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 |
|---|---|---|---|---|---|---|---|---|
[
26,
62,
2,
93
] | 21 | [
"62-26=36",
"2*36=72",
"93-72=21"
] | Current State: 21:[26, 62, 2, 93], Operations: []
Exploring Operation: 62-26=36, Resulting Numbers: [2, 93, 36]
Generated Node #2: [2, 93, 36] from Operation: 62-26=36
Current State: 21:[2, 93, 36], Operations: ['62-26=36']
Exploring Operation: 2*36=72, Resulting Numbers: [93, 72]
Generated Node #3: [93, 72] from Operation: 2*36=72
Current State: 21:[93, 72], Operations: ['62-26=36', '2*36=72']
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[26, 62, 2, 93], Operations: []
Exploring Operation: 93-62=31, Resulting Numbers: [26, 2, 31]
Generated Node #0,0: 21:[26, 2, 31] Operation: 93-62=31
Exploring Operation: 62/2=31, Resulting Numbers: [26, 93, 31]
Generated Node #0,1: 21:[26, 93, 31] Operation: 62/2=31
Moving to Node #0,0
Current State: 21:[26, 2, 31], Operations: ['93-62=31']
Exploring Operation: 31-26=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 21:[2, 5] Operation: 31-26=5
Exploring Operation: 26-2=24, Resulting Numbers: [31, 24]
Generated Node #0,0,1: 21:[31, 24] Operation: 26-2=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[2, 5], Operations: ['93-62=31', '31-26=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,21 unequal: No Solution
No 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: 21:[31, 24], Operations: ['93-62=31', '26-2=24']
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,21 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: 21:[26, 93, 31], Operations: ['62/2=31']
Exploring Operation: 93-31=62, Resulting Numbers: [26, 62]
Generated Node #0,1,0: 21:[26, 62] Operation: 93-31=62
Exploring Operation: 93/31=3, Resulting Numbers: [26, 3]
Generated Node #0,1,1: 21:[26, 3] Operation: 93/31=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[26, 3], Operations: ['62/2=31', '93/31=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,21 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,21 unequal: No Solution
No 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: 21:[26, 62], Operations: ['62/2=31', '93-31=62']
Exploring Operation: 26+62=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,21 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,
61,
23,
98
] | 77 | [
"61+23=84",
"84/4=21",
"98-21=77"
] | Current State: 77:[4, 61, 23, 98], Operations: []
Exploring Operation: 61+23=84, Resulting Numbers: [4, 98, 84]
Generated Node #2: [4, 98, 84] from Operation: 61+23=84
Current State: 77:[4, 98, 84], Operations: ['61+23=84']
Exploring Operation: 84/4=21, Resulting Numbers: [98, 21]
Generated Node #3: [98, 21] from Operation: 84/4=21
Current State: 77:[98, 21], Operations: ['61+23=84', '84/4=21']
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[4, 61, 23, 98], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [4, 61, 75]
Generated Node #0,0: 77:[4, 61, 75] Operation: 98-23=75
Exploring Operation: 61+23=84, Resulting Numbers: [4, 98, 84]
Generated Node #0,1: 77:[4, 98, 84] Operation: 61+23=84
Exploring Operation: 98-61=37, Resulting Numbers: [4, 23, 37]
Generated Node #0,2: 77:[4, 23, 37] Operation: 98-61=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[4, 61, 75], Operations: ['98-23=75']
Exploring Operation: 75-61=14, Resulting Numbers: [4, 14]
Generated Node #0,0,0: 77:[4, 14] Operation: 75-61=14
Exploring Operation: 4+61=65, Resulting Numbers: [75, 65]
Generated Node #0,0,1: 77:[75, 65] Operation: 4+61=65
Exploring Operation: 4+75=79, Resulting Numbers: [61, 79]
Generated Node #0,0,2: 77:[61, 79] Operation: 4+75=79
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[4, 14], Operations: ['98-23=75', '75-61=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,77 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[75, 65], Operations: ['98-23=75', '4+61=65']
Exploring Operation: 75-65=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 75*65=4875, Resulting Numbers: [4875]
4875,77 unequal: No Solution
Exploring Operation: 75+65=140, Resulting Numbers: [140]
140,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 77:[61, 79], Operations: ['98-23=75', '4+75=79']
Exploring Operation: 61*79=4819, Resulting Numbers: [4819]
4819,77 unequal: No Solution
Exploring Operation: 79-61=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 61+79=140, Resulting Numbers: [140]
140,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[4, 98, 84], Operations: ['61+23=84']
Exploring Operation: 84-4=80, Resulting Numbers: [98, 80]
Generated Node #0,1,0: 77:[98, 80] Operation: 84-4=80
Exploring Operation: 98-4=94, Resulting Numbers: [84, 94]
Generated Node #0,1,1: 77:[84, 94] Operation: 98-4=94
Exploring Operation: 98-84=14, Resulting Numbers: [4, 14]
Generated Node #0,1,2: 77:[4, 14] Operation: 98-84=14
Moving to Node #0,1,2
Current State: 77:[4, 14], Operations: ['61+23=84', '98-84=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,77 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[98, 80], Operations: ['61+23=84', '84-4=80']
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 98*80=7840, Resulting Numbers: [7840]
7840,77 unequal: No Solution
Exploring Operation: 98+80=178, Resulting Numbers: [178]
178,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[84, 94], Operations: ['61+23=84', '98-4=94']
Exploring Operation: 84+94=178, Resulting Numbers: [178]
178,77 unequal: No Solution
Exploring Operation: 94-84=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 84*94=7896, Resulting Numbers: [7896]
7896,77 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 #0,2
Current State: 77:[4, 23, 37], Operations: ['98-61=37']
Exploring Operation: 23+37=60, Resulting Numbers: [4, 60]
Generated Node #0,2,0: 77:[4, 60] Operation: 23+37=60
Exploring Operation: 37-23=14, Resulting Numbers: [4, 14]
Generated Node #0,2,1: 77:[4, 14] Operation: 37-23=14
Exploring Operation: 23-4=19, Resulting Numbers: [37, 19]
Generated Node #0,2,2: 77:[37, 19] Operation: 23-4=19
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 77:[4, 14], Operations: ['98-61=37', '37-23=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,77 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 77:[4, 60], Operations: ['98-61=37', '23+37=60']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,77 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 77:[37, 19], Operations: ['98-61=37', '23-4=19']
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,77 unequal: No Solution
Exploring Operation: 37*19=703, Resulting Numbers: [703]
703,77 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
13,
44,
7,
69
] | 22 | [
"13*7=91",
"44+69=113",
"113-91=22"
] | Current State: 22:[13, 44, 7, 69], Operations: []
Exploring Operation: 13*7=91, Resulting Numbers: [44, 69, 91]
Generated Node #2: [44, 69, 91] from Operation: 13*7=91
Current State: 22:[44, 69, 91], Operations: ['13*7=91']
Exploring Operation: 44+69=113, Resulting Numbers: [91, 113]
Generated Node #3: [91, 113] from Operation: 44+69=113
Current State: 22:[91, 113], Operations: ['13*7=91', '44+69=113']
Exploring Operation: 113-91=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[13, 44, 7, 69], Operations: []
Exploring Operation: 44-7=37, Resulting Numbers: [13, 69, 37]
Generated Node #0,0: 22:[13, 69, 37] Operation: 44-7=37
Exploring Operation: 69-44=25, Resulting Numbers: [13, 7, 25]
Generated Node #0,1: 22:[13, 7, 25] Operation: 69-44=25
Exploring Operation: 44-13=31, Resulting Numbers: [7, 69, 31]
Generated Node #0,2: 22:[7, 69, 31] Operation: 44-13=31
Exploring Operation: 69-13=56, Resulting Numbers: [44, 7, 56]
Generated Node #0,3: 22:[44, 7, 56] Operation: 69-13=56
Moving to Node #0,1
Current State: 22:[13, 7, 25], Operations: ['69-44=25']
Exploring Operation: 25-13=12, Resulting Numbers: [7, 12]
Generated Node #0,1,0: 22:[7, 12] Operation: 25-13=12
Exploring Operation: 13+7=20, Resulting Numbers: [25, 20]
Generated Node #0,1,1: 22:[25, 20] Operation: 13+7=20
Exploring Operation: 25-7=18, Resulting Numbers: [13, 18]
Generated Node #0,1,2: 22:[13, 18] Operation: 25-7=18
Exploring Operation: 13-7=6, Resulting Numbers: [25, 6]
Generated Node #0,1,3: 22:[25, 6] Operation: 13-7=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[7, 12], Operations: ['69-44=25', '25-13=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,22 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 #0,1,1
Current State: 22:[25, 20], Operations: ['69-44=25', '13+7=20']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,22 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,22 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 #0,1,2
Current State: 22:[13, 18], Operations: ['69-44=25', '25-7=18']
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 13*18=234, Resulting Numbers: [234]
234,22 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 #0,1,3
Current State: 22:[25, 6], Operations: ['69-44=25', '13-7=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,22 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,22 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: 22:[44, 7, 56], Operations: ['69-13=56']
Exploring Operation: 56/7=8, Resulting Numbers: [44, 8]
Generated Node #0,3,0: 22:[44, 8] Operation: 56/7=8
Exploring Operation: 56-7=49, Resulting Numbers: [44, 49]
Generated Node #0,3,1: 22:[44, 49] Operation: 56-7=49
Exploring Operation: 56-44=12, Resulting Numbers: [7, 12]
Generated Node #0,3,2: 22:[7, 12] Operation: 56-44=12
Exploring Operation: 44-7=37, Resulting Numbers: [56, 37]
Generated Node #0,3,3: 22:[56, 37] Operation: 44-7=37
Moving to Node #0,2
Current State: 22:[7, 69, 31], Operations: ['44-13=31']
Exploring Operation: 69-7=62, Resulting Numbers: [31, 62]
Generated Node #0,2,0: 22:[31, 62] Operation: 69-7=62
Exploring Operation: 69-31=38, Resulting Numbers: [7, 38]
Generated Node #0,2,1: 22:[7, 38] Operation: 69-31=38
Exploring Operation: 31-7=24, Resulting Numbers: [69, 24]
Generated Node #0,2,2: 22:[69, 24] Operation: 31-7=24
Exploring Operation: 7+69=76, Resulting Numbers: [31, 76]
Generated Node #0,2,3: 22:[31, 76] Operation: 7+69=76
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 22:[7, 38], Operations: ['44-13=31', '69-31=38']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,22 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:[31, 62], Operations: ['44-13=31', '69-7=62']
Exploring Operation: 31*62=1922, Resulting Numbers: [1922]
1922,22 unequal: No Solution
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 62/31=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 31+62=93, Resulting Numbers: [93]
93,22 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 #0,2,2
Current State: 22:[69, 24], Operations: ['44-13=31', '31-7=24']
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,22 unequal: No Solution
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 69*24=1656, Resulting Numbers: [1656]
1656,22 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 #0,2,3
Current State: 22:[31, 76], Operations: ['44-13=31', '7+69=76']
Exploring Operation: 31*76=2356, Resulting Numbers: [2356]
2356,22 unequal: No Solution
Exploring Operation: 31+76=107, Resulting Numbers: [107]
107,22 unequal: No Solution
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,22 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: 22:[13, 69, 37], Operations: ['44-7=37']
Exploring Operation: 13+69=82, Resulting Numbers: [37, 82]
Generated Node #0,0,0: 22:[37, 82] Operation: 13+69=82
Exploring Operation: 69-37=32, Resulting Numbers: [13, 32]
Generated Node #0,0,1: 22:[13, 32] Operation: 69-37=32
Exploring Operation: 69-13=56, Resulting Numbers: [37, 56]
Generated Node #0,0,2: 22:[37, 56] Operation: 69-13=56
Exploring Operation: 37-13=24, Resulting Numbers: [69, 24]
Generated Node #0,0,3: 22:[69, 24] Operation: 37-13=24
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[13, 32], Operations: ['44-7=37', '69-37=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,22 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,22 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 #0,0,2
Current State: 22:[37, 56], Operations: ['44-7=37', '69-13=56']
Exploring Operation: 37+56=93, Resulting Numbers: [93]
93,22 unequal: No Solution
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 37*56=2072, Resulting Numbers: [2072]
2072,22 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 #0,0,3
Current State: 22:[69, 24], Operations: ['44-7=37', '37-13=24']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 69*24=1656, Resulting Numbers: [1656]
1656,22 unequal: No Solution
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,22 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 #0,0,0
Current State: 22:[37, 82], Operations: ['44-7=37', '13+69=82']
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,22 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 22:[7, 12], Operations: ['69-13=56', '56-44=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Moving to Node #0,3,0
Current State: 22:[44, 8], Operations: ['69-13=56', '56/7=8']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,22 unequal: No Solution
Exploring Operation: 44*8=352, Resulting Numbers: [352]
352,22 unequal: No Solution
Moving to Node #0,3,3
Current State: 22:[56, 37], Operations: ['69-13=56', '44-7=37']
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,22 unequal: No Solution
Exploring Operation: 56*37=2072, Resulting Numbers: [2072]
2072,22 unequal: No Solution
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Moving to Node #0,3,1
Current State: 22:[44, 49], Operations: ['69-13=56', '56-7=49']
Exploring Operation: 44*49=2156, Resulting Numbers: [2156]
2156,22 unequal: No Solution
Exploring Operation: 44+49=93, Resulting Numbers: [93]
93,22 unequal: No Solution
Exploring Operation: 49-44=5, Resulting Numbers: [5]
5,22 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
10,
59,
65,
72
] | 11 | [
"72-65=7",
"10*7=70",
"70-59=11"
] | Current State: 11:[10, 59, 65, 72], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [10, 59, 7]
Generated Node #2: [10, 59, 7] from Operation: 72-65=7
Current State: 11:[10, 59, 7], Operations: ['72-65=7']
Exploring Operation: 10*7=70, Resulting Numbers: [59, 70]
Generated Node #3: [59, 70] from Operation: 10*7=70
Current State: 11:[59, 70], Operations: ['72-65=7', '10*7=70']
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[10, 59, 65, 72], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [10, 72, 6]
Generated Node #0,0: 11:[10, 72, 6] Operation: 65-59=6
Exploring Operation: 72-59=13, Resulting Numbers: [10, 65, 13]
Generated Node #0,1: 11:[10, 65, 13] Operation: 72-59=13
Exploring Operation: 59-10=49, Resulting Numbers: [65, 72, 49]
Generated Node #0,2: 11:[65, 72, 49] Operation: 59-10=49
Exploring Operation: 72-65=7, Resulting Numbers: [10, 59, 7]
Generated Node #0,3: 11:[10, 59, 7] Operation: 72-65=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[10, 59, 7], Operations: ['72-65=7']
Exploring Operation: 59-7=52, Resulting Numbers: [10, 52]
Generated Node #0,3,0: 11:[10, 52] Operation: 59-7=52
Exploring Operation: 10-7=3, Resulting Numbers: [59, 3]
Generated Node #0,3,1: 11:[59, 3] Operation: 10-7=3
Exploring Operation: 59-10=49, Resulting Numbers: [7, 49]
Generated Node #0,3,2: 11:[7, 49] Operation: 59-10=49
Exploring Operation: 10+7=17, Resulting Numbers: [59, 17]
Generated Node #0,3,3: 11:[59, 17] Operation: 10+7=17
Moving to Node #0,3,0
Current State: 11:[10, 52], Operations: ['72-65=7', '59-7=52']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 10*52=520, Resulting Numbers: [520]
520,11 unequal: No Solution
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,11 unequal: No Solution
Moving to Node #0,3,2
Current State: 11:[7, 49], Operations: ['72-65=7', '59-10=49']
Exploring Operation: 7*49=343, Resulting Numbers: [343]
343,11 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[59, 17], Operations: ['72-65=7', '10+7=17']
Exploring Operation: 59-17=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 59+17=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 59*17=1003, Resulting Numbers: [1003]
1003,11 unequal: No Solution
Moving to Node #0,3,1
Current State: 11:[59, 3], Operations: ['72-65=7', '10-7=3']
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,11 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,11 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 #0,1
Current State: 11:[10, 65, 13], Operations: ['72-59=13']
Exploring Operation: 13-10=3, Resulting Numbers: [65, 3]
Generated Node #0,1,0: 11:[65, 3] Operation: 13-10=3
Exploring Operation: 65/13=5, Resulting Numbers: [10, 5]
Generated Node #0,1,1: 11:[10, 5] Operation: 65/13=5
Exploring Operation: 65-13=52, Resulting Numbers: [10, 52]
Generated Node #0,1,2: 11:[10, 52] Operation: 65-13=52
Exploring Operation: 65-10=55, Resulting Numbers: [13, 55]
Generated Node #0,1,3: 11:[13, 55] Operation: 65-10=55
Moving to Node #0,1,1
Current State: 11:[10, 5], Operations: ['72-59=13', '65/13=5']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[10, 52], Operations: ['72-59=13', '65-13=52']
Exploring Operation: 10*52=520, Resulting Numbers: [520]
520,11 unequal: No Solution
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,11 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[13, 55], Operations: ['72-59=13', '65-10=55']
Exploring Operation: 13*55=715, Resulting Numbers: [715]
715,11 unequal: No Solution
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 13+55=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[65, 3], Operations: ['72-59=13', '13-10=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,11 unequal: No Solution
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,11 unequal: No Solution
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,11 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 #0,0
Current State: 11:[10, 72, 6], Operations: ['65-59=6']
Exploring Operation: 10+6=16, Resulting Numbers: [72, 16]
Generated Node #0,0,0: 11:[72, 16] Operation: 10+6=16
Exploring Operation: 72/6=12, Resulting Numbers: [10, 12]
Generated Node #0,0,1: 11:[10, 12] Operation: 72/6=12
Exploring Operation: 72-10=62, Resulting Numbers: [6, 62]
Generated Node #0,0,2: 11:[6, 62] Operation: 72-10=62
Exploring Operation: 72-6=66, Resulting Numbers: [10, 66]
Generated Node #0,0,3: 11:[10, 66] Operation: 72-6=66
Moving to Node #0,0,1
Current State: 11:[10, 12], Operations: ['65-59=6', '72/6=12']
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[10, 66], Operations: ['65-59=6', '72-6=66']
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,11 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[6, 62], Operations: ['65-59=6', '72-10=62']
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,11 unequal: No Solution
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,11 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[72, 16], Operations: ['65-59=6', '10+6=16']
Exploring Operation: 72+16=88, Resulting Numbers: [88]
88,11 unequal: No Solution
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 72*16=1152, Resulting Numbers: [1152]
1152,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[65, 72, 49], Operations: ['59-10=49']
Exploring Operation: 72-49=23, Resulting Numbers: [65, 23]
Generated Node #0,2,0: 11:[65, 23] Operation: 72-49=23
Exploring Operation: 65+72=137, Resulting Numbers: [49, 137]
Generated Node #0,2,1: 11:[49, 137] Operation: 65+72=137
Exploring Operation: 65-49=16, Resulting Numbers: [72, 16]
Generated Node #0,2,2: 11:[72, 16] Operation: 65-49=16
Exploring Operation: 72-65=7, Resulting Numbers: [49, 7]
Generated Node #0,2,3: 11:[49, 7] Operation: 72-65=7
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 11:[49, 7], Operations: ['59-10=49', '72-65=7']
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 49*7=343, Resulting Numbers: [343]
343,11 unequal: No Solution
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,11 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 #0,2,0
Current State: 11:[65, 23], Operations: ['59-10=49', '72-49=23']
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,11 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,11 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 #0,2,2
Current State: 11:[72, 16], Operations: ['59-10=49', '65-49=16']
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 72*16=1152, Resulting Numbers: [1152]
1152,11 unequal: No Solution
Exploring Operation: 72+16=88, Resulting Numbers: [88]
88,11 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 #0,2,1
Current State: 11:[49, 137], Operations: ['59-10=49', '65+72=137']
Exploring Operation: 49*137=6713, Resulting Numbers: [6713]
6713,11 unequal: No Solution
Exploring Operation: 49+137=186, Resulting Numbers: [186]
186,11 unequal: No Solution
Exploring Operation: 137-49=88, Resulting Numbers: [88]
88,11 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
No solution found.
| 0 | hs_4 | mult_heuristic |
[
82,
28,
26,
99
] | 19 | [
"82-28=54",
"99-26=73",
"73-54=19"
] | Current State: 19:[82, 28, 26, 99], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [26, 99, 54]
Generated Node #2: [26, 99, 54] from Operation: 82-28=54
Current State: 19:[26, 99, 54], Operations: ['82-28=54']
Exploring Operation: 99-26=73, Resulting Numbers: [54, 73]
Generated Node #3: [54, 73] from Operation: 99-26=73
Current State: 19:[54, 73], Operations: ['82-28=54', '99-26=73']
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[82, 28, 26, 99], Operations: []
Exploring Operation: 99-28=71, Resulting Numbers: [82, 26, 71]
Generated Node #0,0: 19:[82, 26, 71] Operation: 99-28=71
Exploring Operation: 99-82=17, Resulting Numbers: [28, 26, 17]
Generated Node #0,1: 19:[28, 26, 17] Operation: 99-82=17
Exploring Operation: 99-26=73, Resulting Numbers: [82, 28, 73]
Generated Node #0,2: 19:[82, 28, 73] Operation: 99-26=73
Exploring Operation: 82-28=54, Resulting Numbers: [26, 99, 54]
Generated Node #0,3: 19:[26, 99, 54] Operation: 82-28=54
Exploring Operation: 82-26=56, Resulting Numbers: [28, 99, 56]
Generated Node #0,4: 19:[28, 99, 56] Operation: 82-26=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[28, 26, 17], Operations: ['99-82=17']
Exploring Operation: 28-26=2, Resulting Numbers: [17, 2]
Generated Node #0,1,0: 19:[17, 2] Operation: 28-26=2
Exploring Operation: 26+17=43, Resulting Numbers: [28, 43]
Generated Node #0,1,1: 19:[28, 43] Operation: 26+17=43
Exploring Operation: 28-17=11, Resulting Numbers: [26, 11]
Generated Node #0,1,2: 19:[26, 11] Operation: 28-17=11
Exploring Operation: 28+17=45, Resulting Numbers: [26, 45]
Generated Node #0,1,3: 19:[26, 45] Operation: 28+17=45
Exploring Operation: 26-17=9, Resulting Numbers: [28, 9]
Generated Node #0,1,4: 19:[28, 9] Operation: 26-17=9
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[26, 11], Operations: ['99-82=17', '28-17=11']
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,19 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[17, 2], Operations: ['99-82=17', '28-26=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[82, 28, 26, 99], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [28, 26, 17]
Generated Node #0,1: 19:[28, 26, 17] Operation: 99-82=17
Moving to Node #0,1
Current State: 19:[28, 26, 17], Operations: ['99-82=17']
Exploring Operation: 28-26=2, Resulting Numbers: [17, 2]
Generated Node #0,1,0: 19:[17, 2] Operation: 28-26=2
Moving to Node #0,1,0
Current State: 19:[17, 2], Operations: ['99-82=17', '28-26=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
83,
31,
51,
85
] | 85 | [
"83-31=52",
"52-51=1",
"85*1=85"
] | Current State: 85:[83, 31, 51, 85], Operations: []
Exploring Operation: 83-31=52, Resulting Numbers: [51, 85, 52]
Generated Node #2: [51, 85, 52] from Operation: 83-31=52
Current State: 85:[51, 85, 52], Operations: ['83-31=52']
Exploring Operation: 52-51=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 52-51=1
Current State: 85:[85, 1], Operations: ['83-31=52', '52-51=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[83, 31, 51, 85], Operations: []
Exploring Operation: 31+51=82, Resulting Numbers: [83, 85, 82]
Generated Node #0,0: 85:[83, 85, 82] Operation: 31+51=82
Exploring Operation: 51-31=20, Resulting Numbers: [83, 85, 20]
Generated Node #0,1: 85:[83, 85, 20] Operation: 51-31=20
Exploring Operation: 83-51=32, Resulting Numbers: [31, 85, 32]
Generated Node #0,2: 85:[31, 85, 32] Operation: 83-51=32
Exploring Operation: 85-51=34, Resulting Numbers: [83, 31, 34]
Generated Node #0,3: 85:[83, 31, 34] Operation: 85-51=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[83, 85, 82], Operations: ['31+51=82']
Exploring Operation: 85-82=3, Resulting Numbers: [83, 3]
Generated Node #0,0,0: 85:[83, 3] Operation: 85-82=3
Exploring Operation: 85-83=2, Resulting Numbers: [82, 2]
Generated Node #0,0,1: 85:[82, 2] Operation: 85-83=2
Exploring Operation: 83-82=1, Resulting Numbers: [85, 1]
Generated Node #0,0,2: 85:[85, 1] Operation: 83-82=1
Exploring Operation: 83+82=165, Resulting Numbers: [85, 165]
Generated Node #0,0,3: 85:[85, 165] Operation: 83+82=165
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[83, 3], Operations: ['31+51=82', '85-82=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,85 unequal: No Solution
Exploring Operation: 83*3=249, Resulting Numbers: [249]
249,85 unequal: No Solution
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 85:[85, 1], Operations: ['31+51=82', '83-82=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[83, 31, 51, 85], Operations: []
Exploring Operation: 31+51=82, Resulting Numbers: [83, 85, 82]
Generated Node #0,0: 85:[83, 85, 82] Operation: 31+51=82
Moving to Node #0,0
Current State: 85:[83, 85, 82], Operations: ['31+51=82']
Exploring Operation: 83-82=1, Resulting Numbers: [85, 1]
Generated Node #0,0,2: 85:[85, 1] Operation: 83-82=1
Moving to Node #0,0,2
Current State: 85:[85, 1], Operations: ['31+51=82', '83-82=1']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
13,
5,
68,
76
] | 18 | [
"13-5=8",
"68+76=144",
"144/8=18"
] | Current State: 18:[13, 5, 68, 76], Operations: []
Exploring Operation: 13-5=8, Resulting Numbers: [68, 76, 8]
Generated Node #2: [68, 76, 8] from Operation: 13-5=8
Current State: 18:[68, 76, 8], Operations: ['13-5=8']
Exploring Operation: 68+76=144, Resulting Numbers: [8, 144]
Generated Node #3: [8, 144] from Operation: 68+76=144
Current State: 18:[8, 144], Operations: ['13-5=8', '68+76=144']
Exploring Operation: 144/8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[13, 5, 68, 76], Operations: []
Exploring Operation: 76-68=8, Resulting Numbers: [13, 5, 8]
Generated Node #0,0: 18:[13, 5, 8] Operation: 76-68=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[13, 5, 8], Operations: ['76-68=8']
Exploring Operation: 13+5=18, Resulting Numbers: [8, 18]
Generated Node #0,0,0: 18:[8, 18] Operation: 13+5=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[8, 18], Operations: ['76-68=8', '13+5=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
52,
67,
94,
15
] | 40 | [
"52+67=119",
"94-15=79",
"119-79=40"
] | Current State: 40:[52, 67, 94, 15], Operations: []
Exploring Operation: 52+67=119, Resulting Numbers: [94, 15, 119]
Generated Node #2: [94, 15, 119] from Operation: 52+67=119
Current State: 40:[94, 15, 119], Operations: ['52+67=119']
Exploring Operation: 94-15=79, Resulting Numbers: [119, 79]
Generated Node #3: [119, 79] from Operation: 94-15=79
Current State: 40:[119, 79], Operations: ['52+67=119', '94-15=79']
Exploring Operation: 119-79=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[52, 67, 94, 15], Operations: []
Exploring Operation: 94-67=27, Resulting Numbers: [52, 15, 27]
Generated Node #0,0: 40:[52, 15, 27] Operation: 94-67=27
Exploring Operation: 94-52=42, Resulting Numbers: [67, 15, 42]
Generated Node #0,1: 40:[67, 15, 42] Operation: 94-52=42
Moving to Node #0,0
Current State: 40:[52, 15, 27], Operations: ['94-67=27']
Exploring Operation: 52-27=25, Resulting Numbers: [15, 25]
Generated Node #0,0,0: 40:[15, 25] Operation: 52-27=25
Exploring Operation: 52-15=37, Resulting Numbers: [27, 37]
Generated Node #0,0,1: 40:[27, 37] Operation: 52-15=37
Moving to Node #0,1
Current State: 40:[67, 15, 42], Operations: ['94-52=42']
Exploring Operation: 67-42=25, Resulting Numbers: [15, 25]
Generated Node #0,1,0: 40:[15, 25] Operation: 67-42=25
Exploring Operation: 67-15=52, Resulting Numbers: [42, 52]
Generated Node #0,1,1: 40:[42, 52] Operation: 67-15=52
Moving to Node #0,0,0
Current State: 40:[15, 25], Operations: ['94-67=27', '52-27=25']
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[52, 67, 94, 15], Operations: []
Exploring Operation: 94-67=27, Resulting Numbers: [52, 15, 27]
Generated Node #0,0: 40:[52, 15, 27] Operation: 94-67=27
Moving to Node #0,0
Current State: 40:[52, 15, 27], Operations: ['94-67=27']
Exploring Operation: 52-27=25, Resulting Numbers: [15, 25]
Generated Node #0,0,0: 40:[15, 25] Operation: 52-27=25
Moving to Node #0,0,0
Current State: 40:[15, 25], Operations: ['94-67=27', '52-27=25']
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
31,
48,
50,
39
] | 35 | [
"31+39=70",
"50-48=2",
"70/2=35"
] | Current State: 35:[31, 48, 50, 39], Operations: []
Exploring Operation: 31+39=70, Resulting Numbers: [48, 50, 70]
Generated Node #2: [48, 50, 70] from Operation: 31+39=70
Current State: 35:[48, 50, 70], Operations: ['31+39=70']
Exploring Operation: 50-48=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 50-48=2
Current State: 35:[70, 2], Operations: ['31+39=70', '50-48=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[31, 48, 50, 39], Operations: []
Exploring Operation: 50-39=11, Resulting Numbers: [31, 48, 11]
Generated Node #0,0: 35:[31, 48, 11] Operation: 50-39=11
Exploring Operation: 48-39=9, Resulting Numbers: [31, 50, 9]
Generated Node #0,1: 35:[31, 50, 9] Operation: 48-39=9
Exploring Operation: 48-31=17, Resulting Numbers: [50, 39, 17]
Generated Node #0,2: 35:[50, 39, 17] Operation: 48-31=17
Exploring Operation: 50-48=2, Resulting Numbers: [31, 39, 2]
Generated Node #0,3: 35:[31, 39, 2] Operation: 50-48=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[31, 39, 2], Operations: ['50-48=2']
Exploring Operation: 39-2=37, Resulting Numbers: [31, 37]
Generated Node #0,3,0: 35:[31, 37] Operation: 39-2=37
Exploring Operation: 31-2=29, Resulting Numbers: [39, 29]
Generated Node #0,3,1: 35:[39, 29] Operation: 31-2=29
Exploring Operation: 39-31=8, Resulting Numbers: [2, 8]
Generated Node #0,3,2: 35:[2, 8] Operation: 39-31=8
Exploring Operation: 31+2=33, Resulting Numbers: [39, 33]
Generated Node #0,3,3: 35:[39, 33] Operation: 31+2=33
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 35:[2, 8], Operations: ['50-48=2', '39-31=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 35:[31, 37], Operations: ['50-48=2', '39-2=37']
Exploring Operation: 31*37=1147, Resulting Numbers: [1147]
1147,35 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 35:[39, 33], Operations: ['50-48=2', '31+2=33']
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,35 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 35:[39, 29], Operations: ['50-48=2', '31-2=29']
Exploring Operation: 39+29=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 39*29=1131, Resulting Numbers: [1131]
1131,35 unequal: No Solution
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[31, 48, 11], Operations: ['50-39=11']
Exploring Operation: 48-11=37, Resulting Numbers: [31, 37]
Generated Node #0,0,0: 35:[31, 37] Operation: 48-11=37
Exploring Operation: 31-11=20, Resulting Numbers: [48, 20]
Generated Node #0,0,1: 35:[48, 20] Operation: 31-11=20
Exploring Operation: 31+11=42, Resulting Numbers: [48, 42]
Generated Node #0,0,2: 35:[48, 42] Operation: 31+11=42
Exploring Operation: 48-31=17, Resulting Numbers: [11, 17]
Generated Node #0,0,3: 35:[11, 17] Operation: 48-31=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[31, 37], Operations: ['50-39=11', '48-11=37']
Exploring Operation: 31*37=1147, Resulting Numbers: [1147]
1147,35 unequal: No Solution
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 35:[11, 17], Operations: ['50-39=11', '48-31=17']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,35 unequal: No Solution
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 35:[48, 42], Operations: ['50-39=11', '31+11=42']
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 48+42=90, Resulting Numbers: [90]
90,35 unequal: No Solution
Exploring Operation: 48*42=2016, Resulting Numbers: [2016]
2016,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[48, 20], Operations: ['50-39=11', '31-11=20']
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,35 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[31, 50, 9], Operations: ['48-39=9']
Exploring Operation: 31+9=40, Resulting Numbers: [50, 40]
Generated Node #0,1,0: 35:[50, 40] Operation: 31+9=40
Exploring Operation: 50-9=41, Resulting Numbers: [31, 41]
Generated Node #0,1,1: 35:[31, 41] Operation: 50-9=41
Exploring Operation: 50-31=19, Resulting Numbers: [9, 19]
Generated Node #0,1,2: 35:[9, 19] Operation: 50-31=19
Exploring Operation: 31-9=22, Resulting Numbers: [50, 22]
Generated Node #0,1,3: 35:[50, 22] Operation: 31-9=22
Moving to Node #0,1,1
Current State: 35:[31, 41], Operations: ['48-39=9', '50-9=41']
Exploring Operation: 31+41=72, Resulting Numbers: [72]
72,35 unequal: No Solution
Exploring Operation: 31*41=1271, Resulting Numbers: [1271]
1271,35 unequal: No Solution
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[9, 19], Operations: ['48-39=9', '50-31=19']
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 9*19=171, Resulting Numbers: [171]
171,35 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[50, 40], Operations: ['48-39=9', '31+9=40']
Exploring Operation: 50+40=90, Resulting Numbers: [90]
90,35 unequal: No Solution
Exploring Operation: 50*40=2000, Resulting Numbers: [2000]
2000,35 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[50, 22], Operations: ['48-39=9', '31-9=22']
Exploring Operation: 50+22=72, Resulting Numbers: [72]
72,35 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 50*22=1100, Resulting Numbers: [1100]
1100,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[50, 39, 17], Operations: ['48-31=17']
Exploring Operation: 50-39=11, Resulting Numbers: [17, 11]
Generated Node #0,2,0: 35:[17, 11] Operation: 50-39=11
Exploring Operation: 39-17=22, Resulting Numbers: [50, 22]
Generated Node #0,2,1: 35:[50, 22] Operation: 39-17=22
Exploring Operation: 50+17=67, Resulting Numbers: [39, 67]
Generated Node #0,2,2: 35:[39, 67] Operation: 50+17=67
Exploring Operation: 50-17=33, Resulting Numbers: [39, 33]
Generated Node #0,2,3: 35:[39, 33] Operation: 50-17=33
Moving to Node #0,2,3
Current State: 35:[39, 33], Operations: ['48-31=17', '50-17=33']
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,35 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[17, 11], Operations: ['48-31=17', '50-39=11']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,35 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[50, 22], Operations: ['48-31=17', '39-17=22']
Exploring Operation: 50*22=1100, Resulting Numbers: [1100]
1100,35 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 50+22=72, Resulting Numbers: [72]
72,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[39, 67], Operations: ['48-31=17', '50+17=67']
Exploring Operation: 39+67=106, Resulting Numbers: [106]
106,35 unequal: No Solution
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 39*67=2613, Resulting Numbers: [2613]
2613,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
68,
69,
47,
51
] | 86 | [
"51-47=4",
"68/4=17",
"69+17=86"
] | Current State: 86:[68, 69, 47, 51], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [68, 69, 4]
Generated Node #2: [68, 69, 4] from Operation: 51-47=4
Current State: 86:[68, 69, 4], Operations: ['51-47=4']
Exploring Operation: 68/4=17, Resulting Numbers: [69, 17]
Generated Node #3: [69, 17] from Operation: 68/4=17
Current State: 86:[69, 17], Operations: ['51-47=4', '68/4=17']
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[68, 69, 47, 51], Operations: []
Exploring Operation: 68-51=17, Resulting Numbers: [69, 47, 17]
Generated Node #0,0: 86:[69, 47, 17] Operation: 68-51=17
Exploring Operation: 69-68=1, Resulting Numbers: [47, 51, 1]
Generated Node #0,1: 86:[47, 51, 1] Operation: 69-68=1
Moving to Node #0,1
Current State: 86:[47, 51, 1], Operations: ['69-68=1']
Exploring Operation: 47-1=46, Resulting Numbers: [51, 46]
Generated Node #0,1,0: 86:[51, 46] Operation: 47-1=46
Exploring Operation: 51-47=4, Resulting Numbers: [1, 4]
Generated Node #0,1,1: 86:[1, 4] Operation: 51-47=4
Moving to Node #0,0
Current State: 86:[69, 47, 17], Operations: ['68-51=17']
Exploring Operation: 69-17=52, Resulting Numbers: [47, 52]
Generated Node #0,0,0: 86:[47, 52] Operation: 69-17=52
Exploring Operation: 69+17=86, Resulting Numbers: [47, 86]
Generated Node #0,0,1: 86:[47, 86] Operation: 69+17=86
Moving to Node #0,1,1
Current State: 86:[1, 4], Operations: ['69-68=1', '51-47=4']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[47, 86], Operations: ['68-51=17', '69+17=86']
Exploring Operation: 86-47=39, Resulting Numbers: [39]
39,86 unequal: No Solution
Exploring Operation: 47+86=133, Resulting Numbers: [133]
133,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[51, 46], Operations: ['69-68=1', '47-1=46']
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 51+46=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[47, 52], Operations: ['68-51=17', '69-17=52']
Exploring Operation: 47+52=99, Resulting Numbers: [99]
99,86 unequal: No Solution
Exploring Operation: 52-47=5, Resulting Numbers: [5]
5,86 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
99,
79,
82
] | 65 | [
"99-3=96",
"79+82=161",
"161-96=65"
] | Current State: 65:[3, 99, 79, 82], Operations: []
Exploring Operation: 99-3=96, Resulting Numbers: [79, 82, 96]
Generated Node #2: [79, 82, 96] from Operation: 99-3=96
Current State: 65:[79, 82, 96], Operations: ['99-3=96']
Exploring Operation: 79+82=161, Resulting Numbers: [96, 161]
Generated Node #3: [96, 161] from Operation: 79+82=161
Current State: 65:[96, 161], Operations: ['99-3=96', '79+82=161']
Exploring Operation: 161-96=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[3, 99, 79, 82], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [3, 99, 3]
Generated Node #0,0: 65:[3, 99, 3] Operation: 82-79=3
Exploring Operation: 99/3=33, Resulting Numbers: [79, 82, 33]
Generated Node #0,1: 65:[79, 82, 33] Operation: 99/3=33
Exploring Operation: 99-82=17, Resulting Numbers: [3, 79, 17]
Generated Node #0,2: 65:[3, 79, 17] Operation: 99-82=17
Exploring Operation: 99-79=20, Resulting Numbers: [3, 82, 20]
Generated Node #0,3: 65:[3, 82, 20] Operation: 99-79=20
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[3, 79, 17], Operations: ['99-82=17']
Exploring Operation: 79-17=62, Resulting Numbers: [3, 62]
Generated Node #0,2,0: 65:[3, 62] Operation: 79-17=62
Exploring Operation: 17-3=14, Resulting Numbers: [79, 14]
Generated Node #0,2,1: 65:[79, 14] Operation: 17-3=14
Exploring Operation: 3+79=82, Resulting Numbers: [17, 82]
Generated Node #0,2,2: 65:[17, 82] Operation: 3+79=82
Exploring Operation: 79-3=76, Resulting Numbers: [17, 76]
Generated Node #0,2,3: 65:[17, 76] Operation: 79-3=76
Moving to Node #0,2,0
Current State: 65:[3, 62], Operations: ['99-82=17', '79-17=62']
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,65 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[3, 99, 79, 82], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [3, 79, 17]
Generated Node #0,2: 65:[3, 79, 17] Operation: 99-82=17
Moving to Node #0,2
Current State: 65:[3, 79, 17], Operations: ['99-82=17']
Exploring Operation: 79-17=62, Resulting Numbers: [3, 62]
Generated Node #0,2,0: 65:[3, 62] Operation: 79-17=62
Moving to Node #0,2,0
Current State: 65:[3, 62], Operations: ['99-82=17', '79-17=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
78,
58,
57,
53
] | 26 | [
"78+58=136",
"57+53=110",
"136-110=26"
] | Current State: 26:[78, 58, 57, 53], Operations: []
Exploring Operation: 78+58=136, Resulting Numbers: [57, 53, 136]
Generated Node #2: [57, 53, 136] from Operation: 78+58=136
Current State: 26:[57, 53, 136], Operations: ['78+58=136']
Exploring Operation: 57+53=110, Resulting Numbers: [136, 110]
Generated Node #3: [136, 110] from Operation: 57+53=110
Current State: 26:[136, 110], Operations: ['78+58=136', '57+53=110']
Exploring Operation: 136-110=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[78, 58, 57, 53], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [58, 57, 25]
Generated Node #0,0: 26:[58, 57, 25] Operation: 78-53=25
Exploring Operation: 78-57=21, Resulting Numbers: [58, 53, 21]
Generated Node #0,1: 26:[58, 53, 21] Operation: 78-57=21
Exploring Operation: 78-58=20, Resulting Numbers: [57, 53, 20]
Generated Node #0,2: 26:[57, 53, 20] Operation: 78-58=20
Moving to Node #0,0
Current State: 26:[58, 57, 25], Operations: ['78-53=25']
Exploring Operation: 58-57=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 26:[25, 1] Operation: 58-57=1
Exploring Operation: 58-25=33, Resulting Numbers: [57, 33]
Generated Node #0,0,1: 26:[57, 33] Operation: 58-25=33
Exploring Operation: 57-25=32, Resulting Numbers: [58, 32]
Generated Node #0,0,2: 26:[58, 32] Operation: 57-25=32
Moving to Node #0,1
Current State: 26:[58, 53, 21], Operations: ['78-57=21']
Exploring Operation: 58-21=37, Resulting Numbers: [53, 37]
Generated Node #0,1,0: 26:[53, 37] Operation: 58-21=37
Exploring Operation: 53-21=32, Resulting Numbers: [58, 32]
Generated Node #0,1,1: 26:[58, 32] Operation: 53-21=32
Exploring Operation: 58-53=5, Resulting Numbers: [21, 5]
Generated Node #0,1,2: 26:[21, 5] Operation: 58-53=5
Moving to Node #0,2
Current State: 26:[57, 53, 20], Operations: ['78-58=20']
Exploring Operation: 53-20=33, Resulting Numbers: [57, 33]
Generated Node #0,2,0: 26:[57, 33] Operation: 53-20=33
Exploring Operation: 57-53=4, Resulting Numbers: [20, 4]
Generated Node #0,2,1: 26:[20, 4] Operation: 57-53=4
Exploring Operation: 57-20=37, Resulting Numbers: [53, 37]
Generated Node #0,2,2: 26:[53, 37] Operation: 57-20=37
Moving to Node #0,0,0
Current State: 26:[25, 1], Operations: ['78-53=25', '58-57=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[78, 58, 57, 53], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [58, 57, 25]
Generated Node #0,0: 26:[58, 57, 25] Operation: 78-53=25
Moving to Node #0,0
Current State: 26:[58, 57, 25], Operations: ['78-53=25']
Exploring Operation: 58-57=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 26:[25, 1] Operation: 58-57=1
Moving to Node #0,0,0
Current State: 26:[25, 1], Operations: ['78-53=25', '58-57=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.985243 | hs_3 | mult_heuristic |
[
79,
63,
2,
48
] | 80 | [
"79-63=16",
"2*48=96",
"96-16=80"
] | Current State: 80:[79, 63, 2, 48], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [2, 48, 16]
Generated Node #2: [2, 48, 16] from Operation: 79-63=16
Current State: 80:[2, 48, 16], Operations: ['79-63=16']
Exploring Operation: 2*48=96, Resulting Numbers: [16, 96]
Generated Node #3: [16, 96] from Operation: 2*48=96
Current State: 80:[16, 96], Operations: ['79-63=16', '2*48=96']
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[79, 63, 2, 48], Operations: []
Exploring Operation: 63+2=65, Resulting Numbers: [79, 48, 65]
Generated Node #0,0: 80:[79, 48, 65] Operation: 63+2=65
Exploring Operation: 48-2=46, Resulting Numbers: [79, 63, 46]
Generated Node #0,1: 80:[79, 63, 46] Operation: 48-2=46
Exploring Operation: 63-48=15, Resulting Numbers: [79, 2, 15]
Generated Node #0,2: 80:[79, 2, 15] Operation: 63-48=15
Exploring Operation: 79-63=16, Resulting Numbers: [2, 48, 16]
Generated Node #0,3: 80:[2, 48, 16] Operation: 79-63=16
Exploring Operation: 48/2=24, Resulting Numbers: [79, 63, 24]
Generated Node #0,4: 80:[79, 63, 24] Operation: 48/2=24
Moving to Node #0,2
Current State: 80:[79, 2, 15], Operations: ['63-48=15']
Exploring Operation: 79-2=77, Resulting Numbers: [15, 77]
Generated Node #0,2,0: 80:[15, 77] Operation: 79-2=77
Exploring Operation: 79+2=81, Resulting Numbers: [15, 81]
Generated Node #0,2,1: 80:[15, 81] Operation: 79+2=81
Exploring Operation: 2*15=30, Resulting Numbers: [79, 30]
Generated Node #0,2,2: 80:[79, 30] Operation: 2*15=30
Exploring Operation: 15-2=13, Resulting Numbers: [79, 13]
Generated Node #0,2,3: 80:[79, 13] Operation: 15-2=13
Exploring Operation: 2+15=17, Resulting Numbers: [79, 17]
Generated Node #0,2,4: 80:[79, 17] Operation: 2+15=17
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[15, 81], Operations: ['63-48=15', '79+2=81']
Exploring Operation: 15*81=1215, Resulting Numbers: [1215]
1215,80 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 15+81=96, Resulting Numbers: [96]
96,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 80:[79, 17], Operations: ['63-48=15', '2+15=17']
Exploring Operation: 79*17=1343, Resulting Numbers: [1343]
1343,80 unequal: No Solution
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[15, 77], Operations: ['63-48=15', '79-2=77']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 15+77=92, Resulting Numbers: [92]
92,80 unequal: No Solution
Exploring Operation: 15*77=1155, Resulting Numbers: [1155]
1155,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 80:[79, 13], Operations: ['63-48=15', '15-2=13']
Exploring Operation: 79-13=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 79*13=1027, Resulting Numbers: [1027]
1027,80 unequal: No Solution
Exploring Operation: 79+13=92, Resulting Numbers: [92]
92,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[79, 30], Operations: ['63-48=15', '2*15=30']
Exploring Operation: 79-30=49, Resulting Numbers: [49]
49,80 unequal: No Solution
Exploring Operation: 79*30=2370, Resulting Numbers: [2370]
2370,80 unequal: No Solution
Exploring Operation: 79+30=109, Resulting Numbers: [109]
109,80 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: 80:[2, 48, 16], Operations: ['79-63=16']
Exploring Operation: 16/2=8, Resulting Numbers: [48, 8]
Generated Node #0,3,0: 80:[48, 8] Operation: 16/2=8
Exploring Operation: 48/16=3, Resulting Numbers: [2, 3]
Generated Node #0,3,1: 80:[2, 3] Operation: 48/16=3
Exploring Operation: 48-2=46, Resulting Numbers: [16, 46]
Generated Node #0,3,2: 80:[16, 46] Operation: 48-2=46
Exploring Operation: 48/2=24, Resulting Numbers: [16, 24]
Generated Node #0,3,3: 80:[16, 24] Operation: 48/2=24
Exploring Operation: 48-16=32, Resulting Numbers: [2, 32]
Generated Node #0,3,4: 80:[2, 32] Operation: 48-16=32
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 80:[2, 3], Operations: ['79-63=16', '48/16=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 80:[16, 24], Operations: ['79-63=16', '48/2=24']
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,80 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 80:[16, 46], Operations: ['79-63=16', '48-2=46']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,80 unequal: No Solution
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 80:[48, 8], Operations: ['79-63=16', '16/2=8']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,80 unequal: No Solution
Exploring Operation: 48*8=384, Resulting Numbers: [384]
384,80 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 80:[2, 32], Operations: ['79-63=16', '48-16=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,80 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: 80:[79, 63, 24], Operations: ['48/2=24']
Exploring Operation: 79-63=16, Resulting Numbers: [24, 16]
Generated Node #0,4,0: 80:[24, 16] Operation: 79-63=16
Exploring Operation: 63+24=87, Resulting Numbers: [79, 87]
Generated Node #0,4,1: 80:[79, 87] Operation: 63+24=87
Exploring Operation: 79-24=55, Resulting Numbers: [63, 55]
Generated Node #0,4,2: 80:[63, 55] Operation: 79-24=55
Exploring Operation: 63-24=39, Resulting Numbers: [79, 39]
Generated Node #0,4,3: 80:[79, 39] Operation: 63-24=39
Exploring Operation: 79+24=103, Resulting Numbers: [63, 103]
Generated Node #0,4,4: 80:[63, 103] Operation: 79+24=103
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 80:[79, 39], Operations: ['48/2=24', '63-24=39']
Exploring Operation: 79+39=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Exploring Operation: 79*39=3081, Resulting Numbers: [3081]
3081,80 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 80:[24, 16], Operations: ['48/2=24', '79-63=16']
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,80 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 80:[79, 87], Operations: ['48/2=24', '63+24=87']
Exploring Operation: 79+87=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 79*87=6873, Resulting Numbers: [6873]
6873,80 unequal: No Solution
Exploring Operation: 87-79=8, Resulting Numbers: [8]
8,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 80:[63, 55], Operations: ['48/2=24', '79-24=55']
Exploring Operation: 63-55=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 63*55=3465, Resulting Numbers: [3465]
3465,80 unequal: No Solution
Exploring Operation: 63+55=118, Resulting Numbers: [118]
118,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 80:[63, 103], Operations: ['48/2=24', '79+24=103']
Exploring Operation: 63+103=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 103-63=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 63*103=6489, Resulting Numbers: [6489]
6489,80 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: 80:[79, 48, 65], Operations: ['63+2=65']
Exploring Operation: 79-48=31, Resulting Numbers: [65, 31]
Generated Node #0,0,0: 80:[65, 31] Operation: 79-48=31
Exploring Operation: 48+65=113, Resulting Numbers: [79, 113]
Generated Node #0,0,1: 80:[79, 113] Operation: 48+65=113
Exploring Operation: 65-48=17, Resulting Numbers: [79, 17]
Generated Node #0,0,2: 80:[79, 17] Operation: 65-48=17
Exploring Operation: 79-65=14, Resulting Numbers: [48, 14]
Generated Node #0,0,3: 80:[48, 14] Operation: 79-65=14
Exploring Operation: 79+48=127, Resulting Numbers: [65, 127]
Generated Node #0,0,4: 80:[65, 127] Operation: 79+48=127
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[79, 17], Operations: ['63+2=65', '65-48=17']
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,80 unequal: No Solution
Exploring Operation: 79*17=1343, Resulting Numbers: [1343]
1343,80 unequal: No Solution
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[48, 14], Operations: ['63+2=65', '79-65=14']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 48*14=672, Resulting Numbers: [672]
672,80 unequal: No Solution
Exploring Operation: 48+14=62, Resulting Numbers: [62]
62,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[65, 31], Operations: ['63+2=65', '79-48=31']
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 65*31=2015, Resulting Numbers: [2015]
2015,80 unequal: No Solution
Exploring Operation: 65+31=96, Resulting Numbers: [96]
96,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[79, 113], Operations: ['63+2=65', '48+65=113']
Exploring Operation: 79+113=192, Resulting Numbers: [192]
192,80 unequal: No Solution
Exploring Operation: 113-79=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 79*113=8927, Resulting Numbers: [8927]
8927,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 80:[65, 127], Operations: ['63+2=65', '79+48=127']
Exploring Operation: 65*127=8255, Resulting Numbers: [8255]
8255,80 unequal: No Solution
Exploring Operation: 65+127=192, Resulting Numbers: [192]
192,80 unequal: No Solution
Exploring Operation: 127-65=62, Resulting Numbers: [62]
62,80 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: 80:[79, 63, 46], Operations: ['48-2=46']
Exploring Operation: 79-46=33, Resulting Numbers: [63, 33]
Generated Node #0,1,0: 80:[63, 33] Operation: 79-46=33
Exploring Operation: 63+46=109, Resulting Numbers: [79, 109]
Generated Node #0,1,1: 80:[79, 109] Operation: 63+46=109
Exploring Operation: 63-46=17, Resulting Numbers: [79, 17]
Generated Node #0,1,2: 80:[79, 17] Operation: 63-46=17
Exploring Operation: 79-63=16, Resulting Numbers: [46, 16]
Generated Node #0,1,3: 80:[46, 16] Operation: 79-63=16
Exploring Operation: 79+46=125, Resulting Numbers: [63, 125]
Generated Node #0,1,4: 80:[63, 125] Operation: 79+46=125
Moving to Node #0,1,2
Current State: 80:[79, 17], Operations: ['48-2=46', '63-46=17']
Exploring Operation: 79*17=1343, Resulting Numbers: [1343]
1343,80 unequal: No Solution
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,80 unequal: No Solution
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[46, 16], Operations: ['48-2=46', '79-63=16']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[63, 33], Operations: ['48-2=46', '79-46=33']
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 63*33=2079, Resulting Numbers: [2079]
2079,80 unequal: No Solution
Exploring Operation: 63+33=96, Resulting Numbers: [96]
96,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[79, 109], Operations: ['48-2=46', '63+46=109']
Exploring Operation: 79+109=188, Resulting Numbers: [188]
188,80 unequal: No Solution
Exploring Operation: 109-79=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 79*109=8611, Resulting Numbers: [8611]
8611,80 unequal: No Solution
Moving to Node #0,1,4
Current State: 80:[63, 125], Operations: ['48-2=46', '79+46=125']
Exploring Operation: 125-63=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 63*125=7875, Resulting Numbers: [7875]
7875,80 unequal: No Solution
Exploring Operation: 63+125=188, Resulting Numbers: [188]
188,80 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
42,
91,
76,
67
] | 49 | [
"42*76=3192",
"91+3192=3283",
"3283/67=49"
] | Current State: 49:[42, 91, 76, 67], Operations: []
Exploring Operation: 42*76=3192, Resulting Numbers: [91, 67, 3192]
Generated Node #2: [91, 67, 3192] from Operation: 42*76=3192
Current State: 49:[91, 67, 3192], Operations: ['42*76=3192']
Exploring Operation: 91+3192=3283, Resulting Numbers: [67, 3283]
Generated Node #3: [67, 3283] from Operation: 91+3192=3283
Current State: 49:[67, 3283], Operations: ['42*76=3192', '91+3192=3283']
Exploring Operation: 3283/67=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[42, 91, 76, 67], Operations: []
Exploring Operation: 91-42=49, Resulting Numbers: [76, 67, 49]
Generated Node #0,0: 49:[76, 67, 49] Operation: 91-42=49
Exploring Operation: 91-76=15, Resulting Numbers: [42, 67, 15]
Generated Node #0,1: 49:[42, 67, 15] Operation: 91-76=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[42, 67, 15], Operations: ['91-76=15']
Exploring Operation: 67-42=25, Resulting Numbers: [15, 25]
Generated Node #0,1,0: 49:[15, 25] Operation: 67-42=25
Exploring Operation: 67-15=52, Resulting Numbers: [42, 52]
Generated Node #0,1,1: 49:[42, 52] Operation: 67-15=52
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[42, 52], Operations: ['91-76=15', '67-15=52']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[15, 25], Operations: ['91-76=15', '67-42=25']
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[76, 67, 49], Operations: ['91-42=49']
Exploring Operation: 76-67=9, Resulting Numbers: [49, 9]
Generated Node #0,0,0: 49:[49, 9] Operation: 76-67=9
Exploring Operation: 76-49=27, Resulting Numbers: [67, 27]
Generated Node #0,0,1: 49:[67, 27] Operation: 76-49=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[49, 9], Operations: ['91-42=49', '76-67=9']
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,49 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[67, 27], Operations: ['91-42=49', '76-49=27']
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,49 unequal: No Solution
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
53,
89,
88,
15
] | 68 | [
"53+15=68",
"89-88=1",
"68*1=68"
] | Current State: 68:[53, 89, 88, 15], Operations: []
Exploring Operation: 53+15=68, Resulting Numbers: [89, 88, 68]
Generated Node #2: [89, 88, 68] from Operation: 53+15=68
Current State: 68:[89, 88, 68], Operations: ['53+15=68']
Exploring Operation: 89-88=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 89-88=1
Current State: 68:[68, 1], Operations: ['53+15=68', '89-88=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[53, 89, 88, 15], Operations: []
Exploring Operation: 89-88=1, Resulting Numbers: [53, 15, 1]
Generated Node #0,0: 68:[53, 15, 1] Operation: 89-88=1
Exploring Operation: 89-53=36, Resulting Numbers: [88, 15, 36]
Generated Node #0,1: 68:[88, 15, 36] Operation: 89-53=36
Moving to Node #0,0
Current State: 68:[53, 15, 1], Operations: ['89-88=1']
Exploring Operation: 53-15=38, Resulting Numbers: [1, 38]
Generated Node #0,0,0: 68:[1, 38] Operation: 53-15=38
Exploring Operation: 53+15=68, Resulting Numbers: [1, 68]
Generated Node #0,0,1: 68:[1, 68] Operation: 53+15=68
Moving to Node #0,1
Current State: 68:[88, 15, 36], Operations: ['89-53=36']
Exploring Operation: 88-15=73, Resulting Numbers: [36, 73]
Generated Node #0,1,0: 68:[36, 73] Operation: 88-15=73
Exploring Operation: 88-36=52, Resulting Numbers: [15, 52]
Generated Node #0,1,1: 68:[15, 52] Operation: 88-36=52
Moving to Node #0,0,1
Current State: 68:[1, 68], Operations: ['89-88=1', '53+15=68']
Exploring Operation: 68/1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[53, 89, 88, 15], Operations: []
Exploring Operation: 89-88=1, Resulting Numbers: [53, 15, 1]
Generated Node #0,0: 68:[53, 15, 1] Operation: 89-88=1
Moving to Node #0,0
Current State: 68:[53, 15, 1], Operations: ['89-88=1']
Exploring Operation: 53+15=68, Resulting Numbers: [1, 68]
Generated Node #0,0,1: 68:[1, 68] Operation: 53+15=68
Moving to Node #0,0,1
Current State: 68:[1, 68], Operations: ['89-88=1', '53+15=68']
Exploring Operation: 68/1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
5,
18,
60,
52
] | 99 | [
"18-5=13",
"60+52=112",
"112-13=99"
] | Current State: 99:[5, 18, 60, 52], Operations: []
Exploring Operation: 18-5=13, Resulting Numbers: [60, 52, 13]
Generated Node #2: [60, 52, 13] from Operation: 18-5=13
Current State: 99:[60, 52, 13], Operations: ['18-5=13']
Exploring Operation: 60+52=112, Resulting Numbers: [13, 112]
Generated Node #3: [13, 112] from Operation: 60+52=112
Current State: 99:[13, 112], Operations: ['18-5=13', '60+52=112']
Exploring Operation: 112-13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[5, 18, 60, 52], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [5, 60, 34]
Generated Node #0,0: 99:[5, 60, 34] Operation: 52-18=34
Exploring Operation: 60-18=42, Resulting Numbers: [5, 52, 42]
Generated Node #0,1: 99:[5, 52, 42] Operation: 60-18=42
Exploring Operation: 60/5=12, Resulting Numbers: [18, 52, 12]
Generated Node #0,2: 99:[18, 52, 12] Operation: 60/5=12
Exploring Operation: 60-52=8, Resulting Numbers: [5, 18, 8]
Generated Node #0,3: 99:[5, 18, 8] Operation: 60-52=8
Exploring Operation: 60+52=112, Resulting Numbers: [5, 18, 112]
Generated Node #0,4: 99:[5, 18, 112] Operation: 60+52=112
Moving to Node #0,3
Current State: 99:[5, 18, 8], Operations: ['60-52=8']
Exploring Operation: 18-8=10, Resulting Numbers: [5, 10]
Generated Node #0,3,0: 99:[5, 10] Operation: 18-8=10
Exploring Operation: 18+8=26, Resulting Numbers: [5, 26]
Generated Node #0,3,1: 99:[5, 26] Operation: 18+8=26
Exploring Operation: 18-5=13, Resulting Numbers: [8, 13]
Generated Node #0,3,2: 99:[8, 13] Operation: 18-5=13
Exploring Operation: 8-5=3, Resulting Numbers: [18, 3]
Generated Node #0,3,3: 99:[18, 3] Operation: 8-5=3
Exploring Operation: 5+8=13, Resulting Numbers: [18, 13]
Generated Node #0,3,4: 99:[18, 13] Operation: 5+8=13
Moving to Node #0,4
Current State: 99:[5, 18, 112], Operations: ['60+52=112']
Exploring Operation: 5+18=23, Resulting Numbers: [112, 23]
Generated Node #0,4,0: 99:[112, 23] Operation: 5+18=23
Exploring Operation: 5*18=90, Resulting Numbers: [112, 90]
Generated Node #0,4,1: 99:[112, 90] Operation: 5*18=90
Exploring Operation: 112-5=107, Resulting Numbers: [18, 107]
Generated Node #0,4,2: 99:[18, 107] Operation: 112-5=107
Exploring Operation: 18-5=13, Resulting Numbers: [112, 13]
Generated Node #0,4,3: 99:[112, 13] Operation: 18-5=13
Exploring Operation: 112-18=94, Resulting Numbers: [5, 94]
Generated Node #0,4,4: 99:[5, 94] Operation: 112-18=94
Moving to Node #0,2
Current State: 99:[18, 52, 12], Operations: ['60/5=12']
Exploring Operation: 18-12=6, Resulting Numbers: [52, 6]
Generated Node #0,2,0: 99:[52, 6] Operation: 18-12=6
Exploring Operation: 52-18=34, Resulting Numbers: [12, 34]
Generated Node #0,2,1: 99:[12, 34] Operation: 52-18=34
Exploring Operation: 18+52=70, Resulting Numbers: [12, 70]
Generated Node #0,2,2: 99:[12, 70] Operation: 18+52=70
Exploring Operation: 52-12=40, Resulting Numbers: [18, 40]
Generated Node #0,2,3: 99:[18, 40] Operation: 52-12=40
Exploring Operation: 18+12=30, Resulting Numbers: [52, 30]
Generated Node #0,2,4: 99:[52, 30] Operation: 18+12=30
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[12, 34], Operations: ['60/5=12', '52-18=34']
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,99 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,99 unequal: No Solution
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,99 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 #0,2,3
Current State: 99:[18, 40], Operations: ['60/5=12', '52-12=40']
Exploring Operation: 18+40=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,99 unequal: No Solution
Exploring Operation: 18*40=720, Resulting Numbers: [720]
720,99 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 #0,2,0
Current State: 99:[52, 6], Operations: ['60/5=12', '18-12=6']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,99 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 #0,2,4
Current State: 99:[52, 30], Operations: ['60/5=12', '18+12=30']
Exploring Operation: 52*30=1560, Resulting Numbers: [1560]
1560,99 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,99 unequal: No Solution
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,99 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 #0,2,2
Current State: 99:[12, 70], Operations: ['60/5=12', '18+52=70']
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,99 unequal: No Solution
Exploring Operation: 12*70=840, Resulting Numbers: [840]
840,99 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,99 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: 99:[5, 60, 34], Operations: ['52-18=34']
Exploring Operation: 60-5=55, Resulting Numbers: [34, 55]
Generated Node #0,0,0: 99:[34, 55] Operation: 60-5=55
Exploring Operation: 34-5=29, Resulting Numbers: [60, 29]
Generated Node #0,0,1: 99:[60, 29] Operation: 34-5=29
Exploring Operation: 60+34=94, Resulting Numbers: [5, 94]
Generated Node #0,0,2: 99:[5, 94] Operation: 60+34=94
Exploring Operation: 60/5=12, Resulting Numbers: [34, 12]
Generated Node #0,0,3: 99:[34, 12] Operation: 60/5=12
Exploring Operation: 60-34=26, Resulting Numbers: [5, 26]
Generated Node #0,0,4: 99:[5, 26] Operation: 60-34=26
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 99:[34, 12], Operations: ['52-18=34', '60/5=12']
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,99 unequal: No Solution
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,99 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 #0,0,2
Current State: 99:[5, 94], Operations: ['52-18=34', '60+34=94']
Exploring Operation: 5*94=470, Resulting Numbers: [470]
470,99 unequal: No Solution
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[5, 18, 60, 52], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [5, 60, 34]
Generated Node #0,0: 99:[5, 60, 34] Operation: 52-18=34
Moving to Node #0,0
Current State: 99:[5, 60, 34], Operations: ['52-18=34']
Exploring Operation: 60+34=94, Resulting Numbers: [5, 94]
Generated Node #0,0,2: 99:[5, 94] Operation: 60+34=94
Moving to Node #0,0,2
Current State: 99:[5, 94], Operations: ['52-18=34', '60+34=94']
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_5 | mult_heuristic |
[
21,
8,
5,
25
] | 40 | [
"21-8=13",
"5*13=65",
"65-25=40"
] | Current State: 40:[21, 8, 5, 25], Operations: []
Exploring Operation: 21-8=13, Resulting Numbers: [5, 25, 13]
Generated Node #2: [5, 25, 13] from Operation: 21-8=13
Current State: 40:[5, 25, 13], Operations: ['21-8=13']
Exploring Operation: 5*13=65, Resulting Numbers: [25, 65]
Generated Node #3: [25, 65] from Operation: 5*13=65
Current State: 40:[25, 65], Operations: ['21-8=13', '5*13=65']
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[21, 8, 5, 25], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [8, 5, 4]
Generated Node #0,0: 40:[8, 5, 4] Operation: 25-21=4
Exploring Operation: 25-5=20, Resulting Numbers: [21, 8, 20]
Generated Node #0,1: 40:[21, 8, 20] Operation: 25-5=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[8, 5, 4], Operations: ['25-21=4']
Exploring Operation: 8-4=4, Resulting Numbers: [5, 4]
Generated Node #0,0,0: 40:[5, 4] Operation: 8-4=4
Exploring Operation: 8*5=40, Resulting Numbers: [4, 40]
Generated Node #0,0,1: 40:[4, 40] Operation: 8*5=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[5, 4], Operations: ['25-21=4', '8-4=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,40 unequal: No Solution
No 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: 40:[4, 40], Operations: ['25-21=4', '8*5=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,40 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: 40:[21, 8, 20], Operations: ['25-5=20']
Exploring Operation: 21-20=1, Resulting Numbers: [8, 1]
Generated Node #0,1,0: 40:[8, 1] Operation: 21-20=1
Exploring Operation: 21+20=41, Resulting Numbers: [8, 41]
Generated Node #0,1,1: 40:[8, 41] Operation: 21+20=41
Moving to Node #0,1,0
Current State: 40:[8, 1], Operations: ['25-5=20', '21-20=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[8, 41], Operations: ['25-5=20', '21+20=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,40 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 |
[
31,
22,
70,
32
] | 24 | [
"32-22=10",
"70/10=7",
"31-7=24"
] | Current State: 24:[31, 22, 70, 32], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [31, 70, 10]
Generated Node #2: [31, 70, 10] from Operation: 32-22=10
Current State: 24:[31, 70, 10], Operations: ['32-22=10']
Exploring Operation: 70/10=7, Resulting Numbers: [31, 7]
Generated Node #3: [31, 7] from Operation: 70/10=7
Current State: 24:[31, 7], Operations: ['32-22=10', '70/10=7']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[31, 22, 70, 32], Operations: []
Exploring Operation: 70-31=39, Resulting Numbers: [22, 32, 39]
Generated Node #0,0: 24:[22, 32, 39] Operation: 70-31=39
Exploring Operation: 31-22=9, Resulting Numbers: [70, 32, 9]
Generated Node #0,1: 24:[70, 32, 9] Operation: 31-22=9
Exploring Operation: 70-32=38, Resulting Numbers: [31, 22, 38]
Generated Node #0,2: 24:[31, 22, 38] Operation: 70-32=38
Exploring Operation: 70-22=48, Resulting Numbers: [31, 32, 48]
Generated Node #0,3: 24:[31, 32, 48] Operation: 70-22=48
Exploring Operation: 32-31=1, Resulting Numbers: [22, 70, 1]
Generated Node #0,4: 24:[22, 70, 1] Operation: 32-31=1
Moving to Node #0,2
Current State: 24:[31, 22, 38], Operations: ['70-32=38']
Exploring Operation: 31+22=53, Resulting Numbers: [38, 53]
Generated Node #0,2,0: 24:[38, 53] Operation: 31+22=53
Exploring Operation: 38-31=7, Resulting Numbers: [22, 7]
Generated Node #0,2,1: 24:[22, 7] Operation: 38-31=7
Exploring Operation: 31-22=9, Resulting Numbers: [38, 9]
Generated Node #0,2,2: 24:[38, 9] Operation: 31-22=9
Exploring Operation: 22+38=60, Resulting Numbers: [31, 60]
Generated Node #0,2,3: 24:[31, 60] Operation: 22+38=60
Exploring Operation: 38-22=16, Resulting Numbers: [31, 16]
Generated Node #0,2,4: 24:[31, 16] Operation: 38-22=16
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[22, 7], Operations: ['70-32=38', '38-31=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,24 unequal: No Solution
No 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: 24:[31, 16], Operations: ['70-32=38', '38-22=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,24 unequal: No Solution
No 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: 24:[38, 9], Operations: ['70-32=38', '31-22=9']
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 38*9=342, Resulting Numbers: [342]
342,24 unequal: No Solution
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,24 unequal: No Solution
No 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: 24:[38, 53], Operations: ['70-32=38', '31+22=53']
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,24 unequal: No Solution
Exploring Operation: 38*53=2014, Resulting Numbers: [2014]
2014,24 unequal: No Solution
No 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: 24:[31, 60], Operations: ['70-32=38', '22+38=60']
Exploring Operation: 31*60=1860, Resulting Numbers: [1860]
1860,24 unequal: No Solution
Exploring Operation: 31+60=91, Resulting Numbers: [91]
91,24 unequal: No Solution
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,24 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: 24:[22, 32, 39], Operations: ['70-31=39']
Exploring Operation: 32-22=10, Resulting Numbers: [39, 10]
Generated Node #0,0,0: 24:[39, 10] Operation: 32-22=10
Exploring Operation: 39-22=17, Resulting Numbers: [32, 17]
Generated Node #0,0,1: 24:[32, 17] Operation: 39-22=17
Exploring Operation: 39-32=7, Resulting Numbers: [22, 7]
Generated Node #0,0,2: 24:[22, 7] Operation: 39-32=7
Exploring Operation: 22+32=54, Resulting Numbers: [39, 54]
Generated Node #0,0,3: 24:[39, 54] Operation: 22+32=54
Exploring Operation: 22+39=61, Resulting Numbers: [32, 61]
Generated Node #0,0,4: 24:[32, 61] Operation: 22+39=61
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[22, 7], Operations: ['70-31=39', '39-32=7']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,24 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,24 unequal: No Solution
No 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: 24:[32, 17], Operations: ['70-31=39', '39-22=17']
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,24 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,24 unequal: No Solution
No 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: 24:[39, 10], Operations: ['70-31=39', '32-22=10']
Exploring Operation: 39*10=390, Resulting Numbers: [390]
390,24 unequal: No Solution
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,24 unequal: No Solution
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,24 unequal: No Solution
No 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: 24:[39, 54], Operations: ['70-31=39', '22+32=54']
Exploring Operation: 39*54=2106, Resulting Numbers: [2106]
2106,24 unequal: No Solution
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 39+54=93, Resulting Numbers: [93]
93,24 unequal: No Solution
No 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: 24:[32, 61], Operations: ['70-31=39', '22+39=61']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 32+61=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 32*61=1952, Resulting Numbers: [1952]
1952,24 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: 24:[31, 32, 48], Operations: ['70-22=48']
Exploring Operation: 48-32=16, Resulting Numbers: [31, 16]
Generated Node #0,3,0: 24:[31, 16] Operation: 48-32=16
Exploring Operation: 32-31=1, Resulting Numbers: [48, 1]
Generated Node #0,3,1: 24:[48, 1] Operation: 32-31=1
Exploring Operation: 31+48=79, Resulting Numbers: [32, 79]
Generated Node #0,3,2: 24:[32, 79] Operation: 31+48=79
Exploring Operation: 31+32=63, Resulting Numbers: [48, 63]
Generated Node #0,3,3: 24:[48, 63] Operation: 31+32=63
Exploring Operation: 48-31=17, Resulting Numbers: [32, 17]
Generated Node #0,3,4: 24:[32, 17] Operation: 48-31=17
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 24:[31, 16], Operations: ['70-22=48', '48-32=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,24 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,24 unequal: No Solution
No 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: 24:[32, 17], Operations: ['70-22=48', '48-31=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,24 unequal: No Solution
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,24 unequal: No Solution
No 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: 24:[48, 1], Operations: ['70-22=48', '32-31=1']
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,24 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,24 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,24 unequal: No Solution
No 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: 24:[32, 79], Operations: ['70-22=48', '31+48=79']
Exploring Operation: 32*79=2528, Resulting Numbers: [2528]
2528,24 unequal: No Solution
Exploring Operation: 32+79=111, Resulting Numbers: [111]
111,24 unequal: No Solution
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,24 unequal: No Solution
No 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: 24:[48, 63], Operations: ['70-22=48', '31+32=63']
Exploring Operation: 48*63=3024, Resulting Numbers: [3024]
3024,24 unequal: No Solution
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 48+63=111, Resulting Numbers: [111]
111,24 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: 24:[22, 70, 1], Operations: ['32-31=1']
Exploring Operation: 70-1=69, Resulting Numbers: [22, 69]
Generated Node #0,4,0: 24:[22, 69] Operation: 70-1=69
Exploring Operation: 70-22=48, Resulting Numbers: [1, 48]
Generated Node #0,4,1: 24:[1, 48] Operation: 70-22=48
Exploring Operation: 22*1=22, Resulting Numbers: [70, 22]
Generated Node #0,4,2: 24:[70, 22] Operation: 22*1=22
Exploring Operation: 22/1=22, Resulting Numbers: [70, 22]
Generated Node #0,4,3: 24:[70, 22] Operation: 22/1=22
Exploring Operation: 22+1=23, Resulting Numbers: [70, 23]
Generated Node #0,4,4: 24:[70, 23] Operation: 22+1=23
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 24:[1, 48], Operations: ['32-31=1', '70-22=48']
Exploring Operation: 1+48=49, Resulting Numbers: [49]
49,24 unequal: No Solution
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,24 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,24 unequal: No Solution
No 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: 24:[22, 69], Operations: ['32-31=1', '70-1=69']
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,24 unequal: No Solution
Exploring Operation: 22*69=1518, Resulting Numbers: [1518]
1518,24 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,24 unequal: No Solution
No 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: 24:[70, 23], Operations: ['32-31=1', '22+1=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,24 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,24 unequal: No Solution
No 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: 24:[70, 22], Operations: ['32-31=1', '22*1=22']
Exploring Operation: 70*22=1540, Resulting Numbers: [1540]
1540,24 unequal: No Solution
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,24 unequal: No Solution
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,24 unequal: No Solution
No 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: 24:[70, 22], Operations: ['32-31=1', '22/1=22']
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,24 unequal: No Solution
Exploring Operation: 70*22=1540, Resulting Numbers: [1540]
1540,24 unequal: No Solution
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,24 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: 24:[70, 32, 9], Operations: ['31-22=9']
Exploring Operation: 70-9=61, Resulting Numbers: [32, 61]
Generated Node #0,1,0: 24:[32, 61] Operation: 70-9=61
Exploring Operation: 70-32=38, Resulting Numbers: [9, 38]
Generated Node #0,1,1: 24:[9, 38] Operation: 70-32=38
Exploring Operation: 32+9=41, Resulting Numbers: [70, 41]
Generated Node #0,1,2: 24:[70, 41] Operation: 32+9=41
Exploring Operation: 70+9=79, Resulting Numbers: [32, 79]
Generated Node #0,1,3: 24:[32, 79] Operation: 70+9=79
Exploring Operation: 32-9=23, Resulting Numbers: [70, 23]
Generated Node #0,1,4: 24:[70, 23] Operation: 32-9=23
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[9, 38], Operations: ['31-22=9', '70-32=38']
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,24 unequal: No Solution
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,24 unequal: No Solution
No 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: 24:[32, 61], Operations: ['31-22=9', '70-9=61']
Exploring Operation: 32+61=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 32*61=1952, Resulting Numbers: [1952]
1952,24 unequal: No Solution
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,24 unequal: No Solution
No 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: 24:[70, 23], Operations: ['31-22=9', '32-9=23']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,24 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,24 unequal: No Solution
No 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: 24:[70, 41], Operations: ['31-22=9', '32+9=41']
Exploring Operation: 70+41=111, Resulting Numbers: [111]
111,24 unequal: No Solution
Exploring Operation: 70*41=2870, Resulting Numbers: [2870]
2870,24 unequal: No Solution
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,24 unequal: No Solution
No 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: 24:[32, 79], Operations: ['31-22=9', '70+9=79']
Exploring Operation: 32*79=2528, Resulting Numbers: [2528]
2528,24 unequal: No Solution
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 32+79=111, Resulting Numbers: [111]
111,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
32,
38,
6,
88
] | 24 | [
"32+38=70",
"6+88=94",
"94-70=24"
] | Current State: 24:[32, 38, 6, 88], Operations: []
Exploring Operation: 32+38=70, Resulting Numbers: [6, 88, 70]
Generated Node #2: [6, 88, 70] from Operation: 32+38=70
Current State: 24:[6, 88, 70], Operations: ['32+38=70']
Exploring Operation: 6+88=94, Resulting Numbers: [70, 94]
Generated Node #3: [70, 94] from Operation: 6+88=94
Current State: 24:[70, 94], Operations: ['32+38=70', '6+88=94']
Exploring Operation: 94-70=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[32, 38, 6, 88], Operations: []
Exploring Operation: 88-38=50, Resulting Numbers: [32, 6, 50]
Generated Node #0,0: 24:[32, 6, 50] Operation: 88-38=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[32, 6, 50], Operations: ['88-38=50']
Exploring Operation: 50-32=18, Resulting Numbers: [6, 18]
Generated Node #0,0,0: 24:[6, 18] Operation: 50-32=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 24:[6, 18], Operations: ['88-38=50', '50-32=18']
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[32, 38, 6, 88], Operations: []
Exploring Operation: 88-38=50, Resulting Numbers: [32, 6, 50]
Generated Node #0,0: 24:[32, 6, 50] Operation: 88-38=50
Moving to Node #0,0
Current State: 24:[32, 6, 50], Operations: ['88-38=50']
Exploring Operation: 50-32=18, Resulting Numbers: [6, 18]
Generated Node #0,0,0: 24:[6, 18] Operation: 50-32=18
Moving to Node #0,0,0
Current State: 24:[6, 18], Operations: ['88-38=50', '50-32=18']
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
17,
10,
34,
14
] | 47 | [
"17+10=27",
"34-14=20",
"27+20=47"
] | Current State: 47:[17, 10, 34, 14], Operations: []
Exploring Operation: 17+10=27, Resulting Numbers: [34, 14, 27]
Generated Node #2: [34, 14, 27] from Operation: 17+10=27
Current State: 47:[34, 14, 27], Operations: ['17+10=27']
Exploring Operation: 34-14=20, Resulting Numbers: [27, 20]
Generated Node #3: [27, 20] from Operation: 34-14=20
Current State: 47:[27, 20], Operations: ['17+10=27', '34-14=20']
Exploring Operation: 27+20=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[17, 10, 34, 14], Operations: []
Exploring Operation: 10+34=44, Resulting Numbers: [17, 14, 44]
Generated Node #0,0: 47:[17, 14, 44] Operation: 10+34=44
Exploring Operation: 17+10=27, Resulting Numbers: [34, 14, 27]
Generated Node #0,1: 47:[34, 14, 27] Operation: 17+10=27
Exploring Operation: 17+14=31, Resulting Numbers: [10, 34, 31]
Generated Node #0,2: 47:[10, 34, 31] Operation: 17+14=31
Moving to Node #0,0
Current State: 47:[17, 14, 44], Operations: ['10+34=44']
Exploring Operation: 17+14=31, Resulting Numbers: [44, 31]
Generated Node #0,0,0: 47:[44, 31] Operation: 17+14=31
Exploring Operation: 17-14=3, Resulting Numbers: [44, 3]
Generated Node #0,0,1: 47:[44, 3] Operation: 17-14=3
Exploring Operation: 14+44=58, Resulting Numbers: [17, 58]
Generated Node #0,0,2: 47:[17, 58] Operation: 14+44=58
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[44, 31], Operations: ['10+34=44', '17+14=31']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 44+31=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 44*31=1364, Resulting Numbers: [1364]
1364,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[17, 58], Operations: ['10+34=44', '14+44=58']
Exploring Operation: 17+58=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 17*58=986, Resulting Numbers: [986]
986,47 unequal: No Solution
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[44, 3], Operations: ['10+34=44', '17-14=3']
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,47 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,47 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[17, 10, 34, 14], Operations: []
Exploring Operation: 10+34=44, Resulting Numbers: [17, 14, 44]
Generated Node #0,0: 47:[17, 14, 44] Operation: 10+34=44
Moving to Node #0,0
Current State: 47:[17, 14, 44], Operations: ['10+34=44']
Exploring Operation: 17-14=3, Resulting Numbers: [44, 3]
Generated Node #0,0,1: 47:[44, 3] Operation: 17-14=3
Moving to Node #0,0,1
Current State: 47:[44, 3], Operations: ['10+34=44', '17-14=3']
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
23,
68,
85,
34
] | 28 | [
"23+68=91",
"85+34=119",
"119-91=28"
] | Current State: 28:[23, 68, 85, 34], Operations: []
Exploring Operation: 23+68=91, Resulting Numbers: [85, 34, 91]
Generated Node #2: [85, 34, 91] from Operation: 23+68=91
Current State: 28:[85, 34, 91], Operations: ['23+68=91']
Exploring Operation: 85+34=119, Resulting Numbers: [91, 119]
Generated Node #3: [91, 119] from Operation: 85+34=119
Current State: 28:[91, 119], Operations: ['23+68=91', '85+34=119']
Exploring Operation: 119-91=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[23, 68, 85, 34], Operations: []
Exploring Operation: 85-68=17, Resulting Numbers: [23, 34, 17]
Generated Node #0,0: 28:[23, 34, 17] Operation: 85-68=17
Exploring Operation: 68/34=2, Resulting Numbers: [23, 85, 2]
Generated Node #0,1: 28:[23, 85, 2] Operation: 68/34=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[23, 34, 17], Operations: ['85-68=17']
Exploring Operation: 34/17=2, Resulting Numbers: [23, 2]
Generated Node #0,0,0: 28:[23, 2] Operation: 34/17=2
Exploring Operation: 34-23=11, Resulting Numbers: [17, 11]
Generated Node #0,0,1: 28:[17, 11] Operation: 34-23=11
Moving to Node #0,0,0
Current State: 28:[23, 2], Operations: ['85-68=17', '34/17=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[17, 11], Operations: ['85-68=17', '34-23=11']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[23, 68, 85, 34], Operations: []
Exploring Operation: 85-68=17, Resulting Numbers: [23, 34, 17]
Generated Node #0,0: 28:[23, 34, 17] Operation: 85-68=17
Moving to Node #0,0
Current State: 28:[23, 34, 17], Operations: ['85-68=17']
Exploring Operation: 34-23=11, Resulting Numbers: [17, 11]
Generated Node #0,0,1: 28:[17, 11] Operation: 34-23=11
Moving to Node #0,0,1
Current State: 28:[17, 11], Operations: ['85-68=17', '34-23=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
82,
35,
4,
3
] | 70 | [
"35+3=38",
"4*38=152",
"152-82=70"
] | Current State: 70:[82, 35, 4, 3], Operations: []
Exploring Operation: 35+3=38, Resulting Numbers: [82, 4, 38]
Generated Node #2: [82, 4, 38] from Operation: 35+3=38
Current State: 70:[82, 4, 38], Operations: ['35+3=38']
Exploring Operation: 4*38=152, Resulting Numbers: [82, 152]
Generated Node #3: [82, 152] from Operation: 4*38=152
Current State: 70:[82, 152], Operations: ['35+3=38', '4*38=152']
Exploring Operation: 152-82=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[82, 35, 4, 3], Operations: []
Exploring Operation: 82-4=78, Resulting Numbers: [35, 3, 78]
Generated Node #0,0: 70:[35, 3, 78] Operation: 82-4=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[35, 3, 78], Operations: ['82-4=78']
Exploring Operation: 78-3=75, Resulting Numbers: [35, 75]
Generated Node #0,0,0: 70:[35, 75] Operation: 78-3=75
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[35, 75], Operations: ['82-4=78', '78-3=75']
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,70 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 |
[
21,
67,
17,
60
] | 15 | [
"21*60=1260",
"67+17=84",
"1260/84=15"
] | Current State: 15:[21, 67, 17, 60], Operations: []
Exploring Operation: 21*60=1260, Resulting Numbers: [67, 17, 1260]
Generated Node #2: [67, 17, 1260] from Operation: 21*60=1260
Current State: 15:[67, 17, 1260], Operations: ['21*60=1260']
Exploring Operation: 67+17=84, Resulting Numbers: [1260, 84]
Generated Node #3: [1260, 84] from Operation: 67+17=84
Current State: 15:[1260, 84], Operations: ['21*60=1260', '67+17=84']
Exploring Operation: 1260/84=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[21, 67, 17, 60], Operations: []
Exploring Operation: 67-21=46, Resulting Numbers: [17, 60, 46]
Generated Node #0,0: 15:[17, 60, 46] Operation: 67-21=46
Exploring Operation: 60-21=39, Resulting Numbers: [67, 17, 39]
Generated Node #0,1: 15:[67, 17, 39] Operation: 60-21=39
Exploring Operation: 67-17=50, Resulting Numbers: [21, 60, 50]
Generated Node #0,2: 15:[21, 60, 50] Operation: 67-17=50
Exploring Operation: 67-60=7, Resulting Numbers: [21, 17, 7]
Generated Node #0,3: 15:[21, 17, 7] Operation: 67-60=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[21, 17, 7], Operations: ['67-60=7']
Exploring Operation: 21-7=14, Resulting Numbers: [17, 14]
Generated Node #0,3,0: 15:[17, 14] Operation: 21-7=14
Exploring Operation: 17-7=10, Resulting Numbers: [21, 10]
Generated Node #0,3,1: 15:[21, 10] Operation: 17-7=10
Exploring Operation: 21/7=3, Resulting Numbers: [17, 3]
Generated Node #0,3,2: 15:[17, 3] Operation: 21/7=3
Exploring Operation: 21-17=4, Resulting Numbers: [7, 4]
Generated Node #0,3,3: 15:[7, 4] Operation: 21-17=4
Moving to Node #0,3,2
Current State: 15:[17, 3], Operations: ['67-60=7', '21/7=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[7, 4], Operations: ['67-60=7', '21-17=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[17, 14], Operations: ['67-60=7', '21-7=14']
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[21, 10], Operations: ['67-60=7', '17-7=10']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,15 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[17, 60, 46], Operations: ['67-21=46']
Exploring Operation: 17+60=77, Resulting Numbers: [46, 77]
Generated Node #0,0,0: 15:[46, 77] Operation: 17+60=77
Exploring Operation: 60-17=43, Resulting Numbers: [46, 43]
Generated Node #0,0,1: 15:[46, 43] Operation: 60-17=43
Exploring Operation: 46-17=29, Resulting Numbers: [60, 29]
Generated Node #0,0,2: 15:[60, 29] Operation: 46-17=29
Exploring Operation: 60-46=14, Resulting Numbers: [17, 14]
Generated Node #0,0,3: 15:[17, 14] Operation: 60-46=14
Moving to Node #0,0,3
Current State: 15:[17, 14], Operations: ['67-21=46', '60-46=14']
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[60, 29], Operations: ['67-21=46', '46-17=29']
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,15 unequal: No Solution
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[46, 43], Operations: ['67-21=46', '60-17=43']
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 46*43=1978, Resulting Numbers: [1978]
1978,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[46, 77], Operations: ['67-21=46', '17+60=77']
Exploring Operation: 46*77=3542, Resulting Numbers: [3542]
3542,15 unequal: No Solution
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 46+77=123, Resulting Numbers: [123]
123,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[67, 17, 39], Operations: ['60-21=39']
Exploring Operation: 39-17=22, Resulting Numbers: [67, 22]
Generated Node #0,1,0: 15:[67, 22] Operation: 39-17=22
Exploring Operation: 67-17=50, Resulting Numbers: [39, 50]
Generated Node #0,1,1: 15:[39, 50] Operation: 67-17=50
Exploring Operation: 67-39=28, Resulting Numbers: [17, 28]
Generated Node #0,1,2: 15:[17, 28] Operation: 67-39=28
Exploring Operation: 67+17=84, Resulting Numbers: [39, 84]
Generated Node #0,1,3: 15:[39, 84] Operation: 67+17=84
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 15:[17, 28], Operations: ['60-21=39', '67-39=28']
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,15 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[67, 22], Operations: ['60-21=39', '39-17=22']
Exploring Operation: 67*22=1474, Resulting Numbers: [1474]
1474,15 unequal: No Solution
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 67+22=89, Resulting Numbers: [89]
89,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[39, 50], Operations: ['60-21=39', '67-17=50']
Exploring Operation: 39+50=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 39*50=1950, Resulting Numbers: [1950]
1950,15 unequal: No Solution
Exploring Operation: 50-39=11, Resulting Numbers: [11]
11,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 15:[39, 84], Operations: ['60-21=39', '67+17=84']
Exploring Operation: 84-39=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 39+84=123, Resulting Numbers: [123]
123,15 unequal: No Solution
Exploring Operation: 39*84=3276, Resulting Numbers: [3276]
3276,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[21, 60, 50], Operations: ['67-17=50']
Exploring Operation: 21+60=81, Resulting Numbers: [50, 81]
Generated Node #0,2,0: 15:[50, 81] Operation: 21+60=81
Exploring Operation: 50-21=29, Resulting Numbers: [60, 29]
Generated Node #0,2,1: 15:[60, 29] Operation: 50-21=29
Exploring Operation: 60-50=10, Resulting Numbers: [21, 10]
Generated Node #0,2,2: 15:[21, 10] Operation: 60-50=10
Exploring Operation: 60-21=39, Resulting Numbers: [50, 39]
Generated Node #0,2,3: 15:[50, 39] Operation: 60-21=39
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[21, 10], Operations: ['67-17=50', '60-50=10']
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,15 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 15:[60, 29], Operations: ['67-17=50', '50-21=29']
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 15:[50, 39], Operations: ['67-17=50', '60-21=39']
Exploring Operation: 50-39=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 50*39=1950, Resulting Numbers: [1950]
1950,15 unequal: No Solution
Exploring Operation: 50+39=89, Resulting Numbers: [89]
89,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 15:[50, 81], Operations: ['67-17=50', '21+60=81']
Exploring Operation: 81-50=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 50+81=131, Resulting Numbers: [131]
131,15 unequal: No Solution
Exploring Operation: 50*81=4050, Resulting Numbers: [4050]
4050,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
42,
81,
56,
75
] | 14 | [
"81-56=25",
"42*25=1050",
"1050/75=14"
] | Current State: 14:[42, 81, 56, 75], Operations: []
Exploring Operation: 81-56=25, Resulting Numbers: [42, 75, 25]
Generated Node #2: [42, 75, 25] from Operation: 81-56=25
Current State: 14:[42, 75, 25], Operations: ['81-56=25']
Exploring Operation: 42*25=1050, Resulting Numbers: [75, 1050]
Generated Node #3: [75, 1050] from Operation: 42*25=1050
Current State: 14:[75, 1050], Operations: ['81-56=25', '42*25=1050']
Exploring Operation: 1050/75=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[42, 81, 56, 75], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [42, 56, 6]
Generated Node #0,0: 14:[42, 56, 6] Operation: 81-75=6
Exploring Operation: 81-56=25, Resulting Numbers: [42, 75, 25]
Generated Node #0,1: 14:[42, 75, 25] Operation: 81-56=25
Exploring Operation: 75-56=19, Resulting Numbers: [42, 81, 19]
Generated Node #0,2: 14:[42, 81, 19] Operation: 75-56=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[42, 56, 6], Operations: ['81-75=6']
Exploring Operation: 42/6=7, Resulting Numbers: [56, 7]
Generated Node #0,0,0: 14:[56, 7] Operation: 42/6=7
Exploring Operation: 42-6=36, Resulting Numbers: [56, 36]
Generated Node #0,0,1: 14:[56, 36] Operation: 42-6=36
Exploring Operation: 56-42=14, Resulting Numbers: [6, 14]
Generated Node #0,0,2: 14:[6, 14] Operation: 56-42=14
Moving to Node #0,0,2
Current State: 14:[6, 14], Operations: ['81-75=6', '56-42=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[56, 7], Operations: ['81-75=6', '42/6=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[56, 36], Operations: ['81-75=6', '42-6=36']
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Exploring Operation: 56+36=92, Resulting Numbers: [92]
92,14 unequal: No Solution
Exploring Operation: 56*36=2016, Resulting Numbers: [2016]
2016,14 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
Current State: 14:[42, 75, 25], Operations: ['81-56=25']
Exploring Operation: 75/25=3, Resulting Numbers: [42, 3]
Generated Node #0,1,0: 14:[42, 3] Operation: 75/25=3
Exploring Operation: 75-42=33, Resulting Numbers: [25, 33]
Generated Node #0,1,1: 14:[25, 33] Operation: 75-42=33
Exploring Operation: 42-25=17, Resulting Numbers: [75, 17]
Generated Node #0,1,2: 14:[75, 17] Operation: 42-25=17
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[42, 3], Operations: ['81-56=25', '75/25=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,14 unequal: No Solution
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[42, 81, 56, 75], Operations: []
Exploring Operation: 81-56=25, Resulting Numbers: [42, 75, 25]
Generated Node #0,1: 14:[42, 75, 25] Operation: 81-56=25
Moving to Node #0,1
Current State: 14:[42, 75, 25], Operations: ['81-56=25']
Exploring Operation: 75/25=3, Resulting Numbers: [42, 3]
Generated Node #0,1,0: 14:[42, 3] Operation: 75/25=3
Moving to Node #0,1,0
Current State: 14:[42, 3], Operations: ['81-56=25', '75/25=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
52,
84,
3,
41
] | 51 | [
"52-41=11",
"3*11=33",
"84-33=51"
] | Current State: 51:[52, 84, 3, 41], Operations: []
Exploring Operation: 52-41=11, Resulting Numbers: [84, 3, 11]
Generated Node #2: [84, 3, 11] from Operation: 52-41=11
Current State: 51:[84, 3, 11], Operations: ['52-41=11']
Exploring Operation: 3*11=33, Resulting Numbers: [84, 33]
Generated Node #3: [84, 33] from Operation: 3*11=33
Current State: 51:[84, 33], Operations: ['52-41=11', '3*11=33']
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[52, 84, 3, 41], Operations: []
Exploring Operation: 84-41=43, Resulting Numbers: [52, 3, 43]
Generated Node #0,0: 51:[52, 3, 43] Operation: 84-41=43
Moving to Node #0,0
Current State: 51:[52, 3, 43], Operations: ['84-41=43']
Exploring Operation: 52-43=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 51:[3, 9] Operation: 52-43=9
Moving to Node #0,0,0
Current State: 51:[3, 9], Operations: ['84-41=43', '52-43=9']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,51 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
30,
5,
15,
73
] | 17 | [
"30/5=6",
"15*6=90",
"90-73=17"
] | Current State: 17:[30, 5, 15, 73], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [15, 73, 6]
Generated Node #2: [15, 73, 6] from Operation: 30/5=6
Current State: 17:[15, 73, 6], Operations: ['30/5=6']
Exploring Operation: 15*6=90, Resulting Numbers: [73, 90]
Generated Node #3: [73, 90] from Operation: 15*6=90
Current State: 17:[73, 90], Operations: ['30/5=6', '15*6=90']
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[30, 5, 15, 73], Operations: []
Exploring Operation: 73-15=58, Resulting Numbers: [30, 5, 58]
Generated Node #0,0: 17:[30, 5, 58] Operation: 73-15=58
Exploring Operation: 73-5=68, Resulting Numbers: [30, 15, 68]
Generated Node #0,1: 17:[30, 15, 68] Operation: 73-5=68
Exploring Operation: 73-30=43, Resulting Numbers: [5, 15, 43]
Generated Node #0,2: 17:[5, 15, 43] Operation: 73-30=43
Exploring Operation: 30-5=25, Resulting Numbers: [15, 73, 25]
Generated Node #0,3: 17:[15, 73, 25] Operation: 30-5=25
Moving to Node #0,2
Current State: 17:[5, 15, 43], Operations: ['73-30=43']
Exploring Operation: 43-15=28, Resulting Numbers: [5, 28]
Generated Node #0,2,0: 17:[5, 28] Operation: 43-15=28
Exploring Operation: 15-5=10, Resulting Numbers: [43, 10]
Generated Node #0,2,1: 17:[43, 10] Operation: 15-5=10
Exploring Operation: 43-5=38, Resulting Numbers: [15, 38]
Generated Node #0,2,2: 17:[15, 38] Operation: 43-5=38
Exploring Operation: 5+15=20, Resulting Numbers: [43, 20]
Generated Node #0,2,3: 17:[43, 20] Operation: 5+15=20
Moving to Node #0,1
Current State: 17:[30, 15, 68], Operations: ['73-5=68']
Exploring Operation: 68-15=53, Resulting Numbers: [30, 53]
Generated Node #0,1,0: 17:[30, 53] Operation: 68-15=53
Exploring Operation: 68-30=38, Resulting Numbers: [15, 38]
Generated Node #0,1,1: 17:[15, 38] Operation: 68-30=38
Exploring Operation: 30-15=15, Resulting Numbers: [68, 15]
Generated Node #0,1,2: 17:[68, 15] Operation: 30-15=15
Exploring Operation: 30/15=2, Resulting Numbers: [68, 2]
Generated Node #0,1,3: 17:[68, 2] Operation: 30/15=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[15, 38], Operations: ['73-5=68', '68-30=38']
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,17 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,17 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 #0,1,0
Current State: 17:[30, 53], Operations: ['73-5=68', '68-15=53']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 30+53=83, Resulting Numbers: [83]
83,17 unequal: No Solution
Exploring Operation: 30*53=1590, Resulting Numbers: [1590]
1590,17 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 #0,1,2
Current State: 17:[68, 15], Operations: ['73-5=68', '30-15=15']
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,17 unequal: No Solution
Exploring Operation: 68*15=1020, Resulting Numbers: [1020]
1020,17 unequal: No Solution
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,17 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 #0,1,3
Current State: 17:[68, 2], Operations: ['73-5=68', '30/15=2']
Exploring Operation: 68*2=136, Resulting Numbers: [136]
136,17 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,17 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: 17:[30, 5, 58], Operations: ['73-15=58']
Exploring Operation: 58-5=53, Resulting Numbers: [30, 53]
Generated Node #0,0,0: 17:[30, 53] Operation: 58-5=53
Exploring Operation: 58-30=28, Resulting Numbers: [5, 28]
Generated Node #0,0,1: 17:[5, 28] Operation: 58-30=28
Exploring Operation: 30/5=6, Resulting Numbers: [58, 6]
Generated Node #0,0,2: 17:[58, 6] Operation: 30/5=6
Exploring Operation: 30-5=25, Resulting Numbers: [58, 25]
Generated Node #0,0,3: 17:[58, 25] Operation: 30-5=25
Moving to Node #0,3
Current State: 17:[15, 73, 25], Operations: ['30-5=25']
Exploring Operation: 15+73=88, Resulting Numbers: [25, 88]
Generated Node #0,3,0: 17:[25, 88] Operation: 15+73=88
Exploring Operation: 25-15=10, Resulting Numbers: [73, 10]
Generated Node #0,3,1: 17:[73, 10] Operation: 25-15=10
Exploring Operation: 73-15=58, Resulting Numbers: [25, 58]
Generated Node #0,3,2: 17:[25, 58] Operation: 73-15=58
Exploring Operation: 73-25=48, Resulting Numbers: [15, 48]
Generated Node #0,3,3: 17:[15, 48] Operation: 73-25=48
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 17:[15, 48], Operations: ['30-5=25', '73-25=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Exploring Operation: 15*48=720, Resulting Numbers: [720]
720,17 unequal: No Solution
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,17 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:[25, 58], Operations: ['30-5=25', '73-15=58']
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,17 unequal: No Solution
Exploring Operation: 25*58=1450, Resulting Numbers: [1450]
1450,17 unequal: No Solution
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,17 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:[73, 10], Operations: ['30-5=25', '25-15=10']
Exploring Operation: 73-10=63, Resulting Numbers: [63]
63,17 unequal: No Solution
Exploring Operation: 73*10=730, Resulting Numbers: [730]
730,17 unequal: No Solution
Exploring Operation: 73+10=83, Resulting Numbers: [83]
83,17 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 #0,3,0
Current State: 17:[25, 88], Operations: ['30-5=25', '15+73=88']
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,17 unequal: No Solution
Exploring Operation: 25+88=113, Resulting Numbers: [113]
113,17 unequal: No Solution
Exploring Operation: 25*88=2200, Resulting Numbers: [2200]
2200,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 17:[5, 28], Operations: ['73-30=43', '43-15=28']
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,17 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[15, 38], Operations: ['73-30=43', '43-5=38']
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,17 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[5, 28], Operations: ['73-15=58', '58-30=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,17 unequal: No Solution
Moving to Node #0,2,3
Current State: 17:[43, 20], Operations: ['73-30=43', '5+15=20']
Exploring Operation: 43*20=860, Resulting Numbers: [860]
860,17 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[43, 10], Operations: ['73-30=43', '15-5=10']
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,17 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,17 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[30, 53], Operations: ['73-15=58', '58-5=53']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 30*53=1590, Resulting Numbers: [1590]
1590,17 unequal: No Solution
Exploring Operation: 30+53=83, Resulting Numbers: [83]
83,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[58, 25], Operations: ['73-15=58', '30-5=25']
Exploring Operation: 58+25=83, Resulting Numbers: [83]
83,17 unequal: No Solution
Exploring Operation: 58*25=1450, Resulting Numbers: [1450]
1450,17 unequal: No Solution
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[58, 6], Operations: ['73-15=58', '30/5=6']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,17 unequal: No Solution
Exploring Operation: 58*6=348, Resulting Numbers: [348]
348,17 unequal: No Solution
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,17 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
10,
48,
88,
28
] | 58 | [
"10+48=58",
"88+28=116",
"116-58=58"
] | Current State: 58:[10, 48, 88, 28], Operations: []
Exploring Operation: 10+48=58, Resulting Numbers: [88, 28, 58]
Generated Node #2: [88, 28, 58] from Operation: 10+48=58
Current State: 58:[88, 28, 58], Operations: ['10+48=58']
Exploring Operation: 88+28=116, Resulting Numbers: [58, 116]
Generated Node #3: [58, 116] from Operation: 88+28=116
Current State: 58:[58, 116], Operations: ['10+48=58', '88+28=116']
Exploring Operation: 116-58=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[10, 48, 88, 28], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [10, 48, 60]
Generated Node #0,0: 58:[10, 48, 60] Operation: 88-28=60
Exploring Operation: 88-48=40, Resulting Numbers: [10, 28, 40]
Generated Node #0,1: 58:[10, 28, 40] Operation: 88-48=40
Moving to Node #0,0
Current State: 58:[10, 48, 60], Operations: ['88-28=60']
Exploring Operation: 10+48=58, Resulting Numbers: [60, 58]
Generated Node #0,0,0: 58:[60, 58] Operation: 10+48=58
Exploring Operation: 48-10=38, Resulting Numbers: [60, 38]
Generated Node #0,0,1: 58:[60, 38] Operation: 48-10=38
Moving to Node #0,1
Current State: 58:[10, 28, 40], Operations: ['88-48=40']
Exploring Operation: 40/10=4, Resulting Numbers: [28, 4]
Generated Node #0,1,0: 58:[28, 4] Operation: 40/10=4
Exploring Operation: 40-10=30, Resulting Numbers: [28, 30]
Generated Node #0,1,1: 58:[28, 30] Operation: 40-10=30
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[28, 30], Operations: ['88-48=40', '40-10=30']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[10, 48, 88, 28], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [10, 28, 40]
Generated Node #0,1: 58:[10, 28, 40] Operation: 88-48=40
Moving to Node #0,1
Current State: 58:[10, 28, 40], Operations: ['88-48=40']
Exploring Operation: 40-10=30, Resulting Numbers: [28, 30]
Generated Node #0,1,1: 58:[28, 30] Operation: 40-10=30
Moving to Node #0,1,1
Current State: 58:[28, 30], Operations: ['88-48=40', '40-10=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
46,
4,
20,
29
] | 91 | [
"46-4=42",
"20+29=49",
"42+49=91"
] | Current State: 91:[46, 4, 20, 29], Operations: []
Exploring Operation: 46-4=42, Resulting Numbers: [20, 29, 42]
Generated Node #2: [20, 29, 42] from Operation: 46-4=42
Current State: 91:[20, 29, 42], Operations: ['46-4=42']
Exploring Operation: 20+29=49, Resulting Numbers: [42, 49]
Generated Node #3: [42, 49] from Operation: 20+29=49
Current State: 91:[42, 49], Operations: ['46-4=42', '20+29=49']
Exploring Operation: 42+49=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[46, 4, 20, 29], Operations: []
Exploring Operation: 46+20=66, Resulting Numbers: [4, 29, 66]
Generated Node #0,0: 91:[4, 29, 66] Operation: 46+20=66
Exploring Operation: 46-20=26, Resulting Numbers: [4, 29, 26]
Generated Node #0,1: 91:[4, 29, 26] Operation: 46-20=26
Exploring Operation: 46+29=75, Resulting Numbers: [4, 20, 75]
Generated Node #0,2: 91:[4, 20, 75] Operation: 46+29=75
Exploring Operation: 29-20=9, Resulting Numbers: [46, 4, 9]
Generated Node #0,3: 91:[46, 4, 9] Operation: 29-20=9
Exploring Operation: 46-29=17, Resulting Numbers: [4, 20, 17]
Generated Node #0,4: 91:[4, 20, 17] Operation: 46-29=17
Start Sub Search at level 1: Moving to Node #0,4
Current State: 91:[4, 20, 17], Operations: ['46-29=17']
Exploring Operation: 17-4=13, Resulting Numbers: [20, 13]
Generated Node #0,4,0: 91:[20, 13] Operation: 17-4=13
Exploring Operation: 20-4=16, Resulting Numbers: [17, 16]
Generated Node #0,4,1: 91:[17, 16] Operation: 20-4=16
Exploring Operation: 20-17=3, Resulting Numbers: [4, 3]
Generated Node #0,4,2: 91:[4, 3] Operation: 20-17=3
Exploring Operation: 4+20=24, Resulting Numbers: [17, 24]
Generated Node #0,4,3: 91:[17, 24] Operation: 4+20=24
Exploring Operation: 20/4=5, Resulting Numbers: [17, 5]
Generated Node #0,4,4: 91:[17, 5] Operation: 20/4=5
Moving to Node #0,4,4
Current State: 91:[17, 5], Operations: ['46-29=17', '20/4=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,91 unequal: No Solution
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,91 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Moving to Node #0,4,1
Current State: 91:[17, 16], Operations: ['46-29=17', '20-4=16']
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,91 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,91 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Moving to Node #0,4,0
Current State: 91:[20, 13], Operations: ['46-29=17', '17-4=13']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,91 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,91 unequal: No Solution
Moving to Node #0,4,2
Current State: 91:[4, 3], Operations: ['46-29=17', '20-17=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Moving to Node #0,4,3
Current State: 91:[17, 24], Operations: ['46-29=17', '4+20=24']
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,91 unequal: No Solution
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,91 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[4, 20, 75], Operations: ['46+29=75']
Exploring Operation: 20-4=16, Resulting Numbers: [75, 16]
Generated Node #0,2,0: 91:[75, 16] Operation: 20-4=16
Exploring Operation: 4+75=79, Resulting Numbers: [20, 79]
Generated Node #0,2,1: 91:[20, 79] Operation: 4+75=79
Exploring Operation: 4+20=24, Resulting Numbers: [75, 24]
Generated Node #0,2,2: 91:[75, 24] Operation: 4+20=24
Exploring Operation: 20/4=5, Resulting Numbers: [75, 5]
Generated Node #0,2,3: 91:[75, 5] Operation: 20/4=5
Exploring Operation: 20+75=95, Resulting Numbers: [4, 95]
Generated Node #0,2,4: 91:[4, 95] Operation: 20+75=95
Moving to Node #0,2,4
Current State: 91:[4, 95], Operations: ['46+29=75', '20+75=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,91 unequal: No Solution
Exploring Operation: 4*95=380, Resulting Numbers: [380]
380,91 unequal: No Solution
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[46, 4, 20, 29], Operations: []
Exploring Operation: 46+29=75, Resulting Numbers: [4, 20, 75]
Generated Node #0,2: 91:[4, 20, 75] Operation: 46+29=75
Moving to Node #0,2
Current State: 91:[4, 20, 75], Operations: ['46+29=75']
Exploring Operation: 20+75=95, Resulting Numbers: [4, 95]
Generated Node #0,2,4: 91:[4, 95] Operation: 20+75=95
Moving to Node #0,2,4
Current State: 91:[4, 95], Operations: ['46+29=75', '20+75=95']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_5 | mult_heuristic |
[
59,
40,
83,
3
] | 99 | [
"59-40=19",
"83-3=80",
"19+80=99"
] | Current State: 99:[59, 40, 83, 3], Operations: []
Exploring Operation: 59-40=19, Resulting Numbers: [83, 3, 19]
Generated Node #2: [83, 3, 19] from Operation: 59-40=19
Current State: 99:[83, 3, 19], Operations: ['59-40=19']
Exploring Operation: 83-3=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 83-3=80
Current State: 99:[19, 80], Operations: ['59-40=19', '83-3=80']
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[59, 40, 83, 3], Operations: []
Exploring Operation: 59+40=99, Resulting Numbers: [83, 3, 99]
Generated Node #0,0: 99:[83, 3, 99] Operation: 59+40=99
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[83, 3, 99], Operations: ['59+40=99']
Exploring Operation: 99-83=16, Resulting Numbers: [3, 16]
Generated Node #0,0,0: 99:[3, 16] Operation: 99-83=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[3, 16], Operations: ['59+40=99', '99-83=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
23,
61,
88,
19
] | 39 | [
"23-19=4",
"88/4=22",
"61-22=39"
] | Current State: 39:[23, 61, 88, 19], Operations: []
Exploring Operation: 23-19=4, Resulting Numbers: [61, 88, 4]
Generated Node #2: [61, 88, 4] from Operation: 23-19=4
Current State: 39:[61, 88, 4], Operations: ['23-19=4']
Exploring Operation: 88/4=22, Resulting Numbers: [61, 22]
Generated Node #3: [61, 22] from Operation: 88/4=22
Current State: 39:[61, 22], Operations: ['23-19=4', '88/4=22']
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[23, 61, 88, 19], Operations: []
Exploring Operation: 88-23=65, Resulting Numbers: [61, 19, 65]
Generated Node #0,0: 39:[61, 19, 65] Operation: 88-23=65
Exploring Operation: 88-61=27, Resulting Numbers: [23, 19, 27]
Generated Node #0,1: 39:[23, 19, 27] Operation: 88-61=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[23, 19, 27], Operations: ['88-61=27']
Exploring Operation: 27-23=4, Resulting Numbers: [19, 4]
Generated Node #0,1,0: 39:[19, 4] Operation: 27-23=4
Exploring Operation: 23-19=4, Resulting Numbers: [27, 4]
Generated Node #0,1,1: 39:[27, 4] Operation: 23-19=4
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[19, 4], Operations: ['88-61=27', '27-23=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[27, 4], Operations: ['88-61=27', '23-19=4']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[61, 19, 65], Operations: ['88-23=65']
Exploring Operation: 65-61=4, Resulting Numbers: [19, 4]
Generated Node #0,0,0: 39:[19, 4] Operation: 65-61=4
Exploring Operation: 61-19=42, Resulting Numbers: [65, 42]
Generated Node #0,0,1: 39:[65, 42] Operation: 61-19=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[19, 4], Operations: ['88-23=65', '65-61=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[65, 42], Operations: ['88-23=65', '61-19=42']
Exploring Operation: 65+42=107, Resulting Numbers: [107]
107,39 unequal: No Solution
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
47,
10,
49,
60
] | 80 | [
"49-47=2",
"10*2=20",
"60+20=80"
] | Current State: 80:[47, 10, 49, 60], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [10, 60, 2]
Generated Node #2: [10, 60, 2] from Operation: 49-47=2
Current State: 80:[10, 60, 2], Operations: ['49-47=2']
Exploring Operation: 10*2=20, Resulting Numbers: [60, 20]
Generated Node #3: [60, 20] from Operation: 10*2=20
Current State: 80:[60, 20], Operations: ['49-47=2', '10*2=20']
Exploring Operation: 60+20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[47, 10, 49, 60], Operations: []
Exploring Operation: 60-49=11, Resulting Numbers: [47, 10, 11]
Generated Node #0,0: 80:[47, 10, 11] Operation: 60-49=11
Exploring Operation: 60/10=6, Resulting Numbers: [47, 49, 6]
Generated Node #0,1: 80:[47, 49, 6] Operation: 60/10=6
Exploring Operation: 60-47=13, Resulting Numbers: [10, 49, 13]
Generated Node #0,2: 80:[10, 49, 13] Operation: 60-47=13
Exploring Operation: 49-47=2, Resulting Numbers: [10, 60, 2]
Generated Node #0,3: 80:[10, 60, 2] Operation: 49-47=2
Moving to Node #0,0
Current State: 80:[47, 10, 11], Operations: ['60-49=11']
Exploring Operation: 47-11=36, Resulting Numbers: [10, 36]
Generated Node #0,0,0: 80:[10, 36] Operation: 47-11=36
Exploring Operation: 47-10=37, Resulting Numbers: [11, 37]
Generated Node #0,0,1: 80:[11, 37] Operation: 47-10=37
Exploring Operation: 10+11=21, Resulting Numbers: [47, 21]
Generated Node #0,0,2: 80:[47, 21] Operation: 10+11=21
Exploring Operation: 11-10=1, Resulting Numbers: [47, 1]
Generated Node #0,0,3: 80:[47, 1] Operation: 11-10=1
Moving to Node #0,2
Current State: 80:[10, 49, 13], Operations: ['60-47=13']
Exploring Operation: 49-10=39, Resulting Numbers: [13, 39]
Generated Node #0,2,0: 80:[13, 39] Operation: 49-10=39
Exploring Operation: 13-10=3, Resulting Numbers: [49, 3]
Generated Node #0,2,1: 80:[49, 3] Operation: 13-10=3
Exploring Operation: 10+13=23, Resulting Numbers: [49, 23]
Generated Node #0,2,2: 80:[49, 23] Operation: 10+13=23
Exploring Operation: 49-13=36, Resulting Numbers: [10, 36]
Generated Node #0,2,3: 80:[10, 36] Operation: 49-13=36
Moving to Node #0,1
Current State: 80:[47, 49, 6], Operations: ['60/10=6']
Exploring Operation: 47+49=96, Resulting Numbers: [6, 96]
Generated Node #0,1,0: 80:[6, 96] Operation: 47+49=96
Exploring Operation: 47-6=41, Resulting Numbers: [49, 41]
Generated Node #0,1,1: 80:[49, 41] Operation: 47-6=41
Exploring Operation: 49-47=2, Resulting Numbers: [6, 2]
Generated Node #0,1,2: 80:[6, 2] Operation: 49-47=2
Exploring Operation: 49-6=43, Resulting Numbers: [47, 43]
Generated Node #0,1,3: 80:[47, 43] Operation: 49-6=43
Moving to Node #0,3
Current State: 80:[10, 60, 2], Operations: ['49-47=2']
Exploring Operation: 60/2=30, Resulting Numbers: [10, 30]
Generated Node #0,3,0: 80:[10, 30] Operation: 60/2=30
Exploring Operation: 10+60=70, Resulting Numbers: [2, 70]
Generated Node #0,3,1: 80:[2, 70] Operation: 10+60=70
Exploring Operation: 60/10=6, Resulting Numbers: [2, 6]
Generated Node #0,3,2: 80:[2, 6] Operation: 60/10=6
Exploring Operation: 60-10=50, Resulting Numbers: [2, 50]
Generated Node #0,3,3: 80:[2, 50] Operation: 60-10=50
Moving to Node #0,1,2
Current State: 80:[6, 2], Operations: ['60/10=6', '49-47=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[2, 6], Operations: ['49-47=2', '60/10=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[10, 36], Operations: ['60-47=13', '49-13=36']
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,80 unequal: No Solution
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[10, 36], Operations: ['60-49=11', '47-11=36']
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,80 unequal: No Solution
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[13, 39], Operations: ['60-47=13', '49-10=39']
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 13*39=507, Resulting Numbers: [507]
507,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[11, 37], Operations: ['60-49=11', '47-10=37']
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 11*37=407, Resulting Numbers: [407]
407,80 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[47, 21], Operations: ['60-49=11', '10+11=21']
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,80 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[47, 1], Operations: ['60-49=11', '11-10=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[49, 3], Operations: ['60-47=13', '13-10=3']
Exploring Operation: 49*3=147, Resulting Numbers: [147]
147,80 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[10, 30], Operations: ['49-47=2', '60/2=30']
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 10*30=300, Resulting Numbers: [300]
300,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[2, 70], Operations: ['49-47=2', '10+60=70']
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,80 unequal: No Solution
Exploring Operation: 2*70=140, Resulting Numbers: [140]
140,80 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[47, 43], Operations: ['60/10=6', '49-6=43']
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,80 unequal: No Solution
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[49, 41], Operations: ['60/10=6', '47-6=41']
Exploring Operation: 49*41=2009, Resulting Numbers: [2009]
2009,80 unequal: No Solution
Exploring Operation: 49-41=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 49+41=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[2, 50], Operations: ['49-47=2', '60-10=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,80 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[49, 23], Operations: ['60-47=13', '10+13=23']
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,80 unequal: No Solution
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 49*23=1127, Resulting Numbers: [1127]
1127,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[6, 96], Operations: ['60/10=6', '47+49=96']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 6*96=576, Resulting Numbers: [576]
576,80 unequal: No Solution
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 6+96=102, Resulting Numbers: [102]
102,80 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
26,
73,
10,
63
] | 27 | [
"73-10=63",
"63/63=1",
"26+1=27"
] | Current State: 27:[26, 73, 10, 63], Operations: []
Exploring Operation: 73-10=63, Resulting Numbers: [26, 63, 63]
Generated Node #2: [26, 63, 63] from Operation: 73-10=63
Current State: 27:[26, 63, 63], Operations: ['73-10=63']
Exploring Operation: 63/63=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 63/63=1
Current State: 27:[26, 1], Operations: ['73-10=63', '63/63=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[26, 73, 10, 63], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [26, 10, 10]
Generated Node #0,0: 27:[26, 10, 10] Operation: 73-63=10
Exploring Operation: 73-26=47, Resulting Numbers: [10, 63, 47]
Generated Node #0,1: 27:[10, 63, 47] Operation: 73-26=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[26, 10, 10], Operations: ['73-63=10']
Exploring Operation: 10/10=1, Resulting Numbers: [26, 1]
Generated Node #0,0,0: 27:[26, 1] Operation: 10/10=1
Exploring Operation: 10-10=0, Resulting Numbers: [26, 0]
Generated Node #0,0,1: 27:[26, 0] Operation: 10-10=0
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[26, 1], Operations: ['73-63=10', '10/10=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[26, 73, 10, 63], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [26, 10, 10]
Generated Node #0,0: 27:[26, 10, 10] Operation: 73-63=10
Moving to Node #0,0
Current State: 27:[26, 10, 10], Operations: ['73-63=10']
Exploring Operation: 10/10=1, Resulting Numbers: [26, 1]
Generated Node #0,0,0: 27:[26, 1] Operation: 10/10=1
Moving to Node #0,0,0
Current State: 27:[26, 1], Operations: ['73-63=10', '10/10=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
99,
28,
8,
36
] | 83 | [
"99+28=127",
"8+36=44",
"127-44=83"
] | Current State: 83:[99, 28, 8, 36], Operations: []
Exploring Operation: 99+28=127, Resulting Numbers: [8, 36, 127]
Generated Node #2: [8, 36, 127] from Operation: 99+28=127
Current State: 83:[8, 36, 127], Operations: ['99+28=127']
Exploring Operation: 8+36=44, Resulting Numbers: [127, 44]
Generated Node #3: [127, 44] from Operation: 8+36=44
Current State: 83:[127, 44], Operations: ['99+28=127', '8+36=44']
Exploring Operation: 127-44=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[99, 28, 8, 36], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [28, 36, 91]
Generated Node #0,0: 83:[28, 36, 91] Operation: 99-8=91
Exploring Operation: 28+36=64, Resulting Numbers: [99, 8, 64]
Generated Node #0,1: 83:[99, 8, 64] Operation: 28+36=64
Exploring Operation: 28+8=36, Resulting Numbers: [99, 36, 36]
Generated Node #0,2: 83:[99, 36, 36] Operation: 28+8=36
Exploring Operation: 8+36=44, Resulting Numbers: [99, 28, 44]
Generated Node #0,3: 83:[99, 28, 44] Operation: 8+36=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[28, 36, 91], Operations: ['99-8=91']
Exploring Operation: 91-28=63, Resulting Numbers: [36, 63]
Generated Node #0,0,0: 83:[36, 63] Operation: 91-28=63
Exploring Operation: 28+91=119, Resulting Numbers: [36, 119]
Generated Node #0,0,1: 83:[36, 119] Operation: 28+91=119
Exploring Operation: 36-28=8, Resulting Numbers: [91, 8]
Generated Node #0,0,2: 83:[91, 8] Operation: 36-28=8
Exploring Operation: 28+36=64, Resulting Numbers: [91, 64]
Generated Node #0,0,3: 83:[91, 64] Operation: 28+36=64
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[91, 64], Operations: ['99-8=91', '28+36=64']
Exploring Operation: 91+64=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 91*64=5824, Resulting Numbers: [5824]
5824,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[36, 63], Operations: ['99-8=91', '91-28=63']
Exploring Operation: 36+63=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 36*63=2268, Resulting Numbers: [2268]
2268,83 unequal: No Solution
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[36, 119], Operations: ['99-8=91', '28+91=119']
Exploring Operation: 119-36=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[99, 28, 8, 36], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [28, 36, 91]
Generated Node #0,0: 83:[28, 36, 91] Operation: 99-8=91
Moving to Node #0,0
Current State: 83:[28, 36, 91], Operations: ['99-8=91']
Exploring Operation: 28+91=119, Resulting Numbers: [36, 119]
Generated Node #0,0,1: 83:[36, 119] Operation: 28+91=119
Moving to Node #0,0,1
Current State: 83:[36, 119], Operations: ['99-8=91', '28+91=119']
Exploring Operation: 119-36=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
99,
70,
32,
34
] | 41 | [
"34-32=2",
"70*2=140",
"140-99=41"
] | Current State: 41:[99, 70, 32, 34], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [99, 70, 2]
Generated Node #2: [99, 70, 2] from Operation: 34-32=2
Current State: 41:[99, 70, 2], Operations: ['34-32=2']
Exploring Operation: 70*2=140, Resulting Numbers: [99, 140]
Generated Node #3: [99, 140] from Operation: 70*2=140
Current State: 41:[99, 140], Operations: ['34-32=2', '70*2=140']
Exploring Operation: 140-99=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[99, 70, 32, 34], Operations: []
Exploring Operation: 99-34=65, Resulting Numbers: [70, 32, 65]
Generated Node #0,0: 41:[70, 32, 65] Operation: 99-34=65
Exploring Operation: 99-32=67, Resulting Numbers: [70, 34, 67]
Generated Node #0,1: 41:[70, 34, 67] Operation: 99-32=67
Exploring Operation: 70-32=38, Resulting Numbers: [99, 34, 38]
Generated Node #0,2: 41:[99, 34, 38] Operation: 70-32=38
Exploring Operation: 99-70=29, Resulting Numbers: [32, 34, 29]
Generated Node #0,3: 41:[32, 34, 29] Operation: 99-70=29
Moving to Node #0,3
Current State: 41:[32, 34, 29], Operations: ['99-70=29']
Exploring Operation: 32+29=61, Resulting Numbers: [34, 61]
Generated Node #0,3,0: 41:[34, 61] Operation: 32+29=61
Exploring Operation: 32-29=3, Resulting Numbers: [34, 3]
Generated Node #0,3,1: 41:[34, 3] Operation: 32-29=3
Exploring Operation: 32+34=66, Resulting Numbers: [29, 66]
Generated Node #0,3,2: 41:[29, 66] Operation: 32+34=66
Exploring Operation: 34+29=63, Resulting Numbers: [32, 63]
Generated Node #0,3,3: 41:[32, 63] Operation: 34+29=63
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 41:[34, 61], Operations: ['99-70=29', '32+29=61']
Exploring Operation: 34*61=2074, Resulting Numbers: [2074]
2074,41 unequal: No Solution
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,41 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 41:[32, 63], Operations: ['99-70=29', '34+29=63']
Exploring Operation: 32*63=2016, Resulting Numbers: [2016]
2016,41 unequal: No Solution
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 32+63=95, Resulting Numbers: [95]
95,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 41:[29, 66], Operations: ['99-70=29', '32+34=66']
Exploring Operation: 29*66=1914, Resulting Numbers: [1914]
1914,41 unequal: No Solution
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,41 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 41:[34, 3], Operations: ['99-70=29', '32-29=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,41 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,41 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: 41:[70, 34, 67], Operations: ['99-32=67']
Exploring Operation: 70-67=3, Resulting Numbers: [34, 3]
Generated Node #0,1,0: 41:[34, 3] Operation: 70-67=3
Exploring Operation: 70-34=36, Resulting Numbers: [67, 36]
Generated Node #0,1,1: 41:[67, 36] Operation: 70-34=36
Exploring Operation: 67-34=33, Resulting Numbers: [70, 33]
Generated Node #0,1,2: 41:[70, 33] Operation: 67-34=33
Exploring Operation: 70+34=104, Resulting Numbers: [67, 104]
Generated Node #0,1,3: 41:[67, 104] Operation: 70+34=104
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[67, 36], Operations: ['99-32=67', '70-34=36']
Exploring Operation: 67+36=103, Resulting Numbers: [103]
103,41 unequal: No Solution
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 67*36=2412, Resulting Numbers: [2412]
2412,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[70, 33], Operations: ['99-32=67', '67-34=33']
Exploring Operation: 70+33=103, Resulting Numbers: [103]
103,41 unequal: No Solution
Exploring Operation: 70*33=2310, Resulting Numbers: [2310]
2310,41 unequal: No Solution
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[34, 3], Operations: ['99-32=67', '70-67=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,41 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 41:[67, 104], Operations: ['99-32=67', '70+34=104']
Exploring Operation: 104-67=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 67*104=6968, Resulting Numbers: [6968]
6968,41 unequal: No Solution
Exploring Operation: 67+104=171, Resulting Numbers: [171]
171,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 41:[70, 32, 65], Operations: ['99-34=65']
Exploring Operation: 70-32=38, Resulting Numbers: [65, 38]
Generated Node #0,0,0: 41:[65, 38] Operation: 70-32=38
Exploring Operation: 70+32=102, Resulting Numbers: [65, 102]
Generated Node #0,0,1: 41:[65, 102] Operation: 70+32=102
Exploring Operation: 70-65=5, Resulting Numbers: [32, 5]
Generated Node #0,0,2: 41:[32, 5] Operation: 70-65=5
Exploring Operation: 65-32=33, Resulting Numbers: [70, 33]
Generated Node #0,0,3: 41:[70, 33] Operation: 65-32=33
Moving to Node #0,2
Current State: 41:[99, 34, 38], Operations: ['70-32=38']
Exploring Operation: 34+38=72, Resulting Numbers: [99, 72]
Generated Node #0,2,0: 41:[99, 72] Operation: 34+38=72
Exploring Operation: 99-38=61, Resulting Numbers: [34, 61]
Generated Node #0,2,1: 41:[34, 61] Operation: 99-38=61
Exploring Operation: 99+34=133, Resulting Numbers: [38, 133]
Generated Node #0,2,2: 41:[38, 133] Operation: 99+34=133
Exploring Operation: 99-34=65, Resulting Numbers: [38, 65]
Generated Node #0,2,3: 41:[38, 65] Operation: 99-34=65
Moving to Node #0,0,0
Current State: 41:[65, 38], Operations: ['99-34=65', '70-32=38']
Exploring Operation: 65+38=103, Resulting Numbers: [103]
103,41 unequal: No Solution
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 65*38=2470, Resulting Numbers: [2470]
2470,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[38, 65], Operations: ['70-32=38', '99-34=65']
Exploring Operation: 38+65=103, Resulting Numbers: [103]
103,41 unequal: No Solution
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 38*65=2470, Resulting Numbers: [2470]
2470,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[34, 61], Operations: ['70-32=38', '99-38=61']
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 34*61=2074, Resulting Numbers: [2074]
2074,41 unequal: No Solution
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[70, 33], Operations: ['99-34=65', '65-32=33']
Exploring Operation: 70*33=2310, Resulting Numbers: [2310]
2310,41 unequal: No Solution
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 70+33=103, Resulting Numbers: [103]
103,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[32, 5], Operations: ['99-34=65', '70-65=5']
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,41 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[65, 102], Operations: ['99-34=65', '70+32=102']
Exploring Operation: 65+102=167, Resulting Numbers: [167]
167,41 unequal: No Solution
Exploring Operation: 102-65=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 65*102=6630, Resulting Numbers: [6630]
6630,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[99, 72], Operations: ['70-32=38', '34+38=72']
Exploring Operation: 99*72=7128, Resulting Numbers: [7128]
7128,41 unequal: No Solution
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 99+72=171, Resulting Numbers: [171]
171,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[38, 133], Operations: ['70-32=38', '99+34=133']
Exploring Operation: 38*133=5054, Resulting Numbers: [5054]
5054,41 unequal: No Solution
Exploring Operation: 38+133=171, Resulting Numbers: [171]
171,41 unequal: No Solution
Exploring Operation: 133-38=95, Resulting Numbers: [95]
95,41 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
34,
50,
91,
7
] | 49 | [
"34+50=84",
"91-84=7",
"7*7=49"
] | Current State: 49:[34, 50, 91, 7], Operations: []
Exploring Operation: 34+50=84, Resulting Numbers: [91, 7, 84]
Generated Node #2: [91, 7, 84] from Operation: 34+50=84
Current State: 49:[91, 7, 84], Operations: ['34+50=84']
Exploring Operation: 91-84=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 91-84=7
Current State: 49:[7, 7], Operations: ['34+50=84', '91-84=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[34, 50, 91, 7], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [34, 50, 13]
Generated Node #0,0: 49:[34, 50, 13] Operation: 91/7=13
Exploring Operation: 91-34=57, Resulting Numbers: [50, 7, 57]
Generated Node #0,1: 49:[50, 7, 57] Operation: 91-34=57
Exploring Operation: 91-50=41, Resulting Numbers: [34, 7, 41]
Generated Node #0,2: 49:[34, 7, 41] Operation: 91-50=41
Moving to Node #0,1
Current State: 49:[50, 7, 57], Operations: ['91-34=57']
Exploring Operation: 50-7=43, Resulting Numbers: [57, 43]
Generated Node #0,1,0: 49:[57, 43] Operation: 50-7=43
Exploring Operation: 57-50=7, Resulting Numbers: [7, 7]
Generated Node #0,1,1: 49:[7, 7] Operation: 57-50=7
Exploring Operation: 57-7=50, Resulting Numbers: [50, 50]
Generated Node #0,1,2: 49:[50, 50] Operation: 57-7=50
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[7, 7], Operations: ['91-34=57', '57-50=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[34, 50, 91, 7], Operations: []
Exploring Operation: 91-34=57, Resulting Numbers: [50, 7, 57]
Generated Node #0,1: 49:[50, 7, 57] Operation: 91-34=57
Moving to Node #0,1
Current State: 49:[50, 7, 57], Operations: ['91-34=57']
Exploring Operation: 57-50=7, Resulting Numbers: [7, 7]
Generated Node #0,1,1: 49:[7, 7] Operation: 57-50=7
Moving to Node #0,1,1
Current State: 49:[7, 7], Operations: ['91-34=57', '57-50=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
15,
30,
63,
46
] | 28 | [
"15+30=45",
"63-46=17",
"45-17=28"
] | Current State: 28:[15, 30, 63, 46], Operations: []
Exploring Operation: 15+30=45, Resulting Numbers: [63, 46, 45]
Generated Node #2: [63, 46, 45] from Operation: 15+30=45
Current State: 28:[63, 46, 45], Operations: ['15+30=45']
Exploring Operation: 63-46=17, Resulting Numbers: [45, 17]
Generated Node #3: [45, 17] from Operation: 63-46=17
Current State: 28:[45, 17], Operations: ['15+30=45', '63-46=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[15, 30, 63, 46], Operations: []
Exploring Operation: 63-46=17, Resulting Numbers: [15, 30, 17]
Generated Node #0,0: 28:[15, 30, 17] Operation: 63-46=17
Exploring Operation: 46-30=16, Resulting Numbers: [15, 63, 16]
Generated Node #0,1: 28:[15, 63, 16] Operation: 46-30=16
Exploring Operation: 63-30=33, Resulting Numbers: [15, 46, 33]
Generated Node #0,2: 28:[15, 46, 33] Operation: 63-30=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[15, 30, 17], Operations: ['63-46=17']
Exploring Operation: 30/15=2, Resulting Numbers: [17, 2]
Generated Node #0,0,0: 28:[17, 2] Operation: 30/15=2
Exploring Operation: 30-17=13, Resulting Numbers: [15, 13]
Generated Node #0,0,1: 28:[15, 13] Operation: 30-17=13
Exploring Operation: 17-15=2, Resulting Numbers: [30, 2]
Generated Node #0,0,2: 28:[30, 2] Operation: 17-15=2
Moving to Node #0,0,1
Current State: 28:[15, 13], Operations: ['63-46=17', '30-17=13']
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,28 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[15, 30, 63, 46], Operations: []
Exploring Operation: 63-46=17, Resulting Numbers: [15, 30, 17]
Generated Node #0,0: 28:[15, 30, 17] Operation: 63-46=17
Moving to Node #0,0
Current State: 28:[15, 30, 17], Operations: ['63-46=17']
Exploring Operation: 30-17=13, Resulting Numbers: [15, 13]
Generated Node #0,0,1: 28:[15, 13] Operation: 30-17=13
Moving to Node #0,0,1
Current State: 28:[15, 13], Operations: ['63-46=17', '30-17=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
10,
18,
9,
52
] | 38 | [
"18-9=9",
"10*9=90",
"90-52=38"
] | Current State: 38:[10, 18, 9, 52], Operations: []
Exploring Operation: 18-9=9, Resulting Numbers: [10, 52, 9]
Generated Node #2: [10, 52, 9] from Operation: 18-9=9
Current State: 38:[10, 52, 9], Operations: ['18-9=9']
Exploring Operation: 10*9=90, Resulting Numbers: [52, 90]
Generated Node #3: [52, 90] from Operation: 10*9=90
Current State: 38:[52, 90], Operations: ['18-9=9', '10*9=90']
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[10, 18, 9, 52], Operations: []
Exploring Operation: 52-10=42, Resulting Numbers: [18, 9, 42]
Generated Node #0,0: 38:[18, 9, 42] Operation: 52-10=42
Exploring Operation: 52-18=34, Resulting Numbers: [10, 9, 34]
Generated Node #0,1: 38:[10, 9, 34] Operation: 52-18=34
Exploring Operation: 10+9=19, Resulting Numbers: [18, 52, 19]
Generated Node #0,2: 38:[18, 52, 19] Operation: 10+9=19
Exploring Operation: 52-9=43, Resulting Numbers: [10, 18, 43]
Generated Node #0,3: 38:[10, 18, 43] Operation: 52-9=43
Exploring Operation: 10-9=1, Resulting Numbers: [18, 52, 1]
Generated Node #0,4: 38:[18, 52, 1] Operation: 10-9=1
Moving to Node #0,0
Current State: 38:[18, 9, 42], Operations: ['52-10=42']
Exploring Operation: 42-18=24, Resulting Numbers: [9, 24]
Generated Node #0,0,0: 38:[9, 24] Operation: 42-18=24
Exploring Operation: 18+9=27, Resulting Numbers: [42, 27]
Generated Node #0,0,1: 38:[42, 27] Operation: 18+9=27
Exploring Operation: 42-9=33, Resulting Numbers: [18, 33]
Generated Node #0,0,2: 38:[18, 33] Operation: 42-9=33
Exploring Operation: 18/9=2, Resulting Numbers: [42, 2]
Generated Node #0,0,3: 38:[42, 2] Operation: 18/9=2
Exploring Operation: 18-9=9, Resulting Numbers: [42, 9]
Generated Node #0,0,4: 38:[42, 9] Operation: 18-9=9
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 38:[42, 2], Operations: ['52-10=42', '18/9=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[18, 33], Operations: ['52-10=42', '42-9=33']
Exploring Operation: 18*33=594, Resulting Numbers: [594]
594,38 unequal: No Solution
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,38 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 #0,0,4
Current State: 38:[42, 9], Operations: ['52-10=42', '18-9=9']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,38 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 #0,0,0
Current State: 38:[9, 24], Operations: ['52-10=42', '42-18=24']
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,38 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[42, 27], Operations: ['52-10=42', '18+9=27']
Exploring Operation: 42*27=1134, Resulting Numbers: [1134]
1134,38 unequal: No Solution
Exploring Operation: 42-27=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 42+27=69, Resulting Numbers: [69]
69,38 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: 38:[10, 18, 43], Operations: ['52-9=43']
Exploring Operation: 43-10=33, Resulting Numbers: [18, 33]
Generated Node #0,3,0: 38:[18, 33] Operation: 43-10=33
Exploring Operation: 43-18=25, Resulting Numbers: [10, 25]
Generated Node #0,3,1: 38:[10, 25] Operation: 43-18=25
Exploring Operation: 18-10=8, Resulting Numbers: [43, 8]
Generated Node #0,3,2: 38:[43, 8] Operation: 18-10=8
Exploring Operation: 10+18=28, Resulting Numbers: [43, 28]
Generated Node #0,3,3: 38:[43, 28] Operation: 10+18=28
Exploring Operation: 10+43=53, Resulting Numbers: [18, 53]
Generated Node #0,3,4: 38:[18, 53] Operation: 10+43=53
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 38:[18, 33], Operations: ['52-9=43', '43-10=33']
Exploring Operation: 18*33=594, Resulting Numbers: [594]
594,38 unequal: No Solution
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,38 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 #0,3,2
Current State: 38:[43, 8], Operations: ['52-9=43', '18-10=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,38 unequal: No Solution
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,38 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 #0,3,1
Current State: 38:[10, 25], Operations: ['52-9=43', '43-18=25']
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,38 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,38 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 #0,3,3
Current State: 38:[43, 28], Operations: ['52-9=43', '10+18=28']
Exploring Operation: 43*28=1204, Resulting Numbers: [1204]
1204,38 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,38 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 #0,3,4
Current State: 38:[18, 53], Operations: ['52-9=43', '10+43=53']
Exploring Operation: 18*53=954, Resulting Numbers: [954]
954,38 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,38 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: 38:[18, 52, 19], Operations: ['10+9=19']
Exploring Operation: 18+19=37, Resulting Numbers: [52, 37]
Generated Node #0,2,0: 38:[52, 37] Operation: 18+19=37
Exploring Operation: 18+52=70, Resulting Numbers: [19, 70]
Generated Node #0,2,1: 38:[19, 70] Operation: 18+52=70
Exploring Operation: 52-18=34, Resulting Numbers: [19, 34]
Generated Node #0,2,2: 38:[19, 34] Operation: 52-18=34
Exploring Operation: 52-19=33, Resulting Numbers: [18, 33]
Generated Node #0,2,3: 38:[18, 33] Operation: 52-19=33
Exploring Operation: 19-18=1, Resulting Numbers: [52, 1]
Generated Node #0,2,4: 38:[52, 1] Operation: 19-18=1
Moving to Node #0,4
Current State: 38:[18, 52, 1], Operations: ['10-9=1']
Exploring Operation: 52-18=34, Resulting Numbers: [1, 34]
Generated Node #0,4,0: 38:[1, 34] Operation: 52-18=34
Exploring Operation: 18/1=18, Resulting Numbers: [52, 18]
Generated Node #0,4,1: 38:[52, 18] Operation: 18/1=18
Exploring Operation: 18+1=19, Resulting Numbers: [52, 19]
Generated Node #0,4,2: 38:[52, 19] Operation: 18+1=19
Exploring Operation: 52-1=51, Resulting Numbers: [18, 51]
Generated Node #0,4,3: 38:[18, 51] Operation: 52-1=51
Exploring Operation: 18*1=18, Resulting Numbers: [52, 18]
Generated Node #0,4,4: 38:[52, 18] Operation: 18*1=18
Moving to Node #0,1
Current State: 38:[10, 9, 34], Operations: ['52-18=34']
Exploring Operation: 34-10=24, Resulting Numbers: [9, 24]
Generated Node #0,1,0: 38:[9, 24] Operation: 34-10=24
Exploring Operation: 10-9=1, Resulting Numbers: [34, 1]
Generated Node #0,1,1: 38:[34, 1] Operation: 10-9=1
Exploring Operation: 9+34=43, Resulting Numbers: [10, 43]
Generated Node #0,1,2: 38:[10, 43] Operation: 9+34=43
Exploring Operation: 10+9=19, Resulting Numbers: [34, 19]
Generated Node #0,1,3: 38:[34, 19] Operation: 10+9=19
Exploring Operation: 10+34=44, Resulting Numbers: [9, 44]
Generated Node #0,1,4: 38:[9, 44] Operation: 10+34=44
Moving to Node #0,2,2
Current State: 38:[19, 34], Operations: ['10+9=19', '52-18=34']
Exploring Operation: 19*34=646, Resulting Numbers: [646]
646,38 unequal: No Solution
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[34, 19], Operations: ['52-18=34', '10+9=19']
Exploring Operation: 34*19=646, Resulting Numbers: [646]
646,38 unequal: No Solution
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Moving to Node #0,4,0
Current State: 38:[1, 34], Operations: ['10-9=1', '52-18=34']
Exploring Operation: 1*34=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 1+34=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[34, 1], Operations: ['52-18=34', '10-9=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Moving to Node #0,2,3
Current State: 38:[18, 33], Operations: ['10+9=19', '52-19=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 18*33=594, Resulting Numbers: [594]
594,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[9, 24], Operations: ['52-18=34', '34-10=24']
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,38 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[10, 43], Operations: ['52-18=34', '9+34=43']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,38 unequal: No Solution
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Moving to Node #0,1,4
Current State: 38:[9, 44], Operations: ['52-18=34', '10+34=44']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,38 unequal: No Solution
Moving to Node #0,4,2
Current State: 38:[52, 19], Operations: ['10-9=1', '18+1=19']
Exploring Operation: 52+19=71, Resulting Numbers: [71]
71,38 unequal: No Solution
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 52*19=988, Resulting Numbers: [988]
988,38 unequal: No Solution
Moving to Node #0,4,3
Current State: 38:[18, 51], Operations: ['10-9=1', '52-1=51']
Exploring Operation: 18*51=918, Resulting Numbers: [918]
918,38 unequal: No Solution
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,38 unequal: No Solution
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[52, 37], Operations: ['10+9=19', '18+19=37']
Exploring Operation: 52+37=89, Resulting Numbers: [89]
89,38 unequal: No Solution
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 52*37=1924, Resulting Numbers: [1924]
1924,38 unequal: No Solution
Moving to Node #0,4,4
Current State: 38:[52, 18], Operations: ['10-9=1', '18*1=18']
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,38 unequal: No Solution
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Moving to Node #0,2,4
Current State: 38:[52, 1], Operations: ['10+9=19', '19-18=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Moving to Node #0,4,1
Current State: 38:[52, 18], Operations: ['10-9=1', '18/1=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,38 unequal: No Solution
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[19, 70], Operations: ['10+9=19', '18+52=70']
Exploring Operation: 19+70=89, Resulting Numbers: [89]
89,38 unequal: No Solution
Exploring Operation: 70-19=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 19*70=1330, Resulting Numbers: [1330]
1330,38 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
15,
9,
6,
29
] | 10 | [
"15+29=44",
"9*6=54",
"54-44=10"
] | Current State: 10:[15, 9, 6, 29], Operations: []
Exploring Operation: 15+29=44, Resulting Numbers: [9, 6, 44]
Generated Node #2: [9, 6, 44] from Operation: 15+29=44
Current State: 10:[9, 6, 44], Operations: ['15+29=44']
Exploring Operation: 9*6=54, Resulting Numbers: [44, 54]
Generated Node #3: [44, 54] from Operation: 9*6=54
Current State: 10:[44, 54], Operations: ['15+29=44', '9*6=54']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[15, 9, 6, 29], Operations: []
Exploring Operation: 29-6=23, Resulting Numbers: [15, 9, 23]
Generated Node #0,0: 10:[15, 9, 23] Operation: 29-6=23
Exploring Operation: 29-9=20, Resulting Numbers: [15, 6, 20]
Generated Node #0,1: 10:[15, 6, 20] Operation: 29-9=20
Exploring Operation: 29-15=14, Resulting Numbers: [9, 6, 14]
Generated Node #0,2: 10:[9, 6, 14] Operation: 29-15=14
Moving to Node #0,2
Current State: 10:[9, 6, 14], Operations: ['29-15=14']
Exploring Operation: 14-6=8, Resulting Numbers: [9, 8]
Generated Node #0,2,0: 10:[9, 8] Operation: 14-6=8
Exploring Operation: 14-9=5, Resulting Numbers: [6, 5]
Generated Node #0,2,1: 10:[6, 5] Operation: 14-9=5
Exploring Operation: 9-6=3, Resulting Numbers: [14, 3]
Generated Node #0,2,2: 10:[14, 3] Operation: 9-6=3
Moving to Node #0,1
Current State: 10:[15, 6, 20], Operations: ['29-9=20']
Exploring Operation: 20-15=5, Resulting Numbers: [6, 5]
Generated Node #0,1,0: 10:[6, 5] Operation: 20-15=5
Exploring Operation: 15-6=9, Resulting Numbers: [20, 9]
Generated Node #0,1,1: 10:[20, 9] Operation: 15-6=9
Exploring Operation: 20-6=14, Resulting Numbers: [15, 14]
Generated Node #0,1,2: 10:[15, 14] Operation: 20-6=14
Moving to Node #0,0
Current State: 10:[15, 9, 23], Operations: ['29-6=23']
Exploring Operation: 23-9=14, Resulting Numbers: [15, 14]
Generated Node #0,0,0: 10:[15, 14] Operation: 23-9=14
Exploring Operation: 15-9=6, Resulting Numbers: [23, 6]
Generated Node #0,0,1: 10:[23, 6] Operation: 15-9=6
Exploring Operation: 23-15=8, Resulting Numbers: [9, 8]
Generated Node #0,0,2: 10:[9, 8] Operation: 23-15=8
Moving to Node #0,2,1
Current State: 10:[6, 5], Operations: ['29-15=14', '14-9=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[6, 5], Operations: ['29-9=20', '20-15=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,10 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[9, 8], Operations: ['29-6=23', '23-15=8']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,10 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[9, 8], Operations: ['29-15=14', '14-6=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
Moving to Node #0,2,2
Current State: 10:[14, 3], Operations: ['29-15=14', '9-6=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Moving to Node #0,1,2
Current State: 10:[15, 14], Operations: ['29-9=20', '20-6=14']
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,10 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,10 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[15, 14], Operations: ['29-6=23', '23-9=14']
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,10 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[20, 9], Operations: ['29-9=20', '15-6=9']
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,10 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,10 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[23, 6], Operations: ['29-6=23', '15-9=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,10 unequal: No Solution
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,10 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
78,
18,
8,
36
] | 66 | [
"36-18=18",
"8*18=144",
"144-78=66"
] | Current State: 66:[78, 18, 8, 36], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [78, 8, 18]
Generated Node #2: [78, 8, 18] from Operation: 36-18=18
Current State: 66:[78, 8, 18], Operations: ['36-18=18']
Exploring Operation: 8*18=144, Resulting Numbers: [78, 144]
Generated Node #3: [78, 144] from Operation: 8*18=144
Current State: 66:[78, 144], Operations: ['36-18=18', '8*18=144']
Exploring Operation: 144-78=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[78, 18, 8, 36], Operations: []
Exploring Operation: 78-18=60, Resulting Numbers: [8, 36, 60]
Generated Node #0,0: 66:[8, 36, 60] Operation: 78-18=60
Exploring Operation: 78-8=70, Resulting Numbers: [18, 36, 70]
Generated Node #0,1: 66:[18, 36, 70] Operation: 78-8=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[8, 36, 60], Operations: ['78-18=60']
Exploring Operation: 8+60=68, Resulting Numbers: [36, 68]
Generated Node #0,0,0: 66:[36, 68] Operation: 8+60=68
Exploring Operation: 60-36=24, Resulting Numbers: [8, 24]
Generated Node #0,0,1: 66:[8, 24] Operation: 60-36=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[8, 24], Operations: ['78-18=60', '60-36=24']
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,66 unequal: No Solution
No 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: 66:[36, 68], Operations: ['78-18=60', '8+60=68']
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 36+68=104, Resulting Numbers: [104]
104,66 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: 66:[18, 36, 70], Operations: ['78-8=70']
Exploring Operation: 36/18=2, Resulting Numbers: [70, 2]
Generated Node #0,1,0: 66:[70, 2] Operation: 36/18=2
Exploring Operation: 70-36=34, Resulting Numbers: [18, 34]
Generated Node #0,1,1: 66:[18, 34] Operation: 70-36=34
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 66:[70, 2], Operations: ['78-8=70', '36/18=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,66 unequal: No Solution
No 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: 66:[18, 34], Operations: ['78-8=70', '70-36=34']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 18+34=52, Resulting Numbers: [52]
52,66 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 |
[
80,
34,
72,
37
] | 79 | [
"80+34=114",
"72-37=35",
"114-35=79"
] | Current State: 79:[80, 34, 72, 37], Operations: []
Exploring Operation: 80+34=114, Resulting Numbers: [72, 37, 114]
Generated Node #2: [72, 37, 114] from Operation: 80+34=114
Current State: 79:[72, 37, 114], Operations: ['80+34=114']
Exploring Operation: 72-37=35, Resulting Numbers: [114, 35]
Generated Node #3: [114, 35] from Operation: 72-37=35
Current State: 79:[114, 35], Operations: ['80+34=114', '72-37=35']
Exploring Operation: 114-35=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[80, 34, 72, 37], Operations: []
Exploring Operation: 34+37=71, Resulting Numbers: [80, 72, 71]
Generated Node #0,0: 79:[80, 72, 71] Operation: 34+37=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[80, 72, 71], Operations: ['34+37=71']
Exploring Operation: 72+71=143, Resulting Numbers: [80, 143]
Generated Node #0,0,0: 79:[80, 143] Operation: 72+71=143
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[80, 143], Operations: ['34+37=71', '72+71=143']
Exploring Operation: 143-80=63, Resulting Numbers: [63]
63,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
97,
33,
25,
28
] | 77 | [
"97+33=130",
"25+28=53",
"130-53=77"
] | Current State: 77:[97, 33, 25, 28], Operations: []
Exploring Operation: 97+33=130, Resulting Numbers: [25, 28, 130]
Generated Node #2: [25, 28, 130] from Operation: 97+33=130
Current State: 77:[25, 28, 130], Operations: ['97+33=130']
Exploring Operation: 25+28=53, Resulting Numbers: [130, 53]
Generated Node #3: [130, 53] from Operation: 25+28=53
Current State: 77:[130, 53], Operations: ['97+33=130', '25+28=53']
Exploring Operation: 130-53=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[97, 33, 25, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [97, 25, 5]
Generated Node #0,0: 77:[97, 25, 5] Operation: 33-28=5
Moving to Node #0,0
Current State: 77:[97, 25, 5], Operations: ['33-28=5']
Exploring Operation: 97-25=72, Resulting Numbers: [5, 72]
Generated Node #0,0,0: 77:[5, 72] Operation: 97-25=72
Moving to Node #0,0,0
Current State: 77:[5, 72], Operations: ['33-28=5', '97-25=72']
Exploring Operation: 5+72=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[97, 33, 25, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [97, 25, 5]
Generated Node #0,0: 77:[97, 25, 5] Operation: 33-28=5
Moving to Node #0,0
Current State: 77:[97, 25, 5], Operations: ['33-28=5']
Exploring Operation: 97-25=72, Resulting Numbers: [5, 72]
Generated Node #0,0,0: 77:[5, 72] Operation: 97-25=72
Moving to Node #0,0,0
Current State: 77:[5, 72], Operations: ['33-28=5', '97-25=72']
Exploring Operation: 5+72=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
47,
69,
82,
96
] | 36 | [
"69-47=22",
"96-82=14",
"22+14=36"
] | Current State: 36:[47, 69, 82, 96], Operations: []
Exploring Operation: 69-47=22, Resulting Numbers: [82, 96, 22]
Generated Node #2: [82, 96, 22] from Operation: 69-47=22
Current State: 36:[82, 96, 22], Operations: ['69-47=22']
Exploring Operation: 96-82=14, Resulting Numbers: [22, 14]
Generated Node #3: [22, 14] from Operation: 96-82=14
Current State: 36:[22, 14], Operations: ['69-47=22', '96-82=14']
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[47, 69, 82, 96], Operations: []
Exploring Operation: 96-47=49, Resulting Numbers: [69, 82, 49]
Generated Node #0,0: 36:[69, 82, 49] Operation: 96-47=49
Exploring Operation: 96-82=14, Resulting Numbers: [47, 69, 14]
Generated Node #0,1: 36:[47, 69, 14] Operation: 96-82=14
Exploring Operation: 96-69=27, Resulting Numbers: [47, 82, 27]
Generated Node #0,2: 36:[47, 82, 27] Operation: 96-69=27
Exploring Operation: 82-69=13, Resulting Numbers: [47, 96, 13]
Generated Node #0,3: 36:[47, 96, 13] Operation: 82-69=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[47, 69, 14], Operations: ['96-82=14']
Exploring Operation: 69-14=55, Resulting Numbers: [47, 55]
Generated Node #0,1,0: 36:[47, 55] Operation: 69-14=55
Exploring Operation: 69-47=22, Resulting Numbers: [14, 22]
Generated Node #0,1,1: 36:[14, 22] Operation: 69-47=22
Exploring Operation: 47+14=61, Resulting Numbers: [69, 61]
Generated Node #0,1,2: 36:[69, 61] Operation: 47+14=61
Exploring Operation: 47-14=33, Resulting Numbers: [69, 33]
Generated Node #0,1,3: 36:[69, 33] Operation: 47-14=33
Moving to Node #0,1,1
Current State: 36:[14, 22], Operations: ['96-82=14', '69-47=22']
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[47, 69, 82, 96], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [47, 69, 14]
Generated Node #0,1: 36:[47, 69, 14] Operation: 96-82=14
Moving to Node #0,1
Current State: 36:[47, 69, 14], Operations: ['96-82=14']
Exploring Operation: 69-47=22, Resulting Numbers: [14, 22]
Generated Node #0,1,1: 36:[14, 22] Operation: 69-47=22
Moving to Node #0,1,1
Current State: 36:[14, 22], Operations: ['96-82=14', '69-47=22']
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
58,
34,
47,
44
] | 50 | [
"58+44=102",
"102/34=3",
"47+3=50"
] | Current State: 50:[58, 34, 47, 44], Operations: []
Exploring Operation: 58+44=102, Resulting Numbers: [34, 47, 102]
Generated Node #2: [34, 47, 102] from Operation: 58+44=102
Current State: 50:[34, 47, 102], Operations: ['58+44=102']
Exploring Operation: 102/34=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 102/34=3
Current State: 50:[47, 3], Operations: ['58+44=102', '102/34=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[58, 34, 47, 44], Operations: []
Exploring Operation: 58-44=14, Resulting Numbers: [34, 47, 14]
Generated Node #0,0: 50:[34, 47, 14] Operation: 58-44=14
Exploring Operation: 58-47=11, Resulting Numbers: [34, 44, 11]
Generated Node #0,1: 50:[34, 44, 11] Operation: 58-47=11
Exploring Operation: 44-34=10, Resulting Numbers: [58, 47, 10]
Generated Node #0,2: 50:[58, 47, 10] Operation: 44-34=10
Exploring Operation: 58-34=24, Resulting Numbers: [47, 44, 24]
Generated Node #0,3: 50:[47, 44, 24] Operation: 58-34=24
Moving to Node #0,3
Current State: 50:[47, 44, 24], Operations: ['58-34=24']
Exploring Operation: 44+24=68, Resulting Numbers: [47, 68]
Generated Node #0,3,0: 50:[47, 68] Operation: 44+24=68
Exploring Operation: 47-24=23, Resulting Numbers: [44, 23]
Generated Node #0,3,1: 50:[44, 23] Operation: 47-24=23
Exploring Operation: 44-24=20, Resulting Numbers: [47, 20]
Generated Node #0,3,2: 50:[47, 20] Operation: 44-24=20
Exploring Operation: 47-44=3, Resulting Numbers: [24, 3]
Generated Node #0,3,3: 50:[24, 3] Operation: 47-44=3
Moving to Node #0,2
Current State: 50:[58, 47, 10], Operations: ['44-34=10']
Exploring Operation: 47-10=37, Resulting Numbers: [58, 37]
Generated Node #0,2,0: 50:[58, 37] Operation: 47-10=37
Exploring Operation: 58-10=48, Resulting Numbers: [47, 48]
Generated Node #0,2,1: 50:[47, 48] Operation: 58-10=48
Exploring Operation: 58-47=11, Resulting Numbers: [10, 11]
Generated Node #0,2,2: 50:[10, 11] Operation: 58-47=11
Exploring Operation: 47+10=57, Resulting Numbers: [58, 57]
Generated Node #0,2,3: 50:[58, 57] Operation: 47+10=57
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[10, 11], Operations: ['44-34=10', '58-47=11']
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,50 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[47, 48], Operations: ['44-34=10', '58-10=48']
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Exploring Operation: 47*48=2256, Resulting Numbers: [2256]
2256,50 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 50:[58, 57], Operations: ['44-34=10', '47+10=57']
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 58+57=115, Resulting Numbers: [115]
115,50 unequal: No Solution
Exploring Operation: 58*57=3306, Resulting Numbers: [3306]
3306,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 50:[58, 37], Operations: ['44-34=10', '47-10=37']
Exploring Operation: 58+37=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 58*37=2146, Resulting Numbers: [2146]
2146,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 50:[34, 44, 11], Operations: ['58-47=11']
Exploring Operation: 34-11=23, Resulting Numbers: [44, 23]
Generated Node #0,1,0: 50:[44, 23] Operation: 34-11=23
Exploring Operation: 34+11=45, Resulting Numbers: [44, 45]
Generated Node #0,1,1: 50:[44, 45] Operation: 34+11=45
Exploring Operation: 44/11=4, Resulting Numbers: [34, 4]
Generated Node #0,1,2: 50:[34, 4] Operation: 44/11=4
Exploring Operation: 44-34=10, Resulting Numbers: [11, 10]
Generated Node #0,1,3: 50:[11, 10] Operation: 44-34=10
Moving to Node #0,0
Current State: 50:[34, 47, 14], Operations: ['58-44=14']
Exploring Operation: 34-14=20, Resulting Numbers: [47, 20]
Generated Node #0,0,0: 50:[47, 20] Operation: 34-14=20
Exploring Operation: 34+14=48, Resulting Numbers: [47, 48]
Generated Node #0,0,1: 50:[47, 48] Operation: 34+14=48
Exploring Operation: 47-14=33, Resulting Numbers: [34, 33]
Generated Node #0,0,2: 50:[34, 33] Operation: 47-14=33
Exploring Operation: 47-34=13, Resulting Numbers: [14, 13]
Generated Node #0,0,3: 50:[14, 13] Operation: 47-34=13
Moving to Node #0,1,3
Current State: 50:[11, 10], Operations: ['58-47=11', '44-34=10']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,50 unequal: No Solution
Moving to Node #0,3,3
Current State: 50:[24, 3], Operations: ['58-34=24', '47-44=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[47, 48], Operations: ['58-44=14', '34+14=48']
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Exploring Operation: 47*48=2256, Resulting Numbers: [2256]
2256,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[14, 13], Operations: ['58-44=14', '47-34=13']
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,50 unequal: No Solution
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Moving to Node #0,3,2
Current State: 50:[47, 20], Operations: ['58-34=24', '44-24=20']
Exploring Operation: 47*20=940, Resulting Numbers: [940]
940,50 unequal: No Solution
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[44, 23], Operations: ['58-47=11', '34-11=23']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 44*23=1012, Resulting Numbers: [1012]
1012,50 unequal: No Solution
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Moving to Node #0,3,1
Current State: 50:[44, 23], Operations: ['58-34=24', '47-24=23']
Exploring Operation: 44*23=1012, Resulting Numbers: [1012]
1012,50 unequal: No Solution
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[47, 20], Operations: ['58-44=14', '34-14=20']
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 47*20=940, Resulting Numbers: [940]
940,50 unequal: No Solution
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[34, 4], Operations: ['58-47=11', '44/11=4']
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,50 unequal: No Solution
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,50 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[44, 45], Operations: ['58-47=11', '34+11=45']
Exploring Operation: 44+45=89, Resulting Numbers: [89]
89,50 unequal: No Solution
Exploring Operation: 44*45=1980, Resulting Numbers: [1980]
1980,50 unequal: No Solution
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[34, 33], Operations: ['58-44=14', '47-14=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,50 unequal: No Solution
Moving to Node #0,3,0
Current State: 50:[47, 68], Operations: ['58-34=24', '44+24=68']
Exploring Operation: 47*68=3196, Resulting Numbers: [3196]
3196,50 unequal: No Solution
Exploring Operation: 47+68=115, Resulting Numbers: [115]
115,50 unequal: No Solution
Exploring Operation: 68-47=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
80,
64,
70,
56
] | 18 | [
"80+64=144",
"70+56=126",
"144-126=18"
] | Current State: 18:[80, 64, 70, 56], Operations: []
Exploring Operation: 80+64=144, Resulting Numbers: [70, 56, 144]
Generated Node #2: [70, 56, 144] from Operation: 80+64=144
Current State: 18:[70, 56, 144], Operations: ['80+64=144']
Exploring Operation: 70+56=126, Resulting Numbers: [144, 126]
Generated Node #3: [144, 126] from Operation: 70+56=126
Current State: 18:[144, 126], Operations: ['80+64=144', '70+56=126']
Exploring Operation: 144-126=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[80, 64, 70, 56], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [64, 56, 10]
Generated Node #0,0: 18:[64, 56, 10] Operation: 80-70=10
Exploring Operation: 80-64=16, Resulting Numbers: [70, 56, 16]
Generated Node #0,1: 18:[70, 56, 16] Operation: 80-64=16
Exploring Operation: 70-56=14, Resulting Numbers: [80, 64, 14]
Generated Node #0,2: 18:[80, 64, 14] Operation: 70-56=14
Exploring Operation: 80-56=24, Resulting Numbers: [64, 70, 24]
Generated Node #0,3: 18:[64, 70, 24] Operation: 80-56=24
Exploring Operation: 70-64=6, Resulting Numbers: [80, 56, 6]
Generated Node #0,4: 18:[80, 56, 6] Operation: 70-64=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[64, 56, 10], Operations: ['80-70=10']
Exploring Operation: 64+10=74, Resulting Numbers: [56, 74]
Generated Node #0,0,0: 18:[56, 74] Operation: 64+10=74
Exploring Operation: 64-56=8, Resulting Numbers: [10, 8]
Generated Node #0,0,1: 18:[10, 8] Operation: 64-56=8
Exploring Operation: 64-10=54, Resulting Numbers: [56, 54]
Generated Node #0,0,2: 18:[56, 54] Operation: 64-10=54
Exploring Operation: 56+10=66, Resulting Numbers: [64, 66]
Generated Node #0,0,3: 18:[64, 66] Operation: 56+10=66
Exploring Operation: 56-10=46, Resulting Numbers: [64, 46]
Generated Node #0,0,4: 18:[64, 46] Operation: 56-10=46
Moving to Node #0,0,1
Current State: 18:[10, 8], Operations: ['80-70=10', '64-56=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[80, 64, 70, 56], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [64, 56, 10]
Generated Node #0,0: 18:[64, 56, 10] Operation: 80-70=10
Moving to Node #0,0
Current State: 18:[64, 56, 10], Operations: ['80-70=10']
Exploring Operation: 64-56=8, Resulting Numbers: [10, 8]
Generated Node #0,0,1: 18:[10, 8] Operation: 64-56=8
Moving to Node #0,0,1
Current State: 18:[10, 8], Operations: ['80-70=10', '64-56=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
32,
90,
11,
25
] | 86 | [
"32+90=122",
"11+25=36",
"122-36=86"
] | Current State: 86:[32, 90, 11, 25], Operations: []
Exploring Operation: 32+90=122, Resulting Numbers: [11, 25, 122]
Generated Node #2: [11, 25, 122] from Operation: 32+90=122
Current State: 86:[11, 25, 122], Operations: ['32+90=122']
Exploring Operation: 11+25=36, Resulting Numbers: [122, 36]
Generated Node #3: [122, 36] from Operation: 11+25=36
Current State: 86:[122, 36], Operations: ['32+90=122', '11+25=36']
Exploring Operation: 122-36=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[32, 90, 11, 25], Operations: []
Exploring Operation: 32+11=43, Resulting Numbers: [90, 25, 43]
Generated Node #0,0: 86:[90, 25, 43] Operation: 32+11=43
Exploring Operation: 32-25=7, Resulting Numbers: [90, 11, 7]
Generated Node #0,1: 86:[90, 11, 7] Operation: 32-25=7
Moving to Node #0,1
Current State: 86:[90, 11, 7], Operations: ['32-25=7']
Exploring Operation: 11-7=4, Resulting Numbers: [90, 4]
Generated Node #0,1,0: 86:[90, 4] Operation: 11-7=4
Exploring Operation: 90-11=79, Resulting Numbers: [7, 79]
Generated Node #0,1,1: 86:[7, 79] Operation: 90-11=79
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[90, 4], Operations: ['32-25=7', '11-7=4']
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,86 unequal: No Solution
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[32, 90, 11, 25], Operations: []
Exploring Operation: 32-25=7, Resulting Numbers: [90, 11, 7]
Generated Node #0,1: 86:[90, 11, 7] Operation: 32-25=7
Moving to Node #0,1
Current State: 86:[90, 11, 7], Operations: ['32-25=7']
Exploring Operation: 11-7=4, Resulting Numbers: [90, 4]
Generated Node #0,1,0: 86:[90, 4] Operation: 11-7=4
Moving to Node #0,1,0
Current State: 86:[90, 4], Operations: ['32-25=7', '11-7=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
28,
86,
24,
76
] | 71 | [
"86*24=2064",
"2064-76=1988",
"1988/28=71"
] | Current State: 71:[28, 86, 24, 76], Operations: []
Exploring Operation: 86*24=2064, Resulting Numbers: [28, 76, 2064]
Generated Node #2: [28, 76, 2064] from Operation: 86*24=2064
Current State: 71:[28, 76, 2064], Operations: ['86*24=2064']
Exploring Operation: 2064-76=1988, Resulting Numbers: [28, 1988]
Generated Node #3: [28, 1988] from Operation: 2064-76=1988
Current State: 71:[28, 1988], Operations: ['86*24=2064', '2064-76=1988']
Exploring Operation: 1988/28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[28, 86, 24, 76], Operations: []
Exploring Operation: 86-28=58, Resulting Numbers: [24, 76, 58]
Generated Node #0,0: 71:[24, 76, 58] Operation: 86-28=58
Exploring Operation: 86-24=62, Resulting Numbers: [28, 76, 62]
Generated Node #0,1: 71:[28, 76, 62] Operation: 86-24=62
Exploring Operation: 28+24=52, Resulting Numbers: [86, 76, 52]
Generated Node #0,2: 71:[86, 76, 52] Operation: 28+24=52
Exploring Operation: 76-24=52, Resulting Numbers: [28, 86, 52]
Generated Node #0,3: 71:[28, 86, 52] Operation: 76-24=52
Moving to Node #0,2
Current State: 71:[86, 76, 52], Operations: ['28+24=52']
Exploring Operation: 76-52=24, Resulting Numbers: [86, 24]
Generated Node #0,2,0: 71:[86, 24] Operation: 76-52=24
Exploring Operation: 86-52=34, Resulting Numbers: [76, 34]
Generated Node #0,2,1: 71:[76, 34] Operation: 86-52=34
Exploring Operation: 76+52=128, Resulting Numbers: [86, 128]
Generated Node #0,2,2: 71:[86, 128] Operation: 76+52=128
Exploring Operation: 86+52=138, Resulting Numbers: [76, 138]
Generated Node #0,2,3: 71:[76, 138] Operation: 86+52=138
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 71:[76, 34], Operations: ['28+24=52', '86-52=34']
Exploring Operation: 76*34=2584, Resulting Numbers: [2584]
2584,71 unequal: No Solution
Exploring Operation: 76+34=110, Resulting Numbers: [110]
110,71 unequal: No Solution
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 71:[86, 24], Operations: ['28+24=52', '76-52=24']
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 86*24=2064, Resulting Numbers: [2064]
2064,71 unequal: No Solution
Exploring Operation: 86+24=110, Resulting Numbers: [110]
110,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 71:[86, 128], Operations: ['28+24=52', '76+52=128']
Exploring Operation: 86*128=11008, Resulting Numbers: [11008]
11008,71 unequal: No Solution
Exploring Operation: 128-86=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 86+128=214, Resulting Numbers: [214]
214,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 71:[76, 138], Operations: ['28+24=52', '86+52=138']
Exploring Operation: 76*138=10488, Resulting Numbers: [10488]
10488,71 unequal: No Solution
Exploring Operation: 138-76=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 76+138=214, Resulting Numbers: [214]
214,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 71:[28, 76, 62], Operations: ['86-24=62']
Exploring Operation: 62-28=34, Resulting Numbers: [76, 34]
Generated Node #0,1,0: 71:[76, 34] Operation: 62-28=34
Exploring Operation: 28+76=104, Resulting Numbers: [62, 104]
Generated Node #0,1,1: 71:[62, 104] Operation: 28+76=104
Exploring Operation: 76-28=48, Resulting Numbers: [62, 48]
Generated Node #0,1,2: 71:[62, 48] Operation: 76-28=48
Exploring Operation: 28+62=90, Resulting Numbers: [76, 90]
Generated Node #0,1,3: 71:[76, 90] Operation: 28+62=90
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 71:[76, 90], Operations: ['86-24=62', '28+62=90']
Exploring Operation: 90-76=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 76+90=166, Resulting Numbers: [166]
166,71 unequal: No Solution
Exploring Operation: 76*90=6840, Resulting Numbers: [6840]
6840,71 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 #0,1,2
Current State: 71:[62, 48], Operations: ['86-24=62', '76-28=48']
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 62*48=2976, Resulting Numbers: [2976]
2976,71 unequal: No Solution
Exploring Operation: 62+48=110, Resulting Numbers: [110]
110,71 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 #0,1,0
Current State: 71:[76, 34], Operations: ['86-24=62', '62-28=34']
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 76*34=2584, Resulting Numbers: [2584]
2584,71 unequal: No Solution
Exploring Operation: 76+34=110, Resulting Numbers: [110]
110,71 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 #0,1,1
Current State: 71:[62, 104], Operations: ['86-24=62', '28+76=104']
Exploring Operation: 104-62=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 62*104=6448, Resulting Numbers: [6448]
6448,71 unequal: No Solution
Exploring Operation: 62+104=166, Resulting Numbers: [166]
166,71 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: 71:[24, 76, 58], Operations: ['86-28=58']
Exploring Operation: 24+76=100, Resulting Numbers: [58, 100]
Generated Node #0,0,0: 71:[58, 100] Operation: 24+76=100
Exploring Operation: 58-24=34, Resulting Numbers: [76, 34]
Generated Node #0,0,1: 71:[76, 34] Operation: 58-24=34
Exploring Operation: 24+58=82, Resulting Numbers: [76, 82]
Generated Node #0,0,2: 71:[76, 82] Operation: 24+58=82
Exploring Operation: 76-24=52, Resulting Numbers: [58, 52]
Generated Node #0,0,3: 71:[58, 52] Operation: 76-24=52
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[76, 82], Operations: ['86-28=58', '24+58=82']
Exploring Operation: 82-76=6, Resulting Numbers: [6]
6,71 unequal: No Solution
Exploring Operation: 76*82=6232, Resulting Numbers: [6232]
6232,71 unequal: No Solution
Exploring Operation: 76+82=158, Resulting Numbers: [158]
158,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 71:[58, 52], Operations: ['86-28=58', '76-24=52']
Exploring Operation: 58+52=110, Resulting Numbers: [110]
110,71 unequal: No Solution
Exploring Operation: 58-52=6, Resulting Numbers: [6]
6,71 unequal: No Solution
Exploring Operation: 58*52=3016, Resulting Numbers: [3016]
3016,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[58, 100], Operations: ['86-28=58', '24+76=100']
Exploring Operation: 58*100=5800, Resulting Numbers: [5800]
5800,71 unequal: No Solution
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 58+100=158, Resulting Numbers: [158]
158,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[76, 34], Operations: ['86-28=58', '58-24=34']
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 76*34=2584, Resulting Numbers: [2584]
2584,71 unequal: No Solution
Exploring Operation: 76+34=110, Resulting Numbers: [110]
110,71 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: 71:[28, 86, 52], Operations: ['76-24=52']
Exploring Operation: 28+52=80, Resulting Numbers: [86, 80]
Generated Node #0,3,0: 71:[86, 80] Operation: 28+52=80
Exploring Operation: 52-28=24, Resulting Numbers: [86, 24]
Generated Node #0,3,1: 71:[86, 24] Operation: 52-28=24
Exploring Operation: 28+86=114, Resulting Numbers: [52, 114]
Generated Node #0,3,2: 71:[52, 114] Operation: 28+86=114
Exploring Operation: 86-28=58, Resulting Numbers: [52, 58]
Generated Node #0,3,3: 71:[52, 58] Operation: 86-28=58
Moving to Node #0,3,0
Current State: 71:[86, 80], Operations: ['76-24=52', '28+52=80']
Exploring Operation: 86+80=166, Resulting Numbers: [166]
166,71 unequal: No Solution
Exploring Operation: 86-80=6, Resulting Numbers: [6]
6,71 unequal: No Solution
Exploring Operation: 86*80=6880, Resulting Numbers: [6880]
6880,71 unequal: No Solution
Moving to Node #0,3,3
Current State: 71:[52, 58], Operations: ['76-24=52', '86-28=58']
Exploring Operation: 58-52=6, Resulting Numbers: [6]
6,71 unequal: No Solution
Exploring Operation: 52*58=3016, Resulting Numbers: [3016]
3016,71 unequal: No Solution
Exploring Operation: 52+58=110, Resulting Numbers: [110]
110,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[52, 114], Operations: ['76-24=52', '28+86=114']
Exploring Operation: 114-52=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 52+114=166, Resulting Numbers: [166]
166,71 unequal: No Solution
Exploring Operation: 52*114=5928, Resulting Numbers: [5928]
5928,71 unequal: No Solution
Moving to Node #0,3,1
Current State: 71:[86, 24], Operations: ['76-24=52', '52-28=24']
Exploring Operation: 86+24=110, Resulting Numbers: [110]
110,71 unequal: No Solution
Exploring Operation: 86*24=2064, Resulting Numbers: [2064]
2064,71 unequal: No Solution
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,71 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
51,
13,
45,
3
] | 39 | [
"51-45=6",
"6-3=3",
"13*3=39"
] | Current State: 39:[51, 13, 45, 3], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [13, 3, 6]
Generated Node #2: [13, 3, 6] from Operation: 51-45=6
Current State: 39:[13, 3, 6], Operations: ['51-45=6']
Exploring Operation: 6-3=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 6-3=3
Current State: 39:[13, 3], Operations: ['51-45=6', '6-3=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[51, 13, 45, 3], Operations: []
Exploring Operation: 45/3=15, Resulting Numbers: [51, 13, 15]
Generated Node #0,0: 39:[51, 13, 15] Operation: 45/3=15
Exploring Operation: 51/3=17, Resulting Numbers: [13, 45, 17]
Generated Node #0,1: 39:[13, 45, 17] Operation: 51/3=17
Exploring Operation: 51-45=6, Resulting Numbers: [13, 3, 6]
Generated Node #0,2: 39:[13, 3, 6] Operation: 51-45=6
Exploring Operation: 51-13=38, Resulting Numbers: [45, 3, 38]
Generated Node #0,3: 39:[45, 3, 38] Operation: 51-13=38
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[13, 3, 6], Operations: ['51-45=6']
Exploring Operation: 13-6=7, Resulting Numbers: [3, 7]
Generated Node #0,2,0: 39:[3, 7] Operation: 13-6=7
Exploring Operation: 13*3=39, Resulting Numbers: [6, 39]
Generated Node #0,2,1: 39:[6, 39] Operation: 13*3=39
Exploring Operation: 6/3=2, Resulting Numbers: [13, 2]
Generated Node #0,2,2: 39:[13, 2] Operation: 6/3=2
Exploring Operation: 6-3=3, Resulting Numbers: [13, 3]
Generated Node #0,2,3: 39:[13, 3] Operation: 6-3=3
Moving to Node #0,2,3
Current State: 39:[13, 3], Operations: ['51-45=6', '6-3=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[51, 13, 45, 3], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [13, 3, 6]
Generated Node #0,2: 39:[13, 3, 6] Operation: 51-45=6
Moving to Node #0,2
Current State: 39:[13, 3, 6], Operations: ['51-45=6']
Exploring Operation: 6-3=3, Resulting Numbers: [13, 3]
Generated Node #0,2,3: 39:[13, 3] Operation: 6-3=3
Moving to Node #0,2,3
Current State: 39:[13, 3], Operations: ['51-45=6', '6-3=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
68,
36,
28,
29
] | 72 | [
"36-29=7",
"28/7=4",
"68+4=72"
] | Current State: 72:[68, 36, 28, 29], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [68, 28, 7]
Generated Node #2: [68, 28, 7] from Operation: 36-29=7
Current State: 72:[68, 28, 7], Operations: ['36-29=7']
Exploring Operation: 28/7=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 28/7=4
Current State: 72:[68, 4], Operations: ['36-29=7', '28/7=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[68, 36, 28, 29], Operations: []
Exploring Operation: 29-28=1, Resulting Numbers: [68, 36, 1]
Generated Node #0,0: 72:[68, 36, 1] Operation: 29-28=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[68, 36, 1], Operations: ['29-28=1']
Exploring Operation: 68+1=69, Resulting Numbers: [36, 69]
Generated Node #0,0,0: 72:[36, 69] Operation: 68+1=69
Moving to Node #0,0,0
Current State: 72:[36, 69], Operations: ['29-28=1', '68+1=69']
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,72 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 |
[
62,
87,
55,
70
] | 40 | [
"87-62=25",
"70-55=15",
"25+15=40"
] | Current State: 40:[62, 87, 55, 70], Operations: []
Exploring Operation: 87-62=25, Resulting Numbers: [55, 70, 25]
Generated Node #2: [55, 70, 25] from Operation: 87-62=25
Current State: 40:[55, 70, 25], Operations: ['87-62=25']
Exploring Operation: 70-55=15, Resulting Numbers: [25, 15]
Generated Node #3: [25, 15] from Operation: 70-55=15
Current State: 40:[25, 15], Operations: ['87-62=25', '70-55=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[62, 87, 55, 70], Operations: []
Exploring Operation: 87-55=32, Resulting Numbers: [62, 70, 32]
Generated Node #0,0: 40:[62, 70, 32] Operation: 87-55=32
Exploring Operation: 70-55=15, Resulting Numbers: [62, 87, 15]
Generated Node #0,1: 40:[62, 87, 15] Operation: 70-55=15
Exploring Operation: 87-70=17, Resulting Numbers: [62, 55, 17]
Generated Node #0,2: 40:[62, 55, 17] Operation: 87-70=17
Exploring Operation: 70-62=8, Resulting Numbers: [87, 55, 8]
Generated Node #0,3: 40:[87, 55, 8] Operation: 70-62=8
Exploring Operation: 87-62=25, Resulting Numbers: [55, 70, 25]
Generated Node #0,4: 40:[55, 70, 25] Operation: 87-62=25
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[62, 55, 17], Operations: ['87-70=17']
Exploring Operation: 55-17=38, Resulting Numbers: [62, 38]
Generated Node #0,2,0: 40:[62, 38] Operation: 55-17=38
Exploring Operation: 62+17=79, Resulting Numbers: [55, 79]
Generated Node #0,2,1: 40:[55, 79] Operation: 62+17=79
Exploring Operation: 62-17=45, Resulting Numbers: [55, 45]
Generated Node #0,2,2: 40:[55, 45] Operation: 62-17=45
Exploring Operation: 62-55=7, Resulting Numbers: [17, 7]
Generated Node #0,2,3: 40:[17, 7] Operation: 62-55=7
Exploring Operation: 55+17=72, Resulting Numbers: [62, 72]
Generated Node #0,2,4: 40:[62, 72] Operation: 55+17=72
Moving to Node #0,2,3
Current State: 40:[17, 7], Operations: ['87-70=17', '62-55=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[55, 45], Operations: ['87-70=17', '62-17=45']
Exploring Operation: 55+45=100, Resulting Numbers: [100]
100,40 unequal: No Solution
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 55*45=2475, Resulting Numbers: [2475]
2475,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[62, 38], Operations: ['87-70=17', '55-17=38']
Exploring Operation: 62*38=2356, Resulting Numbers: [2356]
2356,40 unequal: No Solution
Exploring Operation: 62+38=100, Resulting Numbers: [100]
100,40 unequal: No Solution
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[55, 79], Operations: ['87-70=17', '62+17=79']
Exploring Operation: 79-55=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Exploring Operation: 55+79=134, Resulting Numbers: [134]
134,40 unequal: No Solution
Exploring Operation: 55*79=4345, Resulting Numbers: [4345]
4345,40 unequal: No Solution
Moving to Node #0,2,4
Current State: 40:[62, 72], Operations: ['87-70=17', '55+17=72']
Exploring Operation: 62+72=134, Resulting Numbers: [134]
134,40 unequal: No Solution
Exploring Operation: 62*72=4464, Resulting Numbers: [4464]
4464,40 unequal: No Solution
Exploring Operation: 72-62=10, Resulting Numbers: [10]
10,40 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 #0,4
Current State: 40:[55, 70, 25], Operations: ['87-62=25']
Exploring Operation: 70+25=95, Resulting Numbers: [55, 95]
Generated Node #0,4,0: 40:[55, 95] Operation: 70+25=95
Exploring Operation: 70-55=15, Resulting Numbers: [25, 15]
Generated Node #0,4,1: 40:[25, 15] Operation: 70-55=15
Exploring Operation: 70-25=45, Resulting Numbers: [55, 45]
Generated Node #0,4,2: 40:[55, 45] Operation: 70-25=45
Exploring Operation: 55-25=30, Resulting Numbers: [70, 30]
Generated Node #0,4,3: 40:[70, 30] Operation: 55-25=30
Exploring Operation: 55+25=80, Resulting Numbers: [70, 80]
Generated Node #0,4,4: 40:[70, 80] Operation: 55+25=80
Moving to Node #0,4,1
Current State: 40:[25, 15], Operations: ['87-62=25', '70-55=15']
Exploring Operation: 25*15=375, Resulting Numbers: [375]
375,40 unequal: No Solution
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[62, 87, 55, 70], Operations: []
Exploring Operation: 87-62=25, Resulting Numbers: [55, 70, 25]
Generated Node #0,4: 40:[55, 70, 25] Operation: 87-62=25
Moving to Node #0,4
Current State: 40:[55, 70, 25], Operations: ['87-62=25']
Exploring Operation: 70-55=15, Resulting Numbers: [25, 15]
Generated Node #0,4,1: 40:[25, 15] Operation: 70-55=15
Moving to Node #0,4,1
Current State: 40:[25, 15], Operations: ['87-62=25', '70-55=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_5 | mult_heuristic |
[
45,
80,
82,
50
] | 66 | [
"50-45=5",
"80/5=16",
"82-16=66"
] | Current State: 66:[45, 80, 82, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [80, 82, 5]
Generated Node #2: [80, 82, 5] from Operation: 50-45=5
Current State: 66:[80, 82, 5], Operations: ['50-45=5']
Exploring Operation: 80/5=16, Resulting Numbers: [82, 16]
Generated Node #3: [82, 16] from Operation: 80/5=16
Current State: 66:[82, 16], Operations: ['50-45=5', '80/5=16']
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[45, 80, 82, 50], Operations: []
Exploring Operation: 80-45=35, Resulting Numbers: [82, 50, 35]
Generated Node #0,0: 66:[82, 50, 35] Operation: 80-45=35
Exploring Operation: 80-50=30, Resulting Numbers: [45, 82, 30]
Generated Node #0,1: 66:[45, 82, 30] Operation: 80-50=30
Exploring Operation: 50-45=5, Resulting Numbers: [80, 82, 5]
Generated Node #0,2: 66:[80, 82, 5] Operation: 50-45=5
Exploring Operation: 82-50=32, Resulting Numbers: [45, 80, 32]
Generated Node #0,3: 66:[45, 80, 32] Operation: 82-50=32
Exploring Operation: 82-80=2, Resulting Numbers: [45, 50, 2]
Generated Node #0,4: 66:[45, 50, 2] Operation: 82-80=2
Moving to Node #0,3
Current State: 66:[45, 80, 32], Operations: ['82-50=32']
Exploring Operation: 45+32=77, Resulting Numbers: [80, 77]
Generated Node #0,3,0: 66:[80, 77] Operation: 45+32=77
Exploring Operation: 80-45=35, Resulting Numbers: [32, 35]
Generated Node #0,3,1: 66:[32, 35] Operation: 80-45=35
Exploring Operation: 80-32=48, Resulting Numbers: [45, 48]
Generated Node #0,3,2: 66:[45, 48] Operation: 80-32=48
Exploring Operation: 45-32=13, Resulting Numbers: [80, 13]
Generated Node #0,3,3: 66:[80, 13] Operation: 45-32=13
Exploring Operation: 80+32=112, Resulting Numbers: [45, 112]
Generated Node #0,3,4: 66:[45, 112] Operation: 80+32=112
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[32, 35], Operations: ['82-50=32', '80-45=35']
Exploring Operation: 32*35=1120, Resulting Numbers: [1120]
1120,66 unequal: No Solution
Exploring Operation: 32+35=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No 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: 66:[80, 13], Operations: ['82-50=32', '45-32=13']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,66 unequal: No Solution
No 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: 66:[80, 77], Operations: ['82-50=32', '45+32=77']
Exploring Operation: 80-77=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 80*77=6160, Resulting Numbers: [6160]
6160,66 unequal: No Solution
Exploring Operation: 80+77=157, Resulting Numbers: [157]
157,66 unequal: No Solution
No 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: 66:[45, 48], Operations: ['82-50=32', '80-32=48']
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,66 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,66 unequal: No Solution
No 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: 66:[45, 112], Operations: ['82-50=32', '80+32=112']
Exploring Operation: 45*112=5040, Resulting Numbers: [5040]
5040,66 unequal: No Solution
Exploring Operation: 45+112=157, Resulting Numbers: [157]
157,66 unequal: No Solution
Exploring Operation: 112-45=67, Resulting Numbers: [67]
67,66 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: 66:[45, 50, 2], Operations: ['82-80=2']
Exploring Operation: 50-45=5, Resulting Numbers: [2, 5]
Generated Node #0,4,0: 66:[2, 5] Operation: 50-45=5
Exploring Operation: 45-2=43, Resulting Numbers: [50, 43]
Generated Node #0,4,1: 66:[50, 43] Operation: 45-2=43
Exploring Operation: 50+2=52, Resulting Numbers: [45, 52]
Generated Node #0,4,2: 66:[45, 52] Operation: 50+2=52
Exploring Operation: 50/2=25, Resulting Numbers: [45, 25]
Generated Node #0,4,3: 66:[45, 25] Operation: 50/2=25
Exploring Operation: 50-2=48, Resulting Numbers: [45, 48]
Generated Node #0,4,4: 66:[45, 48] Operation: 50-2=48
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 66:[2, 5], Operations: ['82-80=2', '50-45=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,66 unequal: No Solution
No 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: 66:[45, 25], Operations: ['82-80=2', '50/2=25']
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,66 unequal: No Solution
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,66 unequal: No Solution
No 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: 66:[50, 43], Operations: ['82-80=2', '45-2=43']
Exploring Operation: 50*43=2150, Resulting Numbers: [2150]
2150,66 unequal: No Solution
Exploring Operation: 50-43=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 50+43=93, Resulting Numbers: [93]
93,66 unequal: No Solution
No 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: 66:[45, 52], Operations: ['82-80=2', '50+2=52']
Exploring Operation: 52-45=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 45+52=97, Resulting Numbers: [97]
97,66 unequal: No Solution
Exploring Operation: 45*52=2340, Resulting Numbers: [2340]
2340,66 unequal: No Solution
No 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: 66:[45, 48], Operations: ['82-80=2', '50-2=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,66 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,66 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: 66:[45, 82, 30], Operations: ['80-50=30']
Exploring Operation: 82-30=52, Resulting Numbers: [45, 52]
Generated Node #0,1,0: 66:[45, 52] Operation: 82-30=52
Exploring Operation: 82+30=112, Resulting Numbers: [45, 112]
Generated Node #0,1,1: 66:[45, 112] Operation: 82+30=112
Exploring Operation: 82-45=37, Resulting Numbers: [30, 37]
Generated Node #0,1,2: 66:[30, 37] Operation: 82-45=37
Exploring Operation: 45+30=75, Resulting Numbers: [82, 75]
Generated Node #0,1,3: 66:[82, 75] Operation: 45+30=75
Exploring Operation: 45-30=15, Resulting Numbers: [82, 15]
Generated Node #0,1,4: 66:[82, 15] Operation: 45-30=15
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[30, 37], Operations: ['80-50=30', '82-45=37']
Exploring Operation: 30+37=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 30*37=1110, Resulting Numbers: [1110]
1110,66 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,66 unequal: No Solution
No 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: 66:[82, 15], Operations: ['80-50=30', '45-30=15']
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,66 unequal: No Solution
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,66 unequal: No Solution
No 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: 66:[82, 75], Operations: ['80-50=30', '45+30=75']
Exploring Operation: 82*75=6150, Resulting Numbers: [6150]
6150,66 unequal: No Solution
Exploring Operation: 82-75=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 82+75=157, Resulting Numbers: [157]
157,66 unequal: No Solution
No 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: 66:[45, 52], Operations: ['80-50=30', '82-30=52']
Exploring Operation: 45*52=2340, Resulting Numbers: [2340]
2340,66 unequal: No Solution
Exploring Operation: 52-45=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 45+52=97, Resulting Numbers: [97]
97,66 unequal: No Solution
No 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: 66:[45, 112], Operations: ['80-50=30', '82+30=112']
Exploring Operation: 112-45=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 45*112=5040, Resulting Numbers: [5040]
5040,66 unequal: No Solution
Exploring Operation: 45+112=157, Resulting Numbers: [157]
157,66 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: 66:[80, 82, 5], Operations: ['50-45=5']
Exploring Operation: 80+5=85, Resulting Numbers: [82, 85]
Generated Node #0,2,0: 66:[82, 85] Operation: 80+5=85
Exploring Operation: 80/5=16, Resulting Numbers: [82, 16]
Generated Node #0,2,1: 66:[82, 16] Operation: 80/5=16
Exploring Operation: 82-5=77, Resulting Numbers: [80, 77]
Generated Node #0,2,2: 66:[80, 77] Operation: 82-5=77
Exploring Operation: 80-5=75, Resulting Numbers: [82, 75]
Generated Node #0,2,3: 66:[82, 75] Operation: 80-5=75
Exploring Operation: 82-80=2, Resulting Numbers: [5, 2]
Generated Node #0,2,4: 66:[5, 2] Operation: 82-80=2
Moving to Node #0,0
Current State: 66:[82, 50, 35], Operations: ['80-45=35']
Exploring Operation: 82+35=117, Resulting Numbers: [50, 117]
Generated Node #0,0,0: 66:[50, 117] Operation: 82+35=117
Exploring Operation: 82-50=32, Resulting Numbers: [35, 32]
Generated Node #0,0,1: 66:[35, 32] Operation: 82-50=32
Exploring Operation: 50+35=85, Resulting Numbers: [82, 85]
Generated Node #0,0,2: 66:[82, 85] Operation: 50+35=85
Exploring Operation: 50-35=15, Resulting Numbers: [82, 15]
Generated Node #0,0,3: 66:[82, 15] Operation: 50-35=15
Exploring Operation: 82-35=47, Resulting Numbers: [50, 47]
Generated Node #0,0,4: 66:[50, 47] Operation: 82-35=47
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[35, 32], Operations: ['80-45=35', '82-50=32']
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,66 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No 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: 66:[82, 15], Operations: ['80-45=35', '50-35=15']
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,66 unequal: No Solution
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,66 unequal: No Solution
No 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: 66:[50, 47], Operations: ['80-45=35', '82-35=47']
Exploring Operation: 50*47=2350, Resulting Numbers: [2350]
2350,66 unequal: No Solution
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 50+47=97, Resulting Numbers: [97]
97,66 unequal: No Solution
No 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: 66:[82, 85], Operations: ['80-45=35', '50+35=85']
Exploring Operation: 82+85=167, Resulting Numbers: [167]
167,66 unequal: No Solution
Exploring Operation: 82*85=6970, Resulting Numbers: [6970]
6970,66 unequal: No Solution
Exploring Operation: 85-82=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No 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: 66:[50, 117], Operations: ['80-45=35', '82+35=117']
Exploring Operation: 117-50=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 50*117=5850, Resulting Numbers: [5850]
5850,66 unequal: No Solution
Exploring Operation: 50+117=167, Resulting Numbers: [167]
167,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 66:[5, 2], Operations: ['50-45=5', '82-80=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[82, 16], Operations: ['50-45=5', '80/5=16']
Exploring Operation: 82*16=1312, Resulting Numbers: [1312]
1312,66 unequal: No Solution
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[45, 80, 82, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [80, 82, 5]
Generated Node #0,2: 66:[80, 82, 5] Operation: 50-45=5
Moving to Node #0,2
Current State: 66:[80, 82, 5], Operations: ['50-45=5']
Exploring Operation: 80/5=16, Resulting Numbers: [82, 16]
Generated Node #0,2,1: 66:[82, 16] Operation: 80/5=16
Moving to Node #0,2,1
Current State: 66:[82, 16], Operations: ['50-45=5', '80/5=16']
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.914063 | hs_5 | sum_heuristic |
[
38,
33,
73,
82
] | 31 | [
"38-33=5",
"73+82=155",
"155/5=31"
] | Current State: 31:[38, 33, 73, 82], Operations: []
Exploring Operation: 38-33=5, Resulting Numbers: [73, 82, 5]
Generated Node #2: [73, 82, 5] from Operation: 38-33=5
Current State: 31:[73, 82, 5], Operations: ['38-33=5']
Exploring Operation: 73+82=155, Resulting Numbers: [5, 155]
Generated Node #3: [5, 155] from Operation: 73+82=155
Current State: 31:[5, 155], Operations: ['38-33=5', '73+82=155']
Exploring Operation: 155/5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[38, 33, 73, 82], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [38, 33, 9]
Generated Node #0,0: 31:[38, 33, 9] Operation: 82-73=9
Exploring Operation: 73-38=35, Resulting Numbers: [33, 82, 35]
Generated Node #0,1: 31:[33, 82, 35] Operation: 73-38=35
Moving to Node #0,0
Current State: 31:[38, 33, 9], Operations: ['82-73=9']
Exploring Operation: 38-9=29, Resulting Numbers: [33, 29]
Generated Node #0,0,0: 31:[33, 29] Operation: 38-9=29
Exploring Operation: 33-9=24, Resulting Numbers: [38, 24]
Generated Node #0,0,1: 31:[38, 24] Operation: 33-9=24
Moving to Node #0,1
Current State: 31:[33, 82, 35], Operations: ['73-38=35']
Exploring Operation: 82-35=47, Resulting Numbers: [33, 47]
Generated Node #0,1,0: 31:[33, 47] Operation: 82-35=47
Exploring Operation: 82-33=49, Resulting Numbers: [35, 49]
Generated Node #0,1,1: 31:[35, 49] Operation: 82-33=49
Moving to Node #0,0,0
Current State: 31:[33, 29], Operations: ['82-73=9', '38-9=29']
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 33+29=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[38, 24], Operations: ['82-73=9', '33-9=24']
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[33, 47], Operations: ['73-38=35', '82-35=47']
Exploring Operation: 33+47=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[35, 49], Operations: ['73-38=35', '82-33=49']
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,31 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,31 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
23,
26,
88,
1
] | 44 | [
"26-23=3",
"3-1=2",
"88/2=44"
] | Current State: 44:[23, 26, 88, 1], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [88, 1, 3]
Generated Node #2: [88, 1, 3] from Operation: 26-23=3
Current State: 44:[88, 1, 3], Operations: ['26-23=3']
Exploring Operation: 3-1=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 3-1=2
Current State: 44:[88, 2], Operations: ['26-23=3', '3-1=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[23, 26, 88, 1], Operations: []
Exploring Operation: 88-23=65, Resulting Numbers: [26, 1, 65]
Generated Node #0,0: 44:[26, 1, 65] Operation: 88-23=65
Exploring Operation: 88-26=62, Resulting Numbers: [23, 1, 62]
Generated Node #0,1: 44:[23, 1, 62] Operation: 88-26=62
Moving to Node #0,1
Current State: 44:[23, 1, 62], Operations: ['88-26=62']
Exploring Operation: 62-23=39, Resulting Numbers: [1, 39]
Generated Node #0,1,0: 44:[1, 39] Operation: 62-23=39
Exploring Operation: 23-1=22, Resulting Numbers: [62, 22]
Generated Node #0,1,1: 44:[62, 22] Operation: 23-1=22
Moving to Node #0,0
Current State: 44:[26, 1, 65], Operations: ['88-23=65']
Exploring Operation: 26-1=25, Resulting Numbers: [65, 25]
Generated Node #0,0,0: 44:[65, 25] Operation: 26-1=25
Exploring Operation: 65-26=39, Resulting Numbers: [1, 39]
Generated Node #0,0,1: 44:[1, 39] Operation: 65-26=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[1, 39], Operations: ['88-23=65', '65-26=39']
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,44 unequal: No Solution
No 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: 44:[65, 25], Operations: ['88-23=65', '26-1=25']
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,44 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: 44:[1, 39], Operations: ['88-26=62', '62-23=39']
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[62, 22], Operations: ['88-26=62', '23-1=22']
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 62+22=84, Resulting Numbers: [84]
84,44 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
29,
1,
84,
21
] | 91 | [
"29-1=28",
"84-21=63",
"28+63=91"
] | Current State: 91:[29, 1, 84, 21], Operations: []
Exploring Operation: 29-1=28, Resulting Numbers: [84, 21, 28]
Generated Node #2: [84, 21, 28] from Operation: 29-1=28
Current State: 91:[84, 21, 28], Operations: ['29-1=28']
Exploring Operation: 84-21=63, Resulting Numbers: [28, 63]
Generated Node #3: [28, 63] from Operation: 84-21=63
Current State: 91:[28, 63], Operations: ['29-1=28', '84-21=63']
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[29, 1, 84, 21], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [1, 84, 8]
Generated Node #0,0: 91:[1, 84, 8] Operation: 29-21=8
Exploring Operation: 29-1=28, Resulting Numbers: [84, 21, 28]
Generated Node #0,1: 91:[84, 21, 28] Operation: 29-1=28
Exploring Operation: 21-1=20, Resulting Numbers: [29, 84, 20]
Generated Node #0,2: 91:[29, 84, 20] Operation: 21-1=20
Exploring Operation: 1+84=85, Resulting Numbers: [29, 21, 85]
Generated Node #0,3: 91:[29, 21, 85] Operation: 1+84=85
Exploring Operation: 84/21=4, Resulting Numbers: [29, 1, 4]
Generated Node #0,4: 91:[29, 1, 4] Operation: 84/21=4
Moving to Node #0,0
Current State: 91:[1, 84, 8], Operations: ['29-21=8']
Exploring Operation: 8-1=7, Resulting Numbers: [84, 7]
Generated Node #0,0,0: 91:[84, 7] Operation: 8-1=7
Exploring Operation: 1*84=84, Resulting Numbers: [8, 84]
Generated Node #0,0,1: 91:[8, 84] Operation: 1*84=84
Exploring Operation: 84+8=92, Resulting Numbers: [1, 92]
Generated Node #0,0,2: 91:[1, 92] Operation: 84+8=92
Exploring Operation: 84/1=84, Resulting Numbers: [8, 84]
Generated Node #0,0,3: 91:[8, 84] Operation: 84/1=84
Exploring Operation: 1+84=85, Resulting Numbers: [8, 85]
Generated Node #0,0,4: 91:[8, 85] Operation: 1+84=85
Moving to Node #0,4
Current State: 91:[29, 1, 4], Operations: ['84/21=4']
Exploring Operation: 29*1=29, Resulting Numbers: [4, 29]
Generated Node #0,4,0: 91:[4, 29] Operation: 29*1=29
Exploring Operation: 29/1=29, Resulting Numbers: [4, 29]
Generated Node #0,4,1: 91:[4, 29] Operation: 29/1=29
Exploring Operation: 29-4=25, Resulting Numbers: [1, 25]
Generated Node #0,4,2: 91:[1, 25] Operation: 29-4=25
Exploring Operation: 1+4=5, Resulting Numbers: [29, 5]
Generated Node #0,4,3: 91:[29, 5] Operation: 1+4=5
Exploring Operation: 29-1=28, Resulting Numbers: [4, 28]
Generated Node #0,4,4: 91:[4, 28] Operation: 29-1=28
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 91:[1, 25], Operations: ['84/21=4', '29-4=25']
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,91 unequal: No Solution
Exploring Operation: 1+25=26, Resulting Numbers: [26]
26,91 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:[29, 5], Operations: ['84/21=4', '1+4=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,91 unequal: No Solution
Exploring Operation: 29*5=145, Resulting Numbers: [145]
145,91 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,91 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:[4, 28], Operations: ['84/21=4', '29-1=28']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,91 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,91 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,91 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 #0,4,0
Current State: 91:[4, 29], Operations: ['84/21=4', '29*1=29']
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,91 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,91 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:[4, 29], Operations: ['84/21=4', '29/1=29']
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,91 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,91 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:[84, 21, 28], Operations: ['29-1=28']
Exploring Operation: 28-21=7, Resulting Numbers: [84, 7]
Generated Node #0,1,0: 91:[84, 7] Operation: 28-21=7
Exploring Operation: 84/28=3, Resulting Numbers: [21, 3]
Generated Node #0,1,1: 91:[21, 3] Operation: 84/28=3
Exploring Operation: 84+28=112, Resulting Numbers: [21, 112]
Generated Node #0,1,2: 91:[21, 112] Operation: 84+28=112
Exploring Operation: 84/21=4, Resulting Numbers: [28, 4]
Generated Node #0,1,3: 91:[28, 4] Operation: 84/21=4
Exploring Operation: 84+21=105, Resulting Numbers: [28, 105]
Generated Node #0,1,4: 91:[28, 105] Operation: 84+21=105
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[84, 7], Operations: ['29-1=28', '28-21=7']
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[29, 1, 84, 21], Operations: []
Exploring Operation: 29-1=28, Resulting Numbers: [84, 21, 28]
Generated Node #0,1: 91:[84, 21, 28] Operation: 29-1=28
Moving to Node #0,1
Current State: 91:[84, 21, 28], Operations: ['29-1=28']
Exploring Operation: 28-21=7, Resulting Numbers: [84, 7]
Generated Node #0,1,0: 91:[84, 7] Operation: 28-21=7
Moving to Node #0,1,0
Current State: 91:[84, 7], Operations: ['29-1=28', '28-21=7']
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | sum_heuristic |
[
27,
95,
45,
90
] | 42 | [
"95+45=140",
"27*140=3780",
"3780/90=42"
] | Current State: 42:[27, 95, 45, 90], Operations: []
Exploring Operation: 95+45=140, Resulting Numbers: [27, 90, 140]
Generated Node #2: [27, 90, 140] from Operation: 95+45=140
Current State: 42:[27, 90, 140], Operations: ['95+45=140']
Exploring Operation: 27*140=3780, Resulting Numbers: [90, 3780]
Generated Node #3: [90, 3780] from Operation: 27*140=3780
Current State: 42:[90, 3780], Operations: ['95+45=140', '27*140=3780']
Exploring Operation: 3780/90=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[27, 95, 45, 90], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [27, 45, 5]
Generated Node #0,0: 42:[27, 45, 5] Operation: 95-90=5
Exploring Operation: 95-45=50, Resulting Numbers: [27, 90, 50]
Generated Node #0,1: 42:[27, 90, 50] Operation: 95-45=50
Exploring Operation: 90-45=45, Resulting Numbers: [27, 95, 45]
Generated Node #0,2: 42:[27, 95, 45] Operation: 90-45=45
Exploring Operation: 90/45=2, Resulting Numbers: [27, 95, 2]
Generated Node #0,3: 42:[27, 95, 2] Operation: 90/45=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[27, 45, 5], Operations: ['95-90=5']
Exploring Operation: 27-5=22, Resulting Numbers: [45, 22]
Generated Node #0,0,0: 42:[45, 22] Operation: 27-5=22
Exploring Operation: 45-5=40, Resulting Numbers: [27, 40]
Generated Node #0,0,1: 42:[27, 40] Operation: 45-5=40
Exploring Operation: 45-27=18, Resulting Numbers: [5, 18]
Generated Node #0,0,2: 42:[5, 18] Operation: 45-27=18
Exploring Operation: 45/5=9, Resulting Numbers: [27, 9]
Generated Node #0,0,3: 42:[27, 9] Operation: 45/5=9
Moving to Node #0,0,0
Current State: 42:[45, 22], Operations: ['95-90=5', '27-5=22']
Exploring Operation: 45+22=67, Resulting Numbers: [67]
67,42 unequal: No Solution
Exploring Operation: 45*22=990, Resulting Numbers: [990]
990,42 unequal: No Solution
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[5, 18], Operations: ['95-90=5', '45-27=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,42 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,42 unequal: No Solution
Moving to Node #0,0,3
Current State: 42:[27, 9], Operations: ['95-90=5', '45/5=9']
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,42 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[27, 40], Operations: ['95-90=5', '45-5=40']
Exploring Operation: 27*40=1080, Resulting Numbers: [1080]
1080,42 unequal: No Solution
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,42 unequal: No Solution
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 42:[27, 95, 2], Operations: ['90/45=2']
Exploring Operation: 27+2=29, Resulting Numbers: [95, 29]
Generated Node #0,3,0: 42:[95, 29] Operation: 27+2=29
Exploring Operation: 95-2=93, Resulting Numbers: [27, 93]
Generated Node #0,3,1: 42:[27, 93] Operation: 95-2=93
Exploring Operation: 95-27=68, Resulting Numbers: [2, 68]
Generated Node #0,3,2: 42:[2, 68] Operation: 95-27=68
Exploring Operation: 27-2=25, Resulting Numbers: [95, 25]
Generated Node #0,3,3: 42:[95, 25] Operation: 27-2=25
Moving to Node #0,3,2
Current State: 42:[2, 68], Operations: ['90/45=2', '95-27=68']
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,42 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 2*68=136, Resulting Numbers: [136]
136,42 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,42 unequal: No Solution
Moving to Node #0,3,3
Current State: 42:[95, 25], Operations: ['90/45=2', '27-2=25']
Exploring Operation: 95-25=70, Resulting Numbers: [70]
70,42 unequal: No Solution
Exploring Operation: 95*25=2375, Resulting Numbers: [2375]
2375,42 unequal: No Solution
Exploring Operation: 95+25=120, Resulting Numbers: [120]
120,42 unequal: No Solution
Moving to Node #0,3,1
Current State: 42:[27, 93], Operations: ['90/45=2', '95-2=93']
Exploring Operation: 27+93=120, Resulting Numbers: [120]
120,42 unequal: No Solution
Exploring Operation: 93-27=66, Resulting Numbers: [66]
66,42 unequal: No Solution
Exploring Operation: 27*93=2511, Resulting Numbers: [2511]
2511,42 unequal: No Solution
Moving to Node #0,3,0
Current State: 42:[95, 29], Operations: ['90/45=2', '27+2=29']
Exploring Operation: 95+29=124, Resulting Numbers: [124]
124,42 unequal: No Solution
Exploring Operation: 95*29=2755, Resulting Numbers: [2755]
2755,42 unequal: No Solution
Exploring Operation: 95-29=66, Resulting Numbers: [66]
66,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[27, 90, 50], Operations: ['95-45=50']
Exploring Operation: 90-50=40, Resulting Numbers: [27, 40]
Generated Node #0,1,0: 42:[27, 40] Operation: 90-50=40
Exploring Operation: 90-27=63, Resulting Numbers: [50, 63]
Generated Node #0,1,1: 42:[50, 63] Operation: 90-27=63
Exploring Operation: 50-27=23, Resulting Numbers: [90, 23]
Generated Node #0,1,2: 42:[90, 23] Operation: 50-27=23
Exploring Operation: 27+90=117, Resulting Numbers: [50, 117]
Generated Node #0,1,3: 42:[50, 117] Operation: 27+90=117
Moving to Node #0,1,0
Current State: 42:[27, 40], Operations: ['95-45=50', '90-50=40']
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,42 unequal: No Solution
Exploring Operation: 27*40=1080, Resulting Numbers: [1080]
1080,42 unequal: No Solution
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[50, 63], Operations: ['95-45=50', '90-27=63']
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,42 unequal: No Solution
Exploring Operation: 50*63=3150, Resulting Numbers: [3150]
3150,42 unequal: No Solution
Exploring Operation: 50+63=113, Resulting Numbers: [113]
113,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[90, 23], Operations: ['95-45=50', '50-27=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,42 unequal: No Solution
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,42 unequal: No Solution
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,42 unequal: No Solution
Moving to Node #0,1,3
Current State: 42:[50, 117], Operations: ['95-45=50', '27+90=117']
Exploring Operation: 50+117=167, Resulting Numbers: [167]
167,42 unequal: No Solution
Exploring Operation: 117-50=67, Resulting Numbers: [67]
67,42 unequal: No Solution
Exploring Operation: 50*117=5850, Resulting Numbers: [5850]
5850,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[27, 95, 45], Operations: ['90-45=45']
Exploring Operation: 95-27=68, Resulting Numbers: [45, 68]
Generated Node #0,2,0: 42:[45, 68] Operation: 95-27=68
Exploring Operation: 45-27=18, Resulting Numbers: [95, 18]
Generated Node #0,2,1: 42:[95, 18] Operation: 45-27=18
Exploring Operation: 27+95=122, Resulting Numbers: [45, 122]
Generated Node #0,2,2: 42:[45, 122] Operation: 27+95=122
Exploring Operation: 95-45=50, Resulting Numbers: [27, 50]
Generated Node #0,2,3: 42:[27, 50] Operation: 95-45=50
Moving to Node #0,2,3
Current State: 42:[27, 50], Operations: ['90-45=45', '95-45=50']
Exploring Operation: 27+50=77, Resulting Numbers: [77]
77,42 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 27*50=1350, Resulting Numbers: [1350]
1350,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[45, 68], Operations: ['90-45=45', '95-27=68']
Exploring Operation: 45*68=3060, Resulting Numbers: [3060]
3060,42 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 45+68=113, Resulting Numbers: [113]
113,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[95, 18], Operations: ['90-45=45', '45-27=18']
Exploring Operation: 95-18=77, Resulting Numbers: [77]
77,42 unequal: No Solution
Exploring Operation: 95+18=113, Resulting Numbers: [113]
113,42 unequal: No Solution
Exploring Operation: 95*18=1710, Resulting Numbers: [1710]
1710,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[45, 122], Operations: ['90-45=45', '27+95=122']
Exploring Operation: 45+122=167, Resulting Numbers: [167]
167,42 unequal: No Solution
Exploring Operation: 45*122=5490, Resulting Numbers: [5490]
5490,42 unequal: No Solution
Exploring Operation: 122-45=77, Resulting Numbers: [77]
77,42 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 |
[
8,
10,
40,
9
] | 98 | [
"10-8=2",
"40+9=49",
"2*49=98"
] | Current State: 98:[8, 10, 40, 9], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [40, 9, 2]
Generated Node #2: [40, 9, 2] from Operation: 10-8=2
Current State: 98:[40, 9, 2], Operations: ['10-8=2']
Exploring Operation: 40+9=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 40+9=49
Current State: 98:[2, 49], Operations: ['10-8=2', '40+9=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[8, 10, 40, 9], Operations: []
Exploring Operation: 10+40=50, Resulting Numbers: [8, 9, 50]
Generated Node #0,0: 98:[8, 9, 50] Operation: 10+40=50
Moving to Node #0,0
Current State: 98:[8, 9, 50], Operations: ['10+40=50']
Exploring Operation: 9-8=1, Resulting Numbers: [50, 1]
Generated Node #0,0,0: 98:[50, 1] Operation: 9-8=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[50, 1], Operations: ['10+40=50', '9-8=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,98 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 |
[
57,
77,
1,
35
] | 56 | [
"77-57=20",
"1+35=36",
"20+36=56"
] | Current State: 56:[57, 77, 1, 35], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [1, 35, 20]
Generated Node #2: [1, 35, 20] from Operation: 77-57=20
Current State: 56:[1, 35, 20], Operations: ['77-57=20']
Exploring Operation: 1+35=36, Resulting Numbers: [20, 36]
Generated Node #3: [20, 36] from Operation: 1+35=36
Current State: 56:[20, 36], Operations: ['77-57=20', '1+35=36']
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[57, 77, 1, 35], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [1, 35, 20]
Generated Node #0,0: 56:[1, 35, 20] Operation: 77-57=20
Exploring Operation: 77-35=42, Resulting Numbers: [57, 1, 42]
Generated Node #0,1: 56:[57, 1, 42] Operation: 77-35=42
Moving to Node #0,0
Current State: 56:[1, 35, 20], Operations: ['77-57=20']
Exploring Operation: 35+20=55, Resulting Numbers: [1, 55]
Generated Node #0,0,0: 56:[1, 55] Operation: 35+20=55
Exploring Operation: 35-20=15, Resulting Numbers: [1, 15]
Generated Node #0,0,1: 56:[1, 15] Operation: 35-20=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[1, 55], Operations: ['77-57=20', '35+20=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[57, 77, 1, 35], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [1, 35, 20]
Generated Node #0,0: 56:[1, 35, 20] Operation: 77-57=20
Moving to Node #0,0
Current State: 56:[1, 35, 20], Operations: ['77-57=20']
Exploring Operation: 35+20=55, Resulting Numbers: [1, 55]
Generated Node #0,0,0: 56:[1, 55] Operation: 35+20=55
Moving to Node #0,0,0
Current State: 56:[1, 55], Operations: ['77-57=20', '35+20=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
20,
28,
8,
7
] | 77 | [
"20*28=560",
"560/8=70",
"7+70=77"
] | Current State: 77:[20, 28, 8, 7], Operations: []
Exploring Operation: 20*28=560, Resulting Numbers: [8, 7, 560]
Generated Node #2: [8, 7, 560] from Operation: 20*28=560
Current State: 77:[8, 7, 560], Operations: ['20*28=560']
Exploring Operation: 560/8=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 560/8=70
Current State: 77:[7, 70], Operations: ['20*28=560', '560/8=70']
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[20, 28, 8, 7], Operations: []
Exploring Operation: 28/7=4, Resulting Numbers: [20, 8, 4]
Generated Node #0,0: 77:[20, 8, 4] Operation: 28/7=4
Exploring Operation: 20-7=13, Resulting Numbers: [28, 8, 13]
Generated Node #0,1: 77:[28, 8, 13] Operation: 20-7=13
Exploring Operation: 20-8=12, Resulting Numbers: [28, 7, 12]
Generated Node #0,2: 77:[28, 7, 12] Operation: 20-8=12
Exploring Operation: 28-20=8, Resulting Numbers: [8, 7, 8]
Generated Node #0,3: 77:[8, 7, 8] Operation: 28-20=8
Exploring Operation: 28-8=20, Resulting Numbers: [20, 7, 20]
Generated Node #0,4: 77:[20, 7, 20] Operation: 28-8=20
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[8, 7, 8], Operations: ['28-20=8']
Exploring Operation: 8-7=1, Resulting Numbers: [8, 1]
Generated Node #0,3,0: 77:[8, 1] Operation: 8-7=1
Exploring Operation: 7+8=15, Resulting Numbers: [8, 15]
Generated Node #0,3,1: 77:[8, 15] Operation: 7+8=15
Exploring Operation: 8+7=15, Resulting Numbers: [8, 15]
Generated Node #0,3,2: 77:[8, 15] Operation: 8+7=15
Exploring Operation: 8+8=16, Resulting Numbers: [7, 16]
Generated Node #0,3,3: 77:[7, 16] Operation: 8+8=16
Exploring Operation: 8/8=1, Resulting Numbers: [7, 1]
Generated Node #0,3,4: 77:[7, 1] Operation: 8/8=1
Moving to Node #0,3,1
Current State: 77:[8, 15], Operations: ['28-20=8', '7+8=15']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[7, 16], Operations: ['28-20=8', '8+8=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[8, 15], Operations: ['28-20=8', '8+7=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Moving to Node #0,3,4
Current State: 77:[7, 1], Operations: ['28-20=8', '8/8=1']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[8, 1], Operations: ['28-20=8', '8-7=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,77 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
Current State: 77:[20, 8, 4], Operations: ['28/7=4']
Exploring Operation: 20-4=16, Resulting Numbers: [8, 16]
Generated Node #0,0,0: 77:[8, 16] Operation: 20-4=16
Exploring Operation: 20*4=80, Resulting Numbers: [8, 80]
Generated Node #0,0,1: 77:[8, 80] Operation: 20*4=80
Exploring Operation: 20-8=12, Resulting Numbers: [4, 12]
Generated Node #0,0,2: 77:[4, 12] Operation: 20-8=12
Exploring Operation: 8+4=12, Resulting Numbers: [20, 12]
Generated Node #0,0,3: 77:[20, 12] Operation: 8+4=12
Exploring Operation: 20/4=5, Resulting Numbers: [8, 5]
Generated Node #0,0,4: 77:[8, 5] Operation: 20/4=5
Moving to Node #0,0,4
Current State: 77:[8, 5], Operations: ['28/7=4', '20/4=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,77 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,77 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[4, 12], Operations: ['28/7=4', '20-8=12']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[8, 80], Operations: ['28/7=4', '20*4=80']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 8*80=640, Resulting Numbers: [640]
640,77 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,77 unequal: No Solution
Exploring Operation: 8+80=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[8, 16], Operations: ['28/7=4', '20-4=16']
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Exploring Operation: 8*16=128, Resulting Numbers: [128]
128,77 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[20, 12], Operations: ['28/7=4', '8+4=12']
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,77 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[28, 7, 12], Operations: ['20-8=12']
Exploring Operation: 28/7=4, Resulting Numbers: [12, 4]
Generated Node #0,2,0: 77:[12, 4] Operation: 28/7=4
Exploring Operation: 28-7=21, Resulting Numbers: [12, 21]
Generated Node #0,2,1: 77:[12, 21] Operation: 28-7=21
Exploring Operation: 12-7=5, Resulting Numbers: [28, 5]
Generated Node #0,2,2: 77:[28, 5] Operation: 12-7=5
Exploring Operation: 28-12=16, Resulting Numbers: [7, 16]
Generated Node #0,2,3: 77:[7, 16] Operation: 28-12=16
Exploring Operation: 7*12=84, Resulting Numbers: [28, 84]
Generated Node #0,2,4: 77:[28, 84] Operation: 7*12=84
Moving to Node #0,2,0
Current State: 77:[12, 4], Operations: ['20-8=12', '28/7=4']
Exploring Operation: 12*4=48, Resulting Numbers: [48]
48,77 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Moving to Node #0,2,3
Current State: 77:[7, 16], Operations: ['20-8=12', '28-12=16']
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,77 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[12, 21], Operations: ['20-8=12', '28-7=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[28, 5], Operations: ['20-8=12', '12-7=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 28*5=140, Resulting Numbers: [140]
140,77 unequal: No Solution
Moving to Node #0,2,4
Current State: 77:[28, 84], Operations: ['20-8=12', '7*12=84']
Exploring Operation: 28+84=112, Resulting Numbers: [112]
112,77 unequal: No Solution
Exploring Operation: 28*84=2352, Resulting Numbers: [2352]
2352,77 unequal: No Solution
Exploring Operation: 84/28=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,77 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 #0,4
Current State: 77:[20, 7, 20], Operations: ['28-8=20']
Exploring Operation: 20-20=0, Resulting Numbers: [7, 0]
Generated Node #0,4,0: 77:[7, 0] Operation: 20-20=0
Exploring Operation: 20-7=13, Resulting Numbers: [20, 13]
Generated Node #0,4,1: 77:[20, 13] Operation: 20-7=13
Exploring Operation: 20-7=13, Resulting Numbers: [20, 13]
Generated Node #0,4,2: 77:[20, 13] Operation: 20-7=13
Exploring Operation: 20+7=27, Resulting Numbers: [20, 27]
Generated Node #0,4,3: 77:[20, 27] Operation: 20+7=27
Exploring Operation: 20/20=1, Resulting Numbers: [7, 1]
Generated Node #0,4,4: 77:[7, 1] Operation: 20/20=1
Moving to Node #0,4,4
Current State: 77:[7, 1], Operations: ['28-8=20', '20/20=1']
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Moving to Node #0,4,0
Current State: 77:[7, 0], Operations: ['28-8=20', '20-20=0']
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 7*0=0, Resulting Numbers: [0]
0,77 unequal: No Solution
Exploring Operation: 7+0=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Moving to Node #0,4,1
Current State: 77:[20, 13], Operations: ['28-8=20', '20-7=13']
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,77 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Moving to Node #0,4,2
Current State: 77:[20, 13], Operations: ['28-8=20', '20-7=13']
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,77 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Moving to Node #0,4,3
Current State: 77:[20, 27], Operations: ['28-8=20', '20+7=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,77 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,77 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[28, 8, 13], Operations: ['20-7=13']
Exploring Operation: 13-8=5, Resulting Numbers: [28, 5]
Generated Node #0,1,0: 77:[28, 5] Operation: 13-8=5
Exploring Operation: 28-8=20, Resulting Numbers: [13, 20]
Generated Node #0,1,1: 77:[13, 20] Operation: 28-8=20
Exploring Operation: 28-13=15, Resulting Numbers: [8, 15]
Generated Node #0,1,2: 77:[8, 15] Operation: 28-13=15
Exploring Operation: 28+8=36, Resulting Numbers: [13, 36]
Generated Node #0,1,3: 77:[13, 36] Operation: 28+8=36
Exploring Operation: 8+13=21, Resulting Numbers: [28, 21]
Generated Node #0,1,4: 77:[28, 21] Operation: 8+13=21
Moving to Node #0,1,2
Current State: 77:[8, 15], Operations: ['20-7=13', '28-13=15']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,77 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[13, 20], Operations: ['20-7=13', '28-8=20']
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,77 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[28, 5], Operations: ['20-7=13', '13-8=5']
Exploring Operation: 28*5=140, Resulting Numbers: [140]
140,77 unequal: No Solution
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[13, 36], Operations: ['20-7=13', '28+8=36']
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,77 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,77 unequal: No Solution
Moving to Node #0,1,4
Current State: 77:[28, 21], Operations: ['20-7=13', '8+13=21']
Exploring Operation: 28*21=588, Resulting Numbers: [588]
588,77 unequal: No Solution
Exploring Operation: 28+21=49, Resulting Numbers: [49]
49,77 unequal: No Solution
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
35,
64,
47,
37
] | 32 | [
"64+47=111",
"111/37=3",
"35-3=32"
] | Current State: 32:[35, 64, 47, 37], Operations: []
Exploring Operation: 64+47=111, Resulting Numbers: [35, 37, 111]
Generated Node #2: [35, 37, 111] from Operation: 64+47=111
Current State: 32:[35, 37, 111], Operations: ['64+47=111']
Exploring Operation: 111/37=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 111/37=3
Current State: 32:[35, 3], Operations: ['64+47=111', '111/37=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[35, 64, 47, 37], Operations: []
Exploring Operation: 64-35=29, Resulting Numbers: [47, 37, 29]
Generated Node #0,0: 32:[47, 37, 29] Operation: 64-35=29
Exploring Operation: 64-47=17, Resulting Numbers: [35, 37, 17]
Generated Node #0,1: 32:[35, 37, 17] Operation: 64-47=17
Moving to Node #0,1
Current State: 32:[35, 37, 17], Operations: ['64-47=17']
Exploring Operation: 35-17=18, Resulting Numbers: [37, 18]
Generated Node #0,1,0: 32:[37, 18] Operation: 35-17=18
Exploring Operation: 37-35=2, Resulting Numbers: [17, 2]
Generated Node #0,1,1: 32:[17, 2] Operation: 37-35=2
Moving to Node #0,0
Current State: 32:[47, 37, 29], Operations: ['64-35=29']
Exploring Operation: 47-29=18, Resulting Numbers: [37, 18]
Generated Node #0,0,0: 32:[37, 18] Operation: 47-29=18
Exploring Operation: 47-37=10, Resulting Numbers: [29, 10]
Generated Node #0,0,1: 32:[29, 10] Operation: 47-37=10
Moving to Node #0,1,1
Current State: 32:[17, 2], Operations: ['64-47=17', '37-35=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,32 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[29, 10], Operations: ['64-35=29', '47-37=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[37, 18], Operations: ['64-47=17', '35-17=18']
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,32 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[37, 18], Operations: ['64-35=29', '47-29=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,32 unequal: No Solution
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,32 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
62,
3,
77,
80
] | 71 | [
"80-62=18",
"18/3=6",
"77-6=71"
] | Current State: 71:[62, 3, 77, 80], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [3, 77, 18]
Generated Node #2: [3, 77, 18] from Operation: 80-62=18
Current State: 71:[3, 77, 18], Operations: ['80-62=18']
Exploring Operation: 18/3=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 18/3=6
Current State: 71:[77, 6], Operations: ['80-62=18', '18/3=6']
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[62, 3, 77, 80], Operations: []
Exploring Operation: 80-3=77, Resulting Numbers: [62, 77, 77]
Generated Node #0,0: 71:[62, 77, 77] Operation: 80-3=77
Exploring Operation: 3+77=80, Resulting Numbers: [62, 80, 80]
Generated Node #0,1: 71:[62, 80, 80] Operation: 3+77=80
Exploring Operation: 77-3=74, Resulting Numbers: [62, 80, 74]
Generated Node #0,2: 71:[62, 80, 74] Operation: 77-3=74
Exploring Operation: 62-3=59, Resulting Numbers: [77, 80, 59]
Generated Node #0,3: 71:[77, 80, 59] Operation: 62-3=59
Exploring Operation: 62+3=65, Resulting Numbers: [77, 80, 65]
Generated Node #0,4: 71:[77, 80, 65] Operation: 62+3=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[62, 77, 77], Operations: ['80-3=77']
Exploring Operation: 62+77=139, Resulting Numbers: [77, 139]
Generated Node #0,0,0: 71:[77, 139] Operation: 62+77=139
Exploring Operation: 77-62=15, Resulting Numbers: [77, 15]
Generated Node #0,0,1: 71:[77, 15] Operation: 77-62=15
Exploring Operation: 77/77=1, Resulting Numbers: [62, 1]
Generated Node #0,0,2: 71:[62, 1] Operation: 77/77=1
Exploring Operation: 62+77=139, Resulting Numbers: [77, 139]
Generated Node #0,0,3: 71:[77, 139] Operation: 62+77=139
Exploring Operation: 77-62=15, Resulting Numbers: [77, 15]
Generated Node #0,0,4: 71:[77, 15] Operation: 77-62=15
Moving to Node #0,0,1
Current State: 71:[77, 15], Operations: ['80-3=77', '77-62=15']
Exploring Operation: 77+15=92, Resulting Numbers: [92]
92,71 unequal: No Solution
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 77*15=1155, Resulting Numbers: [1155]
1155,71 unequal: No Solution
Moving to Node #0,0,4
Current State: 71:[77, 15], Operations: ['80-3=77', '77-62=15']
Exploring Operation: 77*15=1155, Resulting Numbers: [1155]
1155,71 unequal: No Solution
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 77+15=92, Resulting Numbers: [92]
92,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[77, 139], Operations: ['80-3=77', '62+77=139']
Exploring Operation: 77*139=10703, Resulting Numbers: [10703]
10703,71 unequal: No Solution
Exploring Operation: 139-77=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 77+139=216, Resulting Numbers: [216]
216,71 unequal: No Solution
Moving to Node #0,0,3
Current State: 71:[77, 139], Operations: ['80-3=77', '62+77=139']
Exploring Operation: 77*139=10703, Resulting Numbers: [10703]
10703,71 unequal: No Solution
Exploring Operation: 77+139=216, Resulting Numbers: [216]
216,71 unequal: No Solution
Exploring Operation: 139-77=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[62, 1], Operations: ['80-3=77', '77/77=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,71 unequal: No Solution
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[62, 80, 74], Operations: ['77-3=74']
Exploring Operation: 80-74=6, Resulting Numbers: [62, 6]
Generated Node #0,2,0: 71:[62, 6] Operation: 80-74=6
Exploring Operation: 74-62=12, Resulting Numbers: [80, 12]
Generated Node #0,2,1: 71:[80, 12] Operation: 74-62=12
Exploring Operation: 62+74=136, Resulting Numbers: [80, 136]
Generated Node #0,2,2: 71:[80, 136] Operation: 62+74=136
Exploring Operation: 62+80=142, Resulting Numbers: [74, 142]
Generated Node #0,2,3: 71:[74, 142] Operation: 62+80=142
Exploring Operation: 80-62=18, Resulting Numbers: [74, 18]
Generated Node #0,2,4: 71:[74, 18] Operation: 80-62=18
Moving to Node #0,2,4
Current State: 71:[74, 18], Operations: ['77-3=74', '80-62=18']
Exploring Operation: 74+18=92, Resulting Numbers: [92]
92,71 unequal: No Solution
Exploring Operation: 74*18=1332, Resulting Numbers: [1332]
1332,71 unequal: No Solution
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[80, 12], Operations: ['77-3=74', '74-62=12']
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,71 unequal: No Solution
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 80*12=960, Resulting Numbers: [960]
960,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[62, 6], Operations: ['77-3=74', '80-74=6']
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,71 unequal: No Solution
Exploring Operation: 62*6=372, Resulting Numbers: [372]
372,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[80, 136], Operations: ['77-3=74', '62+74=136']
Exploring Operation: 80*136=10880, Resulting Numbers: [10880]
10880,71 unequal: No Solution
Exploring Operation: 136-80=56, Resulting Numbers: [56]
56,71 unequal: No Solution
Exploring Operation: 80+136=216, Resulting Numbers: [216]
216,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[74, 142], Operations: ['77-3=74', '62+80=142']
Exploring Operation: 74*142=10508, Resulting Numbers: [10508]
10508,71 unequal: No Solution
Exploring Operation: 142-74=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 74+142=216, Resulting Numbers: [216]
216,71 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 #0,4
Current State: 71:[77, 80, 65], Operations: ['62+3=65']
Exploring Operation: 77+65=142, Resulting Numbers: [80, 142]
Generated Node #0,4,0: 71:[80, 142] Operation: 77+65=142
Exploring Operation: 80-77=3, Resulting Numbers: [65, 3]
Generated Node #0,4,1: 71:[65, 3] Operation: 80-77=3
Exploring Operation: 80+65=145, Resulting Numbers: [77, 145]
Generated Node #0,4,2: 71:[77, 145] Operation: 80+65=145
Exploring Operation: 80-65=15, Resulting Numbers: [77, 15]
Generated Node #0,4,3: 71:[77, 15] Operation: 80-65=15
Exploring Operation: 77-65=12, Resulting Numbers: [80, 12]
Generated Node #0,4,4: 71:[80, 12] Operation: 77-65=12
Moving to Node #0,4,3
Current State: 71:[77, 15], Operations: ['62+3=65', '80-65=15']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 77*15=1155, Resulting Numbers: [1155]
1155,71 unequal: No Solution
Exploring Operation: 77+15=92, Resulting Numbers: [92]
92,71 unequal: No Solution
Moving to Node #0,4,4
Current State: 71:[80, 12], Operations: ['62+3=65', '77-65=12']
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,71 unequal: No Solution
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 80*12=960, Resulting Numbers: [960]
960,71 unequal: No Solution
Moving to Node #0,4,1
Current State: 71:[65, 3], Operations: ['62+3=65', '80-77=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,71 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Moving to Node #0,4,0
Current State: 71:[80, 142], Operations: ['62+3=65', '77+65=142']
Exploring Operation: 80*142=11360, Resulting Numbers: [11360]
11360,71 unequal: No Solution
Exploring Operation: 142-80=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 80+142=222, Resulting Numbers: [222]
222,71 unequal: No Solution
Moving to Node #0,4,2
Current State: 71:[77, 145], Operations: ['62+3=65', '80+65=145']
Exploring Operation: 77+145=222, Resulting Numbers: [222]
222,71 unequal: No Solution
Exploring Operation: 145-77=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 77*145=11165, Resulting Numbers: [11165]
11165,71 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:[62, 80, 80], Operations: ['3+77=80']
Exploring Operation: 62+80=142, Resulting Numbers: [80, 142]
Generated Node #0,1,0: 71:[80, 142] Operation: 62+80=142
Exploring Operation: 80/80=1, Resulting Numbers: [62, 1]
Generated Node #0,1,1: 71:[62, 1] Operation: 80/80=1
Exploring Operation: 80-62=18, Resulting Numbers: [80, 18]
Generated Node #0,1,2: 71:[80, 18] Operation: 80-62=18
Exploring Operation: 80-62=18, Resulting Numbers: [80, 18]
Generated Node #0,1,3: 71:[80, 18] Operation: 80-62=18
Exploring Operation: 62+80=142, Resulting Numbers: [80, 142]
Generated Node #0,1,4: 71:[80, 142] Operation: 62+80=142
Moving to Node #0,1,2
Current State: 71:[80, 18], Operations: ['3+77=80', '80-62=18']
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,71 unequal: No Solution
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,71 unequal: No Solution
Moving to Node #0,1,3
Current State: 71:[80, 18], Operations: ['3+77=80', '80-62=18']
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,71 unequal: No Solution
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,71 unequal: No Solution
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[62, 1], Operations: ['3+77=80', '80/80=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,71 unequal: No Solution
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[80, 142], Operations: ['3+77=80', '62+80=142']
Exploring Operation: 142-80=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 80+142=222, Resulting Numbers: [222]
222,71 unequal: No Solution
Exploring Operation: 80*142=11360, Resulting Numbers: [11360]
11360,71 unequal: No Solution
Moving to Node #0,1,4
Current State: 71:[80, 142], Operations: ['3+77=80', '62+80=142']
Exploring Operation: 80*142=11360, Resulting Numbers: [11360]
11360,71 unequal: No Solution
Exploring Operation: 80+142=222, Resulting Numbers: [222]
222,71 unequal: No Solution
Exploring Operation: 142-80=62, Resulting Numbers: [62]
62,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 71:[77, 80, 59], Operations: ['62-3=59']
Exploring Operation: 77+59=136, Resulting Numbers: [80, 136]
Generated Node #0,3,0: 71:[80, 136] Operation: 77+59=136
Exploring Operation: 80-59=21, Resulting Numbers: [77, 21]
Generated Node #0,3,1: 71:[77, 21] Operation: 80-59=21
Exploring Operation: 77-59=18, Resulting Numbers: [80, 18]
Generated Node #0,3,2: 71:[80, 18] Operation: 77-59=18
Exploring Operation: 80+59=139, Resulting Numbers: [77, 139]
Generated Node #0,3,3: 71:[77, 139] Operation: 80+59=139
Exploring Operation: 80-77=3, Resulting Numbers: [59, 3]
Generated Node #0,3,4: 71:[59, 3] Operation: 80-77=3
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 71:[77, 21], Operations: ['62-3=59', '80-59=21']
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,71 unequal: No Solution
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,71 unequal: No Solution
Exploring Operation: 77*21=1617, Resulting Numbers: [1617]
1617,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 71:[80, 18], Operations: ['62-3=59', '77-59=18']
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,71 unequal: No Solution
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,71 unequal: No Solution
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 71:[80, 136], Operations: ['62-3=59', '77+59=136']
Exploring Operation: 80*136=10880, Resulting Numbers: [10880]
10880,71 unequal: No Solution
Exploring Operation: 80+136=216, Resulting Numbers: [216]
216,71 unequal: No Solution
Exploring Operation: 136-80=56, Resulting Numbers: [56]
56,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 71:[77, 139], Operations: ['62-3=59', '80+59=139']
Exploring Operation: 77*139=10703, Resulting Numbers: [10703]
10703,71 unequal: No Solution
Exploring Operation: 139-77=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 77+139=216, Resulting Numbers: [216]
216,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 71:[59, 3], Operations: ['62-3=59', '80-77=3']
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,71 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,71 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
4,
42,
12,
64
] | 98 | [
"4+42=46",
"64-12=52",
"46+52=98"
] | Current State: 98:[4, 42, 12, 64], Operations: []
Exploring Operation: 4+42=46, Resulting Numbers: [12, 64, 46]
Generated Node #2: [12, 64, 46] from Operation: 4+42=46
Current State: 98:[12, 64, 46], Operations: ['4+42=46']
Exploring Operation: 64-12=52, Resulting Numbers: [46, 52]
Generated Node #3: [46, 52] from Operation: 64-12=52
Current State: 98:[46, 52], Operations: ['4+42=46', '64-12=52']
Exploring Operation: 46+52=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[4, 42, 12, 64], Operations: []
Exploring Operation: 42+64=106, Resulting Numbers: [4, 12, 106]
Generated Node #0,0: 98:[4, 12, 106] Operation: 42+64=106
Exploring Operation: 64/4=16, Resulting Numbers: [42, 12, 16]
Generated Node #0,1: 98:[42, 12, 16] Operation: 64/4=16
Moving to Node #0,1
Current State: 98:[42, 12, 16], Operations: ['64/4=16']
Exploring Operation: 16-12=4, Resulting Numbers: [42, 4]
Generated Node #0,1,0: 98:[42, 4] Operation: 16-12=4
Exploring Operation: 42+12=54, Resulting Numbers: [16, 54]
Generated Node #0,1,1: 98:[16, 54] Operation: 42+12=54
Moving to Node #0,0
Current State: 98:[4, 12, 106], Operations: ['42+64=106']
Exploring Operation: 106-12=94, Resulting Numbers: [4, 94]
Generated Node #0,0,0: 98:[4, 94] Operation: 106-12=94
Exploring Operation: 106-4=102, Resulting Numbers: [12, 102]
Generated Node #0,0,1: 98:[12, 102] Operation: 106-4=102
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[4, 94], Operations: ['42+64=106', '106-12=94']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[4, 42, 12, 64], Operations: []
Exploring Operation: 42+64=106, Resulting Numbers: [4, 12, 106]
Generated Node #0,0: 98:[4, 12, 106] Operation: 42+64=106
Moving to Node #0,0
Current State: 98:[4, 12, 106], Operations: ['42+64=106']
Exploring Operation: 106-12=94, Resulting Numbers: [4, 94]
Generated Node #0,0,0: 98:[4, 94] Operation: 106-12=94
Moving to Node #0,0,0
Current State: 98:[4, 94], Operations: ['42+64=106', '106-12=94']
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
46,
26,
3,
7
] | 13 | [
"46-7=39",
"39/3=13",
"26-13=13"
] | Current State: 13:[46, 26, 3, 7], Operations: []
Exploring Operation: 46-7=39, Resulting Numbers: [26, 3, 39]
Generated Node #2: [26, 3, 39] from Operation: 46-7=39
Current State: 13:[26, 3, 39], Operations: ['46-7=39']
Exploring Operation: 39/3=13, Resulting Numbers: [26, 13]
Generated Node #3: [26, 13] from Operation: 39/3=13
Current State: 13:[26, 13], Operations: ['46-7=39', '39/3=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[46, 26, 3, 7], Operations: []
Exploring Operation: 46-3=43, Resulting Numbers: [26, 7, 43]
Generated Node #0,0: 13:[26, 7, 43] Operation: 46-3=43
Exploring Operation: 46-26=20, Resulting Numbers: [3, 7, 20]
Generated Node #0,1: 13:[3, 7, 20] Operation: 46-26=20
Moving to Node #0,1
Current State: 13:[3, 7, 20], Operations: ['46-26=20']
Exploring Operation: 3+7=10, Resulting Numbers: [20, 10]
Generated Node #0,1,0: 13:[20, 10] Operation: 3+7=10
Exploring Operation: 20-3=17, Resulting Numbers: [7, 17]
Generated Node #0,1,1: 13:[7, 17] Operation: 20-3=17
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[20, 10], Operations: ['46-26=20', '3+7=10']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[7, 17], Operations: ['46-26=20', '20-3=17']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,13 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: 13:[26, 7, 43], Operations: ['46-3=43']
Exploring Operation: 26-7=19, Resulting Numbers: [43, 19]
Generated Node #0,0,0: 13:[43, 19] Operation: 26-7=19
Exploring Operation: 43-26=17, Resulting Numbers: [7, 17]
Generated Node #0,0,1: 13:[7, 17] Operation: 43-26=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[7, 17], Operations: ['46-3=43', '43-26=17']
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[43, 19], Operations: ['46-3=43', '26-7=19']
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,13 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
8,
57,
47,
78
] | 91 | [
"57+47=104",
"104/8=13",
"78+13=91"
] | Current State: 91:[8, 57, 47, 78], Operations: []
Exploring Operation: 57+47=104, Resulting Numbers: [8, 78, 104]
Generated Node #2: [8, 78, 104] from Operation: 57+47=104
Current State: 91:[8, 78, 104], Operations: ['57+47=104']
Exploring Operation: 104/8=13, Resulting Numbers: [78, 13]
Generated Node #3: [78, 13] from Operation: 104/8=13
Current State: 91:[78, 13], Operations: ['57+47=104', '104/8=13']
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[8, 57, 47, 78], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [8, 78, 10]
Generated Node #0,0: 91:[8, 78, 10] Operation: 57-47=10
Moving to Node #0,0
Current State: 91:[8, 78, 10], Operations: ['57-47=10']
Exploring Operation: 78+10=88, Resulting Numbers: [8, 88]
Generated Node #0,0,0: 91:[8, 88] Operation: 78+10=88
Moving to Node #0,0,0
Current State: 91:[8, 88], Operations: ['57-47=10', '78+10=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,91 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
59,
18,
81,
52
] | 92 | [
"59-18=41",
"81+52=133",
"133-41=92"
] | Current State: 92:[59, 18, 81, 52], Operations: []
Exploring Operation: 59-18=41, Resulting Numbers: [81, 52, 41]
Generated Node #2: [81, 52, 41] from Operation: 59-18=41
Current State: 92:[81, 52, 41], Operations: ['59-18=41']
Exploring Operation: 81+52=133, Resulting Numbers: [41, 133]
Generated Node #3: [41, 133] from Operation: 81+52=133
Current State: 92:[41, 133], Operations: ['59-18=41', '81+52=133']
Exploring Operation: 133-41=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[59, 18, 81, 52], Operations: []
Exploring Operation: 81-59=22, Resulting Numbers: [18, 52, 22]
Generated Node #0,0: 92:[18, 52, 22] Operation: 81-59=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[18, 52, 22], Operations: ['81-59=22']
Exploring Operation: 22-18=4, Resulting Numbers: [52, 4]
Generated Node #0,0,0: 92:[52, 4] Operation: 22-18=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[52, 4], Operations: ['81-59=22', '22-18=4']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
58,
39,
35,
17
] | 79 | [
"58+39=97",
"35-17=18",
"97-18=79"
] | Current State: 79:[58, 39, 35, 17], Operations: []
Exploring Operation: 58+39=97, Resulting Numbers: [35, 17, 97]
Generated Node #2: [35, 17, 97] from Operation: 58+39=97
Current State: 79:[35, 17, 97], Operations: ['58+39=97']
Exploring Operation: 35-17=18, Resulting Numbers: [97, 18]
Generated Node #3: [97, 18] from Operation: 35-17=18
Current State: 79:[97, 18], Operations: ['58+39=97', '35-17=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[58, 39, 35, 17], Operations: []
Exploring Operation: 39+35=74, Resulting Numbers: [58, 17, 74]
Generated Node #0,0: 79:[58, 17, 74] Operation: 39+35=74
Exploring Operation: 58+17=75, Resulting Numbers: [39, 35, 75]
Generated Node #0,1: 79:[39, 35, 75] Operation: 58+17=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[58, 17, 74], Operations: ['39+35=74']
Exploring Operation: 17+74=91, Resulting Numbers: [58, 91]
Generated Node #0,0,0: 79:[58, 91] Operation: 17+74=91
Exploring Operation: 58+17=75, Resulting Numbers: [74, 75]
Generated Node #0,0,1: 79:[74, 75] Operation: 58+17=75
Moving to Node #0,0,1
Current State: 79:[74, 75], Operations: ['39+35=74', '58+17=75']
Exploring Operation: 74+75=149, Resulting Numbers: [149]
149,79 unequal: No Solution
Exploring Operation: 75-74=1, Resulting Numbers: [1]
1,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[58, 91], Operations: ['39+35=74', '17+74=91']
Exploring Operation: 58+91=149, Resulting Numbers: [149]
149,79 unequal: No Solution
Exploring Operation: 91-58=33, Resulting Numbers: [33]
33,79 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 #0,1
Current State: 79:[39, 35, 75], Operations: ['58+17=75']
Exploring Operation: 39+35=74, Resulting Numbers: [75, 74]
Generated Node #0,1,0: 79:[75, 74] Operation: 39+35=74
Exploring Operation: 35+75=110, Resulting Numbers: [39, 110]
Generated Node #0,1,1: 79:[39, 110] Operation: 35+75=110
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[75, 74], Operations: ['58+17=75', '39+35=74']
Exploring Operation: 75-74=1, Resulting Numbers: [1]
1,79 unequal: No Solution
Exploring Operation: 75+74=149, Resulting Numbers: [149]
149,79 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 #0,1,1
Current State: 79:[39, 110], Operations: ['58+17=75', '35+75=110']
Exploring Operation: 110-39=71, Resulting Numbers: [71]
71,79 unequal: No Solution
Exploring Operation: 39+110=149, Resulting Numbers: [149]
149,79 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_2 | sum_heuristic |
[
75,
5,
79,
2
] | 22 | [
"75+79=154",
"5+2=7",
"154/7=22"
] | Current State: 22:[75, 5, 79, 2], Operations: []
Exploring Operation: 75+79=154, Resulting Numbers: [5, 2, 154]
Generated Node #2: [5, 2, 154] from Operation: 75+79=154
Current State: 22:[5, 2, 154], Operations: ['75+79=154']
Exploring Operation: 5+2=7, Resulting Numbers: [154, 7]
Generated Node #3: [154, 7] from Operation: 5+2=7
Current State: 22:[154, 7], Operations: ['75+79=154', '5+2=7']
Exploring Operation: 154/7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[75, 5, 79, 2], Operations: []
Exploring Operation: 79-75=4, Resulting Numbers: [5, 2, 4]
Generated Node #0,0: 22:[5, 2, 4] Operation: 79-75=4
Exploring Operation: 75/5=15, Resulting Numbers: [79, 2, 15]
Generated Node #0,1: 22:[79, 2, 15] Operation: 75/5=15
Moving to Node #0,0
Current State: 22:[5, 2, 4], Operations: ['79-75=4']
Exploring Operation: 5-4=1, Resulting Numbers: [2, 1]
Generated Node #0,0,0: 22:[2, 1] Operation: 5-4=1
Exploring Operation: 5+4=9, Resulting Numbers: [2, 9]
Generated Node #0,0,1: 22:[2, 9] Operation: 5+4=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[2, 1], Operations: ['79-75=4', '5-4=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 2*1=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 #0,0,1
Current State: 22:[2, 9], Operations: ['79-75=4', '5+4=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,22 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: 22:[79, 2, 15], Operations: ['75/5=15']
Exploring Operation: 79-15=64, Resulting Numbers: [2, 64]
Generated Node #0,1,0: 22:[2, 64] Operation: 79-15=64
Exploring Operation: 79-2=77, Resulting Numbers: [15, 77]
Generated Node #0,1,1: 22:[15, 77] Operation: 79-2=77
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[2, 64], Operations: ['75/5=15', '79-15=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,22 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 #0,1,1
Current State: 22:[15, 77], Operations: ['75/5=15', '79-2=77']
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,22 unequal: No Solution
Exploring Operation: 15+77=92, Resulting Numbers: [92]
92,22 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 |
[
72,
18,
58,
36
] | 86 | [
"72/18=4",
"36*4=144",
"144-58=86"
] | Current State: 86:[72, 18, 58, 36], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [58, 36, 4]
Generated Node #2: [58, 36, 4] from Operation: 72/18=4
Current State: 86:[58, 36, 4], Operations: ['72/18=4']
Exploring Operation: 36*4=144, Resulting Numbers: [58, 144]
Generated Node #3: [58, 144] from Operation: 36*4=144
Current State: 86:[58, 144], Operations: ['72/18=4', '36*4=144']
Exploring Operation: 144-58=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[72, 18, 58, 36], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [58, 36, 4]
Generated Node #0,0: 86:[58, 36, 4] Operation: 72/18=4
Exploring Operation: 72+18=90, Resulting Numbers: [58, 36, 90]
Generated Node #0,1: 86:[58, 36, 90] Operation: 72+18=90
Exploring Operation: 58-18=40, Resulting Numbers: [72, 36, 40]
Generated Node #0,2: 86:[72, 36, 40] Operation: 58-18=40
Exploring Operation: 36/18=2, Resulting Numbers: [72, 58, 2]
Generated Node #0,3: 86:[72, 58, 2] Operation: 36/18=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[58, 36, 4], Operations: ['72/18=4']
Exploring Operation: 36+4=40, Resulting Numbers: [58, 40]
Generated Node #0,0,0: 86:[58, 40] Operation: 36+4=40
Exploring Operation: 58-4=54, Resulting Numbers: [36, 54]
Generated Node #0,0,1: 86:[36, 54] Operation: 58-4=54
Exploring Operation: 58-36=22, Resulting Numbers: [4, 22]
Generated Node #0,0,2: 86:[4, 22] Operation: 58-36=22
Exploring Operation: 58+36=94, Resulting Numbers: [4, 94]
Generated Node #0,0,3: 86:[4, 94] Operation: 58+36=94
Moving to Node #0,0,3
Current State: 86:[4, 94], Operations: ['72/18=4', '58+36=94']
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,86 unequal: No Solution
Exploring Operation: 4*94=376, Resulting Numbers: [376]
376,86 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[36, 54], Operations: ['72/18=4', '58-4=54']
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,86 unequal: No Solution
Exploring Operation: 36+54=90, Resulting Numbers: [90]
90,86 unequal: No Solution
Exploring Operation: 36*54=1944, Resulting Numbers: [1944]
1944,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[58, 40], Operations: ['72/18=4', '36+4=40']
Exploring Operation: 58+40=98, Resulting Numbers: [98]
98,86 unequal: No Solution
Exploring Operation: 58*40=2320, Resulting Numbers: [2320]
2320,86 unequal: No Solution
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[4, 22], Operations: ['72/18=4', '58-36=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,86 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[72, 36, 40], Operations: ['58-18=40']
Exploring Operation: 72-36=36, Resulting Numbers: [40, 36]
Generated Node #0,2,0: 86:[40, 36] Operation: 72-36=36
Exploring Operation: 72/36=2, Resulting Numbers: [40, 2]
Generated Node #0,2,1: 86:[40, 2] Operation: 72/36=2
Exploring Operation: 72-40=32, Resulting Numbers: [36, 32]
Generated Node #0,2,2: 86:[36, 32] Operation: 72-40=32
Exploring Operation: 40-36=4, Resulting Numbers: [72, 4]
Generated Node #0,2,3: 86:[72, 4] Operation: 40-36=4
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 86:[40, 2], Operations: ['58-18=40', '72/36=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,86 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,86 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,86 unequal: No Solution
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 86:[40, 36], Operations: ['58-18=40', '72-36=36']
Exploring Operation: 40*36=1440, Resulting Numbers: [1440]
1440,86 unequal: No Solution
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,86 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 86:[72, 4], Operations: ['58-18=40', '40-36=4']
Exploring Operation: 72*4=288, Resulting Numbers: [288]
288,86 unequal: No Solution
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,86 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,86 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 86:[36, 32], Operations: ['58-18=40', '72-40=32']
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,86 unequal: No Solution
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,86 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[58, 36, 90], Operations: ['72+18=90']
Exploring Operation: 90-36=54, Resulting Numbers: [58, 54]
Generated Node #0,1,0: 86:[58, 54] Operation: 90-36=54
Exploring Operation: 58+36=94, Resulting Numbers: [90, 94]
Generated Node #0,1,1: 86:[90, 94] Operation: 58+36=94
Exploring Operation: 90-58=32, Resulting Numbers: [36, 32]
Generated Node #0,1,2: 86:[36, 32] Operation: 90-58=32
Exploring Operation: 58-36=22, Resulting Numbers: [90, 22]
Generated Node #0,1,3: 86:[90, 22] Operation: 58-36=22
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[90, 94], Operations: ['72+18=90', '58+36=94']
Exploring Operation: 94-90=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Exploring Operation: 90+94=184, Resulting Numbers: [184]
184,86 unequal: No Solution
Exploring Operation: 90*94=8460, Resulting Numbers: [8460]
8460,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 86:[36, 32], Operations: ['72+18=90', '90-58=32']
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,86 unequal: No Solution
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 86:[90, 22], Operations: ['72+18=90', '58-36=22']
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,86 unequal: No Solution
Exploring Operation: 90+22=112, Resulting Numbers: [112]
112,86 unequal: No Solution
Exploring Operation: 90*22=1980, Resulting Numbers: [1980]
1980,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[58, 54], Operations: ['72+18=90', '90-36=54']
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Exploring Operation: 58+54=112, Resulting Numbers: [112]
112,86 unequal: No Solution
Exploring Operation: 58*54=3132, Resulting Numbers: [3132]
3132,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 86:[72, 58, 2], Operations: ['36/18=2']
Exploring Operation: 72-58=14, Resulting Numbers: [2, 14]
Generated Node #0,3,0: 86:[2, 14] Operation: 72-58=14
Exploring Operation: 72/2=36, Resulting Numbers: [58, 36]
Generated Node #0,3,1: 86:[58, 36] Operation: 72/2=36
Exploring Operation: 58-2=56, Resulting Numbers: [72, 56]
Generated Node #0,3,2: 86:[72, 56] Operation: 58-2=56
Exploring Operation: 72+2=74, Resulting Numbers: [58, 74]
Generated Node #0,3,3: 86:[58, 74] Operation: 72+2=74
Moving to Node #0,3,0
Current State: 86:[2, 14], Operations: ['36/18=2', '72-58=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[58, 36], Operations: ['36/18=2', '72/2=36']
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,86 unequal: No Solution
Exploring Operation: 58*36=2088, Resulting Numbers: [2088]
2088,86 unequal: No Solution
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[58, 74], Operations: ['36/18=2', '72+2=74']
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 58+74=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 58*74=4292, Resulting Numbers: [4292]
4292,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[72, 56], Operations: ['36/18=2', '58-2=56']
Exploring Operation: 72-56=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 72+56=128, Resulting Numbers: [128]
128,86 unequal: No Solution
Exploring Operation: 72*56=4032, Resulting Numbers: [4032]
4032,86 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 |
[
50,
14,
51,
27
] | 88 | [
"50+14=64",
"51-27=24",
"64+24=88"
] | Current State: 88:[50, 14, 51, 27], Operations: []
Exploring Operation: 50+14=64, Resulting Numbers: [51, 27, 64]
Generated Node #2: [51, 27, 64] from Operation: 50+14=64
Current State: 88:[51, 27, 64], Operations: ['50+14=64']
Exploring Operation: 51-27=24, Resulting Numbers: [64, 24]
Generated Node #3: [64, 24] from Operation: 51-27=24
Current State: 88:[64, 24], Operations: ['50+14=64', '51-27=24']
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[50, 14, 51, 27], Operations: []
Exploring Operation: 50-27=23, Resulting Numbers: [14, 51, 23]
Generated Node #0,0: 88:[14, 51, 23] Operation: 50-27=23
Exploring Operation: 51-50=1, Resulting Numbers: [14, 27, 1]
Generated Node #0,1: 88:[14, 27, 1] Operation: 51-50=1
Moving to Node #0,1
Current State: 88:[14, 27, 1], Operations: ['51-50=1']
Exploring Operation: 14+27=41, Resulting Numbers: [1, 41]
Generated Node #0,1,0: 88:[1, 41] Operation: 14+27=41
Exploring Operation: 27-14=13, Resulting Numbers: [1, 13]
Generated Node #0,1,1: 88:[1, 13] Operation: 27-14=13
Moving to Node #0,0
Current State: 88:[14, 51, 23], Operations: ['50-27=23']
Exploring Operation: 51-14=37, Resulting Numbers: [23, 37]
Generated Node #0,0,0: 88:[23, 37] Operation: 51-14=37
Exploring Operation: 23-14=9, Resulting Numbers: [51, 9]
Generated Node #0,0,1: 88:[51, 9] Operation: 23-14=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[23, 37], Operations: ['50-27=23', '51-14=37']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 23+37=60, Resulting Numbers: [60]
60,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 88:[51, 9], Operations: ['50-27=23', '23-14=9']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,88 unequal: No Solution
Exploring Operation: 51+9=60, Resulting Numbers: [60]
60,88 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: 88:[1, 13], Operations: ['51-50=1', '27-14=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,88 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[1, 41], Operations: ['51-50=1', '14+27=41']
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,88 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
6,
29,
5,
94
] | 87 | [
"6+29=35",
"35/5=7",
"94-7=87"
] | Current State: 87:[6, 29, 5, 94], Operations: []
Exploring Operation: 6+29=35, Resulting Numbers: [5, 94, 35]
Generated Node #2: [5, 94, 35] from Operation: 6+29=35
Current State: 87:[5, 94, 35], Operations: ['6+29=35']
Exploring Operation: 35/5=7, Resulting Numbers: [94, 7]
Generated Node #3: [94, 7] from Operation: 35/5=7
Current State: 87:[94, 7], Operations: ['6+29=35', '35/5=7']
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[6, 29, 5, 94], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [6, 29, 89]
Generated Node #0,0: 87:[6, 29, 89] Operation: 94-5=89
Exploring Operation: 6+29=35, Resulting Numbers: [5, 94, 35]
Generated Node #0,1: 87:[5, 94, 35] Operation: 6+29=35
Exploring Operation: 6*5=30, Resulting Numbers: [29, 94, 30]
Generated Node #0,2: 87:[29, 94, 30] Operation: 6*5=30
Exploring Operation: 6-5=1, Resulting Numbers: [29, 94, 1]
Generated Node #0,3: 87:[29, 94, 1] Operation: 6-5=1
Exploring Operation: 94-6=88, Resulting Numbers: [29, 5, 88]
Generated Node #0,4: 87:[29, 5, 88] Operation: 94-6=88
Moving to Node #0,4
Current State: 87:[29, 5, 88], Operations: ['94-6=88']
Exploring Operation: 29+5=34, Resulting Numbers: [88, 34]
Generated Node #0,4,0: 87:[88, 34] Operation: 29+5=34
Exploring Operation: 5+88=93, Resulting Numbers: [29, 93]
Generated Node #0,4,1: 87:[29, 93] Operation: 5+88=93
Exploring Operation: 29-5=24, Resulting Numbers: [88, 24]
Generated Node #0,4,2: 87:[88, 24] Operation: 29-5=24
Exploring Operation: 88-29=59, Resulting Numbers: [5, 59]
Generated Node #0,4,3: 87:[5, 59] Operation: 88-29=59
Exploring Operation: 88-5=83, Resulting Numbers: [29, 83]
Generated Node #0,4,4: 87:[29, 83] Operation: 88-5=83
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 87:[29, 83], Operations: ['94-6=88', '88-5=83']
Exploring Operation: 29+83=112, Resulting Numbers: [112]
112,87 unequal: No Solution
Exploring Operation: 29*83=2407, Resulting Numbers: [2407]
2407,87 unequal: No Solution
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 87:[88, 34], Operations: ['94-6=88', '29+5=34']
Exploring Operation: 88+34=122, Resulting Numbers: [122]
122,87 unequal: No Solution
Exploring Operation: 88*34=2992, Resulting Numbers: [2992]
2992,87 unequal: No Solution
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 87:[29, 93], Operations: ['94-6=88', '5+88=93']
Exploring Operation: 29*93=2697, Resulting Numbers: [2697]
2697,87 unequal: No Solution
Exploring Operation: 93-29=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 29+93=122, Resulting Numbers: [122]
122,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 87:[88, 24], Operations: ['94-6=88', '29-5=24']
Exploring Operation: 88*24=2112, Resulting Numbers: [2112]
2112,87 unequal: No Solution
Exploring Operation: 88+24=112, Resulting Numbers: [112]
112,87 unequal: No Solution
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 87:[5, 59], Operations: ['94-6=88', '88-29=59']
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,87 unequal: No Solution
Exploring Operation: 5*59=295, Resulting Numbers: [295]
295,87 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: 87:[6, 29, 89], Operations: ['94-5=89']
Exploring Operation: 6+89=95, Resulting Numbers: [29, 95]
Generated Node #0,0,0: 87:[29, 95] Operation: 6+89=95
Exploring Operation: 6+29=35, Resulting Numbers: [89, 35]
Generated Node #0,0,1: 87:[89, 35] Operation: 6+29=35
Exploring Operation: 89-6=83, Resulting Numbers: [29, 83]
Generated Node #0,0,2: 87:[29, 83] Operation: 89-6=83
Exploring Operation: 29-6=23, Resulting Numbers: [89, 23]
Generated Node #0,0,3: 87:[89, 23] Operation: 29-6=23
Exploring Operation: 89-29=60, Resulting Numbers: [6, 60]
Generated Node #0,0,4: 87:[6, 60] Operation: 89-29=60
Moving to Node #0,2
Current State: 87:[29, 94, 30], Operations: ['6*5=30']
Exploring Operation: 30-29=1, Resulting Numbers: [94, 1]
Generated Node #0,2,0: 87:[94, 1] Operation: 30-29=1
Exploring Operation: 94-30=64, Resulting Numbers: [29, 64]
Generated Node #0,2,1: 87:[29, 64] Operation: 94-30=64
Exploring Operation: 29+30=59, Resulting Numbers: [94, 59]
Generated Node #0,2,2: 87:[94, 59] Operation: 29+30=59
Exploring Operation: 29+94=123, Resulting Numbers: [30, 123]
Generated Node #0,2,3: 87:[30, 123] Operation: 29+94=123
Exploring Operation: 94-29=65, Resulting Numbers: [30, 65]
Generated Node #0,2,4: 87:[30, 65] Operation: 94-29=65
Moving to Node #0,3
Current State: 87:[29, 94, 1], Operations: ['6-5=1']
Exploring Operation: 94*1=94, Resulting Numbers: [29, 94]
Generated Node #0,3,0: 87:[29, 94] Operation: 94*1=94
Exploring Operation: 29*1=29, Resulting Numbers: [94, 29]
Generated Node #0,3,1: 87:[94, 29] Operation: 29*1=29
Exploring Operation: 94/1=94, Resulting Numbers: [29, 94]
Generated Node #0,3,2: 87:[29, 94] Operation: 94/1=94
Exploring Operation: 94-1=93, Resulting Numbers: [29, 93]
Generated Node #0,3,3: 87:[29, 93] Operation: 94-1=93
Exploring Operation: 29/1=29, Resulting Numbers: [94, 29]
Generated Node #0,3,4: 87:[94, 29] Operation: 29/1=29
Moving to Node #0,1
Current State: 87:[5, 94, 35], Operations: ['6+29=35']
Exploring Operation: 35-5=30, Resulting Numbers: [94, 30]
Generated Node #0,1,0: 87:[94, 30] Operation: 35-5=30
Exploring Operation: 5+35=40, Resulting Numbers: [94, 40]
Generated Node #0,1,1: 87:[94, 40] Operation: 5+35=40
Exploring Operation: 94-5=89, Resulting Numbers: [35, 89]
Generated Node #0,1,2: 87:[35, 89] Operation: 94-5=89
Exploring Operation: 5+94=99, Resulting Numbers: [35, 99]
Generated Node #0,1,3: 87:[35, 99] Operation: 5+94=99
Exploring Operation: 35/5=7, Resulting Numbers: [94, 7]
Generated Node #0,1,4: 87:[94, 7] Operation: 35/5=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[94, 30], Operations: ['6+29=35', '35-5=30']
Exploring Operation: 94+30=124, Resulting Numbers: [124]
124,87 unequal: No Solution
Exploring Operation: 94*30=2820, Resulting Numbers: [2820]
2820,87 unequal: No Solution
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[35, 89], Operations: ['6+29=35', '94-5=89']
Exploring Operation: 35+89=124, Resulting Numbers: [124]
124,87 unequal: No Solution
Exploring Operation: 35*89=3115, Resulting Numbers: [3115]
3115,87 unequal: No Solution
Exploring Operation: 89-35=54, Resulting Numbers: [54]
54,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 87:[94, 7], Operations: ['6+29=35', '35/5=7']
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[6, 29, 5, 94], Operations: []
Exploring Operation: 6+29=35, Resulting Numbers: [5, 94, 35]
Generated Node #0,1: 87:[5, 94, 35] Operation: 6+29=35
Moving to Node #0,1
Current State: 87:[5, 94, 35], Operations: ['6+29=35']
Exploring Operation: 35/5=7, Resulting Numbers: [94, 7]
Generated Node #0,1,4: 87:[94, 7] Operation: 35/5=7
Moving to Node #0,1,4
Current State: 87:[94, 7], Operations: ['6+29=35', '35/5=7']
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.951389 | hs_5 | mult_heuristic |
[
61,
26,
72,
82
] | 45 | [
"61-26=35",
"82-72=10",
"35+10=45"
] | Current State: 45:[61, 26, 72, 82], Operations: []
Exploring Operation: 61-26=35, Resulting Numbers: [72, 82, 35]
Generated Node #2: [72, 82, 35] from Operation: 61-26=35
Current State: 45:[72, 82, 35], Operations: ['61-26=35']
Exploring Operation: 82-72=10, Resulting Numbers: [35, 10]
Generated Node #3: [35, 10] from Operation: 82-72=10
Current State: 45:[35, 10], Operations: ['61-26=35', '82-72=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[61, 26, 72, 82], Operations: []
Exploring Operation: 82-61=21, Resulting Numbers: [26, 72, 21]
Generated Node #0,0: 45:[26, 72, 21] Operation: 82-61=21
Exploring Operation: 72-61=11, Resulting Numbers: [26, 82, 11]
Generated Node #0,1: 45:[26, 82, 11] Operation: 72-61=11
Exploring Operation: 82-72=10, Resulting Numbers: [61, 26, 10]
Generated Node #0,2: 45:[61, 26, 10] Operation: 82-72=10
Exploring Operation: 72-26=46, Resulting Numbers: [61, 82, 46]
Generated Node #0,3: 45:[61, 82, 46] Operation: 72-26=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[61, 26, 10], Operations: ['82-72=10']
Exploring Operation: 26+10=36, Resulting Numbers: [61, 36]
Generated Node #0,2,0: 45:[61, 36] Operation: 26+10=36
Exploring Operation: 61-26=35, Resulting Numbers: [10, 35]
Generated Node #0,2,1: 45:[10, 35] Operation: 61-26=35
Exploring Operation: 61-10=51, Resulting Numbers: [26, 51]
Generated Node #0,2,2: 45:[26, 51] Operation: 61-10=51
Exploring Operation: 26-10=16, Resulting Numbers: [61, 16]
Generated Node #0,2,3: 45:[61, 16] Operation: 26-10=16
Moving to Node #0,2,1
Current State: 45:[10, 35], Operations: ['82-72=10', '61-26=35']
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[61, 26, 72, 82], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [61, 26, 10]
Generated Node #0,2: 45:[61, 26, 10] Operation: 82-72=10
Moving to Node #0,2
Current State: 45:[61, 26, 10], Operations: ['82-72=10']
Exploring Operation: 61-26=35, Resulting Numbers: [10, 35]
Generated Node #0,2,1: 45:[10, 35] Operation: 61-26=35
Moving to Node #0,2,1
Current State: 45:[10, 35], Operations: ['82-72=10', '61-26=35']
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
40,
40,
47,
60
] | 27 | [
"40+40=80",
"47+60=107",
"107-80=27"
] | Current State: 27:[40, 40, 47, 60], Operations: []
Exploring Operation: 40+40=80, Resulting Numbers: [47, 60, 80]
Generated Node #2: [47, 60, 80] from Operation: 40+40=80
Current State: 27:[47, 60, 80], Operations: ['40+40=80']
Exploring Operation: 47+60=107, Resulting Numbers: [80, 107]
Generated Node #3: [80, 107] from Operation: 47+60=107
Current State: 27:[80, 107], Operations: ['40+40=80', '47+60=107']
Exploring Operation: 107-80=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[40, 40, 47, 60], Operations: []
Exploring Operation: 60-47=13, Resulting Numbers: [40, 40, 13]
Generated Node #0,0: 27:[40, 40, 13] Operation: 60-47=13
Exploring Operation: 60-40=20, Resulting Numbers: [40, 47, 20]
Generated Node #0,1: 27:[40, 47, 20] Operation: 60-40=20
Exploring Operation: 47-40=7, Resulting Numbers: [40, 60, 7]
Generated Node #0,2: 27:[40, 60, 7] Operation: 47-40=7
Exploring Operation: 60-40=20, Resulting Numbers: [40, 47, 20]
Generated Node #0,3: 27:[40, 47, 20] Operation: 60-40=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[40, 40, 13], Operations: ['60-47=13']
Exploring Operation: 40-40=0, Resulting Numbers: [13, 0]
Generated Node #0,0,0: 27:[13, 0] Operation: 40-40=0
Exploring Operation: 40-13=27, Resulting Numbers: [40, 27]
Generated Node #0,0,1: 27:[40, 27] Operation: 40-13=27
Exploring Operation: 40/40=1, Resulting Numbers: [13, 1]
Generated Node #0,0,2: 27:[13, 1] Operation: 40/40=1
Exploring Operation: 40-13=27, Resulting Numbers: [40, 27]
Generated Node #0,0,3: 27:[40, 27] Operation: 40-13=27
Moving to Node #0,0,2
Current State: 27:[13, 1], Operations: ['60-47=13', '40/40=1']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,27 unequal: No Solution
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[13, 0], Operations: ['60-47=13', '40-40=0']
Exploring Operation: 13-0=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 13+0=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 13*0=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[40, 27], Operations: ['60-47=13', '40-13=27']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,27 unequal: No Solution
Exploring Operation: 40*27=1080, Resulting Numbers: [1080]
1080,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[40, 27], Operations: ['60-47=13', '40-13=27']
Exploring Operation: 40*27=1080, Resulting Numbers: [1080]
1080,27 unequal: No Solution
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[40, 47, 20], Operations: ['60-40=20']
Exploring Operation: 40-20=20, Resulting Numbers: [47, 20]
Generated Node #0,1,0: 27:[47, 20] Operation: 40-20=20
Exploring Operation: 40/20=2, Resulting Numbers: [47, 2]
Generated Node #0,1,1: 27:[47, 2] Operation: 40/20=2
Exploring Operation: 47-40=7, Resulting Numbers: [20, 7]
Generated Node #0,1,2: 27:[20, 7] Operation: 47-40=7
Exploring Operation: 47-20=27, Resulting Numbers: [40, 27]
Generated Node #0,1,3: 27:[40, 27] Operation: 47-20=27
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 27:[20, 7], Operations: ['60-40=20', '47-40=7']
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,27 unequal: No Solution
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[40, 40, 47, 60], Operations: []
Exploring Operation: 60-40=20, Resulting Numbers: [40, 47, 20]
Generated Node #0,1: 27:[40, 47, 20] Operation: 60-40=20
Moving to Node #0,1
Current State: 27:[40, 47, 20], Operations: ['60-40=20']
Exploring Operation: 47-40=7, Resulting Numbers: [20, 7]
Generated Node #0,1,2: 27:[20, 7] Operation: 47-40=7
Moving to Node #0,1,2
Current State: 27:[20, 7], Operations: ['60-40=20', '47-40=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
56,
59,
85,
33
] | 96 | [
"59-56=3",
"33/3=11",
"85+11=96"
] | Current State: 96:[56, 59, 85, 33], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [85, 33, 3]
Generated Node #2: [85, 33, 3] from Operation: 59-56=3
Current State: 96:[85, 33, 3], Operations: ['59-56=3']
Exploring Operation: 33/3=11, Resulting Numbers: [85, 11]
Generated Node #3: [85, 11] from Operation: 33/3=11
Current State: 96:[85, 11], Operations: ['59-56=3', '33/3=11']
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[56, 59, 85, 33], Operations: []
Exploring Operation: 56-33=23, Resulting Numbers: [59, 85, 23]
Generated Node #0,0: 96:[59, 85, 23] Operation: 56-33=23
Exploring Operation: 59-56=3, Resulting Numbers: [85, 33, 3]
Generated Node #0,1: 96:[85, 33, 3] Operation: 59-56=3
Exploring Operation: 59-33=26, Resulting Numbers: [56, 85, 26]
Generated Node #0,2: 96:[56, 85, 26] Operation: 59-33=26
Exploring Operation: 85-56=29, Resulting Numbers: [59, 33, 29]
Generated Node #0,3: 96:[59, 33, 29] Operation: 85-56=29
Exploring Operation: 85-59=26, Resulting Numbers: [56, 33, 26]
Generated Node #0,4: 96:[56, 33, 26] Operation: 85-59=26
Start Sub Search at level 1: Moving to Node #0,4
Current State: 96:[56, 33, 26], Operations: ['85-59=26']
Exploring Operation: 56-33=23, Resulting Numbers: [26, 23]
Generated Node #0,4,0: 96:[26, 23] Operation: 56-33=23
Exploring Operation: 56-26=30, Resulting Numbers: [33, 30]
Generated Node #0,4,1: 96:[33, 30] Operation: 56-26=30
Exploring Operation: 56+33=89, Resulting Numbers: [26, 89]
Generated Node #0,4,2: 96:[26, 89] Operation: 56+33=89
Exploring Operation: 33-26=7, Resulting Numbers: [56, 7]
Generated Node #0,4,3: 96:[56, 7] Operation: 33-26=7
Exploring Operation: 56+26=82, Resulting Numbers: [33, 82]
Generated Node #0,4,4: 96:[33, 82] Operation: 56+26=82
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 96:[26, 23], Operations: ['85-59=26', '56-33=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 96:[33, 30], Operations: ['85-59=26', '56-26=30']
Exploring Operation: 33+30=63, Resulting Numbers: [63]
63,96 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 33*30=990, Resulting Numbers: [990]
990,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 96:[26, 89], Operations: ['85-59=26', '56+33=89']
Exploring Operation: 26*89=2314, Resulting Numbers: [2314]
2314,96 unequal: No Solution
Exploring Operation: 26+89=115, Resulting Numbers: [115]
115,96 unequal: No Solution
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 96:[56, 7], Operations: ['85-59=26', '33-26=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 56*7=392, Resulting Numbers: [392]
392,96 unequal: No Solution
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 96:[33, 82], Operations: ['85-59=26', '56+26=82']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 33+82=115, Resulting Numbers: [115]
115,96 unequal: No Solution
Exploring Operation: 33*82=2706, Resulting Numbers: [2706]
2706,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[85, 33, 3], Operations: ['59-56=3']
Exploring Operation: 85-33=52, Resulting Numbers: [3, 52]
Generated Node #0,1,0: 96:[3, 52] Operation: 85-33=52
Exploring Operation: 33*3=99, Resulting Numbers: [85, 99]
Generated Node #0,1,1: 96:[85, 99] Operation: 33*3=99
Exploring Operation: 85+3=88, Resulting Numbers: [33, 88]
Generated Node #0,1,2: 96:[33, 88] Operation: 85+3=88
Exploring Operation: 33/3=11, Resulting Numbers: [85, 11]
Generated Node #0,1,3: 96:[85, 11] Operation: 33/3=11
Exploring Operation: 33-3=30, Resulting Numbers: [85, 30]
Generated Node #0,1,4: 96:[85, 30] Operation: 33-3=30
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[3, 52], Operations: ['59-56=3', '85-33=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,96 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[33, 88], Operations: ['59-56=3', '85+3=88']
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Exploring Operation: 33+88=121, Resulting Numbers: [121]
121,96 unequal: No Solution
Exploring Operation: 33*88=2904, Resulting Numbers: [2904]
2904,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 96:[85, 11], Operations: ['59-56=3', '33/3=11']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 85*11=935, Resulting Numbers: [935]
935,96 unequal: No Solution
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[56, 59, 85, 33], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [85, 33, 3]
Generated Node #0,1: 96:[85, 33, 3] Operation: 59-56=3
Moving to Node #0,1
Current State: 96:[85, 33, 3], Operations: ['59-56=3']
Exploring Operation: 33/3=11, Resulting Numbers: [85, 11]
Generated Node #0,1,3: 96:[85, 11] Operation: 33/3=11
Moving to Node #0,1,3
Current State: 96:[85, 11], Operations: ['59-56=3', '33/3=11']
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.961806 | hs_5 | mult_heuristic |
[
75,
17,
4,
87
] | 65 | [
"87-75=12",
"4*12=48",
"17+48=65"
] | Current State: 65:[75, 17, 4, 87], Operations: []
Exploring Operation: 87-75=12, Resulting Numbers: [17, 4, 12]
Generated Node #2: [17, 4, 12] from Operation: 87-75=12
Current State: 65:[17, 4, 12], Operations: ['87-75=12']
Exploring Operation: 4*12=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 4*12=48
Current State: 65:[17, 48], Operations: ['87-75=12', '4*12=48']
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[75, 17, 4, 87], Operations: []
Exploring Operation: 87-75=12, Resulting Numbers: [17, 4, 12]
Generated Node #0,0: 65:[17, 4, 12] Operation: 87-75=12
Exploring Operation: 87-17=70, Resulting Numbers: [75, 4, 70]
Generated Node #0,1: 65:[75, 4, 70] Operation: 87-17=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[17, 4, 12], Operations: ['87-75=12']
Exploring Operation: 17-4=13, Resulting Numbers: [12, 13]
Generated Node #0,0,0: 65:[12, 13] Operation: 17-4=13
Exploring Operation: 17-12=5, Resulting Numbers: [4, 5]
Generated Node #0,0,1: 65:[4, 5] Operation: 17-12=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[12, 13], Operations: ['87-75=12', '17-4=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,65 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,65 unequal: No Solution
No 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: 65:[4, 5], Operations: ['87-75=12', '17-12=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[75, 4, 70], Operations: ['87-17=70']
Exploring Operation: 75-70=5, Resulting Numbers: [4, 5]
Generated Node #0,1,0: 65:[4, 5] Operation: 75-70=5
Exploring Operation: 75-4=71, Resulting Numbers: [70, 71]
Generated Node #0,1,1: 65:[70, 71] Operation: 75-4=71
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[4, 5], Operations: ['87-17=70', '75-70=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,65 unequal: No Solution
No 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: 65:[70, 71], Operations: ['87-17=70', '75-4=71']
Exploring Operation: 70+71=141, Resulting Numbers: [141]
141,65 unequal: No Solution
Exploring Operation: 71-70=1, Resulting Numbers: [1]
1,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
19,
47,
39,
43
] | 38 | [
"47+39=86",
"19*86=1634",
"1634/43=38"
] | Current State: 38:[19, 47, 39, 43], Operations: []
Exploring Operation: 47+39=86, Resulting Numbers: [19, 43, 86]
Generated Node #2: [19, 43, 86] from Operation: 47+39=86
Current State: 38:[19, 43, 86], Operations: ['47+39=86']
Exploring Operation: 19*86=1634, Resulting Numbers: [43, 1634]
Generated Node #3: [43, 1634] from Operation: 19*86=1634
Current State: 38:[43, 1634], Operations: ['47+39=86', '19*86=1634']
Exploring Operation: 1634/43=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[19, 47, 39, 43], Operations: []
Exploring Operation: 47-39=8, Resulting Numbers: [19, 43, 8]
Generated Node #0,0: 38:[19, 43, 8] Operation: 47-39=8
Exploring Operation: 43-39=4, Resulting Numbers: [19, 47, 4]
Generated Node #0,1: 38:[19, 47, 4] Operation: 43-39=4
Exploring Operation: 47-19=28, Resulting Numbers: [39, 43, 28]
Generated Node #0,2: 38:[39, 43, 28] Operation: 47-19=28
Exploring Operation: 47-43=4, Resulting Numbers: [19, 39, 4]
Generated Node #0,3: 38:[19, 39, 4] Operation: 47-43=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[19, 39, 4], Operations: ['47-43=4']
Exploring Operation: 39-4=35, Resulting Numbers: [19, 35]
Generated Node #0,3,0: 38:[19, 35] Operation: 39-4=35
Exploring Operation: 39-19=20, Resulting Numbers: [4, 20]
Generated Node #0,3,1: 38:[4, 20] Operation: 39-19=20
Exploring Operation: 19+4=23, Resulting Numbers: [39, 23]
Generated Node #0,3,2: 38:[39, 23] Operation: 19+4=23
Exploring Operation: 19-4=15, Resulting Numbers: [39, 15]
Generated Node #0,3,3: 38:[39, 15] Operation: 19-4=15
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 38:[19, 35], Operations: ['47-43=4', '39-4=35']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,38 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,38 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 #0,3,1
Current State: 38:[4, 20], Operations: ['47-43=4', '39-19=20']
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,38 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 #0,3,2
Current State: 38:[39, 23], Operations: ['47-43=4', '19+4=23']
Exploring Operation: 39*23=897, Resulting Numbers: [897]
897,38 unequal: No Solution
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,38 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,38 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 #0,3,3
Current State: 38:[39, 15], Operations: ['47-43=4', '19-4=15']
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,38 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,38 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 #0,0
Current State: 38:[19, 43, 8], Operations: ['47-39=8']
Exploring Operation: 19+8=27, Resulting Numbers: [43, 27]
Generated Node #0,0,0: 38:[43, 27] Operation: 19+8=27
Exploring Operation: 19-8=11, Resulting Numbers: [43, 11]
Generated Node #0,0,1: 38:[43, 11] Operation: 19-8=11
Exploring Operation: 43-8=35, Resulting Numbers: [19, 35]
Generated Node #0,0,2: 38:[19, 35] Operation: 43-8=35
Exploring Operation: 43-19=24, Resulting Numbers: [8, 24]
Generated Node #0,0,3: 38:[8, 24] Operation: 43-19=24
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 38:[19, 35], Operations: ['47-39=8', '43-8=35']
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,38 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,38 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:[8, 24], Operations: ['47-39=8', '43-19=24']
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,38 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,38 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:[43, 27], Operations: ['47-39=8', '19+8=27']
Exploring Operation: 43*27=1161, Resulting Numbers: [1161]
1161,38 unequal: No Solution
Exploring Operation: 43+27=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,38 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:[43, 11], Operations: ['47-39=8', '19-8=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,38 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:[19, 47, 4], Operations: ['43-39=4']
Exploring Operation: 19-4=15, Resulting Numbers: [47, 15]
Generated Node #0,1,0: 38:[47, 15] Operation: 19-4=15
Exploring Operation: 47-4=43, Resulting Numbers: [19, 43]
Generated Node #0,1,1: 38:[19, 43] Operation: 47-4=43
Exploring Operation: 19+4=23, Resulting Numbers: [47, 23]
Generated Node #0,1,2: 38:[47, 23] Operation: 19+4=23
Exploring Operation: 47-19=28, Resulting Numbers: [4, 28]
Generated Node #0,1,3: 38:[4, 28] Operation: 47-19=28
Moving to Node #0,1,1
Current State: 38:[19, 43], Operations: ['43-39=4', '47-4=43']
Exploring Operation: 19*43=817, Resulting Numbers: [817]
817,38 unequal: No Solution
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,38 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[4, 28], Operations: ['43-39=4', '47-19=28']
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,38 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[47, 23], Operations: ['43-39=4', '19+4=23']
Exploring Operation: 47*23=1081, Resulting Numbers: [1081]
1081,38 unequal: No Solution
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[47, 15], Operations: ['43-39=4', '19-4=15']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 47*15=705, Resulting Numbers: [705]
705,38 unequal: No Solution
Exploring Operation: 47+15=62, Resulting Numbers: [62]
62,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[39, 43, 28], Operations: ['47-19=28']
Exploring Operation: 43-28=15, Resulting Numbers: [39, 15]
Generated Node #0,2,0: 38:[39, 15] Operation: 43-28=15
Exploring Operation: 39+28=67, Resulting Numbers: [43, 67]
Generated Node #0,2,1: 38:[43, 67] Operation: 39+28=67
Exploring Operation: 39-28=11, Resulting Numbers: [43, 11]
Generated Node #0,2,2: 38:[43, 11] Operation: 39-28=11
Exploring Operation: 43-39=4, Resulting Numbers: [28, 4]
Generated Node #0,2,3: 38:[28, 4] Operation: 43-39=4
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[39, 15], Operations: ['47-19=28', '43-28=15']
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,38 unequal: No Solution
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,38 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 #0,2,3
Current State: 38:[28, 4], Operations: ['47-19=28', '43-39=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,38 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,38 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 #0,2,2
Current State: 38:[43, 11], Operations: ['47-19=28', '39-28=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,38 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 #0,2,1
Current State: 38:[43, 67], Operations: ['47-19=28', '39+28=67']
Exploring Operation: 43*67=2881, Resulting Numbers: [2881]
2881,38 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 43+67=110, Resulting Numbers: [110]
110,38 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
No solution found.
| 0 | hs_4 | mult_heuristic |
[
95,
45,
2,
61
] | 81 | [
"95+45=140",
"61-2=59",
"140-59=81"
] | Current State: 81:[95, 45, 2, 61], Operations: []
Exploring Operation: 95+45=140, Resulting Numbers: [2, 61, 140]
Generated Node #2: [2, 61, 140] from Operation: 95+45=140
Current State: 81:[2, 61, 140], Operations: ['95+45=140']
Exploring Operation: 61-2=59, Resulting Numbers: [140, 59]
Generated Node #3: [140, 59] from Operation: 61-2=59
Current State: 81:[140, 59], Operations: ['95+45=140', '61-2=59']
Exploring Operation: 140-59=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[95, 45, 2, 61], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [45, 2, 34]
Generated Node #0,0: 81:[45, 2, 34] Operation: 95-61=34
Exploring Operation: 61-45=16, Resulting Numbers: [95, 2, 16]
Generated Node #0,1: 81:[95, 2, 16] Operation: 61-45=16
Moving to Node #0,1
Current State: 81:[95, 2, 16], Operations: ['61-45=16']
Exploring Operation: 16/2=8, Resulting Numbers: [95, 8]
Generated Node #0,1,0: 81:[95, 8] Operation: 16/2=8
Exploring Operation: 95-16=79, Resulting Numbers: [2, 79]
Generated Node #0,1,1: 81:[2, 79] Operation: 95-16=79
Moving to Node #0,0
Current State: 81:[45, 2, 34], Operations: ['95-61=34']
Exploring Operation: 45-34=11, Resulting Numbers: [2, 11]
Generated Node #0,0,0: 81:[2, 11] Operation: 45-34=11
Exploring Operation: 45+34=79, Resulting Numbers: [2, 79]
Generated Node #0,0,1: 81:[2, 79] Operation: 45+34=79
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[2, 11], Operations: ['95-61=34', '45-34=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[2, 79], Operations: ['95-61=34', '45+34=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[95, 45, 2, 61], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [45, 2, 34]
Generated Node #0,0: 81:[45, 2, 34] Operation: 95-61=34
Moving to Node #0,0
Current State: 81:[45, 2, 34], Operations: ['95-61=34']
Exploring Operation: 45+34=79, Resulting Numbers: [2, 79]
Generated Node #0,0,1: 81:[2, 79] Operation: 45+34=79
Moving to Node #0,0,1
Current State: 81:[2, 79], Operations: ['95-61=34', '45+34=79']
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_2 | sum_heuristic |
[
8,
85,
37,
43
] | 83 | [
"85-8=77",
"43-37=6",
"77+6=83"
] | Current State: 83:[8, 85, 37, 43], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [37, 43, 77]
Generated Node #2: [37, 43, 77] from Operation: 85-8=77
Current State: 83:[37, 43, 77], Operations: ['85-8=77']
Exploring Operation: 43-37=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 43-37=6
Current State: 83:[77, 6], Operations: ['85-8=77', '43-37=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[8, 85, 37, 43], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [37, 43, 77]
Generated Node #0,0: 83:[37, 43, 77] Operation: 85-8=77
Exploring Operation: 8+43=51, Resulting Numbers: [85, 37, 51]
Generated Node #0,1: 83:[85, 37, 51] Operation: 8+43=51
Exploring Operation: 37+43=80, Resulting Numbers: [8, 85, 80]
Generated Node #0,2: 83:[8, 85, 80] Operation: 37+43=80
Exploring Operation: 8+37=45, Resulting Numbers: [85, 43, 45]
Generated Node #0,3: 83:[85, 43, 45] Operation: 8+37=45
Exploring Operation: 8+85=93, Resulting Numbers: [37, 43, 93]
Generated Node #0,4: 83:[37, 43, 93] Operation: 8+85=93
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[85, 37, 51], Operations: ['8+43=51']
Exploring Operation: 85-51=34, Resulting Numbers: [37, 34]
Generated Node #0,1,0: 83:[37, 34] Operation: 85-51=34
Exploring Operation: 85+37=122, Resulting Numbers: [51, 122]
Generated Node #0,1,1: 83:[51, 122] Operation: 85+37=122
Exploring Operation: 37+51=88, Resulting Numbers: [85, 88]
Generated Node #0,1,2: 83:[85, 88] Operation: 37+51=88
Exploring Operation: 51-37=14, Resulting Numbers: [85, 14]
Generated Node #0,1,3: 83:[85, 14] Operation: 51-37=14
Exploring Operation: 85-37=48, Resulting Numbers: [51, 48]
Generated Node #0,1,4: 83:[51, 48] Operation: 85-37=48
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[85, 88], Operations: ['8+43=51', '37+51=88']
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 85+88=173, Resulting Numbers: [173]
173,83 unequal: No Solution
Exploring Operation: 85*88=7480, Resulting Numbers: [7480]
7480,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 83:[51, 48], Operations: ['8+43=51', '85-37=48']
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 51*48=2448, Resulting Numbers: [2448]
2448,83 unequal: No Solution
Exploring Operation: 51+48=99, Resulting Numbers: [99]
99,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[51, 122], Operations: ['8+43=51', '85+37=122']
Exploring Operation: 51+122=173, Resulting Numbers: [173]
173,83 unequal: No Solution
Exploring Operation: 122-51=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 51*122=6222, Resulting Numbers: [6222]
6222,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[85, 14], Operations: ['8+43=51', '51-37=14']
Exploring Operation: 85*14=1190, Resulting Numbers: [1190]
1190,83 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[37, 34], Operations: ['8+43=51', '85-51=34']
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 37*34=1258, Resulting Numbers: [1258]
1258,83 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: 83:[8, 85, 80], Operations: ['37+43=80']
Exploring Operation: 85-8=77, Resulting Numbers: [80, 77]
Generated Node #0,2,0: 83:[80, 77] Operation: 85-8=77
Exploring Operation: 80-8=72, Resulting Numbers: [85, 72]
Generated Node #0,2,1: 83:[85, 72] Operation: 80-8=72
Exploring Operation: 80/8=10, Resulting Numbers: [85, 10]
Generated Node #0,2,2: 83:[85, 10] Operation: 80/8=10
Exploring Operation: 8+80=88, Resulting Numbers: [85, 88]
Generated Node #0,2,3: 83:[85, 88] Operation: 8+80=88
Exploring Operation: 8+85=93, Resulting Numbers: [80, 93]
Generated Node #0,2,4: 83:[80, 93] Operation: 8+85=93
Moving to Node #0,2,3
Current State: 83:[85, 88], Operations: ['37+43=80', '8+80=88']
Exploring Operation: 85+88=173, Resulting Numbers: [173]
173,83 unequal: No Solution
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 85*88=7480, Resulting Numbers: [7480]
7480,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[80, 77], Operations: ['37+43=80', '85-8=77']
Exploring Operation: 80*77=6160, Resulting Numbers: [6160]
6160,83 unequal: No Solution
Exploring Operation: 80-77=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 80+77=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[85, 72], Operations: ['37+43=80', '80-8=72']
Exploring Operation: 85-72=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 85+72=157, Resulting Numbers: [157]
157,83 unequal: No Solution
Exploring Operation: 85*72=6120, Resulting Numbers: [6120]
6120,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[80, 93], Operations: ['37+43=80', '8+85=93']
Exploring Operation: 93-80=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 80+93=173, Resulting Numbers: [173]
173,83 unequal: No Solution
Exploring Operation: 80*93=7440, Resulting Numbers: [7440]
7440,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[85, 10], Operations: ['37+43=80', '80/8=10']
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,83 unequal: No Solution
Exploring Operation: 85*10=850, Resulting Numbers: [850]
850,83 unequal: No Solution
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[85, 43, 45], Operations: ['8+37=45']
Exploring Operation: 85-45=40, Resulting Numbers: [43, 40]
Generated Node #0,3,0: 83:[43, 40] Operation: 85-45=40
Exploring Operation: 85-43=42, Resulting Numbers: [45, 42]
Generated Node #0,3,1: 83:[45, 42] Operation: 85-43=42
Exploring Operation: 85+43=128, Resulting Numbers: [45, 128]
Generated Node #0,3,2: 83:[45, 128] Operation: 85+43=128
Exploring Operation: 43+45=88, Resulting Numbers: [85, 88]
Generated Node #0,3,3: 83:[85, 88] Operation: 43+45=88
Exploring Operation: 45-43=2, Resulting Numbers: [85, 2]
Generated Node #0,3,4: 83:[85, 2] Operation: 45-43=2
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[85, 88], Operations: ['8+37=45', '43+45=88']
Exploring Operation: 85+88=173, Resulting Numbers: [173]
173,83 unequal: No Solution
Exploring Operation: 85*88=7480, Resulting Numbers: [7480]
7480,83 unequal: No Solution
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 83:[45, 42], Operations: ['8+37=45', '85-43=42']
Exploring Operation: 45+42=87, Resulting Numbers: [87]
87,83 unequal: No Solution
Exploring Operation: 45*42=1890, Resulting Numbers: [1890]
1890,83 unequal: No Solution
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[43, 40], Operations: ['8+37=45', '85-45=40']
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 43*40=1720, Resulting Numbers: [1720]
1720,83 unequal: No Solution
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[8, 85, 37, 43], Operations: []
Exploring Operation: 8+37=45, Resulting Numbers: [85, 43, 45]
Generated Node #0,3: 83:[85, 43, 45] Operation: 8+37=45
Moving to Node #0,3
Current State: 83:[85, 43, 45], Operations: ['8+37=45']
Exploring Operation: 85-45=40, Resulting Numbers: [43, 40]
Generated Node #0,3,0: 83:[43, 40] Operation: 85-45=40
Moving to Node #0,3,0
Current State: 83:[43, 40], Operations: ['8+37=45', '85-45=40']
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.945313 | hs_5 | mult_heuristic |
[
81,
79,
5,
35
] | 38 | [
"81-79=2",
"5+35=40",
"40-2=38"
] | Current State: 38:[81, 79, 5, 35], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [5, 35, 2]
Generated Node #2: [5, 35, 2] from Operation: 81-79=2
Current State: 38:[5, 35, 2], Operations: ['81-79=2']
Exploring Operation: 5+35=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 5+35=40
Current State: 38:[2, 40], Operations: ['81-79=2', '5+35=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[81, 79, 5, 35], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [5, 35, 2]
Generated Node #0,0: 38:[5, 35, 2] Operation: 81-79=2
Moving to Node #0,0
Current State: 38:[5, 35, 2], Operations: ['81-79=2']
Exploring Operation: 5+35=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 38:[2, 40] Operation: 5+35=40
Moving to Node #0,0,0
Current State: 38:[2, 40], Operations: ['81-79=2', '5+35=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[81, 79, 5, 35], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [5, 35, 2]
Generated Node #0,0: 38:[5, 35, 2] Operation: 81-79=2
Moving to Node #0,0
Current State: 38:[5, 35, 2], Operations: ['81-79=2']
Exploring Operation: 5+35=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 38:[2, 40] Operation: 5+35=40
Moving to Node #0,0,0
Current State: 38:[2, 40], Operations: ['81-79=2', '5+35=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
32,
45,
61,
43
] | 59 | [
"32+45=77",
"61-43=18",
"77-18=59"
] | Current State: 59:[32, 45, 61, 43], Operations: []
Exploring Operation: 32+45=77, Resulting Numbers: [61, 43, 77]
Generated Node #2: [61, 43, 77] from Operation: 32+45=77
Current State: 59:[61, 43, 77], Operations: ['32+45=77']
Exploring Operation: 61-43=18, Resulting Numbers: [77, 18]
Generated Node #3: [77, 18] from Operation: 61-43=18
Current State: 59:[77, 18], Operations: ['32+45=77', '61-43=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[32, 45, 61, 43], Operations: []
Exploring Operation: 32+43=75, Resulting Numbers: [45, 61, 75]
Generated Node #0,0: 59:[45, 61, 75] Operation: 32+43=75
Exploring Operation: 32+45=77, Resulting Numbers: [61, 43, 77]
Generated Node #0,1: 59:[61, 43, 77] Operation: 32+45=77
Moving to Node #0,0
Current State: 59:[45, 61, 75], Operations: ['32+43=75']
Exploring Operation: 75-45=30, Resulting Numbers: [61, 30]
Generated Node #0,0,0: 59:[61, 30] Operation: 75-45=30
Exploring Operation: 61-45=16, Resulting Numbers: [75, 16]
Generated Node #0,0,1: 59:[75, 16] Operation: 61-45=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[61, 30], Operations: ['32+43=75', '75-45=30']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 61+30=91, Resulting Numbers: [91]
91,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[75, 16], Operations: ['32+43=75', '61-45=16']
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[32, 45, 61, 43], Operations: []
Exploring Operation: 32+43=75, Resulting Numbers: [45, 61, 75]
Generated Node #0,0: 59:[45, 61, 75] Operation: 32+43=75
Moving to Node #0,0
Current State: 59:[45, 61, 75], Operations: ['32+43=75']
Exploring Operation: 61-45=16, Resulting Numbers: [75, 16]
Generated Node #0,0,1: 59:[75, 16] Operation: 61-45=16
Moving to Node #0,0,1
Current State: 59:[75, 16], Operations: ['32+43=75', '61-45=16']
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
2,
70,
82,
48
] | 100 | [
"70+82=152",
"48+152=200",
"200/2=100"
] | Current State: 100:[2, 70, 82, 48], Operations: []
Exploring Operation: 70+82=152, Resulting Numbers: [2, 48, 152]
Generated Node #2: [2, 48, 152] from Operation: 70+82=152
Current State: 100:[2, 48, 152], Operations: ['70+82=152']
Exploring Operation: 48+152=200, Resulting Numbers: [2, 200]
Generated Node #3: [2, 200] from Operation: 48+152=200
Current State: 100:[2, 200], Operations: ['70+82=152', '48+152=200']
Exploring Operation: 200/2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[2, 70, 82, 48], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [2, 48, 12]
Generated Node #0,0: 100:[2, 48, 12] Operation: 82-70=12
Exploring Operation: 70-48=22, Resulting Numbers: [2, 82, 22]
Generated Node #0,1: 100:[2, 82, 22] Operation: 70-48=22
Exploring Operation: 82-48=34, Resulting Numbers: [2, 70, 34]
Generated Node #0,2: 100:[2, 70, 34] Operation: 82-48=34
Exploring Operation: 70/2=35, Resulting Numbers: [82, 48, 35]
Generated Node #0,3: 100:[82, 48, 35] Operation: 70/2=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[2, 48, 12], Operations: ['82-70=12']
Exploring Operation: 2+48=50, Resulting Numbers: [12, 50]
Generated Node #0,0,0: 100:[12, 50] Operation: 2+48=50
Exploring Operation: 48/2=24, Resulting Numbers: [12, 24]
Generated Node #0,0,1: 100:[12, 24] Operation: 48/2=24
Exploring Operation: 48/12=4, Resulting Numbers: [2, 4]
Generated Node #0,0,2: 100:[2, 4] Operation: 48/12=4
Exploring Operation: 12-2=10, Resulting Numbers: [48, 10]
Generated Node #0,0,3: 100:[48, 10] Operation: 12-2=10
Moving to Node #0,0,2
Current State: 100:[2, 4], Operations: ['82-70=12', '48/12=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[48, 10], Operations: ['82-70=12', '12-2=10']
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,100 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[12, 50], Operations: ['82-70=12', '2+48=50']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 12+50=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 12*50=600, Resulting Numbers: [600]
600,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[12, 24], Operations: ['82-70=12', '48/2=24']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,100 unequal: No Solution
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 12*24=288, Resulting Numbers: [288]
288,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[2, 82, 22], Operations: ['70-48=22']
Exploring Operation: 82+22=104, Resulting Numbers: [2, 104]
Generated Node #0,1,0: 100:[2, 104] Operation: 82+22=104
Exploring Operation: 82-22=60, Resulting Numbers: [2, 60]
Generated Node #0,1,1: 100:[2, 60] Operation: 82-22=60
Exploring Operation: 2+82=84, Resulting Numbers: [22, 84]
Generated Node #0,1,2: 100:[22, 84] Operation: 2+82=84
Exploring Operation: 82/2=41, Resulting Numbers: [22, 41]
Generated Node #0,1,3: 100:[22, 41] Operation: 82/2=41
Moving to Node #0,1,0
Current State: 100:[2, 104], Operations: ['70-48=22', '82+22=104']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 2+104=106, Resulting Numbers: [106]
106,100 unequal: No Solution
Exploring Operation: 2*104=208, Resulting Numbers: [208]
208,100 unequal: No Solution
Exploring Operation: 104-2=102, Resulting Numbers: [102]
102,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[2, 60], Operations: ['70-48=22', '82-22=60']
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 2*60=120, Resulting Numbers: [120]
120,100 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[22, 41], Operations: ['70-48=22', '82/2=41']
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,100 unequal: No Solution
Exploring Operation: 22*41=902, Resulting Numbers: [902]
902,100 unequal: No Solution
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[22, 84], Operations: ['70-48=22', '2+82=84']
Exploring Operation: 22*84=1848, Resulting Numbers: [1848]
1848,100 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 22+84=106, Resulting Numbers: [106]
106,100 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 #0,2
Current State: 100:[2, 70, 34], Operations: ['82-48=34']
Exploring Operation: 70-34=36, Resulting Numbers: [2, 36]
Generated Node #0,2,0: 100:[2, 36] Operation: 70-34=36
Exploring Operation: 34/2=17, Resulting Numbers: [70, 17]
Generated Node #0,2,1: 100:[70, 17] Operation: 34/2=17
Exploring Operation: 70+34=104, Resulting Numbers: [2, 104]
Generated Node #0,2,2: 100:[2, 104] Operation: 70+34=104
Exploring Operation: 70/2=35, Resulting Numbers: [34, 35]
Generated Node #0,2,3: 100:[34, 35] Operation: 70/2=35
Moving to Node #0,2,2
Current State: 100:[2, 104], Operations: ['82-48=34', '70+34=104']
Exploring Operation: 104-2=102, Resulting Numbers: [102]
102,100 unequal: No Solution
Exploring Operation: 2+104=106, Resulting Numbers: [106]
106,100 unequal: No Solution
Exploring Operation: 2*104=208, Resulting Numbers: [208]
208,100 unequal: No Solution
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[2, 36], Operations: ['82-48=34', '70-34=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,100 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,100 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[34, 35], Operations: ['82-48=34', '70/2=35']
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,100 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[70, 17], Operations: ['82-48=34', '34/2=17']
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,100 unequal: No Solution
Exploring Operation: 70+17=87, Resulting Numbers: [87]
87,100 unequal: No Solution
Exploring Operation: 70*17=1190, Resulting Numbers: [1190]
1190,100 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 #0,3
Current State: 100:[82, 48, 35], Operations: ['70/2=35']
Exploring Operation: 82-48=34, Resulting Numbers: [35, 34]
Generated Node #0,3,0: 100:[35, 34] Operation: 82-48=34
Exploring Operation: 48-35=13, Resulting Numbers: [82, 13]
Generated Node #0,3,1: 100:[82, 13] Operation: 48-35=13
Exploring Operation: 82+35=117, Resulting Numbers: [48, 117]
Generated Node #0,3,2: 100:[48, 117] Operation: 82+35=117
Exploring Operation: 82-35=47, Resulting Numbers: [48, 47]
Generated Node #0,3,3: 100:[48, 47] Operation: 82-35=47
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 100:[48, 47], Operations: ['70/2=35', '82-35=47']
Exploring Operation: 48*47=2256, Resulting Numbers: [2256]
2256,100 unequal: No Solution
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,100 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 100:[35, 34], Operations: ['70/2=35', '82-48=34']
Exploring Operation: 35+34=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 35*34=1190, Resulting Numbers: [1190]
1190,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 100:[48, 117], Operations: ['70/2=35', '82+35=117']
Exploring Operation: 48+117=165, Resulting Numbers: [165]
165,100 unequal: No Solution
Exploring Operation: 117-48=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 48*117=5616, Resulting Numbers: [5616]
5616,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 100:[82, 13], Operations: ['70/2=35', '48-35=13']
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 82+13=95, Resulting Numbers: [95]
95,100 unequal: No Solution
Exploring Operation: 82*13=1066, Resulting Numbers: [1066]
1066,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
60,
30,
22,
44
] | 64 | [
"60/30=2",
"22+44=66",
"66-2=64"
] | Current State: 64:[60, 30, 22, 44], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [22, 44, 2]
Generated Node #2: [22, 44, 2] from Operation: 60/30=2
Current State: 64:[22, 44, 2], Operations: ['60/30=2']
Exploring Operation: 22+44=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 22+44=66
Current State: 64:[2, 66], Operations: ['60/30=2', '22+44=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[60, 30, 22, 44], Operations: []
Exploring Operation: 22+44=66, Resulting Numbers: [60, 30, 66]
Generated Node #0,0: 64:[60, 30, 66] Operation: 22+44=66
Exploring Operation: 60-44=16, Resulting Numbers: [30, 22, 16]
Generated Node #0,1: 64:[30, 22, 16] Operation: 60-44=16
Exploring Operation: 44/22=2, Resulting Numbers: [60, 30, 2]
Generated Node #0,2: 64:[60, 30, 2] Operation: 44/22=2
Exploring Operation: 44-30=14, Resulting Numbers: [60, 22, 14]
Generated Node #0,3: 64:[60, 22, 14] Operation: 44-30=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[60, 30, 2], Operations: ['44/22=2']
Exploring Operation: 60/30=2, Resulting Numbers: [2, 2]
Generated Node #0,2,0: 64:[2, 2] Operation: 60/30=2
Exploring Operation: 60-30=30, Resulting Numbers: [2, 30]
Generated Node #0,2,1: 64:[2, 30] Operation: 60-30=30
Exploring Operation: 60+2=62, Resulting Numbers: [30, 62]
Generated Node #0,2,2: 64:[30, 62] Operation: 60+2=62
Exploring Operation: 60/2=30, Resulting Numbers: [30, 30]
Generated Node #0,2,3: 64:[30, 30] Operation: 60/2=30
Moving to Node #0,2,0
Current State: 64:[2, 2], Operations: ['44/22=2', '60/30=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[2, 30], Operations: ['44/22=2', '60-30=30']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[30, 30], Operations: ['44/22=2', '60/2=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[30, 62], Operations: ['44/22=2', '60+2=62']
Exploring Operation: 30+62=92, Resulting Numbers: [92]
92,64 unequal: No Solution
Exploring Operation: 30*62=1860, Resulting Numbers: [1860]
1860,64 unequal: No Solution
Exploring Operation: 62-30=32, Resulting Numbers: [32]
32,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[60, 30, 66], Operations: ['22+44=66']
Exploring Operation: 60/30=2, Resulting Numbers: [66, 2]
Generated Node #0,0,0: 64:[66, 2] Operation: 60/30=2
Exploring Operation: 60-30=30, Resulting Numbers: [66, 30]
Generated Node #0,0,1: 64:[66, 30] Operation: 60-30=30
Exploring Operation: 66-60=6, Resulting Numbers: [30, 6]
Generated Node #0,0,2: 64:[30, 6] Operation: 66-60=6
Exploring Operation: 66-30=36, Resulting Numbers: [60, 36]
Generated Node #0,0,3: 64:[60, 36] Operation: 66-30=36
Moving to Node #0,0,0
Current State: 64:[66, 2], Operations: ['22+44=66', '60/30=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,64 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[60, 30, 22, 44], Operations: []
Exploring Operation: 22+44=66, Resulting Numbers: [60, 30, 66]
Generated Node #0,0: 64:[60, 30, 66] Operation: 22+44=66
Moving to Node #0,0
Current State: 64:[60, 30, 66], Operations: ['22+44=66']
Exploring Operation: 60/30=2, Resulting Numbers: [66, 2]
Generated Node #0,0,0: 64:[66, 2] Operation: 60/30=2
Moving to Node #0,0,0
Current State: 64:[66, 2], Operations: ['22+44=66', '60/30=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | mult_heuristic |
[
5,
58,
76,
86
] | 56 | [
"86-76=10",
"10/5=2",
"58-2=56"
] | Current State: 56:[5, 58, 76, 86], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [5, 58, 10]
Generated Node #2: [5, 58, 10] from Operation: 86-76=10
Current State: 56:[5, 58, 10], Operations: ['86-76=10']
Exploring Operation: 10/5=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 10/5=2
Current State: 56:[58, 2], Operations: ['86-76=10', '10/5=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[5, 58, 76, 86], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [5, 58, 10]
Generated Node #0,0: 56:[5, 58, 10] Operation: 86-76=10
Exploring Operation: 86-58=28, Resulting Numbers: [5, 76, 28]
Generated Node #0,1: 56:[5, 76, 28] Operation: 86-58=28
Exploring Operation: 76-58=18, Resulting Numbers: [5, 86, 18]
Generated Node #0,2: 56:[5, 86, 18] Operation: 76-58=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[5, 58, 10], Operations: ['86-76=10']
Exploring Operation: 5+10=15, Resulting Numbers: [58, 15]
Generated Node #0,0,0: 56:[58, 15] Operation: 5+10=15
Exploring Operation: 10/5=2, Resulting Numbers: [58, 2]
Generated Node #0,0,1: 56:[58, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [58, 5]
Generated Node #0,0,2: 56:[58, 5] Operation: 10-5=5
Moving to Node #0,0,1
Current State: 56:[58, 2], Operations: ['86-76=10', '10/5=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[5, 58, 76, 86], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [5, 58, 10]
Generated Node #0,0: 56:[5, 58, 10] Operation: 86-76=10
Moving to Node #0,0
Current State: 56:[5, 58, 10], Operations: ['86-76=10']
Exploring Operation: 10/5=2, Resulting Numbers: [58, 2]
Generated Node #0,0,1: 56:[58, 2] Operation: 10/5=2
Moving to Node #0,0,1
Current State: 56:[58, 2], Operations: ['86-76=10', '10/5=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
60,
40,
46,
74
] | 65 | [
"60*74=4440",
"4440/40=111",
"111-46=65"
] | Current State: 65:[60, 40, 46, 74], Operations: []
Exploring Operation: 60*74=4440, Resulting Numbers: [40, 46, 4440]
Generated Node #2: [40, 46, 4440] from Operation: 60*74=4440
Current State: 65:[40, 46, 4440], Operations: ['60*74=4440']
Exploring Operation: 4440/40=111, Resulting Numbers: [46, 111]
Generated Node #3: [46, 111] from Operation: 4440/40=111
Current State: 65:[46, 111], Operations: ['60*74=4440', '4440/40=111']
Exploring Operation: 111-46=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[60, 40, 46, 74], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [40, 74, 14]
Generated Node #0,0: 65:[40, 74, 14] Operation: 60-46=14
Exploring Operation: 60-40=20, Resulting Numbers: [46, 74, 20]
Generated Node #0,1: 65:[46, 74, 20] Operation: 60-40=20
Exploring Operation: 46-40=6, Resulting Numbers: [60, 74, 6]
Generated Node #0,2: 65:[60, 74, 6] Operation: 46-40=6
Moving to Node #0,2
Current State: 65:[60, 74, 6], Operations: ['46-40=6']
Exploring Operation: 60+6=66, Resulting Numbers: [74, 66]
Generated Node #0,2,0: 65:[74, 66] Operation: 60+6=66
Exploring Operation: 74-60=14, Resulting Numbers: [6, 14]
Generated Node #0,2,1: 65:[6, 14] Operation: 74-60=14
Exploring Operation: 74-6=68, Resulting Numbers: [60, 68]
Generated Node #0,2,2: 65:[60, 68] Operation: 74-6=68
Moving to Node #0,0
Current State: 65:[40, 74, 14], Operations: ['60-46=14']
Exploring Operation: 40+14=54, Resulting Numbers: [74, 54]
Generated Node #0,0,0: 65:[74, 54] Operation: 40+14=54
Exploring Operation: 74-40=34, Resulting Numbers: [14, 34]
Generated Node #0,0,1: 65:[14, 34] Operation: 74-40=34
Exploring Operation: 40-14=26, Resulting Numbers: [74, 26]
Generated Node #0,0,2: 65:[74, 26] Operation: 40-14=26
Moving to Node #0,1
Current State: 65:[46, 74, 20], Operations: ['60-40=20']
Exploring Operation: 46+20=66, Resulting Numbers: [74, 66]
Generated Node #0,1,0: 65:[74, 66] Operation: 46+20=66
Exploring Operation: 46-20=26, Resulting Numbers: [74, 26]
Generated Node #0,1,1: 65:[74, 26] Operation: 46-20=26
Exploring Operation: 74-46=28, Resulting Numbers: [20, 28]
Generated Node #0,1,2: 65:[20, 28] Operation: 74-46=28
Moving to Node #0,2,1
Current State: 65:[6, 14], Operations: ['46-40=6', '74-60=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,65 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[60, 68], Operations: ['46-40=6', '74-6=68']
Exploring Operation: 60*68=4080, Resulting Numbers: [4080]
4080,65 unequal: No Solution
Exploring Operation: 60+68=128, Resulting Numbers: [128]
128,65 unequal: No Solution
Exploring Operation: 68-60=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[74, 66], Operations: ['46-40=6', '60+6=66']
Exploring Operation: 74-66=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 74*66=4884, Resulting Numbers: [4884]
4884,65 unequal: No Solution
Exploring Operation: 74+66=140, Resulting Numbers: [140]
140,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[74, 66], Operations: ['60-40=20', '46+20=66']
Exploring Operation: 74+66=140, Resulting Numbers: [140]
140,65 unequal: No Solution
Exploring Operation: 74-66=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 74*66=4884, Resulting Numbers: [4884]
4884,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[74, 54], Operations: ['60-46=14', '40+14=54']
Exploring Operation: 74*54=3996, Resulting Numbers: [3996]
3996,65 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 74+54=128, Resulting Numbers: [128]
128,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[74, 26], Operations: ['60-46=14', '40-14=26']
Exploring Operation: 74+26=100, Resulting Numbers: [100]
100,65 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,65 unequal: No Solution
Exploring Operation: 74*26=1924, Resulting Numbers: [1924]
1924,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[20, 28], Operations: ['60-40=20', '74-46=28']
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,65 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,65 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[14, 34], Operations: ['60-46=14', '74-40=34']
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,65 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 14*34=476, Resulting Numbers: [476]
476,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[74, 26], Operations: ['60-40=20', '46-20=26']
Exploring Operation: 74+26=100, Resulting Numbers: [100]
100,65 unequal: No Solution
Exploring Operation: 74*26=1924, Resulting Numbers: [1924]
1924,65 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,65 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
32,
22,
66,
44
] | 31 | [
"66-22=44",
"44/44=1",
"32-1=31"
] | Current State: 31:[32, 22, 66, 44], Operations: []
Exploring Operation: 66-22=44, Resulting Numbers: [32, 44, 44]
Generated Node #2: [32, 44, 44] from Operation: 66-22=44
Current State: 31:[32, 44, 44], Operations: ['66-22=44']
Exploring Operation: 44/44=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 44/44=1
Current State: 31:[32, 1], Operations: ['66-22=44', '44/44=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[32, 22, 66, 44], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [32, 44, 3]
Generated Node #0,0: 31:[32, 44, 3] Operation: 66/22=3
Exploring Operation: 66-32=34, Resulting Numbers: [22, 44, 34]
Generated Node #0,1: 31:[22, 44, 34] Operation: 66-32=34
Exploring Operation: 66-44=22, Resulting Numbers: [32, 22, 22]
Generated Node #0,2: 31:[32, 22, 22] Operation: 66-44=22
Exploring Operation: 66-22=44, Resulting Numbers: [32, 44, 44]
Generated Node #0,3: 31:[32, 44, 44] Operation: 66-22=44
Moving to Node #0,2
Current State: 31:[32, 22, 22], Operations: ['66-44=22']
Exploring Operation: 22/22=1, Resulting Numbers: [32, 1]
Generated Node #0,2,0: 31:[32, 1] Operation: 22/22=1
Exploring Operation: 32-22=10, Resulting Numbers: [22, 10]
Generated Node #0,2,1: 31:[22, 10] Operation: 32-22=10
Exploring Operation: 22+22=44, Resulting Numbers: [32, 44]
Generated Node #0,2,2: 31:[32, 44] Operation: 22+22=44
Exploring Operation: 32-22=10, Resulting Numbers: [22, 10]
Generated Node #0,2,3: 31:[22, 10] Operation: 32-22=10
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[32, 44], Operations: ['66-44=22', '22+22=44']
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,31 unequal: No Solution
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[22, 10], Operations: ['66-44=22', '32-22=10']
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 31:[22, 10], Operations: ['66-44=22', '32-22=10']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[32, 1], Operations: ['66-44=22', '22/22=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[32, 22, 66, 44], Operations: []
Exploring Operation: 66-44=22, Resulting Numbers: [32, 22, 22]
Generated Node #0,2: 31:[32, 22, 22] Operation: 66-44=22
Moving to Node #0,2
Current State: 31:[32, 22, 22], Operations: ['66-44=22']
Exploring Operation: 22/22=1, Resulting Numbers: [32, 1]
Generated Node #0,2,0: 31:[32, 1] Operation: 22/22=1
Moving to Node #0,2,0
Current State: 31:[32, 1], Operations: ['66-44=22', '22/22=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
48,
30,
74,
78
] | 64 | [
"30+74=104",
"48*104=4992",
"4992/78=64"
] | Current State: 64:[48, 30, 74, 78], Operations: []
Exploring Operation: 30+74=104, Resulting Numbers: [48, 78, 104]
Generated Node #2: [48, 78, 104] from Operation: 30+74=104
Current State: 64:[48, 78, 104], Operations: ['30+74=104']
Exploring Operation: 48*104=4992, Resulting Numbers: [78, 4992]
Generated Node #3: [78, 4992] from Operation: 48*104=4992
Current State: 64:[78, 4992], Operations: ['30+74=104', '48*104=4992']
Exploring Operation: 4992/78=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[48, 30, 74, 78], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [30, 74, 30]
Generated Node #0,0: 64:[30, 74, 30] Operation: 78-48=30
Exploring Operation: 78-74=4, Resulting Numbers: [48, 30, 4]
Generated Node #0,1: 64:[48, 30, 4] Operation: 78-74=4
Exploring Operation: 74-48=26, Resulting Numbers: [30, 78, 26]
Generated Node #0,2: 64:[30, 78, 26] Operation: 74-48=26
Moving to Node #0,0
Current State: 64:[30, 74, 30], Operations: ['78-48=30']
Exploring Operation: 30/30=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 64:[74, 1] Operation: 30/30=1
Exploring Operation: 30-30=0, Resulting Numbers: [74, 0]
Generated Node #0,0,1: 64:[74, 0] Operation: 30-30=0
Exploring Operation: 74-30=44, Resulting Numbers: [30, 44]
Generated Node #0,0,2: 64:[30, 44] Operation: 74-30=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[74, 1], Operations: ['78-48=30', '30/30=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,64 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,64 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,64 unequal: No Solution
No 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: 64:[74, 0], Operations: ['78-48=30', '30-30=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,64 unequal: No Solution
Exploring Operation: 74*0=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 74-0=74, Resulting Numbers: [74]
74,64 unequal: No Solution
No 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: 64:[30, 44], Operations: ['78-48=30', '74-30=44']
Exploring Operation: 30*44=1320, Resulting Numbers: [1320]
1320,64 unequal: No Solution
Exploring Operation: 30+44=74, Resulting Numbers: [74]
74,64 unequal: No Solution
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,64 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: 64:[48, 30, 4], Operations: ['78-74=4']
Exploring Operation: 48/4=12, Resulting Numbers: [30, 12]
Generated Node #0,1,0: 64:[30, 12] Operation: 48/4=12
Exploring Operation: 48-30=18, Resulting Numbers: [4, 18]
Generated Node #0,1,1: 64:[4, 18] Operation: 48-30=18
Exploring Operation: 48+30=78, Resulting Numbers: [4, 78]
Generated Node #0,1,2: 64:[4, 78] Operation: 48+30=78
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[4, 18], Operations: ['78-74=4', '48-30=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,64 unequal: No Solution
No 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: 64:[30, 12], Operations: ['78-74=4', '48/4=12']
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,64 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,64 unequal: No Solution
No 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: 64:[4, 78], Operations: ['78-74=4', '48+30=78']
Exploring Operation: 4+78=82, Resulting Numbers: [82]
82,64 unequal: No Solution
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,64 unequal: No Solution
Exploring Operation: 4*78=312, Resulting Numbers: [312]
312,64 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: 64:[30, 78, 26], Operations: ['74-48=26']
Exploring Operation: 30-26=4, Resulting Numbers: [78, 4]
Generated Node #0,2,0: 64:[78, 4] Operation: 30-26=4
Exploring Operation: 78/26=3, Resulting Numbers: [30, 3]
Generated Node #0,2,1: 64:[30, 3] Operation: 78/26=3
Exploring Operation: 78-26=52, Resulting Numbers: [30, 52]
Generated Node #0,2,2: 64:[30, 52] Operation: 78-26=52
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[30, 3], Operations: ['74-48=26', '78/26=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,64 unequal: No Solution
No 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: 64:[78, 4], Operations: ['74-48=26', '30-26=4']
Exploring Operation: 78*4=312, Resulting Numbers: [312]
312,64 unequal: No Solution
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,64 unequal: No Solution
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,64 unequal: No Solution
No 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: 64:[30, 52], Operations: ['74-48=26', '78-26=52']
Exploring Operation: 30+52=82, Resulting Numbers: [82]
82,64 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Exploring Operation: 30*52=1560, Resulting Numbers: [1560]
1560,64 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 |
[
84,
16,
77,
81
] | 29 | [
"84-81=3",
"16*3=48",
"77-48=29"
] | Current State: 29:[84, 16, 77, 81], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [16, 77, 3]
Generated Node #2: [16, 77, 3] from Operation: 84-81=3
Current State: 29:[16, 77, 3], Operations: ['84-81=3']
Exploring Operation: 16*3=48, Resulting Numbers: [77, 48]
Generated Node #3: [77, 48] from Operation: 16*3=48
Current State: 29:[77, 48], Operations: ['84-81=3', '16*3=48']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[84, 16, 77, 81], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [16, 77, 3]
Generated Node #0,0: 29:[16, 77, 3] Operation: 84-81=3
Exploring Operation: 84-77=7, Resulting Numbers: [16, 81, 7]
Generated Node #0,1: 29:[16, 81, 7] Operation: 84-77=7
Moving to Node #0,0
Current State: 29:[16, 77, 3], Operations: ['84-81=3']
Exploring Operation: 77-16=61, Resulting Numbers: [3, 61]
Generated Node #0,0,0: 29:[3, 61] Operation: 77-16=61
Exploring Operation: 16+3=19, Resulting Numbers: [77, 19]
Generated Node #0,0,1: 29:[77, 19] Operation: 16+3=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[3, 61], Operations: ['84-81=3', '77-16=61']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,29 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:[77, 19], Operations: ['84-81=3', '16+3=19']
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 77+19=96, Resulting Numbers: [96]
96,29 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:[16, 81, 7], Operations: ['84-77=7']
Exploring Operation: 16+7=23, Resulting Numbers: [81, 23]
Generated Node #0,1,0: 29:[81, 23] Operation: 16+7=23
Exploring Operation: 81-16=65, Resulting Numbers: [7, 65]
Generated Node #0,1,1: 29:[7, 65] Operation: 81-16=65
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[81, 23], Operations: ['84-77=7', '16+7=23']
Exploring Operation: 81-23=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 81+23=104, Resulting Numbers: [104]
104,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[7, 65], Operations: ['84-77=7', '81-16=65']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,29 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 |
[
62,
16,
1,
38
] | 41 | [
"62+16=78",
"38-1=37",
"78-37=41"
] | Current State: 41:[62, 16, 1, 38], Operations: []
Exploring Operation: 62+16=78, Resulting Numbers: [1, 38, 78]
Generated Node #2: [1, 38, 78] from Operation: 62+16=78
Current State: 41:[1, 38, 78], Operations: ['62+16=78']
Exploring Operation: 38-1=37, Resulting Numbers: [78, 37]
Generated Node #3: [78, 37] from Operation: 38-1=37
Current State: 41:[78, 37], Operations: ['62+16=78', '38-1=37']
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[62, 16, 1, 38], Operations: []
Exploring Operation: 62-16=46, Resulting Numbers: [1, 38, 46]
Generated Node #0,0: 41:[1, 38, 46] Operation: 62-16=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[1, 38, 46], Operations: ['62-16=46']
Exploring Operation: 1+38=39, Resulting Numbers: [46, 39]
Generated Node #0,0,0: 41:[46, 39] Operation: 1+38=39
Moving to Node #0,0,0
Current State: 41:[46, 39], Operations: ['62-16=46', '1+38=39']
Exploring Operation: 46-39=7, Resulting Numbers: [7]
7,41 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 |
[
45,
13,
52,
16
] | 96 | [
"45+13=58",
"58-52=6",
"16*6=96"
] | Current State: 96:[45, 13, 52, 16], Operations: []
Exploring Operation: 45+13=58, Resulting Numbers: [52, 16, 58]
Generated Node #2: [52, 16, 58] from Operation: 45+13=58
Current State: 96:[52, 16, 58], Operations: ['45+13=58']
Exploring Operation: 58-52=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 58-52=6
Current State: 96:[16, 6], Operations: ['45+13=58', '58-52=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[45, 13, 52, 16], Operations: []
Exploring Operation: 45+52=97, Resulting Numbers: [13, 16, 97]
Generated Node #0,0: 96:[13, 16, 97] Operation: 45+52=97
Moving to Node #0,0
Current State: 96:[13, 16, 97], Operations: ['45+52=97']
Exploring Operation: 16-13=3, Resulting Numbers: [97, 3]
Generated Node #0,0,0: 96:[97, 3] Operation: 16-13=3
Moving to Node #0,0,0
Current State: 96:[97, 3], Operations: ['45+52=97', '16-13=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,96 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
8,
63,
3,
75
] | 54 | [
"63+75=138",
"138/3=46",
"8+46=54"
] | Current State: 54:[8, 63, 3, 75], Operations: []
Exploring Operation: 63+75=138, Resulting Numbers: [8, 3, 138]
Generated Node #2: [8, 3, 138] from Operation: 63+75=138
Current State: 54:[8, 3, 138], Operations: ['63+75=138']
Exploring Operation: 138/3=46, Resulting Numbers: [8, 46]
Generated Node #3: [8, 46] from Operation: 138/3=46
Current State: 54:[8, 46], Operations: ['63+75=138', '138/3=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[8, 63, 3, 75], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [8, 3, 12]
Generated Node #0,0: 54:[8, 3, 12] Operation: 75-63=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[8, 3, 12], Operations: ['75-63=12']
Exploring Operation: 12-8=4, Resulting Numbers: [3, 4]
Generated Node #0,0,0: 54:[3, 4] Operation: 12-8=4
Moving to Node #0,0,0
Current State: 54:[3, 4], Operations: ['75-63=12', '12-8=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,54 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 |
[
18,
24,
29,
27
] | 62 | [
"24-18=6",
"29+27=56",
"6+56=62"
] | Current State: 62:[18, 24, 29, 27], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [29, 27, 6]
Generated Node #2: [29, 27, 6] from Operation: 24-18=6
Current State: 62:[29, 27, 6], Operations: ['24-18=6']
Exploring Operation: 29+27=56, Resulting Numbers: [6, 56]
Generated Node #3: [6, 56] from Operation: 29+27=56
Current State: 62:[6, 56], Operations: ['24-18=6', '29+27=56']
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[18, 24, 29, 27], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [29, 27, 6]
Generated Node #0,0: 62:[29, 27, 6] Operation: 24-18=6
Exploring Operation: 27-18=9, Resulting Numbers: [24, 29, 9]
Generated Node #0,1: 62:[24, 29, 9] Operation: 27-18=9
Exploring Operation: 27-24=3, Resulting Numbers: [18, 29, 3]
Generated Node #0,2: 62:[18, 29, 3] Operation: 27-24=3
Moving to Node #0,0
Current State: 62:[29, 27, 6], Operations: ['24-18=6']
Exploring Operation: 29+6=35, Resulting Numbers: [27, 35]
Generated Node #0,0,0: 62:[27, 35] Operation: 29+6=35
Exploring Operation: 29-27=2, Resulting Numbers: [6, 2]
Generated Node #0,0,1: 62:[6, 2] Operation: 29-27=2
Exploring Operation: 27+6=33, Resulting Numbers: [29, 33]
Generated Node #0,0,2: 62:[29, 33] Operation: 27+6=33
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[6, 2], Operations: ['24-18=6', '29-27=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,62 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[29, 33], Operations: ['24-18=6', '27+6=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[18, 24, 29, 27], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [29, 27, 6]
Generated Node #0,0: 62:[29, 27, 6] Operation: 24-18=6
Moving to Node #0,0
Current State: 62:[29, 27, 6], Operations: ['24-18=6']
Exploring Operation: 27+6=33, Resulting Numbers: [29, 33]
Generated Node #0,0,2: 62:[29, 33] Operation: 27+6=33
Moving to Node #0,0,2
Current State: 62:[29, 33], Operations: ['24-18=6', '27+6=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
71,
57,
83,
9
] | 88 | [
"71-57=14",
"83-9=74",
"14+74=88"
] | Current State: 88:[71, 57, 83, 9], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [83, 9, 14]
Generated Node #2: [83, 9, 14] from Operation: 71-57=14
Current State: 88:[83, 9, 14], Operations: ['71-57=14']
Exploring Operation: 83-9=74, Resulting Numbers: [14, 74]
Generated Node #3: [14, 74] from Operation: 83-9=74
Current State: 88:[14, 74], Operations: ['71-57=14', '83-9=74']
Exploring Operation: 14+74=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[71, 57, 83, 9], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [83, 9, 14]
Generated Node #0,0: 88:[83, 9, 14] Operation: 71-57=14
Exploring Operation: 83-57=26, Resulting Numbers: [71, 9, 26]
Generated Node #0,1: 88:[71, 9, 26] Operation: 83-57=26
Exploring Operation: 83-71=12, Resulting Numbers: [57, 9, 12]
Generated Node #0,2: 88:[57, 9, 12] Operation: 83-71=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[83, 9, 14], Operations: ['71-57=14']
Exploring Operation: 83+9=92, Resulting Numbers: [14, 92]
Generated Node #0,0,0: 88:[14, 92] Operation: 83+9=92
Exploring Operation: 9+14=23, Resulting Numbers: [83, 23]
Generated Node #0,0,1: 88:[83, 23] Operation: 9+14=23
Exploring Operation: 14-9=5, Resulting Numbers: [83, 5]
Generated Node #0,0,2: 88:[83, 5] Operation: 14-9=5
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[83, 23], Operations: ['71-57=14', '9+14=23']
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,88 unequal: No Solution
Exploring Operation: 83*23=1909, Resulting Numbers: [1909]
1909,88 unequal: No Solution
Exploring Operation: 83+23=106, Resulting Numbers: [106]
106,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[83, 5], Operations: ['71-57=14', '14-9=5']
Exploring Operation: 83*5=415, Resulting Numbers: [415]
415,88 unequal: No Solution
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,88 unequal: No Solution
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[71, 57, 83, 9], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [83, 9, 14]
Generated Node #0,0: 88:[83, 9, 14] Operation: 71-57=14
Moving to Node #0,0
Current State: 88:[83, 9, 14], Operations: ['71-57=14']
Exploring Operation: 14-9=5, Resulting Numbers: [83, 5]
Generated Node #0,0,2: 88:[83, 5] Operation: 14-9=5
Moving to Node #0,0,2
Current State: 88:[83, 5], Operations: ['71-57=14', '14-9=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
31,
37,
13,
16
] | 15 | [
"31*16=496",
"37*13=481",
"496-481=15"
] | Current State: 15:[31, 37, 13, 16], Operations: []
Exploring Operation: 31*16=496, Resulting Numbers: [37, 13, 496]
Generated Node #2: [37, 13, 496] from Operation: 31*16=496
Current State: 15:[37, 13, 496], Operations: ['31*16=496']
Exploring Operation: 37*13=481, Resulting Numbers: [496, 481]
Generated Node #3: [496, 481] from Operation: 37*13=481
Current State: 15:[496, 481], Operations: ['31*16=496', '37*13=481']
Exploring Operation: 496-481=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[31, 37, 13, 16], Operations: []
Exploring Operation: 37-13=24, Resulting Numbers: [31, 16, 24]
Generated Node #0,0: 15:[31, 16, 24] Operation: 37-13=24
Exploring Operation: 31-16=15, Resulting Numbers: [37, 13, 15]
Generated Node #0,1: 15:[37, 13, 15] Operation: 31-16=15
Exploring Operation: 31-13=18, Resulting Numbers: [37, 16, 18]
Generated Node #0,2: 15:[37, 16, 18] Operation: 31-13=18
Exploring Operation: 37-16=21, Resulting Numbers: [31, 13, 21]
Generated Node #0,3: 15:[31, 13, 21] Operation: 37-16=21
Exploring Operation: 37-31=6, Resulting Numbers: [13, 16, 6]
Generated Node #0,4: 15:[13, 16, 6] Operation: 37-31=6
Moving to Node #0,4
Current State: 15:[13, 16, 6], Operations: ['37-31=6']
Exploring Operation: 16-6=10, Resulting Numbers: [13, 10]
Generated Node #0,4,0: 15:[13, 10] Operation: 16-6=10
Exploring Operation: 16-13=3, Resulting Numbers: [6, 3]
Generated Node #0,4,1: 15:[6, 3] Operation: 16-13=3
Exploring Operation: 16+6=22, Resulting Numbers: [13, 22]
Generated Node #0,4,2: 15:[13, 22] Operation: 16+6=22
Exploring Operation: 13+6=19, Resulting Numbers: [16, 19]
Generated Node #0,4,3: 15:[16, 19] Operation: 13+6=19
Exploring Operation: 13-6=7, Resulting Numbers: [16, 7]
Generated Node #0,4,4: 15:[16, 7] Operation: 13-6=7
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 15:[6, 3], Operations: ['37-31=6', '16-13=3']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 15:[16, 7], Operations: ['37-31=6', '13-6=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 15:[16, 19], Operations: ['37-31=6', '13+6=19']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,15 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 15:[13, 10], Operations: ['37-31=6', '16-6=10']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,15 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 15:[13, 22], Operations: ['37-31=6', '16+6=22']
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,15 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,15 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: 15:[31, 13, 21], Operations: ['37-16=21']
Exploring Operation: 31+13=44, Resulting Numbers: [21, 44]
Generated Node #0,3,0: 15:[21, 44] Operation: 31+13=44
Exploring Operation: 31-21=10, Resulting Numbers: [13, 10]
Generated Node #0,3,1: 15:[13, 10] Operation: 31-21=10
Exploring Operation: 13+21=34, Resulting Numbers: [31, 34]
Generated Node #0,3,2: 15:[31, 34] Operation: 13+21=34
Exploring Operation: 21-13=8, Resulting Numbers: [31, 8]
Generated Node #0,3,3: 15:[31, 8] Operation: 21-13=8
Exploring Operation: 31-13=18, Resulting Numbers: [21, 18]
Generated Node #0,3,4: 15:[21, 18] Operation: 31-13=18
Moving to Node #0,1
Current State: 15:[37, 13, 15], Operations: ['31-16=15']
Exploring Operation: 37-15=22, Resulting Numbers: [13, 22]
Generated Node #0,1,0: 15:[13, 22] Operation: 37-15=22
Exploring Operation: 13+15=28, Resulting Numbers: [37, 28]
Generated Node #0,1,1: 15:[37, 28] Operation: 13+15=28
Exploring Operation: 37+13=50, Resulting Numbers: [15, 50]
Generated Node #0,1,2: 15:[15, 50] Operation: 37+13=50
Exploring Operation: 15-13=2, Resulting Numbers: [37, 2]
Generated Node #0,1,3: 15:[37, 2] Operation: 15-13=2
Exploring Operation: 37-13=24, Resulting Numbers: [15, 24]
Generated Node #0,1,4: 15:[15, 24] Operation: 37-13=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[13, 22], Operations: ['31-16=15', '37-15=22']
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,15 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 15:[15, 24], Operations: ['31-16=15', '37-13=24']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[37, 2], Operations: ['31-16=15', '15-13=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,15 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[37, 28], Operations: ['31-16=15', '13+15=28']
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 37+28=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 37*28=1036, Resulting Numbers: [1036]
1036,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[15, 50], Operations: ['31-16=15', '37+13=50']
Exploring Operation: 15+50=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 15*50=750, Resulting Numbers: [750]
750,15 unequal: No Solution
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,15 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: 15:[31, 16, 24], Operations: ['37-13=24']
Exploring Operation: 31+16=47, Resulting Numbers: [24, 47]
Generated Node #0,0,0: 15:[24, 47] Operation: 31+16=47
Exploring Operation: 31-24=7, Resulting Numbers: [16, 7]
Generated Node #0,0,1: 15:[16, 7] Operation: 31-24=7
Exploring Operation: 24-16=8, Resulting Numbers: [31, 8]
Generated Node #0,0,2: 15:[31, 8] Operation: 24-16=8
Exploring Operation: 31-16=15, Resulting Numbers: [24, 15]
Generated Node #0,0,3: 15:[24, 15] Operation: 31-16=15
Exploring Operation: 31+24=55, Resulting Numbers: [16, 55]
Generated Node #0,0,4: 15:[16, 55] Operation: 31+24=55
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[16, 7], Operations: ['37-13=24', '31-24=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 15:[24, 15], Operations: ['37-13=24', '31-16=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,15 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[31, 8], Operations: ['37-13=24', '24-16=8']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,15 unequal: No Solution
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[24, 47], Operations: ['37-13=24', '31+16=47']
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,15 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 15:[16, 55], Operations: ['37-13=24', '31+24=55']
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 16*55=880, Resulting Numbers: [880]
880,15 unequal: No Solution
Exploring Operation: 16+55=71, Resulting Numbers: [71]
71,15 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: 15:[37, 16, 18], Operations: ['31-13=18']
Exploring Operation: 18-16=2, Resulting Numbers: [37, 2]
Generated Node #0,2,0: 15:[37, 2] Operation: 18-16=2
Exploring Operation: 37-18=19, Resulting Numbers: [16, 19]
Generated Node #0,2,1: 15:[16, 19] Operation: 37-18=19
Exploring Operation: 37+16=53, Resulting Numbers: [18, 53]
Generated Node #0,2,2: 15:[18, 53] Operation: 37+16=53
Exploring Operation: 37-16=21, Resulting Numbers: [18, 21]
Generated Node #0,2,3: 15:[18, 21] Operation: 37-16=21
Exploring Operation: 37+18=55, Resulting Numbers: [16, 55]
Generated Node #0,2,4: 15:[16, 55] Operation: 37+18=55
Moving to Node #0,2,1
Current State: 15:[16, 19], Operations: ['31-13=18', '37-18=19']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[13, 10], Operations: ['37-16=21', '31-21=10']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[18, 21], Operations: ['31-13=18', '37-16=21']
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,15 unequal: No Solution
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Moving to Node #0,3,4
Current State: 15:[21, 18], Operations: ['37-16=21', '31-13=18']
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,15 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[31, 8], Operations: ['37-16=21', '21-13=8']
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[37, 2], Operations: ['31-13=18', '18-16=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[31, 34], Operations: ['37-16=21', '13+21=34']
Exploring Operation: 31+34=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 31*34=1054, Resulting Numbers: [1054]
1054,15 unequal: No Solution
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[21, 44], Operations: ['37-16=21', '31+13=44']
Exploring Operation: 21*44=924, Resulting Numbers: [924]
924,15 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Moving to Node #0,2,4
Current State: 15:[16, 55], Operations: ['31-13=18', '37+18=55']
Exploring Operation: 16*55=880, Resulting Numbers: [880]
880,15 unequal: No Solution
Exploring Operation: 16+55=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[18, 53], Operations: ['31-13=18', '37+16=53']
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 18*53=954, Resulting Numbers: [954]
954,15 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,15 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
12,
98,
64,
86
] | 64 | [
"98-12=86",
"64+86=150",
"150-86=64"
] | Current State: 64:[12, 98, 64, 86], Operations: []
Exploring Operation: 98-12=86, Resulting Numbers: [64, 86, 86]
Generated Node #2: [64, 86, 86] from Operation: 98-12=86
Current State: 64:[64, 86, 86], Operations: ['98-12=86']
Exploring Operation: 64+86=150, Resulting Numbers: [150]
150,64 equal: Goal Reached
Exploring Operation: 150-86=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[12, 98, 64, 86], Operations: []
Exploring Operation: 98-64=34, Resulting Numbers: [12, 86, 34]
Generated Node #0,0: 64:[12, 86, 34] Operation: 98-64=34
Exploring Operation: 86-12=74, Resulting Numbers: [98, 64, 74]
Generated Node #0,1: 64:[98, 64, 74] Operation: 86-12=74
Exploring Operation: 98-12=86, Resulting Numbers: [64, 86, 86]
Generated Node #0,2: 64:[64, 86, 86] Operation: 98-12=86
Exploring Operation: 98-86=12, Resulting Numbers: [12, 64, 12]
Generated Node #0,3: 64:[12, 64, 12] Operation: 98-86=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[12, 64, 12], Operations: ['98-86=12']
Exploring Operation: 12/12=1, Resulting Numbers: [64, 1]
Generated Node #0,3,0: 64:[64, 1] Operation: 12/12=1
Exploring Operation: 12+64=76, Resulting Numbers: [12, 76]
Generated Node #0,3,1: 64:[12, 76] Operation: 12+64=76
Exploring Operation: 12+12=24, Resulting Numbers: [64, 24]
Generated Node #0,3,2: 64:[64, 24] Operation: 12+12=24
Exploring Operation: 12-12=0, Resulting Numbers: [64, 0]
Generated Node #0,3,3: 64:[64, 0] Operation: 12-12=0
Moving to Node #0,3,0
Current State: 64:[64, 1], Operations: ['98-86=12', '12/12=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[12, 98, 64, 86], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [12, 64, 12]
Generated Node #0,3: 64:[12, 64, 12] Operation: 98-86=12
Moving to Node #0,3
Current State: 64:[12, 64, 12], Operations: ['98-86=12']
Exploring Operation: 12/12=1, Resulting Numbers: [64, 1]
Generated Node #0,3,0: 64:[64, 1] Operation: 12/12=1
Moving to Node #0,3,0
Current State: 64:[64, 1], Operations: ['98-86=12', '12/12=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
70,
17,
66,
36
] | 32 | [
"70-66=4",
"17*4=68",
"68-36=32"
] | Current State: 32:[70, 17, 66, 36], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [17, 36, 4]
Generated Node #2: [17, 36, 4] from Operation: 70-66=4
Current State: 32:[17, 36, 4], Operations: ['70-66=4']
Exploring Operation: 17*4=68, Resulting Numbers: [36, 68]
Generated Node #3: [36, 68] from Operation: 17*4=68
Current State: 32:[36, 68], Operations: ['70-66=4', '17*4=68']
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[70, 17, 66, 36], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [17, 36, 4]
Generated Node #0,0: 32:[17, 36, 4] Operation: 70-66=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[17, 36, 4], Operations: ['70-66=4']
Exploring Operation: 36-4=32, Resulting Numbers: [17, 32]
Generated Node #0,0,0: 32:[17, 32] Operation: 36-4=32
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[17, 32], Operations: ['70-66=4', '36-4=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,32 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_1 | sum_heuristic |
[
91,
27,
9,
52
] | 57 | [
"91+27=118",
"9+52=61",
"118-61=57"
] | Current State: 57:[91, 27, 9, 52], Operations: []
Exploring Operation: 91+27=118, Resulting Numbers: [9, 52, 118]
Generated Node #2: [9, 52, 118] from Operation: 91+27=118
Current State: 57:[9, 52, 118], Operations: ['91+27=118']
Exploring Operation: 9+52=61, Resulting Numbers: [118, 61]
Generated Node #3: [118, 61] from Operation: 9+52=61
Current State: 57:[118, 61], Operations: ['91+27=118', '9+52=61']
Exploring Operation: 118-61=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[91, 27, 9, 52], Operations: []
Exploring Operation: 91-27=64, Resulting Numbers: [9, 52, 64]
Generated Node #0,0: 57:[9, 52, 64] Operation: 91-27=64
Moving to Node #0,0
Current State: 57:[9, 52, 64], Operations: ['91-27=64']
Exploring Operation: 64-9=55, Resulting Numbers: [52, 55]
Generated Node #0,0,0: 57:[52, 55] Operation: 64-9=55
Moving to Node #0,0,0
Current State: 57:[52, 55], Operations: ['91-27=64', '64-9=55']
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,57 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
24,
2,
72,
16
] | 100 | [
"24/2=12",
"72+16=88",
"12+88=100"
] | Current State: 100:[24, 2, 72, 16], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [72, 16, 12]
Generated Node #2: [72, 16, 12] from Operation: 24/2=12
Current State: 100:[72, 16, 12], Operations: ['24/2=12']
Exploring Operation: 72+16=88, Resulting Numbers: [12, 88]
Generated Node #3: [12, 88] from Operation: 72+16=88
Current State: 100:[12, 88], Operations: ['24/2=12', '72+16=88']
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[24, 2, 72, 16], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [2, 16, 48]
Generated Node #0,0: 100:[2, 16, 48] Operation: 72-24=48
Exploring Operation: 72-16=56, Resulting Numbers: [24, 2, 56]
Generated Node #0,1: 100:[24, 2, 56] Operation: 72-16=56
Exploring Operation: 72/24=3, Resulting Numbers: [2, 16, 3]
Generated Node #0,2: 100:[2, 16, 3] Operation: 72/24=3
Moving to Node #0,2
Current State: 100:[2, 16, 3], Operations: ['72/24=3']
Exploring Operation: 16*3=48, Resulting Numbers: [2, 48]
Generated Node #0,2,0: 100:[2, 48] Operation: 16*3=48
Exploring Operation: 16+3=19, Resulting Numbers: [2, 19]
Generated Node #0,2,1: 100:[2, 19] Operation: 16+3=19
Exploring Operation: 2+16=18, Resulting Numbers: [3, 18]
Generated Node #0,2,2: 100:[3, 18] Operation: 2+16=18
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[2, 19], Operations: ['72/24=3', '16+3=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,100 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 #0,2,0
Current State: 100:[2, 48], Operations: ['72/24=3', '16*3=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,100 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 100:[3, 18], Operations: ['72/24=3', '2+16=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,100 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: 100:[2, 16, 48], Operations: ['72-24=48']
Exploring Operation: 48/16=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 100:[2, 3] Operation: 48/16=3
Exploring Operation: 16/2=8, Resulting Numbers: [48, 8]
Generated Node #0,0,1: 100:[48, 8] Operation: 16/2=8
Exploring Operation: 2+16=18, Resulting Numbers: [48, 18]
Generated Node #0,0,2: 100:[48, 18] Operation: 2+16=18
Moving to Node #0,1
Current State: 100:[24, 2, 56], Operations: ['72-16=56']
Exploring Operation: 24+2=26, Resulting Numbers: [56, 26]
Generated Node #0,1,0: 100:[56, 26] Operation: 24+2=26
Exploring Operation: 56/2=28, Resulting Numbers: [24, 28]
Generated Node #0,1,1: 100:[24, 28] Operation: 56/2=28
Exploring Operation: 56-2=54, Resulting Numbers: [24, 54]
Generated Node #0,1,2: 100:[24, 54] Operation: 56-2=54
Moving to Node #0,0,0
Current State: 100:[2, 3], Operations: ['72-24=48', '48/16=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[48, 18], Operations: ['72-24=48', '2+16=18']
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,100 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 48*18=864, Resulting Numbers: [864]
864,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[48, 8], Operations: ['72-24=48', '16/2=8']
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,100 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[24, 28], Operations: ['72-16=56', '56/2=28']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 24*28=672, Resulting Numbers: [672]
672,100 unequal: No Solution
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[24, 54], Operations: ['72-16=56', '56-2=54']
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 24*54=1296, Resulting Numbers: [1296]
1296,100 unequal: No Solution
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[56, 26], Operations: ['72-16=56', '24+2=26']
Exploring Operation: 56+26=82, Resulting Numbers: [82]
82,100 unequal: No Solution
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 56*26=1456, Resulting Numbers: [1456]
1456,100 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
68,
47,
40,
48
] | 27 | [
"68+47=115",
"40+48=88",
"115-88=27"
] | Current State: 27:[68, 47, 40, 48], Operations: []
Exploring Operation: 68+47=115, Resulting Numbers: [40, 48, 115]
Generated Node #2: [40, 48, 115] from Operation: 68+47=115
Current State: 27:[40, 48, 115], Operations: ['68+47=115']
Exploring Operation: 40+48=88, Resulting Numbers: [115, 88]
Generated Node #3: [115, 88] from Operation: 40+48=88
Current State: 27:[115, 88], Operations: ['68+47=115', '40+48=88']
Exploring Operation: 115-88=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[68, 47, 40, 48], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [68, 47, 8]
Generated Node #0,0: 27:[68, 47, 8] Operation: 48-40=8
Exploring Operation: 48-47=1, Resulting Numbers: [68, 40, 1]
Generated Node #0,1: 27:[68, 40, 1] Operation: 48-47=1
Exploring Operation: 68-48=20, Resulting Numbers: [47, 40, 20]
Generated Node #0,2: 27:[47, 40, 20] Operation: 68-48=20
Exploring Operation: 68-47=21, Resulting Numbers: [40, 48, 21]
Generated Node #0,3: 27:[40, 48, 21] Operation: 68-47=21
Exploring Operation: 68-40=28, Resulting Numbers: [47, 48, 28]
Generated Node #0,4: 27:[47, 48, 28] Operation: 68-40=28
Moving to Node #0,2
Current State: 27:[47, 40, 20], Operations: ['68-48=20']
Exploring Operation: 47-40=7, Resulting Numbers: [20, 7]
Generated Node #0,2,0: 27:[20, 7] Operation: 47-40=7
Exploring Operation: 40/20=2, Resulting Numbers: [47, 2]
Generated Node #0,2,1: 27:[47, 2] Operation: 40/20=2
Exploring Operation: 47+20=67, Resulting Numbers: [40, 67]
Generated Node #0,2,2: 27:[40, 67] Operation: 47+20=67
Exploring Operation: 47-20=27, Resulting Numbers: [40, 27]
Generated Node #0,2,3: 27:[40, 27] Operation: 47-20=27
Exploring Operation: 40-20=20, Resulting Numbers: [47, 20]
Generated Node #0,2,4: 27:[47, 20] Operation: 40-20=20
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 27:[20, 7], Operations: ['68-48=20', '47-40=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[68, 47, 40, 48], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [47, 40, 20]
Generated Node #0,2: 27:[47, 40, 20] Operation: 68-48=20
Moving to Node #0,2
Current State: 27:[47, 40, 20], Operations: ['68-48=20']
Exploring Operation: 47-40=7, Resulting Numbers: [20, 7]
Generated Node #0,2,0: 27:[20, 7] Operation: 47-40=7
Moving to Node #0,2,0
Current State: 27:[20, 7], Operations: ['68-48=20', '47-40=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
65,
35,
31,
10
] | 51 | [
"65-35=30",
"31-10=21",
"30+21=51"
] | Current State: 51:[65, 35, 31, 10], Operations: []
Exploring Operation: 65-35=30, Resulting Numbers: [31, 10, 30]
Generated Node #2: [31, 10, 30] from Operation: 65-35=30
Current State: 51:[31, 10, 30], Operations: ['65-35=30']
Exploring Operation: 31-10=21, Resulting Numbers: [30, 21]
Generated Node #3: [30, 21] from Operation: 31-10=21
Current State: 51:[30, 21], Operations: ['65-35=30', '31-10=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[65, 35, 31, 10], Operations: []
Exploring Operation: 65-35=30, Resulting Numbers: [31, 10, 30]
Generated Node #0,0: 51:[31, 10, 30] Operation: 65-35=30
Exploring Operation: 35-31=4, Resulting Numbers: [65, 10, 4]
Generated Node #0,1: 51:[65, 10, 4] Operation: 35-31=4
Exploring Operation: 65-10=55, Resulting Numbers: [35, 31, 55]
Generated Node #0,2: 51:[35, 31, 55] Operation: 65-10=55
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[65, 10, 4], Operations: ['35-31=4']
Exploring Operation: 65-10=55, Resulting Numbers: [4, 55]
Generated Node #0,1,0: 51:[4, 55] Operation: 65-10=55
Exploring Operation: 10+4=14, Resulting Numbers: [65, 14]
Generated Node #0,1,1: 51:[65, 14] Operation: 10+4=14
Exploring Operation: 65-4=61, Resulting Numbers: [10, 61]
Generated Node #0,1,2: 51:[10, 61] Operation: 65-4=61
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[4, 55], Operations: ['35-31=4', '65-10=55']
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,51 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[65, 35, 31, 10], Operations: []
Exploring Operation: 35-31=4, Resulting Numbers: [65, 10, 4]
Generated Node #0,1: 51:[65, 10, 4] Operation: 35-31=4
Moving to Node #0,1
Current State: 51:[65, 10, 4], Operations: ['35-31=4']
Exploring Operation: 65-10=55, Resulting Numbers: [4, 55]
Generated Node #0,1,0: 51:[4, 55] Operation: 65-10=55
Moving to Node #0,1,0
Current State: 51:[4, 55], Operations: ['35-31=4', '65-10=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
87,
73,
85,
46
] | 29 | [
"87+73=160",
"85+46=131",
"160-131=29"
] | Current State: 29:[87, 73, 85, 46], Operations: []
Exploring Operation: 87+73=160, Resulting Numbers: [85, 46, 160]
Generated Node #2: [85, 46, 160] from Operation: 87+73=160
Current State: 29:[85, 46, 160], Operations: ['87+73=160']
Exploring Operation: 85+46=131, Resulting Numbers: [160, 131]
Generated Node #3: [160, 131] from Operation: 85+46=131
Current State: 29:[160, 131], Operations: ['87+73=160', '85+46=131']
Exploring Operation: 160-131=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[87, 73, 85, 46], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [73, 46, 2]
Generated Node #0,0: 29:[73, 46, 2] Operation: 87-85=2
Exploring Operation: 87-73=14, Resulting Numbers: [85, 46, 14]
Generated Node #0,1: 29:[85, 46, 14] Operation: 87-73=14
Moving to Node #0,0
Current State: 29:[73, 46, 2], Operations: ['87-85=2']
Exploring Operation: 73-46=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 29:[2, 27] Operation: 73-46=27
Exploring Operation: 46/2=23, Resulting Numbers: [73, 23]
Generated Node #0,0,1: 29:[73, 23] Operation: 46/2=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[2, 27], Operations: ['87-85=2', '73-46=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[87, 73, 85, 46], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [73, 46, 2]
Generated Node #0,0: 29:[73, 46, 2] Operation: 87-85=2
Moving to Node #0,0
Current State: 29:[73, 46, 2], Operations: ['87-85=2']
Exploring Operation: 73-46=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 29:[2, 27] Operation: 73-46=27
Moving to Node #0,0,0
Current State: 29:[2, 27], Operations: ['87-85=2', '73-46=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
82,
34,
34,
5
] | 76 | [
"82-5=77",
"34/34=1",
"77-1=76"
] | Current State: 76:[82, 34, 34, 5], Operations: []
Exploring Operation: 82-5=77, Resulting Numbers: [34, 34, 77]
Generated Node #2: [34, 34, 77] from Operation: 82-5=77
Current State: 76:[34, 34, 77], Operations: ['82-5=77']
Exploring Operation: 34/34=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 34/34=1
Current State: 76:[77, 1], Operations: ['82-5=77', '34/34=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[82, 34, 34, 5], Operations: []
Exploring Operation: 82-5=77, Resulting Numbers: [34, 34, 77]
Generated Node #0,0: 76:[34, 34, 77] Operation: 82-5=77
Exploring Operation: 34+5=39, Resulting Numbers: [82, 34, 39]
Generated Node #0,1: 76:[82, 34, 39] Operation: 34+5=39
Exploring Operation: 34/34=1, Resulting Numbers: [82, 5, 1]
Generated Node #0,2: 76:[82, 5, 1] Operation: 34/34=1
Exploring Operation: 34-34=0, Resulting Numbers: [82, 5, 0]
Generated Node #0,3: 76:[82, 5, 0] Operation: 34-34=0
Moving to Node #0,2
Current State: 76:[82, 5, 1], Operations: ['34/34=1']
Exploring Operation: 5-1=4, Resulting Numbers: [82, 4]
Generated Node #0,2,0: 76:[82, 4] Operation: 5-1=4
Exploring Operation: 82-5=77, Resulting Numbers: [1, 77]
Generated Node #0,2,1: 76:[1, 77] Operation: 82-5=77
Exploring Operation: 82*1=82, Resulting Numbers: [5, 82]
Generated Node #0,2,2: 76:[5, 82] Operation: 82*1=82
Exploring Operation: 82-1=81, Resulting Numbers: [5, 81]
Generated Node #0,2,3: 76:[5, 81] Operation: 82-1=81
Moving to Node #0,3
Current State: 76:[82, 5, 0], Operations: ['34-34=0']
Exploring Operation: 82-0=82, Resulting Numbers: [5, 82]
Generated Node #0,3,0: 76:[5, 82] Operation: 82-0=82
Exploring Operation: 82*0=0, Resulting Numbers: [5, 0]
Generated Node #0,3,1: 76:[5, 0] Operation: 82*0=0
Exploring Operation: 82+0=82, Resulting Numbers: [5, 82]
Generated Node #0,3,2: 76:[5, 82] Operation: 82+0=82
Exploring Operation: 82-5=77, Resulting Numbers: [0, 77]
Generated Node #0,3,3: 76:[0, 77] Operation: 82-5=77
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 76:[5, 0], Operations: ['34-34=0', '82*0=0']
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 5*0=0, Resulting Numbers: [0]
0,76 unequal: No Solution
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 76:[0, 77], Operations: ['34-34=0', '82-5=77']
Exploring Operation: 0+77=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 77-0=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 0*77=0, Resulting Numbers: [0]
0,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 76:[5, 82], Operations: ['34-34=0', '82-0=82']
Exploring Operation: 5+82=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 5*82=410, Resulting Numbers: [410]
410,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 76:[5, 82], Operations: ['34-34=0', '82+0=82']
Exploring Operation: 5*82=410, Resulting Numbers: [410]
410,76 unequal: No Solution
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 5+82=87, Resulting Numbers: [87]
87,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 76:[34, 34, 77], Operations: ['82-5=77']
Exploring Operation: 34+34=68, Resulting Numbers: [77, 68]
Generated Node #0,0,0: 76:[77, 68] Operation: 34+34=68
Exploring Operation: 77-34=43, Resulting Numbers: [34, 43]
Generated Node #0,0,1: 76:[34, 43] Operation: 77-34=43
Exploring Operation: 34-34=0, Resulting Numbers: [77, 0]
Generated Node #0,0,2: 76:[77, 0] Operation: 34-34=0
Exploring Operation: 34/34=1, Resulting Numbers: [77, 1]
Generated Node #0,0,3: 76:[77, 1] Operation: 34/34=1
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 76:[77, 1], Operations: ['82-5=77', '34/34=1']
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[82, 34, 34, 5], Operations: []
Exploring Operation: 82-5=77, Resulting Numbers: [34, 34, 77]
Generated Node #0,0: 76:[34, 34, 77] Operation: 82-5=77
Moving to Node #0,0
Current State: 76:[34, 34, 77], Operations: ['82-5=77']
Exploring Operation: 34/34=1, Resulting Numbers: [77, 1]
Generated Node #0,0,3: 76:[77, 1] Operation: 34/34=1
Moving to Node #0,0,3
Current State: 76:[77, 1], Operations: ['82-5=77', '34/34=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | sum_heuristic |
[
63,
67,
2,
57
] | 49 | [
"67-63=4",
"2*4=8",
"57-8=49"
] | Current State: 49:[63, 67, 2, 57], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [2, 57, 4]
Generated Node #2: [2, 57, 4] from Operation: 67-63=4
Current State: 49:[2, 57, 4], Operations: ['67-63=4']
Exploring Operation: 2*4=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 2*4=8
Current State: 49:[57, 8], Operations: ['67-63=4', '2*4=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[63, 67, 2, 57], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [67, 2, 6]
Generated Node #0,0: 49:[67, 2, 6] Operation: 63-57=6
Exploring Operation: 67-57=10, Resulting Numbers: [63, 2, 10]
Generated Node #0,1: 49:[63, 2, 10] Operation: 67-57=10
Exploring Operation: 67-63=4, Resulting Numbers: [2, 57, 4]
Generated Node #0,2: 49:[2, 57, 4] Operation: 67-63=4
Moving to Node #0,2
Current State: 49:[2, 57, 4], Operations: ['67-63=4']
Exploring Operation: 57-2=55, Resulting Numbers: [4, 55]
Generated Node #0,2,0: 49:[4, 55] Operation: 57-2=55
Exploring Operation: 2*4=8, Resulting Numbers: [57, 8]
Generated Node #0,2,1: 49:[57, 8] Operation: 2*4=8
Exploring Operation: 2+4=6, Resulting Numbers: [57, 6]
Generated Node #0,2,2: 49:[57, 6] Operation: 2+4=6
Moving to Node #0,1
Current State: 49:[63, 2, 10], Operations: ['67-57=10']
Exploring Operation: 63-2=61, Resulting Numbers: [10, 61]
Generated Node #0,1,0: 49:[10, 61] Operation: 63-2=61
Exploring Operation: 10-2=8, Resulting Numbers: [63, 8]
Generated Node #0,1,1: 49:[63, 8] Operation: 10-2=8
Exploring Operation: 63-10=53, Resulting Numbers: [2, 53]
Generated Node #0,1,2: 49:[2, 53] Operation: 63-10=53
Moving to Node #0,0
Current State: 49:[67, 2, 6], Operations: ['63-57=6']
Exploring Operation: 2+6=8, Resulting Numbers: [67, 8]
Generated Node #0,0,0: 49:[67, 8] Operation: 2+6=8
Exploring Operation: 67-2=65, Resulting Numbers: [6, 65]
Generated Node #0,0,1: 49:[6, 65] Operation: 67-2=65
Exploring Operation: 67-6=61, Resulting Numbers: [2, 61]
Generated Node #0,0,2: 49:[2, 61] Operation: 67-6=61
Moving to Node #0,2,0
Current State: 49:[4, 55], Operations: ['67-63=4', '57-2=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,49 unequal: No Solution
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,49 unequal: No Solution
Moving to Node #0,2,2
Current State: 49:[57, 6], Operations: ['67-63=4', '2+4=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[57, 8], Operations: ['67-63=4', '2*4=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,49 unequal: No Solution
Exploring Operation: 57*8=456, Resulting Numbers: [456]
456,49 unequal: No Solution
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[63, 67, 2, 57], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [2, 57, 4]
Generated Node #0,2: 49:[2, 57, 4] Operation: 67-63=4
Moving to Node #0,2
Current State: 49:[2, 57, 4], Operations: ['67-63=4']
Exploring Operation: 2*4=8, Resulting Numbers: [57, 8]
Generated Node #0,2,1: 49:[57, 8] Operation: 2*4=8
Moving to Node #0,2,1
Current State: 49:[57, 8], Operations: ['67-63=4', '2*4=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.978299 | hs_3 | mult_heuristic |
[
11,
16,
6,
5
] | 77 | [
"11*6=66",
"16-5=11",
"66+11=77"
] | Current State: 77:[11, 16, 6, 5], Operations: []
Exploring Operation: 11*6=66, Resulting Numbers: [16, 5, 66]
Generated Node #2: [16, 5, 66] from Operation: 11*6=66
Current State: 77:[16, 5, 66], Operations: ['11*6=66']
Exploring Operation: 16-5=11, Resulting Numbers: [66, 11]
Generated Node #3: [66, 11] from Operation: 16-5=11
Current State: 77:[66, 11], Operations: ['11*6=66', '16-5=11']
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[11, 16, 6, 5], Operations: []
Exploring Operation: 16-5=11, Resulting Numbers: [11, 6, 11]
Generated Node #0,0: 77:[11, 6, 11] Operation: 16-5=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[11, 6, 11], Operations: ['16-5=11']
Exploring Operation: 11-6=5, Resulting Numbers: [11, 5]
Generated Node #0,0,0: 77:[11, 5] Operation: 11-6=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[11, 5], Operations: ['16-5=11', '11-6=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
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