: []
Exploring Operation: 3+21=24, Resulting Numbers: [59, 39, 24]
Generated Node #0,0: 61:[59, 39, 24] Operation: 3+21=24
Exploring Operation: 3*21=63, Resulting Numbers: [59, 39, 63]
Generated Node #0,1: 61:[59, 39, 63] Operation: 3*21=63
Exploring Operation: 3+39=42, Resulting Numbers: [59, 21, 42]
Generated Node #0,2: 61:[59, 21, 42] Operation: 3+39=42
Exploring Operation: 39+21=60, Resulting Numbers: [3, 59, 60]
Generated Node #0,3: 61:[3, 59, 60] Operation: 39+21=60
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[59, 39, 63], Operations: ['3*21=63']
Exploring Operation: 39+63=102, Resulting Numbers: [59, 102]
Generated Node #0,1,0: 61:[59, 102] Operation: 39+63=102
Exploring Operation: 59+39=98, Resulting Numbers: [63, 98]
Generated Node #0,1,1: 61:[63, 98] Operation: 59+39=98
Exploring Operation: 63-39=24, Resulting Numbers: [59, 24]
Generated Node #0,1,2: 61:[59, 24] Operation: 63-39=24
Exploring Operation: 59-39=20, Resulting Numbers: [63, 20]
Generated Node #0,1,3: 61:[63, 20] Operation: 59-39=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[63, 98], Operations: ['3*21=63', '59+39=98']
Exploring Operation: 63*98=6174, Resulting Numbers: [6174]
6174,61 unequal: No Solution
Exploring Operation: 63+98=161, Resulting Numbers: [161]
161,61 unequal: No Solution
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,61 unequal: No Solution
No 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: 61:[59, 24], Operations: ['3*21=63', '63-39=24']
Exploring Operation: 59*24=1416, Resulting Numbers: [1416]
1416,61 unequal: No Solution
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,61 unequal: No Solution
Exploring Operation: 59+24=83, Resulting Numbers: [83]
83,61 unequal: No Solution
No 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: 61:[59, 102], Operations: ['3*21=63', '39+63=102']
Exploring Operation: 59*102=6018, Resulting Numbers: [6018]
6018,61 unequal: No Solution
Exploring Operation: 59+102=161, Resulting Numbers: [161]
161,61 unequal: No Solution
Exploring Operation: 102-59=43, Resulting Numbers: [43]
43,61 unequal: No Solution
No 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: 61:[63, 20], Operations: ['3*21=63', '59-39=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,61 unequal: No Solution
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[59, 39, 24], Operations: ['3+21=24']
Exploring Operation: 39+24=63, Resulting Numbers: [59, 63]
Generated Node #0,0,0: 61:[59, 63] Operation: 39+24=63
Exploring Operation: 59-24=35, Resulting Numbers: [39, 35]
Generated Node #0,0,1: 61:[39, 35] Operation: 59-24=35
Exploring Operation: 59+24=83, Resulting Numbers: [39, 83]
Generated Node #0,0,2: 61:[39, 83] Operation: 59+24=83
Exploring Operation: 39-24=15, Resulting Numbers: [59, 15]
Generated Node #0,0,3: 61:[59, 15] Operation: 39-24=15
Moving to Node #0,0,0
Current State: 61:[59, 63], Operations: ['3+21=24', '39+24=63']
Exploring Operation: 59+63=122, Resulting Numbers: [122]
122,61 unequal: No Solution
Exploring Operation: 59*63=3717, Resulting Numbers: [3717]
3717,61 unequal: No Solution
Exploring Operation: 63-59=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[39, 83], Operations: ['3+21=24', '59+24=83']
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 39+83=122, Resulting Numbers: [122]
122,61 unequal: No Solution
Exploring Operation: 39*83=3237, Resulting Numbers: [3237]
3237,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[59, 15], Operations: ['3+21=24', '39-24=15']
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 59*15=885, Resulting Numbers: [885]
885,61 unequal: No Solution
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[39, 35], Operations: ['3+21=24', '59-24=35']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[59, 21, 42], Operations: ['3+39=42']
Exploring Operation: 59+21=80, Resulting Numbers: [42, 80]
Generated Node #0,2,0: 61:[42, 80] Operation: 59+21=80
Exploring Operation: 21+42=63, Resulting Numbers: [59, 63]
Generated Node #0,2,1: 61:[59, 63] Operation: 21+42=63
Exploring Operation: 42-21=21, Resulting Numbers: [59, 21]
Generated Node #0,2,2: 61:[59, 21] Operation: 42-21=21
Exploring Operation: 59-21=38, Resulting Numbers: [42, 38]
Generated Node #0,2,3: 61:[42, 38] Operation: 59-21=38
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 61:[59, 63], Operations: ['3+39=42', '21+42=63']
Exploring Operation: 63-59=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 59*63=3717, Resulting Numbers: [3717]
3717,61 unequal: No Solution
Exploring Operation: 59+63=122, Resulting Numbers: [122]
122,61 unequal: No Solution
No 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: 61:[42, 80], Operations: ['3+39=42', '59+21=80']
Exploring Operation: 42*80=3360, Resulting Numbers: [3360]
3360,61 unequal: No Solution
Exploring Operation: 42+80=122, Resulting Numbers: [122]
122,61 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,61 unequal: No Solution
No 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: 61:[59, 21], Operations: ['3+39=42', '42-21=21']
Exploring Operation: 59-21=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 59*21=1239, Resulting Numbers: [1239]
1239,61 unequal: No Solution
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,61 unequal: No Solution
No 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: 61:[42, 38], Operations: ['3+39=42', '59-21=38']
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,61 unequal: No Solution
Exploring Operation: 42*38=1596, Resulting Numbers: [1596]
1596,61 unequal: No Solution
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[3, 59, 60], Operations: ['39+21=60']
Exploring Operation: 59-3=56, Resulting Numbers: [60, 56]
Generated Node #0,3,0: 61:[60, 56] Operation: 59-3=56
Exploring Operation: 60-3=57, Resulting Numbers: [59, 57]
Generated Node #0,3,1: 61:[59, 57] Operation: 60-3=57
Exploring Operation: 3+60=63, Resulting Numbers: [59, 63]
Generated Node #0,3,2: 61:[59, 63] Operation: 3+60=63
Exploring Operation: 3+59=62, Resulting Numbers: [60, 62]
Generated Node #0,3,3: 61:[60, 62] Operation: 3+59=62
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 61:[60, 62], Operations: ['39+21=60', '3+59=62']
Exploring Operation: 60*62=3720, Resulting Numbers: [3720]
3720,61 unequal: No Solution
Exploring Operation: 62-60=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 60+62=122, Resulting Numbers: [122]
122,61 unequal: No Solution
No 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: 61:[59, 63], Operations: ['39+21=60', '3+60=63']
Exploring Operation: 63-59=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 59*63=3717, Resulting Numbers: [3717]
3717,61 unequal: No Solution
Exploring Operation: 59+63=122, Resulting Numbers: [122]
122,61 unequal: No Solution
No 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: 61:[60, 56], Operations: ['39+21=60', '59-3=56']
Exploring Operation: 60+56=116, Resulting Numbers: [116]
116,61 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 60*56=3360, Resulting Numbers: [3360]
3360,61 unequal: No Solution
No 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: 61:[59, 57], Operations: ['39+21=60', '60-3=57']
Exploring Operation: 59+57=116, Resulting Numbers: [116]
116,61 unequal: No Solution
Exploring Operation: 59*57=3363, Resulting Numbers: [3363]
3363,61 unequal: No Solution
Exploring Operation: 59-57=2, Resulting Numbers: [2]
2,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
65,
28,
87,
32
] | 92 | [
"65-28=37",
"87-32=55",
"37+55=92"
] | Current State: 92:[65, 28, 87, 32], Operations: []
Exploring Operation: 65-28=37, Resulting Numbers: [87, 32, 37]
Generated Node #2: [87, 32, 37] from Operation: 65-28=37
Current State: 92:[87, 32, 37], Operations: ['65-28=37']
Exploring Operation: 87-32=55, Resulting Numbers: [37, 55]
Generated Node #3: [37, 55] from Operation: 87-32=55
Current State: 92:[37, 55], Operations: ['65-28=37', '87-32=55']
Exploring Operation: 37+55=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[65, 28, 87, 32], Operations: []
Exploring Operation: 87-65=22, Resulting Numbers: [28, 32, 22]
Generated Node #0,0: 92:[28, 32, 22] Operation: 87-65=22
Exploring Operation: 65+28=93, Resulting Numbers: [87, 32, 93]
Generated Node #0,1: 92:[87, 32, 93] Operation: 65+28=93
Moving to Node #0,0
Current State: 92:[28, 32, 22], Operations: ['87-65=22']
Exploring Operation: 28-22=6, Resulting Numbers: [32, 6]
Generated Node #0,0,0: 92:[32, 6] Operation: 28-22=6
Exploring Operation: 32-28=4, Resulting Numbers: [22, 4]
Generated Node #0,0,1: 92:[22, 4] Operation: 32-28=4
Moving to Node #0,1
Current State: 92:[87, 32, 93], Operations: ['65+28=93']
Exploring Operation: 87-32=55, Resulting Numbers: [93, 55]
Generated Node #0,1,0: 92:[93, 55] Operation: 87-32=55
Exploring Operation: 93-87=6, Resulting Numbers: [32, 6]
Generated Node #0,1,1: 92:[32, 6] Operation: 93-87=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[93, 55], Operations: ['65+28=93', '87-32=55']
Exploring Operation: 93-55=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 93+55=148, Resulting Numbers: [148]
148,92 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 #0,1,1
Current State: 92:[32, 6], Operations: ['65+28=93', '93-87=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,92 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: 92:[22, 4], Operations: ['87-65=22', '32-28=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[32, 6], Operations: ['87-65=22', '28-22=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,92 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
99,
11,
34,
17
] | 93 | [
"99+11=110",
"34-17=17",
"110-17=93"
] | Current State: 93:[99, 11, 34, 17], Operations: []
Exploring Operation: 99+11=110, Resulting Numbers: [34, 17, 110]
Generated Node #2: [34, 17, 110] from Operation: 99+11=110
Current State: 93:[34, 17, 110], Operations: ['99+11=110']
Exploring Operation: 34-17=17, Resulting Numbers: [110, 17]
Generated Node #3: [110, 17] from Operation: 34-17=17
Current State: 93:[110, 17], Operations: ['99+11=110', '34-17=17']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[99, 11, 34, 17], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [99, 11, 2]
Generated Node #0,0: 93:[99, 11, 2] Operation: 34/17=2
Exploring Operation: 17-11=6, Resulting Numbers: [99, 34, 6]
Generated Node #0,1: 93:[99, 34, 6] Operation: 17-11=6
Exploring Operation: 11+17=28, Resulting Numbers: [99, 34, 28]
Generated Node #0,2: 93:[99, 34, 28] Operation: 11+17=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[99, 34, 6], Operations: ['17-11=6']
Exploring Operation: 34-6=28, Resulting Numbers: [99, 28]
Generated Node #0,1,0: 93:[99, 28] Operation: 34-6=28
Exploring Operation: 99-6=93, Resulting Numbers: [34, 93]
Generated Node #0,1,1: 93:[34, 93] Operation: 99-6=93
Exploring Operation: 99+6=105, Resulting Numbers: [34, 105]
Generated Node #0,1,2: 93:[34, 105] Operation: 99+6=105
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[34, 93], Operations: ['17-11=6', '99-6=93']
Exploring Operation: 34*93=3162, Resulting Numbers: [3162]
3162,93 unequal: No Solution
Exploring Operation: 34+93=127, Resulting Numbers: [127]
127,93 unequal: No Solution
Exploring Operation: 93-34=59, Resulting Numbers: [59]
59,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[99, 28], Operations: ['17-11=6', '34-6=28']
Exploring Operation: 99-28=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 99+28=127, Resulting Numbers: [127]
127,93 unequal: No Solution
Exploring Operation: 99*28=2772, Resulting Numbers: [2772]
2772,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[34, 105], Operations: ['17-11=6', '99+6=105']
Exploring Operation: 34+105=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 34*105=3570, Resulting Numbers: [3570]
3570,93 unequal: No Solution
Exploring Operation: 105-34=71, Resulting Numbers: [71]
71,93 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: 93:[99, 34, 28], Operations: ['11+17=28']
Exploring Operation: 34-28=6, Resulting Numbers: [99, 6]
Generated Node #0,2,0: 93:[99, 6] Operation: 34-28=6
Exploring Operation: 99-28=71, Resulting Numbers: [34, 71]
Generated Node #0,2,1: 93:[34, 71] Operation: 99-28=71
Exploring Operation: 99-34=65, Resulting Numbers: [28, 65]
Generated Node #0,2,2: 93:[28, 65] Operation: 99-34=65
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 93:[99, 6], Operations: ['11+17=28', '34-28=6']
Exploring Operation: 99*6=594, Resulting Numbers: [594]
594,93 unequal: No Solution
Exploring Operation: 99+6=105, Resulting Numbers: [105]
105,93 unequal: No Solution
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[99, 11, 34, 17], Operations: []
Exploring Operation: 11+17=28, Resulting Numbers: [99, 34, 28]
Generated Node #0,2: 93:[99, 34, 28] Operation: 11+17=28
Moving to Node #0,2
Current State: 93:[99, 34, 28], Operations: ['11+17=28']
Exploring Operation: 34-28=6, Resulting Numbers: [99, 6]
Generated Node #0,2,0: 93:[99, 6] Operation: 34-28=6
Moving to Node #0,2,0
Current State: 93:[99, 6], Operations: ['11+17=28', '34-28=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
3,
52,
9,
31
] | 32 | [
"3*31=93",
"52+9=61",
"93-61=32"
] | Current State: 32:[3, 52, 9, 31], Operations: []
Exploring Operation: 3*31=93, Resulting Numbers: [52, 9, 93]
Generated Node #2: [52, 9, 93] from Operation: 3*31=93
Current State: 32:[52, 9, 93], Operations: ['3*31=93']
Exploring Operation: 52+9=61, Resulting Numbers: [93, 61]
Generated Node #3: [93, 61] from Operation: 52+9=61
Current State: 32:[93, 61], Operations: ['3*31=93', '52+9=61']
Exploring Operation: 93-61=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[3, 52, 9, 31], Operations: []
Exploring Operation: 52-31=21, Resulting Numbers: [3, 9, 21]
Generated Node #0,0: 32:[3, 9, 21] Operation: 52-31=21
Exploring Operation: 52-3=49, Resulting Numbers: [9, 31, 49]
Generated Node #0,1: 32:[9, 31, 49] Operation: 52-3=49
Exploring Operation: 52-9=43, Resulting Numbers: [3, 31, 43]
Generated Node #0,2: 32:[3, 31, 43] Operation: 52-9=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[3, 9, 21], Operations: ['52-31=21']
Exploring Operation: 21-3=18, Resulting Numbers: [9, 18]
Generated Node #0,0,0: 32:[9, 18] Operation: 21-3=18
Exploring Operation: 21/3=7, Resulting Numbers: [9, 7]
Generated Node #0,0,1: 32:[9, 7] Operation: 21/3=7
Exploring Operation: 9+21=30, Resulting Numbers: [3, 30]
Generated Node #0,0,2: 32:[3, 30] Operation: 9+21=30
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 32:[9, 7], Operations: ['52-31=21', '21/3=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,32 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[9, 18], Operations: ['52-31=21', '21-3=18']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 32:[3, 30], Operations: ['52-31=21', '9+21=30']
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,32 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,32 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[3, 31, 43], Operations: ['52-9=43']
Exploring Operation: 3+31=34, Resulting Numbers: [43, 34]
Generated Node #0,2,0: 32:[43, 34] Operation: 3+31=34
Exploring Operation: 43-31=12, Resulting Numbers: [3, 12]
Generated Node #0,2,1: 32:[3, 12] Operation: 43-31=12
Exploring Operation: 43-3=40, Resulting Numbers: [31, 40]
Generated Node #0,2,2: 32:[31, 40] Operation: 43-3=40
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 32:[3, 12], Operations: ['52-9=43', '43-31=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,32 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 32:[31, 40], Operations: ['52-9=43', '43-3=40']
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,32 unequal: No Solution
Exploring Operation: 31*40=1240, Resulting Numbers: [1240]
1240,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 32:[43, 34], Operations: ['52-9=43', '3+31=34']
Exploring Operation: 43*34=1462, Resulting Numbers: [1462]
1462,32 unequal: No Solution
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[9, 31, 49], Operations: ['52-3=49']
Exploring Operation: 31-9=22, Resulting Numbers: [49, 22]
Generated Node #0,1,0: 32:[49, 22] Operation: 31-9=22
Exploring Operation: 49-31=18, Resulting Numbers: [9, 18]
Generated Node #0,1,1: 32:[9, 18] Operation: 49-31=18
Exploring Operation: 49-9=40, Resulting Numbers: [31, 40]
Generated Node #0,1,2: 32:[31, 40] Operation: 49-9=40
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 32:[9, 18], Operations: ['52-3=49', '49-31=18']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 32:[31, 40], Operations: ['52-3=49', '49-9=40']
Exploring Operation: 31*40=1240, Resulting Numbers: [1240]
1240,32 unequal: No Solution
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,32 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 32:[49, 22], Operations: ['52-3=49', '31-9=22']
Exploring Operation: 49*22=1078, Resulting Numbers: [1078]
1078,32 unequal: No Solution
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,32 unequal: No Solution
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
92,
81,
55,
11
] | 33 | [
"92-81=11",
"55-11=44",
"44-11=33"
] | Current State: 33:[92, 81, 55, 11], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [55, 11, 11]
Generated Node #2: [55, 11, 11] from Operation: 92-81=11
Current State: 33:[55, 11, 11], Operations: ['92-81=11']
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,33 equal: Goal Reached
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[92, 81, 55, 11], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [55, 11, 11]
Generated Node #0,0: 33:[55, 11, 11] Operation: 92-81=11
Exploring Operation: 81-55=26, Resulting Numbers: [92, 11, 26]
Generated Node #0,1: 33:[92, 11, 26] Operation: 81-55=26
Exploring Operation: 92-55=37, Resulting Numbers: [81, 11, 37]
Generated Node #0,2: 33:[81, 11, 37] Operation: 92-55=37
Moving to Node #0,0
Current State: 33:[55, 11, 11], Operations: ['92-81=11']
Exploring Operation: 55/11=5, Resulting Numbers: [11, 5]
Generated Node #0,0,0: 33:[11, 5] Operation: 55/11=5
Exploring Operation: 55-11=44, Resulting Numbers: [11, 44]
Generated Node #0,0,1: 33:[11, 44] Operation: 55-11=44
Exploring Operation: 55/11=5, Resulting Numbers: [11, 5]
Generated Node #0,0,2: 33:[11, 5] Operation: 55/11=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[11, 5], Operations: ['92-81=11', '55/11=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,33 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 33:[11, 5], Operations: ['92-81=11', '55/11=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,33 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 33:[11, 44], Operations: ['92-81=11', '55-11=44']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[92, 81, 55, 11], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [55, 11, 11]
Generated Node #0,0: 33:[55, 11, 11] Operation: 92-81=11
Moving to Node #0,0
Current State: 33:[55, 11, 11], Operations: ['92-81=11']
Exploring Operation: 55-11=44, Resulting Numbers: [11, 44]
Generated Node #0,0,1: 33:[11, 44] Operation: 55-11=44
Moving to Node #0,0,1
Current State: 33:[11, 44], Operations: ['92-81=11', '55-11=44']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
7,
34,
24,
32
] | 10 | [
"34-32=2",
"7*2=14",
"24-14=10"
] | Current State: 10:[7, 34, 24, 32], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [7, 24, 2]
Generated Node #2: [7, 24, 2] from Operation: 34-32=2
Current State: 10:[7, 24, 2], Operations: ['34-32=2']
Exploring Operation: 7*2=14, Resulting Numbers: [24, 14]
Generated Node #3: [24, 14] from Operation: 7*2=14
Current State: 10:[24, 14], Operations: ['34-32=2', '7*2=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[7, 34, 24, 32], Operations: []
Exploring Operation: 34-7=27, Resulting Numbers: [24, 32, 27]
Generated Node #0,0: 10:[24, 32, 27] Operation: 34-7=27
Exploring Operation: 24-7=17, Resulting Numbers: [34, 32, 17]
Generated Node #0,1: 10:[34, 32, 17] Operation: 24-7=17
Exploring Operation: 32-24=8, Resulting Numbers: [7, 34, 8]
Generated Node #0,2: 10:[7, 34, 8] Operation: 32-24=8
Exploring Operation: 34-32=2, Resulting Numbers: [7, 24, 2]
Generated Node #0,3: 10:[7, 24, 2] Operation: 34-32=2
Exploring Operation: 34-24=10, Resulting Numbers: [7, 32, 10]
Generated Node #0,4: 10:[7, 32, 10] Operation: 34-24=10
Moving to Node #0,3
Current State: 10:[7, 24, 2], Operations: ['34-32=2']
Exploring Operation: 7-2=5, Resulting Numbers: [24, 5]
Generated Node #0,3,0: 10:[24, 5] Operation: 7-2=5
Exploring Operation: 24/2=12, Resulting Numbers: [7, 12]
Generated Node #0,3,1: 10:[7, 12] Operation: 24/2=12
Exploring Operation: 7+2=9, Resulting Numbers: [24, 9]
Generated Node #0,3,2: 10:[24, 9] Operation: 7+2=9
Exploring Operation: 24-2=22, Resulting Numbers: [7, 22]
Generated Node #0,3,3: 10:[7, 22] Operation: 24-2=22
Exploring Operation: 24-7=17, Resulting Numbers: [2, 17]
Generated Node #0,3,4: 10:[2, 17] Operation: 24-7=17
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 10:[7, 12], Operations: ['34-32=2', '24/2=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,10 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 #0,3,4
Current State: 10:[2, 17], Operations: ['34-32=2', '24-7=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,10 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,10 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 #0,3,0
Current State: 10:[24, 5], Operations: ['34-32=2', '7-2=5']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,10 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,10 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 #0,3,3
Current State: 10:[7, 22], Operations: ['34-32=2', '24-2=22']
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,10 unequal: No Solution
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,10 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,10 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 #0,3,2
Current State: 10:[24, 9], Operations: ['34-32=2', '7+2=9']
Exploring Operation: 24*9=216, Resulting Numbers: [216]
216,10 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,10 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: 10:[7, 32, 10], Operations: ['34-24=10']
Exploring Operation: 7+10=17, Resulting Numbers: [32, 17]
Generated Node #0,4,0: 10:[32, 17] Operation: 7+10=17
Exploring Operation: 7+32=39, Resulting Numbers: [10, 39]
Generated Node #0,4,1: 10:[10, 39] Operation: 7+32=39
Exploring Operation: 32-10=22, Resulting Numbers: [7, 22]
Generated Node #0,4,2: 10:[7, 22] Operation: 32-10=22
Exploring Operation: 32-7=25, Resulting Numbers: [10, 25]
Generated Node #0,4,3: 10:[10, 25] Operation: 32-7=25
Exploring Operation: 10-7=3, Resulting Numbers: [32, 3]
Generated Node #0,4,4: 10:[32, 3] Operation: 10-7=3
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 10:[7, 22], Operations: ['34-24=10', '32-10=22']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,10 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,10 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 #0,4,3
Current State: 10:[10, 25], Operations: ['34-24=10', '32-7=25']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,10 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 #0,4,4
Current State: 10:[32, 3], Operations: ['34-24=10', '10-7=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,10 unequal: No Solution
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,10 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 #0,4,0
Current State: 10:[32, 17], Operations: ['34-24=10', '7+10=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,10 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 #0,4,1
Current State: 10:[10, 39], Operations: ['34-24=10', '7+32=39']
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,10 unequal: No Solution
Exploring Operation: 10*39=390, Resulting Numbers: [390]
390,10 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: 10:[7, 34, 8], Operations: ['32-24=8']
Exploring Operation: 7+34=41, Resulting Numbers: [8, 41]
Generated Node #0,2,0: 10:[8, 41] Operation: 7+34=41
Exploring Operation: 8-7=1, Resulting Numbers: [34, 1]
Generated Node #0,2,1: 10:[34, 1] Operation: 8-7=1
Exploring Operation: 34-7=27, Resulting Numbers: [8, 27]
Generated Node #0,2,2: 10:[8, 27] Operation: 34-7=27
Exploring Operation: 34-8=26, Resulting Numbers: [7, 26]
Generated Node #0,2,3: 10:[7, 26] Operation: 34-8=26
Exploring Operation: 7+8=15, Resulting Numbers: [34, 15]
Generated Node #0,2,4: 10:[34, 15] Operation: 7+8=15
Moving to Node #0,0
Current State: 10:[24, 32, 27], Operations: ['34-7=27']
Exploring Operation: 32-24=8, Resulting Numbers: [27, 8]
Generated Node #0,0,0: 10:[27, 8] Operation: 32-24=8
Exploring Operation: 32-27=5, Resulting Numbers: [24, 5]
Generated Node #0,0,1: 10:[24, 5] Operation: 32-27=5
Exploring Operation: 24+32=56, Resulting Numbers: [27, 56]
Generated Node #0,0,2: 10:[27, 56] Operation: 24+32=56
Exploring Operation: 27-24=3, Resulting Numbers: [32, 3]
Generated Node #0,0,3: 10:[32, 3] Operation: 27-24=3
Exploring Operation: 24+27=51, Resulting Numbers: [32, 51]
Generated Node #0,0,4: 10:[32, 51] Operation: 24+27=51
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[24, 5], Operations: ['34-7=27', '32-27=5']
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,10 unequal: No Solution
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,10 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,10 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 #0,0,0
Current State: 10:[27, 8], Operations: ['34-7=27', '32-24=8']
Exploring Operation: 27*8=216, Resulting Numbers: [216]
216,10 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,10 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 #0,0,3
Current State: 10:[32, 3], Operations: ['34-7=27', '27-24=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,10 unequal: No Solution
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,10 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 #0,0,2
Current State: 10:[27, 56], Operations: ['34-7=27', '24+32=56']
Exploring Operation: 27+56=83, Resulting Numbers: [83]
83,10 unequal: No Solution
Exploring Operation: 27*56=1512, Resulting Numbers: [1512]
1512,10 unequal: No Solution
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,10 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 #0,0,4
Current State: 10:[32, 51], Operations: ['34-7=27', '24+27=51']
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 32+51=83, Resulting Numbers: [83]
83,10 unequal: No Solution
Exploring Operation: 32*51=1632, Resulting Numbers: [1632]
1632,10 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: 10:[34, 32, 17], Operations: ['24-7=17']
Exploring Operation: 34-17=17, Resulting Numbers: [32, 17]
Generated Node #0,1,0: 10:[32, 17] Operation: 34-17=17
Exploring Operation: 34/17=2, Resulting Numbers: [32, 2]
Generated Node #0,1,1: 10:[32, 2] Operation: 34/17=2
Exploring Operation: 32-17=15, Resulting Numbers: [34, 15]
Generated Node #0,1,2: 10:[34, 15] Operation: 32-17=15
Exploring Operation: 34-32=2, Resulting Numbers: [17, 2]
Generated Node #0,1,3: 10:[17, 2] Operation: 34-32=2
Exploring Operation: 34+32=66, Resulting Numbers: [17, 66]
Generated Node #0,1,4: 10:[17, 66] Operation: 34+32=66
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 10:[17, 2], Operations: ['24-7=17', '34-32=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,10 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 #0,1,1
Current State: 10:[32, 2], Operations: ['24-7=17', '34/17=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,10 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,10 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,10 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 #0,1,0
Current State: 10:[32, 17], Operations: ['24-7=17', '34-17=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,10 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,10 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 #0,1,2
Current State: 10:[34, 15], Operations: ['24-7=17', '32-17=15']
Exploring Operation: 34*15=510, Resulting Numbers: [510]
510,10 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,10 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 #0,1,4
Current State: 10:[17, 66], Operations: ['24-7=17', '34+32=66']
Exploring Operation: 17+66=83, Resulting Numbers: [83]
83,10 unequal: No Solution
Exploring Operation: 17*66=1122, Resulting Numbers: [1122]
1122,10 unequal: No Solution
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 10:[7, 26], Operations: ['32-24=8', '34-8=26']
Exploring Operation: 7*26=182, Resulting Numbers: [182]
182,10 unequal: No Solution
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[8, 27], Operations: ['32-24=8', '34-7=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[34, 1], Operations: ['32-24=8', '8-7=1']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,10 unequal: No Solution
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,10 unequal: No Solution
Moving to Node #0,2,4
Current State: 10:[34, 15], Operations: ['32-24=8', '7+8=15']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 34*15=510, Resulting Numbers: [510]
510,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[8, 41], Operations: ['32-24=8', '7+34=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,10 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,10 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
27,
75,
28,
91
] | 71 | [
"75-27=48",
"28+91=119",
"119-48=71"
] | Current State: 71:[27, 75, 28, 91], Operations: []
Exploring Operation: 75-27=48, Resulting Numbers: [28, 91, 48]
Generated Node #2: [28, 91, 48] from Operation: 75-27=48
Current State: 71:[28, 91, 48], Operations: ['75-27=48']
Exploring Operation: 28+91=119, Resulting Numbers: [48, 119]
Generated Node #3: [48, 119] from Operation: 28+91=119
Current State: 71:[48, 119], Operations: ['75-27=48', '28+91=119']
Exploring Operation: 119-48=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[27, 75, 28, 91], Operations: []
Exploring Operation: 91-28=63, Resulting Numbers: [27, 75, 63]
Generated Node #0,0: 71:[27, 75, 63] Operation: 91-28=63
Exploring Operation: 91-27=64, Resulting Numbers: [75, 28, 64]
Generated Node #0,1: 71:[75, 28, 64] Operation: 91-27=64
Exploring Operation: 75-27=48, Resulting Numbers: [28, 91, 48]
Generated Node #0,2: 71:[28, 91, 48] Operation: 75-27=48
Exploring Operation: 27+28=55, Resulting Numbers: [75, 91, 55]
Generated Node #0,3: 71:[75, 91, 55] Operation: 27+28=55
Start Sub Search at level 1: Moving to Node #0,3
Current State: 71:[75, 91, 55], Operations: ['27+28=55']
Exploring Operation: 91-75=16, Resulting Numbers: [55, 16]
Generated Node #0,3,0: 71:[55, 16] Operation: 91-75=16
Exploring Operation: 75+55=130, Resulting Numbers: [91, 130]
Generated Node #0,3,1: 71:[91, 130] Operation: 75+55=130
Exploring Operation: 91-55=36, Resulting Numbers: [75, 36]
Generated Node #0,3,2: 71:[75, 36] Operation: 91-55=36
Exploring Operation: 75-55=20, Resulting Numbers: [91, 20]
Generated Node #0,3,3: 71:[91, 20] Operation: 75-55=20
Moving to Node #0,3,2
Current State: 71:[75, 36], Operations: ['27+28=55', '91-55=36']
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,71 unequal: No Solution
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,71 unequal: No Solution
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Moving to Node #0,3,3
Current State: 71:[91, 20], Operations: ['27+28=55', '75-55=20']
Exploring Operation: 91*20=1820, Resulting Numbers: [1820]
1820,71 unequal: No Solution
Exploring Operation: 91+20=111, Resulting Numbers: [111]
111,71 unequal: No Solution
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[27, 75, 28, 91], Operations: []
Exploring Operation: 27+28=55, Resulting Numbers: [75, 91, 55]
Generated Node #0,3: 71:[75, 91, 55] Operation: 27+28=55
Moving to Node #0,3
Current State: 71:[75, 91, 55], Operations: ['27+28=55']
Exploring Operation: 75-55=20, Resulting Numbers: [91, 20]
Generated Node #0,3,3: 71:[91, 20] Operation: 75-55=20
Moving to Node #0,3,3
Current State: 71:[91, 20], Operations: ['27+28=55', '75-55=20']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
12,
30,
29,
71
] | 24 | [
"30-12=18",
"71-29=42",
"42-18=24"
] | Current State: 24:[12, 30, 29, 71], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [29, 71, 18]
Generated Node #2: [29, 71, 18] from Operation: 30-12=18
Current State: 24:[29, 71, 18], Operations: ['30-12=18']
Exploring Operation: 71-29=42, Resulting Numbers: [18, 42]
Generated Node #3: [18, 42] from Operation: 71-29=42
Current State: 24:[18, 42], Operations: ['30-12=18', '71-29=42']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[12, 30, 29, 71], Operations: []
Exploring Operation: 71-29=42, Resulting Numbers: [12, 30, 42]
Generated Node #0,0: 24:[12, 30, 42] Operation: 71-29=42
Exploring Operation: 71-12=59, Resulting Numbers: [30, 29, 59]
Generated Node #0,1: 24:[30, 29, 59] Operation: 71-12=59
Exploring Operation: 30-29=1, Resulting Numbers: [12, 71, 1]
Generated Node #0,2: 24:[12, 71, 1] Operation: 30-29=1
Exploring Operation: 71-30=41, Resulting Numbers: [12, 29, 41]
Generated Node #0,3: 24:[12, 29, 41] Operation: 71-30=41
Moving to Node #0,3
Current State: 24:[12, 29, 41], Operations: ['71-30=41']
Exploring Operation: 12+29=41, Resulting Numbers: [41, 41]
Generated Node #0,3,0: 24:[41, 41] Operation: 12+29=41
Exploring Operation: 29-12=17, Resulting Numbers: [41, 17]
Generated Node #0,3,1: 24:[41, 17] Operation: 29-12=17
Exploring Operation: 41-29=12, Resulting Numbers: [12, 12]
Generated Node #0,3,2: 24:[12, 12] Operation: 41-29=12
Exploring Operation: 41-12=29, Resulting Numbers: [29, 29]
Generated Node #0,3,3: 24:[29, 29] Operation: 41-12=29
Moving to Node #0,0
Current State: 24:[12, 30, 42], Operations: ['71-29=42']
Exploring Operation: 42-12=30, Resulting Numbers: [30, 30]
Generated Node #0,0,0: 24:[30, 30] Operation: 42-12=30
Exploring Operation: 12+30=42, Resulting Numbers: [42, 42]
Generated Node #0,0,1: 24:[42, 42] Operation: 12+30=42
Exploring Operation: 30-12=18, Resulting Numbers: [42, 18]
Generated Node #0,0,2: 24:[42, 18] Operation: 30-12=18
Exploring Operation: 42-30=12, Resulting Numbers: [12, 12]
Generated Node #0,0,3: 24:[12, 12] Operation: 42-30=12
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 24:[12, 12], Operations: ['71-29=42', '42-30=12']
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,24 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[12, 30, 29, 71], Operations: []
Exploring Operation: 71-29=42, Resulting Numbers: [12, 30, 42]
Generated Node #0,0: 24:[12, 30, 42] Operation: 71-29=42
Moving to Node #0,0
Current State: 24:[12, 30, 42], Operations: ['71-29=42']
Exploring Operation: 42-30=12, Resulting Numbers: [12, 12]
Generated Node #0,0,3: 24:[12, 12] Operation: 42-30=12
Moving to Node #0,0,3
Current State: 24:[12, 12], Operations: ['71-29=42', '42-30=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
22,
16,
9,
51
] | 22 | [
"22+16=38",
"9+51=60",
"60-38=22"
] | Current State: 22:[22, 16, 9, 51], Operations: []
Exploring Operation: 22+16=38, Resulting Numbers: [9, 51, 38]
Generated Node #2: [9, 51, 38] from Operation: 22+16=38
Current State: 22:[9, 51, 38], Operations: ['22+16=38']
Exploring Operation: 9+51=60, Resulting Numbers: [38, 60]
Generated Node #3: [38, 60] from Operation: 9+51=60
Current State: 22:[38, 60], Operations: ['22+16=38', '9+51=60']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[22, 16, 9, 51], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [16, 9, 29]
Generated Node #0,0: 22:[16, 9, 29] Operation: 51-22=29
Exploring Operation: 51-16=35, Resulting Numbers: [22, 9, 35]
Generated Node #0,1: 22:[22, 9, 35] Operation: 51-16=35
Moving to Node #0,0
Current State: 22:[16, 9, 29], Operations: ['51-22=29']
Exploring Operation: 29-16=13, Resulting Numbers: [9, 13]
Generated Node #0,0,0: 22:[9, 13] Operation: 29-16=13
Exploring Operation: 29-9=20, Resulting Numbers: [16, 20]
Generated Node #0,0,1: 22:[16, 20] Operation: 29-9=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[9, 13], Operations: ['51-22=29', '29-16=13']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[22, 16, 9, 51], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [16, 9, 29]
Generated Node #0,0: 22:[16, 9, 29] Operation: 51-22=29
Moving to Node #0,0
Current State: 22:[16, 9, 29], Operations: ['51-22=29']
Exploring Operation: 29-16=13, Resulting Numbers: [9, 13]
Generated Node #0,0,0: 22:[9, 13] Operation: 29-16=13
Moving to Node #0,0,0
Current State: 22:[9, 13], Operations: ['51-22=29', '29-16=13']
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
18,
28,
35,
33
] | 38 | [
"35-33=2",
"28*2=56",
"56-18=38"
] | Current State: 38:[18, 28, 35, 33], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [18, 28, 2]
Generated Node #2: [18, 28, 2] from Operation: 35-33=2
Current State: 38:[18, 28, 2], Operations: ['35-33=2']
Exploring Operation: 28*2=56, Resulting Numbers: [18, 56]
Generated Node #3: [18, 56] from Operation: 28*2=56
Current State: 38:[18, 56], Operations: ['35-33=2', '28*2=56']
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[18, 28, 35, 33], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [18, 33, 7]
Generated Node #0,0: 38:[18, 33, 7] Operation: 35-28=7
Exploring Operation: 18+28=46, Resulting Numbers: [35, 33, 46]
Generated Node #0,1: 38:[35, 33, 46] Operation: 18+28=46
Exploring Operation: 33-28=5, Resulting Numbers: [18, 35, 5]
Generated Node #0,2: 38:[18, 35, 5] Operation: 33-28=5
Exploring Operation: 35-33=2, Resulting Numbers: [18, 28, 2]
Generated Node #0,3: 38:[18, 28, 2] Operation: 35-33=2
Exploring Operation: 28-18=10, Resulting Numbers: [35, 33, 10]
Generated Node #0,4: 38:[35, 33, 10] Operation: 28-18=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[18, 35, 5], Operations: ['33-28=5']
Exploring Operation: 35+5=40, Resulting Numbers: [18, 40]
Generated Node #0,2,0: 38:[18, 40] Operation: 35+5=40
Exploring Operation: 35-18=17, Resulting Numbers: [5, 17]
Generated Node #0,2,1: 38:[5, 17] Operation: 35-18=17
Exploring Operation: 18-5=13, Resulting Numbers: [35, 13]
Generated Node #0,2,2: 38:[35, 13] Operation: 18-5=13
Exploring Operation: 35/5=7, Resulting Numbers: [18, 7]
Generated Node #0,2,3: 38:[18, 7] Operation: 35/5=7
Exploring Operation: 18+5=23, Resulting Numbers: [35, 23]
Generated Node #0,2,4: 38:[35, 23] Operation: 18+5=23
Moving to Node #0,2,0
Current State: 38:[18, 40], Operations: ['33-28=5', '35+5=40']
Exploring Operation: 18+40=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 18*40=720, Resulting Numbers: [720]
720,38 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[5, 17], Operations: ['33-28=5', '35-18=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,38 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Moving to Node #0,2,3
Current State: 38:[18, 7], Operations: ['33-28=5', '35/5=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,38 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Moving to Node #0,2,4
Current State: 38:[35, 23], Operations: ['33-28=5', '18+5=23']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 35*23=805, Resulting Numbers: [805]
805,38 unequal: No Solution
Exploring Operation: 35+23=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[35, 13], Operations: ['33-28=5', '18-5=13']
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 35+13=48, Resulting Numbers: [48]
48,38 unequal: No Solution
Exploring Operation: 35*13=455, Resulting Numbers: [455]
455,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[18, 28, 2], Operations: ['35-33=2']
Exploring Operation: 28-18=10, Resulting Numbers: [2, 10]
Generated Node #0,3,0: 38:[2, 10] Operation: 28-18=10
Exploring Operation: 28+2=30, Resulting Numbers: [18, 30]
Generated Node #0,3,1: 38:[18, 30] Operation: 28+2=30
Exploring Operation: 28/2=14, Resulting Numbers: [18, 14]
Generated Node #0,3,2: 38:[18, 14] Operation: 28/2=14
Exploring Operation: 28-2=26, Resulting Numbers: [18, 26]
Generated Node #0,3,3: 38:[18, 26] Operation: 28-2=26
Exploring Operation: 18+28=46, Resulting Numbers: [2, 46]
Generated Node #0,3,4: 38:[2, 46] Operation: 18+28=46
Moving to Node #0,3,2
Current State: 38:[18, 14], Operations: ['35-33=2', '28/2=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[18, 26], Operations: ['35-33=2', '28-2=26']
Exploring Operation: 18*26=468, Resulting Numbers: [468]
468,38 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Moving to Node #0,3,0
Current State: 38:[2, 10], Operations: ['35-33=2', '28-18=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Moving to Node #0,3,4
Current State: 38:[2, 46], Operations: ['35-33=2', '18+28=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,38 unequal: No Solution
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,38 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Moving to Node #0,3,1
Current State: 38:[18, 30], Operations: ['35-33=2', '28+2=30']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,38 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[18, 33, 7], Operations: ['35-28=7']
Exploring Operation: 18-7=11, Resulting Numbers: [33, 11]
Generated Node #0,0,0: 38:[33, 11] Operation: 18-7=11
Exploring Operation: 18+7=25, Resulting Numbers: [33, 25]
Generated Node #0,0,1: 38:[33, 25] Operation: 18+7=25
Exploring Operation: 33+7=40, Resulting Numbers: [18, 40]
Generated Node #0,0,2: 38:[18, 40] Operation: 33+7=40
Exploring Operation: 33-7=26, Resulting Numbers: [18, 26]
Generated Node #0,0,3: 38:[18, 26] Operation: 33-7=26
Exploring Operation: 33-18=15, Resulting Numbers: [7, 15]
Generated Node #0,0,4: 38:[7, 15] Operation: 33-18=15
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 38:[18, 40], Operations: ['35-28=7', '33+7=40']
Exploring Operation: 18+40=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 18*40=720, Resulting Numbers: [720]
720,38 unequal: No Solution
No 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: 38:[18, 26], Operations: ['35-28=7', '33-7=26']
Exploring Operation: 18*26=468, Resulting Numbers: [468]
468,38 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,38 unequal: No Solution
No 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: 38:[7, 15], Operations: ['35-28=7', '33-18=15']
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 7*15=105, Resulting Numbers: [105]
105,38 unequal: No Solution
No 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: 38:[33, 25], Operations: ['35-28=7', '18+7=25']
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,38 unequal: No Solution
No 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: 38:[33, 11], Operations: ['35-28=7', '18-7=11']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 33*11=363, Resulting Numbers: [363]
363,38 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: 38:[35, 33, 46], Operations: ['18+28=46']
Exploring Operation: 35+33=68, Resulting Numbers: [46, 68]
Generated Node #0,1,0: 38:[46, 68] Operation: 35+33=68
Exploring Operation: 46-35=11, Resulting Numbers: [33, 11]
Generated Node #0,1,1: 38:[33, 11] Operation: 46-35=11
Exploring Operation: 33+46=79, Resulting Numbers: [35, 79]
Generated Node #0,1,2: 38:[35, 79] Operation: 33+46=79
Exploring Operation: 46-33=13, Resulting Numbers: [35, 13]
Generated Node #0,1,3: 38:[35, 13] Operation: 46-33=13
Exploring Operation: 35-33=2, Resulting Numbers: [46, 2]
Generated Node #0,1,4: 38:[46, 2] Operation: 35-33=2
Moving to Node #0,1,4
Current State: 38:[46, 2], Operations: ['18+28=46', '35-33=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,38 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,38 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[35, 13], Operations: ['18+28=46', '46-33=13']
Exploring Operation: 35*13=455, Resulting Numbers: [455]
455,38 unequal: No Solution
Exploring Operation: 35+13=48, Resulting Numbers: [48]
48,38 unequal: No Solution
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[33, 11], Operations: ['18+28=46', '46-35=11']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 33*11=363, Resulting Numbers: [363]
363,38 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[46, 68], Operations: ['18+28=46', '35+33=68']
Exploring Operation: 46+68=114, Resulting Numbers: [114]
114,38 unequal: No Solution
Exploring Operation: 46*68=3128, Resulting Numbers: [3128]
3128,38 unequal: No Solution
Exploring Operation: 68-46=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[35, 79], Operations: ['18+28=46', '33+46=79']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 35+79=114, Resulting Numbers: [114]
114,38 unequal: No Solution
Exploring Operation: 35*79=2765, Resulting Numbers: [2765]
2765,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 38:[35, 33, 10], Operations: ['28-18=10']
Exploring Operation: 33+10=43, Resulting Numbers: [35, 43]
Generated Node #0,4,0: 38:[35, 43] Operation: 33+10=43
Exploring Operation: 35-33=2, Resulting Numbers: [10, 2]
Generated Node #0,4,1: 38:[10, 2] Operation: 35-33=2
Exploring Operation: 33-10=23, Resulting Numbers: [35, 23]
Generated Node #0,4,2: 38:[35, 23] Operation: 33-10=23
Exploring Operation: 35+10=45, Resulting Numbers: [33, 45]
Generated Node #0,4,3: 38:[33, 45] Operation: 35+10=45
Exploring Operation: 35-10=25, Resulting Numbers: [33, 25]
Generated Node #0,4,4: 38:[33, 25] Operation: 35-10=25
Moving to Node #0,4,2
Current State: 38:[35, 23], Operations: ['28-18=10', '33-10=23']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 35*23=805, Resulting Numbers: [805]
805,38 unequal: No Solution
Exploring Operation: 35+23=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Moving to Node #0,4,1
Current State: 38:[10, 2], Operations: ['28-18=10', '35-33=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Moving to Node #0,4,0
Current State: 38:[35, 43], Operations: ['28-18=10', '33+10=43']
Exploring Operation: 35*43=1505, Resulting Numbers: [1505]
1505,38 unequal: No Solution
Exploring Operation: 35+43=78, Resulting Numbers: [78]
78,38 unequal: No Solution
Exploring Operation: 43-35=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Moving to Node #0,4,4
Current State: 38:[33, 25], Operations: ['28-18=10', '35-10=25']
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,38 unequal: No Solution
Moving to Node #0,4,3
Current State: 38:[33, 45], Operations: ['28-18=10', '35+10=45']
Exploring Operation: 33+45=78, Resulting Numbers: [78]
78,38 unequal: No Solution
Exploring Operation: 33*45=1485, Resulting Numbers: [1485]
1485,38 unequal: No Solution
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,38 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 |
[
28,
53,
18,
79
] | 86 | [
"53-28=25",
"79-18=61",
"25+61=86"
] | Current State: 86:[28, 53, 18, 79], Operations: []
Exploring Operation: 53-28=25, Resulting Numbers: [18, 79, 25]
Generated Node #2: [18, 79, 25] from Operation: 53-28=25
Current State: 86:[18, 79, 25], Operations: ['53-28=25']
Exploring Operation: 79-18=61, Resulting Numbers: [25, 61]
Generated Node #3: [25, 61] from Operation: 79-18=61
Current State: 86:[25, 61], Operations: ['53-28=25', '79-18=61']
Exploring Operation: 25+61=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[28, 53, 18, 79], Operations: []
Exploring Operation: 28+18=46, Resulting Numbers: [53, 79, 46]
Generated Node #0,0: 86:[53, 79, 46] Operation: 28+18=46
Exploring Operation: 28-18=10, Resulting Numbers: [53, 79, 10]
Generated Node #0,1: 86:[53, 79, 10] Operation: 28-18=10
Exploring Operation: 28+53=81, Resulting Numbers: [18, 79, 81]
Generated Node #0,2: 86:[18, 79, 81] Operation: 28+53=81
Exploring Operation: 53-18=35, Resulting Numbers: [28, 79, 35]
Generated Node #0,3: 86:[28, 79, 35] Operation: 53-18=35
Moving to Node #0,0
Current State: 86:[53, 79, 46], Operations: ['28+18=46']
Exploring Operation: 79-46=33, Resulting Numbers: [53, 33]
Generated Node #0,0,0: 86:[53, 33] Operation: 79-46=33
Exploring Operation: 79-53=26, Resulting Numbers: [46, 26]
Generated Node #0,0,1: 86:[46, 26] Operation: 79-53=26
Exploring Operation: 53-46=7, Resulting Numbers: [79, 7]
Generated Node #0,0,2: 86:[79, 7] Operation: 53-46=7
Exploring Operation: 53+46=99, Resulting Numbers: [79, 99]
Generated Node #0,0,3: 86:[79, 99] Operation: 53+46=99
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[79, 7], Operations: ['28+18=46', '53-46=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,86 unequal: No Solution
Exploring Operation: 79*7=553, Resulting Numbers: [553]
553,86 unequal: No Solution
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[28, 53, 18, 79], Operations: []
Exploring Operation: 28+18=46, Resulting Numbers: [53, 79, 46]
Generated Node #0,0: 86:[53, 79, 46] Operation: 28+18=46
Moving to Node #0,0
Current State: 86:[53, 79, 46], Operations: ['28+18=46']
Exploring Operation: 53-46=7, Resulting Numbers: [79, 7]
Generated Node #0,0,2: 86:[79, 7] Operation: 53-46=7
Moving to Node #0,0,2
Current State: 86:[79, 7], Operations: ['28+18=46', '53-46=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
93,
59,
20,
87
] | 73 | [
"93-59=34",
"20+87=107",
"107-34=73"
] | Current State: 73:[93, 59, 20, 87], Operations: []
Exploring Operation: 93-59=34, Resulting Numbers: [20, 87, 34]
Generated Node #2: [20, 87, 34] from Operation: 93-59=34
Current State: 73:[20, 87, 34], Operations: ['93-59=34']
Exploring Operation: 20+87=107, Resulting Numbers: [34, 107]
Generated Node #3: [34, 107] from Operation: 20+87=107
Current State: 73:[34, 107], Operations: ['93-59=34', '20+87=107']
Exploring Operation: 107-34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[93, 59, 20, 87], Operations: []
Exploring Operation: 93-20=73, Resulting Numbers: [59, 87, 73]
Generated Node #0,0: 73:[59, 87, 73] Operation: 93-20=73
Exploring Operation: 87-20=67, Resulting Numbers: [93, 59, 67]
Generated Node #0,1: 73:[93, 59, 67] Operation: 87-20=67
Exploring Operation: 93+20=113, Resulting Numbers: [59, 87, 113]
Generated Node #0,2: 73:[59, 87, 113] Operation: 93+20=113
Exploring Operation: 59+20=79, Resulting Numbers: [93, 87, 79]
Generated Node #0,3: 73:[93, 87, 79] Operation: 59+20=79
Exploring Operation: 59-20=39, Resulting Numbers: [93, 87, 39]
Generated Node #0,4: 73:[93, 87, 39] Operation: 59-20=39
Moving to Node #0,0
Current State: 73:[59, 87, 73], Operations: ['93-20=73']
Exploring Operation: 73-59=14, Resulting Numbers: [87, 14]
Generated Node #0,0,0: 73:[87, 14] Operation: 73-59=14
Exploring Operation: 59+73=132, Resulting Numbers: [87, 132]
Generated Node #0,0,1: 73:[87, 132] Operation: 59+73=132
Exploring Operation: 87-59=28, Resulting Numbers: [73, 28]
Generated Node #0,0,2: 73:[73, 28] Operation: 87-59=28
Exploring Operation: 87-73=14, Resulting Numbers: [59, 14]
Generated Node #0,0,3: 73:[59, 14] Operation: 87-73=14
Exploring Operation: 59+87=146, Resulting Numbers: [73, 146]
Generated Node #0,0,4: 73:[73, 146] Operation: 59+87=146
Moving to Node #0,3
Current State: 73:[93, 87, 79], Operations: ['59+20=79']
Exploring Operation: 87-79=8, Resulting Numbers: [93, 8]
Generated Node #0,3,0: 73:[93, 8] Operation: 87-79=8
Exploring Operation: 93+79=172, Resulting Numbers: [87, 172]
Generated Node #0,3,1: 73:[87, 172] Operation: 93+79=172
Exploring Operation: 93+87=180, Resulting Numbers: [79, 180]
Generated Node #0,3,2: 73:[79, 180] Operation: 93+87=180
Exploring Operation: 93-87=6, Resulting Numbers: [79, 6]
Generated Node #0,3,3: 73:[79, 6] Operation: 93-87=6
Exploring Operation: 93-79=14, Resulting Numbers: [87, 14]
Generated Node #0,3,4: 73:[87, 14] Operation: 93-79=14
Moving to Node #0,1
Current State: 73:[93, 59, 67], Operations: ['87-20=67']
Exploring Operation: 93-59=34, Resulting Numbers: [67, 34]
Generated Node #0,1,0: 73:[67, 34] Operation: 93-59=34
Exploring Operation: 93-67=26, Resulting Numbers: [59, 26]
Generated Node #0,1,1: 73:[59, 26] Operation: 93-67=26
Exploring Operation: 67-59=8, Resulting Numbers: [93, 8]
Generated Node #0,1,2: 73:[93, 8] Operation: 67-59=8
Exploring Operation: 59+67=126, Resulting Numbers: [93, 126]
Generated Node #0,1,3: 73:[93, 126] Operation: 59+67=126
Exploring Operation: 93+59=152, Resulting Numbers: [67, 152]
Generated Node #0,1,4: 73:[67, 152] Operation: 93+59=152
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[67, 34], Operations: ['87-20=67', '93-59=34']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 67+34=101, Resulting Numbers: [101]
101,73 unequal: No Solution
Exploring Operation: 67*34=2278, Resulting Numbers: [2278]
2278,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[59, 26], Operations: ['87-20=67', '93-67=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,73 unequal: No Solution
Exploring Operation: 59*26=1534, Resulting Numbers: [1534]
1534,73 unequal: No Solution
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 73:[93, 126], Operations: ['87-20=67', '59+67=126']
Exploring Operation: 126-93=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 93*126=11718, Resulting Numbers: [11718]
11718,73 unequal: No Solution
Exploring Operation: 93+126=219, Resulting Numbers: [219]
219,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[93, 8], Operations: ['87-20=67', '67-59=8']
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,73 unequal: No Solution
Exploring Operation: 93*8=744, Resulting Numbers: [744]
744,73 unequal: No Solution
Exploring Operation: 93+8=101, Resulting Numbers: [101]
101,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 73:[67, 152], Operations: ['87-20=67', '93+59=152']
Exploring Operation: 67*152=10184, Resulting Numbers: [10184]
10184,73 unequal: No Solution
Exploring Operation: 67+152=219, Resulting Numbers: [219]
219,73 unequal: No Solution
Exploring Operation: 152-67=85, Resulting Numbers: [85]
85,73 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: 73:[59, 87, 113], Operations: ['93+20=113']
Exploring Operation: 113-87=26, Resulting Numbers: [59, 26]
Generated Node #0,2,0: 73:[59, 26] Operation: 113-87=26
Exploring Operation: 59+87=146, Resulting Numbers: [113, 146]
Generated Node #0,2,1: 73:[113, 146] Operation: 59+87=146
Exploring Operation: 59+113=172, Resulting Numbers: [87, 172]
Generated Node #0,2,2: 73:[87, 172] Operation: 59+113=172
Exploring Operation: 113-59=54, Resulting Numbers: [87, 54]
Generated Node #0,2,3: 73:[87, 54] Operation: 113-59=54
Exploring Operation: 87-59=28, Resulting Numbers: [113, 28]
Generated Node #0,2,4: 73:[113, 28] Operation: 87-59=28
Moving to Node #0,4
Current State: 73:[93, 87, 39], Operations: ['59-20=39']
Exploring Operation: 87-39=48, Resulting Numbers: [93, 48]
Generated Node #0,4,0: 73:[93, 48] Operation: 87-39=48
Exploring Operation: 93+39=132, Resulting Numbers: [87, 132]
Generated Node #0,4,1: 73:[87, 132] Operation: 93+39=132
Exploring Operation: 93-39=54, Resulting Numbers: [87, 54]
Generated Node #0,4,2: 73:[87, 54] Operation: 93-39=54
Exploring Operation: 93-87=6, Resulting Numbers: [39, 6]
Generated Node #0,4,3: 73:[39, 6] Operation: 93-87=6
Exploring Operation: 87+39=126, Resulting Numbers: [93, 126]
Generated Node #0,4,4: 73:[93, 126] Operation: 87+39=126
Moving to Node #0,2,3
Current State: 73:[87, 54], Operations: ['93+20=113', '113-59=54']
Exploring Operation: 87-54=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 87*54=4698, Resulting Numbers: [4698]
4698,73 unequal: No Solution
Exploring Operation: 87+54=141, Resulting Numbers: [141]
141,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[87, 54], Operations: ['59-20=39', '93-39=54']
Exploring Operation: 87*54=4698, Resulting Numbers: [4698]
4698,73 unequal: No Solution
Exploring Operation: 87+54=141, Resulting Numbers: [141]
141,73 unequal: No Solution
Exploring Operation: 87-54=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[73, 28], Operations: ['93-20=73', '87-59=28']
Exploring Operation: 73+28=101, Resulting Numbers: [101]
101,73 unequal: No Solution
Exploring Operation: 73*28=2044, Resulting Numbers: [2044]
2044,73 unequal: No Solution
Exploring Operation: 73-28=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[93, 48], Operations: ['59-20=39', '87-39=48']
Exploring Operation: 93*48=4464, Resulting Numbers: [4464]
4464,73 unequal: No Solution
Exploring Operation: 93+48=141, Resulting Numbers: [141]
141,73 unequal: No Solution
Exploring Operation: 93-48=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[59, 26], Operations: ['93+20=113', '113-87=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,73 unequal: No Solution
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 59*26=1534, Resulting Numbers: [1534]
1534,73 unequal: No Solution
Moving to Node #0,3,4
Current State: 73:[87, 14], Operations: ['59+20=79', '93-79=14']
Exploring Operation: 87+14=101, Resulting Numbers: [101]
101,73 unequal: No Solution
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[93, 59, 20, 87], Operations: []
Exploring Operation: 59+20=79, Resulting Numbers: [93, 87, 79]
Generated Node #0,3: 73:[93, 87, 79] Operation: 59+20=79
Moving to Node #0,3
Current State: 73:[93, 87, 79], Operations: ['59+20=79']
Exploring Operation: 93-79=14, Resulting Numbers: [87, 14]
Generated Node #0,3,4: 73:[87, 14] Operation: 93-79=14
Moving to Node #0,3,4
Current State: 73:[87, 14], Operations: ['59+20=79', '93-79=14']
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 0.942708 | hs_5 | mult_heuristic |
[
27,
10,
11,
77
] | 97 | [
"10*77=770",
"770/11=70",
"27+70=97"
] | Current State: 97:[27, 10, 11, 77], Operations: []
Exploring Operation: 10*77=770, Resulting Numbers: [27, 11, 770]
Generated Node #2: [27, 11, 770] from Operation: 10*77=770
Current State: 97:[27, 11, 770], Operations: ['10*77=770']
Exploring Operation: 770/11=70, Resulting Numbers: [27, 70]
Generated Node #3: [27, 70] from Operation: 770/11=70
Current State: 97:[27, 70], Operations: ['10*77=770', '770/11=70']
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[27, 10, 11, 77], Operations: []
Exploring Operation: 10*11=110, Resulting Numbers: [27, 77, 110]
Generated Node #0,0: 97:[27, 77, 110] Operation: 10*11=110
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[27, 77, 110], Operations: ['10*11=110']
Exploring Operation: 27+77=104, Resulting Numbers: [110, 104]
Generated Node #0,0,0: 97:[110, 104] Operation: 27+77=104
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[110, 104], Operations: ['10*11=110', '27+77=104']
Exploring Operation: 110-104=6, Resulting Numbers: [6]
6,97 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 |
[
38,
18,
9,
67
] | 57 | [
"38+67=105",
"18*9=162",
"162-105=57"
] | Current State: 57:[38, 18, 9, 67], Operations: []
Exploring Operation: 38+67=105, Resulting Numbers: [18, 9, 105]
Generated Node #2: [18, 9, 105] from Operation: 38+67=105
Current State: 57:[18, 9, 105], Operations: ['38+67=105']
Exploring Operation: 18*9=162, Resulting Numbers: [105, 162]
Generated Node #3: [105, 162] from Operation: 18*9=162
Current State: 57:[105, 162], Operations: ['38+67=105', '18*9=162']
Exploring Operation: 162-105=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[38, 18, 9, 67], Operations: []
Exploring Operation: 38+18=56, Resulting Numbers: [9, 67, 56]
Generated Node #0,0: 57:[9, 67, 56] Operation: 38+18=56
Moving to Node #0,0
Current State: 57:[9, 67, 56], Operations: ['38+18=56']
Exploring Operation: 67-9=58, Resulting Numbers: [56, 58]
Generated Node #0,0,0: 57:[56, 58] Operation: 67-9=58
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[56, 58], Operations: ['38+18=56', '67-9=58']
Exploring Operation: 58-56=2, Resulting Numbers: [2]
2,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
93,
33,
74,
15
] | 29 | [
"93-33=60",
"74+15=89",
"89-60=29"
] | Current State: 29:[93, 33, 74, 15], Operations: []
Exploring Operation: 93-33=60, Resulting Numbers: [74, 15, 60]
Generated Node #2: [74, 15, 60] from Operation: 93-33=60
Current State: 29:[74, 15, 60], Operations: ['93-33=60']
Exploring Operation: 74+15=89, Resulting Numbers: [60, 89]
Generated Node #3: [60, 89] from Operation: 74+15=89
Current State: 29:[60, 89], Operations: ['93-33=60', '74+15=89']
Exploring Operation: 89-60=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[93, 33, 74, 15], Operations: []
Exploring Operation: 93-74=19, Resulting Numbers: [33, 15, 19]
Generated Node #0,0: 29:[33, 15, 19] Operation: 93-74=19
Exploring Operation: 93-33=60, Resulting Numbers: [74, 15, 60]
Generated Node #0,1: 29:[74, 15, 60] Operation: 93-33=60
Moving to Node #0,0
Current State: 29:[33, 15, 19], Operations: ['93-74=19']
Exploring Operation: 15+19=34, Resulting Numbers: [33, 34]
Generated Node #0,0,0: 29:[33, 34] Operation: 15+19=34
Exploring Operation: 33-15=18, Resulting Numbers: [19, 18]
Generated Node #0,0,1: 29:[19, 18] Operation: 33-15=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[33, 34], Operations: ['93-74=19', '15+19=34']
Exploring Operation: 33+34=67, Resulting Numbers: [67]
67,29 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[19, 18], Operations: ['93-74=19', '33-15=18']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 29:[74, 15, 60], Operations: ['93-33=60']
Exploring Operation: 74-15=59, Resulting Numbers: [60, 59]
Generated Node #0,1,0: 29:[60, 59] Operation: 74-15=59
Exploring Operation: 74-60=14, Resulting Numbers: [15, 14]
Generated Node #0,1,1: 29:[15, 14] Operation: 74-60=14
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[15, 14], Operations: ['93-33=60', '74-60=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[93, 33, 74, 15], Operations: []
Exploring Operation: 93-33=60, Resulting Numbers: [74, 15, 60]
Generated Node #0,1: 29:[74, 15, 60] Operation: 93-33=60
Moving to Node #0,1
Current State: 29:[74, 15, 60], Operations: ['93-33=60']
Exploring Operation: 74-60=14, Resulting Numbers: [15, 14]
Generated Node #0,1,1: 29:[15, 14] Operation: 74-60=14
Moving to Node #0,1,1
Current State: 29:[15, 14], Operations: ['93-33=60', '74-60=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
39,
1,
60,
34
] | 65 | [
"39*1=39",
"60-34=26",
"39+26=65"
] | Current State: 65:[39, 1, 60, 34], Operations: []
Exploring Operation: 39*1=39, Resulting Numbers: [60, 34, 39]
Generated Node #2: [60, 34, 39] from Operation: 39*1=39
Current State: 65:[60, 34, 39], Operations: ['39*1=39']
Exploring Operation: 60-34=26, Resulting Numbers: [39, 26]
Generated Node #3: [39, 26] from Operation: 60-34=26
Current State: 65:[39, 26], Operations: ['39*1=39', '60-34=26']
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[39, 1, 60, 34], Operations: []
Exploring Operation: 39-34=5, Resulting Numbers: [1, 60, 5]
Generated Node #0,0: 65:[1, 60, 5] Operation: 39-34=5
Exploring Operation: 39+34=73, Resulting Numbers: [1, 60, 73]
Generated Node #0,1: 65:[1, 60, 73] Operation: 39+34=73
Exploring Operation: 60-34=26, Resulting Numbers: [39, 1, 26]
Generated Node #0,2: 65:[39, 1, 26] Operation: 60-34=26
Exploring Operation: 60-39=21, Resulting Numbers: [1, 34, 21]
Generated Node #0,3: 65:[1, 34, 21] Operation: 60-39=21
Moving to Node #0,0
Current State: 65:[1, 60, 5], Operations: ['39-34=5']
Exploring Operation: 60/1=60, Resulting Numbers: [5, 60]
Generated Node #0,0,0: 65:[5, 60] Operation: 60/1=60
Exploring Operation: 1+60=61, Resulting Numbers: [5, 61]
Generated Node #0,0,1: 65:[5, 61] Operation: 1+60=61
Exploring Operation: 60+5=65, Resulting Numbers: [1, 65]
Generated Node #0,0,2: 65:[1, 65] Operation: 60+5=65
Exploring Operation: 1*60=60, Resulting Numbers: [5, 60]
Generated Node #0,0,3: 65:[5, 60] Operation: 1*60=60
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 65:[5, 61], Operations: ['39-34=5', '1+60=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,65 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 65:[1, 65], Operations: ['39-34=5', '60+5=65']
Exploring Operation: 1+65=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[39, 1, 60, 34], Operations: []
Exploring Operation: 39-34=5, Resulting Numbers: [1, 60, 5]
Generated Node #0,0: 65:[1, 60, 5] Operation: 39-34=5
Moving to Node #0,0
Current State: 65:[1, 60, 5], Operations: ['39-34=5']
Exploring Operation: 60+5=65, Resulting Numbers: [1, 65]
Generated Node #0,0,2: 65:[1, 65] Operation: 60+5=65
Moving to Node #0,0,2
Current State: 65:[1, 65], Operations: ['39-34=5', '60+5=65']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
39,
32,
67,
92
] | 46 | [
"39+32=71",
"92-67=25",
"71-25=46"
] | Current State: 46:[39, 32, 67, 92], Operations: []
Exploring Operation: 39+32=71, Resulting Numbers: [67, 92, 71]
Generated Node #2: [67, 92, 71] from Operation: 39+32=71
Current State: 46:[67, 92, 71], Operations: ['39+32=71']
Exploring Operation: 92-67=25, Resulting Numbers: [71, 25]
Generated Node #3: [71, 25] from Operation: 92-67=25
Current State: 46:[71, 25], Operations: ['39+32=71', '92-67=25']
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[39, 32, 67, 92], Operations: []
Exploring Operation: 92-39=53, Resulting Numbers: [32, 67, 53]
Generated Node #0,0: 46:[32, 67, 53] Operation: 92-39=53
Exploring Operation: 92-32=60, Resulting Numbers: [39, 67, 60]
Generated Node #0,1: 46:[39, 67, 60] Operation: 92-32=60
Exploring Operation: 67-39=28, Resulting Numbers: [32, 92, 28]
Generated Node #0,2: 46:[32, 92, 28] Operation: 67-39=28
Exploring Operation: 92-67=25, Resulting Numbers: [39, 32, 25]
Generated Node #0,3: 46:[39, 32, 25] Operation: 92-67=25
Moving to Node #0,3
Current State: 46:[39, 32, 25], Operations: ['92-67=25']
Exploring Operation: 39-25=14, Resulting Numbers: [32, 14]
Generated Node #0,3,0: 46:[32, 14] Operation: 39-25=14
Exploring Operation: 32+25=57, Resulting Numbers: [39, 57]
Generated Node #0,3,1: 46:[39, 57] Operation: 32+25=57
Exploring Operation: 32-25=7, Resulting Numbers: [39, 7]
Generated Node #0,3,2: 46:[39, 7] Operation: 32-25=7
Exploring Operation: 39-32=7, Resulting Numbers: [25, 7]
Generated Node #0,3,3: 46:[25, 7] Operation: 39-32=7
Moving to Node #0,0
Current State: 46:[32, 67, 53], Operations: ['92-39=53']
Exploring Operation: 53-32=21, Resulting Numbers: [67, 21]
Generated Node #0,0,0: 46:[67, 21] Operation: 53-32=21
Exploring Operation: 67-32=35, Resulting Numbers: [53, 35]
Generated Node #0,0,1: 46:[53, 35] Operation: 67-32=35
Exploring Operation: 67-53=14, Resulting Numbers: [32, 14]
Generated Node #0,0,2: 46:[32, 14] Operation: 67-53=14
Exploring Operation: 32+67=99, Resulting Numbers: [53, 99]
Generated Node #0,0,3: 46:[53, 99] Operation: 32+67=99
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[53, 35], Operations: ['92-39=53', '67-32=35']
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 53*35=1855, Resulting Numbers: [1855]
1855,46 unequal: No Solution
Exploring Operation: 53+35=88, Resulting Numbers: [88]
88,46 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 #0,0,2
Current State: 46:[32, 14], Operations: ['92-39=53', '67-53=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[39, 32, 67, 92], Operations: []
Exploring Operation: 92-39=53, Resulting Numbers: [32, 67, 53]
Generated Node #0,0: 46:[32, 67, 53] Operation: 92-39=53
Moving to Node #0,0
Current State: 46:[32, 67, 53], Operations: ['92-39=53']
Exploring Operation: 67-53=14, Resulting Numbers: [32, 14]
Generated Node #0,0,2: 46:[32, 14] Operation: 67-53=14
Moving to Node #0,0,2
Current State: 46:[32, 14], Operations: ['92-39=53', '67-53=14']
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
19,
67,
40,
9
] | 10 | [
"19*40=760",
"67+9=76",
"760/76=10"
] | Current State: 10:[19, 67, 40, 9], Operations: []
Exploring Operation: 19*40=760, Resulting Numbers: [67, 9, 760]
Generated Node #2: [67, 9, 760] from Operation: 19*40=760
Current State: 10:[67, 9, 760], Operations: ['19*40=760']
Exploring Operation: 67+9=76, Resulting Numbers: [760, 76]
Generated Node #3: [760, 76] from Operation: 67+9=76
Current State: 10:[760, 76], Operations: ['19*40=760', '67+9=76']
Exploring Operation: 760/76=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[19, 67, 40, 9], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [67, 40, 10]
Generated Node #0,0: 10:[67, 40, 10] Operation: 19-9=10
Exploring Operation: 67-19=48, Resulting Numbers: [40, 9, 48]
Generated Node #0,1: 10:[40, 9, 48] Operation: 67-19=48
Exploring Operation: 40-19=21, Resulting Numbers: [67, 9, 21]
Generated Node #0,2: 10:[67, 9, 21] Operation: 40-19=21
Exploring Operation: 67-40=27, Resulting Numbers: [19, 9, 27]
Generated Node #0,3: 10:[19, 9, 27] Operation: 67-40=27
Start Sub Search at level 1: Moving to Node #0,3
Current State: 10:[19, 9, 27], Operations: ['67-40=27']
Exploring Operation: 27-9=18, Resulting Numbers: [19, 18]
Generated Node #0,3,0: 10:[19, 18] Operation: 27-9=18
Exploring Operation: 27/9=3, Resulting Numbers: [19, 3]
Generated Node #0,3,1: 10:[19, 3] Operation: 27/9=3
Exploring Operation: 27-19=8, Resulting Numbers: [9, 8]
Generated Node #0,3,2: 10:[9, 8] Operation: 27-19=8
Exploring Operation: 19-9=10, Resulting Numbers: [27, 10]
Generated Node #0,3,3: 10:[27, 10] Operation: 19-9=10
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 10:[9, 8], Operations: ['67-40=27', '27-19=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,10 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,10 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 #0,3,1
Current State: 10:[19, 3], Operations: ['67-40=27', '27/9=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,10 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,10 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 #0,3,0
Current State: 10:[19, 18], Operations: ['67-40=27', '27-9=18']
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,10 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,10 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 #0,3,3
Current State: 10:[27, 10], Operations: ['67-40=27', '19-9=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,10 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 #0,1
Current State: 10:[40, 9, 48], Operations: ['67-19=48']
Exploring Operation: 48-9=39, Resulting Numbers: [40, 39]
Generated Node #0,1,0: 10:[40, 39] Operation: 48-9=39
Exploring Operation: 40+9=49, Resulting Numbers: [48, 49]
Generated Node #0,1,1: 10:[48, 49] Operation: 40+9=49
Exploring Operation: 40-9=31, Resulting Numbers: [48, 31]
Generated Node #0,1,2: 10:[48, 31] Operation: 40-9=31
Exploring Operation: 48-40=8, Resulting Numbers: [9, 8]
Generated Node #0,1,3: 10:[9, 8] Operation: 48-40=8
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 10:[9, 8], Operations: ['67-19=48', '48-40=8']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,10 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:[40, 39], Operations: ['67-19=48', '48-9=39']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,10 unequal: No Solution
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,10 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 #0,1,2
Current State: 10:[48, 31], Operations: ['67-19=48', '40-9=31']
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,10 unequal: No Solution
Exploring Operation: 48*31=1488, Resulting Numbers: [1488]
1488,10 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,10 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:[48, 49], Operations: ['67-19=48', '40+9=49']
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,10 unequal: No Solution
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,10 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,10 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:[67, 9, 21], Operations: ['40-19=21']
Exploring Operation: 21-9=12, Resulting Numbers: [67, 12]
Generated Node #0,2,0: 10:[67, 12] Operation: 21-9=12
Exploring Operation: 67-21=46, Resulting Numbers: [9, 46]
Generated Node #0,2,1: 10:[9, 46] Operation: 67-21=46
Exploring Operation: 67-9=58, Resulting Numbers: [21, 58]
Generated Node #0,2,2: 10:[21, 58] Operation: 67-9=58
Exploring Operation: 67+9=76, Resulting Numbers: [21, 76]
Generated Node #0,2,3: 10:[21, 76] Operation: 67+9=76
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 10:[9, 46], Operations: ['40-19=21', '67-21=46']
Exploring Operation: 9*46=414, Resulting Numbers: [414]
414,10 unequal: No Solution
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 10:[67, 12], Operations: ['40-19=21', '21-9=12']
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 67+12=79, Resulting Numbers: [79]
79,10 unequal: No Solution
Exploring Operation: 67*12=804, Resulting Numbers: [804]
804,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 10:[21, 58], Operations: ['40-19=21', '67-9=58']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 21*58=1218, Resulting Numbers: [1218]
1218,10 unequal: No Solution
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 10:[21, 76], Operations: ['40-19=21', '67+9=76']
Exploring Operation: 21+76=97, Resulting Numbers: [97]
97,10 unequal: No Solution
Exploring Operation: 76-21=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 21*76=1596, Resulting Numbers: [1596]
1596,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[67, 40, 10], Operations: ['19-9=10']
Exploring Operation: 67-10=57, Resulting Numbers: [40, 57]
Generated Node #0,0,0: 10:[40, 57] Operation: 67-10=57
Exploring Operation: 67-40=27, Resulting Numbers: [10, 27]
Generated Node #0,0,1: 10:[10, 27] Operation: 67-40=27
Exploring Operation: 40-10=30, Resulting Numbers: [67, 30]
Generated Node #0,0,2: 10:[67, 30] Operation: 40-10=30
Exploring Operation: 40/10=4, Resulting Numbers: [67, 4]
Generated Node #0,0,3: 10:[67, 4] Operation: 40/10=4
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[10, 27], Operations: ['19-9=10', '67-40=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,10 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 #0,0,3
Current State: 10:[67, 4], Operations: ['19-9=10', '40/10=4']
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,10 unequal: No Solution
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,10 unequal: No Solution
Exploring Operation: 67*4=268, Resulting Numbers: [268]
268,10 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:[40, 57], Operations: ['19-9=10', '67-10=57']
Exploring Operation: 40+57=97, Resulting Numbers: [97]
97,10 unequal: No Solution
Exploring Operation: 40*57=2280, Resulting Numbers: [2280]
2280,10 unequal: No Solution
Exploring Operation: 57-40=17, Resulting Numbers: [17]
17,10 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:[67, 30], Operations: ['19-9=10', '40-10=30']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,10 unequal: No Solution
Exploring Operation: 67*30=2010, Resulting Numbers: [2010]
2010,10 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 | mult_heuristic |
[
46,
15,
74,
44
] | 14 | [
"46*15=690",
"690-74=616",
"616/44=14"
] | Current State: 14:[46, 15, 74, 44], Operations: []
Exploring Operation: 46*15=690, Resulting Numbers: [74, 44, 690]
Generated Node #2: [74, 44, 690] from Operation: 46*15=690
Current State: 14:[74, 44, 690], Operations: ['46*15=690']
Exploring Operation: 690-74=616, Resulting Numbers: [44, 616]
Generated Node #3: [44, 616] from Operation: 690-74=616
Current State: 14:[44, 616], Operations: ['46*15=690', '690-74=616']
Exploring Operation: 616/44=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[46, 15, 74, 44], Operations: []
Exploring Operation: 74-46=28, Resulting Numbers: [15, 44, 28]
Generated Node #0,0: 14:[15, 44, 28] Operation: 74-46=28
Exploring Operation: 74-44=30, Resulting Numbers: [46, 15, 30]
Generated Node #0,1: 14:[46, 15, 30] Operation: 74-44=30
Moving to Node #0,0
Current State: 14:[15, 44, 28], Operations: ['74-46=28']
Exploring Operation: 44-28=16, Resulting Numbers: [15, 16]
Generated Node #0,0,0: 14:[15, 16] Operation: 44-28=16
Exploring Operation: 44-15=29, Resulting Numbers: [28, 29]
Generated Node #0,0,1: 14:[28, 29] Operation: 44-15=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[15, 16], Operations: ['74-46=28', '44-28=16']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,14 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 #0,0,1
Current State: 14:[28, 29], Operations: ['74-46=28', '44-15=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,14 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:[46, 15, 30], Operations: ['74-44=30']
Exploring Operation: 46-30=16, Resulting Numbers: [15, 16]
Generated Node #0,1,0: 14:[15, 16] Operation: 46-30=16
Exploring Operation: 30/15=2, Resulting Numbers: [46, 2]
Generated Node #0,1,1: 14:[46, 2] Operation: 30/15=2
Moving to Node #0,1,0
Current State: 14:[15, 16], Operations: ['74-44=30', '46-30=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[46, 2], Operations: ['74-44=30', '30/15=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,14 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
13,
60,
18,
17
] | 12 | [
"60-13=47",
"18+17=35",
"47-35=12"
] | Current State: 12:[13, 60, 18, 17], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [18, 17, 47]
Generated Node #2: [18, 17, 47] from Operation: 60-13=47
Current State: 12:[18, 17, 47], Operations: ['60-13=47']
Exploring Operation: 18+17=35, Resulting Numbers: [47, 35]
Generated Node #3: [47, 35] from Operation: 18+17=35
Current State: 12:[47, 35], Operations: ['60-13=47', '18+17=35']
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[13, 60, 18, 17], Operations: []
Exploring Operation: 60-18=42, Resulting Numbers: [13, 17, 42]
Generated Node #0,0: 12:[13, 17, 42] Operation: 60-18=42
Exploring Operation: 60-17=43, Resulting Numbers: [13, 18, 43]
Generated Node #0,1: 12:[13, 18, 43] Operation: 60-17=43
Exploring Operation: 60-13=47, Resulting Numbers: [18, 17, 47]
Generated Node #0,2: 12:[18, 17, 47] Operation: 60-13=47
Exploring Operation: 18-17=1, Resulting Numbers: [13, 60, 1]
Generated Node #0,3: 12:[13, 60, 1] Operation: 18-17=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[13, 17, 42], Operations: ['60-18=42']
Exploring Operation: 13+17=30, Resulting Numbers: [42, 30]
Generated Node #0,0,0: 12:[42, 30] Operation: 13+17=30
Exploring Operation: 42-17=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 12:[13, 25] Operation: 42-17=25
Exploring Operation: 42-13=29, Resulting Numbers: [17, 29]
Generated Node #0,0,2: 12:[17, 29] Operation: 42-13=29
Exploring Operation: 17-13=4, Resulting Numbers: [42, 4]
Generated Node #0,0,3: 12:[42, 4] Operation: 17-13=4
Moving to Node #0,0,1
Current State: 12:[13, 25], Operations: ['60-18=42', '42-17=25']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[13, 60, 18, 17], Operations: []
Exploring Operation: 60-18=42, Resulting Numbers: [13, 17, 42]
Generated Node #0,0: 12:[13, 17, 42] Operation: 60-18=42
Moving to Node #0,0
Current State: 12:[13, 17, 42], Operations: ['60-18=42']
Exploring Operation: 42-17=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 12:[13, 25] Operation: 42-17=25
Moving to Node #0,0,1
Current State: 12:[13, 25], Operations: ['60-18=42', '42-17=25']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
98,
23,
11,
17
] | 28 | [
"98+23=121",
"121/11=11",
"17+11=28"
] | Current State: 28:[98, 23, 11, 17], Operations: []
Exploring Operation: 98+23=121, Resulting Numbers: [11, 17, 121]
Generated Node #2: [11, 17, 121] from Operation: 98+23=121
Current State: 28:[11, 17, 121], Operations: ['98+23=121']
Exploring Operation: 121/11=11, Resulting Numbers: [17, 11]
Generated Node #3: [17, 11] from Operation: 121/11=11
Current State: 28:[17, 11], Operations: ['98+23=121', '121/11=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[98, 23, 11, 17], Operations: []
Exploring Operation: 98-17=81, Resulting Numbers: [23, 11, 81]
Generated Node #0,0: 28:[23, 11, 81] Operation: 98-17=81
Exploring Operation: 98-11=87, Resulting Numbers: [23, 17, 87]
Generated Node #0,1: 28:[23, 17, 87] Operation: 98-11=87
Exploring Operation: 23-17=6, Resulting Numbers: [98, 11, 6]
Generated Node #0,2: 28:[98, 11, 6] Operation: 23-17=6
Exploring Operation: 98-23=75, Resulting Numbers: [11, 17, 75]
Generated Node #0,3: 28:[11, 17, 75] Operation: 98-23=75
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[11, 17, 75], Operations: ['98-23=75']
Exploring Operation: 17-11=6, Resulting Numbers: [75, 6]
Generated Node #0,3,0: 28:[75, 6] Operation: 17-11=6
Exploring Operation: 75-11=64, Resulting Numbers: [17, 64]
Generated Node #0,3,1: 28:[17, 64] Operation: 75-11=64
Exploring Operation: 75-17=58, Resulting Numbers: [11, 58]
Generated Node #0,3,2: 28:[11, 58] Operation: 75-17=58
Exploring Operation: 11+17=28, Resulting Numbers: [75, 28]
Generated Node #0,3,3: 28:[75, 28] Operation: 11+17=28
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 28:[11, 58], Operations: ['98-23=75', '75-17=58']
Exploring Operation: 11*58=638, Resulting Numbers: [638]
638,28 unequal: No Solution
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,28 unequal: No Solution
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 28:[17, 64], Operations: ['98-23=75', '75-11=64']
Exploring Operation: 17+64=81, Resulting Numbers: [81]
81,28 unequal: No Solution
Exploring Operation: 17*64=1088, Resulting Numbers: [1088]
1088,28 unequal: No Solution
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 28:[75, 28], Operations: ['98-23=75', '11+17=28']
Exploring Operation: 75*28=2100, Resulting Numbers: [2100]
2100,28 unequal: No Solution
Exploring Operation: 75+28=103, Resulting Numbers: [103]
103,28 unequal: No Solution
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 28:[75, 6], Operations: ['98-23=75', '17-11=6']
Exploring Operation: 75*6=450, Resulting Numbers: [450]
450,28 unequal: No Solution
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,28 unequal: No Solution
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[23, 11, 81], Operations: ['98-17=81']
Exploring Operation: 23+11=34, Resulting Numbers: [81, 34]
Generated Node #0,0,0: 28:[81, 34] Operation: 23+11=34
Exploring Operation: 81-23=58, Resulting Numbers: [11, 58]
Generated Node #0,0,1: 28:[11, 58] Operation: 81-23=58
Exploring Operation: 81-11=70, Resulting Numbers: [23, 70]
Generated Node #0,0,2: 28:[23, 70] Operation: 81-11=70
Exploring Operation: 23-11=12, Resulting Numbers: [81, 12]
Generated Node #0,0,3: 28:[81, 12] Operation: 23-11=12
Moving to Node #0,0,1
Current State: 28:[11, 58], Operations: ['98-17=81', '81-23=58']
Exploring Operation: 11*58=638, Resulting Numbers: [638]
638,28 unequal: No Solution
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,28 unequal: No Solution
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[23, 70], Operations: ['98-17=81', '81-11=70']
Exploring Operation: 23*70=1610, Resulting Numbers: [1610]
1610,28 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,28 unequal: No Solution
Exploring Operation: 23+70=93, Resulting Numbers: [93]
93,28 unequal: No Solution
Moving to Node #0,0,3
Current State: 28:[81, 12], Operations: ['98-17=81', '23-11=12']
Exploring Operation: 81+12=93, Resulting Numbers: [93]
93,28 unequal: No Solution
Exploring Operation: 81*12=972, Resulting Numbers: [972]
972,28 unequal: No Solution
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[81, 34], Operations: ['98-17=81', '23+11=34']
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,28 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,28 unequal: No Solution
Exploring Operation: 81*34=2754, Resulting Numbers: [2754]
2754,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[23, 17, 87], Operations: ['98-11=87']
Exploring Operation: 23-17=6, Resulting Numbers: [87, 6]
Generated Node #0,1,0: 28:[87, 6] Operation: 23-17=6
Exploring Operation: 23+17=40, Resulting Numbers: [87, 40]
Generated Node #0,1,1: 28:[87, 40] Operation: 23+17=40
Exploring Operation: 87-17=70, Resulting Numbers: [23, 70]
Generated Node #0,1,2: 28:[23, 70] Operation: 87-17=70
Exploring Operation: 87-23=64, Resulting Numbers: [17, 64]
Generated Node #0,1,3: 28:[17, 64] Operation: 87-23=64
Moving to Node #0,1,3
Current State: 28:[17, 64], Operations: ['98-11=87', '87-23=64']
Exploring Operation: 17*64=1088, Resulting Numbers: [1088]
1088,28 unequal: No Solution
Exploring Operation: 17+64=81, Resulting Numbers: [81]
81,28 unequal: No Solution
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[23, 70], Operations: ['98-11=87', '87-17=70']
Exploring Operation: 23*70=1610, Resulting Numbers: [1610]
1610,28 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,28 unequal: No Solution
Exploring Operation: 23+70=93, Resulting Numbers: [93]
93,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[87, 6], Operations: ['98-11=87', '23-17=6']
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,28 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,28 unequal: No Solution
Exploring Operation: 87*6=522, Resulting Numbers: [522]
522,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[87, 40], Operations: ['98-11=87', '23+17=40']
Exploring Operation: 87+40=127, Resulting Numbers: [127]
127,28 unequal: No Solution
Exploring Operation: 87-40=47, Resulting Numbers: [47]
47,28 unequal: No Solution
Exploring Operation: 87*40=3480, Resulting Numbers: [3480]
3480,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[98, 11, 6], Operations: ['23-17=6']
Exploring Operation: 11+6=17, Resulting Numbers: [98, 17]
Generated Node #0,2,0: 28:[98, 17] Operation: 11+6=17
Exploring Operation: 98-6=92, Resulting Numbers: [11, 92]
Generated Node #0,2,1: 28:[11, 92] Operation: 98-6=92
Exploring Operation: 98-11=87, Resulting Numbers: [6, 87]
Generated Node #0,2,2: 28:[6, 87] Operation: 98-11=87
Exploring Operation: 11-6=5, Resulting Numbers: [98, 5]
Generated Node #0,2,3: 28:[98, 5] Operation: 11-6=5
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[6, 87], Operations: ['23-17=6', '98-11=87']
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,28 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,28 unequal: No Solution
Exploring Operation: 6*87=522, Resulting Numbers: [522]
522,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 28:[11, 92], Operations: ['23-17=6', '98-6=92']
Exploring Operation: 11*92=1012, Resulting Numbers: [1012]
1012,28 unequal: No Solution
Exploring Operation: 11+92=103, Resulting Numbers: [103]
103,28 unequal: No Solution
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 28:[98, 5], Operations: ['23-17=6', '11-6=5']
Exploring Operation: 98*5=490, Resulting Numbers: [490]
490,28 unequal: No Solution
Exploring Operation: 98+5=103, Resulting Numbers: [103]
103,28 unequal: No Solution
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[98, 17], Operations: ['23-17=6', '11+6=17']
Exploring Operation: 98*17=1666, Resulting Numbers: [1666]
1666,28 unequal: No Solution
Exploring Operation: 98-17=81, Resulting Numbers: [81]
81,28 unequal: No Solution
Exploring Operation: 98+17=115, Resulting Numbers: [115]
115,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
10,
3,
68,
73
] | 61 | [
"73-3=70",
"70/10=7",
"68-7=61"
] | Current State: 61:[10, 3, 68, 73], Operations: []
Exploring Operation: 73-3=70, Resulting Numbers: [10, 68, 70]
Generated Node #2: [10, 68, 70] from Operation: 73-3=70
Current State: 61:[10, 68, 70], Operations: ['73-3=70']
Exploring Operation: 70/10=7, Resulting Numbers: [68, 7]
Generated Node #3: [68, 7] from Operation: 70/10=7
Current State: 61:[68, 7], Operations: ['73-3=70', '70/10=7']
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[10, 3, 68, 73], Operations: []
Exploring Operation: 10*3=30, Resulting Numbers: [68, 73, 30]
Generated Node #0,0: 61:[68, 73, 30] Operation: 10*3=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[68, 73, 30], Operations: ['10*3=30']
Exploring Operation: 73-30=43, Resulting Numbers: [68, 43]
Generated Node #0,0,0: 61:[68, 43] Operation: 73-30=43
Moving to Node #0,0,0
Current State: 61:[68, 43], Operations: ['10*3=30', '73-30=43']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,61 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 |
[
60,
61,
39,
20
] | 62 | [
"60+61=121",
"39+20=59",
"121-59=62"
] | Current State: 62:[60, 61, 39, 20], Operations: []
Exploring Operation: 60+61=121, Resulting Numbers: [39, 20, 121]
Generated Node #2: [39, 20, 121] from Operation: 60+61=121
Current State: 62:[39, 20, 121], Operations: ['60+61=121']
Exploring Operation: 39+20=59, Resulting Numbers: [121, 59]
Generated Node #3: [121, 59] from Operation: 39+20=59
Current State: 62:[121, 59], Operations: ['60+61=121', '39+20=59']
Exploring Operation: 121-59=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[60, 61, 39, 20], Operations: []
Exploring Operation: 39+20=59, Resulting Numbers: [60, 61, 59]
Generated Node #0,0: 62:[60, 61, 59] Operation: 39+20=59
Exploring Operation: 60-20=40, Resulting Numbers: [61, 39, 40]
Generated Node #0,1: 62:[61, 39, 40] Operation: 60-20=40
Exploring Operation: 60/20=3, Resulting Numbers: [61, 39, 3]
Generated Node #0,2: 62:[61, 39, 3] Operation: 60/20=3
Exploring Operation: 61-60=1, Resulting Numbers: [39, 20, 1]
Generated Node #0,3: 62:[39, 20, 1] Operation: 61-60=1
Exploring Operation: 39-20=19, Resulting Numbers: [60, 61, 19]
Generated Node #0,4: 62:[60, 61, 19] Operation: 39-20=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[60, 61, 59], Operations: ['39+20=59']
Exploring Operation: 60+59=119, Resulting Numbers: [61, 119]
Generated Node #0,0,0: 62:[61, 119] Operation: 60+59=119
Exploring Operation: 61+59=120, Resulting Numbers: [60, 120]
Generated Node #0,0,1: 62:[60, 120] Operation: 61+59=120
Exploring Operation: 61-59=2, Resulting Numbers: [60, 2]
Generated Node #0,0,2: 62:[60, 2] Operation: 61-59=2
Exploring Operation: 60-59=1, Resulting Numbers: [61, 1]
Generated Node #0,0,3: 62:[61, 1] Operation: 60-59=1
Exploring Operation: 61-60=1, Resulting Numbers: [59, 1]
Generated Node #0,0,4: 62:[59, 1] Operation: 61-60=1
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[60, 2], Operations: ['39+20=59', '61-59=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[60, 61, 39, 20], Operations: []
Exploring Operation: 39+20=59, Resulting Numbers: [60, 61, 59]
Generated Node #0,0: 62:[60, 61, 59] Operation: 39+20=59
Moving to Node #0,0
Current State: 62:[60, 61, 59], Operations: ['39+20=59']
Exploring Operation: 61-59=2, Resulting Numbers: [60, 2]
Generated Node #0,0,2: 62:[60, 2] Operation: 61-59=2
Moving to Node #0,0,2
Current State: 62:[60, 2], Operations: ['39+20=59', '61-59=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
27,
19,
96,
23
] | 22 | [
"96-27=69",
"69/23=3",
"19+3=22"
] | Current State: 22:[27, 19, 96, 23], Operations: []
Exploring Operation: 96-27=69, Resulting Numbers: [19, 23, 69]
Generated Node #2: [19, 23, 69] from Operation: 96-27=69
Current State: 22:[19, 23, 69], Operations: ['96-27=69']
Exploring Operation: 69/23=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 69/23=3
Current State: 22:[19, 3], Operations: ['96-27=69', '69/23=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[27, 19, 96, 23], Operations: []
Exploring Operation: 96-23=73, Resulting Numbers: [27, 19, 73]
Generated Node #0,0: 22:[27, 19, 73] Operation: 96-23=73
Exploring Operation: 96-27=69, Resulting Numbers: [19, 23, 69]
Generated Node #0,1: 22:[19, 23, 69] Operation: 96-27=69
Exploring Operation: 96-19=77, Resulting Numbers: [27, 23, 77]
Generated Node #0,2: 22:[27, 23, 77] Operation: 96-19=77
Moving to Node #0,1
Current State: 22:[19, 23, 69], Operations: ['96-27=69']
Exploring Operation: 69-19=50, Resulting Numbers: [23, 50]
Generated Node #0,1,0: 22:[23, 50] Operation: 69-19=50
Exploring Operation: 69-23=46, Resulting Numbers: [19, 46]
Generated Node #0,1,1: 22:[19, 46] Operation: 69-23=46
Exploring Operation: 69/23=3, Resulting Numbers: [19, 3]
Generated Node #0,1,2: 22:[19, 3] Operation: 69/23=3
Moving to Node #0,0
Current State: 22:[27, 19, 73], Operations: ['96-23=73']
Exploring Operation: 27-19=8, Resulting Numbers: [73, 8]
Generated Node #0,0,0: 22:[73, 8] Operation: 27-19=8
Exploring Operation: 73-27=46, Resulting Numbers: [19, 46]
Generated Node #0,0,1: 22:[19, 46] Operation: 73-27=46
Exploring Operation: 73-19=54, Resulting Numbers: [27, 54]
Generated Node #0,0,2: 22:[27, 54] Operation: 73-19=54
Moving to Node #0,2
Current State: 22:[27, 23, 77], Operations: ['96-19=77']
Exploring Operation: 77-23=54, Resulting Numbers: [27, 54]
Generated Node #0,2,0: 22:[27, 54] Operation: 77-23=54
Exploring Operation: 27-23=4, Resulting Numbers: [77, 4]
Generated Node #0,2,1: 22:[77, 4] Operation: 27-23=4
Exploring Operation: 77-27=50, Resulting Numbers: [23, 50]
Generated Node #0,2,2: 22:[23, 50] Operation: 77-27=50
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 22:[23, 50], Operations: ['96-19=77', '77-27=50']
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,22 unequal: No Solution
Exploring Operation: 23*50=1150, Resulting Numbers: [1150]
1150,22 unequal: No Solution
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,22 unequal: No Solution
No 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: 22:[27, 54], Operations: ['96-19=77', '77-23=54']
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 27+54=81, Resulting Numbers: [81]
81,22 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,22 unequal: No Solution
No 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: 22:[77, 4], Operations: ['96-19=77', '27-23=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,22 unequal: No Solution
Exploring Operation: 77*4=308, Resulting Numbers: [308]
308,22 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 22:[19, 3], Operations: ['96-27=69', '69/23=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[27, 19, 96, 23], Operations: []
Exploring Operation: 96-27=69, Resulting Numbers: [19, 23, 69]
Generated Node #0,1: 22:[19, 23, 69] Operation: 96-27=69
Moving to Node #0,1
Current State: 22:[19, 23, 69], Operations: ['96-27=69']
Exploring Operation: 69/23=3, Resulting Numbers: [19, 3]
Generated Node #0,1,2: 22:[19, 3] Operation: 69/23=3
Moving to Node #0,1,2
Current State: 22:[19, 3], Operations: ['96-27=69', '69/23=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
26,
45,
73,
26
] | 24 | [
"26+45=71",
"73-26=47",
"71-47=24"
] | Current State: 24:[26, 45, 73, 26], Operations: []
Exploring Operation: 26+45=71, Resulting Numbers: [73, 71]
Generated Node #2: [73, 71] from Operation: 26+45=71
Current State: 24:[73, 71], Operations: ['26+45=71']
Exploring Operation: 73-26=47, Resulting Numbers: [71, 47]
Generated Node #3: [71, 47] from Operation: 73-26=47
Current State: 24:[71, 47], Operations: ['26+45=71', '73-26=47']
Exploring Operation: 71-47=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[26, 45, 73, 26], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [45, 26, 47]
Generated Node #0,0: 24:[45, 26, 47] Operation: 73-26=47
Exploring Operation: 73-45=28, Resulting Numbers: [26, 26, 28]
Generated Node #0,1: 24:[26, 26, 28] Operation: 73-45=28
Exploring Operation: 73-26=47, Resulting Numbers: [26, 45, 47]
Generated Node #0,2: 24:[26, 45, 47] Operation: 73-26=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[26, 26, 28], Operations: ['73-45=28']
Exploring Operation: 28-26=2, Resulting Numbers: [26, 2]
Generated Node #0,1,0: 24:[26, 2] Operation: 28-26=2
Exploring Operation: 26/26=1, Resulting Numbers: [28, 1]
Generated Node #0,1,1: 24:[28, 1] Operation: 26/26=1
Exploring Operation: 28-26=2, Resulting Numbers: [26, 2]
Generated Node #0,1,2: 24:[26, 2] Operation: 28-26=2
Moving to Node #0,1,0
Current State: 24:[26, 2], Operations: ['73-45=28', '28-26=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[26, 45, 73, 26], Operations: []
Exploring Operation: 73-45=28, Resulting Numbers: [26, 26, 28]
Generated Node #0,1: 24:[26, 26, 28] Operation: 73-45=28
Moving to Node #0,1
Current State: 24:[26, 26, 28], Operations: ['73-45=28']
Exploring Operation: 28-26=2, Resulting Numbers: [26, 2]
Generated Node #0,1,0: 24:[26, 2] Operation: 28-26=2
Moving to Node #0,1,0
Current State: 24:[26, 2], Operations: ['73-45=28', '28-26=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
83,
41,
25,
6
] | 26 | [
"83+41=124",
"25*6=150",
"150-124=26"
] | Current State: 26:[83, 41, 25, 6], Operations: []
Exploring Operation: 83+41=124, Resulting Numbers: [25, 6, 124]
Generated Node #2: [25, 6, 124] from Operation: 83+41=124
Current State: 26:[25, 6, 124], Operations: ['83+41=124']
Exploring Operation: 25*6=150, Resulting Numbers: [124, 150]
Generated Node #3: [124, 150] from Operation: 25*6=150
Current State: 26:[124, 150], Operations: ['83+41=124', '25*6=150']
Exploring Operation: 150-124=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[83, 41, 25, 6], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [25, 6, 42]
Generated Node #0,0: 26:[25, 6, 42] Operation: 83-41=42
Exploring Operation: 83-25=58, Resulting Numbers: [41, 6, 58]
Generated Node #0,1: 26:[41, 6, 58] Operation: 83-25=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[25, 6, 42], Operations: ['83-41=42']
Exploring Operation: 42-25=17, Resulting Numbers: [6, 17]
Generated Node #0,0,0: 26:[6, 17] Operation: 42-25=17
Exploring Operation: 42/6=7, Resulting Numbers: [25, 7]
Generated Node #0,0,1: 26:[25, 7] Operation: 42/6=7
Moving to Node #0,0,1
Current State: 26:[25, 7], Operations: ['83-41=42', '42/6=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[6, 17], Operations: ['83-41=42', '42-25=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[41, 6, 58], Operations: ['83-25=58']
Exploring Operation: 41-6=35, Resulting Numbers: [58, 35]
Generated Node #0,1,0: 26:[58, 35] Operation: 41-6=35
Exploring Operation: 58-41=17, Resulting Numbers: [6, 17]
Generated Node #0,1,1: 26:[6, 17] Operation: 58-41=17
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 26:[6, 17], Operations: ['83-25=58', '58-41=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 6+17=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:[58, 35], Operations: ['83-25=58', '41-6=35']
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 58+35=93, Resulting Numbers: [93]
93,26 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
No solution found.
| 0 | hs_2 | mult_heuristic |
[
33,
56,
4,
16
] | 60 | [
"33*4=132",
"56+16=72",
"132-72=60"
] | Current State: 60:[33, 56, 4, 16], Operations: []
Exploring Operation: 33*4=132, Resulting Numbers: [56, 16, 132]
Generated Node #2: [56, 16, 132] from Operation: 33*4=132
Current State: 60:[56, 16, 132], Operations: ['33*4=132']
Exploring Operation: 56+16=72, Resulting Numbers: [132, 72]
Generated Node #3: [132, 72] from Operation: 56+16=72
Current State: 60:[132, 72], Operations: ['33*4=132', '56+16=72']
Exploring Operation: 132-72=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[33, 56, 4, 16], Operations: []
Exploring Operation: 56-33=23, Resulting Numbers: [4, 16, 23]
Generated Node #0,0: 60:[4, 16, 23] Operation: 56-33=23
Exploring Operation: 56+4=60, Resulting Numbers: [33, 16, 60]
Generated Node #0,1: 60:[33, 16, 60] Operation: 56+4=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[4, 16, 23], Operations: ['56-33=23']
Exploring Operation: 23-4=19, Resulting Numbers: [16, 19]
Generated Node #0,0,0: 60:[16, 19] Operation: 23-4=19
Exploring Operation: 23-16=7, Resulting Numbers: [4, 7]
Generated Node #0,0,1: 60:[4, 7] Operation: 23-16=7
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 60:[4, 7], Operations: ['56-33=23', '23-16=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,60 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 #0,0,0
Current State: 60:[16, 19], Operations: ['56-33=23', '23-4=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,60 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 #0,1
Current State: 60:[33, 16, 60], Operations: ['56+4=60']
Exploring Operation: 33-16=17, Resulting Numbers: [60, 17]
Generated Node #0,1,0: 60:[60, 17] Operation: 33-16=17
Exploring Operation: 60-33=27, Resulting Numbers: [16, 27]
Generated Node #0,1,1: 60:[16, 27] Operation: 60-33=27
Moving to Node #0,1,0
Current State: 60:[60, 17], Operations: ['56+4=60', '33-16=17']
Exploring Operation: 60+17=77, Resulting Numbers: [77]
77,60 unequal: No Solution
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[16, 27], Operations: ['56+4=60', '60-33=27']
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,60 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 |
[
83,
64,
32,
44
] | 95 | [
"83-64=19",
"32+44=76",
"19+76=95"
] | Current State: 95:[83, 64, 32, 44], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [32, 44, 19]
Generated Node #2: [32, 44, 19] from Operation: 83-64=19
Current State: 95:[32, 44, 19], Operations: ['83-64=19']
Exploring Operation: 32+44=76, Resulting Numbers: [19, 76]
Generated Node #3: [19, 76] from Operation: 32+44=76
Current State: 95:[19, 76], Operations: ['83-64=19', '32+44=76']
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[83, 64, 32, 44], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [83, 32, 20]
Generated Node #0,0: 95:[83, 32, 20] Operation: 64-44=20
Moving to Node #0,0
Current State: 95:[83, 32, 20], Operations: ['64-44=20']
Exploring Operation: 32-20=12, Resulting Numbers: [83, 12]
Generated Node #0,0,0: 95:[83, 12] Operation: 32-20=12
Moving to Node #0,0,0
Current State: 95:[83, 12], Operations: ['64-44=20', '32-20=12']
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[83, 64, 32, 44], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [83, 32, 20]
Generated Node #0,0: 95:[83, 32, 20] Operation: 64-44=20
Moving to Node #0,0
Current State: 95:[83, 32, 20], Operations: ['64-44=20']
Exploring Operation: 32-20=12, Resulting Numbers: [83, 12]
Generated Node #0,0,0: 95:[83, 12] Operation: 32-20=12
Moving to Node #0,0,0
Current State: 95:[83, 12], Operations: ['64-44=20', '32-20=12']
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
7,
6,
69,
86
] | 18 | [
"7-6=1",
"86-69=17",
"1+17=18"
] | Current State: 18:[7, 6, 69, 86], Operations: []
Exploring Operation: 7-6=1, Resulting Numbers: [69, 86, 1]
Generated Node #2: [69, 86, 1] from Operation: 7-6=1
Current State: 18:[69, 86, 1], Operations: ['7-6=1']
Exploring Operation: 86-69=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 86-69=17
Current State: 18:[1, 17], Operations: ['7-6=1', '86-69=17']
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[7, 6, 69, 86], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [7, 6, 17]
Generated Node #0,0: 18:[7, 6, 17] Operation: 86-69=17
Exploring Operation: 69-7=62, Resulting Numbers: [6, 86, 62]
Generated Node #0,1: 18:[6, 86, 62] Operation: 69-7=62
Moving to Node #0,0
Current State: 18:[7, 6, 17], Operations: ['86-69=17']
Exploring Operation: 7-6=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 18:[17, 1] Operation: 7-6=1
Exploring Operation: 17-7=10, Resulting Numbers: [6, 10]
Generated Node #0,0,1: 18:[6, 10] Operation: 17-7=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[6, 10], Operations: ['86-69=17', '17-7=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,18 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 #0,0,0
Current State: 18:[17, 1], Operations: ['86-69=17', '7-6=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[7, 6, 69, 86], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [7, 6, 17]
Generated Node #0,0: 18:[7, 6, 17] Operation: 86-69=17
Moving to Node #0,0
Current State: 18:[7, 6, 17], Operations: ['86-69=17']
Exploring Operation: 7-6=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 18:[17, 1] Operation: 7-6=1
Moving to Node #0,0,0
Current State: 18:[17, 1], Operations: ['86-69=17', '7-6=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
10,
16,
57,
56
] | 26 | [
"10+16=26",
"57-56=1",
"26*1=26"
] | Current State: 26:[10, 16, 57, 56], Operations: []
Exploring Operation: 10+16=26, Resulting Numbers: [57, 56, 26]
Generated Node #2: [57, 56, 26] from Operation: 10+16=26
Current State: 26:[57, 56, 26], Operations: ['10+16=26']
Exploring Operation: 57-56=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 57-56=1
Current State: 26:[26, 1], Operations: ['10+16=26', '57-56=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[10, 16, 57, 56], Operations: []
Exploring Operation: 57-16=41, Resulting Numbers: [10, 56, 41]
Generated Node #0,0: 26:[10, 56, 41] Operation: 57-16=41
Exploring Operation: 56-16=40, Resulting Numbers: [10, 57, 40]
Generated Node #0,1: 26:[10, 57, 40] Operation: 56-16=40
Exploring Operation: 57-56=1, Resulting Numbers: [10, 16, 1]
Generated Node #0,2: 26:[10, 16, 1] Operation: 57-56=1
Moving to Node #0,2
Current State: 26:[10, 16, 1], Operations: ['57-56=1']
Exploring Operation: 16-10=6, Resulting Numbers: [1, 6]
Generated Node #0,2,0: 26:[1, 6] Operation: 16-10=6
Exploring Operation: 10+16=26, Resulting Numbers: [1, 26]
Generated Node #0,2,1: 26:[1, 26] Operation: 10+16=26
Exploring Operation: 10+1=11, Resulting Numbers: [16, 11]
Generated Node #0,2,2: 26:[16, 11] Operation: 10+1=11
Moving to Node #0,0
Current State: 26:[10, 56, 41], Operations: ['57-16=41']
Exploring Operation: 56-10=46, Resulting Numbers: [41, 46]
Generated Node #0,0,0: 26:[41, 46] Operation: 56-10=46
Exploring Operation: 56-41=15, Resulting Numbers: [10, 15]
Generated Node #0,0,1: 26:[10, 15] Operation: 56-41=15
Exploring Operation: 41-10=31, Resulting Numbers: [56, 31]
Generated Node #0,0,2: 26:[56, 31] Operation: 41-10=31
Moving to Node #0,1
Current State: 26:[10, 57, 40], Operations: ['56-16=40']
Exploring Operation: 57-40=17, Resulting Numbers: [10, 17]
Generated Node #0,1,0: 26:[10, 17] Operation: 57-40=17
Exploring Operation: 57-10=47, Resulting Numbers: [40, 47]
Generated Node #0,1,1: 26:[40, 47] Operation: 57-10=47
Exploring Operation: 40/10=4, Resulting Numbers: [57, 4]
Generated Node #0,1,2: 26:[57, 4] Operation: 40/10=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[10, 17], Operations: ['56-16=40', '57-40=17']
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,26 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 26:[57, 4], Operations: ['56-16=40', '40/10=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,26 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[40, 47], Operations: ['56-16=40', '57-10=47']
Exploring Operation: 40+47=87, Resulting Numbers: [87]
87,26 unequal: No Solution
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 40*47=1880, Resulting Numbers: [1880]
1880,26 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: 26:[1, 26], Operations: ['57-56=1', '10+16=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[10, 16, 57, 56], Operations: []
Exploring Operation: 57-56=1, Resulting Numbers: [10, 16, 1]
Generated Node #0,2: 26:[10, 16, 1] Operation: 57-56=1
Moving to Node #0,2
Current State: 26:[10, 16, 1], Operations: ['57-56=1']
Exploring Operation: 10+16=26, Resulting Numbers: [1, 26]
Generated Node #0,2,1: 26:[1, 26] Operation: 10+16=26
Moving to Node #0,2,1
Current State: 26:[1, 26], Operations: ['57-56=1', '10+16=26']
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
31,
73,
13,
86
] | 82 | [
"31+86=117",
"117/13=9",
"73+9=82"
] | Current State: 82:[31, 73, 13, 86], Operations: []
Exploring Operation: 31+86=117, Resulting Numbers: [73, 13, 117]
Generated Node #2: [73, 13, 117] from Operation: 31+86=117
Current State: 82:[73, 13, 117], Operations: ['31+86=117']
Exploring Operation: 117/13=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 117/13=9
Current State: 82:[73, 9], Operations: ['31+86=117', '117/13=9']
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[31, 73, 13, 86], Operations: []
Exploring Operation: 73-31=42, Resulting Numbers: [13, 86, 42]
Generated Node #0,0: 82:[13, 86, 42] Operation: 73-31=42
Exploring Operation: 31+13=44, Resulting Numbers: [73, 86, 44]
Generated Node #0,1: 82:[73, 86, 44] Operation: 31+13=44
Exploring Operation: 73+13=86, Resulting Numbers: [31, 86, 86]
Generated Node #0,2: 82:[31, 86, 86] Operation: 73+13=86
Moving to Node #0,0
Current State: 82:[13, 86, 42], Operations: ['73-31=42']
Exploring Operation: 86-42=44, Resulting Numbers: [13, 44]
Generated Node #0,0,0: 82:[13, 44] Operation: 86-42=44
Exploring Operation: 86-13=73, Resulting Numbers: [42, 73]
Generated Node #0,0,1: 82:[42, 73] Operation: 86-13=73
Exploring Operation: 42-13=29, Resulting Numbers: [86, 29]
Generated Node #0,0,2: 82:[86, 29] Operation: 42-13=29
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[42, 73], Operations: ['73-31=42', '86-13=73']
Exploring Operation: 42+73=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 42*73=3066, Resulting Numbers: [3066]
3066,82 unequal: No Solution
Exploring Operation: 73-42=31, Resulting Numbers: [31]
31,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[13, 44], Operations: ['73-31=42', '86-42=44']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 13*44=572, Resulting Numbers: [572]
572,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[86, 29], Operations: ['73-31=42', '42-13=29']
Exploring Operation: 86+29=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 86*29=2494, Resulting Numbers: [2494]
2494,82 unequal: No Solution
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,82 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: 82:[73, 86, 44], Operations: ['31+13=44']
Exploring Operation: 86-44=42, Resulting Numbers: [73, 42]
Generated Node #0,1,0: 82:[73, 42] Operation: 86-44=42
Exploring Operation: 73-44=29, Resulting Numbers: [86, 29]
Generated Node #0,1,1: 82:[86, 29] Operation: 73-44=29
Exploring Operation: 86-73=13, Resulting Numbers: [44, 13]
Generated Node #0,1,2: 82:[44, 13] Operation: 86-73=13
Moving to Node #0,2
Current State: 82:[31, 86, 86], Operations: ['73+13=86']
Exploring Operation: 86-31=55, Resulting Numbers: [86, 55]
Generated Node #0,2,0: 82:[86, 55] Operation: 86-31=55
Exploring Operation: 86/86=1, Resulting Numbers: [31, 1]
Generated Node #0,2,1: 82:[31, 1] Operation: 86/86=1
Exploring Operation: 86-86=0, Resulting Numbers: [31, 0]
Generated Node #0,2,2: 82:[31, 0] Operation: 86-86=0
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[31, 1], Operations: ['73+13=86', '86/86=1']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 82:[31, 0], Operations: ['73+13=86', '86-86=0']
Exploring Operation: 31-0=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 31+0=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 31*0=0, Resulting Numbers: [0]
0,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 82:[86, 55], Operations: ['73+13=86', '86-31=55']
Exploring Operation: 86*55=4730, Resulting Numbers: [4730]
4730,82 unequal: No Solution
Exploring Operation: 86+55=141, Resulting Numbers: [141]
141,82 unequal: No Solution
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,82 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: 82:[73, 42], Operations: ['31+13=44', '86-44=42']
Exploring Operation: 73-42=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 73*42=3066, Resulting Numbers: [3066]
3066,82 unequal: No Solution
Exploring Operation: 73+42=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[44, 13], Operations: ['31+13=44', '86-73=13']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,82 unequal: No Solution
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[86, 29], Operations: ['31+13=44', '73-44=29']
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 86*29=2494, Resulting Numbers: [2494]
2494,82 unequal: No Solution
Exploring Operation: 86+29=115, Resulting Numbers: [115]
115,82 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
14,
2,
32,
50
] | 98 | [
"14+2=16",
"32+50=82",
"16+82=98"
] | Current State: 98:[14, 2, 32, 50], Operations: []
Exploring Operation: 14+2=16, Resulting Numbers: [32, 50, 16]
Generated Node #2: [32, 50, 16] from Operation: 14+2=16
Current State: 98:[32, 50, 16], Operations: ['14+2=16']
Exploring Operation: 32+50=82, Resulting Numbers: [16, 82]
Generated Node #3: [16, 82] from Operation: 32+50=82
Current State: 98:[16, 82], Operations: ['14+2=16', '32+50=82']
Exploring Operation: 16+82=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[14, 2, 32, 50], Operations: []
Exploring Operation: 32-14=18, Resulting Numbers: [2, 50, 18]
Generated Node #0,0: 98:[2, 50, 18] Operation: 32-14=18
Exploring Operation: 50-32=18, Resulting Numbers: [14, 2, 18]
Generated Node #0,1: 98:[14, 2, 18] Operation: 50-32=18
Exploring Operation: 32/2=16, Resulting Numbers: [14, 50, 16]
Generated Node #0,2: 98:[14, 50, 16] Operation: 32/2=16
Exploring Operation: 14+32=46, Resulting Numbers: [2, 50, 46]
Generated Node #0,3: 98:[2, 50, 46] Operation: 14+32=46
Exploring Operation: 2+32=34, Resulting Numbers: [14, 50, 34]
Generated Node #0,4: 98:[14, 50, 34] Operation: 2+32=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[14, 50, 16], Operations: ['32/2=16']
Exploring Operation: 14+16=30, Resulting Numbers: [50, 30]
Generated Node #0,2,0: 98:[50, 30] Operation: 14+16=30
Exploring Operation: 50-14=36, Resulting Numbers: [16, 36]
Generated Node #0,2,1: 98:[16, 36] Operation: 50-14=36
Exploring Operation: 50-16=34, Resulting Numbers: [14, 34]
Generated Node #0,2,2: 98:[14, 34] Operation: 50-16=34
Exploring Operation: 16-14=2, Resulting Numbers: [50, 2]
Generated Node #0,2,3: 98:[50, 2] Operation: 16-14=2
Exploring Operation: 14+50=64, Resulting Numbers: [16, 64]
Generated Node #0,2,4: 98:[16, 64] Operation: 14+50=64
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 98:[50, 2], Operations: ['32/2=16', '16-14=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,98 unequal: No Solution
No 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: 98:[16, 36], Operations: ['32/2=16', '50-14=36']
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,98 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,98 unequal: No Solution
No 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: 98:[14, 34], Operations: ['32/2=16', '50-16=34']
Exploring Operation: 14*34=476, Resulting Numbers: [476]
476,98 unequal: No Solution
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,98 unequal: No Solution
No 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: 98:[50, 30], Operations: ['32/2=16', '14+16=30']
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,98 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 50*30=1500, Resulting Numbers: [1500]
1500,98 unequal: No Solution
No 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: 98:[16, 64], Operations: ['32/2=16', '14+50=64']
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 16+64=80, Resulting Numbers: [80]
80,98 unequal: No Solution
Exploring Operation: 16*64=1024, Resulting Numbers: [1024]
1024,98 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: 98:[14, 2, 18], Operations: ['50-32=18']
Exploring Operation: 14/2=7, Resulting Numbers: [18, 7]
Generated Node #0,1,0: 98:[18, 7] Operation: 14/2=7
Exploring Operation: 14+2=16, Resulting Numbers: [18, 16]
Generated Node #0,1,1: 98:[18, 16] Operation: 14+2=16
Exploring Operation: 18/2=9, Resulting Numbers: [14, 9]
Generated Node #0,1,2: 98:[14, 9] Operation: 18/2=9
Exploring Operation: 18-14=4, Resulting Numbers: [2, 4]
Generated Node #0,1,3: 98:[2, 4] Operation: 18-14=4
Exploring Operation: 18-2=16, Resulting Numbers: [14, 16]
Generated Node #0,1,4: 98:[14, 16] Operation: 18-2=16
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 98:[14, 9], Operations: ['50-32=18', '18/2=9']
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,98 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,98 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,98 unequal: No Solution
No 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: 98:[2, 4], Operations: ['50-32=18', '18-14=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,98 unequal: No Solution
No 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: 98:[14, 16], Operations: ['50-32=18', '18-2=16']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,98 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,98 unequal: No Solution
No 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: 98:[18, 7], Operations: ['50-32=18', '14/2=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,98 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,98 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,98 unequal: No Solution
No 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: 98:[18, 16], Operations: ['50-32=18', '14+2=16']
Exploring Operation: 18*16=288, Resulting Numbers: [288]
288,98 unequal: No Solution
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 18+16=34, Resulting Numbers: [34]
34,98 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: 98:[2, 50, 46], Operations: ['14+32=46']
Exploring Operation: 2*50=100, Resulting Numbers: [46, 100]
Generated Node #0,3,0: 98:[46, 100] Operation: 2*50=100
Exploring Operation: 50+46=96, Resulting Numbers: [2, 96]
Generated Node #0,3,1: 98:[2, 96] Operation: 50+46=96
Exploring Operation: 2+46=48, Resulting Numbers: [50, 48]
Generated Node #0,3,2: 98:[50, 48] Operation: 2+46=48
Exploring Operation: 50-46=4, Resulting Numbers: [2, 4]
Generated Node #0,3,3: 98:[2, 4] Operation: 50-46=4
Exploring Operation: 50-2=48, Resulting Numbers: [46, 48]
Generated Node #0,3,4: 98:[46, 48] Operation: 50-2=48
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 98:[2, 96], Operations: ['14+32=46', '50+46=96']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,98 unequal: No Solution
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[14, 2, 32, 50], Operations: []
Exploring Operation: 14+32=46, Resulting Numbers: [2, 50, 46]
Generated Node #0,3: 98:[2, 50, 46] Operation: 14+32=46
Moving to Node #0,3
Current State: 98:[2, 50, 46], Operations: ['14+32=46']
Exploring Operation: 50+46=96, Resulting Numbers: [2, 96]
Generated Node #0,3,1: 98:[2, 96] Operation: 50+46=96
Moving to Node #0,3,1
Current State: 98:[2, 96], Operations: ['14+32=46', '50+46=96']
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.947917 | hs_5 | sum_heuristic |
[
22,
34,
14,
31
] | 62 | [
"34-22=12",
"14-12=2",
"31*2=62"
] | Current State: 62:[22, 34, 14, 31], Operations: []
Exploring Operation: 34-22=12, Resulting Numbers: [14, 31, 12]
Generated Node #2: [14, 31, 12] from Operation: 34-22=12
Current State: 62:[14, 31, 12], Operations: ['34-22=12']
Exploring Operation: 14-12=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 14-12=2
Current State: 62:[31, 2], Operations: ['34-22=12', '14-12=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[22, 34, 14, 31], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [34, 31, 8]
Generated Node #0,0: 62:[34, 31, 8] Operation: 22-14=8
Exploring Operation: 22+14=36, Resulting Numbers: [34, 31, 36]
Generated Node #0,1: 62:[34, 31, 36] Operation: 22+14=36
Exploring Operation: 34-22=12, Resulting Numbers: [14, 31, 12]
Generated Node #0,2: 62:[14, 31, 12] Operation: 34-22=12
Exploring Operation: 22+34=56, Resulting Numbers: [14, 31, 56]
Generated Node #0,3: 62:[14, 31, 56] Operation: 22+34=56
Exploring Operation: 34-14=20, Resulting Numbers: [22, 31, 20]
Generated Node #0,4: 62:[22, 31, 20] Operation: 34-14=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[34, 31, 36], Operations: ['22+14=36']
Exploring Operation: 36-34=2, Resulting Numbers: [31, 2]
Generated Node #0,1,0: 62:[31, 2] Operation: 36-34=2
Exploring Operation: 36-31=5, Resulting Numbers: [34, 5]
Generated Node #0,1,1: 62:[34, 5] Operation: 36-31=5
Exploring Operation: 34+36=70, Resulting Numbers: [31, 70]
Generated Node #0,1,2: 62:[31, 70] Operation: 34+36=70
Exploring Operation: 34+31=65, Resulting Numbers: [36, 65]
Generated Node #0,1,3: 62:[36, 65] Operation: 34+31=65
Exploring Operation: 34-31=3, Resulting Numbers: [36, 3]
Generated Node #0,1,4: 62:[36, 3] Operation: 34-31=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[31, 2], Operations: ['22+14=36', '36-34=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[22, 34, 14, 31], Operations: []
Exploring Operation: 22+14=36, Resulting Numbers: [34, 31, 36]
Generated Node #0,1: 62:[34, 31, 36] Operation: 22+14=36
Moving to Node #0,1
Current State: 62:[34, 31, 36], Operations: ['22+14=36']
Exploring Operation: 36-34=2, Resulting Numbers: [31, 2]
Generated Node #0,1,0: 62:[31, 2] Operation: 36-34=2
Moving to Node #0,1,0
Current State: 62:[31, 2], Operations: ['22+14=36', '36-34=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
64,
21,
17,
71
] | 11 | [
"64-21=43",
"71-17=54",
"54-43=11"
] | Current State: 11:[64, 21, 17, 71], Operations: []
Exploring Operation: 64-21=43, Resulting Numbers: [17, 71, 43]
Generated Node #2: [17, 71, 43] from Operation: 64-21=43
Current State: 11:[17, 71, 43], Operations: ['64-21=43']
Exploring Operation: 71-17=54, Resulting Numbers: [43, 54]
Generated Node #3: [43, 54] from Operation: 71-17=54
Current State: 11:[43, 54], Operations: ['64-21=43', '71-17=54']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[64, 21, 17, 71], Operations: []
Exploring Operation: 64-21=43, Resulting Numbers: [17, 71, 43]
Generated Node #0,0: 11:[17, 71, 43] Operation: 64-21=43
Exploring Operation: 71-21=50, Resulting Numbers: [64, 17, 50]
Generated Node #0,1: 11:[64, 17, 50] Operation: 71-21=50
Exploring Operation: 71-64=7, Resulting Numbers: [21, 17, 7]
Generated Node #0,2: 11:[21, 17, 7] Operation: 71-64=7
Exploring Operation: 64-17=47, Resulting Numbers: [21, 71, 47]
Generated Node #0,3: 11:[21, 71, 47] Operation: 64-17=47
Moving to Node #0,2
Current State: 11:[21, 17, 7], Operations: ['71-64=7']
Exploring Operation: 21/7=3, Resulting Numbers: [17, 3]
Generated Node #0,2,0: 11:[17, 3] Operation: 21/7=3
Exploring Operation: 17-7=10, Resulting Numbers: [21, 10]
Generated Node #0,2,1: 11:[21, 10] Operation: 17-7=10
Exploring Operation: 21-17=4, Resulting Numbers: [7, 4]
Generated Node #0,2,2: 11:[7, 4] Operation: 21-17=4
Exploring Operation: 21-7=14, Resulting Numbers: [17, 14]
Generated Node #0,2,3: 11:[17, 14] Operation: 21-7=14
Moving to Node #0,1
Current State: 11:[64, 17, 50], Operations: ['71-21=50']
Exploring Operation: 64-17=47, Resulting Numbers: [50, 47]
Generated Node #0,1,0: 11:[50, 47] Operation: 64-17=47
Exploring Operation: 50-17=33, Resulting Numbers: [64, 33]
Generated Node #0,1,1: 11:[64, 33] Operation: 50-17=33
Exploring Operation: 64-50=14, Resulting Numbers: [17, 14]
Generated Node #0,1,2: 11:[17, 14] Operation: 64-50=14
Exploring Operation: 64+17=81, Resulting Numbers: [50, 81]
Generated Node #0,1,3: 11:[50, 81] Operation: 64+17=81
Moving to Node #0,0
Current State: 11:[17, 71, 43], Operations: ['64-21=43']
Exploring Operation: 71-17=54, Resulting Numbers: [43, 54]
Generated Node #0,0,0: 11:[43, 54] Operation: 71-17=54
Exploring Operation: 71-43=28, Resulting Numbers: [17, 28]
Generated Node #0,0,1: 11:[17, 28] Operation: 71-43=28
Exploring Operation: 17+71=88, Resulting Numbers: [43, 88]
Generated Node #0,0,2: 11:[43, 88] Operation: 17+71=88
Exploring Operation: 43-17=26, Resulting Numbers: [71, 26]
Generated Node #0,0,3: 11:[71, 26] Operation: 43-17=26
Moving to Node #0,3
Current State: 11:[21, 71, 47], Operations: ['64-17=47']
Exploring Operation: 47-21=26, Resulting Numbers: [71, 26]
Generated Node #0,3,0: 11:[71, 26] Operation: 47-21=26
Exploring Operation: 71-21=50, Resulting Numbers: [47, 50]
Generated Node #0,3,1: 11:[47, 50] Operation: 71-21=50
Exploring Operation: 71-47=24, Resulting Numbers: [21, 24]
Generated Node #0,3,2: 11:[21, 24] Operation: 71-47=24
Exploring Operation: 21+71=92, Resulting Numbers: [47, 92]
Generated Node #0,3,3: 11:[47, 92] Operation: 21+71=92
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[21, 24], Operations: ['64-17=47', '71-47=24']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,11 unequal: No Solution
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[71, 26], Operations: ['64-17=47', '47-21=26']
Exploring Operation: 71*26=1846, Resulting Numbers: [1846]
1846,11 unequal: No Solution
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,11 unequal: No Solution
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[47, 50], Operations: ['64-17=47', '71-21=50']
Exploring Operation: 47+50=97, Resulting Numbers: [97]
97,11 unequal: No Solution
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 47*50=2350, Resulting Numbers: [2350]
2350,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[47, 92], Operations: ['64-17=47', '21+71=92']
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 47+92=139, Resulting Numbers: [139]
139,11 unequal: No Solution
Exploring Operation: 47*92=4324, Resulting Numbers: [4324]
4324,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 11:[17, 14], Operations: ['71-64=7', '21-7=14']
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,11 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[17, 14], Operations: ['71-21=50', '64-50=14']
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,11 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[7, 4], Operations: ['71-64=7', '21-17=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[64, 21, 17, 71], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [21, 17, 7]
Generated Node #0,2: 11:[21, 17, 7] Operation: 71-64=7
Moving to Node #0,2
Current State: 11:[21, 17, 7], Operations: ['71-64=7']
Exploring Operation: 21-17=4, Resulting Numbers: [7, 4]
Generated Node #0,2,2: 11:[7, 4] Operation: 21-17=4
Moving to Node #0,2,2
Current State: 11:[7, 4], Operations: ['71-64=7', '21-17=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 0.960938 | hs_4 | mult_heuristic |
[
31,
74,
77,
16
] | 71 | [
"77+16=93",
"93/31=3",
"74-3=71"
] | Current State: 71:[31, 74, 77, 16], Operations: []
Exploring Operation: 77+16=93, Resulting Numbers: [31, 74, 93]
Generated Node #2: [31, 74, 93] from Operation: 77+16=93
Current State: 71:[31, 74, 93], Operations: ['77+16=93']
Exploring Operation: 93/31=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 93/31=3
Current State: 71:[74, 3], Operations: ['77+16=93', '93/31=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[31, 74, 77, 16], Operations: []
Exploring Operation: 31+16=47, Resulting Numbers: [74, 77, 47]
Generated Node #0,0: 71:[74, 77, 47] Operation: 31+16=47
Exploring Operation: 77-16=61, Resulting Numbers: [31, 74, 61]
Generated Node #0,1: 71:[31, 74, 61] Operation: 77-16=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[74, 77, 47], Operations: ['31+16=47']
Exploring Operation: 77-47=30, Resulting Numbers: [74, 30]
Generated Node #0,0,0: 71:[74, 30] Operation: 77-47=30
Exploring Operation: 74-47=27, Resulting Numbers: [77, 27]
Generated Node #0,0,1: 71:[77, 27] Operation: 74-47=27
Moving to Node #0,0,0
Current State: 71:[74, 30], Operations: ['31+16=47', '77-47=30']
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,71 unequal: No Solution
Exploring Operation: 74+30=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[77, 27], Operations: ['31+16=47', '74-47=27']
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[31, 74, 61], Operations: ['77-16=61']
Exploring Operation: 74-31=43, Resulting Numbers: [61, 43]
Generated Node #0,1,0: 71:[61, 43] Operation: 74-31=43
Exploring Operation: 31+61=92, Resulting Numbers: [74, 92]
Generated Node #0,1,1: 71:[74, 92] Operation: 31+61=92
Moving to Node #0,1,1
Current State: 71:[74, 92], Operations: ['77-16=61', '31+61=92']
Exploring Operation: 74+92=166, Resulting Numbers: [166]
166,71 unequal: No Solution
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[61, 43], Operations: ['77-16=61', '74-31=43']
Exploring Operation: 61+43=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,71 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 |
[
74,
64,
8,
38
] | 92 | [
"74+64=138",
"8+38=46",
"138-46=92"
] | Current State: 92:[74, 64, 8, 38], Operations: []
Exploring Operation: 74+64=138, Resulting Numbers: [8, 38, 138]
Generated Node #2: [8, 38, 138] from Operation: 74+64=138
Current State: 92:[8, 38, 138], Operations: ['74+64=138']
Exploring Operation: 8+38=46, Resulting Numbers: [138, 46]
Generated Node #3: [138, 46] from Operation: 8+38=46
Current State: 92:[138, 46], Operations: ['74+64=138', '8+38=46']
Exploring Operation: 138-46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[74, 64, 8, 38], Operations: []
Exploring Operation: 64-38=26, Resulting Numbers: [74, 8, 26]
Generated Node #0,0: 92:[74, 8, 26] Operation: 64-38=26
Exploring Operation: 74-64=10, Resulting Numbers: [8, 38, 10]
Generated Node #0,1: 92:[8, 38, 10] Operation: 74-64=10
Moving to Node #0,1
Current State: 92:[8, 38, 10], Operations: ['74-64=10']
Exploring Operation: 38+10=48, Resulting Numbers: [8, 48]
Generated Node #0,1,0: 92:[8, 48] Operation: 38+10=48
Exploring Operation: 8+38=46, Resulting Numbers: [10, 46]
Generated Node #0,1,1: 92:[10, 46] Operation: 8+38=46
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[8, 48], Operations: ['74-64=10', '38+10=48']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,92 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 #0,1,1
Current State: 92:[10, 46], Operations: ['74-64=10', '8+38=46']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 10+46=56, Resulting Numbers: [56]
56,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 92:[74, 8, 26], Operations: ['64-38=26']
Exploring Operation: 74+26=100, Resulting Numbers: [8, 100]
Generated Node #0,0,0: 92:[8, 100] Operation: 74+26=100
Exploring Operation: 74-26=48, Resulting Numbers: [8, 48]
Generated Node #0,0,1: 92:[8, 48] Operation: 74-26=48
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[8, 48], Operations: ['64-38=26', '74-26=48']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,92 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:[8, 100], Operations: ['64-38=26', '74+26=100']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[74, 64, 8, 38], Operations: []
Exploring Operation: 64-38=26, Resulting Numbers: [74, 8, 26]
Generated Node #0,0: 92:[74, 8, 26] Operation: 64-38=26
Moving to Node #0,0
Current State: 92:[74, 8, 26], Operations: ['64-38=26']
Exploring Operation: 74+26=100, Resulting Numbers: [8, 100]
Generated Node #0,0,0: 92:[8, 100] Operation: 74+26=100
Moving to Node #0,0,0
Current State: 92:[8, 100], Operations: ['64-38=26', '74+26=100']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
96,
47,
87,
41
] | 97 | [
"96+47=143",
"87-41=46",
"143-46=97"
] | Current State: 97:[96, 47, 87, 41], Operations: []
Exploring Operation: 96+47=143, Resulting Numbers: [87, 41, 143]
Generated Node #2: [87, 41, 143] from Operation: 96+47=143
Current State: 97:[87, 41, 143], Operations: ['96+47=143']
Exploring Operation: 87-41=46, Resulting Numbers: [143, 46]
Generated Node #3: [143, 46] from Operation: 87-41=46
Current State: 97:[143, 46], Operations: ['96+47=143', '87-41=46']
Exploring Operation: 143-46=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[96, 47, 87, 41], Operations: []
Exploring Operation: 47+41=88, Resulting Numbers: [96, 87, 88]
Generated Node #0,0: 97:[96, 87, 88] Operation: 47+41=88
Exploring Operation: 87+41=128, Resulting Numbers: [96, 47, 128]
Generated Node #0,1: 97:[96, 47, 128] Operation: 87+41=128
Exploring Operation: 47+87=134, Resulting Numbers: [96, 41, 134]
Generated Node #0,2: 97:[96, 41, 134] Operation: 47+87=134
Exploring Operation: 96+41=137, Resulting Numbers: [47, 87, 137]
Generated Node #0,3: 97:[47, 87, 137] Operation: 96+41=137
Moving to Node #0,0
Current State: 97:[96, 87, 88], Operations: ['47+41=88']
Exploring Operation: 96+87=183, Resulting Numbers: [88, 183]
Generated Node #0,0,0: 97:[88, 183] Operation: 96+87=183
Exploring Operation: 87+88=175, Resulting Numbers: [96, 175]
Generated Node #0,0,1: 97:[96, 175] Operation: 87+88=175
Exploring Operation: 96+88=184, Resulting Numbers: [87, 184]
Generated Node #0,0,2: 97:[87, 184] Operation: 96+88=184
Exploring Operation: 96-87=9, Resulting Numbers: [88, 9]
Generated Node #0,0,3: 97:[88, 9] Operation: 96-87=9
Moving to Node #0,1
Current State: 97:[96, 47, 128], Operations: ['87+41=128']
Exploring Operation: 128-47=81, Resulting Numbers: [96, 81]
Generated Node #0,1,0: 97:[96, 81] Operation: 128-47=81
Exploring Operation: 96+47=143, Resulting Numbers: [128, 143]
Generated Node #0,1,1: 97:[128, 143] Operation: 96+47=143
Exploring Operation: 47+128=175, Resulting Numbers: [96, 175]
Generated Node #0,1,2: 97:[96, 175] Operation: 47+128=175
Exploring Operation: 96-47=49, Resulting Numbers: [128, 49]
Generated Node #0,1,3: 97:[128, 49] Operation: 96-47=49
Moving to Node #0,2
Current State: 97:[96, 41, 134], Operations: ['47+87=134']
Exploring Operation: 134-41=93, Resulting Numbers: [96, 93]
Generated Node #0,2,0: 97:[96, 93] Operation: 134-41=93
Exploring Operation: 96-41=55, Resulting Numbers: [134, 55]
Generated Node #0,2,1: 97:[134, 55] Operation: 96-41=55
Exploring Operation: 96+41=137, Resulting Numbers: [134, 137]
Generated Node #0,2,2: 97:[134, 137] Operation: 96+41=137
Exploring Operation: 41+134=175, Resulting Numbers: [96, 175]
Generated Node #0,2,3: 97:[96, 175] Operation: 41+134=175
Moving to Node #0,3
Current State: 97:[47, 87, 137], Operations: ['96+41=137']
Exploring Operation: 87-47=40, Resulting Numbers: [137, 40]
Generated Node #0,3,0: 97:[137, 40] Operation: 87-47=40
Exploring Operation: 47+87=134, Resulting Numbers: [137, 134]
Generated Node #0,3,1: 97:[137, 134] Operation: 47+87=134
Exploring Operation: 47+137=184, Resulting Numbers: [87, 184]
Generated Node #0,3,2: 97:[87, 184] Operation: 47+137=184
Exploring Operation: 137-47=90, Resulting Numbers: [87, 90]
Generated Node #0,3,3: 97:[87, 90] Operation: 137-47=90
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[87, 90], Operations: ['96+41=137', '137-47=90']
Exploring Operation: 87+90=177, Resulting Numbers: [177]
177,97 unequal: No Solution
Exploring Operation: 87*90=7830, Resulting Numbers: [7830]
7830,97 unequal: No Solution
Exploring Operation: 90-87=3, Resulting Numbers: [3]
3,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[137, 134], Operations: ['96+41=137', '47+87=134']
Exploring Operation: 137-134=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Exploring Operation: 137+134=271, Resulting Numbers: [271]
271,97 unequal: No Solution
Exploring Operation: 137*134=18358, Resulting Numbers: [18358]
18358,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[137, 40], Operations: ['96+41=137', '87-47=40']
Exploring Operation: 137+40=177, Resulting Numbers: [177]
177,97 unequal: No Solution
Exploring Operation: 137-40=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[96, 47, 87, 41], Operations: []
Exploring Operation: 96+41=137, Resulting Numbers: [47, 87, 137]
Generated Node #0,3: 97:[47, 87, 137] Operation: 96+41=137
Moving to Node #0,3
Current State: 97:[47, 87, 137], Operations: ['96+41=137']
Exploring Operation: 87-47=40, Resulting Numbers: [137, 40]
Generated Node #0,3,0: 97:[137, 40] Operation: 87-47=40
Moving to Node #0,3,0
Current State: 97:[137, 40], Operations: ['96+41=137', '87-47=40']
Exploring Operation: 137-40=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
46,
26,
30,
49
] | 16 | [
"49-46=3",
"30/3=10",
"26-10=16"
] | Current State: 16:[46, 26, 30, 49], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [26, 30, 3]
Generated Node #2: [26, 30, 3] from Operation: 49-46=3
Current State: 16:[26, 30, 3], Operations: ['49-46=3']
Exploring Operation: 30/3=10, Resulting Numbers: [26, 10]
Generated Node #3: [26, 10] from Operation: 30/3=10
Current State: 16:[26, 10], Operations: ['49-46=3', '30/3=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[46, 26, 30, 49], Operations: []
Exploring Operation: 49-30=19, Resulting Numbers: [46, 26, 19]
Generated Node #0,0: 16:[46, 26, 19] Operation: 49-30=19
Exploring Operation: 46-30=16, Resulting Numbers: [26, 49, 16]
Generated Node #0,1: 16:[26, 49, 16] Operation: 46-30=16
Exploring Operation: 46-26=20, Resulting Numbers: [30, 49, 20]
Generated Node #0,2: 16:[30, 49, 20] Operation: 46-26=20
Exploring Operation: 49-46=3, Resulting Numbers: [26, 30, 3]
Generated Node #0,3: 16:[26, 30, 3] Operation: 49-46=3
Moving to Node #0,3
Current State: 16:[26, 30, 3], Operations: ['49-46=3']
Exploring Operation: 30-3=27, Resulting Numbers: [26, 27]
Generated Node #0,3,0: 16:[26, 27] Operation: 30-3=27
Exploring Operation: 26-3=23, Resulting Numbers: [30, 23]
Generated Node #0,3,1: 16:[30, 23] Operation: 26-3=23
Exploring Operation: 30/3=10, Resulting Numbers: [26, 10]
Generated Node #0,3,2: 16:[26, 10] Operation: 30/3=10
Exploring Operation: 30-26=4, Resulting Numbers: [3, 4]
Generated Node #0,3,3: 16:[3, 4] Operation: 30-26=4
Moving to Node #0,1
Current State: 16:[26, 49, 16], Operations: ['46-30=16']
Exploring Operation: 49-16=33, Resulting Numbers: [26, 33]
Generated Node #0,1,0: 16:[26, 33] Operation: 49-16=33
Exploring Operation: 49-26=23, Resulting Numbers: [16, 23]
Generated Node #0,1,1: 16:[16, 23] Operation: 49-26=23
Exploring Operation: 26-16=10, Resulting Numbers: [49, 10]
Generated Node #0,1,2: 16:[49, 10] Operation: 26-16=10
Exploring Operation: 26+49=75, Resulting Numbers: [16, 75]
Generated Node #0,1,3: 16:[16, 75] Operation: 26+49=75
Moving to Node #0,0
Current State: 16:[46, 26, 19], Operations: ['49-30=19']
Exploring Operation: 46+26=72, Resulting Numbers: [19, 72]
Generated Node #0,0,0: 16:[19, 72] Operation: 46+26=72
Exploring Operation: 46-19=27, Resulting Numbers: [26, 27]
Generated Node #0,0,1: 16:[26, 27] Operation: 46-19=27
Exploring Operation: 26-19=7, Resulting Numbers: [46, 7]
Generated Node #0,0,2: 16:[46, 7] Operation: 26-19=7
Exploring Operation: 46-26=20, Resulting Numbers: [19, 20]
Generated Node #0,0,3: 16:[19, 20] Operation: 46-26=20
Moving to Node #0,2
Current State: 16:[30, 49, 20], Operations: ['46-26=20']
Exploring Operation: 30-20=10, Resulting Numbers: [49, 10]
Generated Node #0,2,0: 16:[49, 10] Operation: 30-20=10
Exploring Operation: 49-20=29, Resulting Numbers: [30, 29]
Generated Node #0,2,1: 16:[30, 29] Operation: 49-20=29
Exploring Operation: 49-30=19, Resulting Numbers: [20, 19]
Generated Node #0,2,2: 16:[20, 19] Operation: 49-30=19
Exploring Operation: 30+49=79, Resulting Numbers: [20, 79]
Generated Node #0,2,3: 16:[20, 79] Operation: 30+49=79
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[20, 19], Operations: ['46-26=20', '49-30=19']
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,16 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,16 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 #0,2,1
Current State: 16:[30, 29], Operations: ['46-26=20', '49-20=29']
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,16 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 #0,2,0
Current State: 16:[49, 10], Operations: ['46-26=20', '30-20=10']
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 49*10=490, Resulting Numbers: [490]
490,16 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,16 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 #0,2,3
Current State: 16:[20, 79], Operations: ['46-26=20', '30+49=79']
Exploring Operation: 20*79=1580, Resulting Numbers: [1580]
1580,16 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 20+79=99, Resulting Numbers: [99]
99,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 16:[3, 4], Operations: ['49-46=3', '30-26=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[16, 23], Operations: ['46-30=16', '49-26=23']
Exploring Operation: 16*23=368, Resulting Numbers: [368]
368,16 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Moving to Node #0,0,3
Current State: 16:[19, 20], Operations: ['49-30=19', '46-26=20']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,16 unequal: No Solution
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Moving to Node #0,3,2
Current State: 16:[26, 10], Operations: ['49-46=3', '30/3=10']
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,16 unequal: No Solution
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[46, 26, 30, 49], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [26, 30, 3]
Generated Node #0,3: 16:[26, 30, 3] Operation: 49-46=3
Moving to Node #0,3
Current State: 16:[26, 30, 3], Operations: ['49-46=3']
Exploring Operation: 30/3=10, Resulting Numbers: [26, 10]
Generated Node #0,3,2: 16:[26, 10] Operation: 30/3=10
Moving to Node #0,3,2
Current State: 16:[26, 10], Operations: ['49-46=3', '30/3=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.958333 | hs_4 | mult_heuristic |
[
82,
18,
99,
81
] | 46 | [
"82-18=64",
"99-81=18",
"64-18=46"
] | Current State: 46:[82, 18, 99, 81], Operations: []
Exploring Operation: 82-18=64, Resulting Numbers: [99, 81, 64]
Generated Node #2: [99, 81, 64] from Operation: 82-18=64
Current State: 46:[99, 81, 64], Operations: ['82-18=64']
Exploring Operation: 99-81=18, Resulting Numbers: [64, 18]
Generated Node #3: [64, 18] from Operation: 99-81=18
Current State: 46:[64, 18], Operations: ['82-18=64', '99-81=18']
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[82, 18, 99, 81], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [18, 81, 17]
Generated Node #0,0: 46:[18, 81, 17] Operation: 99-82=17
Exploring Operation: 99-18=81, Resulting Numbers: [82, 81, 81]
Generated Node #0,1: 46:[82, 81, 81] Operation: 99-18=81
Exploring Operation: 82-81=1, Resulting Numbers: [18, 99, 1]
Generated Node #0,2: 46:[18, 99, 1] Operation: 82-81=1
Exploring Operation: 99-81=18, Resulting Numbers: [82, 18, 18]
Generated Node #0,3: 46:[82, 18, 18] Operation: 99-81=18
Exploring Operation: 82-18=64, Resulting Numbers: [99, 81, 64]
Generated Node #0,4: 46:[99, 81, 64] Operation: 82-18=64
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[18, 81, 17], Operations: ['99-82=17']
Exploring Operation: 18+17=35, Resulting Numbers: [81, 35]
Generated Node #0,0,0: 46:[81, 35] Operation: 18+17=35
Exploring Operation: 81-18=63, Resulting Numbers: [17, 63]
Generated Node #0,0,1: 46:[17, 63] Operation: 81-18=63
Exploring Operation: 81-17=64, Resulting Numbers: [18, 64]
Generated Node #0,0,2: 46:[18, 64] Operation: 81-17=64
Exploring Operation: 18-17=1, Resulting Numbers: [81, 1]
Generated Node #0,0,3: 46:[81, 1] Operation: 18-17=1
Exploring Operation: 81+17=98, Resulting Numbers: [18, 98]
Generated Node #0,0,4: 46:[18, 98] Operation: 81+17=98
Moving to Node #0,0,1
Current State: 46:[17, 63], Operations: ['99-82=17', '81-18=63']
Exploring Operation: 17*63=1071, Resulting Numbers: [1071]
1071,46 unequal: No Solution
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[82, 18, 99, 81], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [18, 81, 17]
Generated Node #0,0: 46:[18, 81, 17] Operation: 99-82=17
Moving to Node #0,0
Current State: 46:[18, 81, 17], Operations: ['99-82=17']
Exploring Operation: 81-18=63, Resulting Numbers: [17, 63]
Generated Node #0,0,1: 46:[17, 63] Operation: 81-18=63
Moving to Node #0,0,1
Current State: 46:[17, 63], Operations: ['99-82=17', '81-18=63']
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
11,
66,
55,
36
] | 43 | [
"66*36=2376",
"2376-11=2365",
"2365/55=43"
] | Current State: 43:[11, 66, 55, 36], Operations: []
Exploring Operation: 66*36=2376, Resulting Numbers: [11, 55, 2376]
Generated Node #2: [11, 55, 2376] from Operation: 66*36=2376
Current State: 43:[11, 55, 2376], Operations: ['66*36=2376']
Exploring Operation: 2376-11=2365, Resulting Numbers: [55, 2365]
Generated Node #3: [55, 2365] from Operation: 2376-11=2365
Current State: 43:[55, 2365], Operations: ['66*36=2376', '2376-11=2365']
Exploring Operation: 2365/55=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[11, 66, 55, 36], Operations: []
Exploring Operation: 55-11=44, Resulting Numbers: [66, 36, 44]
Generated Node #0,0: 43:[66, 36, 44] Operation: 55-11=44
Exploring Operation: 66-11=55, Resulting Numbers: [55, 36, 55]
Generated Node #0,1: 43:[55, 36, 55] Operation: 66-11=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[66, 36, 44], Operations: ['55-11=44']
Exploring Operation: 66-44=22, Resulting Numbers: [36, 22]
Generated Node #0,0,0: 43:[36, 22] Operation: 66-44=22
Exploring Operation: 66-36=30, Resulting Numbers: [44, 30]
Generated Node #0,0,1: 43:[44, 30] Operation: 66-36=30
Moving to Node #0,0,1
Current State: 43:[44, 30], Operations: ['55-11=44', '66-36=30']
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,43 unequal: No Solution
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[36, 22], Operations: ['55-11=44', '66-44=22']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,43 unequal: No Solution
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,43 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 #0,1
Current State: 43:[55, 36, 55], Operations: ['66-11=55']
Exploring Operation: 55-36=19, Resulting Numbers: [55, 19]
Generated Node #0,1,0: 43:[55, 19] Operation: 55-36=19
Exploring Operation: 55-36=19, Resulting Numbers: [55, 19]
Generated Node #0,1,1: 43:[55, 19] Operation: 55-36=19
Moving to Node #0,1,0
Current State: 43:[55, 19], Operations: ['66-11=55', '55-36=19']
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,43 unequal: No Solution
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[55, 19], Operations: ['66-11=55', '55-36=19']
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,43 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 |
[
52,
73,
31,
25
] | 36 | [
"52+73=125",
"125/25=5",
"31+5=36"
] | Current State: 36:[52, 73, 31, 25], Operations: []
Exploring Operation: 52+73=125, Resulting Numbers: [31, 25, 125]
Generated Node #2: [31, 25, 125] from Operation: 52+73=125
Current State: 36:[31, 25, 125], Operations: ['52+73=125']
Exploring Operation: 125/25=5, Resulting Numbers: [31, 5]
Generated Node #3: [31, 5] from Operation: 125/25=5
Current State: 36:[31, 5], Operations: ['52+73=125', '125/25=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[52, 73, 31, 25], Operations: []
Exploring Operation: 73-52=21, Resulting Numbers: [31, 25, 21]
Generated Node #0,0: 36:[31, 25, 21] Operation: 73-52=21
Exploring Operation: 73-31=42, Resulting Numbers: [52, 25, 42]
Generated Node #0,1: 36:[52, 25, 42] Operation: 73-31=42
Exploring Operation: 73-25=48, Resulting Numbers: [52, 31, 48]
Generated Node #0,2: 36:[52, 31, 48] Operation: 73-25=48
Moving to Node #0,0
Current State: 36:[31, 25, 21], Operations: ['73-52=21']
Exploring Operation: 25-21=4, Resulting Numbers: [31, 4]
Generated Node #0,0,0: 36:[31, 4] Operation: 25-21=4
Exploring Operation: 31-25=6, Resulting Numbers: [21, 6]
Generated Node #0,0,1: 36:[21, 6] Operation: 31-25=6
Exploring Operation: 31-21=10, Resulting Numbers: [25, 10]
Generated Node #0,0,2: 36:[25, 10] Operation: 31-21=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[21, 6], Operations: ['73-52=21', '31-25=6']
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,36 unequal: No Solution
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[31, 4], Operations: ['73-52=21', '25-21=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 36:[25, 10], Operations: ['73-52=21', '31-21=10']
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,36 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,36 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,36 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: 36:[52, 25, 42], Operations: ['73-31=42']
Exploring Operation: 52-42=10, Resulting Numbers: [25, 10]
Generated Node #0,1,0: 36:[25, 10] Operation: 52-42=10
Exploring Operation: 52-25=27, Resulting Numbers: [42, 27]
Generated Node #0,1,1: 36:[42, 27] Operation: 52-25=27
Exploring Operation: 42-25=17, Resulting Numbers: [52, 17]
Generated Node #0,1,2: 36:[52, 17] Operation: 42-25=17
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[25, 10], Operations: ['73-31=42', '52-42=10']
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,36 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,36 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 #0,1,1
Current State: 36:[42, 27], Operations: ['73-31=42', '52-25=27']
Exploring Operation: 42+27=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 42-27=15, Resulting Numbers: [15]
15,36 unequal: No Solution
Exploring Operation: 42*27=1134, Resulting Numbers: [1134]
1134,36 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 #0,1,2
Current State: 36:[52, 17], Operations: ['73-31=42', '42-25=17']
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 52*17=884, Resulting Numbers: [884]
884,36 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: 36:[52, 31, 48], Operations: ['73-25=48']
Exploring Operation: 52-31=21, Resulting Numbers: [48, 21]
Generated Node #0,2,0: 36:[48, 21] Operation: 52-31=21
Exploring Operation: 52-48=4, Resulting Numbers: [31, 4]
Generated Node #0,2,1: 36:[31, 4] Operation: 52-48=4
Exploring Operation: 48-31=17, Resulting Numbers: [52, 17]
Generated Node #0,2,2: 36:[52, 17] Operation: 48-31=17
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[31, 4], Operations: ['73-25=48', '52-48=4']
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,36 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,36 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 #0,2,0
Current State: 36:[48, 21], Operations: ['73-25=48', '52-31=21']
Exploring Operation: 48+21=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 48*21=1008, Resulting Numbers: [1008]
1008,36 unequal: No Solution
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,36 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 #0,2,2
Current State: 36:[52, 17], Operations: ['73-25=48', '48-31=17']
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 52*17=884, Resulting Numbers: [884]
884,36 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,36 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 |
[
52,
8,
19,
4
] | 40 | [
"52/4=13",
"8+19=27",
"13+27=40"
] | Current State: 40:[52, 8, 19, 4], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [8, 19, 13]
Generated Node #2: [8, 19, 13] from Operation: 52/4=13
Current State: 40:[8, 19, 13], Operations: ['52/4=13']
Exploring Operation: 8+19=27, Resulting Numbers: [13, 27]
Generated Node #3: [13, 27] from Operation: 8+19=27
Current State: 40:[13, 27], Operations: ['52/4=13', '8+19=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[52, 8, 19, 4], Operations: []
Exploring Operation: 52-19=33, Resulting Numbers: [8, 4, 33]
Generated Node #0,0: 40:[8, 4, 33] Operation: 52-19=33
Exploring Operation: 52/4=13, Resulting Numbers: [8, 19, 13]
Generated Node #0,1: 40:[8, 19, 13] Operation: 52/4=13
Exploring Operation: 52-8=44, Resulting Numbers: [19, 4, 44]
Generated Node #0,2: 40:[19, 4, 44] Operation: 52-8=44
Moving to Node #0,1
Current State: 40:[8, 19, 13], Operations: ['52/4=13']
Exploring Operation: 8+13=21, Resulting Numbers: [19, 21]
Generated Node #0,1,0: 40:[19, 21] Operation: 8+13=21
Exploring Operation: 13-8=5, Resulting Numbers: [19, 5]
Generated Node #0,1,1: 40:[19, 5] Operation: 13-8=5
Exploring Operation: 19-13=6, Resulting Numbers: [8, 6]
Generated Node #0,1,2: 40:[8, 6] Operation: 19-13=6
Moving to Node #0,2
Current State: 40:[19, 4, 44], Operations: ['52-8=44']
Exploring Operation: 44-19=25, Resulting Numbers: [4, 25]
Generated Node #0,2,0: 40:[4, 25] Operation: 44-19=25
Exploring Operation: 44-4=40, Resulting Numbers: [19, 40]
Generated Node #0,2,1: 40:[19, 40] Operation: 44-4=40
Exploring Operation: 44/4=11, Resulting Numbers: [19, 11]
Generated Node #0,2,2: 40:[19, 11] Operation: 44/4=11
Moving to Node #0,0
Current State: 40:[8, 4, 33], Operations: ['52-19=33']
Exploring Operation: 33-8=25, Resulting Numbers: [4, 25]
Generated Node #0,0,0: 40:[4, 25] Operation: 33-8=25
Exploring Operation: 4+33=37, Resulting Numbers: [8, 37]
Generated Node #0,0,1: 40:[8, 37] Operation: 4+33=37
Exploring Operation: 8+33=41, Resulting Numbers: [4, 41]
Generated Node #0,0,2: 40:[4, 41] Operation: 8+33=41
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 40:[4, 41], Operations: ['52-19=33', '8+33=41']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,40 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[8, 37], Operations: ['52-19=33', '4+33=37']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,40 unequal: No Solution
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[4, 25], Operations: ['52-19=33', '33-8=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,40 unequal: No Solution
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 40:[19, 5], Operations: ['52/4=13', '13-8=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,40 unequal: No Solution
Moving to Node #0,1,2
Current State: 40:[8, 6], Operations: ['52/4=13', '19-13=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[19, 40], Operations: ['52-8=44', '44-4=40']
Exploring Operation: 19*40=760, Resulting Numbers: [760]
760,40 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[19, 21], Operations: ['52/4=13', '8+13=21']
Exploring Operation: 19*21=399, Resulting Numbers: [399]
399,40 unequal: No Solution
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[52, 8, 19, 4], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [8, 19, 13]
Generated Node #0,1: 40:[8, 19, 13] Operation: 52/4=13
Moving to Node #0,1
Current State: 40:[8, 19, 13], Operations: ['52/4=13']
Exploring Operation: 8+13=21, Resulting Numbers: [19, 21]
Generated Node #0,1,0: 40:[19, 21] Operation: 8+13=21
Moving to Node #0,1,0
Current State: 40:[19, 21], Operations: ['52/4=13', '8+13=21']
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.96875 | hs_3 | mult_heuristic |
[
13,
70,
81,
76
] | 88 | [
"13+70=83",
"81-76=5",
"83+5=88"
] | Current State: 88:[13, 70, 81, 76], Operations: []
Exploring Operation: 13+70=83, Resulting Numbers: [81, 76, 83]
Generated Node #2: [81, 76, 83] from Operation: 13+70=83
Current State: 88:[81, 76, 83], Operations: ['13+70=83']
Exploring Operation: 81-76=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 81-76=5
Current State: 88:[83, 5], Operations: ['13+70=83', '81-76=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[13, 70, 81, 76], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [13, 81, 6]
Generated Node #0,0: 88:[13, 81, 6] Operation: 76-70=6
Moving to Node #0,0
Current State: 88:[13, 81, 6], Operations: ['76-70=6']
Exploring Operation: 81+6=87, Resulting Numbers: [13, 87]
Generated Node #0,0,0: 88:[13, 87] Operation: 81+6=87
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[13, 87], Operations: ['76-70=6', '81+6=87']
Exploring Operation: 13+87=100, Resulting Numbers: [100]
100,88 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 |
[
63,
85,
95,
6
] | 47 | [
"63+85=148",
"95+6=101",
"148-101=47"
] | Current State: 47:[63, 85, 95, 6], Operations: []
Exploring Operation: 63+85=148, Resulting Numbers: [95, 6, 148]
Generated Node #2: [95, 6, 148] from Operation: 63+85=148
Current State: 47:[95, 6, 148], Operations: ['63+85=148']
Exploring Operation: 95+6=101, Resulting Numbers: [148, 101]
Generated Node #3: [148, 101] from Operation: 95+6=101
Current State: 47:[148, 101], Operations: ['63+85=148', '95+6=101']
Exploring Operation: 148-101=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[63, 85, 95, 6], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [85, 6, 32]
Generated Node #0,0: 47:[85, 6, 32] Operation: 95-63=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[85, 6, 32], Operations: ['95-63=32']
Exploring Operation: 85-6=79, Resulting Numbers: [32, 79]
Generated Node #0,0,0: 47:[32, 79] Operation: 85-6=79
Moving to Node #0,0,0
Current State: 47:[32, 79], Operations: ['95-63=32', '85-6=79']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[63, 85, 95, 6], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [85, 6, 32]
Generated Node #0,0: 47:[85, 6, 32] Operation: 95-63=32
Moving to Node #0,0
Current State: 47:[85, 6, 32], Operations: ['95-63=32']
Exploring Operation: 85-6=79, Resulting Numbers: [32, 79]
Generated Node #0,0,0: 47:[32, 79] Operation: 85-6=79
Moving to Node #0,0,0
Current State: 47:[32, 79], Operations: ['95-63=32', '85-6=79']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
45,
38,
43,
88
] | 79 | [
"43-38=5",
"45/5=9",
"88-9=79"
] | Current State: 79:[45, 38, 43, 88], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [45, 88, 5]
Generated Node #2: [45, 88, 5] from Operation: 43-38=5
Current State: 79:[45, 88, 5], Operations: ['43-38=5']
Exploring Operation: 45/5=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 45/5=9
Current State: 79:[88, 9], Operations: ['43-38=5', '45/5=9']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[45, 38, 43, 88], Operations: []
Exploring Operation: 38+43=81, Resulting Numbers: [45, 88, 81]
Generated Node #0,0: 79:[45, 88, 81] Operation: 38+43=81
Moving to Node #0,0
Current State: 79:[45, 88, 81], Operations: ['38+43=81']
Exploring Operation: 88-45=43, Resulting Numbers: [81, 43]
Generated Node #0,0,0: 79:[81, 43] Operation: 88-45=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[81, 43], Operations: ['38+43=81', '88-45=43']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,79 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 |
[
82,
77,
34,
3
] | 67 | [
"82-34=48",
"3*48=144",
"144-77=67"
] | Current State: 67:[82, 77, 34, 3], Operations: []
Exploring Operation: 82-34=48, Resulting Numbers: [77, 3, 48]
Generated Node #2: [77, 3, 48] from Operation: 82-34=48
Current State: 67:[77, 3, 48], Operations: ['82-34=48']
Exploring Operation: 3*48=144, Resulting Numbers: [77, 144]
Generated Node #3: [77, 144] from Operation: 3*48=144
Current State: 67:[77, 144], Operations: ['82-34=48', '3*48=144']
Exploring Operation: 144-77=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[82, 77, 34, 3], Operations: []
Exploring Operation: 77-3=74, Resulting Numbers: [82, 34, 74]
Generated Node #0,0: 67:[82, 34, 74] Operation: 77-3=74
Exploring Operation: 82-3=79, Resulting Numbers: [77, 34, 79]
Generated Node #0,1: 67:[77, 34, 79] Operation: 82-3=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[82, 34, 74], Operations: ['77-3=74']
Exploring Operation: 74-34=40, Resulting Numbers: [82, 40]
Generated Node #0,0,0: 67:[82, 40] Operation: 74-34=40
Exploring Operation: 82-34=48, Resulting Numbers: [74, 48]
Generated Node #0,0,1: 67:[74, 48] Operation: 82-34=48
Moving to Node #0,0,1
Current State: 67:[74, 48], Operations: ['77-3=74', '82-34=48']
Exploring Operation: 74+48=122, Resulting Numbers: [122]
122,67 unequal: No Solution
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[82, 40], Operations: ['77-3=74', '74-34=40']
Exploring Operation: 82+40=122, Resulting Numbers: [122]
122,67 unequal: No Solution
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[77, 34, 79], Operations: ['82-3=79']
Exploring Operation: 79-34=45, Resulting Numbers: [77, 45]
Generated Node #0,1,0: 67:[77, 45] Operation: 79-34=45
Exploring Operation: 77-34=43, Resulting Numbers: [79, 43]
Generated Node #0,1,1: 67:[79, 43] Operation: 77-34=43
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[77, 45], Operations: ['82-3=79', '79-34=45']
Exploring Operation: 77+45=122, Resulting Numbers: [122]
122,67 unequal: No Solution
Exploring Operation: 77-45=32, Resulting Numbers: [32]
32,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[79, 43], Operations: ['82-3=79', '77-34=43']
Exploring Operation: 79+43=122, Resulting Numbers: [122]
122,67 unequal: No Solution
Exploring Operation: 79-43=36, Resulting Numbers: [36]
36,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
32,
74,
12,
68
] | 16 | [
"74-68=6",
"32*6=192",
"192/12=16"
] | Current State: 16:[32, 74, 12, 68], Operations: []
Exploring Operation: 74-68=6, Resulting Numbers: [32, 12, 6]
Generated Node #2: [32, 12, 6] from Operation: 74-68=6
Current State: 16:[32, 12, 6], Operations: ['74-68=6']
Exploring Operation: 32*6=192, Resulting Numbers: [12, 192]
Generated Node #3: [12, 192] from Operation: 32*6=192
Current State: 16:[12, 192], Operations: ['74-68=6', '32*6=192']
Exploring Operation: 192/12=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[32, 74, 12, 68], Operations: []
Exploring Operation: 74-68=6, Resulting Numbers: [32, 12, 6]
Generated Node #0,0: 16:[32, 12, 6] Operation: 74-68=6
Exploring Operation: 74-32=42, Resulting Numbers: [12, 68, 42]
Generated Node #0,1: 16:[12, 68, 42] Operation: 74-32=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[32, 12, 6], Operations: ['74-68=6']
Exploring Operation: 32-12=20, Resulting Numbers: [6, 20]
Generated Node #0,0,0: 16:[6, 20] Operation: 32-12=20
Exploring Operation: 32-6=26, Resulting Numbers: [12, 26]
Generated Node #0,0,1: 16:[12, 26] Operation: 32-6=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[6, 20], Operations: ['74-68=6', '32-12=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 16:[12, 26], Operations: ['74-68=6', '32-6=26']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[12, 68, 42], Operations: ['74-32=42']
Exploring Operation: 68-12=56, Resulting Numbers: [42, 56]
Generated Node #0,1,0: 16:[42, 56] Operation: 68-12=56
Exploring Operation: 68-42=26, Resulting Numbers: [12, 26]
Generated Node #0,1,1: 16:[12, 26] Operation: 68-42=26
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 16:[12, 26], Operations: ['74-32=42', '68-42=26']
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[42, 56], Operations: ['74-32=42', '68-12=56']
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,16 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
50,
65,
13,
6
] | 17 | [
"50+65=115",
"115-13=102",
"102/6=17"
] | Current State: 17:[50, 65, 13, 6], Operations: []
Exploring Operation: 50+65=115, Resulting Numbers: [13, 6, 115]
Generated Node #2: [13, 6, 115] from Operation: 50+65=115
Current State: 17:[13, 6, 115], Operations: ['50+65=115']
Exploring Operation: 115-13=102, Resulting Numbers: [6, 102]
Generated Node #3: [6, 102] from Operation: 115-13=102
Current State: 17:[6, 102], Operations: ['50+65=115', '115-13=102']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[50, 65, 13, 6], Operations: []
Exploring Operation: 50-13=37, Resulting Numbers: [65, 6, 37]
Generated Node #0,0: 17:[65, 6, 37] Operation: 50-13=37
Exploring Operation: 50-6=44, Resulting Numbers: [65, 13, 44]
Generated Node #0,1: 17:[65, 13, 44] Operation: 50-6=44
Exploring Operation: 65/13=5, Resulting Numbers: [50, 6, 5]
Generated Node #0,2: 17:[50, 6, 5] Operation: 65/13=5
Exploring Operation: 65-50=15, Resulting Numbers: [13, 6, 15]
Generated Node #0,3: 17:[13, 6, 15] Operation: 65-50=15
Moving to Node #0,3
Current State: 17:[13, 6, 15], Operations: ['65-50=15']
Exploring Operation: 13+6=19, Resulting Numbers: [15, 19]
Generated Node #0,3,0: 17:[15, 19] Operation: 13+6=19
Exploring Operation: 6+15=21, Resulting Numbers: [13, 21]
Generated Node #0,3,1: 17:[13, 21] Operation: 6+15=21
Exploring Operation: 15-6=9, Resulting Numbers: [13, 9]
Generated Node #0,3,2: 17:[13, 9] Operation: 15-6=9
Exploring Operation: 13-6=7, Resulting Numbers: [15, 7]
Generated Node #0,3,3: 17:[15, 7] Operation: 13-6=7
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 17:[15, 19], Operations: ['65-50=15', '13+6=19']
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,17 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 17:[13, 21], Operations: ['65-50=15', '6+15=21']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 13*21=273, Resulting Numbers: [273]
273,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 17:[13, 9], Operations: ['65-50=15', '15-6=9']
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 13*9=117, Resulting Numbers: [117]
117,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 17:[15, 7], Operations: ['65-50=15', '13-6=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,17 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: 17:[50, 6, 5], Operations: ['65/13=5']
Exploring Operation: 50-6=44, Resulting Numbers: [5, 44]
Generated Node #0,2,0: 17:[5, 44] Operation: 50-6=44
Exploring Operation: 50-5=45, Resulting Numbers: [6, 45]
Generated Node #0,2,1: 17:[6, 45] Operation: 50-5=45
Exploring Operation: 6+5=11, Resulting Numbers: [50, 11]
Generated Node #0,2,2: 17:[50, 11] Operation: 6+5=11
Exploring Operation: 50/5=10, Resulting Numbers: [6, 10]
Generated Node #0,2,3: 17:[6, 10] Operation: 50/5=10
Moving to Node #0,1
Current State: 17:[65, 13, 44], Operations: ['50-6=44']
Exploring Operation: 44-13=31, Resulting Numbers: [65, 31]
Generated Node #0,1,0: 17:[65, 31] Operation: 44-13=31
Exploring Operation: 65/13=5, Resulting Numbers: [44, 5]
Generated Node #0,1,1: 17:[44, 5] Operation: 65/13=5
Exploring Operation: 65-13=52, Resulting Numbers: [44, 52]
Generated Node #0,1,2: 17:[44, 52] Operation: 65-13=52
Exploring Operation: 65-44=21, Resulting Numbers: [13, 21]
Generated Node #0,1,3: 17:[13, 21] Operation: 65-44=21
Moving to Node #0,0
Current State: 17:[65, 6, 37], Operations: ['50-13=37']
Exploring Operation: 65-6=59, Resulting Numbers: [37, 59]
Generated Node #0,0,0: 17:[37, 59] Operation: 65-6=59
Exploring Operation: 65+6=71, Resulting Numbers: [37, 71]
Generated Node #0,0,1: 17:[37, 71] Operation: 65+6=71
Exploring Operation: 65-37=28, Resulting Numbers: [6, 28]
Generated Node #0,0,2: 17:[6, 28] Operation: 65-37=28
Exploring Operation: 37-6=31, Resulting Numbers: [65, 31]
Generated Node #0,0,3: 17:[65, 31] Operation: 37-6=31
Moving to Node #0,1,3
Current State: 17:[13, 21], Operations: ['50-6=44', '65-44=21']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 13*21=273, Resulting Numbers: [273]
273,17 unequal: No Solution
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Moving to Node #0,2,3
Current State: 17:[6, 10], Operations: ['65/13=5', '50/5=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[6, 28], Operations: ['50-13=37', '65-37=28']
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,17 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[6, 45], Operations: ['65/13=5', '50-5=45']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,17 unequal: No Solution
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[44, 5], Operations: ['50-6=44', '65/13=5']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,17 unequal: No Solution
Exploring Operation: 44*5=220, Resulting Numbers: [220]
220,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[5, 44], Operations: ['65/13=5', '50-6=44']
Exploring Operation: 5*44=220, Resulting Numbers: [220]
220,17 unequal: No Solution
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,17 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[50, 11], Operations: ['65/13=5', '6+5=11']
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,17 unequal: No Solution
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,17 unequal: No Solution
Exploring Operation: 50*11=550, Resulting Numbers: [550]
550,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[65, 31], Operations: ['50-6=44', '44-13=31']
Exploring Operation: 65*31=2015, Resulting Numbers: [2015]
2015,17 unequal: No Solution
Exploring Operation: 65+31=96, Resulting Numbers: [96]
96,17 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[65, 31], Operations: ['50-13=37', '37-6=31']
Exploring Operation: 65+31=96, Resulting Numbers: [96]
96,17 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 65*31=2015, Resulting Numbers: [2015]
2015,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[37, 59], Operations: ['50-13=37', '65-6=59']
Exploring Operation: 37*59=2183, Resulting Numbers: [2183]
2183,17 unequal: No Solution
Exploring Operation: 37+59=96, Resulting Numbers: [96]
96,17 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[44, 52], Operations: ['50-6=44', '65-13=52']
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 44+52=96, Resulting Numbers: [96]
96,17 unequal: No Solution
Exploring Operation: 44*52=2288, Resulting Numbers: [2288]
2288,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[37, 71], Operations: ['50-13=37', '65+6=71']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 37+71=108, Resulting Numbers: [108]
108,17 unequal: No Solution
Exploring Operation: 37*71=2627, Resulting Numbers: [2627]
2627,17 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
21,
10,
63,
15
] | 50 | [
"21*10=210",
"15*210=3150",
"3150/63=50"
] | Current State: 50:[21, 10, 63, 15], Operations: []
Exploring Operation: 21*10=210, Resulting Numbers: [63, 15, 210]
Generated Node #2: [63, 15, 210] from Operation: 21*10=210
Current State: 50:[63, 15, 210], Operations: ['21*10=210']
Exploring Operation: 15*210=3150, Resulting Numbers: [63, 3150]
Generated Node #3: [63, 3150] from Operation: 15*210=3150
Current State: 50:[63, 3150], Operations: ['21*10=210', '15*210=3150']
Exploring Operation: 3150/63=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[21, 10, 63, 15], Operations: []
Exploring Operation: 63-15=48, Resulting Numbers: [21, 10, 48]
Generated Node #0,0: 50:[21, 10, 48] Operation: 63-15=48
Exploring Operation: 63/21=3, Resulting Numbers: [10, 15, 3]
Generated Node #0,1: 50:[10, 15, 3] Operation: 63/21=3
Exploring Operation: 21-15=6, Resulting Numbers: [10, 63, 6]
Generated Node #0,2: 50:[10, 63, 6] Operation: 21-15=6
Exploring Operation: 63-10=53, Resulting Numbers: [21, 15, 53]
Generated Node #0,3: 50:[21, 15, 53] Operation: 63-10=53
Exploring Operation: 63-21=42, Resulting Numbers: [10, 15, 42]
Generated Node #0,4: 50:[10, 15, 42] Operation: 63-21=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[21, 10, 48], Operations: ['63-15=48']
Exploring Operation: 48-21=27, Resulting Numbers: [10, 27]
Generated Node #0,0,0: 50:[10, 27] Operation: 48-21=27
Exploring Operation: 21-10=11, Resulting Numbers: [48, 11]
Generated Node #0,0,1: 50:[48, 11] Operation: 21-10=11
Exploring Operation: 21+10=31, Resulting Numbers: [48, 31]
Generated Node #0,0,2: 50:[48, 31] Operation: 21+10=31
Exploring Operation: 10+48=58, Resulting Numbers: [21, 58]
Generated Node #0,0,3: 50:[21, 58] Operation: 10+48=58
Exploring Operation: 48-10=38, Resulting Numbers: [21, 38]
Generated Node #0,0,4: 50:[21, 38] Operation: 48-10=38
Moving to Node #0,0,0
Current State: 50:[10, 27], Operations: ['63-15=48', '48-21=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[48, 11], Operations: ['63-15=48', '21-10=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,50 unequal: No Solution
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[48, 31], Operations: ['63-15=48', '21+10=31']
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 48*31=1488, Resulting Numbers: [1488]
1488,50 unequal: No Solution
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[21, 58], Operations: ['63-15=48', '10+48=58']
Exploring Operation: 21*58=1218, Resulting Numbers: [1218]
1218,50 unequal: No Solution
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,50 unequal: No Solution
Moving to Node #0,0,4
Current State: 50:[21, 38], Operations: ['63-15=48', '48-10=38']
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 21*38=798, Resulting Numbers: [798]
798,50 unequal: No Solution
Exploring Operation: 21+38=59, Resulting Numbers: [59]
59,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[10, 15, 3], Operations: ['63/21=3']
Exploring Operation: 15-3=12, Resulting Numbers: [10, 12]
Generated Node #0,1,0: 50:[10, 12] Operation: 15-3=12
Exploring Operation: 15*3=45, Resulting Numbers: [10, 45]
Generated Node #0,1,1: 50:[10, 45] Operation: 15*3=45
Exploring Operation: 10+15=25, Resulting Numbers: [3, 25]
Generated Node #0,1,2: 50:[3, 25] Operation: 10+15=25
Exploring Operation: 15-10=5, Resulting Numbers: [3, 5]
Generated Node #0,1,3: 50:[3, 5] Operation: 15-10=5
Exploring Operation: 15/3=5, Resulting Numbers: [10, 5]
Generated Node #0,1,4: 50:[10, 5] Operation: 15/3=5
Moving to Node #0,1,4
Current State: 50:[10, 5], Operations: ['63/21=3', '15/3=5']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[21, 10, 63, 15], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [10, 15, 3]
Generated Node #0,1: 50:[10, 15, 3] Operation: 63/21=3
Moving to Node #0,1
Current State: 50:[10, 15, 3], Operations: ['63/21=3']
Exploring Operation: 15/3=5, Resulting Numbers: [10, 5]
Generated Node #0,1,4: 50:[10, 5] Operation: 15/3=5
Moving to Node #0,1,4
Current State: 50:[10, 5], Operations: ['63/21=3', '15/3=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
69,
83,
84,
97
] | 63 | [
"97-83=14",
"84/14=6",
"69-6=63"
] | Current State: 63:[69, 83, 84, 97], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [69, 84, 14]
Generated Node #2: [69, 84, 14] from Operation: 97-83=14
Current State: 63:[69, 84, 14], Operations: ['97-83=14']
Exploring Operation: 84/14=6, Resulting Numbers: [69, 6]
Generated Node #3: [69, 6] from Operation: 84/14=6
Current State: 63:[69, 6], Operations: ['97-83=14', '84/14=6']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[69, 83, 84, 97], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [69, 97, 1]
Generated Node #0,0: 63:[69, 97, 1] Operation: 84-83=1
Exploring Operation: 83-69=14, Resulting Numbers: [84, 97, 14]
Generated Node #0,1: 63:[84, 97, 14] Operation: 83-69=14
Exploring Operation: 97-84=13, Resulting Numbers: [69, 83, 13]
Generated Node #0,2: 63:[69, 83, 13] Operation: 97-84=13
Exploring Operation: 97-83=14, Resulting Numbers: [69, 84, 14]
Generated Node #0,3: 63:[69, 84, 14] Operation: 97-83=14
Exploring Operation: 97-69=28, Resulting Numbers: [83, 84, 28]
Generated Node #0,4: 63:[83, 84, 28] Operation: 97-69=28
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[69, 83, 13], Operations: ['97-84=13']
Exploring Operation: 69+13=82, Resulting Numbers: [83, 82]
Generated Node #0,2,0: 63:[83, 82] Operation: 69+13=82
Exploring Operation: 69-13=56, Resulting Numbers: [83, 56]
Generated Node #0,2,1: 63:[83, 56] Operation: 69-13=56
Exploring Operation: 83-13=70, Resulting Numbers: [69, 70]
Generated Node #0,2,2: 63:[69, 70] Operation: 83-13=70
Exploring Operation: 83+13=96, Resulting Numbers: [69, 96]
Generated Node #0,2,3: 63:[69, 96] Operation: 83+13=96
Exploring Operation: 83-69=14, Resulting Numbers: [13, 14]
Generated Node #0,2,4: 63:[13, 14] Operation: 83-69=14
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 63:[13, 14], Operations: ['97-84=13', '83-69=14']
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,63 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 63:[69, 70], Operations: ['97-84=13', '83-13=70']
Exploring Operation: 69+70=139, Resulting Numbers: [139]
139,63 unequal: No Solution
Exploring Operation: 69*70=4830, Resulting Numbers: [4830]
4830,63 unequal: No Solution
Exploring Operation: 70-69=1, Resulting Numbers: [1]
1,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 63:[83, 56], Operations: ['97-84=13', '69-13=56']
Exploring Operation: 83*56=4648, Resulting Numbers: [4648]
4648,63 unequal: No Solution
Exploring Operation: 83+56=139, Resulting Numbers: [139]
139,63 unequal: No Solution
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 63:[83, 82], Operations: ['97-84=13', '69+13=82']
Exploring Operation: 83*82=6806, Resulting Numbers: [6806]
6806,63 unequal: No Solution
Exploring Operation: 83-82=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 83+82=165, Resulting Numbers: [165]
165,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 63:[69, 96], Operations: ['97-84=13', '83+13=96']
Exploring Operation: 69+96=165, Resulting Numbers: [165]
165,63 unequal: No Solution
Exploring Operation: 96-69=27, Resulting Numbers: [27]
27,63 unequal: No Solution
Exploring Operation: 69*96=6624, Resulting Numbers: [6624]
6624,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 63:[69, 84, 14], Operations: ['97-83=14']
Exploring Operation: 84-14=70, Resulting Numbers: [69, 70]
Generated Node #0,3,0: 63:[69, 70] Operation: 84-14=70
Exploring Operation: 84-69=15, Resulting Numbers: [14, 15]
Generated Node #0,3,1: 63:[14, 15] Operation: 84-69=15
Exploring Operation: 84/14=6, Resulting Numbers: [69, 6]
Generated Node #0,3,2: 63:[69, 6] Operation: 84/14=6
Exploring Operation: 69+14=83, Resulting Numbers: [84, 83]
Generated Node #0,3,3: 63:[84, 83] Operation: 69+14=83
Exploring Operation: 69-14=55, Resulting Numbers: [84, 55]
Generated Node #0,3,4: 63:[84, 55] Operation: 69-14=55
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 63:[69, 6], Operations: ['97-83=14', '84/14=6']
Exploring Operation: 69*6=414, Resulting Numbers: [414]
414,63 unequal: No Solution
Exploring Operation: 69+6=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[69, 83, 84, 97], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [69, 84, 14]
Generated Node #0,3: 63:[69, 84, 14] Operation: 97-83=14
Moving to Node #0,3
Current State: 63:[69, 84, 14], Operations: ['97-83=14']
Exploring Operation: 84/14=6, Resulting Numbers: [69, 6]
Generated Node #0,3,2: 63:[69, 6] Operation: 84/14=6
Moving to Node #0,3,2
Current State: 63:[69, 6], Operations: ['97-83=14', '84/14=6']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_5 | sum_heuristic |
[
2,
21,
98,
59
] | 99 | [
"98-59=39",
"2*39=78",
"21+78=99"
] | Current State: 99:[2, 21, 98, 59], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [2, 21, 39]
Generated Node #2: [2, 21, 39] from Operation: 98-59=39
Current State: 99:[2, 21, 39], Operations: ['98-59=39']
Exploring Operation: 2*39=78, Resulting Numbers: [21, 78]
Generated Node #3: [21, 78] from Operation: 2*39=78
Current State: 99:[21, 78], Operations: ['98-59=39', '2*39=78']
Exploring Operation: 21+78=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[2, 21, 98, 59], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [2, 21, 39]
Generated Node #0,0: 99:[2, 21, 39] Operation: 98-59=39
Exploring Operation: 59-21=38, Resulting Numbers: [2, 98, 38]
Generated Node #0,1: 99:[2, 98, 38] Operation: 59-21=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[2, 98, 38], Operations: ['59-21=38']
Exploring Operation: 38-2=36, Resulting Numbers: [98, 36]
Generated Node #0,1,0: 99:[98, 36] Operation: 38-2=36
Exploring Operation: 2+98=100, Resulting Numbers: [38, 100]
Generated Node #0,1,1: 99:[38, 100] Operation: 2+98=100
Moving to Node #0,1,0
Current State: 99:[98, 36], Operations: ['59-21=38', '38-2=36']
Exploring Operation: 98-36=62, Resulting Numbers: [62]
62,99 unequal: No Solution
Exploring Operation: 98+36=134, Resulting Numbers: [134]
134,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[38, 100], Operations: ['59-21=38', '2+98=100']
Exploring Operation: 100-38=62, Resulting Numbers: [62]
62,99 unequal: No Solution
Exploring Operation: 38+100=138, Resulting Numbers: [138]
138,99 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 #0,0
Current State: 99:[2, 21, 39], Operations: ['98-59=39']
Exploring Operation: 39-21=18, Resulting Numbers: [2, 18]
Generated Node #0,0,0: 99:[2, 18] Operation: 39-21=18
Exploring Operation: 21-2=19, Resulting Numbers: [39, 19]
Generated Node #0,0,1: 99:[39, 19] Operation: 21-2=19
Moving to Node #0,0,0
Current State: 99:[2, 18], Operations: ['98-59=39', '39-21=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[39, 19], Operations: ['98-59=39', '21-2=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,99 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 |
[
3,
59,
33,
66
] | 23 | [
"59-3=56",
"66-33=33",
"56-33=23"
] | Current State: 23:[3, 59, 33, 66], Operations: []
Exploring Operation: 59-3=56, Resulting Numbers: [33, 66, 56]
Generated Node #2: [33, 66, 56] from Operation: 59-3=56
Current State: 23:[33, 66, 56], Operations: ['59-3=56']
Exploring Operation: 66-33=33, Resulting Numbers: [56, 33]
Generated Node #3: [56, 33] from Operation: 66-33=33
Current State: 23:[56, 33], Operations: ['59-3=56', '66-33=33']
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[3, 59, 33, 66], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [59, 33, 22]
Generated Node #0,0: 23:[59, 33, 22] Operation: 66/3=22
Exploring Operation: 66-59=7, Resulting Numbers: [3, 33, 7]
Generated Node #0,1: 23:[3, 33, 7] Operation: 66-59=7
Moving to Node #0,1
Current State: 23:[3, 33, 7], Operations: ['66-59=7']
Exploring Operation: 3*7=21, Resulting Numbers: [33, 21]
Generated Node #0,1,0: 23:[33, 21] Operation: 3*7=21
Exploring Operation: 33-3=30, Resulting Numbers: [7, 30]
Generated Node #0,1,1: 23:[7, 30] Operation: 33-3=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[33, 21], Operations: ['66-59=7', '3*7=21']
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[7, 30], Operations: ['66-59=7', '33-3=30']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[3, 59, 33, 66], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [3, 33, 7]
Generated Node #0,1: 23:[3, 33, 7] Operation: 66-59=7
Moving to Node #0,1
Current State: 23:[3, 33, 7], Operations: ['66-59=7']
Exploring Operation: 33-3=30, Resulting Numbers: [7, 30]
Generated Node #0,1,1: 23:[7, 30] Operation: 33-3=30
Moving to Node #0,1,1
Current State: 23:[7, 30], Operations: ['66-59=7', '33-3=30']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
59,
61,
23,
60
] | 83 | [
"59+61=120",
"60-23=37",
"120-37=83"
] | Current State: 83:[59, 61, 23, 60], Operations: []
Exploring Operation: 59+61=120, Resulting Numbers: [23, 60, 120]
Generated Node #2: [23, 60, 120] from Operation: 59+61=120
Current State: 83:[23, 60, 120], Operations: ['59+61=120']
Exploring Operation: 60-23=37, Resulting Numbers: [120, 37]
Generated Node #3: [120, 37] from Operation: 60-23=37
Current State: 83:[120, 37], Operations: ['59+61=120', '60-23=37']
Exploring Operation: 120-37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[59, 61, 23, 60], Operations: []
Exploring Operation: 59-23=36, Resulting Numbers: [61, 60, 36]
Generated Node #0,0: 83:[61, 60, 36] Operation: 59-23=36
Exploring Operation: 23+60=83, Resulting Numbers: [59, 61, 83]
Generated Node #0,1: 83:[59, 61, 83] Operation: 23+60=83
Exploring Operation: 61+23=84, Resulting Numbers: [59, 60, 84]
Generated Node #0,2: 83:[59, 60, 84] Operation: 61+23=84
Exploring Operation: 59+23=82, Resulting Numbers: [61, 60, 82]
Generated Node #0,3: 83:[61, 60, 82] Operation: 59+23=82
Moving to Node #0,1
Current State: 83:[59, 61, 83], Operations: ['23+60=83']
Exploring Operation: 61-59=2, Resulting Numbers: [83, 2]
Generated Node #0,1,0: 83:[83, 2] Operation: 61-59=2
Exploring Operation: 59+83=142, Resulting Numbers: [61, 142]
Generated Node #0,1,1: 83:[61, 142] Operation: 59+83=142
Exploring Operation: 59+61=120, Resulting Numbers: [83, 120]
Generated Node #0,1,2: 83:[83, 120] Operation: 59+61=120
Exploring Operation: 83-59=24, Resulting Numbers: [61, 24]
Generated Node #0,1,3: 83:[61, 24] Operation: 83-59=24
Moving to Node #0,3
Current State: 83:[61, 60, 82], Operations: ['59+23=82']
Exploring Operation: 61+82=143, Resulting Numbers: [60, 143]
Generated Node #0,3,0: 83:[60, 143] Operation: 61+82=143
Exploring Operation: 61+60=121, Resulting Numbers: [82, 121]
Generated Node #0,3,1: 83:[82, 121] Operation: 61+60=121
Exploring Operation: 61-60=1, Resulting Numbers: [82, 1]
Generated Node #0,3,2: 83:[82, 1] Operation: 61-60=1
Exploring Operation: 60+82=142, Resulting Numbers: [61, 142]
Generated Node #0,3,3: 83:[61, 142] Operation: 60+82=142
Moving to Node #0,2
Current State: 83:[59, 60, 84], Operations: ['61+23=84']
Exploring Operation: 60-59=1, Resulting Numbers: [84, 1]
Generated Node #0,2,0: 83:[84, 1] Operation: 60-59=1
Exploring Operation: 84-59=25, Resulting Numbers: [60, 25]
Generated Node #0,2,1: 83:[60, 25] Operation: 84-59=25
Exploring Operation: 59+60=119, Resulting Numbers: [84, 119]
Generated Node #0,2,2: 83:[84, 119] Operation: 59+60=119
Exploring Operation: 59+84=143, Resulting Numbers: [60, 143]
Generated Node #0,2,3: 83:[60, 143] Operation: 59+84=143
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[84, 119], Operations: ['61+23=84', '59+60=119']
Exploring Operation: 84+119=203, Resulting Numbers: [203]
203,83 unequal: No Solution
Exploring Operation: 119-84=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Exploring Operation: 84*119=9996, Resulting Numbers: [9996]
9996,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[60, 25], Operations: ['61+23=84', '84-59=25']
Exploring Operation: 60*25=1500, Resulting Numbers: [1500]
1500,83 unequal: No Solution
Exploring Operation: 60+25=85, Resulting Numbers: [85]
85,83 unequal: No Solution
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[84, 1], Operations: ['61+23=84', '60-59=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[59, 61, 23, 60], Operations: []
Exploring Operation: 61+23=84, Resulting Numbers: [59, 60, 84]
Generated Node #0,2: 83:[59, 60, 84] Operation: 61+23=84
Moving to Node #0,2
Current State: 83:[59, 60, 84], Operations: ['61+23=84']
Exploring Operation: 60-59=1, Resulting Numbers: [84, 1]
Generated Node #0,2,0: 83:[84, 1] Operation: 60-59=1
Moving to Node #0,2,0
Current State: 83:[84, 1], Operations: ['61+23=84', '60-59=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_4 | mult_heuristic |
[
95,
7,
38,
9
] | 73 | [
"95+7=102",
"38-9=29",
"102-29=73"
] | Current State: 73:[95, 7, 38, 9], Operations: []
Exploring Operation: 95+7=102, Resulting Numbers: [38, 9, 102]
Generated Node #2: [38, 9, 102] from Operation: 95+7=102
Current State: 73:[38, 9, 102], Operations: ['95+7=102']
Exploring Operation: 38-9=29, Resulting Numbers: [102, 29]
Generated Node #3: [102, 29] from Operation: 38-9=29
Current State: 73:[102, 29], Operations: ['95+7=102', '38-9=29']
Exploring Operation: 102-29=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[95, 7, 38, 9], Operations: []
Exploring Operation: 95-9=86, Resulting Numbers: [7, 38, 86]
Generated Node #0,0: 73:[7, 38, 86] Operation: 95-9=86
Exploring Operation: 7*9=63, Resulting Numbers: [95, 38, 63]
Generated Node #0,1: 73:[95, 38, 63] Operation: 7*9=63
Exploring Operation: 95-7=88, Resulting Numbers: [38, 9, 88]
Generated Node #0,2: 73:[38, 9, 88] Operation: 95-7=88
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[95, 38, 63], Operations: ['7*9=63']
Exploring Operation: 95+38=133, Resulting Numbers: [63, 133]
Generated Node #0,1,0: 73:[63, 133] Operation: 95+38=133
Exploring Operation: 38+63=101, Resulting Numbers: [95, 101]
Generated Node #0,1,1: 73:[95, 101] Operation: 38+63=101
Exploring Operation: 95-38=57, Resulting Numbers: [63, 57]
Generated Node #0,1,2: 73:[63, 57] Operation: 95-38=57
Moving to Node #0,1,2
Current State: 73:[63, 57], Operations: ['7*9=63', '95-38=57']
Exploring Operation: 63*57=3591, Resulting Numbers: [3591]
3591,73 unequal: No Solution
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 63+57=120, Resulting Numbers: [120]
120,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[95, 101], Operations: ['7*9=63', '38+63=101']
Exploring Operation: 95+101=196, Resulting Numbers: [196]
196,73 unequal: No Solution
Exploring Operation: 101-95=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 95*101=9595, Resulting Numbers: [9595]
9595,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[63, 133], Operations: ['7*9=63', '95+38=133']
Exploring Operation: 63*133=8379, Resulting Numbers: [8379]
8379,73 unequal: No Solution
Exploring Operation: 133-63=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 63+133=196, Resulting Numbers: [196]
196,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[7, 38, 86], Operations: ['95-9=86']
Exploring Operation: 86-7=79, Resulting Numbers: [38, 79]
Generated Node #0,0,0: 73:[38, 79] Operation: 86-7=79
Exploring Operation: 38-7=31, Resulting Numbers: [86, 31]
Generated Node #0,0,1: 73:[86, 31] Operation: 38-7=31
Exploring Operation: 7+38=45, Resulting Numbers: [86, 45]
Generated Node #0,0,2: 73:[86, 45] Operation: 7+38=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[38, 79], Operations: ['95-9=86', '86-7=79']
Exploring Operation: 38*79=3002, Resulting Numbers: [3002]
3002,73 unequal: No Solution
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 38+79=117, Resulting Numbers: [117]
117,73 unequal: No Solution
No 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: 73:[86, 45], Operations: ['95-9=86', '7+38=45']
Exploring Operation: 86+45=131, Resulting Numbers: [131]
131,73 unequal: No Solution
Exploring Operation: 86-45=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 86*45=3870, Resulting Numbers: [3870]
3870,73 unequal: No Solution
No 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: 73:[86, 31], Operations: ['95-9=86', '38-7=31']
Exploring Operation: 86+31=117, Resulting Numbers: [117]
117,73 unequal: No Solution
Exploring Operation: 86-31=55, Resulting Numbers: [55]
55,73 unequal: No Solution
Exploring Operation: 86*31=2666, Resulting Numbers: [2666]
2666,73 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: 73:[38, 9, 88], Operations: ['95-7=88']
Exploring Operation: 38+9=47, Resulting Numbers: [88, 47]
Generated Node #0,2,0: 73:[88, 47] Operation: 38+9=47
Exploring Operation: 88-9=79, Resulting Numbers: [38, 79]
Generated Node #0,2,1: 73:[38, 79] Operation: 88-9=79
Exploring Operation: 38-9=29, Resulting Numbers: [88, 29]
Generated Node #0,2,2: 73:[88, 29] Operation: 38-9=29
Moving to Node #0,2,0
Current State: 73:[88, 47], Operations: ['95-7=88', '38+9=47']
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 88*47=4136, Resulting Numbers: [4136]
4136,73 unequal: No Solution
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[38, 79], Operations: ['95-7=88', '88-9=79']
Exploring Operation: 38+79=117, Resulting Numbers: [117]
117,73 unequal: No Solution
Exploring Operation: 38*79=3002, Resulting Numbers: [3002]
3002,73 unequal: No Solution
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[88, 29], Operations: ['95-7=88', '38-9=29']
Exploring Operation: 88+29=117, Resulting Numbers: [117]
117,73 unequal: No Solution
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Exploring Operation: 88*29=2552, Resulting Numbers: [2552]
2552,73 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 |
[
80,
79,
78,
9
] | 87 | [
"80-79=1",
"78+9=87",
"1*87=87"
] | Current State: 87:[80, 79, 78, 9], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [78, 9, 1]
Generated Node #2: [78, 9, 1] from Operation: 80-79=1
Current State: 87:[78, 9, 1], Operations: ['80-79=1']
Exploring Operation: 78+9=87, Resulting Numbers: [1, 87]
Generated Node #3: [1, 87] from Operation: 78+9=87
Current State: 87:[1, 87], Operations: ['80-79=1', '78+9=87']
Exploring Operation: 1*87=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[80, 79, 78, 9], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [78, 9, 1]
Generated Node #0,0: 87:[78, 9, 1] Operation: 80-79=1
Exploring Operation: 80-78=2, Resulting Numbers: [79, 9, 2]
Generated Node #0,1: 87:[79, 9, 2] Operation: 80-78=2
Exploring Operation: 78+9=87, Resulting Numbers: [80, 79, 87]
Generated Node #0,2: 87:[80, 79, 87] Operation: 78+9=87
Exploring Operation: 79-78=1, Resulting Numbers: [80, 9, 1]
Generated Node #0,3: 87:[80, 9, 1] Operation: 79-78=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[79, 9, 2], Operations: ['80-78=2']
Exploring Operation: 79+9=88, Resulting Numbers: [2, 88]
Generated Node #0,1,0: 87:[2, 88] Operation: 79+9=88
Exploring Operation: 9-2=7, Resulting Numbers: [79, 7]
Generated Node #0,1,1: 87:[79, 7] Operation: 9-2=7
Exploring Operation: 79-2=77, Resulting Numbers: [9, 77]
Generated Node #0,1,2: 87:[9, 77] Operation: 79-2=77
Exploring Operation: 79+2=81, Resulting Numbers: [9, 81]
Generated Node #0,1,3: 87:[9, 81] Operation: 79+2=81
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[2, 88], Operations: ['80-78=2', '79+9=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,87 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,87 unequal: No Solution
Exploring Operation: 2*88=176, Resulting Numbers: [176]
176,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[79, 7], Operations: ['80-78=2', '9-2=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,87 unequal: No Solution
Exploring Operation: 79*7=553, Resulting Numbers: [553]
553,87 unequal: No Solution
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 87:[9, 81], Operations: ['80-78=2', '79+2=81']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,87 unequal: No Solution
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,87 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,87 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[9, 77], Operations: ['80-78=2', '79-2=77']
Exploring Operation: 9*77=693, Resulting Numbers: [693]
693,87 unequal: No Solution
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 9+77=86, Resulting Numbers: [86]
86,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[80, 79, 87], Operations: ['78+9=87']
Exploring Operation: 87-80=7, Resulting Numbers: [79, 7]
Generated Node #0,2,0: 87:[79, 7] Operation: 87-80=7
Exploring Operation: 80-79=1, Resulting Numbers: [87, 1]
Generated Node #0,2,1: 87:[87, 1] Operation: 80-79=1
Exploring Operation: 80+79=159, Resulting Numbers: [87, 159]
Generated Node #0,2,2: 87:[87, 159] Operation: 80+79=159
Exploring Operation: 87-79=8, Resulting Numbers: [80, 8]
Generated Node #0,2,3: 87:[80, 8] Operation: 87-79=8
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 87:[87, 1], Operations: ['78+9=87', '80-79=1']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[80, 79, 78, 9], Operations: []
Exploring Operation: 78+9=87, Resulting Numbers: [80, 79, 87]
Generated Node #0,2: 87:[80, 79, 87] Operation: 78+9=87
Moving to Node #0,2
Current State: 87:[80, 79, 87], Operations: ['78+9=87']
Exploring Operation: 80-79=1, Resulting Numbers: [87, 1]
Generated Node #0,2,1: 87:[87, 1] Operation: 80-79=1
Moving to Node #0,2,1
Current State: 87:[87, 1], Operations: ['78+9=87', '80-79=1']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
36,
65,
4,
1
] | 80 | [
"36*4=144",
"65-1=64",
"144-64=80"
] | Current State: 80:[36, 65, 4, 1], Operations: []
Exploring Operation: 36*4=144, Resulting Numbers: [65, 1, 144]
Generated Node #2: [65, 1, 144] from Operation: 36*4=144
Current State: 80:[65, 1, 144], Operations: ['36*4=144']
Exploring Operation: 65-1=64, Resulting Numbers: [144, 64]
Generated Node #3: [144, 64] from Operation: 65-1=64
Current State: 80:[144, 64], Operations: ['36*4=144', '65-1=64']
Exploring Operation: 144-64=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[36, 65, 4, 1], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [4, 1, 29]
Generated Node #0,0: 80:[4, 1, 29] Operation: 65-36=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[4, 1, 29], Operations: ['65-36=29']
Exploring Operation: 29-4=25, Resulting Numbers: [1, 25]
Generated Node #0,0,0: 80:[1, 25] Operation: 29-4=25
Moving to Node #0,0,0
Current State: 80:[1, 25], Operations: ['65-36=29', '29-4=25']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,80 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 |
[
28,
26,
21,
3
] | 99 | [
"28+26=54",
"54-21=33",
"3*33=99"
] | Current State: 99:[28, 26, 21, 3], Operations: []
Exploring Operation: 28+26=54, Resulting Numbers: [21, 3, 54]
Generated Node #2: [21, 3, 54] from Operation: 28+26=54
Current State: 99:[21, 3, 54], Operations: ['28+26=54']
Exploring Operation: 54-21=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 54-21=33
Current State: 99:[3, 33], Operations: ['28+26=54', '54-21=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[28, 26, 21, 3], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [28, 26, 7]
Generated Node #0,0: 99:[28, 26, 7] Operation: 21/3=7
Exploring Operation: 28-26=2, Resulting Numbers: [21, 3, 2]
Generated Node #0,1: 99:[21, 3, 2] Operation: 28-26=2
Exploring Operation: 26-21=5, Resulting Numbers: [28, 3, 5]
Generated Node #0,2: 99:[28, 3, 5] Operation: 26-21=5
Exploring Operation: 28-21=7, Resulting Numbers: [26, 3, 7]
Generated Node #0,3: 99:[26, 3, 7] Operation: 28-21=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[28, 3, 5], Operations: ['26-21=5']
Exploring Operation: 5-3=2, Resulting Numbers: [28, 2]
Generated Node #0,2,0: 99:[28, 2] Operation: 5-3=2
Exploring Operation: 3+5=8, Resulting Numbers: [28, 8]
Generated Node #0,2,1: 99:[28, 8] Operation: 3+5=8
Exploring Operation: 28+3=31, Resulting Numbers: [5, 31]
Generated Node #0,2,2: 99:[5, 31] Operation: 28+3=31
Exploring Operation: 28+5=33, Resulting Numbers: [3, 33]
Generated Node #0,2,3: 99:[3, 33] Operation: 28+5=33
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 99:[3, 33], Operations: ['26-21=5', '28+5=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[28, 26, 21, 3], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [28, 3, 5]
Generated Node #0,2: 99:[28, 3, 5] Operation: 26-21=5
Moving to Node #0,2
Current State: 99:[28, 3, 5], Operations: ['26-21=5']
Exploring Operation: 28+5=33, Resulting Numbers: [3, 33]
Generated Node #0,2,3: 99:[3, 33] Operation: 28+5=33
Moving to Node #0,2,3
Current State: 99:[3, 33], Operations: ['26-21=5', '28+5=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
90,
5,
34,
1
] | 14 | [
"90-34=56",
"5-1=4",
"56/4=14"
] | Current State: 14:[90, 5, 34, 1], Operations: []
Exploring Operation: 90-34=56, Resulting Numbers: [5, 1, 56]
Generated Node #2: [5, 1, 56] from Operation: 90-34=56
Current State: 14:[5, 1, 56], Operations: ['90-34=56']
Exploring Operation: 5-1=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 5-1=4
Current State: 14:[56, 4], Operations: ['90-34=56', '5-1=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[90, 5, 34, 1], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [34, 1, 18]
Generated Node #0,0: 14:[34, 1, 18] Operation: 90/5=18
Exploring Operation: 90-5=85, Resulting Numbers: [34, 1, 85]
Generated Node #0,1: 14:[34, 1, 85] Operation: 90-5=85
Exploring Operation: 90-34=56, Resulting Numbers: [5, 1, 56]
Generated Node #0,2: 14:[5, 1, 56] Operation: 90-34=56
Exploring Operation: 34-5=29, Resulting Numbers: [90, 1, 29]
Generated Node #0,3: 14:[90, 1, 29] Operation: 34-5=29
Moving to Node #0,0
Current State: 14:[34, 1, 18], Operations: ['90/5=18']
Exploring Operation: 34*1=34, Resulting Numbers: [18, 34]
Generated Node #0,0,0: 14:[18, 34] Operation: 34*1=34
Exploring Operation: 34-1=33, Resulting Numbers: [18, 33]
Generated Node #0,0,1: 14:[18, 33] Operation: 34-1=33
Exploring Operation: 18-1=17, Resulting Numbers: [34, 17]
Generated Node #0,0,2: 14:[34, 17] Operation: 18-1=17
Exploring Operation: 34-18=16, Resulting Numbers: [1, 16]
Generated Node #0,0,3: 14:[1, 16] Operation: 34-18=16
Moving to Node #0,2
Current State: 14:[5, 1, 56], Operations: ['90-34=56']
Exploring Operation: 5+1=6, Resulting Numbers: [56, 6]
Generated Node #0,2,0: 14:[56, 6] Operation: 5+1=6
Exploring Operation: 56-1=55, Resulting Numbers: [5, 55]
Generated Node #0,2,1: 14:[5, 55] Operation: 56-1=55
Exploring Operation: 56-5=51, Resulting Numbers: [1, 51]
Generated Node #0,2,2: 14:[1, 51] Operation: 56-5=51
Exploring Operation: 5*1=5, Resulting Numbers: [56, 5]
Generated Node #0,2,3: 14:[56, 5] Operation: 5*1=5
Moving to Node #0,3
Current State: 14:[90, 1, 29], Operations: ['34-5=29']
Exploring Operation: 29-1=28, Resulting Numbers: [90, 28]
Generated Node #0,3,0: 14:[90, 28] Operation: 29-1=28
Exploring Operation: 90-29=61, Resulting Numbers: [1, 61]
Generated Node #0,3,1: 14:[1, 61] Operation: 90-29=61
Exploring Operation: 90-1=89, Resulting Numbers: [29, 89]
Generated Node #0,3,2: 14:[29, 89] Operation: 90-1=89
Exploring Operation: 90*1=90, Resulting Numbers: [29, 90]
Generated Node #0,3,3: 14:[29, 90] Operation: 90*1=90
Moving to Node #0,1
Current State: 14:[34, 1, 85], Operations: ['90-5=85']
Exploring Operation: 34*1=34, Resulting Numbers: [85, 34]
Generated Node #0,1,0: 14:[85, 34] Operation: 34*1=34
Exploring Operation: 85-1=84, Resulting Numbers: [34, 84]
Generated Node #0,1,1: 14:[34, 84] Operation: 85-1=84
Exploring Operation: 34-1=33, Resulting Numbers: [85, 33]
Generated Node #0,1,2: 14:[85, 33] Operation: 34-1=33
Exploring Operation: 85-34=51, Resulting Numbers: [1, 51]
Generated Node #0,1,3: 14:[1, 51] Operation: 85-34=51
Moving to Node #0,0,3
Current State: 14:[1, 16], Operations: ['90/5=18', '34-18=16']
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[34, 17], Operations: ['90/5=18', '18-1=17']
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 34*17=578, Resulting Numbers: [578]
578,14 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[18, 33], Operations: ['90/5=18', '34-1=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Exploring Operation: 18*33=594, Resulting Numbers: [594]
594,14 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[18, 34], Operations: ['90/5=18', '34*1=34']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 18+34=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 18*34=612, Resulting Numbers: [612]
612,14 unequal: No Solution
Moving to Node #0,1,3
Current State: 14:[1, 51], Operations: ['90-5=85', '85-34=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,14 unequal: No Solution
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Moving to Node #0,2,2
Current State: 14:[1, 51], Operations: ['90-34=56', '56-5=51']
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[5, 55], Operations: ['90-34=56', '56-1=55']
Exploring Operation: 5*55=275, Resulting Numbers: [275]
275,14 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,14 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[56, 6], Operations: ['90-34=56', '5+1=6']
Exploring Operation: 56*6=336, Resulting Numbers: [336]
336,14 unequal: No Solution
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,14 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,14 unequal: No Solution
Moving to Node #0,2,3
Current State: 14:[56, 5], Operations: ['90-34=56', '5*1=5']
Exploring Operation: 56*5=280, Resulting Numbers: [280]
280,14 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Moving to Node #0,3,1
Current State: 14:[1, 61], Operations: ['34-5=29', '90-29=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Exploring Operation: 1+61=62, Resulting Numbers: [62]
62,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[34, 84], Operations: ['90-5=85', '85-1=84']
Exploring Operation: 34*84=2856, Resulting Numbers: [2856]
2856,14 unequal: No Solution
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,14 unequal: No Solution
Exploring Operation: 34+84=118, Resulting Numbers: [118]
118,14 unequal: No Solution
Moving to Node #0,3,0
Current State: 14:[90, 28], Operations: ['34-5=29', '29-1=28']
Exploring Operation: 90+28=118, Resulting Numbers: [118]
118,14 unequal: No Solution
Exploring Operation: 90*28=2520, Resulting Numbers: [2520]
2520,14 unequal: No Solution
Exploring Operation: 90-28=62, Resulting Numbers: [62]
62,14 unequal: No Solution
Moving to Node #0,3,2
Current State: 14:[29, 89], Operations: ['34-5=29', '90-1=89']
Exploring Operation: 29*89=2581, Resulting Numbers: [2581]
2581,14 unequal: No Solution
Exploring Operation: 29+89=118, Resulting Numbers: [118]
118,14 unequal: No Solution
Exploring Operation: 89-29=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Moving to Node #0,1,2
Current State: 14:[85, 33], Operations: ['90-5=85', '34-1=33']
Exploring Operation: 85-33=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 85*33=2805, Resulting Numbers: [2805]
2805,14 unequal: No Solution
Exploring Operation: 85+33=118, Resulting Numbers: [118]
118,14 unequal: No Solution
Moving to Node #0,3,3
Current State: 14:[29, 90], Operations: ['34-5=29', '90*1=90']
Exploring Operation: 29+90=119, Resulting Numbers: [119]
119,14 unequal: No Solution
Exploring Operation: 29*90=2610, Resulting Numbers: [2610]
2610,14 unequal: No Solution
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[85, 34], Operations: ['90-5=85', '34*1=34']
Exploring Operation: 85+34=119, Resulting Numbers: [119]
119,14 unequal: No Solution
Exploring Operation: 85-34=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Exploring Operation: 85*34=2890, Resulting Numbers: [2890]
2890,14 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
50,
23,
3,
54
] | 45 | [
"50-23=27",
"54/3=18",
"27+18=45"
] | Current State: 45:[50, 23, 3, 54], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [3, 54, 27]
Generated Node #2: [3, 54, 27] from Operation: 50-23=27
Current State: 45:[3, 54, 27], Operations: ['50-23=27']
Exploring Operation: 54/3=18, Resulting Numbers: [27, 18]
Generated Node #3: [27, 18] from Operation: 54/3=18
Current State: 45:[27, 18], Operations: ['50-23=27', '54/3=18']
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[50, 23, 3, 54], Operations: []
Exploring Operation: 50-3=47, Resulting Numbers: [23, 54, 47]
Generated Node #0,0: 45:[23, 54, 47] Operation: 50-3=47
Exploring Operation: 54-50=4, Resulting Numbers: [23, 3, 4]
Generated Node #0,1: 45:[23, 3, 4] Operation: 54-50=4
Exploring Operation: 54-23=31, Resulting Numbers: [50, 3, 31]
Generated Node #0,2: 45:[50, 3, 31] Operation: 54-23=31
Exploring Operation: 54/3=18, Resulting Numbers: [50, 23, 18]
Generated Node #0,3: 45:[50, 23, 18] Operation: 54/3=18
Exploring Operation: 23-3=20, Resulting Numbers: [50, 54, 20]
Generated Node #0,4: 45:[50, 54, 20] Operation: 23-3=20
Moving to Node #0,1
Current State: 45:[23, 3, 4], Operations: ['54-50=4']
Exploring Operation: 3*4=12, Resulting Numbers: [23, 12]
Generated Node #0,1,0: 45:[23, 12] Operation: 3*4=12
Exploring Operation: 23-4=19, Resulting Numbers: [3, 19]
Generated Node #0,1,1: 45:[3, 19] Operation: 23-4=19
Exploring Operation: 3+4=7, Resulting Numbers: [23, 7]
Generated Node #0,1,2: 45:[23, 7] Operation: 3+4=7
Exploring Operation: 23-3=20, Resulting Numbers: [4, 20]
Generated Node #0,1,3: 45:[4, 20] Operation: 23-3=20
Exploring Operation: 4-3=1, Resulting Numbers: [23, 1]
Generated Node #0,1,4: 45:[23, 1] Operation: 4-3=1
Moving to Node #0,3
Current State: 45:[50, 23, 18], Operations: ['54/3=18']
Exploring Operation: 50+23=73, Resulting Numbers: [18, 73]
Generated Node #0,3,0: 45:[18, 73] Operation: 50+23=73
Exploring Operation: 50-23=27, Resulting Numbers: [18, 27]
Generated Node #0,3,1: 45:[18, 27] Operation: 50-23=27
Exploring Operation: 23+18=41, Resulting Numbers: [50, 41]
Generated Node #0,3,2: 45:[50, 41] Operation: 23+18=41
Exploring Operation: 23-18=5, Resulting Numbers: [50, 5]
Generated Node #0,3,3: 45:[50, 5] Operation: 23-18=5
Exploring Operation: 50-18=32, Resulting Numbers: [23, 32]
Generated Node #0,3,4: 45:[23, 32] Operation: 50-18=32
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 45:[50, 5], Operations: ['54/3=18', '23-18=5']
Exploring Operation: 50+5=55, Resulting Numbers: [55]
55,45 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[50, 23, 3, 54], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [50, 23, 18]
Generated Node #0,3: 45:[50, 23, 18] Operation: 54/3=18
Moving to Node #0,3
Current State: 45:[50, 23, 18], Operations: ['54/3=18']
Exploring Operation: 23-18=5, Resulting Numbers: [50, 5]
Generated Node #0,3,3: 45:[50, 5] Operation: 23-18=5
Moving to Node #0,3,3
Current State: 45:[50, 5], Operations: ['54/3=18', '23-18=5']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
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