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 |
|---|---|---|---|---|---|---|---|---|
[
10,
90,
63,
72
] | 79 | [
"90/10=9",
"63/9=7",
"72+7=79"
] | Current State: 79:[10, 90, 63, 72], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [63, 72, 9]
Generated Node #2: [63, 72, 9] from Operation: 90/10=9
Current State: 79:[63, 72, 9], Operations: ['90/10=9']
Exploring Operation: 63/9=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 63/9=7
Current State: 79:[72, 7], Operations: ['90/10=9', '63/9=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[10, 90, 63, 72], Operations: []
Exploring Operation: 10+63=73, Resulting Numbers: [90, 72, 73]
Generated Node #0,0: 79:[90, 72, 73] Operation: 10+63=73
Exploring Operation: 90-10=80, Resulting Numbers: [63, 72, 80]
Generated Node #0,1: 79:[63, 72, 80] Operation: 90-10=80
Exploring Operation: 10+72=82, Resulting Numbers: [90, 63, 82]
Generated Node #0,2: 79:[90, 63, 82] Operation: 10+72=82
Moving to Node #0,0
Current State: 79:[90, 72, 73], Operations: ['10+63=73']
Exploring Operation: 72+73=145, Resulting Numbers: [90, 145]
Generated Node #0,0,0: 79:[90, 145] Operation: 72+73=145
Exploring Operation: 90-72=18, Resulting Numbers: [73, 18]
Generated Node #0,0,1: 79:[73, 18] Operation: 90-72=18
Exploring Operation: 90-73=17, Resulting Numbers: [72, 17]
Generated Node #0,0,2: 79:[72, 17] Operation: 90-73=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[73, 18], Operations: ['10+63=73', '90-72=18']
Exploring Operation: 73+18=91, Resulting Numbers: [91]
91,79 unequal: No Solution
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Exploring Operation: 73*18=1314, Resulting Numbers: [1314]
1314,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[72, 17], Operations: ['10+63=73', '90-73=17']
Exploring Operation: 72*17=1224, Resulting Numbers: [1224]
1224,79 unequal: No Solution
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,79 unequal: No Solution
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[90, 145], Operations: ['10+63=73', '72+73=145']
Exploring Operation: 90*145=13050, Resulting Numbers: [13050]
13050,79 unequal: No Solution
Exploring Operation: 145-90=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Exploring Operation: 90+145=235, Resulting Numbers: [235]
235,79 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: 79:[63, 72, 80], Operations: ['90-10=80']
Exploring Operation: 63+72=135, Resulting Numbers: [80, 135]
Generated Node #0,1,0: 79:[80, 135] Operation: 63+72=135
Exploring Operation: 80-63=17, Resulting Numbers: [72, 17]
Generated Node #0,1,1: 79:[72, 17] Operation: 80-63=17
Exploring Operation: 72-63=9, Resulting Numbers: [80, 9]
Generated Node #0,1,2: 79:[80, 9] Operation: 72-63=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[80, 135], Operations: ['90-10=80', '63+72=135']
Exploring Operation: 80+135=215, Resulting Numbers: [215]
215,79 unequal: No Solution
Exploring Operation: 80*135=10800, Resulting Numbers: [10800]
10800,79 unequal: No Solution
Exploring Operation: 135-80=55, Resulting Numbers: [55]
55,79 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 #0,1,1
Current State: 79:[72, 17], Operations: ['90-10=80', '80-63=17']
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,79 unequal: No Solution
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Exploring Operation: 72*17=1224, Resulting Numbers: [1224]
1224,79 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 #0,1,2
Current State: 79:[80, 9], Operations: ['90-10=80', '72-63=9']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,79 unequal: No Solution
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,79 unequal: No Solution
Exploring Operation: 80*9=720, Resulting Numbers: [720]
720,79 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: 79:[90, 63, 82], Operations: ['10+72=82']
Exploring Operation: 82-63=19, Resulting Numbers: [90, 19]
Generated Node #0,2,0: 79:[90, 19] Operation: 82-63=19
Exploring Operation: 90+63=153, Resulting Numbers: [82, 153]
Generated Node #0,2,1: 79:[82, 153] Operation: 90+63=153
Exploring Operation: 90-63=27, Resulting Numbers: [82, 27]
Generated Node #0,2,2: 79:[82, 27] Operation: 90-63=27
Moving to Node #0,2,2
Current State: 79:[82, 27], Operations: ['10+72=82', '90-63=27']
Exploring Operation: 82+27=109, Resulting Numbers: [109]
109,79 unequal: No Solution
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Exploring Operation: 82*27=2214, Resulting Numbers: [2214]
2214,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[90, 19], Operations: ['10+72=82', '82-63=19']
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,79 unequal: No Solution
Exploring Operation: 90*19=1710, Resulting Numbers: [1710]
1710,79 unequal: No Solution
Exploring Operation: 90+19=109, Resulting Numbers: [109]
109,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[82, 153], Operations: ['10+72=82', '90+63=153']
Exploring Operation: 82*153=12546, Resulting Numbers: [12546]
12546,79 unequal: No Solution
Exploring Operation: 153-82=71, Resulting Numbers: [71]
71,79 unequal: No Solution
Exploring Operation: 82+153=235, Resulting Numbers: [235]
235,79 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
84,
79,
53,
71
] | 23 | [
"84-79=5",
"71-53=18",
"5+18=23"
] | Current State: 23:[84, 79, 53, 71], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [53, 71, 5]
Generated Node #2: [53, 71, 5] from Operation: 84-79=5
Current State: 23:[53, 71, 5], Operations: ['84-79=5']
Exploring Operation: 71-53=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 71-53=18
Current State: 23:[5, 18], Operations: ['84-79=5', '71-53=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[84, 79, 53, 71], Operations: []
Exploring Operation: 84-71=13, Resulting Numbers: [79, 53, 13]
Generated Node #0,0: 23:[79, 53, 13] Operation: 84-71=13
Exploring Operation: 84-79=5, Resulting Numbers: [53, 71, 5]
Generated Node #0,1: 23:[53, 71, 5] Operation: 84-79=5
Exploring Operation: 79-71=8, Resulting Numbers: [84, 53, 8]
Generated Node #0,2: 23:[84, 53, 8] Operation: 79-71=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[79, 53, 13], Operations: ['84-71=13']
Exploring Operation: 79-13=66, Resulting Numbers: [53, 66]
Generated Node #0,0,0: 23:[53, 66] Operation: 79-13=66
Exploring Operation: 79-53=26, Resulting Numbers: [13, 26]
Generated Node #0,0,1: 23:[13, 26] Operation: 79-53=26
Exploring Operation: 53-13=40, Resulting Numbers: [79, 40]
Generated Node #0,0,2: 23:[79, 40] Operation: 53-13=40
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 23:[13, 26], Operations: ['84-71=13', '79-53=26']
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,23 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,23 unequal: No Solution
No 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: 23:[53, 66], Operations: ['84-71=13', '79-13=66']
Exploring Operation: 53+66=119, Resulting Numbers: [119]
119,23 unequal: No Solution
Exploring Operation: 66-53=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 53*66=3498, Resulting Numbers: [3498]
3498,23 unequal: No Solution
No 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: 23:[79, 40], Operations: ['84-71=13', '53-13=40']
Exploring Operation: 79+40=119, Resulting Numbers: [119]
119,23 unequal: No Solution
Exploring Operation: 79*40=3160, Resulting Numbers: [3160]
3160,23 unequal: No Solution
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,23 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: 23:[53, 71, 5], Operations: ['84-79=5']
Exploring Operation: 53-5=48, Resulting Numbers: [71, 48]
Generated Node #0,1,0: 23:[71, 48] Operation: 53-5=48
Exploring Operation: 71-5=66, Resulting Numbers: [53, 66]
Generated Node #0,1,1: 23:[53, 66] Operation: 71-5=66
Exploring Operation: 71-53=18, Resulting Numbers: [5, 18]
Generated Node #0,1,2: 23:[5, 18] Operation: 71-53=18
Moving to Node #0,1,2
Current State: 23:[5, 18], Operations: ['84-79=5', '71-53=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[84, 79, 53, 71], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [53, 71, 5]
Generated Node #0,1: 23:[53, 71, 5] Operation: 84-79=5
Moving to Node #0,1
Current State: 23:[53, 71, 5], Operations: ['84-79=5']
Exploring Operation: 71-53=18, Resulting Numbers: [5, 18]
Generated Node #0,1,2: 23:[5, 18] Operation: 71-53=18
Moving to Node #0,1,2
Current State: 23:[5, 18], Operations: ['84-79=5', '71-53=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
2,
15,
4,
11
] | 47 | [
"2+11=13",
"15*4=60",
"60-13=47"
] | Current State: 47:[2, 15, 4, 11], Operations: []
Exploring Operation: 2+11=13, Resulting Numbers: [15, 4, 13]
Generated Node #2: [15, 4, 13] from Operation: 2+11=13
Current State: 47:[15, 4, 13], Operations: ['2+11=13']
Exploring Operation: 15*4=60, Resulting Numbers: [13, 60]
Generated Node #3: [13, 60] from Operation: 15*4=60
Current State: 47:[13, 60], Operations: ['2+11=13', '15*4=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[2, 15, 4, 11], Operations: []
Exploring Operation: 4*11=44, Resulting Numbers: [2, 15, 44]
Generated Node #0,0: 47:[2, 15, 44] Operation: 4*11=44
Exploring Operation: 15*4=60, Resulting Numbers: [2, 11, 60]
Generated Node #0,1: 47:[2, 11, 60] Operation: 15*4=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[2, 15, 44], Operations: ['4*11=44']
Exploring Operation: 2+15=17, Resulting Numbers: [44, 17]
Generated Node #0,0,0: 47:[44, 17] Operation: 2+15=17
Exploring Operation: 2*15=30, Resulting Numbers: [44, 30]
Generated Node #0,0,1: 47:[44, 30] Operation: 2*15=30
Moving to Node #0,0,1
Current State: 47:[44, 30], Operations: ['4*11=44', '2*15=30']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[44, 17], Operations: ['4*11=44', '2+15=17']
Exploring Operation: 44+17=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,47 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 #0,1
Current State: 47:[2, 11, 60], Operations: ['15*4=60']
Exploring Operation: 2*11=22, Resulting Numbers: [60, 22]
Generated Node #0,1,0: 47:[60, 22] Operation: 2*11=22
Exploring Operation: 2+11=13, Resulting Numbers: [60, 13]
Generated Node #0,1,1: 47:[60, 13] Operation: 2+11=13
Moving to Node #0,1,0
Current State: 47:[60, 22], Operations: ['15*4=60', '2*11=22']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,47 unequal: No Solution
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[60, 13], Operations: ['15*4=60', '2+11=13']
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,47 unequal: No Solution
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[2, 15, 4, 11], Operations: []
Exploring Operation: 15*4=60, Resulting Numbers: [2, 11, 60]
Generated Node #0,1: 47:[2, 11, 60] Operation: 15*4=60
Moving to Node #0,1
Current State: 47:[2, 11, 60], Operations: ['15*4=60']
Exploring Operation: 2+11=13, Resulting Numbers: [60, 13]
Generated Node #0,1,1: 47:[60, 13] Operation: 2+11=13
Moving to Node #0,1,1
Current State: 47:[60, 13], Operations: ['15*4=60', '2+11=13']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_2 | mult_heuristic |
[
36,
49,
9,
16
] | 27 | [
"49-36=13",
"16-13=3",
"9*3=27"
] | Current State: 27:[36, 49, 9, 16], Operations: []
Exploring Operation: 49-36=13, Resulting Numbers: [9, 16, 13]
Generated Node #2: [9, 16, 13] from Operation: 49-36=13
Current State: 27:[9, 16, 13], Operations: ['49-36=13']
Exploring Operation: 16-13=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 16-13=3
Current State: 27:[9, 3], Operations: ['49-36=13', '16-13=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[36, 49, 9, 16], Operations: []
Exploring Operation: 36-9=27, Resulting Numbers: [49, 16, 27]
Generated Node #0,0: 27:[49, 16, 27] Operation: 36-9=27
Exploring Operation: 49-36=13, Resulting Numbers: [9, 16, 13]
Generated Node #0,1: 27:[9, 16, 13] Operation: 49-36=13
Exploring Operation: 49-16=33, Resulting Numbers: [36, 9, 33]
Generated Node #0,2: 27:[36, 9, 33] Operation: 49-16=33
Moving to Node #0,1
Current State: 27:[9, 16, 13], Operations: ['49-36=13']
Exploring Operation: 16+13=29, Resulting Numbers: [9, 29]
Generated Node #0,1,0: 27:[9, 29] Operation: 16+13=29
Exploring Operation: 9+16=25, Resulting Numbers: [13, 25]
Generated Node #0,1,1: 27:[13, 25] Operation: 9+16=25
Exploring Operation: 16-13=3, Resulting Numbers: [9, 3]
Generated Node #0,1,2: 27:[9, 3] Operation: 16-13=3
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 27:[9, 3], Operations: ['49-36=13', '16-13=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,27 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[36, 49, 9, 16], Operations: []
Exploring Operation: 49-36=13, Resulting Numbers: [9, 16, 13]
Generated Node #0,1: 27:[9, 16, 13] Operation: 49-36=13
Moving to Node #0,1
Current State: 27:[9, 16, 13], Operations: ['49-36=13']
Exploring Operation: 16-13=3, Resulting Numbers: [9, 3]
Generated Node #0,1,2: 27:[9, 3] Operation: 16-13=3
Moving to Node #0,1,2
Current State: 27:[9, 3], Operations: ['49-36=13', '16-13=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
70,
14,
11,
5
] | 60 | [
"70/14=5",
"11*5=55",
"5+55=60"
] | Current State: 60:[70, 14, 11, 5], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [11, 5, 5]
Generated Node #2: [11, 5, 5] from Operation: 70/14=5
Current State: 60:[11, 5, 5], Operations: ['70/14=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,60 equal: Goal Reached
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[70, 14, 11, 5], Operations: []
Exploring Operation: 70-11=59, Resulting Numbers: [14, 5, 59]
Generated Node #0,0: 60:[14, 5, 59] Operation: 70-11=59
Exploring Operation: 70/5=14, Resulting Numbers: [14, 11, 14]
Generated Node #0,1: 60:[14, 11, 14] Operation: 70/5=14
Exploring Operation: 70/14=5, Resulting Numbers: [11, 5, 5]
Generated Node #0,2: 60:[11, 5, 5] Operation: 70/14=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[11, 5, 5], Operations: ['70/14=5']
Exploring Operation: 11+5=16, Resulting Numbers: [5, 16]
Generated Node #0,2,0: 60:[5, 16] Operation: 11+5=16
Exploring Operation: 11-5=6, Resulting Numbers: [5, 6]
Generated Node #0,2,1: 60:[5, 6] Operation: 11-5=6
Exploring Operation: 11-5=6, Resulting Numbers: [5, 6]
Generated Node #0,2,2: 60:[5, 6] Operation: 11-5=6
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[5, 6], Operations: ['70/14=5', '11-5=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[5, 6], Operations: ['70/14=5', '11-5=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[5, 16], Operations: ['70/14=5', '11+5=16']
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,60 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[14, 5, 59], Operations: ['70-11=59']
Exploring Operation: 14+5=19, Resulting Numbers: [59, 19]
Generated Node #0,0,0: 60:[59, 19] Operation: 14+5=19
Exploring Operation: 5+59=64, Resulting Numbers: [14, 64]
Generated Node #0,0,1: 60:[14, 64] Operation: 5+59=64
Exploring Operation: 14-5=9, Resulting Numbers: [59, 9]
Generated Node #0,0,2: 60:[59, 9] Operation: 14-5=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[59, 19], Operations: ['70-11=59', '14+5=19']
Exploring Operation: 59*19=1121, Resulting Numbers: [1121]
1121,60 unequal: No Solution
Exploring Operation: 59+19=78, Resulting Numbers: [78]
78,60 unequal: No Solution
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 60:[59, 9], Operations: ['70-11=59', '14-5=9']
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,60 unequal: No Solution
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Exploring Operation: 59*9=531, Resulting Numbers: [531]
531,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 60:[14, 64], Operations: ['70-11=59', '5+59=64']
Exploring Operation: 14+64=78, Resulting Numbers: [78]
78,60 unequal: No Solution
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Exploring Operation: 14*64=896, Resulting Numbers: [896]
896,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[14, 11, 14], Operations: ['70/5=14']
Exploring Operation: 14-11=3, Resulting Numbers: [14, 3]
Generated Node #0,1,0: 60:[14, 3] Operation: 14-11=3
Exploring Operation: 14-11=3, Resulting Numbers: [14, 3]
Generated Node #0,1,1: 60:[14, 3] Operation: 14-11=3
Exploring Operation: 14/14=1, Resulting Numbers: [11, 1]
Generated Node #0,1,2: 60:[11, 1] Operation: 14/14=1
Moving to Node #0,1,0
Current State: 60:[14, 3], Operations: ['70/5=14', '14-11=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,60 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[14, 3], Operations: ['70/5=14', '14-11=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,60 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[11, 1], Operations: ['70/5=14', '14/14=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,60 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 |
[
33,
45,
20,
59
] | 27 | [
"45-33=12",
"59-20=39",
"39-12=27"
] | Current State: 27:[33, 45, 20, 59], Operations: []
Exploring Operation: 45-33=12, Resulting Numbers: [20, 59, 12]
Generated Node #2: [20, 59, 12] from Operation: 45-33=12
Current State: 27:[20, 59, 12], Operations: ['45-33=12']
Exploring Operation: 59-20=39, Resulting Numbers: [12, 39]
Generated Node #3: [12, 39] from Operation: 59-20=39
Current State: 27:[12, 39], Operations: ['45-33=12', '59-20=39']
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[33, 45, 20, 59], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [33, 20, 14]
Generated Node #0,0: 27:[33, 20, 14] Operation: 59-45=14
Exploring Operation: 59-33=26, Resulting Numbers: [45, 20, 26]
Generated Node #0,1: 27:[45, 20, 26] Operation: 59-33=26
Exploring Operation: 59-20=39, Resulting Numbers: [33, 45, 39]
Generated Node #0,2: 27:[33, 45, 39] Operation: 59-20=39
Moving to Node #0,0
Current State: 27:[33, 20, 14], Operations: ['59-45=14']
Exploring Operation: 20+14=34, Resulting Numbers: [33, 34]
Generated Node #0,0,0: 27:[33, 34] Operation: 20+14=34
Exploring Operation: 33-20=13, Resulting Numbers: [14, 13]
Generated Node #0,0,1: 27:[14, 13] Operation: 33-20=13
Exploring Operation: 20-14=6, Resulting Numbers: [33, 6]
Generated Node #0,0,2: 27:[33, 6] Operation: 20-14=6
Moving to Node #0,1
Current State: 27:[45, 20, 26], Operations: ['59-33=26']
Exploring Operation: 26-20=6, Resulting Numbers: [45, 6]
Generated Node #0,1,0: 27:[45, 6] Operation: 26-20=6
Exploring Operation: 45-26=19, Resulting Numbers: [20, 19]
Generated Node #0,1,1: 27:[20, 19] Operation: 45-26=19
Exploring Operation: 45-20=25, Resulting Numbers: [26, 25]
Generated Node #0,1,2: 27:[26, 25] Operation: 45-20=25
Moving to Node #0,2
Current State: 27:[33, 45, 39], Operations: ['59-20=39']
Exploring Operation: 39-33=6, Resulting Numbers: [45, 6]
Generated Node #0,2,0: 27:[45, 6] Operation: 39-33=6
Exploring Operation: 45-33=12, Resulting Numbers: [39, 12]
Generated Node #0,2,1: 27:[39, 12] Operation: 45-33=12
Exploring Operation: 45-39=6, Resulting Numbers: [33, 6]
Generated Node #0,2,2: 27:[33, 6] Operation: 45-39=6
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 27:[33, 6], Operations: ['59-20=39', '45-39=6']
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,27 unequal: No Solution
Exploring Operation: 33*6=198, Resulting Numbers: [198]
198,27 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[33, 45, 20, 59], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [33, 45, 39]
Generated Node #0,2: 27:[33, 45, 39] Operation: 59-20=39
Moving to Node #0,2
Current State: 27:[33, 45, 39], Operations: ['59-20=39']
Exploring Operation: 45-39=6, Resulting Numbers: [33, 6]
Generated Node #0,2,2: 27:[33, 6] Operation: 45-39=6
Moving to Node #0,2,2
Current State: 27:[33, 6], Operations: ['59-20=39', '45-39=6']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
96,
81,
2,
99
] | 39 | [
"96+81=177",
"177-99=78",
"78/2=39"
] | Current State: 39:[96, 81, 2, 99], Operations: []
Exploring Operation: 96+81=177, Resulting Numbers: [2, 99, 177]
Generated Node #2: [2, 99, 177] from Operation: 96+81=177
Current State: 39:[2, 99, 177], Operations: ['96+81=177']
Exploring Operation: 177-99=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 177-99=78
Current State: 39:[2, 78], Operations: ['96+81=177', '177-99=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[96, 81, 2, 99], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [81, 2, 3]
Generated Node #0,0: 39:[81, 2, 3] Operation: 99-96=3
Exploring Operation: 96-81=15, Resulting Numbers: [2, 99, 15]
Generated Node #0,1: 39:[2, 99, 15] Operation: 96-81=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[81, 2, 3], Operations: ['99-96=3']
Exploring Operation: 81/3=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 39:[2, 27] Operation: 81/3=27
Exploring Operation: 81-2=79, Resulting Numbers: [3, 79]
Generated Node #0,0,1: 39:[3, 79] Operation: 81-2=79
Moving to Node #0,0,0
Current State: 39:[2, 27], Operations: ['99-96=3', '81/3=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,39 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[3, 79], Operations: ['99-96=3', '81-2=79']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 3+79=82, Resulting Numbers: [82]
82,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[2, 99, 15], Operations: ['96-81=15']
Exploring Operation: 99-2=97, Resulting Numbers: [15, 97]
Generated Node #0,1,0: 39:[15, 97] Operation: 99-2=97
Exploring Operation: 99-15=84, Resulting Numbers: [2, 84]
Generated Node #0,1,1: 39:[2, 84] Operation: 99-15=84
Moving to Node #0,1,1
Current State: 39:[2, 84], Operations: ['96-81=15', '99-15=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,39 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[15, 97], Operations: ['96-81=15', '99-2=97']
Exploring Operation: 97-15=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 15+97=112, Resulting Numbers: [112]
112,39 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 |
[
64,
63,
90,
60
] | 31 | [
"64-63=1",
"90-60=30",
"1+30=31"
] | Current State: 31:[64, 63, 90, 60], Operations: []
Exploring Operation: 64-63=1, Resulting Numbers: [90, 60, 1]
Generated Node #2: [90, 60, 1] from Operation: 64-63=1
Current State: 31:[90, 60, 1], Operations: ['64-63=1']
Exploring Operation: 90-60=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 90-60=30
Current State: 31:[1, 30], Operations: ['64-63=1', '90-60=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[64, 63, 90, 60], Operations: []
Exploring Operation: 90-64=26, Resulting Numbers: [63, 60, 26]
Generated Node #0,0: 31:[63, 60, 26] Operation: 90-64=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[63, 60, 26], Operations: ['90-64=26']
Exploring Operation: 63-60=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 31:[26, 3] Operation: 63-60=3
Moving to Node #0,0,0
Current State: 31:[26, 3], Operations: ['90-64=26', '63-60=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,31 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 |
[
52,
54,
74,
14
] | 23 | [
"54-52=2",
"74/2=37",
"37-14=23"
] | Current State: 23:[52, 54, 74, 14], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [74, 14, 2]
Generated Node #2: [74, 14, 2] from Operation: 54-52=2
Current State: 23:[74, 14, 2], Operations: ['54-52=2']
Exploring Operation: 74/2=37, Resulting Numbers: [14, 37]
Generated Node #3: [14, 37] from Operation: 74/2=37
Current State: 23:[14, 37], Operations: ['54-52=2', '74/2=37']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[52, 54, 74, 14], Operations: []
Exploring Operation: 74-52=22, Resulting Numbers: [54, 14, 22]
Generated Node #0,0: 23:[54, 14, 22] Operation: 74-52=22
Exploring Operation: 74-54=20, Resulting Numbers: [52, 14, 20]
Generated Node #0,1: 23:[52, 14, 20] Operation: 74-54=20
Exploring Operation: 54-52=2, Resulting Numbers: [74, 14, 2]
Generated Node #0,2: 23:[74, 14, 2] Operation: 54-52=2
Exploring Operation: 52-14=38, Resulting Numbers: [54, 74, 38]
Generated Node #0,3: 23:[54, 74, 38] Operation: 52-14=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[54, 14, 22], Operations: ['74-52=22']
Exploring Operation: 54-22=32, Resulting Numbers: [14, 32]
Generated Node #0,0,0: 23:[14, 32] Operation: 54-22=32
Exploring Operation: 14+22=36, Resulting Numbers: [54, 36]
Generated Node #0,0,1: 23:[54, 36] Operation: 14+22=36
Exploring Operation: 54+14=68, Resulting Numbers: [22, 68]
Generated Node #0,0,2: 23:[22, 68] Operation: 54+14=68
Exploring Operation: 54-14=40, Resulting Numbers: [22, 40]
Generated Node #0,0,3: 23:[22, 40] Operation: 54-14=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[14, 32], Operations: ['74-52=22', '54-22=32']
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,23 unequal: No Solution
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,23 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,23 unequal: No Solution
No 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: 23:[22, 40], Operations: ['74-52=22', '54-14=40']
Exploring Operation: 22*40=880, Resulting Numbers: [880]
880,23 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,23 unequal: No Solution
No 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: 23:[54, 36], Operations: ['74-52=22', '14+22=36']
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 54*36=1944, Resulting Numbers: [1944]
1944,23 unequal: No Solution
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,23 unequal: No Solution
No 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: 23:[22, 68], Operations: ['74-52=22', '54+14=68']
Exploring Operation: 22*68=1496, Resulting Numbers: [1496]
1496,23 unequal: No Solution
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,23 unequal: No Solution
Exploring Operation: 22+68=90, Resulting Numbers: [90]
90,23 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: 23:[52, 14, 20], Operations: ['74-54=20']
Exploring Operation: 52+14=66, Resulting Numbers: [20, 66]
Generated Node #0,1,0: 23:[20, 66] Operation: 52+14=66
Exploring Operation: 52-14=38, Resulting Numbers: [20, 38]
Generated Node #0,1,1: 23:[20, 38] Operation: 52-14=38
Exploring Operation: 52-20=32, Resulting Numbers: [14, 32]
Generated Node #0,1,2: 23:[14, 32] Operation: 52-20=32
Exploring Operation: 14+20=34, Resulting Numbers: [52, 34]
Generated Node #0,1,3: 23:[52, 34] Operation: 14+20=34
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 23:[20, 38], Operations: ['74-54=20', '52-14=38']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,23 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,23 unequal: No Solution
No 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: 23:[14, 32], Operations: ['74-54=20', '52-20=32']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,23 unequal: No Solution
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,23 unequal: No Solution
No 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: 23:[52, 34], Operations: ['74-54=20', '14+20=34']
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 52+34=86, Resulting Numbers: [86]
86,23 unequal: No Solution
Exploring Operation: 52*34=1768, Resulting Numbers: [1768]
1768,23 unequal: No Solution
No 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: 23:[20, 66], Operations: ['74-54=20', '52+14=66']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,23 unequal: No Solution
Exploring Operation: 20*66=1320, Resulting Numbers: [1320]
1320,23 unequal: No Solution
Exploring Operation: 20+66=86, Resulting Numbers: [86]
86,23 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: 23:[74, 14, 2], Operations: ['54-52=2']
Exploring Operation: 14*2=28, Resulting Numbers: [74, 28]
Generated Node #0,2,0: 23:[74, 28] Operation: 14*2=28
Exploring Operation: 74-14=60, Resulting Numbers: [2, 60]
Generated Node #0,2,1: 23:[2, 60] Operation: 74-14=60
Exploring Operation: 74-2=72, Resulting Numbers: [14, 72]
Generated Node #0,2,2: 23:[14, 72] Operation: 74-2=72
Exploring Operation: 74/2=37, Resulting Numbers: [14, 37]
Generated Node #0,2,3: 23:[14, 37] Operation: 74/2=37
Moving to Node #0,2,3
Current State: 23:[14, 37], Operations: ['54-52=2', '74/2=37']
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,23 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[52, 54, 74, 14], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [74, 14, 2]
Generated Node #0,2: 23:[74, 14, 2] Operation: 54-52=2
Moving to Node #0,2
Current State: 23:[74, 14, 2], Operations: ['54-52=2']
Exploring Operation: 74/2=37, Resulting Numbers: [14, 37]
Generated Node #0,2,3: 23:[14, 37] Operation: 74/2=37
Moving to Node #0,2,3
Current State: 23:[14, 37], Operations: ['54-52=2', '74/2=37']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_4 | sum_heuristic |
[
2,
34,
7,
63
] | 23 | [
"34-2=32",
"63/7=9",
"32-9=23"
] | Current State: 23:[2, 34, 7, 63], Operations: []
Exploring Operation: 34-2=32, Resulting Numbers: [7, 63, 32]
Generated Node #2: [7, 63, 32] from Operation: 34-2=32
Current State: 23:[7, 63, 32], Operations: ['34-2=32']
Exploring Operation: 63/7=9, Resulting Numbers: [32, 9]
Generated Node #3: [32, 9] from Operation: 63/7=9
Current State: 23:[32, 9], Operations: ['34-2=32', '63/7=9']
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[2, 34, 7, 63], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [2, 34, 9]
Generated Node #0,0: 23:[2, 34, 9] Operation: 63/7=9
Exploring Operation: 63-34=29, Resulting Numbers: [2, 7, 29]
Generated Node #0,1: 23:[2, 7, 29] Operation: 63-34=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[2, 7, 29], Operations: ['63-34=29']
Exploring Operation: 2*7=14, Resulting Numbers: [29, 14]
Generated Node #0,1,0: 23:[29, 14] Operation: 2*7=14
Exploring Operation: 2+7=9, Resulting Numbers: [29, 9]
Generated Node #0,1,1: 23:[29, 9] Operation: 2+7=9
Moving to Node #0,1,0
Current State: 23:[29, 14], Operations: ['63-34=29', '2*7=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[29, 9], Operations: ['63-34=29', '2+7=9']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[2, 34, 9], Operations: ['63/7=9']
Exploring Operation: 2*9=18, Resulting Numbers: [34, 18]
Generated Node #0,0,0: 23:[34, 18] Operation: 2*9=18
Exploring Operation: 34/2=17, Resulting Numbers: [9, 17]
Generated Node #0,0,1: 23:[9, 17] Operation: 34/2=17
Moving to Node #0,0,0
Current State: 23:[34, 18], Operations: ['63/7=9', '2*9=18']
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[9, 17], Operations: ['63/7=9', '34/2=17']
Exploring Operation: 9+17=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,23 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 |
[
53,
66,
47,
62
] | 25 | [
"53+47=100",
"66-62=4",
"100/4=25"
] | Current State: 25:[53, 66, 47, 62], Operations: []
Exploring Operation: 53+47=100, Resulting Numbers: [66, 62, 100]
Generated Node #2: [66, 62, 100] from Operation: 53+47=100
Current State: 25:[66, 62, 100], Operations: ['53+47=100']
Exploring Operation: 66-62=4, Resulting Numbers: [100, 4]
Generated Node #3: [100, 4] from Operation: 66-62=4
Current State: 25:[100, 4], Operations: ['53+47=100', '66-62=4']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[53, 66, 47, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [53, 47, 4]
Generated Node #0,0: 25:[53, 47, 4] Operation: 66-62=4
Exploring Operation: 66-53=13, Resulting Numbers: [47, 62, 13]
Generated Node #0,1: 25:[47, 62, 13] Operation: 66-53=13
Exploring Operation: 62-53=9, Resulting Numbers: [66, 47, 9]
Generated Node #0,2: 25:[66, 47, 9] Operation: 62-53=9
Moving to Node #0,0
Current State: 25:[53, 47, 4], Operations: ['66-62=4']
Exploring Operation: 53-47=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 25:[4, 6] Operation: 53-47=6
Exploring Operation: 47-4=43, Resulting Numbers: [53, 43]
Generated Node #0,0,1: 25:[53, 43] Operation: 47-4=43
Exploring Operation: 53-4=49, Resulting Numbers: [47, 49]
Generated Node #0,0,2: 25:[47, 49] Operation: 53-4=49
Moving to Node #0,1
Current State: 25:[47, 62, 13], Operations: ['66-53=13']
Exploring Operation: 62-47=15, Resulting Numbers: [13, 15]
Generated Node #0,1,0: 25:[13, 15] Operation: 62-47=15
Exploring Operation: 47-13=34, Resulting Numbers: [62, 34]
Generated Node #0,1,1: 25:[62, 34] Operation: 47-13=34
Exploring Operation: 62-13=49, Resulting Numbers: [47, 49]
Generated Node #0,1,2: 25:[47, 49] Operation: 62-13=49
Moving to Node #0,2
Current State: 25:[66, 47, 9], Operations: ['62-53=9']
Exploring Operation: 66-9=57, Resulting Numbers: [47, 57]
Generated Node #0,2,0: 25:[47, 57] Operation: 66-9=57
Exploring Operation: 47-9=38, Resulting Numbers: [66, 38]
Generated Node #0,2,1: 25:[66, 38] Operation: 47-9=38
Exploring Operation: 66-47=19, Resulting Numbers: [9, 19]
Generated Node #0,2,2: 25:[9, 19] Operation: 66-47=19
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[9, 19], Operations: ['62-53=9', '66-47=19']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 9*19=171, Resulting Numbers: [171]
171,25 unequal: No Solution
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 25:[47, 57], Operations: ['62-53=9', '66-9=57']
Exploring Operation: 47*57=2679, Resulting Numbers: [2679]
2679,25 unequal: No Solution
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 47+57=104, Resulting Numbers: [104]
104,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 25:[66, 38], Operations: ['62-53=9', '47-9=38']
Exploring Operation: 66*38=2508, Resulting Numbers: [2508]
2508,25 unequal: No Solution
Exploring Operation: 66+38=104, Resulting Numbers: [104]
104,25 unequal: No Solution
Exploring Operation: 66-38=28, Resulting Numbers: [28]
28,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 25:[4, 6], Operations: ['66-62=4', '53-47=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[13, 15], Operations: ['66-53=13', '62-47=15']
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[47, 49], Operations: ['66-62=4', '53-4=49']
Exploring Operation: 47*49=2303, Resulting Numbers: [2303]
2303,25 unequal: No Solution
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[47, 49], Operations: ['66-53=13', '62-13=49']
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 47*49=2303, Resulting Numbers: [2303]
2303,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[62, 34], Operations: ['66-53=13', '47-13=34']
Exploring Operation: 62*34=2108, Resulting Numbers: [2108]
2108,25 unequal: No Solution
Exploring Operation: 62-34=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 62+34=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[53, 43], Operations: ['66-62=4', '47-4=43']
Exploring Operation: 53*43=2279, Resulting Numbers: [2279]
2279,25 unequal: No Solution
Exploring Operation: 53-43=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 53+43=96, Resulting Numbers: [96]
96,25 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
35,
90,
15,
79
] | 39 | [
"90-35=55",
"15+79=94",
"94-55=39"
] | Current State: 39:[35, 90, 15, 79], Operations: []
Exploring Operation: 90-35=55, Resulting Numbers: [15, 79, 55]
Generated Node #2: [15, 79, 55] from Operation: 90-35=55
Current State: 39:[15, 79, 55], Operations: ['90-35=55']
Exploring Operation: 15+79=94, Resulting Numbers: [55, 94]
Generated Node #3: [55, 94] from Operation: 15+79=94
Current State: 39:[55, 94], Operations: ['90-35=55', '15+79=94']
Exploring Operation: 94-55=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[35, 90, 15, 79], Operations: []
Exploring Operation: 90-79=11, Resulting Numbers: [35, 15, 11]
Generated Node #0,0: 39:[35, 15, 11] Operation: 90-79=11
Moving to Node #0,0
Current State: 39:[35, 15, 11], Operations: ['90-79=11']
Exploring Operation: 15-11=4, Resulting Numbers: [35, 4]
Generated Node #0,0,0: 39:[35, 4] Operation: 15-11=4
Moving to Node #0,0,0
Current State: 39:[35, 4], Operations: ['90-79=11', '15-11=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[35, 90, 15, 79], Operations: []
Exploring Operation: 90-79=11, Resulting Numbers: [35, 15, 11]
Generated Node #0,0: 39:[35, 15, 11] Operation: 90-79=11
Moving to Node #0,0
Current State: 39:[35, 15, 11], Operations: ['90-79=11']
Exploring Operation: 15-11=4, Resulting Numbers: [35, 4]
Generated Node #0,0,0: 39:[35, 4] Operation: 15-11=4
Moving to Node #0,0,0
Current State: 39:[35, 4], Operations: ['90-79=11', '15-11=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
39,
76,
13,
2
] | 14 | [
"39+13=52",
"76/2=38",
"52-38=14"
] | Current State: 14:[39, 76, 13, 2], Operations: []
Exploring Operation: 39+13=52, Resulting Numbers: [76, 2, 52]
Generated Node #2: [76, 2, 52] from Operation: 39+13=52
Current State: 14:[76, 2, 52], Operations: ['39+13=52']
Exploring Operation: 76/2=38, Resulting Numbers: [52, 38]
Generated Node #3: [52, 38] from Operation: 76/2=38
Current State: 14:[52, 38], Operations: ['39+13=52', '76/2=38']
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[39, 76, 13, 2], Operations: []
Exploring Operation: 76-39=37, Resulting Numbers: [13, 2, 37]
Generated Node #0,0: 14:[13, 2, 37] Operation: 76-39=37
Exploring Operation: 39/13=3, Resulting Numbers: [76, 2, 3]
Generated Node #0,1: 14:[76, 2, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [76, 2, 26]
Generated Node #0,2: 14:[76, 2, 26] Operation: 39-13=26
Exploring Operation: 76/2=38, Resulting Numbers: [39, 13, 38]
Generated Node #0,3: 14:[39, 13, 38] Operation: 76/2=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[13, 2, 37], Operations: ['76-39=37']
Exploring Operation: 13+2=15, Resulting Numbers: [37, 15]
Generated Node #0,0,0: 14:[37, 15] Operation: 13+2=15
Exploring Operation: 13-2=11, Resulting Numbers: [37, 11]
Generated Node #0,0,1: 14:[37, 11] Operation: 13-2=11
Exploring Operation: 37-2=35, Resulting Numbers: [13, 35]
Generated Node #0,0,2: 14:[13, 35] Operation: 37-2=35
Exploring Operation: 37-13=24, Resulting Numbers: [2, 24]
Generated Node #0,0,3: 14:[2, 24] Operation: 37-13=24
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 14:[2, 24], Operations: ['76-39=37', '37-13=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,14 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,14 unequal: No Solution
No 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: 14:[13, 35], Operations: ['76-39=37', '37-2=35']
Exploring Operation: 13*35=455, Resulting Numbers: [455]
455,14 unequal: No Solution
Exploring Operation: 13+35=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,14 unequal: No Solution
No 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: 14:[37, 15], Operations: ['76-39=37', '13+2=15']
Exploring Operation: 37+15=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 37*15=555, Resulting Numbers: [555]
555,14 unequal: No Solution
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,14 unequal: No Solution
No 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: 14:[37, 11], Operations: ['76-39=37', '13-2=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,14 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: 14:[39, 13, 38], Operations: ['76/2=38']
Exploring Operation: 38-13=25, Resulting Numbers: [39, 25]
Generated Node #0,3,0: 14:[39, 25] Operation: 38-13=25
Exploring Operation: 39-38=1, Resulting Numbers: [13, 1]
Generated Node #0,3,1: 14:[13, 1] Operation: 39-38=1
Exploring Operation: 39/13=3, Resulting Numbers: [38, 3]
Generated Node #0,3,2: 14:[38, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [38, 26]
Generated Node #0,3,3: 14:[38, 26] Operation: 39-13=26
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 14:[13, 1], Operations: ['76/2=38', '39-38=1']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[39, 76, 13, 2], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [39, 13, 38]
Generated Node #0,3: 14:[39, 13, 38] Operation: 76/2=38
Moving to Node #0,3
Current State: 14:[39, 13, 38], Operations: ['76/2=38']
Exploring Operation: 39-38=1, Resulting Numbers: [13, 1]
Generated Node #0,3,1: 14:[13, 1] Operation: 39-38=1
Moving to Node #0,3,1
Current State: 14:[13, 1], Operations: ['76/2=38', '39-38=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
13,
64,
11,
50
] | 67 | [
"50-11=39",
"39/13=3",
"64+3=67"
] | Current State: 67:[13, 64, 11, 50], Operations: []
Exploring Operation: 50-11=39, Resulting Numbers: [13, 64, 39]
Generated Node #2: [13, 64, 39] from Operation: 50-11=39
Current State: 67:[13, 64, 39], Operations: ['50-11=39']
Exploring Operation: 39/13=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 39/13=3
Current State: 67:[64, 3], Operations: ['50-11=39', '39/13=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[13, 64, 11, 50], Operations: []
Exploring Operation: 13+50=63, Resulting Numbers: [64, 11, 63]
Generated Node #0,0: 67:[64, 11, 63] Operation: 13+50=63
Exploring Operation: 13+11=24, Resulting Numbers: [64, 50, 24]
Generated Node #0,1: 67:[64, 50, 24] Operation: 13+11=24
Moving to Node #0,0
Current State: 67:[64, 11, 63], Operations: ['13+50=63']
Exploring Operation: 64+11=75, Resulting Numbers: [63, 75]
Generated Node #0,0,0: 67:[63, 75] Operation: 64+11=75
Exploring Operation: 11+63=74, Resulting Numbers: [64, 74]
Generated Node #0,0,1: 67:[64, 74] Operation: 11+63=74
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[64, 74], Operations: ['13+50=63', '11+63=74']
Exploring Operation: 64+74=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[63, 75], Operations: ['13+50=63', '64+11=75']
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 63+75=138, Resulting Numbers: [138]
138,67 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: 67:[64, 50, 24], Operations: ['13+11=24']
Exploring Operation: 50+24=74, Resulting Numbers: [64, 74]
Generated Node #0,1,0: 67:[64, 74] Operation: 50+24=74
Exploring Operation: 64+24=88, Resulting Numbers: [50, 88]
Generated Node #0,1,1: 67:[50, 88] Operation: 64+24=88
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[64, 74], Operations: ['13+11=24', '50+24=74']
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,67 unequal: No Solution
Exploring Operation: 64+74=138, Resulting Numbers: [138]
138,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[50, 88], Operations: ['13+11=24', '64+24=88']
Exploring Operation: 50+88=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,67 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 |
[
57,
23,
43,
28
] | 46 | [
"57-43=14",
"23*28=644",
"644/14=46"
] | Current State: 46:[57, 23, 43, 28], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [23, 28, 14]
Generated Node #2: [23, 28, 14] from Operation: 57-43=14
Current State: 46:[23, 28, 14], Operations: ['57-43=14']
Exploring Operation: 23*28=644, Resulting Numbers: [14, 644]
Generated Node #3: [14, 644] from Operation: 23*28=644
Current State: 46:[14, 644], Operations: ['57-43=14', '23*28=644']
Exploring Operation: 644/14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[57, 23, 43, 28], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [23, 43, 29]
Generated Node #0,0: 46:[23, 43, 29] Operation: 57-28=29
Moving to Node #0,0
Current State: 46:[23, 43, 29], Operations: ['57-28=29']
Exploring Operation: 29-23=6, Resulting Numbers: [43, 6]
Generated Node #0,0,0: 46:[43, 6] Operation: 29-23=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[43, 6], Operations: ['57-28=29', '29-23=6']
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,46 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 |
[
28,
3,
12,
4
] | 19 | [
"3*12=36",
"36/4=9",
"28-9=19"
] | Current State: 19:[28, 3, 12, 4], Operations: []
Exploring Operation: 3*12=36, Resulting Numbers: [28, 4, 36]
Generated Node #2: [28, 4, 36] from Operation: 3*12=36
Current State: 19:[28, 4, 36], Operations: ['3*12=36']
Exploring Operation: 36/4=9, Resulting Numbers: [28, 9]
Generated Node #3: [28, 9] from Operation: 36/4=9
Current State: 19:[28, 9], Operations: ['3*12=36', '36/4=9']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[28, 3, 12, 4], Operations: []
Exploring Operation: 3*4=12, Resulting Numbers: [28, 12, 12]
Generated Node #0,0: 19:[28, 12, 12] Operation: 3*4=12
Moving to Node #0,0
Current State: 19:[28, 12, 12], Operations: ['3*4=12']
Exploring Operation: 28-12=16, Resulting Numbers: [12, 16]
Generated Node #0,0,0: 19:[12, 16] Operation: 28-12=16
Moving to Node #0,0,0
Current State: 19:[12, 16], Operations: ['3*4=12', '28-12=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,19 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
55,
6,
65,
16
] | 20 | [
"55+6=61",
"65+16=81",
"81-61=20"
] | Current State: 20:[55, 6, 65, 16], Operations: []
Exploring Operation: 55+6=61, Resulting Numbers: [65, 16, 61]
Generated Node #2: [65, 16, 61] from Operation: 55+6=61
Current State: 20:[65, 16, 61], Operations: ['55+6=61']
Exploring Operation: 65+16=81, Resulting Numbers: [61, 81]
Generated Node #3: [61, 81] from Operation: 65+16=81
Current State: 20:[61, 81], Operations: ['55+6=61', '65+16=81']
Exploring Operation: 81-61=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[55, 6, 65, 16], Operations: []
Exploring Operation: 65-16=49, Resulting Numbers: [55, 6, 49]
Generated Node #0,0: 20:[55, 6, 49] Operation: 65-16=49
Exploring Operation: 55-16=39, Resulting Numbers: [6, 65, 39]
Generated Node #0,1: 20:[6, 65, 39] Operation: 55-16=39
Exploring Operation: 65-55=10, Resulting Numbers: [6, 16, 10]
Generated Node #0,2: 20:[6, 16, 10] Operation: 65-55=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[6, 16, 10], Operations: ['65-55=10']
Exploring Operation: 16-6=10, Resulting Numbers: [10, 10]
Generated Node #0,2,0: 20:[10, 10] Operation: 16-6=10
Exploring Operation: 6+16=22, Resulting Numbers: [10, 22]
Generated Node #0,2,1: 20:[10, 22] Operation: 6+16=22
Exploring Operation: 16-10=6, Resulting Numbers: [6, 6]
Generated Node #0,2,2: 20:[6, 6] Operation: 16-10=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[10, 10], Operations: ['65-55=10', '16-6=10']
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[55, 6, 65, 16], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [6, 16, 10]
Generated Node #0,2: 20:[6, 16, 10] Operation: 65-55=10
Moving to Node #0,2
Current State: 20:[6, 16, 10], Operations: ['65-55=10']
Exploring Operation: 16-6=10, Resulting Numbers: [10, 10]
Generated Node #0,2,0: 20:[10, 10] Operation: 16-6=10
Moving to Node #0,2,0
Current State: 20:[10, 10], Operations: ['65-55=10', '16-6=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
13,
14,
34,
43
] | 50 | [
"13+14=27",
"34+43=77",
"77-27=50"
] | Current State: 50:[13, 14, 34, 43], Operations: []
Exploring Operation: 13+14=27, Resulting Numbers: [34, 43, 27]
Generated Node #2: [34, 43, 27] from Operation: 13+14=27
Current State: 50:[34, 43, 27], Operations: ['13+14=27']
Exploring Operation: 34+43=77, Resulting Numbers: [27, 77]
Generated Node #3: [27, 77] from Operation: 34+43=77
Current State: 50:[27, 77], Operations: ['13+14=27', '34+43=77']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[13, 14, 34, 43], Operations: []
Exploring Operation: 14+34=48, Resulting Numbers: [13, 43, 48]
Generated Node #0,0: 50:[13, 43, 48] Operation: 14+34=48
Exploring Operation: 43-34=9, Resulting Numbers: [13, 14, 9]
Generated Node #0,1: 50:[13, 14, 9] Operation: 43-34=9
Exploring Operation: 13+34=47, Resulting Numbers: [14, 43, 47]
Generated Node #0,2: 50:[14, 43, 47] Operation: 13+34=47
Exploring Operation: 34-13=21, Resulting Numbers: [14, 43, 21]
Generated Node #0,3: 50:[14, 43, 21] Operation: 34-13=21
Exploring Operation: 34-14=20, Resulting Numbers: [13, 43, 20]
Generated Node #0,4: 50:[13, 43, 20] Operation: 34-14=20
Moving to Node #0,1
Current State: 50:[13, 14, 9], Operations: ['43-34=9']
Exploring Operation: 13-9=4, Resulting Numbers: [14, 4]
Generated Node #0,1,0: 50:[14, 4] Operation: 13-9=4
Exploring Operation: 14-9=5, Resulting Numbers: [13, 5]
Generated Node #0,1,1: 50:[13, 5] Operation: 14-9=5
Exploring Operation: 13+14=27, Resulting Numbers: [9, 27]
Generated Node #0,1,2: 50:[9, 27] Operation: 13+14=27
Exploring Operation: 14-13=1, Resulting Numbers: [9, 1]
Generated Node #0,1,3: 50:[9, 1] Operation: 14-13=1
Exploring Operation: 14+9=23, Resulting Numbers: [13, 23]
Generated Node #0,1,4: 50:[13, 23] Operation: 14+9=23
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 50:[9, 1], Operations: ['43-34=9', '14-13=1']
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[13, 5], Operations: ['43-34=9', '14-9=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,50 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 50:[9, 27], Operations: ['43-34=9', '13+14=27']
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,50 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,50 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[14, 4], Operations: ['43-34=9', '13-9=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 50:[13, 23], Operations: ['43-34=9', '14+9=23']
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,50 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 13*23=299, Resulting Numbers: [299]
299,50 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: 50:[13, 43, 48], Operations: ['14+34=48']
Exploring Operation: 48-13=35, Resulting Numbers: [43, 35]
Generated Node #0,0,0: 50:[43, 35] Operation: 48-13=35
Exploring Operation: 48-43=5, Resulting Numbers: [13, 5]
Generated Node #0,0,1: 50:[13, 5] Operation: 48-43=5
Exploring Operation: 43-13=30, Resulting Numbers: [48, 30]
Generated Node #0,0,2: 50:[48, 30] Operation: 43-13=30
Exploring Operation: 13+43=56, Resulting Numbers: [48, 56]
Generated Node #0,0,3: 50:[48, 56] Operation: 13+43=56
Exploring Operation: 13+48=61, Resulting Numbers: [43, 61]
Generated Node #0,0,4: 50:[43, 61] Operation: 13+48=61
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[13, 5], Operations: ['14+34=48', '48-43=5']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,50 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 #0,0,2
Current State: 50:[48, 30], Operations: ['14+34=48', '43-13=30']
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 48*30=1440, Resulting Numbers: [1440]
1440,50 unequal: No Solution
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,50 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 #0,0,3
Current State: 50:[48, 56], Operations: ['14+34=48', '13+43=56']
Exploring Operation: 48+56=104, Resulting Numbers: [104]
104,50 unequal: No Solution
Exploring Operation: 48*56=2688, Resulting Numbers: [2688]
2688,50 unequal: No Solution
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,50 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 #0,0,0
Current State: 50:[43, 35], Operations: ['14+34=48', '48-13=35']
Exploring Operation: 43+35=78, Resulting Numbers: [78]
78,50 unequal: No Solution
Exploring Operation: 43*35=1505, Resulting Numbers: [1505]
1505,50 unequal: No Solution
Exploring Operation: 43-35=8, Resulting Numbers: [8]
8,50 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 #0,0,4
Current State: 50:[43, 61], Operations: ['14+34=48', '13+48=61']
Exploring Operation: 43*61=2623, Resulting Numbers: [2623]
2623,50 unequal: No Solution
Exploring Operation: 43+61=104, Resulting Numbers: [104]
104,50 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,50 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: 50:[14, 43, 47], Operations: ['13+34=47']
Exploring Operation: 43-14=29, Resulting Numbers: [47, 29]
Generated Node #0,2,0: 50:[47, 29] Operation: 43-14=29
Exploring Operation: 47-43=4, Resulting Numbers: [14, 4]
Generated Node #0,2,1: 50:[14, 4] Operation: 47-43=4
Exploring Operation: 47-14=33, Resulting Numbers: [43, 33]
Generated Node #0,2,2: 50:[43, 33] Operation: 47-14=33
Exploring Operation: 14+43=57, Resulting Numbers: [47, 57]
Generated Node #0,2,3: 50:[47, 57] Operation: 14+43=57
Exploring Operation: 14+47=61, Resulting Numbers: [43, 61]
Generated Node #0,2,4: 50:[43, 61] Operation: 14+47=61
Moving to Node #0,3
Current State: 50:[14, 43, 21], Operations: ['34-13=21']
Exploring Operation: 21-14=7, Resulting Numbers: [43, 7]
Generated Node #0,3,0: 50:[43, 7] Operation: 21-14=7
Exploring Operation: 14+43=57, Resulting Numbers: [21, 57]
Generated Node #0,3,1: 50:[21, 57] Operation: 14+43=57
Exploring Operation: 43-14=29, Resulting Numbers: [21, 29]
Generated Node #0,3,2: 50:[21, 29] Operation: 43-14=29
Exploring Operation: 43-21=22, Resulting Numbers: [14, 22]
Generated Node #0,3,3: 50:[14, 22] Operation: 43-21=22
Exploring Operation: 14+21=35, Resulting Numbers: [43, 35]
Generated Node #0,3,4: 50:[43, 35] Operation: 14+21=35
Moving to Node #0,4
Current State: 50:[13, 43, 20], Operations: ['34-14=20']
Exploring Operation: 43-13=30, Resulting Numbers: [20, 30]
Generated Node #0,4,0: 50:[20, 30] Operation: 43-13=30
Exploring Operation: 43-20=23, Resulting Numbers: [13, 23]
Generated Node #0,4,1: 50:[13, 23] Operation: 43-20=23
Exploring Operation: 13+20=33, Resulting Numbers: [43, 33]
Generated Node #0,4,2: 50:[43, 33] Operation: 13+20=33
Exploring Operation: 13+43=56, Resulting Numbers: [20, 56]
Generated Node #0,4,3: 50:[20, 56] Operation: 13+43=56
Exploring Operation: 20-13=7, Resulting Numbers: [43, 7]
Generated Node #0,4,4: 50:[43, 7] Operation: 20-13=7
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 50:[13, 23], Operations: ['34-14=20', '43-20=23']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 13*23=299, Resulting Numbers: [299]
299,50 unequal: No Solution
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,50 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 #0,4,4
Current State: 50:[43, 7], Operations: ['34-14=20', '20-13=7']
Exploring Operation: 43*7=301, Resulting Numbers: [301]
301,50 unequal: No Solution
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[13, 14, 34, 43], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [13, 43, 20]
Generated Node #0,4: 50:[13, 43, 20] Operation: 34-14=20
Moving to Node #0,4
Current State: 50:[13, 43, 20], Operations: ['34-14=20']
Exploring Operation: 20-13=7, Resulting Numbers: [43, 7]
Generated Node #0,4,4: 50:[43, 7] Operation: 20-13=7
Moving to Node #0,4,4
Current State: 50:[43, 7], Operations: ['34-14=20', '20-13=7']
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.938368 | hs_5 | sum_heuristic |
[
78,
43,
30,
6
] | 25 | [
"78+30=108",
"108/6=18",
"43-18=25"
] | Current State: 25:[78, 43, 30, 6], Operations: []
Exploring Operation: 78+30=108, Resulting Numbers: [43, 6, 108]
Generated Node #2: [43, 6, 108] from Operation: 78+30=108
Current State: 25:[43, 6, 108], Operations: ['78+30=108']
Exploring Operation: 108/6=18, Resulting Numbers: [43, 18]
Generated Node #3: [43, 18] from Operation: 108/6=18
Current State: 25:[43, 18], Operations: ['78+30=108', '108/6=18']
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[78, 43, 30, 6], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [78, 6, 13]
Generated Node #0,0: 25:[78, 6, 13] Operation: 43-30=13
Exploring Operation: 78/6=13, Resulting Numbers: [43, 30, 13]
Generated Node #0,1: 25:[43, 30, 13] Operation: 78/6=13
Exploring Operation: 78-43=35, Resulting Numbers: [30, 6, 35]
Generated Node #0,2: 25:[30, 6, 35] Operation: 78-43=35
Exploring Operation: 78-30=48, Resulting Numbers: [43, 6, 48]
Generated Node #0,3: 25:[43, 6, 48] Operation: 78-30=48
Moving to Node #0,2
Current State: 25:[30, 6, 35], Operations: ['78-43=35']
Exploring Operation: 35-6=29, Resulting Numbers: [30, 29]
Generated Node #0,2,0: 25:[30, 29] Operation: 35-6=29
Exploring Operation: 30-6=24, Resulting Numbers: [35, 24]
Generated Node #0,2,1: 25:[35, 24] Operation: 30-6=24
Exploring Operation: 35-30=5, Resulting Numbers: [6, 5]
Generated Node #0,2,2: 25:[6, 5] Operation: 35-30=5
Exploring Operation: 30/6=5, Resulting Numbers: [35, 5]
Generated Node #0,2,3: 25:[35, 5] Operation: 30/6=5
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[6, 5], Operations: ['78-43=35', '35-30=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 25:[30, 29], Operations: ['78-43=35', '35-6=29']
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,25 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 25:[35, 5], Operations: ['78-43=35', '30/6=5']
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,25 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,25 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 25:[35, 24], Operations: ['78-43=35', '30-6=24']
Exploring Operation: 35*24=840, Resulting Numbers: [840]
840,25 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,25 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: 25:[43, 30, 13], Operations: ['78/6=13']
Exploring Operation: 43-30=13, Resulting Numbers: [13, 13]
Generated Node #0,1,0: 25:[13, 13] Operation: 43-30=13
Exploring Operation: 43-13=30, Resulting Numbers: [30, 30]
Generated Node #0,1,1: 25:[30, 30] Operation: 43-13=30
Exploring Operation: 30-13=17, Resulting Numbers: [43, 17]
Generated Node #0,1,2: 25:[43, 17] Operation: 30-13=17
Exploring Operation: 43+13=56, Resulting Numbers: [30, 56]
Generated Node #0,1,3: 25:[30, 56] Operation: 43+13=56
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[30, 30], Operations: ['78/6=13', '43-13=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,25 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[13, 13], Operations: ['78/6=13', '43-30=13']
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 13-13=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 13*13=169, Resulting Numbers: [169]
169,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[43, 17], Operations: ['78/6=13', '30-13=17']
Exploring Operation: 43*17=731, Resulting Numbers: [731]
731,25 unequal: No Solution
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[30, 56], Operations: ['78/6=13', '43+13=56']
Exploring Operation: 30*56=1680, Resulting Numbers: [1680]
1680,25 unequal: No Solution
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 30+56=86, Resulting Numbers: [86]
86,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 25:[43, 6, 48], Operations: ['78-30=48']
Exploring Operation: 48-43=5, Resulting Numbers: [6, 5]
Generated Node #0,3,0: 25:[6, 5] Operation: 48-43=5
Exploring Operation: 43-6=37, Resulting Numbers: [48, 37]
Generated Node #0,3,1: 25:[48, 37] Operation: 43-6=37
Exploring Operation: 48/6=8, Resulting Numbers: [43, 8]
Generated Node #0,3,2: 25:[43, 8] Operation: 48/6=8
Exploring Operation: 48-6=42, Resulting Numbers: [43, 42]
Generated Node #0,3,3: 25:[43, 42] Operation: 48-6=42
Moving to Node #0,0
Current State: 25:[78, 6, 13], Operations: ['43-30=13']
Exploring Operation: 78-6=72, Resulting Numbers: [13, 72]
Generated Node #0,0,0: 25:[13, 72] Operation: 78-6=72
Exploring Operation: 78-13=65, Resulting Numbers: [6, 65]
Generated Node #0,0,1: 25:[6, 65] Operation: 78-13=65
Exploring Operation: 78/13=6, Resulting Numbers: [6, 6]
Generated Node #0,0,2: 25:[6, 6] Operation: 78/13=6
Exploring Operation: 78/6=13, Resulting Numbers: [13, 13]
Generated Node #0,0,3: 25:[13, 13] Operation: 78/6=13
Moving to Node #0,3,0
Current State: 25:[6, 5], Operations: ['78-30=48', '48-43=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[6, 6], Operations: ['43-30=13', '78/13=6']
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[13, 13], Operations: ['43-30=13', '78/6=13']
Exploring Operation: 13-13=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 13*13=169, Resulting Numbers: [169]
169,25 unequal: No Solution
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[43, 8], Operations: ['78-30=48', '48/6=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,25 unequal: No Solution
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[48, 37], Operations: ['78-30=48', '43-6=37']
Exploring Operation: 48+37=85, Resulting Numbers: [85]
85,25 unequal: No Solution
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 48*37=1776, Resulting Numbers: [1776]
1776,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[43, 42], Operations: ['78-30=48', '48-6=42']
Exploring Operation: 43+42=85, Resulting Numbers: [85]
85,25 unequal: No Solution
Exploring Operation: 43*42=1806, Resulting Numbers: [1806]
1806,25 unequal: No Solution
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[6, 65], Operations: ['43-30=13', '78-13=65']
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,25 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[13, 72], Operations: ['43-30=13', '78-6=72']
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,25 unequal: No Solution
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 13*72=936, Resulting Numbers: [936]
936,25 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
65,
65,
24,
82
] | 58 | [
"65-65=0",
"82-24=58",
"0+58=58"
] | Current State: 58:[65, 65, 24, 82], Operations: []
Exploring Operation: 65-65=0, Resulting Numbers: [24, 82, 0]
Generated Node #2: [24, 82, 0] from Operation: 65-65=0
Current State: 58:[24, 82, 0], Operations: ['65-65=0']
Exploring Operation: 82-24=58, Resulting Numbers: [0, 58]
Generated Node #3: [0, 58] from Operation: 82-24=58
Current State: 58:[0, 58], Operations: ['65-65=0', '82-24=58']
Exploring Operation: 0+58=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[65, 65, 24, 82], Operations: []
Exploring Operation: 82-24=58, Resulting Numbers: [65, 65, 58]
Generated Node #0,0: 58:[65, 65, 58] Operation: 82-24=58
Moving to Node #0,0
Current State: 58:[65, 65, 58], Operations: ['82-24=58']
Exploring Operation: 65/65=1, Resulting Numbers: [58, 1]
Generated Node #0,0,0: 58:[58, 1] Operation: 65/65=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[58, 1], Operations: ['82-24=58', '65/65=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[65, 65, 24, 82], Operations: []
Exploring Operation: 82-24=58, Resulting Numbers: [65, 65, 58]
Generated Node #0,0: 58:[65, 65, 58] Operation: 82-24=58
Moving to Node #0,0
Current State: 58:[65, 65, 58], Operations: ['82-24=58']
Exploring Operation: 65/65=1, Resulting Numbers: [58, 1]
Generated Node #0,0,0: 58:[58, 1] Operation: 65/65=1
Moving to Node #0,0,0
Current State: 58:[58, 1], Operations: ['82-24=58', '65/65=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
66,
68,
60,
96
] | 98 | [
"66+68=134",
"96-60=36",
"134-36=98"
] | Current State: 98:[66, 68, 60, 96], Operations: []
Exploring Operation: 66+68=134, Resulting Numbers: [60, 96, 134]
Generated Node #2: [60, 96, 134] from Operation: 66+68=134
Current State: 98:[60, 96, 134], Operations: ['66+68=134']
Exploring Operation: 96-60=36, Resulting Numbers: [134, 36]
Generated Node #3: [134, 36] from Operation: 96-60=36
Current State: 98:[134, 36], Operations: ['66+68=134', '96-60=36']
Exploring Operation: 134-36=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[66, 68, 60, 96], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [60, 96, 2]
Generated Node #0,0: 98:[60, 96, 2] Operation: 68-66=2
Moving to Node #0,0
Current State: 98:[60, 96, 2], Operations: ['68-66=2']
Exploring Operation: 60-2=58, Resulting Numbers: [96, 58]
Generated Node #0,0,0: 98:[96, 58] Operation: 60-2=58
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[96, 58], Operations: ['68-66=2', '60-2=58']
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
94,
13,
74,
90
] | 22 | [
"94-90=4",
"13*4=52",
"74-52=22"
] | Current State: 22:[94, 13, 74, 90], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [13, 74, 4]
Generated Node #2: [13, 74, 4] from Operation: 94-90=4
Current State: 22:[13, 74, 4], Operations: ['94-90=4']
Exploring Operation: 13*4=52, Resulting Numbers: [74, 52]
Generated Node #3: [74, 52] from Operation: 13*4=52
Current State: 22:[74, 52], Operations: ['94-90=4', '13*4=52']
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[94, 13, 74, 90], Operations: []
Exploring Operation: 74-13=61, Resulting Numbers: [94, 90, 61]
Generated Node #0,0: 22:[94, 90, 61] Operation: 74-13=61
Exploring Operation: 94-13=81, Resulting Numbers: [74, 90, 81]
Generated Node #0,1: 22:[74, 90, 81] Operation: 94-13=81
Exploring Operation: 94-90=4, Resulting Numbers: [13, 74, 4]
Generated Node #0,2: 22:[13, 74, 4] Operation: 94-90=4
Exploring Operation: 90-74=16, Resulting Numbers: [94, 13, 16]
Generated Node #0,3: 22:[94, 13, 16] Operation: 90-74=16
Exploring Operation: 94-74=20, Resulting Numbers: [13, 90, 20]
Generated Node #0,4: 22:[13, 90, 20] Operation: 94-74=20
Moving to Node #0,2
Current State: 22:[13, 74, 4], Operations: ['94-90=4']
Exploring Operation: 74+4=78, Resulting Numbers: [13, 78]
Generated Node #0,2,0: 22:[13, 78] Operation: 74+4=78
Exploring Operation: 13+4=17, Resulting Numbers: [74, 17]
Generated Node #0,2,1: 22:[74, 17] Operation: 13+4=17
Exploring Operation: 74-13=61, Resulting Numbers: [4, 61]
Generated Node #0,2,2: 22:[4, 61] Operation: 74-13=61
Exploring Operation: 13-4=9, Resulting Numbers: [74, 9]
Generated Node #0,2,3: 22:[74, 9] Operation: 13-4=9
Exploring Operation: 74-4=70, Resulting Numbers: [13, 70]
Generated Node #0,2,4: 22:[13, 70] Operation: 74-4=70
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 22:[4, 61], Operations: ['94-90=4', '74-13=61']
Exploring Operation: 4*61=244, Resulting Numbers: [244]
244,22 unequal: No Solution
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,22 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 #0,2,4
Current State: 22:[13, 70], Operations: ['94-90=4', '74-4=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,22 unequal: No Solution
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 13*70=910, Resulting Numbers: [910]
910,22 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:[74, 9], Operations: ['94-90=4', '13-4=9']
Exploring Operation: 74*9=666, Resulting Numbers: [666]
666,22 unequal: No Solution
Exploring Operation: 74+9=83, Resulting Numbers: [83]
83,22 unequal: No Solution
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 22:[74, 17], Operations: ['94-90=4', '13+4=17']
Exploring Operation: 74*17=1258, Resulting Numbers: [1258]
1258,22 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 74+17=91, Resulting Numbers: [91]
91,22 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:[13, 78], Operations: ['94-90=4', '74+4=78']
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 13+78=91, Resulting Numbers: [91]
91,22 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 13*78=1014, Resulting Numbers: [1014]
1014,22 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: 22:[13, 90, 20], Operations: ['94-74=20']
Exploring Operation: 90-20=70, Resulting Numbers: [13, 70]
Generated Node #0,4,0: 22:[13, 70] Operation: 90-20=70
Exploring Operation: 90-13=77, Resulting Numbers: [20, 77]
Generated Node #0,4,1: 22:[20, 77] Operation: 90-13=77
Exploring Operation: 13+20=33, Resulting Numbers: [90, 33]
Generated Node #0,4,2: 22:[90, 33] Operation: 13+20=33
Exploring Operation: 20-13=7, Resulting Numbers: [90, 7]
Generated Node #0,4,3: 22:[90, 7] Operation: 20-13=7
Exploring Operation: 13+90=103, Resulting Numbers: [20, 103]
Generated Node #0,4,4: 22:[20, 103] Operation: 13+90=103
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 22:[13, 70], Operations: ['94-74=20', '90-20=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,22 unequal: No Solution
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 13*70=910, Resulting Numbers: [910]
910,22 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 #0,4,1
Current State: 22:[20, 77], Operations: ['94-74=20', '90-13=77']
Exploring Operation: 20+77=97, Resulting Numbers: [97]
97,22 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 20*77=1540, Resulting Numbers: [1540]
1540,22 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 #0,4,3
Current State: 22:[90, 7], Operations: ['94-74=20', '20-13=7']
Exploring Operation: 90*7=630, Resulting Numbers: [630]
630,22 unequal: No Solution
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,22 unequal: No Solution
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,22 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 #0,4,2
Current State: 22:[90, 33], Operations: ['94-74=20', '13+20=33']
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 90+33=123, Resulting Numbers: [123]
123,22 unequal: No Solution
Exploring Operation: 90*33=2970, Resulting Numbers: [2970]
2970,22 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 #0,4,4
Current State: 22:[20, 103], Operations: ['94-74=20', '13+90=103']
Exploring Operation: 103-20=83, Resulting Numbers: [83]
83,22 unequal: No Solution
Exploring Operation: 20*103=2060, Resulting Numbers: [2060]
2060,22 unequal: No Solution
Exploring Operation: 20+103=123, Resulting Numbers: [123]
123,22 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:[94, 13, 16], Operations: ['90-74=16']
Exploring Operation: 13+16=29, Resulting Numbers: [94, 29]
Generated Node #0,3,0: 22:[94, 29] Operation: 13+16=29
Exploring Operation: 16-13=3, Resulting Numbers: [94, 3]
Generated Node #0,3,1: 22:[94, 3] Operation: 16-13=3
Exploring Operation: 94+13=107, Resulting Numbers: [16, 107]
Generated Node #0,3,2: 22:[16, 107] Operation: 94+13=107
Exploring Operation: 94-16=78, Resulting Numbers: [13, 78]
Generated Node #0,3,3: 22:[13, 78] Operation: 94-16=78
Exploring Operation: 94-13=81, Resulting Numbers: [16, 81]
Generated Node #0,3,4: 22:[16, 81] Operation: 94-13=81
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 22:[13, 78], Operations: ['90-74=16', '94-16=78']
Exploring Operation: 13+78=91, Resulting Numbers: [91]
91,22 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 13*78=1014, Resulting Numbers: [1014]
1014,22 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,22 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 #0,3,4
Current State: 22:[16, 81], Operations: ['90-74=16', '94-13=81']
Exploring Operation: 16+81=97, Resulting Numbers: [97]
97,22 unequal: No Solution
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 16*81=1296, Resulting Numbers: [1296]
1296,22 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 #0,3,1
Current State: 22:[94, 3], Operations: ['90-74=16', '16-13=3']
Exploring Operation: 94*3=282, Resulting Numbers: [282]
282,22 unequal: No Solution
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,22 unequal: No Solution
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,22 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 #0,3,0
Current State: 22:[94, 29], Operations: ['90-74=16', '13+16=29']
Exploring Operation: 94+29=123, Resulting Numbers: [123]
123,22 unequal: No Solution
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 94*29=2726, Resulting Numbers: [2726]
2726,22 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 #0,3,2
Current State: 22:[16, 107], Operations: ['90-74=16', '94+13=107']
Exploring Operation: 107-16=91, Resulting Numbers: [91]
91,22 unequal: No Solution
Exploring Operation: 16*107=1712, Resulting Numbers: [1712]
1712,22 unequal: No Solution
Exploring Operation: 16+107=123, Resulting Numbers: [123]
123,22 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:[94, 90, 61], Operations: ['74-13=61']
Exploring Operation: 94+61=155, Resulting Numbers: [90, 155]
Generated Node #0,0,0: 22:[90, 155] Operation: 94+61=155
Exploring Operation: 90-61=29, Resulting Numbers: [94, 29]
Generated Node #0,0,1: 22:[94, 29] Operation: 90-61=29
Exploring Operation: 94+90=184, Resulting Numbers: [61, 184]
Generated Node #0,0,2: 22:[61, 184] Operation: 94+90=184
Exploring Operation: 94-61=33, Resulting Numbers: [90, 33]
Generated Node #0,0,3: 22:[90, 33] Operation: 94-61=33
Exploring Operation: 94-90=4, Resulting Numbers: [61, 4]
Generated Node #0,0,4: 22:[61, 4] Operation: 94-90=4
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 22:[61, 4], Operations: ['74-13=61', '94-90=4']
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 61*4=244, Resulting Numbers: [244]
244,22 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:[94, 29], Operations: ['74-13=61', '90-61=29']
Exploring Operation: 94*29=2726, Resulting Numbers: [2726]
2726,22 unequal: No Solution
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 94+29=123, Resulting Numbers: [123]
123,22 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:[90, 33], Operations: ['74-13=61', '94-61=33']
Exploring Operation: 90*33=2970, Resulting Numbers: [2970]
2970,22 unequal: No Solution
Exploring Operation: 90+33=123, Resulting Numbers: [123]
123,22 unequal: No Solution
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,22 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:[90, 155], Operations: ['74-13=61', '94+61=155']
Exploring Operation: 155-90=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 90+155=245, Resulting Numbers: [245]
245,22 unequal: No Solution
Exploring Operation: 90*155=13950, Resulting Numbers: [13950]
13950,22 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:[61, 184], Operations: ['74-13=61', '94+90=184']
Exploring Operation: 61*184=11224, Resulting Numbers: [11224]
11224,22 unequal: No Solution
Exploring Operation: 184-61=123, Resulting Numbers: [123]
123,22 unequal: No Solution
Exploring Operation: 61+184=245, Resulting Numbers: [245]
245,22 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:[74, 90, 81], Operations: ['94-13=81']
Exploring Operation: 90-74=16, Resulting Numbers: [81, 16]
Generated Node #0,1,0: 22:[81, 16] Operation: 90-74=16
Exploring Operation: 81-74=7, Resulting Numbers: [90, 7]
Generated Node #0,1,1: 22:[90, 7] Operation: 81-74=7
Exploring Operation: 74+90=164, Resulting Numbers: [81, 164]
Generated Node #0,1,2: 22:[81, 164] Operation: 74+90=164
Exploring Operation: 74+81=155, Resulting Numbers: [90, 155]
Generated Node #0,1,3: 22:[90, 155] Operation: 74+81=155
Exploring Operation: 90-81=9, Resulting Numbers: [74, 9]
Generated Node #0,1,4: 22:[74, 9] Operation: 90-81=9
Moving to Node #0,1,4
Current State: 22:[74, 9], Operations: ['94-13=81', '90-81=9']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 74*9=666, Resulting Numbers: [666]
666,22 unequal: No Solution
Exploring Operation: 74+9=83, Resulting Numbers: [83]
83,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[81, 16], Operations: ['94-13=81', '90-74=16']
Exploring Operation: 81+16=97, Resulting Numbers: [97]
97,22 unequal: No Solution
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 81*16=1296, Resulting Numbers: [1296]
1296,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[90, 7], Operations: ['94-13=81', '81-74=7']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,22 unequal: No Solution
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,22 unequal: No Solution
Exploring Operation: 90*7=630, Resulting Numbers: [630]
630,22 unequal: No Solution
Moving to Node #0,1,2
Current State: 22:[81, 164], Operations: ['94-13=81', '74+90=164']
Exploring Operation: 164-81=83, Resulting Numbers: [83]
83,22 unequal: No Solution
Exploring Operation: 81*164=13284, Resulting Numbers: [13284]
13284,22 unequal: No Solution
Exploring Operation: 81+164=245, Resulting Numbers: [245]
245,22 unequal: No Solution
Moving to Node #0,1,3
Current State: 22:[90, 155], Operations: ['94-13=81', '74+81=155']
Exploring Operation: 155-90=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 90*155=13950, Resulting Numbers: [13950]
13950,22 unequal: No Solution
Exploring Operation: 90+155=245, Resulting Numbers: [245]
245,22 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
82,
16,
11,
60
] | 78 | [
"60-16=44",
"44/11=4",
"82-4=78"
] | Current State: 78:[82, 16, 11, 60], Operations: []
Exploring Operation: 60-16=44, Resulting Numbers: [82, 11, 44]
Generated Node #2: [82, 11, 44] from Operation: 60-16=44
Current State: 78:[82, 11, 44], Operations: ['60-16=44']
Exploring Operation: 44/11=4, Resulting Numbers: [82, 4]
Generated Node #3: [82, 4] from Operation: 44/11=4
Current State: 78:[82, 4], Operations: ['60-16=44', '44/11=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[82, 16, 11, 60], Operations: []
Exploring Operation: 60-16=44, Resulting Numbers: [82, 11, 44]
Generated Node #0,0: 78:[82, 11, 44] Operation: 60-16=44
Exploring Operation: 82-60=22, Resulting Numbers: [16, 11, 22]
Generated Node #0,1: 78:[16, 11, 22] Operation: 82-60=22
Exploring Operation: 11+60=71, Resulting Numbers: [82, 16, 71]
Generated Node #0,2: 78:[82, 16, 71] Operation: 11+60=71
Exploring Operation: 16+60=76, Resulting Numbers: [82, 11, 76]
Generated Node #0,3: 78:[82, 11, 76] Operation: 16+60=76
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[82, 11, 76], Operations: ['16+60=76']
Exploring Operation: 82-76=6, Resulting Numbers: [11, 6]
Generated Node #0,3,0: 78:[11, 6] Operation: 82-76=6
Exploring Operation: 11+76=87, Resulting Numbers: [82, 87]
Generated Node #0,3,1: 78:[82, 87] Operation: 11+76=87
Exploring Operation: 82-11=71, Resulting Numbers: [76, 71]
Generated Node #0,3,2: 78:[76, 71] Operation: 82-11=71
Exploring Operation: 82+11=93, Resulting Numbers: [76, 93]
Generated Node #0,3,3: 78:[76, 93] Operation: 82+11=93
Moving to Node #0,3,0
Current State: 78:[11, 6], Operations: ['16+60=76', '82-76=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[76, 71], Operations: ['16+60=76', '82-11=71']
Exploring Operation: 76+71=147, Resulting Numbers: [147]
147,78 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 76*71=5396, Resulting Numbers: [5396]
5396,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[82, 87], Operations: ['16+60=76', '11+76=87']
Exploring Operation: 87-82=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 82*87=7134, Resulting Numbers: [7134]
7134,78 unequal: No Solution
Exploring Operation: 82+87=169, Resulting Numbers: [169]
169,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[76, 93], Operations: ['16+60=76', '82+11=93']
Exploring Operation: 76*93=7068, Resulting Numbers: [7068]
7068,78 unequal: No Solution
Exploring Operation: 76+93=169, Resulting Numbers: [169]
169,78 unequal: No Solution
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[16, 11, 22], Operations: ['82-60=22']
Exploring Operation: 16+22=38, Resulting Numbers: [11, 38]
Generated Node #0,1,0: 78:[11, 38] Operation: 16+22=38
Exploring Operation: 16+11=27, Resulting Numbers: [22, 27]
Generated Node #0,1,1: 78:[22, 27] Operation: 16+11=27
Exploring Operation: 22-16=6, Resulting Numbers: [11, 6]
Generated Node #0,1,2: 78:[11, 6] Operation: 22-16=6
Exploring Operation: 22/11=2, Resulting Numbers: [16, 2]
Generated Node #0,1,3: 78:[16, 2] Operation: 22/11=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 78:[11, 6], Operations: ['82-60=22', '22-16=6']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[11, 38], Operations: ['82-60=22', '16+22=38']
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Exploring Operation: 11*38=418, Resulting Numbers: [418]
418,78 unequal: No Solution
Exploring Operation: 11+38=49, Resulting Numbers: [49]
49,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 78:[16, 2], Operations: ['82-60=22', '22/11=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,78 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[22, 27], Operations: ['82-60=22', '16+11=27']
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,78 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[82, 11, 44], Operations: ['60-16=44']
Exploring Operation: 44-11=33, Resulting Numbers: [82, 33]
Generated Node #0,0,0: 78:[82, 33] Operation: 44-11=33
Exploring Operation: 82-11=71, Resulting Numbers: [44, 71]
Generated Node #0,0,1: 78:[44, 71] Operation: 82-11=71
Exploring Operation: 44/11=4, Resulting Numbers: [82, 4]
Generated Node #0,0,2: 78:[82, 4] Operation: 44/11=4
Exploring Operation: 82-44=38, Resulting Numbers: [11, 38]
Generated Node #0,0,3: 78:[11, 38] Operation: 82-44=38
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 78:[11, 38], Operations: ['60-16=44', '82-44=38']
Exploring Operation: 11*38=418, Resulting Numbers: [418]
418,78 unequal: No Solution
Exploring Operation: 11+38=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[82, 4], Operations: ['60-16=44', '44/11=4']
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,78 unequal: No Solution
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,78 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[82, 16, 11, 60], Operations: []
Exploring Operation: 60-16=44, Resulting Numbers: [82, 11, 44]
Generated Node #0,0: 78:[82, 11, 44] Operation: 60-16=44
Moving to Node #0,0
Current State: 78:[82, 11, 44], Operations: ['60-16=44']
Exploring Operation: 44/11=4, Resulting Numbers: [82, 4]
Generated Node #0,0,2: 78:[82, 4] Operation: 44/11=4
Moving to Node #0,0,2
Current State: 78:[82, 4], Operations: ['60-16=44', '44/11=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.955729 | hs_4 | mult_heuristic |
[
1,
99,
50,
62
] | 86 | [
"99-1=98",
"62-50=12",
"98-12=86"
] | Current State: 86:[1, 99, 50, 62], Operations: []
Exploring Operation: 99-1=98, Resulting Numbers: [50, 62, 98]
Generated Node #2: [50, 62, 98] from Operation: 99-1=98
Current State: 86:[50, 62, 98], Operations: ['99-1=98']
Exploring Operation: 62-50=12, Resulting Numbers: [98, 12]
Generated Node #3: [98, 12] from Operation: 62-50=12
Current State: 86:[98, 12], Operations: ['99-1=98', '62-50=12']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[1, 99, 50, 62], Operations: []
Exploring Operation: 99-62=37, Resulting Numbers: [1, 50, 37]
Generated Node #0,0: 86:[1, 50, 37] Operation: 99-62=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[1, 50, 37], Operations: ['99-62=37']
Exploring Operation: 50+37=87, Resulting Numbers: [1, 87]
Generated Node #0,0,0: 86:[1, 87] Operation: 50+37=87
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[1, 87], Operations: ['99-62=37', '50+37=87']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[1, 99, 50, 62], Operations: []
Exploring Operation: 99-62=37, Resulting Numbers: [1, 50, 37]
Generated Node #0,0: 86:[1, 50, 37] Operation: 99-62=37
Moving to Node #0,0
Current State: 86:[1, 50, 37], Operations: ['99-62=37']
Exploring Operation: 50+37=87, Resulting Numbers: [1, 87]
Generated Node #0,0,0: 86:[1, 87] Operation: 50+37=87
Moving to Node #0,0,0
Current State: 86:[1, 87], Operations: ['99-62=37', '50+37=87']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
89,
60,
85,
40
] | 80 | [
"89-85=4",
"60-40=20",
"4*20=80"
] | Current State: 80:[89, 60, 85, 40], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [60, 40, 4]
Generated Node #2: [60, 40, 4] from Operation: 89-85=4
Current State: 80:[60, 40, 4], Operations: ['89-85=4']
Exploring Operation: 60-40=20, Resulting Numbers: [4, 20]
Generated Node #3: [4, 20] from Operation: 60-40=20
Current State: 80:[4, 20], Operations: ['89-85=4', '60-40=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[89, 60, 85, 40], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [60, 40, 4]
Generated Node #0,0: 80:[60, 40, 4] Operation: 89-85=4
Exploring Operation: 60-40=20, Resulting Numbers: [89, 85, 20]
Generated Node #0,1: 80:[89, 85, 20] Operation: 60-40=20
Exploring Operation: 89-40=49, Resulting Numbers: [60, 85, 49]
Generated Node #0,2: 80:[60, 85, 49] Operation: 89-40=49
Exploring Operation: 89-60=29, Resulting Numbers: [85, 40, 29]
Generated Node #0,3: 80:[85, 40, 29] Operation: 89-60=29
Exploring Operation: 85-60=25, Resulting Numbers: [89, 40, 25]
Generated Node #0,4: 80:[89, 40, 25] Operation: 85-60=25
Moving to Node #0,1
Current State: 80:[89, 85, 20], Operations: ['60-40=20']
Exploring Operation: 89-85=4, Resulting Numbers: [20, 4]
Generated Node #0,1,0: 80:[20, 4] Operation: 89-85=4
Exploring Operation: 89+20=109, Resulting Numbers: [85, 109]
Generated Node #0,1,1: 80:[85, 109] Operation: 89+20=109
Exploring Operation: 85-20=65, Resulting Numbers: [89, 65]
Generated Node #0,1,2: 80:[89, 65] Operation: 85-20=65
Exploring Operation: 89-20=69, Resulting Numbers: [85, 69]
Generated Node #0,1,3: 80:[85, 69] Operation: 89-20=69
Exploring Operation: 85+20=105, Resulting Numbers: [89, 105]
Generated Node #0,1,4: 80:[89, 105] Operation: 85+20=105
Moving to Node #0,4
Current State: 80:[89, 40, 25], Operations: ['85-60=25']
Exploring Operation: 40+25=65, Resulting Numbers: [89, 65]
Generated Node #0,4,0: 80:[89, 65] Operation: 40+25=65
Exploring Operation: 89+25=114, Resulting Numbers: [40, 114]
Generated Node #0,4,1: 80:[40, 114] Operation: 89+25=114
Exploring Operation: 89-40=49, Resulting Numbers: [25, 49]
Generated Node #0,4,2: 80:[25, 49] Operation: 89-40=49
Exploring Operation: 40-25=15, Resulting Numbers: [89, 15]
Generated Node #0,4,3: 80:[89, 15] Operation: 40-25=15
Exploring Operation: 89-25=64, Resulting Numbers: [40, 64]
Generated Node #0,4,4: 80:[40, 64] Operation: 89-25=64
Moving to Node #0,3
Current State: 80:[85, 40, 29], Operations: ['89-60=29']
Exploring Operation: 85-29=56, Resulting Numbers: [40, 56]
Generated Node #0,3,0: 80:[40, 56] Operation: 85-29=56
Exploring Operation: 85+29=114, Resulting Numbers: [40, 114]
Generated Node #0,3,1: 80:[40, 114] Operation: 85+29=114
Exploring Operation: 40-29=11, Resulting Numbers: [85, 11]
Generated Node #0,3,2: 80:[85, 11] Operation: 40-29=11
Exploring Operation: 85-40=45, Resulting Numbers: [29, 45]
Generated Node #0,3,3: 80:[29, 45] Operation: 85-40=45
Exploring Operation: 40+29=69, Resulting Numbers: [85, 69]
Generated Node #0,3,4: 80:[85, 69] Operation: 40+29=69
Moving to Node #0,0
Current State: 80:[60, 40, 4], Operations: ['89-85=4']
Exploring Operation: 60/4=15, Resulting Numbers: [40, 15]
Generated Node #0,0,0: 80:[40, 15] Operation: 60/4=15
Exploring Operation: 60-40=20, Resulting Numbers: [4, 20]
Generated Node #0,0,1: 80:[4, 20] Operation: 60-40=20
Exploring Operation: 60+4=64, Resulting Numbers: [40, 64]
Generated Node #0,0,2: 80:[40, 64] Operation: 60+4=64
Exploring Operation: 60+40=100, Resulting Numbers: [4, 100]
Generated Node #0,0,3: 80:[4, 100] Operation: 60+40=100
Exploring Operation: 60-4=56, Resulting Numbers: [40, 56]
Generated Node #0,0,4: 80:[40, 56] Operation: 60-4=56
Moving to Node #0,2
Current State: 80:[60, 85, 49], Operations: ['89-40=49']
Exploring Operation: 60-49=11, Resulting Numbers: [85, 11]
Generated Node #0,2,0: 80:[85, 11] Operation: 60-49=11
Exploring Operation: 60+49=109, Resulting Numbers: [85, 109]
Generated Node #0,2,1: 80:[85, 109] Operation: 60+49=109
Exploring Operation: 60+85=145, Resulting Numbers: [49, 145]
Generated Node #0,2,2: 80:[49, 145] Operation: 60+85=145
Exploring Operation: 85-60=25, Resulting Numbers: [49, 25]
Generated Node #0,2,3: 80:[49, 25] Operation: 85-60=25
Exploring Operation: 85-49=36, Resulting Numbers: [60, 36]
Generated Node #0,2,4: 80:[60, 36] Operation: 85-49=36
Moving to Node #0,1,0
Current State: 80:[20, 4], Operations: ['60-40=20', '89-85=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[89, 60, 85, 40], Operations: []
Exploring Operation: 60-40=20, Resulting Numbers: [89, 85, 20]
Generated Node #0,1: 80:[89, 85, 20] Operation: 60-40=20
Moving to Node #0,1
Current State: 80:[89, 85, 20], Operations: ['60-40=20']
Exploring Operation: 89-85=4, Resulting Numbers: [20, 4]
Generated Node #0,1,0: 80:[20, 4] Operation: 89-85=4
Moving to Node #0,1,0
Current State: 80:[20, 4], Operations: ['60-40=20', '89-85=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.967882 | hs_5 | mult_heuristic |
[
26,
51,
65,
2
] | 33 | [
"65-51=14",
"14/2=7",
"26+7=33"
] | Current State: 33:[26, 51, 65, 2], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [26, 2, 14]
Generated Node #2: [26, 2, 14] from Operation: 65-51=14
Current State: 33:[26, 2, 14], Operations: ['65-51=14']
Exploring Operation: 14/2=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 14/2=7
Current State: 33:[26, 7], Operations: ['65-51=14', '14/2=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[26, 51, 65, 2], Operations: []
Exploring Operation: 51-26=25, Resulting Numbers: [65, 2, 25]
Generated Node #0,0: 33:[65, 2, 25] Operation: 51-26=25
Exploring Operation: 26/2=13, Resulting Numbers: [51, 65, 13]
Generated Node #0,1: 33:[51, 65, 13] Operation: 26/2=13
Exploring Operation: 65-51=14, Resulting Numbers: [26, 2, 14]
Generated Node #0,2: 33:[26, 2, 14] Operation: 65-51=14
Exploring Operation: 65-26=39, Resulting Numbers: [51, 2, 39]
Generated Node #0,3: 33:[51, 2, 39] Operation: 65-26=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[26, 2, 14], Operations: ['65-51=14']
Exploring Operation: 26+2=28, Resulting Numbers: [14, 28]
Generated Node #0,2,0: 33:[14, 28] Operation: 26+2=28
Exploring Operation: 26-14=12, Resulting Numbers: [2, 12]
Generated Node #0,2,1: 33:[2, 12] Operation: 26-14=12
Exploring Operation: 26/2=13, Resulting Numbers: [14, 13]
Generated Node #0,2,2: 33:[14, 13] Operation: 26/2=13
Exploring Operation: 26+14=40, Resulting Numbers: [2, 40]
Generated Node #0,2,3: 33:[2, 40] Operation: 26+14=40
Moving to Node #0,2,1
Current State: 33:[2, 12], Operations: ['65-51=14', '26-14=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,33 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[14, 13], Operations: ['65-51=14', '26/2=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[2, 40], Operations: ['65-51=14', '26+14=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,33 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[14, 28], Operations: ['65-51=14', '26+2=28']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[51, 2, 39], Operations: ['65-26=39']
Exploring Operation: 39-2=37, Resulting Numbers: [51, 37]
Generated Node #0,3,0: 33:[51, 37] Operation: 39-2=37
Exploring Operation: 51+2=53, Resulting Numbers: [39, 53]
Generated Node #0,3,1: 33:[39, 53] Operation: 51+2=53
Exploring Operation: 51-2=49, Resulting Numbers: [39, 49]
Generated Node #0,3,2: 33:[39, 49] Operation: 51-2=49
Exploring Operation: 51-39=12, Resulting Numbers: [2, 12]
Generated Node #0,3,3: 33:[2, 12] Operation: 51-39=12
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 33:[2, 12], Operations: ['65-26=39', '51-39=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,33 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 33:[51, 37], Operations: ['65-26=39', '39-2=37']
Exploring Operation: 51+37=88, Resulting Numbers: [88]
88,33 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 51*37=1887, Resulting Numbers: [1887]
1887,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 33:[39, 49], Operations: ['65-26=39', '51-2=49']
Exploring Operation: 39*49=1911, Resulting Numbers: [1911]
1911,33 unequal: No Solution
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 39+49=88, Resulting Numbers: [88]
88,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 33:[39, 53], Operations: ['65-26=39', '51+2=53']
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,33 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[65, 2, 25], Operations: ['51-26=25']
Exploring Operation: 2+25=27, Resulting Numbers: [65, 27]
Generated Node #0,0,0: 33:[65, 27] Operation: 2+25=27
Exploring Operation: 65+2=67, Resulting Numbers: [25, 67]
Generated Node #0,0,1: 33:[25, 67] Operation: 65+2=67
Exploring Operation: 65-2=63, Resulting Numbers: [25, 63]
Generated Node #0,0,2: 33:[25, 63] Operation: 65-2=63
Exploring Operation: 65-25=40, Resulting Numbers: [2, 40]
Generated Node #0,0,3: 33:[2, 40] Operation: 65-25=40
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 33:[2, 40], Operations: ['51-26=25', '65-25=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,33 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[65, 27], Operations: ['51-26=25', '2+25=27']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 65*27=1755, Resulting Numbers: [1755]
1755,33 unequal: No Solution
Exploring Operation: 65+27=92, Resulting Numbers: [92]
92,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 33:[25, 63], Operations: ['51-26=25', '65-2=63']
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 25*63=1575, Resulting Numbers: [1575]
1575,33 unequal: No Solution
Exploring Operation: 25+63=88, Resulting Numbers: [88]
88,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 33:[25, 67], Operations: ['51-26=25', '65+2=67']
Exploring Operation: 25*67=1675, Resulting Numbers: [1675]
1675,33 unequal: No Solution
Exploring Operation: 67-25=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Exploring Operation: 25+67=92, Resulting Numbers: [92]
92,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[51, 65, 13], Operations: ['26/2=13']
Exploring Operation: 51-13=38, Resulting Numbers: [65, 38]
Generated Node #0,1,0: 33:[65, 38] Operation: 51-13=38
Exploring Operation: 65-13=52, Resulting Numbers: [51, 52]
Generated Node #0,1,1: 33:[51, 52] Operation: 65-13=52
Exploring Operation: 65/13=5, Resulting Numbers: [51, 5]
Generated Node #0,1,2: 33:[51, 5] Operation: 65/13=5
Exploring Operation: 65-51=14, Resulting Numbers: [13, 14]
Generated Node #0,1,3: 33:[13, 14] Operation: 65-51=14
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 33:[13, 14], Operations: ['26/2=13', '65-51=14']
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,33 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 33:[51, 5], Operations: ['26/2=13', '65/13=5']
Exploring Operation: 51*5=255, Resulting Numbers: [255]
255,33 unequal: No Solution
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[65, 38], Operations: ['26/2=13', '51-13=38']
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 65*38=2470, Resulting Numbers: [2470]
2470,33 unequal: No Solution
Exploring Operation: 65+38=103, Resulting Numbers: [103]
103,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[51, 52], Operations: ['26/2=13', '65-13=52']
Exploring Operation: 51*52=2652, Resulting Numbers: [2652]
2652,33 unequal: No Solution
Exploring Operation: 51+52=103, Resulting Numbers: [103]
103,33 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
42,
7,
21,
7
] | 62 | [
"42+21=63",
"7/7=1",
"63-1=62"
] | Current State: 62:[42, 7, 21, 7], Operations: []
Exploring Operation: 42+21=63, Resulting Numbers: [7, 7, 63]
Generated Node #2: [7, 7, 63] from Operation: 42+21=63
Current State: 62:[7, 7, 63], Operations: ['42+21=63']
Exploring Operation: 7/7=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 7/7=1
Current State: 62:[63, 1], Operations: ['42+21=63', '7/7=1']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[42, 7, 21, 7], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [7, 7, 2]
Generated Node #0,0: 62:[7, 7, 2] Operation: 42/21=2
Exploring Operation: 42+21=63, Resulting Numbers: [7, 7, 63]
Generated Node #0,1: 62:[7, 7, 63] Operation: 42+21=63
Exploring Operation: 21/7=3, Resulting Numbers: [42, 7, 3]
Generated Node #0,2: 62:[42, 7, 3] Operation: 21/7=3
Exploring Operation: 21/7=3, Resulting Numbers: [42, 7, 3]
Generated Node #0,3: 62:[42, 7, 3] Operation: 21/7=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[7, 7, 2], Operations: ['42/21=2']
Exploring Operation: 7-2=5, Resulting Numbers: [7, 5]
Generated Node #0,0,0: 62:[7, 5] Operation: 7-2=5
Exploring Operation: 7-7=0, Resulting Numbers: [2, 0]
Generated Node #0,0,1: 62:[2, 0] Operation: 7-7=0
Exploring Operation: 7-2=5, Resulting Numbers: [7, 5]
Generated Node #0,0,2: 62:[7, 5] Operation: 7-2=5
Exploring Operation: 7/7=1, Resulting Numbers: [2, 1]
Generated Node #0,0,3: 62:[2, 1] Operation: 7/7=1
Moving to Node #0,0,3
Current State: 62:[2, 1], Operations: ['42/21=2', '7/7=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[2, 0], Operations: ['42/21=2', '7-7=0']
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2+0=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2*0=0, Resulting Numbers: [0]
0,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[7, 5], Operations: ['42/21=2', '7-2=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[7, 5], Operations: ['42/21=2', '7-2=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,62 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[7, 7, 63], Operations: ['42+21=63']
Exploring Operation: 7/7=1, Resulting Numbers: [63, 1]
Generated Node #0,1,0: 62:[63, 1] Operation: 7/7=1
Exploring Operation: 63-7=56, Resulting Numbers: [7, 56]
Generated Node #0,1,1: 62:[7, 56] Operation: 63-7=56
Exploring Operation: 63-7=56, Resulting Numbers: [7, 56]
Generated Node #0,1,2: 62:[7, 56] Operation: 63-7=56
Exploring Operation: 7-7=0, Resulting Numbers: [63, 0]
Generated Node #0,1,3: 62:[63, 0] Operation: 7-7=0
Moving to Node #0,1,0
Current State: 62:[63, 1], Operations: ['42+21=63', '7/7=1']
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,62 unequal: No Solution
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[42, 7, 21, 7], Operations: []
Exploring Operation: 42+21=63, Resulting Numbers: [7, 7, 63]
Generated Node #0,1: 62:[7, 7, 63] Operation: 42+21=63
Moving to Node #0,1
Current State: 62:[7, 7, 63], Operations: ['42+21=63']
Exploring Operation: 7/7=1, Resulting Numbers: [63, 1]
Generated Node #0,1,0: 62:[63, 1] Operation: 7/7=1
Moving to Node #0,1,0
Current State: 62:[63, 1], Operations: ['42+21=63', '7/7=1']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | mult_heuristic |
[
32,
15,
24,
78
] | 46 | [
"32*24=768",
"768-78=690",
"690/15=46"
] | Current State: 46:[32, 15, 24, 78], Operations: []
Exploring Operation: 32*24=768, Resulting Numbers: [15, 78, 768]
Generated Node #2: [15, 78, 768] from Operation: 32*24=768
Current State: 46:[15, 78, 768], Operations: ['32*24=768']
Exploring Operation: 768-78=690, Resulting Numbers: [15, 690]
Generated Node #3: [15, 690] from Operation: 768-78=690
Current State: 46:[15, 690], Operations: ['32*24=768', '768-78=690']
Exploring Operation: 690/15=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[32, 15, 24, 78], Operations: []
Exploring Operation: 78-32=46, Resulting Numbers: [15, 24, 46]
Generated Node #0,0: 46:[15, 24, 46] Operation: 78-32=46
Moving to Node #0,0
Current State: 46:[15, 24, 46], Operations: ['78-32=46']
Exploring Operation: 15+24=39, Resulting Numbers: [46, 39]
Generated Node #0,0,0: 46:[46, 39] Operation: 15+24=39
Moving to Node #0,0,0
Current State: 46:[46, 39], Operations: ['78-32=46', '15+24=39']
Exploring Operation: 46-39=7, Resulting Numbers: [7]
7,46 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
7,
24,
25,
96
] | 40 | [
"7+24=31",
"96-25=71",
"71-31=40"
] | Current State: 40:[7, 24, 25, 96], Operations: []
Exploring Operation: 7+24=31, Resulting Numbers: [25, 96, 31]
Generated Node #2: [25, 96, 31] from Operation: 7+24=31
Current State: 40:[25, 96, 31], Operations: ['7+24=31']
Exploring Operation: 96-25=71, Resulting Numbers: [31, 71]
Generated Node #3: [31, 71] from Operation: 96-25=71
Current State: 40:[31, 71], Operations: ['7+24=31', '96-25=71']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[7, 24, 25, 96], Operations: []
Exploring Operation: 96-7=89, Resulting Numbers: [24, 25, 89]
Generated Node #0,0: 40:[24, 25, 89] Operation: 96-7=89
Exploring Operation: 96/24=4, Resulting Numbers: [7, 25, 4]
Generated Node #0,1: 40:[7, 25, 4] Operation: 96/24=4
Exploring Operation: 96-24=72, Resulting Numbers: [7, 25, 72]
Generated Node #0,2: 40:[7, 25, 72] Operation: 96-24=72
Exploring Operation: 96-25=71, Resulting Numbers: [7, 24, 71]
Generated Node #0,3: 40:[7, 24, 71] Operation: 96-25=71
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[7, 25, 4], Operations: ['96/24=4']
Exploring Operation: 7-4=3, Resulting Numbers: [25, 3]
Generated Node #0,1,0: 40:[25, 3] Operation: 7-4=3
Exploring Operation: 25-4=21, Resulting Numbers: [7, 21]
Generated Node #0,1,1: 40:[7, 21] Operation: 25-4=21
Exploring Operation: 25-7=18, Resulting Numbers: [4, 18]
Generated Node #0,1,2: 40:[4, 18] Operation: 25-7=18
Exploring Operation: 7+4=11, Resulting Numbers: [25, 11]
Generated Node #0,1,3: 40:[25, 11] Operation: 7+4=11
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 40:[7, 21], Operations: ['96/24=4', '25-4=21']
Exploring Operation: 7*21=147, Resulting Numbers: [147]
147,40 unequal: No Solution
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,40 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 #0,1,2
Current State: 40:[4, 18], Operations: ['96/24=4', '25-7=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,40 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,40 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 #0,1,0
Current State: 40:[25, 3], Operations: ['96/24=4', '7-4=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,40 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,40 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 #0,1,3
Current State: 40:[25, 11], Operations: ['96/24=4', '7+4=11']
Exploring Operation: 25*11=275, Resulting Numbers: [275]
275,40 unequal: No Solution
Exploring Operation: 25+11=36, Resulting Numbers: [36]
36,40 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,40 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 #0,3
Current State: 40:[7, 24, 71], Operations: ['96-25=71']
Exploring Operation: 71-24=47, Resulting Numbers: [7, 47]
Generated Node #0,3,0: 40:[7, 47] Operation: 71-24=47
Exploring Operation: 7+24=31, Resulting Numbers: [71, 31]
Generated Node #0,3,1: 40:[71, 31] Operation: 7+24=31
Exploring Operation: 24-7=17, Resulting Numbers: [71, 17]
Generated Node #0,3,2: 40:[71, 17] Operation: 24-7=17
Exploring Operation: 71-7=64, Resulting Numbers: [24, 64]
Generated Node #0,3,3: 40:[24, 64] Operation: 71-7=64
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 40:[7, 47], Operations: ['96-25=71', '71-24=47']
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 7*47=329, Resulting Numbers: [329]
329,40 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[7, 24, 25, 96], Operations: []
Exploring Operation: 96-25=71, Resulting Numbers: [7, 24, 71]
Generated Node #0,3: 40:[7, 24, 71] Operation: 96-25=71
Moving to Node #0,3
Current State: 40:[7, 24, 71], Operations: ['96-25=71']
Exploring Operation: 71-24=47, Resulting Numbers: [7, 47]
Generated Node #0,3,0: 40:[7, 47] Operation: 71-24=47
Moving to Node #0,3,0
Current State: 40:[7, 47], Operations: ['96-25=71', '71-24=47']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
[
62,
12,
20,
39
] | 69 | [
"62-12=50",
"39-20=19",
"50+19=69"
] | Current State: 69:[62, 12, 20, 39], Operations: []
Exploring Operation: 62-12=50, Resulting Numbers: [20, 39, 50]
Generated Node #2: [20, 39, 50] from Operation: 62-12=50
Current State: 69:[20, 39, 50], Operations: ['62-12=50']
Exploring Operation: 39-20=19, Resulting Numbers: [50, 19]
Generated Node #3: [50, 19] from Operation: 39-20=19
Current State: 69:[50, 19], Operations: ['62-12=50', '39-20=19']
Exploring Operation: 50+19=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[62, 12, 20, 39], Operations: []
Exploring Operation: 62-39=23, Resulting Numbers: [12, 20, 23]
Generated Node #0,0: 69:[12, 20, 23] Operation: 62-39=23
Moving to Node #0,0
Current State: 69:[12, 20, 23], Operations: ['62-39=23']
Exploring Operation: 20-12=8, Resulting Numbers: [23, 8]
Generated Node #0,0,0: 69:[23, 8] Operation: 20-12=8
Moving to Node #0,0,0
Current State: 69:[23, 8], Operations: ['62-39=23', '20-12=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,69 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
51,
97,
15
] | 64 | [
"51-3=48",
"97+15=112",
"112-48=64"
] | Current State: 64:[3, 51, 97, 15], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [97, 15, 48]
Generated Node #2: [97, 15, 48] from Operation: 51-3=48
Current State: 64:[97, 15, 48], Operations: ['51-3=48']
Exploring Operation: 97+15=112, Resulting Numbers: [48, 112]
Generated Node #3: [48, 112] from Operation: 97+15=112
Current State: 64:[48, 112], Operations: ['51-3=48', '97+15=112']
Exploring Operation: 112-48=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[3, 51, 97, 15], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [3, 15, 46]
Generated Node #0,0: 64:[3, 15, 46] Operation: 97-51=46
Moving to Node #0,0
Current State: 64:[3, 15, 46], Operations: ['97-51=46']
Exploring Operation: 46-15=31, Resulting Numbers: [3, 31]
Generated Node #0,0,0: 64:[3, 31] Operation: 46-15=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[3, 31], Operations: ['97-51=46', '46-15=31']
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,64 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 |
[
14,
78,
16,
26
] | 58 | [
"14*78=1092",
"1092/26=42",
"16+42=58"
] | Current State: 58:[14, 78, 16, 26], Operations: []
Exploring Operation: 14*78=1092, Resulting Numbers: [16, 26, 1092]
Generated Node #2: [16, 26, 1092] from Operation: 14*78=1092
Current State: 58:[16, 26, 1092], Operations: ['14*78=1092']
Exploring Operation: 1092/26=42, Resulting Numbers: [16, 42]
Generated Node #3: [16, 42] from Operation: 1092/26=42
Current State: 58:[16, 42], Operations: ['14*78=1092', '1092/26=42']
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[14, 78, 16, 26], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [78, 26, 2]
Generated Node #0,0: 58:[78, 26, 2] Operation: 16-14=2
Exploring Operation: 78-16=62, Resulting Numbers: [14, 26, 62]
Generated Node #0,1: 58:[14, 26, 62] Operation: 78-16=62
Exploring Operation: 78-14=64, Resulting Numbers: [16, 26, 64]
Generated Node #0,2: 58:[16, 26, 64] Operation: 78-14=64
Moving to Node #0,1
Current State: 58:[14, 26, 62], Operations: ['78-16=62']
Exploring Operation: 14+26=40, Resulting Numbers: [62, 40]
Generated Node #0,1,0: 58:[62, 40] Operation: 14+26=40
Exploring Operation: 62-14=48, Resulting Numbers: [26, 48]
Generated Node #0,1,1: 58:[26, 48] Operation: 62-14=48
Exploring Operation: 26-14=12, Resulting Numbers: [62, 12]
Generated Node #0,1,2: 58:[62, 12] Operation: 26-14=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[26, 48], Operations: ['78-16=62', '62-14=48']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 26+48=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 26*48=1248, Resulting Numbers: [1248]
1248,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 58:[62, 12], Operations: ['78-16=62', '26-14=12']
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,58 unequal: No Solution
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[62, 40], Operations: ['78-16=62', '14+26=40']
Exploring Operation: 62+40=102, Resulting Numbers: [102]
102,58 unequal: No Solution
Exploring Operation: 62*40=2480, Resulting Numbers: [2480]
2480,58 unequal: No Solution
Exploring Operation: 62-40=22, Resulting Numbers: [22]
22,58 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: 58:[16, 26, 64], Operations: ['78-14=64']
Exploring Operation: 64/16=4, Resulting Numbers: [26, 4]
Generated Node #0,2,0: 58:[26, 4] Operation: 64/16=4
Exploring Operation: 64-16=48, Resulting Numbers: [26, 48]
Generated Node #0,2,1: 58:[26, 48] Operation: 64-16=48
Exploring Operation: 26-16=10, Resulting Numbers: [64, 10]
Generated Node #0,2,2: 58:[64, 10] Operation: 26-16=10
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 58:[26, 4], Operations: ['78-14=64', '64/16=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 58:[26, 48], Operations: ['78-14=64', '64-16=48']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 26*48=1248, Resulting Numbers: [1248]
1248,58 unequal: No Solution
Exploring Operation: 26+48=74, Resulting Numbers: [74]
74,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 58:[64, 10], Operations: ['78-14=64', '26-16=10']
Exploring Operation: 64*10=640, Resulting Numbers: [640]
640,58 unequal: No Solution
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,58 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: 58:[78, 26, 2], Operations: ['16-14=2']
Exploring Operation: 78/26=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 58:[2, 3] Operation: 78/26=3
Exploring Operation: 78/2=39, Resulting Numbers: [26, 39]
Generated Node #0,0,1: 58:[26, 39] Operation: 78/2=39
Exploring Operation: 78-26=52, Resulting Numbers: [2, 52]
Generated Node #0,0,2: 58:[2, 52] Operation: 78-26=52
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[2, 3], Operations: ['16-14=2', '78/26=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[2, 52], Operations: ['16-14=2', '78-26=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,58 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[26, 39], Operations: ['16-14=2', '78/2=39']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 26+39=65, Resulting Numbers: [65]
65,58 unequal: No Solution
Exploring Operation: 26*39=1014, Resulting Numbers: [1014]
1014,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
38,
11,
85,
34
] | 41 | [
"38-34=4",
"11*4=44",
"85-44=41"
] | Current State: 41:[38, 11, 85, 34], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [11, 85, 4]
Generated Node #2: [11, 85, 4] from Operation: 38-34=4
Current State: 41:[11, 85, 4], Operations: ['38-34=4']
Exploring Operation: 11*4=44, Resulting Numbers: [85, 44]
Generated Node #3: [85, 44] from Operation: 11*4=44
Current State: 41:[85, 44], Operations: ['38-34=4', '11*4=44']
Exploring Operation: 85-44=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[38, 11, 85, 34], Operations: []
Exploring Operation: 38+11=49, Resulting Numbers: [85, 34, 49]
Generated Node #0,0: 41:[85, 34, 49] Operation: 38+11=49
Exploring Operation: 85-38=47, Resulting Numbers: [11, 34, 47]
Generated Node #0,1: 41:[11, 34, 47] Operation: 85-38=47
Exploring Operation: 85-34=51, Resulting Numbers: [38, 11, 51]
Generated Node #0,2: 41:[38, 11, 51] Operation: 85-34=51
Exploring Operation: 85-11=74, Resulting Numbers: [38, 34, 74]
Generated Node #0,3: 41:[38, 34, 74] Operation: 85-11=74
Exploring Operation: 11+34=45, Resulting Numbers: [38, 85, 45]
Generated Node #0,4: 41:[38, 85, 45] Operation: 11+34=45
Moving to Node #0,1
Current State: 41:[11, 34, 47], Operations: ['85-38=47']
Exploring Operation: 11+34=45, Resulting Numbers: [47, 45]
Generated Node #0,1,0: 41:[47, 45] Operation: 11+34=45
Exploring Operation: 47-34=13, Resulting Numbers: [11, 13]
Generated Node #0,1,1: 41:[11, 13] Operation: 47-34=13
Exploring Operation: 34-11=23, Resulting Numbers: [47, 23]
Generated Node #0,1,2: 41:[47, 23] Operation: 34-11=23
Exploring Operation: 11+47=58, Resulting Numbers: [34, 58]
Generated Node #0,1,3: 41:[34, 58] Operation: 11+47=58
Exploring Operation: 47-11=36, Resulting Numbers: [34, 36]
Generated Node #0,1,4: 41:[34, 36] Operation: 47-11=36
Moving to Node #0,3
Current State: 41:[38, 34, 74], Operations: ['85-11=74']
Exploring Operation: 38-34=4, Resulting Numbers: [74, 4]
Generated Node #0,3,0: 41:[74, 4] Operation: 38-34=4
Exploring Operation: 74-34=40, Resulting Numbers: [38, 40]
Generated Node #0,3,1: 41:[38, 40] Operation: 74-34=40
Exploring Operation: 74-38=36, Resulting Numbers: [34, 36]
Generated Node #0,3,2: 41:[34, 36] Operation: 74-38=36
Exploring Operation: 38+34=72, Resulting Numbers: [74, 72]
Generated Node #0,3,3: 41:[74, 72] Operation: 38+34=72
Exploring Operation: 34+74=108, Resulting Numbers: [38, 108]
Generated Node #0,3,4: 41:[38, 108] Operation: 34+74=108
Moving to Node #0,2
Current State: 41:[38, 11, 51], Operations: ['85-34=51']
Exploring Operation: 38+11=49, Resulting Numbers: [51, 49]
Generated Node #0,2,0: 41:[51, 49] Operation: 38+11=49
Exploring Operation: 51-11=40, Resulting Numbers: [38, 40]
Generated Node #0,2,1: 41:[38, 40] Operation: 51-11=40
Exploring Operation: 38-11=27, Resulting Numbers: [51, 27]
Generated Node #0,2,2: 41:[51, 27] Operation: 38-11=27
Exploring Operation: 11+51=62, Resulting Numbers: [38, 62]
Generated Node #0,2,3: 41:[38, 62] Operation: 11+51=62
Exploring Operation: 51-38=13, Resulting Numbers: [11, 13]
Generated Node #0,2,4: 41:[11, 13] Operation: 51-38=13
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[38, 40], Operations: ['85-34=51', '51-11=40']
Exploring Operation: 38*40=1520, Resulting Numbers: [1520]
1520,41 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,41 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 #0,2,0
Current State: 41:[51, 49], Operations: ['85-34=51', '38+11=49']
Exploring Operation: 51-49=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 51+49=100, Resulting Numbers: [100]
100,41 unequal: No Solution
Exploring Operation: 51*49=2499, Resulting Numbers: [2499]
2499,41 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 #0,2,2
Current State: 41:[51, 27], Operations: ['85-34=51', '38-11=27']
Exploring Operation: 51+27=78, Resulting Numbers: [78]
78,41 unequal: No Solution
Exploring Operation: 51*27=1377, Resulting Numbers: [1377]
1377,41 unequal: No Solution
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,41 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 #0,2,3
Current State: 41:[38, 62], Operations: ['85-34=51', '11+51=62']
Exploring Operation: 38+62=100, Resulting Numbers: [100]
100,41 unequal: No Solution
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 38*62=2356, Resulting Numbers: [2356]
2356,41 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 #0,2,4
Current State: 41:[11, 13], Operations: ['85-34=51', '51-38=13']
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,41 unequal: No Solution
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,41 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: 41:[38, 85, 45], Operations: ['11+34=45']
Exploring Operation: 85-45=40, Resulting Numbers: [38, 40]
Generated Node #0,4,0: 41:[38, 40] Operation: 85-45=40
Exploring Operation: 38+45=83, Resulting Numbers: [85, 83]
Generated Node #0,4,1: 41:[85, 83] Operation: 38+45=83
Exploring Operation: 45-38=7, Resulting Numbers: [85, 7]
Generated Node #0,4,2: 41:[85, 7] Operation: 45-38=7
Exploring Operation: 38+85=123, Resulting Numbers: [45, 123]
Generated Node #0,4,3: 41:[45, 123] Operation: 38+85=123
Exploring Operation: 85-38=47, Resulting Numbers: [45, 47]
Generated Node #0,4,4: 41:[45, 47] Operation: 85-38=47
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 41:[38, 40], Operations: ['11+34=45', '85-45=40']
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 38*40=1520, Resulting Numbers: [1520]
1520,41 unequal: No Solution
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,41 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 #0,4,4
Current State: 41:[45, 47], Operations: ['11+34=45', '85-38=47']
Exploring Operation: 45*47=2115, Resulting Numbers: [2115]
2115,41 unequal: No Solution
Exploring Operation: 47-45=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 45+47=92, Resulting Numbers: [92]
92,41 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 #0,4,2
Current State: 41:[85, 7], Operations: ['11+34=45', '45-38=7']
Exploring Operation: 85+7=92, Resulting Numbers: [92]
92,41 unequal: No Solution
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,41 unequal: No Solution
Exploring Operation: 85*7=595, Resulting Numbers: [595]
595,41 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 #0,4,1
Current State: 41:[85, 83], Operations: ['11+34=45', '38+45=83']
Exploring Operation: 85*83=7055, Resulting Numbers: [7055]
7055,41 unequal: No Solution
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 85+83=168, Resulting Numbers: [168]
168,41 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 #0,4,3
Current State: 41:[45, 123], Operations: ['11+34=45', '38+85=123']
Exploring Operation: 45+123=168, Resulting Numbers: [168]
168,41 unequal: No Solution
Exploring Operation: 45*123=5535, Resulting Numbers: [5535]
5535,41 unequal: No Solution
Exploring Operation: 123-45=78, Resulting Numbers: [78]
78,41 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:[85, 34, 49], Operations: ['38+11=49']
Exploring Operation: 85-34=51, Resulting Numbers: [49, 51]
Generated Node #0,0,0: 41:[49, 51] Operation: 85-34=51
Exploring Operation: 85-49=36, Resulting Numbers: [34, 36]
Generated Node #0,0,1: 41:[34, 36] Operation: 85-49=36
Exploring Operation: 34+49=83, Resulting Numbers: [85, 83]
Generated Node #0,0,2: 41:[85, 83] Operation: 34+49=83
Exploring Operation: 49-34=15, Resulting Numbers: [85, 15]
Generated Node #0,0,3: 41:[85, 15] Operation: 49-34=15
Exploring Operation: 85+34=119, Resulting Numbers: [49, 119]
Generated Node #0,0,4: 41:[49, 119] Operation: 85+34=119
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[34, 36], Operations: ['38+11=49', '85-49=36']
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[49, 51], Operations: ['38+11=49', '85-34=51']
Exploring Operation: 49*51=2499, Resulting Numbers: [2499]
2499,41 unequal: No Solution
Exploring Operation: 51-49=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 41:[85, 15], Operations: ['38+11=49', '49-34=15']
Exploring Operation: 85+15=100, Resulting Numbers: [100]
100,41 unequal: No Solution
Exploring Operation: 85*15=1275, Resulting Numbers: [1275]
1275,41 unequal: No Solution
Exploring Operation: 85-15=70, Resulting Numbers: [70]
70,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[85, 83], Operations: ['38+11=49', '34+49=83']
Exploring Operation: 85+83=168, Resulting Numbers: [168]
168,41 unequal: No Solution
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 85*83=7055, Resulting Numbers: [7055]
7055,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 41:[49, 119], Operations: ['38+11=49', '85+34=119']
Exploring Operation: 49+119=168, Resulting Numbers: [168]
168,41 unequal: No Solution
Exploring Operation: 119-49=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 49*119=5831, Resulting Numbers: [5831]
5831,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 41:[38, 40], Operations: ['85-11=74', '74-34=40']
Exploring Operation: 38*40=1520, Resulting Numbers: [1520]
1520,41 unequal: No Solution
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,41 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[47, 45], Operations: ['85-38=47', '11+34=45']
Exploring Operation: 47*45=2115, Resulting Numbers: [2115]
2115,41 unequal: No Solution
Exploring Operation: 47+45=92, Resulting Numbers: [92]
92,41 unequal: No Solution
Exploring Operation: 47-45=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[34, 36], Operations: ['85-11=74', '74-38=36']
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,41 unequal: No Solution
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[34, 36], Operations: ['85-38=47', '47-11=36']
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[47, 23], Operations: ['85-38=47', '34-11=23']
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 47*23=1081, Resulting Numbers: [1081]
1081,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[34, 58], Operations: ['85-38=47', '11+47=58']
Exploring Operation: 34*58=1972, Resulting Numbers: [1972]
1972,41 unequal: No Solution
Exploring Operation: 34+58=92, Resulting Numbers: [92]
92,41 unequal: No Solution
Exploring Operation: 58-34=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[11, 13], Operations: ['85-38=47', '47-34=13']
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,41 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[74, 72], Operations: ['85-11=74', '38+34=72']
Exploring Operation: 74*72=5328, Resulting Numbers: [5328]
5328,41 unequal: No Solution
Exploring Operation: 74+72=146, Resulting Numbers: [146]
146,41 unequal: No Solution
Exploring Operation: 74-72=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Moving to Node #0,3,4
Current State: 41:[38, 108], Operations: ['85-11=74', '34+74=108']
Exploring Operation: 38*108=4104, Resulting Numbers: [4104]
4104,41 unequal: No Solution
Exploring Operation: 108-38=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 38+108=146, Resulting Numbers: [146]
146,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[74, 4], Operations: ['85-11=74', '38-34=4']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 74*4=296, Resulting Numbers: [296]
296,41 unequal: No Solution
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,41 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
2,
32,
95,
53
] | 72 | [
"32-2=30",
"95-53=42",
"30+42=72"
] | Current State: 72:[2, 32, 95, 53], Operations: []
Exploring Operation: 32-2=30, Resulting Numbers: [95, 53, 30]
Generated Node #2: [95, 53, 30] from Operation: 32-2=30
Current State: 72:[95, 53, 30], Operations: ['32-2=30']
Exploring Operation: 95-53=42, Resulting Numbers: [30, 42]
Generated Node #3: [30, 42] from Operation: 95-53=42
Current State: 72:[30, 42], Operations: ['32-2=30', '95-53=42']
Exploring Operation: 30+42=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[2, 32, 95, 53], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [2, 32, 42]
Generated Node #0,0: 72:[2, 32, 42] Operation: 95-53=42
Exploring Operation: 95-32=63, Resulting Numbers: [2, 53, 63]
Generated Node #0,1: 72:[2, 53, 63] Operation: 95-32=63
Exploring Operation: 53-32=21, Resulting Numbers: [2, 95, 21]
Generated Node #0,2: 72:[2, 95, 21] Operation: 53-32=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[2, 32, 42], Operations: ['95-53=42']
Exploring Operation: 42-32=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 72:[2, 10] Operation: 42-32=10
Exploring Operation: 32+42=74, Resulting Numbers: [2, 74]
Generated Node #0,0,1: 72:[2, 74] Operation: 32+42=74
Exploring Operation: 42/2=21, Resulting Numbers: [32, 21]
Generated Node #0,0,2: 72:[32, 21] Operation: 42/2=21
Moving to Node #0,0,0
Current State: 72:[2, 10], Operations: ['95-53=42', '42-32=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[2, 74], Operations: ['95-53=42', '32+42=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[2, 32, 95, 53], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [2, 32, 42]
Generated Node #0,0: 72:[2, 32, 42] Operation: 95-53=42
Moving to Node #0,0
Current State: 72:[2, 32, 42], Operations: ['95-53=42']
Exploring Operation: 32+42=74, Resulting Numbers: [2, 74]
Generated Node #0,0,1: 72:[2, 74] Operation: 32+42=74
Moving to Node #0,0,1
Current State: 72:[2, 74], Operations: ['95-53=42', '32+42=74']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
69,
20,
10,
91
] | 20 | [
"69+20=89",
"91-89=2",
"10*2=20"
] | Current State: 20:[69, 20, 10, 91], Operations: []
Exploring Operation: 69+20=89, Resulting Numbers: [10, 91, 89]
Generated Node #2: [10, 91, 89] from Operation: 69+20=89
Current State: 20:[10, 91, 89], Operations: ['69+20=89']
Exploring Operation: 91-89=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 91-89=2
Current State: 20:[10, 2], Operations: ['69+20=89', '91-89=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[69, 20, 10, 91], Operations: []
Exploring Operation: 91-69=22, Resulting Numbers: [20, 10, 22]
Generated Node #0,0: 20:[20, 10, 22] Operation: 91-69=22
Exploring Operation: 91-20=71, Resulting Numbers: [69, 10, 71]
Generated Node #0,1: 20:[69, 10, 71] Operation: 91-20=71
Exploring Operation: 91-10=81, Resulting Numbers: [69, 20, 81]
Generated Node #0,2: 20:[69, 20, 81] Operation: 91-10=81
Exploring Operation: 69-20=49, Resulting Numbers: [10, 91, 49]
Generated Node #0,3: 20:[10, 91, 49] Operation: 69-20=49
Exploring Operation: 69-10=59, Resulting Numbers: [20, 91, 59]
Generated Node #0,4: 20:[20, 91, 59] Operation: 69-10=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[20, 10, 22], Operations: ['91-69=22']
Exploring Operation: 20/10=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 20:[22, 2] Operation: 20/10=2
Exploring Operation: 20-10=10, Resulting Numbers: [22, 10]
Generated Node #0,0,1: 20:[22, 10] Operation: 20-10=10
Exploring Operation: 22-10=12, Resulting Numbers: [20, 12]
Generated Node #0,0,2: 20:[20, 12] Operation: 22-10=12
Exploring Operation: 22-20=2, Resulting Numbers: [10, 2]
Generated Node #0,0,3: 20:[10, 2] Operation: 22-20=2
Exploring Operation: 20+10=30, Resulting Numbers: [22, 30]
Generated Node #0,0,4: 20:[22, 30] Operation: 20+10=30
Moving to Node #0,0,3
Current State: 20:[10, 2], Operations: ['91-69=22', '22-20=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,20 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[69, 20, 10, 91], Operations: []
Exploring Operation: 91-69=22, Resulting Numbers: [20, 10, 22]
Generated Node #0,0: 20:[20, 10, 22] Operation: 91-69=22
Moving to Node #0,0
Current State: 20:[20, 10, 22], Operations: ['91-69=22']
Exploring Operation: 22-20=2, Resulting Numbers: [10, 2]
Generated Node #0,0,3: 20:[10, 2] Operation: 22-20=2
Moving to Node #0,0,3
Current State: 20:[10, 2], Operations: ['91-69=22', '22-20=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
73,
12,
54,
30
] | 76 | [
"30-12=18",
"54/18=3",
"73+3=76"
] | Current State: 76:[73, 12, 54, 30], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [73, 54, 18]
Generated Node #2: [73, 54, 18] from Operation: 30-12=18
Current State: 76:[73, 54, 18], Operations: ['30-12=18']
Exploring Operation: 54/18=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 54/18=3
Current State: 76:[73, 3], Operations: ['30-12=18', '54/18=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[73, 12, 54, 30], Operations: []
Exploring Operation: 54-30=24, Resulting Numbers: [73, 12, 24]
Generated Node #0,0: 76:[73, 12, 24] Operation: 54-30=24
Exploring Operation: 54-12=42, Resulting Numbers: [73, 30, 42]
Generated Node #0,1: 76:[73, 30, 42] Operation: 54-12=42
Exploring Operation: 54+30=84, Resulting Numbers: [73, 12, 84]
Generated Node #0,2: 76:[73, 12, 84] Operation: 54+30=84
Exploring Operation: 73-54=19, Resulting Numbers: [12, 30, 19]
Generated Node #0,3: 76:[12, 30, 19] Operation: 73-54=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[73, 12, 24], Operations: ['54-30=24']
Exploring Operation: 73+12=85, Resulting Numbers: [24, 85]
Generated Node #0,0,0: 76:[24, 85] Operation: 73+12=85
Exploring Operation: 24-12=12, Resulting Numbers: [73, 12]
Generated Node #0,0,1: 76:[73, 12] Operation: 24-12=12
Exploring Operation: 24/12=2, Resulting Numbers: [73, 2]
Generated Node #0,0,2: 76:[73, 2] Operation: 24/12=2
Exploring Operation: 12+24=36, Resulting Numbers: [73, 36]
Generated Node #0,0,3: 76:[73, 36] Operation: 12+24=36
Moving to Node #0,0,2
Current State: 76:[73, 2], Operations: ['54-30=24', '24/12=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,76 unequal: No Solution
Exploring Operation: 73*2=146, Resulting Numbers: [146]
146,76 unequal: No Solution
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[73, 36], Operations: ['54-30=24', '12+24=36']
Exploring Operation: 73+36=109, Resulting Numbers: [109]
109,76 unequal: No Solution
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 73*36=2628, Resulting Numbers: [2628]
2628,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[73, 12], Operations: ['54-30=24', '24-12=12']
Exploring Operation: 73*12=876, Resulting Numbers: [876]
876,76 unequal: No Solution
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 73+12=85, Resulting Numbers: [85]
85,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[24, 85], Operations: ['54-30=24', '73+12=85']
Exploring Operation: 24+85=109, Resulting Numbers: [109]
109,76 unequal: No Solution
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 24*85=2040, Resulting Numbers: [2040]
2040,76 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 #0,1
Current State: 76:[73, 30, 42], Operations: ['54-12=42']
Exploring Operation: 30+42=72, Resulting Numbers: [73, 72]
Generated Node #0,1,0: 76:[73, 72] Operation: 30+42=72
Exploring Operation: 73-42=31, Resulting Numbers: [30, 31]
Generated Node #0,1,1: 76:[30, 31] Operation: 73-42=31
Exploring Operation: 42-30=12, Resulting Numbers: [73, 12]
Generated Node #0,1,2: 76:[73, 12] Operation: 42-30=12
Exploring Operation: 73-30=43, Resulting Numbers: [42, 43]
Generated Node #0,1,3: 76:[42, 43] Operation: 73-30=43
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[73, 72], Operations: ['54-12=42', '30+42=72']
Exploring Operation: 73+72=145, Resulting Numbers: [145]
145,76 unequal: No Solution
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 73*72=5256, Resulting Numbers: [5256]
5256,76 unequal: No Solution
No 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: 76:[42, 43], Operations: ['54-12=42', '73-30=43']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,76 unequal: No Solution
Exploring Operation: 42*43=1806, Resulting Numbers: [1806]
1806,76 unequal: No Solution
No 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: 76:[73, 12], Operations: ['54-12=42', '42-30=12']
Exploring Operation: 73*12=876, Resulting Numbers: [876]
876,76 unequal: No Solution
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 73+12=85, Resulting Numbers: [85]
85,76 unequal: No Solution
No 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: 76:[30, 31], Operations: ['54-12=42', '73-42=31']
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,76 unequal: No Solution
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[12, 30, 19], Operations: ['73-54=19']
Exploring Operation: 12+30=42, Resulting Numbers: [19, 42]
Generated Node #0,3,0: 76:[19, 42] Operation: 12+30=42
Exploring Operation: 19-12=7, Resulting Numbers: [30, 7]
Generated Node #0,3,1: 76:[30, 7] Operation: 19-12=7
Exploring Operation: 30-19=11, Resulting Numbers: [12, 11]
Generated Node #0,3,2: 76:[12, 11] Operation: 30-19=11
Exploring Operation: 30-12=18, Resulting Numbers: [19, 18]
Generated Node #0,3,3: 76:[19, 18] Operation: 30-12=18
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 76:[19, 18], Operations: ['73-54=19', '30-12=18']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,76 unequal: No Solution
No 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: 76:[19, 42], Operations: ['73-54=19', '12+30=42']
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 19+42=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 19*42=798, Resulting Numbers: [798]
798,76 unequal: No Solution
No 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: 76:[30, 7], Operations: ['73-54=19', '19-12=7']
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,76 unequal: No Solution
No 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: 76:[12, 11], Operations: ['73-54=19', '30-19=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,76 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[73, 12, 84], Operations: ['54+30=84']
Exploring Operation: 73+12=85, Resulting Numbers: [84, 85]
Generated Node #0,2,0: 76:[84, 85] Operation: 73+12=85
Exploring Operation: 84-73=11, Resulting Numbers: [12, 11]
Generated Node #0,2,1: 76:[12, 11] Operation: 84-73=11
Exploring Operation: 84-12=72, Resulting Numbers: [73, 72]
Generated Node #0,2,2: 76:[73, 72] Operation: 84-12=72
Exploring Operation: 84/12=7, Resulting Numbers: [73, 7]
Generated Node #0,2,3: 76:[73, 7] Operation: 84/12=7
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 76:[73, 7], Operations: ['54+30=84', '84/12=7']
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 73*7=511, Resulting Numbers: [511]
511,76 unequal: No Solution
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,76 unequal: No Solution
No 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: 76:[73, 72], Operations: ['54+30=84', '84-12=72']
Exploring Operation: 73*72=5256, Resulting Numbers: [5256]
5256,76 unequal: No Solution
Exploring Operation: 73+72=145, Resulting Numbers: [145]
145,76 unequal: No Solution
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,76 unequal: No Solution
No 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: 76:[12, 11], Operations: ['54+30=84', '84-73=11']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,76 unequal: No Solution
No 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: 76:[84, 85], Operations: ['54+30=84', '73+12=85']
Exploring Operation: 84*85=7140, Resulting Numbers: [7140]
7140,76 unequal: No Solution
Exploring Operation: 84+85=169, Resulting Numbers: [169]
169,76 unequal: No Solution
Exploring Operation: 85-84=1, Resulting Numbers: [1]
1,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
49,
75,
96,
82
] | 12 | [
"75-49=26",
"96-82=14",
"26-14=12"
] | Current State: 12:[49, 75, 96, 82], Operations: []
Exploring Operation: 75-49=26, Resulting Numbers: [96, 82, 26]
Generated Node #2: [96, 82, 26] from Operation: 75-49=26
Current State: 12:[96, 82, 26], Operations: ['75-49=26']
Exploring Operation: 96-82=14, Resulting Numbers: [26, 14]
Generated Node #3: [26, 14] from Operation: 96-82=14
Current State: 12:[26, 14], Operations: ['75-49=26', '96-82=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[49, 75, 96, 82], Operations: []
Exploring Operation: 82-75=7, Resulting Numbers: [49, 96, 7]
Generated Node #0,0: 12:[49, 96, 7] Operation: 82-75=7
Exploring Operation: 96-75=21, Resulting Numbers: [49, 82, 21]
Generated Node #0,1: 12:[49, 82, 21] Operation: 96-75=21
Exploring Operation: 75-49=26, Resulting Numbers: [96, 82, 26]
Generated Node #0,2: 12:[96, 82, 26] Operation: 75-49=26
Exploring Operation: 96-82=14, Resulting Numbers: [49, 75, 14]
Generated Node #0,3: 12:[49, 75, 14] Operation: 96-82=14
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[49, 75, 14], Operations: ['96-82=14']
Exploring Operation: 49-14=35, Resulting Numbers: [75, 35]
Generated Node #0,3,0: 12:[75, 35] Operation: 49-14=35
Exploring Operation: 75-14=61, Resulting Numbers: [49, 61]
Generated Node #0,3,1: 12:[49, 61] Operation: 75-14=61
Exploring Operation: 49+75=124, Resulting Numbers: [14, 124]
Generated Node #0,3,2: 12:[14, 124] Operation: 49+75=124
Exploring Operation: 75-49=26, Resulting Numbers: [14, 26]
Generated Node #0,3,3: 12:[14, 26] Operation: 75-49=26
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 12:[14, 26], Operations: ['96-82=14', '75-49=26']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[49, 75, 96, 82], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [49, 75, 14]
Generated Node #0,3: 12:[49, 75, 14] Operation: 96-82=14
Moving to Node #0,3
Current State: 12:[49, 75, 14], Operations: ['96-82=14']
Exploring Operation: 75-49=26, Resulting Numbers: [14, 26]
Generated Node #0,3,3: 12:[14, 26] Operation: 75-49=26
Moving to Node #0,3,3
Current State: 12:[14, 26], Operations: ['96-82=14', '75-49=26']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
51,
64,
91,
11
] | 35 | [
"51+64=115",
"91-11=80",
"115-80=35"
] | Current State: 35:[51, 64, 91, 11], Operations: []
Exploring Operation: 51+64=115, Resulting Numbers: [91, 11, 115]
Generated Node #2: [91, 11, 115] from Operation: 51+64=115
Current State: 35:[91, 11, 115], Operations: ['51+64=115']
Exploring Operation: 91-11=80, Resulting Numbers: [115, 80]
Generated Node #3: [115, 80] from Operation: 91-11=80
Current State: 35:[115, 80], Operations: ['51+64=115', '91-11=80']
Exploring Operation: 115-80=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[51, 64, 91, 11], Operations: []
Exploring Operation: 91-64=27, Resulting Numbers: [51, 11, 27]
Generated Node #0,0: 35:[51, 11, 27] Operation: 91-64=27
Exploring Operation: 91-51=40, Resulting Numbers: [64, 11, 40]
Generated Node #0,1: 35:[64, 11, 40] Operation: 91-51=40
Exploring Operation: 64-51=13, Resulting Numbers: [91, 11, 13]
Generated Node #0,2: 35:[91, 11, 13] Operation: 64-51=13
Exploring Operation: 51-11=40, Resulting Numbers: [64, 91, 40]
Generated Node #0,3: 35:[64, 91, 40] Operation: 51-11=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[51, 11, 27], Operations: ['91-64=27']
Exploring Operation: 51-11=40, Resulting Numbers: [27, 40]
Generated Node #0,0,0: 35:[27, 40] Operation: 51-11=40
Exploring Operation: 11+27=38, Resulting Numbers: [51, 38]
Generated Node #0,0,1: 35:[51, 38] Operation: 11+27=38
Exploring Operation: 51-27=24, Resulting Numbers: [11, 24]
Generated Node #0,0,2: 35:[11, 24] Operation: 51-27=24
Exploring Operation: 27-11=16, Resulting Numbers: [51, 16]
Generated Node #0,0,3: 35:[51, 16] Operation: 27-11=16
Moving to Node #0,0,0
Current State: 35:[27, 40], Operations: ['91-64=27', '51-11=40']
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,35 unequal: No Solution
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 27*40=1080, Resulting Numbers: [1080]
1080,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[11, 24], Operations: ['91-64=27', '51-27=24']
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,35 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[51, 64, 91, 11], Operations: []
Exploring Operation: 91-64=27, Resulting Numbers: [51, 11, 27]
Generated Node #0,0: 35:[51, 11, 27] Operation: 91-64=27
Moving to Node #0,0
Current State: 35:[51, 11, 27], Operations: ['91-64=27']
Exploring Operation: 51-27=24, Resulting Numbers: [11, 24]
Generated Node #0,0,2: 35:[11, 24] Operation: 51-27=24
Moving to Node #0,0,2
Current State: 35:[11, 24], Operations: ['91-64=27', '51-27=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
81,
45,
19,
4
] | 84 | [
"19-4=15",
"45/15=3",
"81+3=84"
] | Current State: 84:[81, 45, 19, 4], Operations: []
Exploring Operation: 19-4=15, Resulting Numbers: [81, 45, 15]
Generated Node #2: [81, 45, 15] from Operation: 19-4=15
Current State: 84:[81, 45, 15], Operations: ['19-4=15']
Exploring Operation: 45/15=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 45/15=3
Current State: 84:[81, 3], Operations: ['19-4=15', '45/15=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[81, 45, 19, 4], Operations: []
Exploring Operation: 45-4=41, Resulting Numbers: [81, 19, 41]
Generated Node #0,0: 84:[81, 19, 41] Operation: 45-4=41
Exploring Operation: 19-4=15, Resulting Numbers: [81, 45, 15]
Generated Node #0,1: 84:[81, 45, 15] Operation: 19-4=15
Exploring Operation: 81+4=85, Resulting Numbers: [45, 19, 85]
Generated Node #0,2: 84:[45, 19, 85] Operation: 81+4=85
Exploring Operation: 45-19=26, Resulting Numbers: [81, 4, 26]
Generated Node #0,3: 84:[81, 4, 26] Operation: 45-19=26
Exploring Operation: 81-45=36, Resulting Numbers: [19, 4, 36]
Generated Node #0,4: 84:[19, 4, 36] Operation: 81-45=36
Start Sub Search at level 1: Moving to Node #0,3
Current State: 84:[81, 4, 26], Operations: ['45-19=26']
Exploring Operation: 26-4=22, Resulting Numbers: [81, 22]
Generated Node #0,3,0: 84:[81, 22] Operation: 26-4=22
Exploring Operation: 81-4=77, Resulting Numbers: [26, 77]
Generated Node #0,3,1: 84:[26, 77] Operation: 81-4=77
Exploring Operation: 81-26=55, Resulting Numbers: [4, 55]
Generated Node #0,3,2: 84:[4, 55] Operation: 81-26=55
Exploring Operation: 81+4=85, Resulting Numbers: [26, 85]
Generated Node #0,3,3: 84:[26, 85] Operation: 81+4=85
Exploring Operation: 4+26=30, Resulting Numbers: [81, 30]
Generated Node #0,3,4: 84:[81, 30] Operation: 4+26=30
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 84:[26, 85], Operations: ['45-19=26', '81+4=85']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,84 unequal: No Solution
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,84 unequal: No Solution
No 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: 84:[81, 22], Operations: ['45-19=26', '26-4=22']
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 81+22=103, Resulting Numbers: [103]
103,84 unequal: No Solution
Exploring Operation: 81*22=1782, Resulting Numbers: [1782]
1782,84 unequal: No Solution
No 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: 84:[81, 30], Operations: ['45-19=26', '4+26=30']
Exploring Operation: 81-30=51, Resulting Numbers: [51]
51,84 unequal: No Solution
Exploring Operation: 81+30=111, Resulting Numbers: [111]
111,84 unequal: No Solution
Exploring Operation: 81*30=2430, Resulting Numbers: [2430]
2430,84 unequal: No Solution
No 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: 84:[26, 77], Operations: ['45-19=26', '81-4=77']
Exploring Operation: 26*77=2002, Resulting Numbers: [2002]
2002,84 unequal: No Solution
Exploring Operation: 26+77=103, Resulting Numbers: [103]
103,84 unequal: No Solution
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,84 unequal: No Solution
No 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: 84:[4, 55], Operations: ['45-19=26', '81-26=55']
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,84 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[81, 19, 41], Operations: ['45-4=41']
Exploring Operation: 81-19=62, Resulting Numbers: [41, 62]
Generated Node #0,0,0: 84:[41, 62] Operation: 81-19=62
Exploring Operation: 19+41=60, Resulting Numbers: [81, 60]
Generated Node #0,0,1: 84:[81, 60] Operation: 19+41=60
Exploring Operation: 81+19=100, Resulting Numbers: [41, 100]
Generated Node #0,0,2: 84:[41, 100] Operation: 81+19=100
Exploring Operation: 81-41=40, Resulting Numbers: [19, 40]
Generated Node #0,0,3: 84:[19, 40] Operation: 81-41=40
Exploring Operation: 41-19=22, Resulting Numbers: [81, 22]
Generated Node #0,0,4: 84:[81, 22] Operation: 41-19=22
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 84:[19, 40], Operations: ['45-4=41', '81-41=40']
Exploring Operation: 19*40=760, Resulting Numbers: [760]
760,84 unequal: No Solution
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 84:[81, 22], Operations: ['45-4=41', '41-19=22']
Exploring Operation: 81*22=1782, Resulting Numbers: [1782]
1782,84 unequal: No Solution
Exploring Operation: 81+22=103, Resulting Numbers: [103]
103,84 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,84 unequal: No Solution
No 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: 84:[41, 100], Operations: ['45-4=41', '81+19=100']
Exploring Operation: 41*100=4100, Resulting Numbers: [4100]
4100,84 unequal: No Solution
Exploring Operation: 41+100=141, Resulting Numbers: [141]
141,84 unequal: No Solution
Exploring Operation: 100-41=59, Resulting Numbers: [59]
59,84 unequal: No Solution
No 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: 84:[41, 62], Operations: ['45-4=41', '81-19=62']
Exploring Operation: 41*62=2542, Resulting Numbers: [2542]
2542,84 unequal: No Solution
Exploring Operation: 41+62=103, Resulting Numbers: [103]
103,84 unequal: No Solution
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,84 unequal: No Solution
No 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: 84:[81, 60], Operations: ['45-4=41', '19+41=60']
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 81*60=4860, Resulting Numbers: [4860]
4860,84 unequal: No Solution
Exploring Operation: 81+60=141, Resulting Numbers: [141]
141,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[45, 19, 85], Operations: ['81+4=85']
Exploring Operation: 85-19=66, Resulting Numbers: [45, 66]
Generated Node #0,2,0: 84:[45, 66] Operation: 85-19=66
Exploring Operation: 19+85=104, Resulting Numbers: [45, 104]
Generated Node #0,2,1: 84:[45, 104] Operation: 19+85=104
Exploring Operation: 85-45=40, Resulting Numbers: [19, 40]
Generated Node #0,2,2: 84:[19, 40] Operation: 85-45=40
Exploring Operation: 45+19=64, Resulting Numbers: [85, 64]
Generated Node #0,2,3: 84:[85, 64] Operation: 45+19=64
Exploring Operation: 45-19=26, Resulting Numbers: [85, 26]
Generated Node #0,2,4: 84:[85, 26] Operation: 45-19=26
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 84:[85, 26], Operations: ['81+4=85', '45-19=26']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,84 unequal: No Solution
Exploring Operation: 85*26=2210, Resulting Numbers: [2210]
2210,84 unequal: No Solution
No 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: 84:[19, 40], Operations: ['81+4=85', '85-45=40']
Exploring Operation: 19*40=760, Resulting Numbers: [760]
760,84 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,84 unequal: No Solution
No 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: 84:[45, 66], Operations: ['81+4=85', '85-19=66']
Exploring Operation: 45*66=2970, Resulting Numbers: [2970]
2970,84 unequal: No Solution
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 45+66=111, Resulting Numbers: [111]
111,84 unequal: No Solution
No 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: 84:[85, 64], Operations: ['81+4=85', '45+19=64']
Exploring Operation: 85-64=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 85+64=149, Resulting Numbers: [149]
149,84 unequal: No Solution
Exploring Operation: 85*64=5440, Resulting Numbers: [5440]
5440,84 unequal: No Solution
No 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: 84:[45, 104], Operations: ['81+4=85', '19+85=104']
Exploring Operation: 45*104=4680, Resulting Numbers: [4680]
4680,84 unequal: No Solution
Exploring Operation: 45+104=149, Resulting Numbers: [149]
149,84 unequal: No Solution
Exploring Operation: 104-45=59, Resulting Numbers: [59]
59,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[81, 45, 15], Operations: ['19-4=15']
Exploring Operation: 81+15=96, Resulting Numbers: [45, 96]
Generated Node #0,1,0: 84:[45, 96] Operation: 81+15=96
Exploring Operation: 81-45=36, Resulting Numbers: [15, 36]
Generated Node #0,1,1: 84:[15, 36] Operation: 81-45=36
Exploring Operation: 45/15=3, Resulting Numbers: [81, 3]
Generated Node #0,1,2: 84:[81, 3] Operation: 45/15=3
Exploring Operation: 81-15=66, Resulting Numbers: [45, 66]
Generated Node #0,1,3: 84:[45, 66] Operation: 81-15=66
Exploring Operation: 45-15=30, Resulting Numbers: [81, 30]
Generated Node #0,1,4: 84:[81, 30] Operation: 45-15=30
Moving to Node #0,1,2
Current State: 84:[81, 3], Operations: ['19-4=15', '45/15=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Exploring Operation: 81*3=243, Resulting Numbers: [243]
243,84 unequal: No Solution
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[81, 45, 19, 4], Operations: []
Exploring Operation: 19-4=15, Resulting Numbers: [81, 45, 15]
Generated Node #0,1: 84:[81, 45, 15] Operation: 19-4=15
Moving to Node #0,1
Current State: 84:[81, 45, 15], Operations: ['19-4=15']
Exploring Operation: 45/15=3, Resulting Numbers: [81, 3]
Generated Node #0,1,2: 84:[81, 3] Operation: 45/15=3
Moving to Node #0,1,2
Current State: 84:[81, 3], Operations: ['19-4=15', '45/15=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.93316 | hs_5 | mult_heuristic |
[
51,
21,
28,
51
] | 53 | [
"51-21=30",
"51-28=23",
"30+23=53"
] | Current State: 53:[51, 21, 28, 51], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [28, 30]
Generated Node #2: [28, 30] from Operation: 51-21=30
Current State: 53:[28, 30], Operations: ['51-21=30']
Exploring Operation: 51-28=23, Resulting Numbers: [30, 23]
Generated Node #3: [30, 23] from Operation: 51-28=23
Current State: 53:[30, 23], Operations: ['51-21=30', '51-28=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[51, 21, 28, 51], Operations: []
Exploring Operation: 21+28=49, Resulting Numbers: [51, 51, 49]
Generated Node #0,0: 53:[51, 51, 49] Operation: 21+28=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[51, 51, 49], Operations: ['21+28=49']
Exploring Operation: 51+49=100, Resulting Numbers: [51, 100]
Generated Node #0,0,0: 53:[51, 100] Operation: 51+49=100
Moving to Node #0,0,0
Current State: 53:[51, 100], Operations: ['21+28=49', '51+49=100']
Exploring Operation: 100-51=49, Resulting Numbers: [49]
49,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
76,
92,
15,
50
] | 81 | [
"92-76=16",
"15+50=65",
"16+65=81"
] | Current State: 81:[76, 92, 15, 50], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [15, 50, 16]
Generated Node #2: [15, 50, 16] from Operation: 92-76=16
Current State: 81:[15, 50, 16], Operations: ['92-76=16']
Exploring Operation: 15+50=65, Resulting Numbers: [16, 65]
Generated Node #3: [16, 65] from Operation: 15+50=65
Current State: 81:[16, 65], Operations: ['92-76=16', '15+50=65']
Exploring Operation: 16+65=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[76, 92, 15, 50], Operations: []
Exploring Operation: 50-15=35, Resulting Numbers: [76, 92, 35]
Generated Node #0,0: 81:[76, 92, 35] Operation: 50-15=35
Exploring Operation: 76-50=26, Resulting Numbers: [92, 15, 26]
Generated Node #0,1: 81:[92, 15, 26] Operation: 76-50=26
Moving to Node #0,1
Current State: 81:[92, 15, 26], Operations: ['76-50=26']
Exploring Operation: 26-15=11, Resulting Numbers: [92, 11]
Generated Node #0,1,0: 81:[92, 11] Operation: 26-15=11
Exploring Operation: 92-15=77, Resulting Numbers: [26, 77]
Generated Node #0,1,1: 81:[26, 77] Operation: 92-15=77
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[26, 77], Operations: ['76-50=26', '92-15=77']
Exploring Operation: 26+77=103, Resulting Numbers: [103]
103,81 unequal: No Solution
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[92, 11], Operations: ['76-50=26', '26-15=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[76, 92, 15, 50], Operations: []
Exploring Operation: 76-50=26, Resulting Numbers: [92, 15, 26]
Generated Node #0,1: 81:[92, 15, 26] Operation: 76-50=26
Moving to Node #0,1
Current State: 81:[92, 15, 26], Operations: ['76-50=26']
Exploring Operation: 26-15=11, Resulting Numbers: [92, 11]
Generated Node #0,1,0: 81:[92, 11] Operation: 26-15=11
Moving to Node #0,1,0
Current State: 81:[92, 11], Operations: ['76-50=26', '26-15=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
6,
11,
38,
25
] | 13 | [
"25-6=19",
"38/19=2",
"11+2=13"
] | Current State: 13:[6, 11, 38, 25], Operations: []
Exploring Operation: 25-6=19, Resulting Numbers: [11, 38, 19]
Generated Node #2: [11, 38, 19] from Operation: 25-6=19
Current State: 13:[11, 38, 19], Operations: ['25-6=19']
Exploring Operation: 38/19=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 38/19=2
Current State: 13:[11, 2], Operations: ['25-6=19', '38/19=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[6, 11, 38, 25], Operations: []
Exploring Operation: 25-6=19, Resulting Numbers: [11, 38, 19]
Generated Node #0,0: 13:[11, 38, 19] Operation: 25-6=19
Exploring Operation: 38-6=32, Resulting Numbers: [11, 25, 32]
Generated Node #0,1: 13:[11, 25, 32] Operation: 38-6=32
Exploring Operation: 38-25=13, Resulting Numbers: [6, 11, 13]
Generated Node #0,2: 13:[6, 11, 13] Operation: 38-25=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[6, 11, 13], Operations: ['38-25=13']
Exploring Operation: 6+13=19, Resulting Numbers: [11, 19]
Generated Node #0,2,0: 13:[11, 19] Operation: 6+13=19
Exploring Operation: 11-6=5, Resulting Numbers: [13, 5]
Generated Node #0,2,1: 13:[13, 5] Operation: 11-6=5
Exploring Operation: 6+11=17, Resulting Numbers: [13, 17]
Generated Node #0,2,2: 13:[13, 17] Operation: 6+11=17
Moving to Node #0,2,2
Current State: 13:[13, 17], Operations: ['38-25=13', '6+11=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[11, 19], Operations: ['38-25=13', '6+13=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,13 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[13, 5], Operations: ['38-25=13', '11-6=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,13 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,13 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[11, 38, 19], Operations: ['25-6=19']
Exploring Operation: 38-11=27, Resulting Numbers: [19, 27]
Generated Node #0,0,0: 13:[19, 27] Operation: 38-11=27
Exploring Operation: 38/19=2, Resulting Numbers: [11, 2]
Generated Node #0,0,1: 13:[11, 2] Operation: 38/19=2
Exploring Operation: 38-19=19, Resulting Numbers: [11, 19]
Generated Node #0,0,2: 13:[11, 19] Operation: 38-19=19
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 13:[11, 19], Operations: ['25-6=19', '38-19=19']
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,13 unequal: No Solution
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[11, 2], Operations: ['25-6=19', '38/19=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[6, 11, 38, 25], Operations: []
Exploring Operation: 25-6=19, Resulting Numbers: [11, 38, 19]
Generated Node #0,0: 13:[11, 38, 19] Operation: 25-6=19
Moving to Node #0,0
Current State: 13:[11, 38, 19], Operations: ['25-6=19']
Exploring Operation: 38/19=2, Resulting Numbers: [11, 2]
Generated Node #0,0,1: 13:[11, 2] Operation: 38/19=2
Moving to Node #0,0,1
Current State: 13:[11, 2], Operations: ['25-6=19', '38/19=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.976563 | hs_3 | sum_heuristic |
[
82,
8,
88,
67
] | 32 | [
"82-67=15",
"8*15=120",
"120-88=32"
] | Current State: 32:[82, 8, 88, 67], Operations: []
Exploring Operation: 82-67=15, Resulting Numbers: [8, 88, 15]
Generated Node #2: [8, 88, 15] from Operation: 82-67=15
Current State: 32:[8, 88, 15], Operations: ['82-67=15']
Exploring Operation: 8*15=120, Resulting Numbers: [88, 120]
Generated Node #3: [88, 120] from Operation: 8*15=120
Current State: 32:[88, 120], Operations: ['82-67=15', '8*15=120']
Exploring Operation: 120-88=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[82, 8, 88, 67], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [82, 8, 21]
Generated Node #0,0: 32:[82, 8, 21] Operation: 88-67=21
Exploring Operation: 88-82=6, Resulting Numbers: [8, 67, 6]
Generated Node #0,1: 32:[8, 67, 6] Operation: 88-82=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[8, 67, 6], Operations: ['88-82=6']
Exploring Operation: 67-6=61, Resulting Numbers: [8, 61]
Generated Node #0,1,0: 32:[8, 61] Operation: 67-6=61
Exploring Operation: 67-8=59, Resulting Numbers: [6, 59]
Generated Node #0,1,1: 32:[6, 59] Operation: 67-8=59
Moving to Node #0,1,0
Current State: 32:[8, 61], Operations: ['88-82=6', '67-6=61']
Exploring Operation: 8+61=69, Resulting Numbers: [69]
69,32 unequal: No Solution
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[6, 59], Operations: ['88-82=6', '67-8=59']
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,32 unequal: No Solution
Exploring Operation: 6+59=65, Resulting Numbers: [65]
65,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[82, 8, 21], Operations: ['88-67=21']
Exploring Operation: 82-8=74, Resulting Numbers: [21, 74]
Generated Node #0,0,0: 32:[21, 74] Operation: 82-8=74
Exploring Operation: 82-21=61, Resulting Numbers: [8, 61]
Generated Node #0,0,1: 32:[8, 61] Operation: 82-21=61
Moving to Node #0,0,1
Current State: 32:[8, 61], Operations: ['88-67=21', '82-21=61']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,32 unequal: No Solution
Exploring Operation: 8+61=69, Resulting Numbers: [69]
69,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[21, 74], Operations: ['88-67=21', '82-8=74']
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,32 unequal: No Solution
Exploring Operation: 21+74=95, Resulting Numbers: [95]
95,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
83,
65,
57,
5
] | 33 | [
"83-65=18",
"5*18=90",
"90-57=33"
] | Current State: 33:[83, 65, 57, 5], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [57, 5, 18]
Generated Node #2: [57, 5, 18] from Operation: 83-65=18
Current State: 33:[57, 5, 18], Operations: ['83-65=18']
Exploring Operation: 5*18=90, Resulting Numbers: [57, 90]
Generated Node #3: [57, 90] from Operation: 5*18=90
Current State: 33:[57, 90], Operations: ['83-65=18', '5*18=90']
Exploring Operation: 90-57=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[83, 65, 57, 5], Operations: []
Exploring Operation: 83-5=78, Resulting Numbers: [65, 57, 78]
Generated Node #0,0: 33:[65, 57, 78] Operation: 83-5=78
Exploring Operation: 65/5=13, Resulting Numbers: [83, 57, 13]
Generated Node #0,1: 33:[83, 57, 13] Operation: 65/5=13
Exploring Operation: 83-65=18, Resulting Numbers: [57, 5, 18]
Generated Node #0,2: 33:[57, 5, 18] Operation: 83-65=18
Exploring Operation: 83-57=26, Resulting Numbers: [65, 5, 26]
Generated Node #0,3: 33:[65, 5, 26] Operation: 83-57=26
Exploring Operation: 65-57=8, Resulting Numbers: [83, 5, 8]
Generated Node #0,4: 33:[83, 5, 8] Operation: 65-57=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[57, 5, 18], Operations: ['83-65=18']
Exploring Operation: 57-18=39, Resulting Numbers: [5, 39]
Generated Node #0,2,0: 33:[5, 39] Operation: 57-18=39
Exploring Operation: 57+5=62, Resulting Numbers: [18, 62]
Generated Node #0,2,1: 33:[18, 62] Operation: 57+5=62
Exploring Operation: 57-5=52, Resulting Numbers: [18, 52]
Generated Node #0,2,2: 33:[18, 52] Operation: 57-5=52
Exploring Operation: 5+18=23, Resulting Numbers: [57, 23]
Generated Node #0,2,3: 33:[57, 23] Operation: 5+18=23
Exploring Operation: 18-5=13, Resulting Numbers: [57, 13]
Generated Node #0,2,4: 33:[57, 13] Operation: 18-5=13
Moving to Node #0,2,0
Current State: 33:[5, 39], Operations: ['83-65=18', '57-18=39']
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Exploring Operation: 5*39=195, Resulting Numbers: [195]
195,33 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Moving to Node #0,2,4
Current State: 33:[57, 13], Operations: ['83-65=18', '18-5=13']
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,33 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[18, 52], Operations: ['83-65=18', '57-5=52']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 18*52=936, Resulting Numbers: [936]
936,33 unequal: No Solution
Exploring Operation: 18+52=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[57, 23], Operations: ['83-65=18', '5+18=23']
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,33 unequal: No Solution
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,33 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[18, 62], Operations: ['83-65=18', '57+5=62']
Exploring Operation: 18*62=1116, Resulting Numbers: [1116]
1116,33 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Exploring Operation: 18+62=80, Resulting Numbers: [80]
80,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[65, 5, 26], Operations: ['83-57=26']
Exploring Operation: 65-26=39, Resulting Numbers: [5, 39]
Generated Node #0,3,0: 33:[5, 39] Operation: 65-26=39
Exploring Operation: 65-5=60, Resulting Numbers: [26, 60]
Generated Node #0,3,1: 33:[26, 60] Operation: 65-5=60
Exploring Operation: 65/5=13, Resulting Numbers: [26, 13]
Generated Node #0,3,2: 33:[26, 13] Operation: 65/5=13
Exploring Operation: 26-5=21, Resulting Numbers: [65, 21]
Generated Node #0,3,3: 33:[65, 21] Operation: 26-5=21
Exploring Operation: 5+26=31, Resulting Numbers: [65, 31]
Generated Node #0,3,4: 33:[65, 31] Operation: 5+26=31
Moving to Node #0,3,0
Current State: 33:[5, 39], Operations: ['83-57=26', '65-26=39']
Exploring Operation: 5*39=195, Resulting Numbers: [195]
195,33 unequal: No Solution
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[26, 13], Operations: ['83-57=26', '65/5=13']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 26*13=338, Resulting Numbers: [338]
338,33 unequal: No Solution
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[26, 60], Operations: ['83-57=26', '65-5=60']
Exploring Operation: 26+60=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Exploring Operation: 26*60=1560, Resulting Numbers: [1560]
1560,33 unequal: No Solution
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Moving to Node #0,3,4
Current State: 33:[65, 31], Operations: ['83-57=26', '5+26=31']
Exploring Operation: 65+31=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Exploring Operation: 65*31=2015, Resulting Numbers: [2015]
2015,33 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[65, 21], Operations: ['83-57=26', '26-5=21']
Exploring Operation: 65*21=1365, Resulting Numbers: [1365]
1365,33 unequal: No Solution
Exploring Operation: 65+21=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 33:[83, 5, 8], Operations: ['65-57=8']
Exploring Operation: 83-8=75, Resulting Numbers: [5, 75]
Generated Node #0,4,0: 33:[5, 75] Operation: 83-8=75
Exploring Operation: 83-5=78, Resulting Numbers: [8, 78]
Generated Node #0,4,1: 33:[8, 78] Operation: 83-5=78
Exploring Operation: 5+8=13, Resulting Numbers: [83, 13]
Generated Node #0,4,2: 33:[83, 13] Operation: 5+8=13
Exploring Operation: 8-5=3, Resulting Numbers: [83, 3]
Generated Node #0,4,3: 33:[83, 3] Operation: 8-5=3
Exploring Operation: 5*8=40, Resulting Numbers: [83, 40]
Generated Node #0,4,4: 33:[83, 40] Operation: 5*8=40
Moving to Node #0,4,0
Current State: 33:[5, 75], Operations: ['65-57=8', '83-8=75']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,33 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Exploring Operation: 5*75=375, Resulting Numbers: [375]
375,33 unequal: No Solution
Moving to Node #0,4,1
Current State: 33:[8, 78], Operations: ['65-57=8', '83-5=78']
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Exploring Operation: 8*78=624, Resulting Numbers: [624]
624,33 unequal: No Solution
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Moving to Node #0,4,3
Current State: 33:[83, 3], Operations: ['65-57=8', '8-5=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Exploring Operation: 83*3=249, Resulting Numbers: [249]
249,33 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,33 unequal: No Solution
Moving to Node #0,4,2
Current State: 33:[83, 13], Operations: ['65-57=8', '5+8=13']
Exploring Operation: 83*13=1079, Resulting Numbers: [1079]
1079,33 unequal: No Solution
Exploring Operation: 83-13=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Exploring Operation: 83+13=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Moving to Node #0,4,4
Current State: 33:[83, 40], Operations: ['65-57=8', '5*8=40']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,33 unequal: No Solution
Exploring Operation: 83+40=123, Resulting Numbers: [123]
123,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[83, 57, 13], Operations: ['65/5=13']
Exploring Operation: 83-13=70, Resulting Numbers: [57, 70]
Generated Node #0,1,0: 33:[57, 70] Operation: 83-13=70
Exploring Operation: 57-13=44, Resulting Numbers: [83, 44]
Generated Node #0,1,1: 33:[83, 44] Operation: 57-13=44
Exploring Operation: 83-57=26, Resulting Numbers: [13, 26]
Generated Node #0,1,2: 33:[13, 26] Operation: 83-57=26
Exploring Operation: 57+13=70, Resulting Numbers: [83, 70]
Generated Node #0,1,3: 33:[83, 70] Operation: 57+13=70
Exploring Operation: 83+13=96, Resulting Numbers: [57, 96]
Generated Node #0,1,4: 33:[57, 96] Operation: 83+13=96
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 33:[13, 26], Operations: ['65/5=13', '83-57=26']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 13*26=338, Resulting Numbers: [338]
338,33 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[57, 70], Operations: ['65/5=13', '83-13=70']
Exploring Operation: 57+70=127, Resulting Numbers: [127]
127,33 unequal: No Solution
Exploring Operation: 57*70=3990, Resulting Numbers: [3990]
3990,33 unequal: No Solution
Exploring Operation: 70-57=13, Resulting Numbers: [13]
13,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[83, 44], Operations: ['65/5=13', '57-13=44']
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 83+44=127, Resulting Numbers: [127]
127,33 unequal: No Solution
Exploring Operation: 83*44=3652, Resulting Numbers: [3652]
3652,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 33:[83, 70], Operations: ['65/5=13', '57+13=70']
Exploring Operation: 83*70=5810, Resulting Numbers: [5810]
5810,33 unequal: No Solution
Exploring Operation: 83+70=153, Resulting Numbers: [153]
153,33 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 33:[57, 96], Operations: ['65/5=13', '83+13=96']
Exploring Operation: 57+96=153, Resulting Numbers: [153]
153,33 unequal: No Solution
Exploring Operation: 96-57=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 57*96=5472, Resulting Numbers: [5472]
5472,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[65, 57, 78], Operations: ['83-5=78']
Exploring Operation: 65+57=122, Resulting Numbers: [78, 122]
Generated Node #0,0,0: 33:[78, 122] Operation: 65+57=122
Exploring Operation: 65-57=8, Resulting Numbers: [78, 8]
Generated Node #0,0,1: 33:[78, 8] Operation: 65-57=8
Exploring Operation: 78-65=13, Resulting Numbers: [57, 13]
Generated Node #0,0,2: 33:[57, 13] Operation: 78-65=13
Exploring Operation: 78-57=21, Resulting Numbers: [65, 21]
Generated Node #0,0,3: 33:[65, 21] Operation: 78-57=21
Exploring Operation: 65+78=143, Resulting Numbers: [57, 143]
Generated Node #0,0,4: 33:[57, 143] Operation: 65+78=143
Moving to Node #0,0,2
Current State: 33:[57, 13], Operations: ['83-5=78', '78-65=13']
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,33 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[65, 21], Operations: ['83-5=78', '78-57=21']
Exploring Operation: 65+21=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Exploring Operation: 65*21=1365, Resulting Numbers: [1365]
1365,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[78, 8], Operations: ['83-5=78', '65-57=8']
Exploring Operation: 78+8=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Exploring Operation: 78*8=624, Resulting Numbers: [624]
624,33 unequal: No Solution
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[78, 122], Operations: ['83-5=78', '65+57=122']
Exploring Operation: 78+122=200, Resulting Numbers: [200]
200,33 unequal: No Solution
Exploring Operation: 122-78=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Exploring Operation: 78*122=9516, Resulting Numbers: [9516]
9516,33 unequal: No Solution
Moving to Node #0,0,4
Current State: 33:[57, 143], Operations: ['83-5=78', '65+78=143']
Exploring Operation: 57*143=8151, Resulting Numbers: [8151]
8151,33 unequal: No Solution
Exploring Operation: 143-57=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Exploring Operation: 57+143=200, Resulting Numbers: [200]
200,33 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 |
[
18,
76,
96,
95
] | 58 | [
"76-18=58",
"96-95=1",
"58*1=58"
] | Current State: 58:[18, 76, 96, 95], Operations: []
Exploring Operation: 76-18=58, Resulting Numbers: [96, 95, 58]
Generated Node #2: [96, 95, 58] from Operation: 76-18=58
Current State: 58:[96, 95, 58], Operations: ['76-18=58']
Exploring Operation: 96-95=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 96-95=1
Current State: 58:[58, 1], Operations: ['76-18=58', '96-95=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[18, 76, 96, 95], Operations: []
Exploring Operation: 95-76=19, Resulting Numbers: [18, 96, 19]
Generated Node #0,0: 58:[18, 96, 19] Operation: 95-76=19
Exploring Operation: 96-95=1, Resulting Numbers: [18, 76, 1]
Generated Node #0,1: 58:[18, 76, 1] Operation: 96-95=1
Exploring Operation: 76-18=58, Resulting Numbers: [96, 95, 58]
Generated Node #0,2: 58:[96, 95, 58] Operation: 76-18=58
Exploring Operation: 96-76=20, Resulting Numbers: [18, 95, 20]
Generated Node #0,3: 58:[18, 95, 20] Operation: 96-76=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[18, 76, 1], Operations: ['96-95=1']
Exploring Operation: 76-18=58, Resulting Numbers: [1, 58]
Generated Node #0,1,0: 58:[1, 58] Operation: 76-18=58
Exploring Operation: 76-1=75, Resulting Numbers: [18, 75]
Generated Node #0,1,1: 58:[18, 75] Operation: 76-1=75
Exploring Operation: 18*1=18, Resulting Numbers: [76, 18]
Generated Node #0,1,2: 58:[76, 18] Operation: 18*1=18
Exploring Operation: 18+1=19, Resulting Numbers: [76, 19]
Generated Node #0,1,3: 58:[76, 19] Operation: 18+1=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[1, 58], Operations: ['96-95=1', '76-18=58']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 1+58=59, Resulting Numbers: [59]
59,58 unequal: No Solution
Exploring Operation: 1*58=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[18, 76, 96, 95], Operations: []
Exploring Operation: 96-95=1, Resulting Numbers: [18, 76, 1]
Generated Node #0,1: 58:[18, 76, 1] Operation: 96-95=1
Moving to Node #0,1
Current State: 58:[18, 76, 1], Operations: ['96-95=1']
Exploring Operation: 76-18=58, Resulting Numbers: [1, 58]
Generated Node #0,1,0: 58:[1, 58] Operation: 76-18=58
Moving to Node #0,1,0
Current State: 58:[1, 58], Operations: ['96-95=1', '76-18=58']
Exploring Operation: 1*58=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
64,
86,
14,
6
] | 81 | [
"64+6=70",
"70/14=5",
"86-5=81"
] | Current State: 81:[64, 86, 14, 6], Operations: []
Exploring Operation: 64+6=70, Resulting Numbers: [86, 14, 70]
Generated Node #2: [86, 14, 70] from Operation: 64+6=70
Current State: 81:[86, 14, 70], Operations: ['64+6=70']
Exploring Operation: 70/14=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 70/14=5
Current State: 81:[86, 5], Operations: ['64+6=70', '70/14=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[64, 86, 14, 6], Operations: []
Exploring Operation: 64+14=78, Resulting Numbers: [86, 6, 78]
Generated Node #0,0: 81:[86, 6, 78] Operation: 64+14=78
Moving to Node #0,0
Current State: 81:[86, 6, 78], Operations: ['64+14=78']
Exploring Operation: 86-6=80, Resulting Numbers: [78, 80]
Generated Node #0,0,0: 81:[78, 80] Operation: 86-6=80
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[78, 80], Operations: ['64+14=78', '86-6=80']
Exploring Operation: 80-78=2, Resulting Numbers: [2]
2,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
69,
78,
72,
20
] | 61 | [
"78-69=9",
"72-20=52",
"9+52=61"
] | Current State: 61:[69, 78, 72, 20], Operations: []
Exploring Operation: 78-69=9, Resulting Numbers: [72, 20, 9]
Generated Node #2: [72, 20, 9] from Operation: 78-69=9
Current State: 61:[72, 20, 9], Operations: ['78-69=9']
Exploring Operation: 72-20=52, Resulting Numbers: [9, 52]
Generated Node #3: [9, 52] from Operation: 72-20=52
Current State: 61:[9, 52], Operations: ['78-69=9', '72-20=52']
Exploring Operation: 9+52=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[69, 78, 72, 20], Operations: []
Exploring Operation: 69+20=89, Resulting Numbers: [78, 72, 89]
Generated Node #0,0: 61:[78, 72, 89] Operation: 69+20=89
Exploring Operation: 72-20=52, Resulting Numbers: [69, 78, 52]
Generated Node #0,1: 61:[69, 78, 52] Operation: 72-20=52
Exploring Operation: 78-20=58, Resulting Numbers: [69, 72, 58]
Generated Node #0,2: 61:[69, 72, 58] Operation: 78-20=58
Exploring Operation: 69-20=49, Resulting Numbers: [78, 72, 49]
Generated Node #0,3: 61:[78, 72, 49] Operation: 69-20=49
Exploring Operation: 78+20=98, Resulting Numbers: [69, 72, 98]
Generated Node #0,4: 61:[69, 72, 98] Operation: 78+20=98
Moving to Node #0,2
Current State: 61:[69, 72, 58], Operations: ['78-20=58']
Exploring Operation: 72-69=3, Resulting Numbers: [58, 3]
Generated Node #0,2,0: 61:[58, 3] Operation: 72-69=3
Exploring Operation: 69-58=11, Resulting Numbers: [72, 11]
Generated Node #0,2,1: 61:[72, 11] Operation: 69-58=11
Exploring Operation: 72+58=130, Resulting Numbers: [69, 130]
Generated Node #0,2,2: 61:[69, 130] Operation: 72+58=130
Exploring Operation: 69+58=127, Resulting Numbers: [72, 127]
Generated Node #0,2,3: 61:[72, 127] Operation: 69+58=127
Exploring Operation: 72-58=14, Resulting Numbers: [69, 14]
Generated Node #0,2,4: 61:[69, 14] Operation: 72-58=14
Moving to Node #0,1
Current State: 61:[69, 78, 52], Operations: ['72-20=52']
Exploring Operation: 78-52=26, Resulting Numbers: [69, 26]
Generated Node #0,1,0: 61:[69, 26] Operation: 78-52=26
Exploring Operation: 78+52=130, Resulting Numbers: [69, 130]
Generated Node #0,1,1: 61:[69, 130] Operation: 78+52=130
Exploring Operation: 69+52=121, Resulting Numbers: [78, 121]
Generated Node #0,1,2: 61:[78, 121] Operation: 69+52=121
Exploring Operation: 78-69=9, Resulting Numbers: [52, 9]
Generated Node #0,1,3: 61:[52, 9] Operation: 78-69=9
Exploring Operation: 69-52=17, Resulting Numbers: [78, 17]
Generated Node #0,1,4: 61:[78, 17] Operation: 69-52=17
Moving to Node #0,3
Current State: 61:[78, 72, 49], Operations: ['69-20=49']
Exploring Operation: 78+49=127, Resulting Numbers: [72, 127]
Generated Node #0,3,0: 61:[72, 127] Operation: 78+49=127
Exploring Operation: 72+49=121, Resulting Numbers: [78, 121]
Generated Node #0,3,1: 61:[78, 121] Operation: 72+49=121
Exploring Operation: 78-49=29, Resulting Numbers: [72, 29]
Generated Node #0,3,2: 61:[72, 29] Operation: 78-49=29
Exploring Operation: 72-49=23, Resulting Numbers: [78, 23]
Generated Node #0,3,3: 61:[78, 23] Operation: 72-49=23
Exploring Operation: 78-72=6, Resulting Numbers: [49, 6]
Generated Node #0,3,4: 61:[49, 6] Operation: 78-72=6
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 61:[72, 29], Operations: ['69-20=49', '78-49=29']
Exploring Operation: 72*29=2088, Resulting Numbers: [2088]
2088,61 unequal: No Solution
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 72+29=101, Resulting Numbers: [101]
101,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 61:[78, 23], Operations: ['69-20=49', '72-49=23']
Exploring Operation: 78+23=101, Resulting Numbers: [101]
101,61 unequal: No Solution
Exploring Operation: 78*23=1794, Resulting Numbers: [1794]
1794,61 unequal: No Solution
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 61:[49, 6], Operations: ['69-20=49', '78-72=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 49*6=294, Resulting Numbers: [294]
294,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 61:[72, 127], Operations: ['69-20=49', '78+49=127']
Exploring Operation: 72*127=9144, Resulting Numbers: [9144]
9144,61 unequal: No Solution
Exploring Operation: 72+127=199, Resulting Numbers: [199]
199,61 unequal: No Solution
Exploring Operation: 127-72=55, Resulting Numbers: [55]
55,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 61:[78, 121], Operations: ['69-20=49', '72+49=121']
Exploring Operation: 121-78=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 78*121=9438, Resulting Numbers: [9438]
9438,61 unequal: No Solution
Exploring Operation: 78+121=199, Resulting Numbers: [199]
199,61 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: 61:[78, 72, 89], Operations: ['69+20=89']
Exploring Operation: 89-72=17, Resulting Numbers: [78, 17]
Generated Node #0,0,0: 61:[78, 17] Operation: 89-72=17
Exploring Operation: 89-78=11, Resulting Numbers: [72, 11]
Generated Node #0,0,1: 61:[72, 11] Operation: 89-78=11
Exploring Operation: 78-72=6, Resulting Numbers: [89, 6]
Generated Node #0,0,2: 61:[89, 6] Operation: 78-72=6
Exploring Operation: 78+72=150, Resulting Numbers: [89, 150]
Generated Node #0,0,3: 61:[89, 150] Operation: 78+72=150
Exploring Operation: 78+89=167, Resulting Numbers: [72, 167]
Generated Node #0,0,4: 61:[72, 167] Operation: 78+89=167
Moving to Node #0,4
Current State: 61:[69, 72, 98], Operations: ['78+20=98']
Exploring Operation: 69+98=167, Resulting Numbers: [72, 167]
Generated Node #0,4,0: 61:[72, 167] Operation: 69+98=167
Exploring Operation: 72-69=3, Resulting Numbers: [98, 3]
Generated Node #0,4,1: 61:[98, 3] Operation: 72-69=3
Exploring Operation: 98-69=29, Resulting Numbers: [72, 29]
Generated Node #0,4,2: 61:[72, 29] Operation: 98-69=29
Exploring Operation: 69+72=141, Resulting Numbers: [98, 141]
Generated Node #0,4,3: 61:[98, 141] Operation: 69+72=141
Exploring Operation: 98-72=26, Resulting Numbers: [69, 26]
Generated Node #0,4,4: 61:[69, 26] Operation: 98-72=26
Moving to Node #0,1,0
Current State: 61:[69, 26], Operations: ['72-20=52', '78-52=26']
Exploring Operation: 69+26=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Exploring Operation: 69*26=1794, Resulting Numbers: [1794]
1794,61 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Moving to Node #0,4,2
Current State: 61:[72, 29], Operations: ['78+20=98', '98-69=29']
Exploring Operation: 72+29=101, Resulting Numbers: [101]
101,61 unequal: No Solution
Exploring Operation: 72*29=2088, Resulting Numbers: [2088]
2088,61 unequal: No Solution
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Moving to Node #0,4,4
Current State: 61:[69, 26], Operations: ['78+20=98', '98-72=26']
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 69+26=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Exploring Operation: 69*26=1794, Resulting Numbers: [1794]
1794,61 unequal: No Solution
Moving to Node #0,2,4
Current State: 61:[69, 14], Operations: ['78-20=58', '72-58=14']
Exploring Operation: 69*14=966, Resulting Numbers: [966]
966,61 unequal: No Solution
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Exploring Operation: 69+14=83, Resulting Numbers: [83]
83,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[52, 9], Operations: ['72-20=52', '78-69=9']
Exploring Operation: 52*9=468, Resulting Numbers: [468]
468,61 unequal: No Solution
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[69, 78, 72, 20], Operations: []
Exploring Operation: 72-20=52, Resulting Numbers: [69, 78, 52]
Generated Node #0,1: 61:[69, 78, 52] Operation: 72-20=52
Moving to Node #0,1
Current State: 61:[69, 78, 52], Operations: ['72-20=52']
Exploring Operation: 78-69=9, Resulting Numbers: [52, 9]
Generated Node #0,1,3: 61:[52, 9] Operation: 78-69=9
Moving to Node #0,1,3
Current State: 61:[52, 9], Operations: ['72-20=52', '78-69=9']
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 0.944444 | hs_5 | sum_heuristic |
[
68,
50,
58,
65
] | 60 | [
"68-58=10",
"50/10=5",
"65-5=60"
] | Current State: 60:[68, 50, 58, 65], Operations: []
Exploring Operation: 68-58=10, Resulting Numbers: [50, 65, 10]
Generated Node #2: [50, 65, 10] from Operation: 68-58=10
Current State: 60:[50, 65, 10], Operations: ['68-58=10']
Exploring Operation: 50/10=5, Resulting Numbers: [65, 5]
Generated Node #3: [65, 5] from Operation: 50/10=5
Current State: 60:[65, 5], Operations: ['68-58=10', '50/10=5']
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[68, 50, 58, 65], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [68, 58, 15]
Generated Node #0,0: 60:[68, 58, 15] Operation: 65-50=15
Exploring Operation: 68-65=3, Resulting Numbers: [50, 58, 3]
Generated Node #0,1: 60:[50, 58, 3] Operation: 68-65=3
Exploring Operation: 68-50=18, Resulting Numbers: [58, 65, 18]
Generated Node #0,2: 60:[58, 65, 18] Operation: 68-50=18
Moving to Node #0,2
Current State: 60:[58, 65, 18], Operations: ['68-50=18']
Exploring Operation: 58-18=40, Resulting Numbers: [65, 40]
Generated Node #0,2,0: 60:[65, 40] Operation: 58-18=40
Exploring Operation: 65-18=47, Resulting Numbers: [58, 47]
Generated Node #0,2,1: 60:[58, 47] Operation: 65-18=47
Exploring Operation: 65-58=7, Resulting Numbers: [18, 7]
Generated Node #0,2,2: 60:[18, 7] Operation: 65-58=7
Moving to Node #0,0
Current State: 60:[68, 58, 15], Operations: ['65-50=15']
Exploring Operation: 68-15=53, Resulting Numbers: [58, 53]
Generated Node #0,0,0: 60:[58, 53] Operation: 68-15=53
Exploring Operation: 68-58=10, Resulting Numbers: [15, 10]
Generated Node #0,0,1: 60:[15, 10] Operation: 68-58=10
Exploring Operation: 58+15=73, Resulting Numbers: [68, 73]
Generated Node #0,0,2: 60:[68, 73] Operation: 58+15=73
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[15, 10], Operations: ['65-50=15', '68-58=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,60 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[58, 53], Operations: ['65-50=15', '68-15=53']
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,60 unequal: No Solution
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 60:[68, 73], Operations: ['65-50=15', '58+15=73']
Exploring Operation: 68+73=141, Resulting Numbers: [141]
141,60 unequal: No Solution
Exploring Operation: 68*73=4964, Resulting Numbers: [4964]
4964,60 unequal: No Solution
Exploring Operation: 73-68=5, Resulting Numbers: [5]
5,60 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: 60:[50, 58, 3], Operations: ['68-65=3']
Exploring Operation: 50+3=53, Resulting Numbers: [58, 53]
Generated Node #0,1,0: 60:[58, 53] Operation: 50+3=53
Exploring Operation: 58-50=8, Resulting Numbers: [3, 8]
Generated Node #0,1,1: 60:[3, 8] Operation: 58-50=8
Exploring Operation: 58+3=61, Resulting Numbers: [50, 61]
Generated Node #0,1,2: 60:[50, 61] Operation: 58+3=61
Moving to Node #0,1,1
Current State: 60:[3, 8], Operations: ['68-65=3', '58-50=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[18, 7], Operations: ['68-50=18', '65-58=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,60 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[58, 53], Operations: ['68-65=3', '50+3=53']
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,60 unequal: No Solution
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,60 unequal: No Solution
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[50, 61], Operations: ['68-65=3', '58+3=61']
Exploring Operation: 50*61=3050, Resulting Numbers: [3050]
3050,60 unequal: No Solution
Exploring Operation: 61-50=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 50+61=111, Resulting Numbers: [111]
111,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[65, 40], Operations: ['68-50=18', '58-18=40']
Exploring Operation: 65*40=2600, Resulting Numbers: [2600]
2600,60 unequal: No Solution
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,60 unequal: No Solution
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,60 unequal: No Solution
Moving to Node #0,2,1
Current State: 60:[58, 47], Operations: ['68-50=18', '65-18=47']
Exploring Operation: 58+47=105, Resulting Numbers: [105]
105,60 unequal: No Solution
Exploring Operation: 58*47=2726, Resulting Numbers: [2726]
2726,60 unequal: No Solution
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,60 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
61,
45,
48
] | 25 | [
"14+61=75",
"48-45=3",
"75/3=25"
] | Current State: 25:[14, 61, 45, 48], Operations: []
Exploring Operation: 14+61=75, Resulting Numbers: [45, 48, 75]
Generated Node #2: [45, 48, 75] from Operation: 14+61=75
Current State: 25:[45, 48, 75], Operations: ['14+61=75']
Exploring Operation: 48-45=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 48-45=3
Current State: 25:[75, 3], Operations: ['14+61=75', '48-45=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[14, 61, 45, 48], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [14, 61, 3]
Generated Node #0,0: 25:[14, 61, 3] Operation: 48-45=3
Exploring Operation: 45-14=31, Resulting Numbers: [61, 48, 31]
Generated Node #0,1: 25:[61, 48, 31] Operation: 45-14=31
Exploring Operation: 61-14=47, Resulting Numbers: [45, 48, 47]
Generated Node #0,2: 25:[45, 48, 47] Operation: 61-14=47
Exploring Operation: 61-48=13, Resulting Numbers: [14, 45, 13]
Generated Node #0,3: 25:[14, 45, 13] Operation: 61-48=13
Exploring Operation: 61-45=16, Resulting Numbers: [14, 48, 16]
Generated Node #0,4: 25:[14, 48, 16] Operation: 61-45=16
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[14, 45, 13], Operations: ['61-48=13']
Exploring Operation: 14+13=27, Resulting Numbers: [45, 27]
Generated Node #0,3,0: 25:[45, 27] Operation: 14+13=27
Exploring Operation: 45-14=31, Resulting Numbers: [13, 31]
Generated Node #0,3,1: 25:[13, 31] Operation: 45-14=31
Exploring Operation: 14+45=59, Resulting Numbers: [13, 59]
Generated Node #0,3,2: 25:[13, 59] Operation: 14+45=59
Exploring Operation: 45-13=32, Resulting Numbers: [14, 32]
Generated Node #0,3,3: 25:[14, 32] Operation: 45-13=32
Exploring Operation: 14-13=1, Resulting Numbers: [45, 1]
Generated Node #0,3,4: 25:[45, 1] Operation: 14-13=1
Moving to Node #0,3,1
Current State: 25:[13, 31], Operations: ['61-48=13', '45-14=31']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[14, 32], Operations: ['61-48=13', '45-13=32']
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,25 unequal: No Solution
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[45, 27], Operations: ['61-48=13', '14+13=27']
Exploring Operation: 45*27=1215, Resulting Numbers: [1215]
1215,25 unequal: No Solution
Exploring Operation: 45+27=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Moving to Node #0,3,4
Current State: 25:[45, 1], Operations: ['61-48=13', '14-13=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[13, 59], Operations: ['61-48=13', '14+45=59']
Exploring Operation: 13*59=767, Resulting Numbers: [767]
767,25 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 13+59=72, Resulting Numbers: [72]
72,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 25:[14, 48, 16], Operations: ['61-45=16']
Exploring Operation: 48/16=3, Resulting Numbers: [14, 3]
Generated Node #0,4,0: 25:[14, 3] Operation: 48/16=3
Exploring Operation: 48-14=34, Resulting Numbers: [16, 34]
Generated Node #0,4,1: 25:[16, 34] Operation: 48-14=34
Exploring Operation: 16-14=2, Resulting Numbers: [48, 2]
Generated Node #0,4,2: 25:[48, 2] Operation: 16-14=2
Exploring Operation: 48-16=32, Resulting Numbers: [14, 32]
Generated Node #0,4,3: 25:[14, 32] Operation: 48-16=32
Exploring Operation: 14+16=30, Resulting Numbers: [48, 30]
Generated Node #0,4,4: 25:[48, 30] Operation: 14+16=30
Moving to Node #0,4,0
Current State: 25:[14, 3], Operations: ['61-45=16', '48/16=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,25 unequal: No Solution
Moving to Node #0,4,3
Current State: 25:[14, 32], Operations: ['61-45=16', '48-16=32']
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,25 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Moving to Node #0,4,1
Current State: 25:[16, 34], Operations: ['61-45=16', '48-14=34']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,25 unequal: No Solution
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[48, 2], Operations: ['61-45=16', '16-14=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Moving to Node #0,4,4
Current State: 25:[48, 30], Operations: ['61-45=16', '14+16=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 48*30=1440, Resulting Numbers: [1440]
1440,25 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[14, 61, 3], Operations: ['48-45=3']
Exploring Operation: 61+3=64, Resulting Numbers: [14, 64]
Generated Node #0,0,0: 25:[14, 64] Operation: 61+3=64
Exploring Operation: 61-14=47, Resulting Numbers: [3, 47]
Generated Node #0,0,1: 25:[3, 47] Operation: 61-14=47
Exploring Operation: 61-3=58, Resulting Numbers: [14, 58]
Generated Node #0,0,2: 25:[14, 58] Operation: 61-3=58
Exploring Operation: 14+3=17, Resulting Numbers: [61, 17]
Generated Node #0,0,3: 25:[61, 17] Operation: 14+3=17
Exploring Operation: 14-3=11, Resulting Numbers: [61, 11]
Generated Node #0,0,4: 25:[61, 11] Operation: 14-3=11
Moving to Node #0,0,1
Current State: 25:[3, 47], Operations: ['48-45=3', '61-14=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,25 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Moving to Node #0,0,4
Current State: 25:[61, 11], Operations: ['48-45=3', '14-3=11']
Exploring Operation: 61*11=671, Resulting Numbers: [671]
671,25 unequal: No Solution
Exploring Operation: 61+11=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 61-11=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[14, 58], Operations: ['48-45=3', '61-3=58']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Exploring Operation: 14*58=812, Resulting Numbers: [812]
812,25 unequal: No Solution
Exploring Operation: 14+58=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[61, 17], Operations: ['48-45=3', '14+3=17']
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Exploring Operation: 61*17=1037, Resulting Numbers: [1037]
1037,25 unequal: No Solution
Exploring Operation: 61+17=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[14, 64], Operations: ['48-45=3', '61+3=64']
Exploring Operation: 14+64=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 14*64=896, Resulting Numbers: [896]
896,25 unequal: No Solution
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[61, 48, 31], Operations: ['45-14=31']
Exploring Operation: 61-31=30, Resulting Numbers: [48, 30]
Generated Node #0,1,0: 25:[48, 30] Operation: 61-31=30
Exploring Operation: 48-31=17, Resulting Numbers: [61, 17]
Generated Node #0,1,1: 25:[61, 17] Operation: 48-31=17
Exploring Operation: 61-48=13, Resulting Numbers: [31, 13]
Generated Node #0,1,2: 25:[31, 13] Operation: 61-48=13
Exploring Operation: 61+31=92, Resulting Numbers: [48, 92]
Generated Node #0,1,3: 25:[48, 92] Operation: 61+31=92
Exploring Operation: 61+48=109, Resulting Numbers: [31, 109]
Generated Node #0,1,4: 25:[31, 109] Operation: 61+48=109
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 25:[31, 13], Operations: ['45-14=31', '61-48=13']
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 31*13=403, Resulting Numbers: [403]
403,25 unequal: No Solution
No 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: 25:[48, 30], Operations: ['45-14=31', '61-31=30']
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 48*30=1440, Resulting Numbers: [1440]
1440,25 unequal: No Solution
No 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: 25:[61, 17], Operations: ['45-14=31', '48-31=17']
Exploring Operation: 61+17=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Exploring Operation: 61*17=1037, Resulting Numbers: [1037]
1037,25 unequal: No Solution
No 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: 25:[48, 92], Operations: ['45-14=31', '61+31=92']
Exploring Operation: 48*92=4416, Resulting Numbers: [4416]
4416,25 unequal: No Solution
Exploring Operation: 48+92=140, Resulting Numbers: [140]
140,25 unequal: No Solution
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,25 unequal: No Solution
No 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: 25:[31, 109], Operations: ['45-14=31', '61+48=109']
Exploring Operation: 31*109=3379, Resulting Numbers: [3379]
3379,25 unequal: No Solution
Exploring Operation: 109-31=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 31+109=140, Resulting Numbers: [140]
140,25 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: 25:[45, 48, 47], Operations: ['61-14=47']
Exploring Operation: 45+47=92, Resulting Numbers: [48, 92]
Generated Node #0,2,0: 25:[48, 92] Operation: 45+47=92
Exploring Operation: 47-45=2, Resulting Numbers: [48, 2]
Generated Node #0,2,1: 25:[48, 2] Operation: 47-45=2
Exploring Operation: 45+48=93, Resulting Numbers: [47, 93]
Generated Node #0,2,2: 25:[47, 93] Operation: 45+48=93
Exploring Operation: 48-45=3, Resulting Numbers: [47, 3]
Generated Node #0,2,3: 25:[47, 3] Operation: 48-45=3
Exploring Operation: 48-47=1, Resulting Numbers: [45, 1]
Generated Node #0,2,4: 25:[45, 1] Operation: 48-47=1
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 25:[47, 3], Operations: ['61-14=47', '48-45=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 25:[45, 1], Operations: ['61-14=47', '48-47=1']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,25 unequal: No Solution
No 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: 25:[48, 2], Operations: ['61-14=47', '47-45=2']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,25 unequal: No Solution
No 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: 25:[48, 92], Operations: ['61-14=47', '45+47=92']
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Exploring Operation: 48+92=140, Resulting Numbers: [140]
140,25 unequal: No Solution
Exploring Operation: 48*92=4416, Resulting Numbers: [4416]
4416,25 unequal: No Solution
No 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: 25:[47, 93], Operations: ['61-14=47', '45+48=93']
Exploring Operation: 93-47=46, Resulting Numbers: [46]
46,25 unequal: No Solution
Exploring Operation: 47+93=140, Resulting Numbers: [140]
140,25 unequal: No Solution
Exploring Operation: 47*93=4371, Resulting Numbers: [4371]
4371,25 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 | sum_heuristic |
[
79,
6,
54,
4
] | 29 | [
"6-4=2",
"54*2=108",
"108-79=29"
] | Current State: 29:[79, 6, 54, 4], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [79, 54, 2]
Generated Node #2: [79, 54, 2] from Operation: 6-4=2
Current State: 29:[79, 54, 2], Operations: ['6-4=2']
Exploring Operation: 54*2=108, Resulting Numbers: [79, 108]
Generated Node #3: [79, 108] from Operation: 54*2=108
Current State: 29:[79, 108], Operations: ['6-4=2', '54*2=108']
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[79, 6, 54, 4], Operations: []
Exploring Operation: 6*4=24, Resulting Numbers: [79, 54, 24]
Generated Node #0,0: 29:[79, 54, 24] Operation: 6*4=24
Exploring Operation: 79-54=25, Resulting Numbers: [6, 4, 25]
Generated Node #0,1: 29:[6, 4, 25] Operation: 79-54=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[6, 4, 25], Operations: ['79-54=25']
Exploring Operation: 6+4=10, Resulting Numbers: [25, 10]
Generated Node #0,1,0: 29:[25, 10] Operation: 6+4=10
Exploring Operation: 6*4=24, Resulting Numbers: [25, 24]
Generated Node #0,1,1: 29:[25, 24] Operation: 6*4=24
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 29:[25, 24], Operations: ['79-54=25', '6*4=24']
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 25+24=49, Resulting Numbers: [49]
49,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 29:[25, 10], Operations: ['79-54=25', '6+4=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[79, 54, 24], Operations: ['6*4=24']
Exploring Operation: 79-54=25, Resulting Numbers: [24, 25]
Generated Node #0,0,0: 29:[24, 25] Operation: 79-54=25
Exploring Operation: 79-24=55, Resulting Numbers: [54, 55]
Generated Node #0,0,1: 29:[54, 55] Operation: 79-24=55
Moving to Node #0,0,0
Current State: 29:[24, 25], Operations: ['6*4=24', '79-54=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[54, 55], Operations: ['6*4=24', '79-24=55']
Exploring Operation: 55-54=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 54+55=109, Resulting Numbers: [109]
109,29 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 |
[
61,
8,
33,
55
] | 15 | [
"61-55=6",
"8*6=48",
"48-33=15"
] | Current State: 15:[61, 8, 33, 55], Operations: []
Exploring Operation: 61-55=6, Resulting Numbers: [8, 33, 6]
Generated Node #2: [8, 33, 6] from Operation: 61-55=6
Current State: 15:[8, 33, 6], Operations: ['61-55=6']
Exploring Operation: 8*6=48, Resulting Numbers: [33, 48]
Generated Node #3: [33, 48] from Operation: 8*6=48
Current State: 15:[33, 48], Operations: ['61-55=6', '8*6=48']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[61, 8, 33, 55], Operations: []
Exploring Operation: 55-33=22, Resulting Numbers: [61, 8, 22]
Generated Node #0,0: 15:[61, 8, 22] Operation: 55-33=22
Exploring Operation: 61-55=6, Resulting Numbers: [8, 33, 6]
Generated Node #0,1: 15:[8, 33, 6] Operation: 61-55=6
Exploring Operation: 61-8=53, Resulting Numbers: [33, 55, 53]
Generated Node #0,2: 15:[33, 55, 53] Operation: 61-8=53
Exploring Operation: 61-33=28, Resulting Numbers: [8, 55, 28]
Generated Node #0,3: 15:[8, 55, 28] Operation: 61-33=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[8, 33, 6], Operations: ['61-55=6']
Exploring Operation: 8+6=14, Resulting Numbers: [33, 14]
Generated Node #0,1,0: 15:[33, 14] Operation: 8+6=14
Exploring Operation: 33-8=25, Resulting Numbers: [6, 25]
Generated Node #0,1,1: 15:[6, 25] Operation: 33-8=25
Exploring Operation: 8-6=2, Resulting Numbers: [33, 2]
Generated Node #0,1,2: 15:[33, 2] Operation: 8-6=2
Exploring Operation: 33-6=27, Resulting Numbers: [8, 27]
Generated Node #0,1,3: 15:[8, 27] Operation: 33-6=27
Moving to Node #0,1,1
Current State: 15:[6, 25], Operations: ['61-55=6', '33-8=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,15 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[8, 27], Operations: ['61-55=6', '33-6=27']
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,15 unequal: No Solution
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[33, 2], Operations: ['61-55=6', '8-6=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[33, 14], Operations: ['61-55=6', '8+6=14']
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,15 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,15 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:[61, 8, 22], Operations: ['55-33=22']
Exploring Operation: 61-8=53, Resulting Numbers: [22, 53]
Generated Node #0,0,0: 15:[22, 53] Operation: 61-8=53
Exploring Operation: 61+8=69, Resulting Numbers: [22, 69]
Generated Node #0,0,1: 15:[22, 69] Operation: 61+8=69
Exploring Operation: 22-8=14, Resulting Numbers: [61, 14]
Generated Node #0,0,2: 15:[61, 14] Operation: 22-8=14
Exploring Operation: 61-22=39, Resulting Numbers: [8, 39]
Generated Node #0,0,3: 15:[8, 39] Operation: 61-22=39
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 15:[8, 39], Operations: ['55-33=22', '61-22=39']
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,15 unequal: No Solution
Exploring Operation: 39-8=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 #0,0,0
Current State: 15:[22, 53], Operations: ['55-33=22', '61-8=53']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,15 unequal: No Solution
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,15 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 #0,0,2
Current State: 15:[61, 14], Operations: ['55-33=22', '22-8=14']
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Exploring Operation: 61*14=854, Resulting Numbers: [854]
854,15 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 #0,0,1
Current State: 15:[22, 69], Operations: ['55-33=22', '61+8=69']
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,15 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,15 unequal: No Solution
Exploring Operation: 22*69=1518, Resulting Numbers: [1518]
1518,15 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 #0,3
Current State: 15:[8, 55, 28], Operations: ['61-33=28']
Exploring Operation: 55-8=47, Resulting Numbers: [28, 47]
Generated Node #0,3,0: 15:[28, 47] Operation: 55-8=47
Exploring Operation: 55-28=27, Resulting Numbers: [8, 27]
Generated Node #0,3,1: 15:[8, 27] Operation: 55-28=27
Exploring Operation: 8+55=63, Resulting Numbers: [28, 63]
Generated Node #0,3,2: 15:[28, 63] Operation: 8+55=63
Exploring Operation: 28-8=20, Resulting Numbers: [55, 20]
Generated Node #0,3,3: 15:[55, 20] Operation: 28-8=20
Moving to Node #0,3,1
Current State: 15:[8, 27], Operations: ['61-33=28', '55-28=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[55, 20], Operations: ['61-33=28', '28-8=20']
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 55*20=1100, Resulting Numbers: [1100]
1100,15 unequal: No Solution
Exploring Operation: 55+20=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[28, 47], Operations: ['61-33=28', '55-8=47']
Exploring Operation: 28*47=1316, Resulting Numbers: [1316]
1316,15 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 28+47=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[28, 63], Operations: ['61-33=28', '8+55=63']
Exploring Operation: 28*63=1764, Resulting Numbers: [1764]
1764,15 unequal: No Solution
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,15 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 #0,2
Current State: 15:[33, 55, 53], Operations: ['61-8=53']
Exploring Operation: 53-33=20, Resulting Numbers: [55, 20]
Generated Node #0,2,0: 15:[55, 20] Operation: 53-33=20
Exploring Operation: 33+55=88, Resulting Numbers: [53, 88]
Generated Node #0,2,1: 15:[53, 88] Operation: 33+55=88
Exploring Operation: 55-33=22, Resulting Numbers: [53, 22]
Generated Node #0,2,2: 15:[53, 22] Operation: 55-33=22
Exploring Operation: 55-53=2, Resulting Numbers: [33, 2]
Generated Node #0,2,3: 15:[33, 2] Operation: 55-53=2
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 15:[33, 2], Operations: ['61-8=53', '55-53=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,15 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:[55, 20], Operations: ['61-8=53', '53-33=20']
Exploring Operation: 55*20=1100, Resulting Numbers: [1100]
1100,15 unequal: No Solution
Exploring Operation: 55+20=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,15 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 #0,2,2
Current State: 15:[53, 22], Operations: ['61-8=53', '55-33=22']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 53*22=1166, Resulting Numbers: [1166]
1166,15 unequal: No Solution
Exploring Operation: 53+22=75, Resulting Numbers: [75]
75,15 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:[53, 88], Operations: ['61-8=53', '33+55=88']
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 53+88=141, Resulting Numbers: [141]
141,15 unequal: No Solution
Exploring Operation: 53*88=4664, Resulting Numbers: [4664]
4664,15 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 |
[
7,
10,
41,
35
] | 18 | [
"10-7=3",
"41-35=6",
"3*6=18"
] | Current State: 18:[7, 10, 41, 35], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [41, 35, 3]
Generated Node #2: [41, 35, 3] from Operation: 10-7=3
Current State: 18:[41, 35, 3], Operations: ['10-7=3']
Exploring Operation: 41-35=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 41-35=6
Current State: 18:[3, 6], Operations: ['10-7=3', '41-35=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[7, 10, 41, 35], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [7, 10, 6]
Generated Node #0,0: 18:[7, 10, 6] Operation: 41-35=6
Moving to Node #0,0
Current State: 18:[7, 10, 6], Operations: ['41-35=6']
Exploring Operation: 10-7=3, Resulting Numbers: [6, 3]
Generated Node #0,0,0: 18:[6, 3] Operation: 10-7=3
Moving to Node #0,0,0
Current State: 18:[6, 3], Operations: ['41-35=6', '10-7=3']
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,18 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
44,
40,
64,
13
] | 12 | [
"44-40=4",
"13*4=52",
"64-52=12"
] | Current State: 12:[44, 40, 64, 13], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [64, 13, 4]
Generated Node #2: [64, 13, 4] from Operation: 44-40=4
Current State: 12:[64, 13, 4], Operations: ['44-40=4']
Exploring Operation: 13*4=52, Resulting Numbers: [64, 52]
Generated Node #3: [64, 52] from Operation: 13*4=52
Current State: 12:[64, 52], Operations: ['44-40=4', '13*4=52']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[44, 40, 64, 13], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [40, 13, 20]
Generated Node #0,0: 12:[40, 13, 20] Operation: 64-44=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[40, 13, 20], Operations: ['64-44=20']
Exploring Operation: 40/20=2, Resulting Numbers: [13, 2]
Generated Node #0,0,0: 12:[13, 2] Operation: 40/20=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[13, 2], Operations: ['64-44=20', '40/20=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
56,
96,
98,
60
] | 52 | [
"98-96=2",
"56*2=112",
"112-60=52"
] | Current State: 52:[56, 96, 98, 60], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [56, 60, 2]
Generated Node #2: [56, 60, 2] from Operation: 98-96=2
Current State: 52:[56, 60, 2], Operations: ['98-96=2']
Exploring Operation: 56*2=112, Resulting Numbers: [60, 112]
Generated Node #3: [60, 112] from Operation: 56*2=112
Current State: 52:[60, 112], Operations: ['98-96=2', '56*2=112']
Exploring Operation: 112-60=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[56, 96, 98, 60], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [56, 98, 36]
Generated Node #0,0: 52:[56, 98, 36] Operation: 96-60=36
Exploring Operation: 98-60=38, Resulting Numbers: [56, 96, 38]
Generated Node #0,1: 52:[56, 96, 38] Operation: 98-60=38
Exploring Operation: 98-96=2, Resulting Numbers: [56, 60, 2]
Generated Node #0,2: 52:[56, 60, 2] Operation: 98-96=2
Moving to Node #0,2
Current State: 52:[56, 60, 2], Operations: ['98-96=2']
Exploring Operation: 60-56=4, Resulting Numbers: [2, 4]
Generated Node #0,2,0: 52:[2, 4] Operation: 60-56=4
Exploring Operation: 60/2=30, Resulting Numbers: [56, 30]
Generated Node #0,2,1: 52:[56, 30] Operation: 60/2=30
Exploring Operation: 56-2=54, Resulting Numbers: [60, 54]
Generated Node #0,2,2: 52:[60, 54] Operation: 56-2=54
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 52:[2, 4], Operations: ['98-96=2', '60-56=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,52 unequal: No Solution
No 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: 52:[56, 30], Operations: ['98-96=2', '60/2=30']
Exploring Operation: 56*30=1680, Resulting Numbers: [1680]
1680,52 unequal: No Solution
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 56+30=86, Resulting Numbers: [86]
86,52 unequal: No Solution
No 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: 52:[60, 54], Operations: ['98-96=2', '56-2=54']
Exploring Operation: 60*54=3240, Resulting Numbers: [3240]
3240,52 unequal: No Solution
Exploring Operation: 60-54=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 60+54=114, Resulting Numbers: [114]
114,52 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: 52:[56, 98, 36], Operations: ['96-60=36']
Exploring Operation: 98-36=62, Resulting Numbers: [56, 62]
Generated Node #0,0,0: 52:[56, 62] Operation: 98-36=62
Exploring Operation: 98-56=42, Resulting Numbers: [36, 42]
Generated Node #0,0,1: 52:[36, 42] Operation: 98-56=42
Exploring Operation: 56-36=20, Resulting Numbers: [98, 20]
Generated Node #0,0,2: 52:[98, 20] Operation: 56-36=20
Moving to Node #0,1
Current State: 52:[56, 96, 38], Operations: ['98-60=38']
Exploring Operation: 96-56=40, Resulting Numbers: [38, 40]
Generated Node #0,1,0: 52:[38, 40] Operation: 96-56=40
Exploring Operation: 56-38=18, Resulting Numbers: [96, 18]
Generated Node #0,1,1: 52:[96, 18] Operation: 56-38=18
Exploring Operation: 96-38=58, Resulting Numbers: [56, 58]
Generated Node #0,1,2: 52:[56, 58] Operation: 96-38=58
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 52:[56, 58], Operations: ['98-60=38', '96-38=58']
Exploring Operation: 56*58=3248, Resulting Numbers: [3248]
3248,52 unequal: No Solution
Exploring Operation: 56+58=114, Resulting Numbers: [114]
114,52 unequal: No Solution
Exploring Operation: 58-56=2, Resulting Numbers: [2]
2,52 unequal: No Solution
No 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: 52:[38, 40], Operations: ['98-60=38', '96-56=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,52 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 38*40=1520, Resulting Numbers: [1520]
1520,52 unequal: No Solution
No 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: 52:[96, 18], Operations: ['98-60=38', '56-38=18']
Exploring Operation: 96+18=114, Resulting Numbers: [114]
114,52 unequal: No Solution
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,52 unequal: No Solution
Exploring Operation: 96*18=1728, Resulting Numbers: [1728]
1728,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 52:[56, 62], Operations: ['96-60=36', '98-36=62']
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,52 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[36, 42], Operations: ['96-60=36', '98-56=42']
Exploring Operation: 36+42=78, Resulting Numbers: [78]
78,52 unequal: No Solution
Exploring Operation: 42-36=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 36*42=1512, Resulting Numbers: [1512]
1512,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[98, 20], Operations: ['96-60=36', '56-36=20']
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,52 unequal: No Solution
Exploring Operation: 98+20=118, Resulting Numbers: [118]
118,52 unequal: No Solution
Exploring Operation: 98*20=1960, Resulting Numbers: [1960]
1960,52 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
26,
74,
98,
10
] | 60 | [
"74-26=48",
"98+10=108",
"108-48=60"
] | Current State: 60:[26, 74, 98, 10], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [98, 10, 48]
Generated Node #2: [98, 10, 48] from Operation: 74-26=48
Current State: 60:[98, 10, 48], Operations: ['74-26=48']
Exploring Operation: 98+10=108, Resulting Numbers: [48, 108]
Generated Node #3: [48, 108] from Operation: 98+10=108
Current State: 60:[48, 108], Operations: ['74-26=48', '98+10=108']
Exploring Operation: 108-48=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[26, 74, 98, 10], Operations: []
Exploring Operation: 74-10=64, Resulting Numbers: [26, 98, 64]
Generated Node #0,0: 60:[26, 98, 64] Operation: 74-10=64
Exploring Operation: 98-26=72, Resulting Numbers: [74, 10, 72]
Generated Node #0,1: 60:[74, 10, 72] Operation: 98-26=72
Exploring Operation: 98-74=24, Resulting Numbers: [26, 10, 24]
Generated Node #0,2: 60:[26, 10, 24] Operation: 98-74=24
Moving to Node #0,2
Current State: 60:[26, 10, 24], Operations: ['98-74=24']
Exploring Operation: 24-10=14, Resulting Numbers: [26, 14]
Generated Node #0,2,0: 60:[26, 14] Operation: 24-10=14
Exploring Operation: 26-24=2, Resulting Numbers: [10, 2]
Generated Node #0,2,1: 60:[10, 2] Operation: 26-24=2
Exploring Operation: 26-10=16, Resulting Numbers: [24, 16]
Generated Node #0,2,2: 60:[24, 16] Operation: 26-10=16
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 60:[10, 2], Operations: ['98-74=24', '26-24=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 60:[26, 14], Operations: ['98-74=24', '24-10=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 26*14=364, Resulting Numbers: [364]
364,60 unequal: No Solution
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 60:[24, 16], Operations: ['98-74=24', '26-10=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,60 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,60 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: 60:[74, 10, 72], Operations: ['98-26=72']
Exploring Operation: 74-10=64, Resulting Numbers: [72, 64]
Generated Node #0,1,0: 60:[72, 64] Operation: 74-10=64
Exploring Operation: 72-10=62, Resulting Numbers: [74, 62]
Generated Node #0,1,1: 60:[74, 62] Operation: 72-10=62
Exploring Operation: 74-72=2, Resulting Numbers: [10, 2]
Generated Node #0,1,2: 60:[10, 2] Operation: 74-72=2
Moving to Node #0,0
Current State: 60:[26, 98, 64], Operations: ['74-10=64']
Exploring Operation: 98-26=72, Resulting Numbers: [64, 72]
Generated Node #0,0,0: 60:[64, 72] Operation: 98-26=72
Exploring Operation: 98-64=34, Resulting Numbers: [26, 34]
Generated Node #0,0,1: 60:[26, 34] Operation: 98-64=34
Exploring Operation: 64-26=38, Resulting Numbers: [98, 38]
Generated Node #0,0,2: 60:[98, 38] Operation: 64-26=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[26, 34], Operations: ['74-10=64', '98-64=34']
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 26+34=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[26, 74, 98, 10], Operations: []
Exploring Operation: 74-10=64, Resulting Numbers: [26, 98, 64]
Generated Node #0,0: 60:[26, 98, 64] Operation: 74-10=64
Moving to Node #0,0
Current State: 60:[26, 98, 64], Operations: ['74-10=64']
Exploring Operation: 98-64=34, Resulting Numbers: [26, 34]
Generated Node #0,0,1: 60:[26, 34] Operation: 98-64=34
Moving to Node #0,0,1
Current State: 60:[26, 34], Operations: ['74-10=64', '98-64=34']
Exploring Operation: 26+34=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
62,
24,
37,
91
] | 42 | [
"62+24=86",
"37+91=128",
"128-86=42"
] | Current State: 42:[62, 24, 37, 91], Operations: []
Exploring Operation: 62+24=86, Resulting Numbers: [37, 91, 86]
Generated Node #2: [37, 91, 86] from Operation: 62+24=86
Current State: 42:[37, 91, 86], Operations: ['62+24=86']
Exploring Operation: 37+91=128, Resulting Numbers: [86, 128]
Generated Node #3: [86, 128] from Operation: 37+91=128
Current State: 42:[86, 128], Operations: ['62+24=86', '37+91=128']
Exploring Operation: 128-86=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[62, 24, 37, 91], Operations: []
Exploring Operation: 91-24=67, Resulting Numbers: [62, 37, 67]
Generated Node #0,0: 42:[62, 37, 67] Operation: 91-24=67
Exploring Operation: 91-62=29, Resulting Numbers: [24, 37, 29]
Generated Node #0,1: 42:[24, 37, 29] Operation: 91-62=29
Exploring Operation: 91-37=54, Resulting Numbers: [62, 24, 54]
Generated Node #0,2: 42:[62, 24, 54] Operation: 91-37=54
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[24, 37, 29], Operations: ['91-62=29']
Exploring Operation: 37-24=13, Resulting Numbers: [29, 13]
Generated Node #0,1,0: 42:[29, 13] Operation: 37-24=13
Exploring Operation: 29-24=5, Resulting Numbers: [37, 5]
Generated Node #0,1,1: 42:[37, 5] Operation: 29-24=5
Exploring Operation: 37-29=8, Resulting Numbers: [24, 8]
Generated Node #0,1,2: 42:[24, 8] Operation: 37-29=8
Moving to Node #0,1,2
Current State: 42:[24, 8], Operations: ['91-62=29', '37-29=8']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 24+8=32, Resulting Numbers: [32]
32,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[37, 5], Operations: ['91-62=29', '29-24=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[62, 24, 37, 91], Operations: []
Exploring Operation: 91-62=29, Resulting Numbers: [24, 37, 29]
Generated Node #0,1: 42:[24, 37, 29] Operation: 91-62=29
Moving to Node #0,1
Current State: 42:[24, 37, 29], Operations: ['91-62=29']
Exploring Operation: 29-24=5, Resulting Numbers: [37, 5]
Generated Node #0,1,1: 42:[37, 5] Operation: 29-24=5
Moving to Node #0,1,1
Current State: 42:[37, 5], Operations: ['91-62=29', '29-24=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
38,
21,
69,
46
] | 82 | [
"38+21=59",
"69-46=23",
"59+23=82"
] | Current State: 82:[38, 21, 69, 46], Operations: []
Exploring Operation: 38+21=59, Resulting Numbers: [69, 46, 59]
Generated Node #2: [69, 46, 59] from Operation: 38+21=59
Current State: 82:[69, 46, 59], Operations: ['38+21=59']
Exploring Operation: 69-46=23, Resulting Numbers: [59, 23]
Generated Node #3: [59, 23] from Operation: 69-46=23
Current State: 82:[59, 23], Operations: ['38+21=59', '69-46=23']
Exploring Operation: 59+23=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[38, 21, 69, 46], Operations: []
Exploring Operation: 21+69=90, Resulting Numbers: [38, 46, 90]
Generated Node #0,0: 82:[38, 46, 90] Operation: 21+69=90
Exploring Operation: 69-21=48, Resulting Numbers: [38, 46, 48]
Generated Node #0,1: 82:[38, 46, 48] Operation: 69-21=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[38, 46, 48], Operations: ['69-21=48']
Exploring Operation: 48-46=2, Resulting Numbers: [38, 2]
Generated Node #0,1,0: 82:[38, 2] Operation: 48-46=2
Exploring Operation: 38+46=84, Resulting Numbers: [48, 84]
Generated Node #0,1,1: 82:[48, 84] Operation: 38+46=84
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[38, 2], Operations: ['69-21=48', '48-46=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,82 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,82 unequal: No Solution
No 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: 82:[48, 84], Operations: ['69-21=48', '38+46=84']
Exploring Operation: 48+84=132, Resulting Numbers: [132]
132,82 unequal: No Solution
Exploring Operation: 84-48=36, Resulting Numbers: [36]
36,82 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: 82:[38, 46, 90], Operations: ['21+69=90']
Exploring Operation: 38+46=84, Resulting Numbers: [90, 84]
Generated Node #0,0,0: 82:[90, 84] Operation: 38+46=84
Exploring Operation: 90-46=44, Resulting Numbers: [38, 44]
Generated Node #0,0,1: 82:[38, 44] Operation: 90-46=44
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[38, 44], Operations: ['21+69=90', '90-46=44']
Exploring Operation: 44-38=6, Resulting Numbers: [6]
6,82 unequal: No Solution
Exploring Operation: 38+44=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[38, 21, 69, 46], Operations: []
Exploring Operation: 21+69=90, Resulting Numbers: [38, 46, 90]
Generated Node #0,0: 82:[38, 46, 90] Operation: 21+69=90
Moving to Node #0,0
Current State: 82:[38, 46, 90], Operations: ['21+69=90']
Exploring Operation: 90-46=44, Resulting Numbers: [38, 44]
Generated Node #0,0,1: 82:[38, 44] Operation: 90-46=44
Moving to Node #0,0,1
Current State: 82:[38, 44], Operations: ['21+69=90', '90-46=44']
Exploring Operation: 38+44=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
81,
37,
69,
40
] | 73 | [
"81-37=44",
"69-40=29",
"44+29=73"
] | Current State: 73:[81, 37, 69, 40], Operations: []
Exploring Operation: 81-37=44, Resulting Numbers: [69, 40, 44]
Generated Node #2: [69, 40, 44] from Operation: 81-37=44
Current State: 73:[69, 40, 44], Operations: ['81-37=44']
Exploring Operation: 69-40=29, Resulting Numbers: [44, 29]
Generated Node #3: [44, 29] from Operation: 69-40=29
Current State: 73:[44, 29], Operations: ['81-37=44', '69-40=29']
Exploring Operation: 44+29=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[81, 37, 69, 40], Operations: []
Exploring Operation: 81-37=44, Resulting Numbers: [69, 40, 44]
Generated Node #0,0: 73:[69, 40, 44] Operation: 81-37=44
Exploring Operation: 37+40=77, Resulting Numbers: [81, 69, 77]
Generated Node #0,1: 73:[81, 69, 77] Operation: 37+40=77
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[81, 69, 77], Operations: ['37+40=77']
Exploring Operation: 81-77=4, Resulting Numbers: [69, 4]
Generated Node #0,1,0: 73:[69, 4] Operation: 81-77=4
Exploring Operation: 81-69=12, Resulting Numbers: [77, 12]
Generated Node #0,1,1: 73:[77, 12] Operation: 81-69=12
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[77, 12], Operations: ['37+40=77', '81-69=12']
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,73 unequal: No Solution
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[69, 4], Operations: ['37+40=77', '81-77=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[81, 37, 69, 40], Operations: []
Exploring Operation: 37+40=77, Resulting Numbers: [81, 69, 77]
Generated Node #0,1: 73:[81, 69, 77] Operation: 37+40=77
Moving to Node #0,1
Current State: 73:[81, 69, 77], Operations: ['37+40=77']
Exploring Operation: 81-77=4, Resulting Numbers: [69, 4]
Generated Node #0,1,0: 73:[69, 4] Operation: 81-77=4
Moving to Node #0,1,0
Current State: 73:[69, 4], Operations: ['37+40=77', '81-77=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
6,
6,
92,
72
] | 84 | [
"92-6=86",
"86-72=14",
"6*14=84"
] | Current State: 84:[6, 6, 92, 72], Operations: []
Exploring Operation: 92-6=86, Resulting Numbers: [72, 86]
Generated Node #2: [72, 86] from Operation: 92-6=86
Current State: 84:[72, 86], Operations: ['92-6=86']
Exploring Operation: 86-72=14, Resulting Numbers: [14]
14,84 equal: Goal Reached
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[6, 6, 92, 72], Operations: []
Exploring Operation: 92-6=86, Resulting Numbers: [6, 72, 86]
Generated Node #0,0: 84:[6, 72, 86] Operation: 92-6=86
Exploring Operation: 92-72=20, Resulting Numbers: [6, 6, 20]
Generated Node #0,1: 84:[6, 6, 20] Operation: 92-72=20
Exploring Operation: 72/6=12, Resulting Numbers: [6, 92, 12]
Generated Node #0,2: 84:[6, 92, 12] Operation: 72/6=12
Exploring Operation: 72/6=12, Resulting Numbers: [6, 92, 12]
Generated Node #0,3: 84:[6, 92, 12] Operation: 72/6=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[6, 6, 20], Operations: ['92-72=20']
Exploring Operation: 20-6=14, Resulting Numbers: [6, 14]
Generated Node #0,1,0: 84:[6, 14] Operation: 20-6=14
Exploring Operation: 6/6=1, Resulting Numbers: [20, 1]
Generated Node #0,1,1: 84:[20, 1] Operation: 6/6=1
Exploring Operation: 20-6=14, Resulting Numbers: [6, 14]
Generated Node #0,1,2: 84:[6, 14] Operation: 20-6=14
Exploring Operation: 6+6=12, Resulting Numbers: [20, 12]
Generated Node #0,1,3: 84:[20, 12] Operation: 6+6=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 84:[6, 14], Operations: ['92-72=20', '20-6=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[6, 6, 92, 72], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [6, 6, 20]
Generated Node #0,1: 84:[6, 6, 20] Operation: 92-72=20
Moving to Node #0,1
Current State: 84:[6, 6, 20], Operations: ['92-72=20']
Exploring Operation: 20-6=14, Resulting Numbers: [6, 14]
Generated Node #0,1,0: 84:[6, 14] Operation: 20-6=14
Moving to Node #0,1,0
Current State: 84:[6, 14], Operations: ['92-72=20', '20-6=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
63,
81,
16,
77
] | 79 | [
"81-63=18",
"77-16=61",
"18+61=79"
] | Current State: 79:[63, 81, 16, 77], Operations: []
Exploring Operation: 81-63=18, Resulting Numbers: [16, 77, 18]
Generated Node #2: [16, 77, 18] from Operation: 81-63=18
Current State: 79:[16, 77, 18], Operations: ['81-63=18']
Exploring Operation: 77-16=61, Resulting Numbers: [18, 61]
Generated Node #3: [18, 61] from Operation: 77-16=61
Current State: 79:[18, 61], Operations: ['81-63=18', '77-16=61']
Exploring Operation: 18+61=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[63, 81, 16, 77], Operations: []
Exploring Operation: 81-16=65, Resulting Numbers: [63, 77, 65]
Generated Node #0,0: 79:[63, 77, 65] Operation: 81-16=65
Exploring Operation: 63-16=47, Resulting Numbers: [81, 77, 47]
Generated Node #0,1: 79:[81, 77, 47] Operation: 63-16=47
Exploring Operation: 63+16=79, Resulting Numbers: [81, 77, 79]
Generated Node #0,2: 79:[81, 77, 79] Operation: 63+16=79
Exploring Operation: 16+77=93, Resulting Numbers: [63, 81, 93]
Generated Node #0,3: 79:[63, 81, 93] Operation: 16+77=93
Exploring Operation: 81+16=97, Resulting Numbers: [63, 77, 97]
Generated Node #0,4: 79:[63, 77, 97] Operation: 81+16=97
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[81, 77, 79], Operations: ['63+16=79']
Exploring Operation: 77+79=156, Resulting Numbers: [81, 156]
Generated Node #0,2,0: 79:[81, 156] Operation: 77+79=156
Exploring Operation: 81+77=158, Resulting Numbers: [79, 158]
Generated Node #0,2,1: 79:[79, 158] Operation: 81+77=158
Exploring Operation: 81-79=2, Resulting Numbers: [77, 2]
Generated Node #0,2,2: 79:[77, 2] Operation: 81-79=2
Exploring Operation: 81-77=4, Resulting Numbers: [79, 4]
Generated Node #0,2,3: 79:[79, 4] Operation: 81-77=4
Exploring Operation: 79-77=2, Resulting Numbers: [81, 2]
Generated Node #0,2,4: 79:[81, 2] Operation: 79-77=2
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 79:[79, 4], Operations: ['63+16=79', '81-77=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 79*4=316, Resulting Numbers: [316]
316,79 unequal: No Solution
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,79 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 #0,2,0
Current State: 79:[81, 156], Operations: ['63+16=79', '77+79=156']
Exploring Operation: 81+156=237, Resulting Numbers: [237]
237,79 unequal: No Solution
Exploring Operation: 81*156=12636, Resulting Numbers: [12636]
12636,79 unequal: No Solution
Exploring Operation: 156-81=75, Resulting Numbers: [75]
75,79 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 #0,2,1
Current State: 79:[79, 158], Operations: ['63+16=79', '81+77=158']
Exploring Operation: 79+158=237, Resulting Numbers: [237]
237,79 unequal: No Solution
Exploring Operation: 158/79=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 158-79=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[63, 81, 16, 77], Operations: []
Exploring Operation: 63+16=79, Resulting Numbers: [81, 77, 79]
Generated Node #0,2: 79:[81, 77, 79] Operation: 63+16=79
Moving to Node #0,2
Current State: 79:[81, 77, 79], Operations: ['63+16=79']
Exploring Operation: 81+77=158, Resulting Numbers: [79, 158]
Generated Node #0,2,1: 79:[79, 158] Operation: 81+77=158
Moving to Node #0,2,1
Current State: 79:[79, 158], Operations: ['63+16=79', '81+77=158']
Exploring Operation: 158-79=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
36,
29,
4,
68
] | 31 | [
"4+68=72",
"72/36=2",
"29+2=31"
] | Current State: 31:[36, 29, 4, 68], Operations: []
Exploring Operation: 4+68=72, Resulting Numbers: [36, 29, 72]
Generated Node #2: [36, 29, 72] from Operation: 4+68=72
Current State: 31:[36, 29, 72], Operations: ['4+68=72']
Exploring Operation: 72/36=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 72/36=2
Current State: 31:[29, 2], Operations: ['4+68=72', '72/36=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[36, 29, 4, 68], Operations: []
Exploring Operation: 68/4=17, Resulting Numbers: [36, 29, 17]
Generated Node #0,0: 31:[36, 29, 17] Operation: 68/4=17
Exploring Operation: 68-36=32, Resulting Numbers: [29, 4, 32]
Generated Node #0,1: 31:[29, 4, 32] Operation: 68-36=32
Moving to Node #0,0
Current State: 31:[36, 29, 17], Operations: ['68/4=17']
Exploring Operation: 36-17=19, Resulting Numbers: [29, 19]
Generated Node #0,0,0: 31:[29, 19] Operation: 36-17=19
Exploring Operation: 29+17=46, Resulting Numbers: [36, 46]
Generated Node #0,0,1: 31:[36, 46] Operation: 29+17=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[29, 19], Operations: ['68/4=17', '36-17=19']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,31 unequal: No Solution
Exploring Operation: 29+19=48, Resulting Numbers: [48]
48,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 31:[36, 46], Operations: ['68/4=17', '29+17=46']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,31 unequal: No Solution
Exploring Operation: 36+46=82, Resulting Numbers: [82]
82,31 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: 31:[29, 4, 32], Operations: ['68-36=32']
Exploring Operation: 29+4=33, Resulting Numbers: [32, 33]
Generated Node #0,1,0: 31:[32, 33] Operation: 29+4=33
Exploring Operation: 32-4=28, Resulting Numbers: [29, 28]
Generated Node #0,1,1: 31:[29, 28] Operation: 32-4=28
Moving to Node #0,1,0
Current State: 31:[32, 33], Operations: ['68-36=32', '29+4=33']
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 32+33=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[29, 28], Operations: ['68-36=32', '32-4=28']
Exploring Operation: 29+28=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
44,
86,
60,
84
] | 52 | [
"44+60=104",
"86-84=2",
"104/2=52"
] | Current State: 52:[44, 86, 60, 84], Operations: []
Exploring Operation: 44+60=104, Resulting Numbers: [86, 84, 104]
Generated Node #2: [86, 84, 104] from Operation: 44+60=104
Current State: 52:[86, 84, 104], Operations: ['44+60=104']
Exploring Operation: 86-84=2, Resulting Numbers: [104, 2]
Generated Node #3: [104, 2] from Operation: 86-84=2
Current State: 52:[104, 2], Operations: ['44+60=104', '86-84=2']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[44, 86, 60, 84], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [44, 60, 2]
Generated Node #0,0: 52:[44, 60, 2] Operation: 86-84=2
Exploring Operation: 86-60=26, Resulting Numbers: [44, 84, 26]
Generated Node #0,1: 52:[44, 84, 26] Operation: 86-60=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[44, 60, 2], Operations: ['86-84=2']
Exploring Operation: 44/2=22, Resulting Numbers: [60, 22]
Generated Node #0,0,0: 52:[60, 22] Operation: 44/2=22
Exploring Operation: 60-44=16, Resulting Numbers: [2, 16]
Generated Node #0,0,1: 52:[2, 16] Operation: 60-44=16
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[2, 16], Operations: ['86-84=2', '60-44=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,52 unequal: No Solution
No 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: 52:[60, 22], Operations: ['86-84=2', '44/2=22']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,52 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: 52:[44, 84, 26], Operations: ['86-60=26']
Exploring Operation: 84-26=58, Resulting Numbers: [44, 58]
Generated Node #0,1,0: 52:[44, 58] Operation: 84-26=58
Exploring Operation: 84-44=40, Resulting Numbers: [26, 40]
Generated Node #0,1,1: 52:[26, 40] Operation: 84-44=40
Moving to Node #0,1,1
Current State: 52:[26, 40], Operations: ['86-60=26', '84-44=40']
Exploring Operation: 26+40=66, Resulting Numbers: [66]
66,52 unequal: No Solution
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[44, 58], Operations: ['86-60=26', '84-26=58']
Exploring Operation: 58-44=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Exploring Operation: 44+58=102, Resulting Numbers: [102]
102,52 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 |
[
30,
60,
52,
19
] | 73 | [
"60/30=2",
"52+19=71",
"2+71=73"
] | Current State: 73:[30, 60, 52, 19], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [52, 19, 2]
Generated Node #2: [52, 19, 2] from Operation: 60/30=2
Current State: 73:[52, 19, 2], Operations: ['60/30=2']
Exploring Operation: 52+19=71, Resulting Numbers: [2, 71]
Generated Node #3: [2, 71] from Operation: 52+19=71
Current State: 73:[2, 71], Operations: ['60/30=2', '52+19=71']
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[30, 60, 52, 19], Operations: []
Exploring Operation: 60+19=79, Resulting Numbers: [30, 52, 79]
Generated Node #0,0: 73:[30, 52, 79] Operation: 60+19=79
Exploring Operation: 52+19=71, Resulting Numbers: [30, 60, 71]
Generated Node #0,1: 73:[30, 60, 71] Operation: 52+19=71
Exploring Operation: 30+19=49, Resulting Numbers: [60, 52, 49]
Generated Node #0,2: 73:[60, 52, 49] Operation: 30+19=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[30, 60, 71], Operations: ['52+19=71']
Exploring Operation: 30+60=90, Resulting Numbers: [71, 90]
Generated Node #0,1,0: 73:[71, 90] Operation: 30+60=90
Exploring Operation: 30+71=101, Resulting Numbers: [60, 101]
Generated Node #0,1,1: 73:[60, 101] Operation: 30+71=101
Exploring Operation: 60-30=30, Resulting Numbers: [71, 30]
Generated Node #0,1,2: 73:[71, 30] Operation: 60-30=30
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[71, 90], Operations: ['52+19=71', '30+60=90']
Exploring Operation: 71*90=6390, Resulting Numbers: [6390]
6390,73 unequal: No Solution
Exploring Operation: 71+90=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Exploring Operation: 90-71=19, Resulting Numbers: [19]
19,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[60, 101], Operations: ['52+19=71', '30+71=101']
Exploring Operation: 60*101=6060, Resulting Numbers: [6060]
6060,73 unequal: No Solution
Exploring Operation: 60+101=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Exploring Operation: 101-60=41, Resulting Numbers: [41]
41,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 73:[71, 30], Operations: ['52+19=71', '60-30=30']
Exploring Operation: 71+30=101, Resulting Numbers: [101]
101,73 unequal: No Solution
Exploring Operation: 71*30=2130, Resulting Numbers: [2130]
2130,73 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[60, 52, 49], Operations: ['30+19=49']
Exploring Operation: 60+52=112, Resulting Numbers: [49, 112]
Generated Node #0,2,0: 73:[49, 112] Operation: 60+52=112
Exploring Operation: 52+49=101, Resulting Numbers: [60, 101]
Generated Node #0,2,1: 73:[60, 101] Operation: 52+49=101
Exploring Operation: 60+49=109, Resulting Numbers: [52, 109]
Generated Node #0,2,2: 73:[52, 109] Operation: 60+49=109
Moving to Node #0,2,1
Current State: 73:[60, 101], Operations: ['30+19=49', '52+49=101']
Exploring Operation: 101-60=41, Resulting Numbers: [41]
41,73 unequal: No Solution
Exploring Operation: 60+101=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Exploring Operation: 60*101=6060, Resulting Numbers: [6060]
6060,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[52, 109], Operations: ['30+19=49', '60+49=109']
Exploring Operation: 52*109=5668, Resulting Numbers: [5668]
5668,73 unequal: No Solution
Exploring Operation: 109-52=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 52+109=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[49, 112], Operations: ['30+19=49', '60+52=112']
Exploring Operation: 112-49=63, Resulting Numbers: [63]
63,73 unequal: No Solution
Exploring Operation: 49+112=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Exploring Operation: 49*112=5488, Resulting Numbers: [5488]
5488,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[30, 52, 79], Operations: ['60+19=79']
Exploring Operation: 79-30=49, Resulting Numbers: [52, 49]
Generated Node #0,0,0: 73:[52, 49] Operation: 79-30=49
Exploring Operation: 52-30=22, Resulting Numbers: [79, 22]
Generated Node #0,0,1: 73:[79, 22] Operation: 52-30=22
Exploring Operation: 30+52=82, Resulting Numbers: [79, 82]
Generated Node #0,0,2: 73:[79, 82] Operation: 30+52=82
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[79, 82], Operations: ['60+19=79', '30+52=82']
Exploring Operation: 82-79=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 79*82=6478, Resulting Numbers: [6478]
6478,73 unequal: No Solution
Exploring Operation: 79+82=161, Resulting Numbers: [161]
161,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[52, 49], Operations: ['60+19=79', '79-30=49']
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,73 unequal: No Solution
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[79, 22], Operations: ['60+19=79', '52-30=22']
Exploring Operation: 79*22=1738, Resulting Numbers: [1738]
1738,73 unequal: No Solution
Exploring Operation: 79+22=101, Resulting Numbers: [101]
101,73 unequal: No Solution
Exploring Operation: 79-22=57, Resulting Numbers: [57]
57,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
24,
20,
19,
33
] | 60 | [
"24+33=57",
"20*57=1140",
"1140/19=60"
] | Current State: 60:[24, 20, 19, 33], Operations: []
Exploring Operation: 24+33=57, Resulting Numbers: [20, 19, 57]
Generated Node #2: [20, 19, 57] from Operation: 24+33=57
Current State: 60:[20, 19, 57], Operations: ['24+33=57']
Exploring Operation: 20*57=1140, Resulting Numbers: [19, 1140]
Generated Node #3: [19, 1140] from Operation: 20*57=1140
Current State: 60:[19, 1140], Operations: ['24+33=57', '20*57=1140']
Exploring Operation: 1140/19=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[24, 20, 19, 33], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [19, 33, 4]
Generated Node #0,0: 60:[19, 33, 4] Operation: 24-20=4
Exploring Operation: 24-19=5, Resulting Numbers: [20, 33, 5]
Generated Node #0,1: 60:[20, 33, 5] Operation: 24-19=5
Exploring Operation: 33-24=9, Resulting Numbers: [20, 19, 9]
Generated Node #0,2: 60:[20, 19, 9] Operation: 33-24=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[20, 19, 9], Operations: ['33-24=9']
Exploring Operation: 19-9=10, Resulting Numbers: [20, 10]
Generated Node #0,2,0: 60:[20, 10] Operation: 19-9=10
Exploring Operation: 20+9=29, Resulting Numbers: [19, 29]
Generated Node #0,2,1: 60:[19, 29] Operation: 20+9=29
Exploring Operation: 20-19=1, Resulting Numbers: [9, 1]
Generated Node #0,2,2: 60:[9, 1] Operation: 20-19=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[20, 10], Operations: ['33-24=9', '19-9=10']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[19, 29], Operations: ['33-24=9', '20+9=29']
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[9, 1], Operations: ['33-24=9', '20-19=1']
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[20, 33, 5], Operations: ['24-19=5']
Exploring Operation: 20-5=15, Resulting Numbers: [33, 15]
Generated Node #0,1,0: 60:[33, 15] Operation: 20-5=15
Exploring Operation: 33-20=13, Resulting Numbers: [5, 13]
Generated Node #0,1,1: 60:[5, 13] Operation: 33-20=13
Exploring Operation: 33-5=28, Resulting Numbers: [20, 28]
Generated Node #0,1,2: 60:[20, 28] Operation: 33-5=28
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[5, 13], Operations: ['24-19=5', '33-20=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,60 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[20, 28], Operations: ['24-19=5', '33-5=28']
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,60 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[33, 15], Operations: ['24-19=5', '20-5=15']
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,60 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[19, 33, 4], Operations: ['24-20=4']
Exploring Operation: 19-4=15, Resulting Numbers: [33, 15]
Generated Node #0,0,0: 60:[33, 15] Operation: 19-4=15
Exploring Operation: 33-4=29, Resulting Numbers: [19, 29]
Generated Node #0,0,1: 60:[19, 29] Operation: 33-4=29
Exploring Operation: 33-19=14, Resulting Numbers: [4, 14]
Generated Node #0,0,2: 60:[4, 14] Operation: 33-19=14
Moving to Node #0,0,2
Current State: 60:[4, 14], Operations: ['24-20=4', '33-19=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[19, 29], Operations: ['24-20=4', '33-4=29']
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,60 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[33, 15], Operations: ['24-20=4', '19-4=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
48,
25,
30,
14
] | 26 | [
"48*25=1200",
"1200/30=40",
"40-14=26"
] | Current State: 26:[48, 25, 30, 14], Operations: []
Exploring Operation: 48*25=1200, Resulting Numbers: [30, 14, 1200]
Generated Node #2: [30, 14, 1200] from Operation: 48*25=1200
Current State: 26:[30, 14, 1200], Operations: ['48*25=1200']
Exploring Operation: 1200/30=40, Resulting Numbers: [14, 40]
Generated Node #3: [14, 40] from Operation: 1200/30=40
Current State: 26:[14, 40], Operations: ['48*25=1200', '1200/30=40']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[48, 25, 30, 14], Operations: []
Exploring Operation: 48-25=23, Resulting Numbers: [30, 14, 23]
Generated Node #0,0: 26:[30, 14, 23] Operation: 48-25=23
Exploring Operation: 48-30=18, Resulting Numbers: [25, 14, 18]
Generated Node #0,1: 26:[25, 14, 18] Operation: 48-30=18
Moving to Node #0,1
Current State: 26:[25, 14, 18], Operations: ['48-30=18']
Exploring Operation: 18-14=4, Resulting Numbers: [25, 4]
Generated Node #0,1,0: 26:[25, 4] Operation: 18-14=4
Exploring Operation: 25-18=7, Resulting Numbers: [14, 7]
Generated Node #0,1,1: 26:[14, 7] Operation: 25-18=7
Moving to Node #0,0
Current State: 26:[30, 14, 23], Operations: ['48-25=23']
Exploring Operation: 30-14=16, Resulting Numbers: [23, 16]
Generated Node #0,0,0: 26:[23, 16] Operation: 30-14=16
Exploring Operation: 30-23=7, Resulting Numbers: [14, 7]
Generated Node #0,0,1: 26:[14, 7] Operation: 30-23=7
Moving to Node #0,1,0
Current State: 26:[25, 4], Operations: ['48-30=18', '18-14=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,26 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[23, 16], Operations: ['48-25=23', '30-14=16']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[14, 7], Operations: ['48-30=18', '25-18=7']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[14, 7], Operations: ['48-25=23', '30-23=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,26 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,26 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
68,
11,
3
] | 33 | [
"68-46=22",
"22-11=11",
"3*11=33"
] | Current State: 33:[46, 68, 11, 3], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [11, 3, 22]
Generated Node #2: [11, 3, 22] from Operation: 68-46=22
Current State: 33:[11, 3, 22], Operations: ['68-46=22']
Exploring Operation: 22-11=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 22-11=11
Current State: 33:[3, 11], Operations: ['68-46=22', '22-11=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[46, 68, 11, 3], Operations: []
Exploring Operation: 68-11=57, Resulting Numbers: [46, 3, 57]
Generated Node #0,0: 33:[46, 3, 57] Operation: 68-11=57
Exploring Operation: 68-46=22, Resulting Numbers: [11, 3, 22]
Generated Node #0,1: 33:[11, 3, 22] Operation: 68-46=22
Exploring Operation: 46-11=35, Resulting Numbers: [68, 3, 35]
Generated Node #0,2: 33:[68, 3, 35] Operation: 46-11=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[11, 3, 22], Operations: ['68-46=22']
Exploring Operation: 22/11=2, Resulting Numbers: [3, 2]
Generated Node #0,1,0: 33:[3, 2] Operation: 22/11=2
Exploring Operation: 22-11=11, Resulting Numbers: [3, 11]
Generated Node #0,1,1: 33:[3, 11] Operation: 22-11=11
Exploring Operation: 11+22=33, Resulting Numbers: [3, 33]
Generated Node #0,1,2: 33:[3, 33] Operation: 11+22=33
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[3, 11], Operations: ['68-46=22', '22-11=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[46, 68, 11, 3], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [11, 3, 22]
Generated Node #0,1: 33:[11, 3, 22] Operation: 68-46=22
Moving to Node #0,1
Current State: 33:[11, 3, 22], Operations: ['68-46=22']
Exploring Operation: 22-11=11, Resulting Numbers: [3, 11]
Generated Node #0,1,1: 33:[3, 11] Operation: 22-11=11
Moving to Node #0,1,1
Current State: 33:[3, 11], Operations: ['68-46=22', '22-11=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
6,
88,
8,
5
] | 49 | [
"8-6=2",
"88/2=44",
"5+44=49"
] | Current State: 49:[6, 88, 8, 5], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [88, 5, 2]
Generated Node #2: [88, 5, 2] from Operation: 8-6=2
Current State: 49:[88, 5, 2], Operations: ['8-6=2']
Exploring Operation: 88/2=44, Resulting Numbers: [5, 44]
Generated Node #3: [5, 44] from Operation: 88/2=44
Current State: 49:[5, 44], Operations: ['8-6=2', '88/2=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[6, 88, 8, 5], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [6, 5, 11]
Generated Node #0,0: 49:[6, 5, 11] Operation: 88/8=11
Moving to Node #0,0
Current State: 49:[6, 5, 11], Operations: ['88/8=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6, 6]
Generated Node #0,0,0: 49:[6, 6] Operation: 11-5=6
Moving to Node #0,0,0
Current State: 49:[6, 6], Operations: ['88/8=11', '11-5=6']
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,49 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
96,
2,
27,
4
] | 67 | [
"96+2=98",
"27+4=31",
"98-31=67"
] | Current State: 67:[96, 2, 27, 4], Operations: []
Exploring Operation: 96+2=98, Resulting Numbers: [27, 4, 98]
Generated Node #2: [27, 4, 98] from Operation: 96+2=98
Current State: 67:[27, 4, 98], Operations: ['96+2=98']
Exploring Operation: 27+4=31, Resulting Numbers: [98, 31]
Generated Node #3: [98, 31] from Operation: 27+4=31
Current State: 67:[98, 31], Operations: ['96+2=98', '27+4=31']
Exploring Operation: 98-31=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[96, 2, 27, 4], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [27, 4, 48]
Generated Node #0,0: 67:[27, 4, 48] Operation: 96/2=48
Exploring Operation: 2*4=8, Resulting Numbers: [96, 27, 8]
Generated Node #0,1: 67:[96, 27, 8] Operation: 2*4=8
Exploring Operation: 2*27=54, Resulting Numbers: [96, 4, 54]
Generated Node #0,2: 67:[96, 4, 54] Operation: 2*27=54
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[96, 4, 54], Operations: ['2*27=54']
Exploring Operation: 96-4=92, Resulting Numbers: [54, 92]
Generated Node #0,2,0: 67:[54, 92] Operation: 96-4=92
Exploring Operation: 4+54=58, Resulting Numbers: [96, 58]
Generated Node #0,2,1: 67:[96, 58] Operation: 4+54=58
Exploring Operation: 96+4=100, Resulting Numbers: [54, 100]
Generated Node #0,2,2: 67:[54, 100] Operation: 96+4=100
Moving to Node #0,2,0
Current State: 67:[54, 92], Operations: ['2*27=54', '96-4=92']
Exploring Operation: 54+92=146, Resulting Numbers: [146]
146,67 unequal: No Solution
Exploring Operation: 54*92=4968, Resulting Numbers: [4968]
4968,67 unequal: No Solution
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[96, 58], Operations: ['2*27=54', '4+54=58']
Exploring Operation: 96+58=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 96*58=5568, Resulting Numbers: [5568]
5568,67 unequal: No Solution
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[54, 100], Operations: ['2*27=54', '96+4=100']
Exploring Operation: 54*100=5400, Resulting Numbers: [5400]
5400,67 unequal: No Solution
Exploring Operation: 100-54=46, Resulting Numbers: [46]
46,67 unequal: No Solution
Exploring Operation: 54+100=154, Resulting Numbers: [154]
154,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[27, 4, 48], Operations: ['96/2=48']
Exploring Operation: 27*4=108, Resulting Numbers: [48, 108]
Generated Node #0,0,0: 67:[48, 108] Operation: 27*4=108
Exploring Operation: 4+48=52, Resulting Numbers: [27, 52]
Generated Node #0,0,1: 67:[27, 52] Operation: 4+48=52
Exploring Operation: 27+4=31, Resulting Numbers: [48, 31]
Generated Node #0,0,2: 67:[48, 31] Operation: 27+4=31
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[27, 52], Operations: ['96/2=48', '4+48=52']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,67 unequal: No Solution
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,67 unequal: No Solution
Exploring Operation: 27*52=1404, Resulting Numbers: [1404]
1404,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[48, 31], Operations: ['96/2=48', '27+4=31']
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,67 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,67 unequal: No Solution
Exploring Operation: 48*31=1488, Resulting Numbers: [1488]
1488,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[48, 108], Operations: ['96/2=48', '27*4=108']
Exploring Operation: 48+108=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 108-48=60, Resulting Numbers: [60]
60,67 unequal: No Solution
Exploring Operation: 48*108=5184, Resulting Numbers: [5184]
5184,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[96, 27, 8], Operations: ['2*4=8']
Exploring Operation: 96-27=69, Resulting Numbers: [8, 69]
Generated Node #0,1,0: 67:[8, 69] Operation: 96-27=69
Exploring Operation: 27+8=35, Resulting Numbers: [96, 35]
Generated Node #0,1,1: 67:[96, 35] Operation: 27+8=35
Exploring Operation: 96-8=88, Resulting Numbers: [27, 88]
Generated Node #0,1,2: 67:[27, 88] Operation: 96-8=88
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[8, 69], Operations: ['2*4=8', '96-27=69']
Exploring Operation: 8*69=552, Resulting Numbers: [552]
552,67 unequal: No Solution
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,67 unequal: No Solution
Exploring Operation: 8+69=77, Resulting Numbers: [77]
77,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[96, 35], Operations: ['2*4=8', '27+8=35']
Exploring Operation: 96+35=131, Resulting Numbers: [131]
131,67 unequal: No Solution
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,67 unequal: No Solution
Exploring Operation: 96*35=3360, Resulting Numbers: [3360]
3360,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[27, 88], Operations: ['2*4=8', '96-8=88']
Exploring Operation: 27+88=115, Resulting Numbers: [115]
115,67 unequal: No Solution
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,67 unequal: No Solution
Exploring Operation: 27*88=2376, Resulting Numbers: [2376]
2376,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
53,
14,
51,
38
] | 52 | [
"53-14=39",
"51-38=13",
"39+13=52"
] | Current State: 52:[53, 14, 51, 38], Operations: []
Exploring Operation: 53-14=39, Resulting Numbers: [51, 38, 39]
Generated Node #2: [51, 38, 39] from Operation: 53-14=39
Current State: 52:[51, 38, 39], Operations: ['53-14=39']
Exploring Operation: 51-38=13, Resulting Numbers: [39, 13]
Generated Node #3: [39, 13] from Operation: 51-38=13
Current State: 52:[39, 13], Operations: ['53-14=39', '51-38=13']
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[53, 14, 51, 38], Operations: []
Exploring Operation: 51-38=13, Resulting Numbers: [53, 14, 13]
Generated Node #0,0: 52:[53, 14, 13] Operation: 51-38=13
Exploring Operation: 14+38=52, Resulting Numbers: [53, 51, 52]
Generated Node #0,1: 52:[53, 51, 52] Operation: 14+38=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[53, 14, 13], Operations: ['51-38=13']
Exploring Operation: 14-13=1, Resulting Numbers: [53, 1]
Generated Node #0,0,0: 52:[53, 1] Operation: 14-13=1
Exploring Operation: 14+13=27, Resulting Numbers: [53, 27]
Generated Node #0,0,1: 52:[53, 27] Operation: 14+13=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[53, 1], Operations: ['51-38=13', '14-13=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[53, 14, 51, 38], Operations: []
Exploring Operation: 51-38=13, Resulting Numbers: [53, 14, 13]
Generated Node #0,0: 52:[53, 14, 13] Operation: 51-38=13
Moving to Node #0,0
Current State: 52:[53, 14, 13], Operations: ['51-38=13']
Exploring Operation: 14-13=1, Resulting Numbers: [53, 1]
Generated Node #0,0,0: 52:[53, 1] Operation: 14-13=1
Moving to Node #0,0,0
Current State: 52:[53, 1], Operations: ['51-38=13', '14-13=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
9,
61,
52,
43
] | 62 | [
"52-9=43",
"43/43=1",
"61+1=62"
] | Current State: 62:[9, 61, 52, 43], Operations: []
Exploring Operation: 52-9=43, Resulting Numbers: [61, 43, 43]
Generated Node #2: [61, 43, 43] from Operation: 52-9=43
Current State: 62:[61, 43, 43], Operations: ['52-9=43']
Exploring Operation: 43/43=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 43/43=1
Current State: 62:[61, 1], Operations: ['52-9=43', '43/43=1']
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[9, 61, 52, 43], Operations: []
Exploring Operation: 9+52=61, Resulting Numbers: [61, 43, 61]
Generated Node #0,0: 62:[61, 43, 61] Operation: 9+52=61
Exploring Operation: 43-9=34, Resulting Numbers: [61, 52, 34]
Generated Node #0,1: 62:[61, 52, 34] Operation: 43-9=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[61, 43, 61], Operations: ['9+52=61']
Exploring Operation: 61-43=18, Resulting Numbers: [61, 18]
Generated Node #0,0,0: 62:[61, 18] Operation: 61-43=18
Exploring Operation: 61/61=1, Resulting Numbers: [43, 1]
Generated Node #0,0,1: 62:[43, 1] Operation: 61/61=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[43, 1], Operations: ['9+52=61', '61/61=1']
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[61, 18], Operations: ['9+52=61', '61-43=18']
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[61, 52, 34], Operations: ['43-9=34']
Exploring Operation: 61-34=27, Resulting Numbers: [52, 27]
Generated Node #0,1,0: 62:[52, 27] Operation: 61-34=27
Exploring Operation: 61-52=9, Resulting Numbers: [34, 9]
Generated Node #0,1,1: 62:[34, 9] Operation: 61-52=9
Moving to Node #0,1,1
Current State: 62:[34, 9], Operations: ['43-9=34', '61-52=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[52, 27], Operations: ['43-9=34', '61-34=27']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
3,
2,
42
] | 38 | [
"3+3=6",
"2+42=44",
"44-6=38"
] | Current State: 38:[3, 3, 2, 42], Operations: []
Exploring Operation: 3+3=6, Resulting Numbers: [2, 42, 6]
Generated Node #2: [2, 42, 6] from Operation: 3+3=6
Current State: 38:[2, 42, 6], Operations: ['3+3=6']
Exploring Operation: 2+42=44, Resulting Numbers: [6, 44]
Generated Node #3: [6, 44] from Operation: 2+42=44
Current State: 38:[6, 44], Operations: ['3+3=6', '2+42=44']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[3, 3, 2, 42], Operations: []
Exploring Operation: 42-3=39, Resulting Numbers: [3, 2, 39]
Generated Node #0,0: 38:[3, 2, 39] Operation: 42-3=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[3, 2, 39], Operations: ['42-3=39']
Exploring Operation: 3-2=1, Resulting Numbers: [39, 1]
Generated Node #0,0,0: 38:[39, 1] Operation: 3-2=1
Moving to Node #0,0,0
Current State: 38:[39, 1], Operations: ['42-3=39', '3-2=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[3, 3, 2, 42], Operations: []
Exploring Operation: 42-3=39, Resulting Numbers: [3, 2, 39]
Generated Node #0,0: 38:[3, 2, 39] Operation: 42-3=39
Moving to Node #0,0
Current State: 38:[3, 2, 39], Operations: ['42-3=39']
Exploring Operation: 3-2=1, Resulting Numbers: [39, 1]
Generated Node #0,0,0: 38:[39, 1] Operation: 3-2=1
Moving to Node #0,0,0
Current State: 38:[39, 1], Operations: ['42-3=39', '3-2=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
16,
26,
65,
18
] | 67 | [
"26-18=8",
"16/8=2",
"65+2=67"
] | Current State: 67:[16, 26, 65, 18], Operations: []
Exploring Operation: 26-18=8, Resulting Numbers: [16, 65, 8]
Generated Node #2: [16, 65, 8] from Operation: 26-18=8
Current State: 67:[16, 65, 8], Operations: ['26-18=8']
Exploring Operation: 16/8=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 16/8=2
Current State: 67:[65, 2], Operations: ['26-18=8', '16/8=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[16, 26, 65, 18], Operations: []
Exploring Operation: 16+26=42, Resulting Numbers: [65, 18, 42]
Generated Node #0,0: 67:[65, 18, 42] Operation: 16+26=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[65, 18, 42], Operations: ['16+26=42']
Exploring Operation: 18+42=60, Resulting Numbers: [65, 60]
Generated Node #0,0,0: 67:[65, 60] Operation: 18+42=60
Moving to Node #0,0,0
Current State: 67:[65, 60], Operations: ['16+26=42', '18+42=60']
Exploring Operation: 65+60=125, Resulting Numbers: [125]
125,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
21,
98,
74
] | 91 | [
"21*74=1554",
"1554-98=1456",
"1456/16=91"
] | Current State: 91:[16, 21, 98, 74], Operations: []
Exploring Operation: 21*74=1554, Resulting Numbers: [16, 98, 1554]
Generated Node #2: [16, 98, 1554] from Operation: 21*74=1554
Current State: 91:[16, 98, 1554], Operations: ['21*74=1554']
Exploring Operation: 1554-98=1456, Resulting Numbers: [16, 1456]
Generated Node #3: [16, 1456] from Operation: 1554-98=1456
Current State: 91:[16, 1456], Operations: ['21*74=1554', '1554-98=1456']
Exploring Operation: 1456/16=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[16, 21, 98, 74], Operations: []
Exploring Operation: 21+74=95, Resulting Numbers: [16, 98, 95]
Generated Node #0,0: 91:[16, 98, 95] Operation: 21+74=95
Exploring Operation: 98-74=24, Resulting Numbers: [16, 21, 24]
Generated Node #0,1: 91:[16, 21, 24] Operation: 98-74=24
Exploring Operation: 16+74=90, Resulting Numbers: [21, 98, 90]
Generated Node #0,2: 91:[21, 98, 90] Operation: 16+74=90
Exploring Operation: 21-16=5, Resulting Numbers: [98, 74, 5]
Generated Node #0,3: 91:[98, 74, 5] Operation: 21-16=5
Exploring Operation: 98-16=82, Resulting Numbers: [21, 74, 82]
Generated Node #0,4: 91:[21, 74, 82] Operation: 98-16=82
Moving to Node #0,0
Current State: 91:[16, 98, 95], Operations: ['21+74=95']
Exploring Operation: 16+95=111, Resulting Numbers: [98, 111]
Generated Node #0,0,0: 91:[98, 111] Operation: 16+95=111
Exploring Operation: 98-95=3, Resulting Numbers: [16, 3]
Generated Node #0,0,1: 91:[16, 3] Operation: 98-95=3
Exploring Operation: 95-16=79, Resulting Numbers: [98, 79]
Generated Node #0,0,2: 91:[98, 79] Operation: 95-16=79
Exploring Operation: 16+98=114, Resulting Numbers: [95, 114]
Generated Node #0,0,3: 91:[95, 114] Operation: 16+98=114
Exploring Operation: 98-16=82, Resulting Numbers: [95, 82]
Generated Node #0,0,4: 91:[95, 82] Operation: 98-16=82
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[16, 3], Operations: ['21+74=95', '98-95=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,91 unequal: No Solution
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,91 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 #0,0,4
Current State: 91:[95, 82], Operations: ['21+74=95', '98-16=82']
Exploring Operation: 95*82=7790, Resulting Numbers: [7790]
7790,91 unequal: No Solution
Exploring Operation: 95-82=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 95+82=177, Resulting Numbers: [177]
177,91 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 #0,0,2
Current State: 91:[98, 79], Operations: ['21+74=95', '95-16=79']
Exploring Operation: 98+79=177, Resulting Numbers: [177]
177,91 unequal: No Solution
Exploring Operation: 98-79=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 98*79=7742, Resulting Numbers: [7742]
7742,91 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 #0,0,0
Current State: 91:[98, 111], Operations: ['21+74=95', '16+95=111']
Exploring Operation: 111-98=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 98*111=10878, Resulting Numbers: [10878]
10878,91 unequal: No Solution
Exploring Operation: 98+111=209, Resulting Numbers: [209]
209,91 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 #0,0,3
Current State: 91:[95, 114], Operations: ['21+74=95', '16+98=114']
Exploring Operation: 95+114=209, Resulting Numbers: [209]
209,91 unequal: No Solution
Exploring Operation: 95*114=10830, Resulting Numbers: [10830]
10830,91 unequal: No Solution
Exploring Operation: 114-95=19, Resulting Numbers: [19]
19,91 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: 91:[21, 98, 90], Operations: ['16+74=90']
Exploring Operation: 90-21=69, Resulting Numbers: [98, 69]
Generated Node #0,2,0: 91:[98, 69] Operation: 90-21=69
Exploring Operation: 21+98=119, Resulting Numbers: [90, 119]
Generated Node #0,2,1: 91:[90, 119] Operation: 21+98=119
Exploring Operation: 21+90=111, Resulting Numbers: [98, 111]
Generated Node #0,2,2: 91:[98, 111] Operation: 21+90=111
Exploring Operation: 98-21=77, Resulting Numbers: [90, 77]
Generated Node #0,2,3: 91:[90, 77] Operation: 98-21=77
Exploring Operation: 98-90=8, Resulting Numbers: [21, 8]
Generated Node #0,2,4: 91:[21, 8] Operation: 98-90=8
Moving to Node #0,1
Current State: 91:[16, 21, 24], Operations: ['98-74=24']
Exploring Operation: 24-21=3, Resulting Numbers: [16, 3]
Generated Node #0,1,0: 91:[16, 3] Operation: 24-21=3
Exploring Operation: 21-16=5, Resulting Numbers: [24, 5]
Generated Node #0,1,1: 91:[24, 5] Operation: 21-16=5
Exploring Operation: 16+24=40, Resulting Numbers: [21, 40]
Generated Node #0,1,2: 91:[21, 40] Operation: 16+24=40
Exploring Operation: 16+21=37, Resulting Numbers: [24, 37]
Generated Node #0,1,3: 91:[24, 37] Operation: 16+21=37
Exploring Operation: 24-16=8, Resulting Numbers: [21, 8]
Generated Node #0,1,4: 91:[21, 8] Operation: 24-16=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[16, 3], Operations: ['98-74=24', '24-21=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,91 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,91 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 #0,1,4
Current State: 91:[21, 8], Operations: ['98-74=24', '24-16=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,91 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,91 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 #0,1,1
Current State: 91:[24, 5], Operations: ['98-74=24', '21-16=5']
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,91 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,91 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 #0,1,2
Current State: 91:[21, 40], Operations: ['98-74=24', '16+24=40']
Exploring Operation: 21*40=840, Resulting Numbers: [840]
840,91 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,91 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 #0,1,3
Current State: 91:[24, 37], Operations: ['98-74=24', '16+21=37']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,91 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: 91:[98, 74, 5], Operations: ['21-16=5']
Exploring Operation: 98-5=93, Resulting Numbers: [74, 93]
Generated Node #0,3,0: 91:[74, 93] Operation: 98-5=93
Exploring Operation: 74+5=79, Resulting Numbers: [98, 79]
Generated Node #0,3,1: 91:[98, 79] Operation: 74+5=79
Exploring Operation: 98-74=24, Resulting Numbers: [5, 24]
Generated Node #0,3,2: 91:[5, 24] Operation: 98-74=24
Exploring Operation: 98+5=103, Resulting Numbers: [74, 103]
Generated Node #0,3,3: 91:[74, 103] Operation: 98+5=103
Exploring Operation: 74-5=69, Resulting Numbers: [98, 69]
Generated Node #0,3,4: 91:[98, 69] Operation: 74-5=69
Moving to Node #0,4
Current State: 91:[21, 74, 82], Operations: ['98-16=82']
Exploring Operation: 82-21=61, Resulting Numbers: [74, 61]
Generated Node #0,4,0: 91:[74, 61] Operation: 82-21=61
Exploring Operation: 21+82=103, Resulting Numbers: [74, 103]
Generated Node #0,4,1: 91:[74, 103] Operation: 21+82=103
Exploring Operation: 82-74=8, Resulting Numbers: [21, 8]
Generated Node #0,4,2: 91:[21, 8] Operation: 82-74=8
Exploring Operation: 21+74=95, Resulting Numbers: [82, 95]
Generated Node #0,4,3: 91:[82, 95] Operation: 21+74=95
Exploring Operation: 74-21=53, Resulting Numbers: [82, 53]
Generated Node #0,4,4: 91:[82, 53] Operation: 74-21=53
Moving to Node #0,2,4
Current State: 91:[21, 8], Operations: ['16+74=90', '98-90=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,91 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Moving to Node #0,4,2
Current State: 91:[21, 8], Operations: ['98-16=82', '82-74=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,91 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Moving to Node #0,3,2
Current State: 91:[5, 24], Operations: ['21-16=5', '98-74=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,91 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Moving to Node #0,4,3
Current State: 91:[82, 95], Operations: ['98-16=82', '21+74=95']
Exploring Operation: 95-82=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 82*95=7790, Resulting Numbers: [7790]
7790,91 unequal: No Solution
Exploring Operation: 82+95=177, Resulting Numbers: [177]
177,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[90, 77], Operations: ['16+74=90', '98-21=77']
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,91 unequal: No Solution
Exploring Operation: 90*77=6930, Resulting Numbers: [6930]
6930,91 unequal: No Solution
Moving to Node #0,3,0
Current State: 91:[74, 93], Operations: ['21-16=5', '98-5=93']
Exploring Operation: 74*93=6882, Resulting Numbers: [6882]
6882,91 unequal: No Solution
Exploring Operation: 93-74=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 74+93=167, Resulting Numbers: [167]
167,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[98, 79], Operations: ['21-16=5', '74+5=79']
Exploring Operation: 98+79=177, Resulting Numbers: [177]
177,91 unequal: No Solution
Exploring Operation: 98*79=7742, Resulting Numbers: [7742]
7742,91 unequal: No Solution
Exploring Operation: 98-79=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[98, 111], Operations: ['16+74=90', '21+90=111']
Exploring Operation: 98*111=10878, Resulting Numbers: [10878]
10878,91 unequal: No Solution
Exploring Operation: 98+111=209, Resulting Numbers: [209]
209,91 unequal: No Solution
Exploring Operation: 111-98=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Moving to Node #0,4,1
Current State: 91:[74, 103], Operations: ['98-16=82', '21+82=103']
Exploring Operation: 74+103=177, Resulting Numbers: [177]
177,91 unequal: No Solution
Exploring Operation: 74*103=7622, Resulting Numbers: [7622]
7622,91 unequal: No Solution
Exploring Operation: 103-74=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[98, 69], Operations: ['16+74=90', '90-21=69']
Exploring Operation: 98-69=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 98+69=167, Resulting Numbers: [167]
167,91 unequal: No Solution
Exploring Operation: 98*69=6762, Resulting Numbers: [6762]
6762,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[90, 119], Operations: ['16+74=90', '21+98=119']
Exploring Operation: 90*119=10710, Resulting Numbers: [10710]
10710,91 unequal: No Solution
Exploring Operation: 90+119=209, Resulting Numbers: [209]
209,91 unequal: No Solution
Exploring Operation: 119-90=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Moving to Node #0,3,4
Current State: 91:[98, 69], Operations: ['21-16=5', '74-5=69']
Exploring Operation: 98-69=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 98+69=167, Resulting Numbers: [167]
167,91 unequal: No Solution
Exploring Operation: 98*69=6762, Resulting Numbers: [6762]
6762,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[74, 103], Operations: ['21-16=5', '98+5=103']
Exploring Operation: 74+103=177, Resulting Numbers: [177]
177,91 unequal: No Solution
Exploring Operation: 103-74=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 74*103=7622, Resulting Numbers: [7622]
7622,91 unequal: No Solution
Moving to Node #0,4,0
Current State: 91:[74, 61], Operations: ['98-16=82', '82-21=61']
Exploring Operation: 74+61=135, Resulting Numbers: [135]
135,91 unequal: No Solution
Exploring Operation: 74*61=4514, Resulting Numbers: [4514]
4514,91 unequal: No Solution
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Moving to Node #0,4,4
Current State: 91:[82, 53], Operations: ['98-16=82', '74-21=53']
Exploring Operation: 82+53=135, Resulting Numbers: [135]
135,91 unequal: No Solution
Exploring Operation: 82-53=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 82*53=4346, Resulting Numbers: [4346]
4346,91 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
17,
4,
60,
14
] | 45 | [
"17-14=3",
"60/4=15",
"3*15=45"
] | Current State: 45:[17, 4, 60, 14], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [4, 60, 3]
Generated Node #2: [4, 60, 3] from Operation: 17-14=3
Current State: 45:[4, 60, 3], Operations: ['17-14=3']
Exploring Operation: 60/4=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 60/4=15
Current State: 45:[3, 15], Operations: ['17-14=3', '60/4=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[17, 4, 60, 14], Operations: []
Exploring Operation: 60-17=43, Resulting Numbers: [4, 14, 43]
Generated Node #0,0: 45:[4, 14, 43] Operation: 60-17=43
Exploring Operation: 17-14=3, Resulting Numbers: [4, 60, 3]
Generated Node #0,1: 45:[4, 60, 3] Operation: 17-14=3
Exploring Operation: 60-14=46, Resulting Numbers: [17, 4, 46]
Generated Node #0,2: 45:[17, 4, 46] Operation: 60-14=46
Exploring Operation: 60-4=56, Resulting Numbers: [17, 14, 56]
Generated Node #0,3: 45:[17, 14, 56] Operation: 60-4=56
Exploring Operation: 60/4=15, Resulting Numbers: [17, 14, 15]
Generated Node #0,4: 45:[17, 14, 15] Operation: 60/4=15
Moving to Node #0,4
Current State: 45:[17, 14, 15], Operations: ['60/4=15']
Exploring Operation: 15-14=1, Resulting Numbers: [17, 1]
Generated Node #0,4,0: 45:[17, 1] Operation: 15-14=1
Exploring Operation: 17-14=3, Resulting Numbers: [15, 3]
Generated Node #0,4,1: 45:[15, 3] Operation: 17-14=3
Exploring Operation: 17+14=31, Resulting Numbers: [15, 31]
Generated Node #0,4,2: 45:[15, 31] Operation: 17+14=31
Exploring Operation: 17+15=32, Resulting Numbers: [14, 32]
Generated Node #0,4,3: 45:[14, 32] Operation: 17+15=32
Exploring Operation: 17-15=2, Resulting Numbers: [14, 2]
Generated Node #0,4,4: 45:[14, 2] Operation: 17-15=2
Moving to Node #0,2
Current State: 45:[17, 4, 46], Operations: ['60-14=46']
Exploring Operation: 46-4=42, Resulting Numbers: [17, 42]
Generated Node #0,2,0: 45:[17, 42] Operation: 46-4=42
Exploring Operation: 17+4=21, Resulting Numbers: [46, 21]
Generated Node #0,2,1: 45:[46, 21] Operation: 17+4=21
Exploring Operation: 46-17=29, Resulting Numbers: [4, 29]
Generated Node #0,2,2: 45:[4, 29] Operation: 46-17=29
Exploring Operation: 17-4=13, Resulting Numbers: [46, 13]
Generated Node #0,2,3: 45:[46, 13] Operation: 17-4=13
Exploring Operation: 4+46=50, Resulting Numbers: [17, 50]
Generated Node #0,2,4: 45:[17, 50] Operation: 4+46=50
Moving to Node #0,0
Current State: 45:[4, 14, 43], Operations: ['60-17=43']
Exploring Operation: 4*14=56, Resulting Numbers: [43, 56]
Generated Node #0,0,0: 45:[43, 56] Operation: 4*14=56
Exploring Operation: 4+43=47, Resulting Numbers: [14, 47]
Generated Node #0,0,1: 45:[14, 47] Operation: 4+43=47
Exploring Operation: 43-4=39, Resulting Numbers: [14, 39]
Generated Node #0,0,2: 45:[14, 39] Operation: 43-4=39
Exploring Operation: 14-4=10, Resulting Numbers: [43, 10]
Generated Node #0,0,3: 45:[43, 10] Operation: 14-4=10
Exploring Operation: 4+14=18, Resulting Numbers: [43, 18]
Generated Node #0,0,4: 45:[43, 18] Operation: 4+14=18
Moving to Node #0,3
Current State: 45:[17, 14, 56], Operations: ['60-4=56']
Exploring Operation: 17+14=31, Resulting Numbers: [56, 31]
Generated Node #0,3,0: 45:[56, 31] Operation: 17+14=31
Exploring Operation: 17-14=3, Resulting Numbers: [56, 3]
Generated Node #0,3,1: 45:[56, 3] Operation: 17-14=3
Exploring Operation: 56/14=4, Resulting Numbers: [17, 4]
Generated Node #0,3,2: 45:[17, 4] Operation: 56/14=4
Exploring Operation: 56-17=39, Resulting Numbers: [14, 39]
Generated Node #0,3,3: 45:[14, 39] Operation: 56-17=39
Exploring Operation: 56-14=42, Resulting Numbers: [17, 42]
Generated Node #0,3,4: 45:[17, 42] Operation: 56-14=42
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 45:[17, 4], Operations: ['60-4=56', '56/14=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 45:[17, 42], Operations: ['60-4=56', '56-14=42']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 45:[14, 39], Operations: ['60-4=56', '56-17=39']
Exploring Operation: 14*39=546, Resulting Numbers: [546]
546,45 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 14+39=53, Resulting Numbers: [53]
53,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 45:[56, 3], Operations: ['60-4=56', '17-14=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,45 unequal: No Solution
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 56*3=168, Resulting Numbers: [168]
168,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 45:[56, 31], Operations: ['60-4=56', '17+14=31']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 56*31=1736, Resulting Numbers: [1736]
1736,45 unequal: No Solution
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,45 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: 45:[4, 60, 3], Operations: ['17-14=3']
Exploring Operation: 60/3=20, Resulting Numbers: [4, 20]
Generated Node #0,1,0: 45:[4, 20] Operation: 60/3=20
Exploring Operation: 4+3=7, Resulting Numbers: [60, 7]
Generated Node #0,1,1: 45:[60, 7] Operation: 4+3=7
Exploring Operation: 60/4=15, Resulting Numbers: [3, 15]
Generated Node #0,1,2: 45:[3, 15] Operation: 60/4=15
Exploring Operation: 60-4=56, Resulting Numbers: [3, 56]
Generated Node #0,1,3: 45:[3, 56] Operation: 60-4=56
Exploring Operation: 60-3=57, Resulting Numbers: [4, 57]
Generated Node #0,1,4: 45:[4, 57] Operation: 60-3=57
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[3, 15], Operations: ['17-14=3', '60/4=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[17, 4, 60, 14], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [4, 60, 3]
Generated Node #0,1: 45:[4, 60, 3] Operation: 17-14=3
Moving to Node #0,1
Current State: 45:[4, 60, 3], Operations: ['17-14=3']
Exploring Operation: 60/4=15, Resulting Numbers: [3, 15]
Generated Node #0,1,2: 45:[3, 15] Operation: 60/4=15
Moving to Node #0,1,2
Current State: 45:[3, 15], Operations: ['17-14=3', '60/4=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 | hs_5 | sum_heuristic |
[
68,
20,
43,
22
] | 50 | [
"68-43=25",
"22-20=2",
"25*2=50"
] | Current State: 50:[68, 20, 43, 22], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [20, 22, 25]
Generated Node #2: [20, 22, 25] from Operation: 68-43=25
Current State: 50:[20, 22, 25], Operations: ['68-43=25']
Exploring Operation: 22-20=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 22-20=2
Current State: 50:[25, 2], Operations: ['68-43=25', '22-20=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[68, 20, 43, 22], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [43, 22, 48]
Generated Node #0,0: 50:[43, 22, 48] Operation: 68-20=48
Exploring Operation: 68-43=25, Resulting Numbers: [20, 22, 25]
Generated Node #0,1: 50:[20, 22, 25] Operation: 68-43=25
Exploring Operation: 68-22=46, Resulting Numbers: [20, 43, 46]
Generated Node #0,2: 50:[20, 43, 46] Operation: 68-22=46
Moving to Node #0,1
Current State: 50:[20, 22, 25], Operations: ['68-43=25']
Exploring Operation: 25-20=5, Resulting Numbers: [22, 5]
Generated Node #0,1,0: 50:[22, 5] Operation: 25-20=5
Exploring Operation: 25-22=3, Resulting Numbers: [20, 3]
Generated Node #0,1,1: 50:[20, 3] Operation: 25-22=3
Exploring Operation: 22-20=2, Resulting Numbers: [25, 2]
Generated Node #0,1,2: 50:[25, 2] Operation: 22-20=2
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 50:[25, 2], Operations: ['68-43=25', '22-20=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,50 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[68, 20, 43, 22], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [20, 22, 25]
Generated Node #0,1: 50:[20, 22, 25] Operation: 68-43=25
Moving to Node #0,1
Current State: 50:[20, 22, 25], Operations: ['68-43=25']
Exploring Operation: 22-20=2, Resulting Numbers: [25, 2]
Generated Node #0,1,2: 50:[25, 2] Operation: 22-20=2
Moving to Node #0,1,2
Current State: 50:[25, 2], Operations: ['68-43=25', '22-20=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
36,
52,
65,
13
] | 36 | [
"36+52=88",
"65-13=52",
"88-52=36"
] | Current State: 36:[36, 52, 65, 13], Operations: []
Exploring Operation: 36+52=88, Resulting Numbers: [65, 13, 88]
Generated Node #2: [65, 13, 88] from Operation: 36+52=88
Current State: 36:[65, 13, 88], Operations: ['36+52=88']
Exploring Operation: 65-13=52, Resulting Numbers: [88, 52]
Generated Node #3: [88, 52] from Operation: 65-13=52
Current State: 36:[88, 52], Operations: ['36+52=88', '65-13=52']
Exploring Operation: 88-52=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[36, 52, 65, 13], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [52, 13, 29]
Generated Node #0,0: 36:[52, 13, 29] Operation: 65-36=29
Exploring Operation: 52-36=16, Resulting Numbers: [65, 13, 16]
Generated Node #0,1: 36:[65, 13, 16] Operation: 52-36=16
Exploring Operation: 52/13=4, Resulting Numbers: [36, 65, 4]
Generated Node #0,2: 36:[36, 65, 4] Operation: 52/13=4
Exploring Operation: 65/13=5, Resulting Numbers: [36, 52, 5]
Generated Node #0,3: 36:[36, 52, 5] Operation: 65/13=5
Exploring Operation: 65-52=13, Resulting Numbers: [36, 13, 13]
Generated Node #0,4: 36:[36, 13, 13] Operation: 65-52=13
Moving to Node #0,4
Current State: 36:[36, 13, 13], Operations: ['65-52=13']
Exploring Operation: 36-13=23, Resulting Numbers: [13, 23]
Generated Node #0,4,0: 36:[13, 23] Operation: 36-13=23
Exploring Operation: 36-13=23, Resulting Numbers: [13, 23]
Generated Node #0,4,1: 36:[13, 23] Operation: 36-13=23
Exploring Operation: 13/13=1, Resulting Numbers: [36, 1]
Generated Node #0,4,2: 36:[36, 1] Operation: 13/13=1
Exploring Operation: 13+13=26, Resulting Numbers: [36, 26]
Generated Node #0,4,3: 36:[36, 26] Operation: 13+13=26
Exploring Operation: 13-13=0, Resulting Numbers: [36, 0]
Generated Node #0,4,4: 36:[36, 0] Operation: 13-13=0
Moving to Node #0,3
Current State: 36:[36, 52, 5], Operations: ['65/13=5']
Exploring Operation: 36-5=31, Resulting Numbers: [52, 31]
Generated Node #0,3,0: 36:[52, 31] Operation: 36-5=31
Exploring Operation: 52+5=57, Resulting Numbers: [36, 57]
Generated Node #0,3,1: 36:[36, 57] Operation: 52+5=57
Exploring Operation: 36+5=41, Resulting Numbers: [52, 41]
Generated Node #0,3,2: 36:[52, 41] Operation: 36+5=41
Exploring Operation: 52-5=47, Resulting Numbers: [36, 47]
Generated Node #0,3,3: 36:[36, 47] Operation: 52-5=47
Exploring Operation: 52-36=16, Resulting Numbers: [5, 16]
Generated Node #0,3,4: 36:[5, 16] Operation: 52-36=16
Moving to Node #0,0
Current State: 36:[52, 13, 29], Operations: ['65-36=29']
Exploring Operation: 52-13=39, Resulting Numbers: [29, 39]
Generated Node #0,0,0: 36:[29, 39] Operation: 52-13=39
Exploring Operation: 29-13=16, Resulting Numbers: [52, 16]
Generated Node #0,0,1: 36:[52, 16] Operation: 29-13=16
Exploring Operation: 52/13=4, Resulting Numbers: [29, 4]
Generated Node #0,0,2: 36:[29, 4] Operation: 52/13=4
Exploring Operation: 52-29=23, Resulting Numbers: [13, 23]
Generated Node #0,0,3: 36:[13, 23] Operation: 52-29=23
Exploring Operation: 13+29=42, Resulting Numbers: [52, 42]
Generated Node #0,0,4: 36:[52, 42] Operation: 13+29=42
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 36:[13, 23], Operations: ['65-36=29', '52-29=23']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[36, 52, 65, 13], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [52, 13, 29]
Generated Node #0,0: 36:[52, 13, 29] Operation: 65-36=29
Moving to Node #0,0
Current State: 36:[52, 13, 29], Operations: ['65-36=29']
Exploring Operation: 52-29=23, Resulting Numbers: [13, 23]
Generated Node #0,0,3: 36:[13, 23] Operation: 52-29=23
Moving to Node #0,0,3
Current State: 36:[13, 23], Operations: ['65-36=29', '52-29=23']
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
71,
42,
73,
13
] | 97 | [
"73-71=2",
"42*2=84",
"13+84=97"
] | Current State: 97:[71, 42, 73, 13], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [42, 13, 2]
Generated Node #2: [42, 13, 2] from Operation: 73-71=2
Current State: 97:[42, 13, 2], Operations: ['73-71=2']
Exploring Operation: 42*2=84, Resulting Numbers: [13, 84]
Generated Node #3: [13, 84] from Operation: 42*2=84
Current State: 97:[13, 84], Operations: ['73-71=2', '42*2=84']
Exploring Operation: 13+84=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[71, 42, 73, 13], Operations: []
Exploring Operation: 71+13=84, Resulting Numbers: [42, 73, 84]
Generated Node #0,0: 97:[42, 73, 84] Operation: 71+13=84
Exploring Operation: 73+13=86, Resulting Numbers: [71, 42, 86]
Generated Node #0,1: 97:[71, 42, 86] Operation: 73+13=86
Exploring Operation: 42+13=55, Resulting Numbers: [71, 73, 55]
Generated Node #0,2: 97:[71, 73, 55] Operation: 42+13=55
Exploring Operation: 71-13=58, Resulting Numbers: [42, 73, 58]
Generated Node #0,3: 97:[42, 73, 58] Operation: 71-13=58
Moving to Node #0,0
Current State: 97:[42, 73, 84], Operations: ['71+13=84']
Exploring Operation: 84-42=42, Resulting Numbers: [73, 42]
Generated Node #0,0,0: 97:[73, 42] Operation: 84-42=42
Exploring Operation: 42+73=115, Resulting Numbers: [84, 115]
Generated Node #0,0,1: 97:[84, 115] Operation: 42+73=115
Exploring Operation: 42+84=126, Resulting Numbers: [73, 126]
Generated Node #0,0,2: 97:[73, 126] Operation: 42+84=126
Exploring Operation: 73-42=31, Resulting Numbers: [84, 31]
Generated Node #0,0,3: 97:[84, 31] Operation: 73-42=31
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[84, 115], Operations: ['71+13=84', '42+73=115']
Exploring Operation: 84*115=9660, Resulting Numbers: [9660]
9660,97 unequal: No Solution
Exploring Operation: 115-84=31, Resulting Numbers: [31]
31,97 unequal: No Solution
Exploring Operation: 84+115=199, Resulting Numbers: [199]
199,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 97:[73, 126], Operations: ['71+13=84', '42+84=126']
Exploring Operation: 126-73=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 73+126=199, Resulting Numbers: [199]
199,97 unequal: No Solution
Exploring Operation: 73*126=9198, Resulting Numbers: [9198]
9198,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[73, 42], Operations: ['71+13=84', '84-42=42']
Exploring Operation: 73*42=3066, Resulting Numbers: [3066]
3066,97 unequal: No Solution
Exploring Operation: 73-42=31, Resulting Numbers: [31]
31,97 unequal: No Solution
Exploring Operation: 73+42=115, Resulting Numbers: [115]
115,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 97:[84, 31], Operations: ['71+13=84', '73-42=31']
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 84*31=2604, Resulting Numbers: [2604]
2604,97 unequal: No Solution
Exploring Operation: 84+31=115, Resulting Numbers: [115]
115,97 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: 97:[71, 73, 55], Operations: ['42+13=55']
Exploring Operation: 71+73=144, Resulting Numbers: [55, 144]
Generated Node #0,2,0: 97:[55, 144] Operation: 71+73=144
Exploring Operation: 73+55=128, Resulting Numbers: [71, 128]
Generated Node #0,2,1: 97:[71, 128] Operation: 73+55=128
Exploring Operation: 71+55=126, Resulting Numbers: [73, 126]
Generated Node #0,2,2: 97:[73, 126] Operation: 71+55=126
Exploring Operation: 71-55=16, Resulting Numbers: [73, 16]
Generated Node #0,2,3: 97:[73, 16] Operation: 71-55=16
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[73, 126], Operations: ['42+13=55', '71+55=126']
Exploring Operation: 126-73=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 73+126=199, Resulting Numbers: [199]
199,97 unequal: No Solution
Exploring Operation: 73*126=9198, Resulting Numbers: [9198]
9198,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 97:[71, 128], Operations: ['42+13=55', '73+55=128']
Exploring Operation: 128-71=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Exploring Operation: 71+128=199, Resulting Numbers: [199]
199,97 unequal: No Solution
Exploring Operation: 71*128=9088, Resulting Numbers: [9088]
9088,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 97:[55, 144], Operations: ['42+13=55', '71+73=144']
Exploring Operation: 55*144=7920, Resulting Numbers: [7920]
7920,97 unequal: No Solution
Exploring Operation: 55+144=199, Resulting Numbers: [199]
199,97 unequal: No Solution
Exploring Operation: 144-55=89, Resulting Numbers: [89]
89,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 97:[73, 16], Operations: ['42+13=55', '71-55=16']
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Exploring Operation: 73*16=1168, Resulting Numbers: [1168]
1168,97 unequal: No Solution
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 97:[71, 42, 86], Operations: ['73+13=86']
Exploring Operation: 42+86=128, Resulting Numbers: [71, 128]
Generated Node #0,1,0: 97:[71, 128] Operation: 42+86=128
Exploring Operation: 71+42=113, Resulting Numbers: [86, 113]
Generated Node #0,1,1: 97:[86, 113] Operation: 71+42=113
Exploring Operation: 86-42=44, Resulting Numbers: [71, 44]
Generated Node #0,1,2: 97:[71, 44] Operation: 86-42=44
Exploring Operation: 71-42=29, Resulting Numbers: [86, 29]
Generated Node #0,1,3: 97:[86, 29] Operation: 71-42=29
Moving to Node #0,3
Current State: 97:[42, 73, 58], Operations: ['71-13=58']
Exploring Operation: 73-42=31, Resulting Numbers: [58, 31]
Generated Node #0,3,0: 97:[58, 31] Operation: 73-42=31
Exploring Operation: 73+58=131, Resulting Numbers: [42, 131]
Generated Node #0,3,1: 97:[42, 131] Operation: 73+58=131
Exploring Operation: 42+73=115, Resulting Numbers: [58, 115]
Generated Node #0,3,2: 97:[58, 115] Operation: 42+73=115
Exploring Operation: 42+58=100, Resulting Numbers: [73, 100]
Generated Node #0,3,3: 97:[73, 100] Operation: 42+58=100
Moving to Node #0,1,1
Current State: 97:[86, 113], Operations: ['73+13=86', '71+42=113']
Exploring Operation: 86*113=9718, Resulting Numbers: [9718]
9718,97 unequal: No Solution
Exploring Operation: 86+113=199, Resulting Numbers: [199]
199,97 unequal: No Solution
Exploring Operation: 113-86=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[73, 100], Operations: ['71-13=58', '42+58=100']
Exploring Operation: 73+100=173, Resulting Numbers: [173]
173,97 unequal: No Solution
Exploring Operation: 73*100=7300, Resulting Numbers: [7300]
7300,97 unequal: No Solution
Exploring Operation: 100-73=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[58, 115], Operations: ['71-13=58', '42+73=115']
Exploring Operation: 58*115=6670, Resulting Numbers: [6670]
6670,97 unequal: No Solution
Exploring Operation: 115-58=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Exploring Operation: 58+115=173, Resulting Numbers: [173]
173,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[71, 128], Operations: ['73+13=86', '42+86=128']
Exploring Operation: 71+128=199, Resulting Numbers: [199]
199,97 unequal: No Solution
Exploring Operation: 128-71=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Exploring Operation: 71*128=9088, Resulting Numbers: [9088]
9088,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[71, 44], Operations: ['73+13=86', '86-42=44']
Exploring Operation: 71+44=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Exploring Operation: 71*44=3124, Resulting Numbers: [3124]
3124,97 unequal: No Solution
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[86, 29], Operations: ['73+13=86', '71-42=29']
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Exploring Operation: 86*29=2494, Resulting Numbers: [2494]
2494,97 unequal: No Solution
Exploring Operation: 86+29=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[42, 131], Operations: ['71-13=58', '73+58=131']
Exploring Operation: 131-42=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 42*131=5502, Resulting Numbers: [5502]
5502,97 unequal: No Solution
Exploring Operation: 42+131=173, Resulting Numbers: [173]
173,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[58, 31], Operations: ['71-13=58', '73-42=31']
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,97 unequal: No Solution
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,97 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
85,
77,
83,
4
] | 83 | [
"85+77=162",
"83-4=79",
"162-79=83"
] | Current State: 83:[85, 77, 83, 4], Operations: []
Exploring Operation: 85+77=162, Resulting Numbers: [83, 4, 162]
Generated Node #2: [83, 4, 162] from Operation: 85+77=162
Current State: 83:[83, 4, 162], Operations: ['85+77=162']
Exploring Operation: 83-4=79, Resulting Numbers: [162, 79]
Generated Node #3: [162, 79] from Operation: 83-4=79
Current State: 83:[162, 79], Operations: ['85+77=162', '83-4=79']
Exploring Operation: 162-79=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[85, 77, 83, 4], Operations: []
Exploring Operation: 77+4=81, Resulting Numbers: [85, 83, 81]
Generated Node #0,0: 83:[85, 83, 81] Operation: 77+4=81
Moving to Node #0,0
Current State: 83:[85, 83, 81], Operations: ['77+4=81']
Exploring Operation: 85-81=4, Resulting Numbers: [83, 4]
Generated Node #0,0,0: 83:[83, 4] Operation: 85-81=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[83, 4], Operations: ['77+4=81', '85-81=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,83 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 |
[
7,
77,
36,
55
] | 56 | [
"55-36=19",
"7*19=133",
"133-77=56"
] | Current State: 56:[7, 77, 36, 55], Operations: []
Exploring Operation: 55-36=19, Resulting Numbers: [7, 77, 19]
Generated Node #2: [7, 77, 19] from Operation: 55-36=19
Current State: 56:[7, 77, 19], Operations: ['55-36=19']
Exploring Operation: 7*19=133, Resulting Numbers: [77, 133]
Generated Node #3: [77, 133] from Operation: 7*19=133
Current State: 56:[77, 133], Operations: ['55-36=19', '7*19=133']
Exploring Operation: 133-77=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[7, 77, 36, 55], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [36, 55, 11]
Generated Node #0,0: 56:[36, 55, 11] Operation: 77/7=11
Moving to Node #0,0
Current State: 56:[36, 55, 11], Operations: ['77/7=11']
Exploring Operation: 36-11=25, Resulting Numbers: [55, 25]
Generated Node #0,0,0: 56:[55, 25] Operation: 36-11=25
Moving to Node #0,0,0
Current State: 56:[55, 25], Operations: ['77/7=11', '36-11=25']
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,56 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
68,
67,
58,
65
] | 48 | [
"67-65=2",
"58*2=116",
"116-68=48"
] | Current State: 48:[68, 67, 58, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [68, 58, 2]
Generated Node #2: [68, 58, 2] from Operation: 67-65=2
Current State: 48:[68, 58, 2], Operations: ['67-65=2']
Exploring Operation: 58*2=116, Resulting Numbers: [68, 116]
Generated Node #3: [68, 116] from Operation: 58*2=116
Current State: 48:[68, 116], Operations: ['67-65=2', '58*2=116']
Exploring Operation: 116-68=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[68, 67, 58, 65], Operations: []
Exploring Operation: 68-65=3, Resulting Numbers: [67, 58, 3]
Generated Node #0,0: 48:[67, 58, 3] Operation: 68-65=3
Exploring Operation: 68-67=1, Resulting Numbers: [58, 65, 1]
Generated Node #0,1: 48:[58, 65, 1] Operation: 68-67=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[58, 65, 1], Operations: ['68-67=1']
Exploring Operation: 65-58=7, Resulting Numbers: [1, 7]
Generated Node #0,1,0: 48:[1, 7] Operation: 65-58=7
Exploring Operation: 58-1=57, Resulting Numbers: [65, 57]
Generated Node #0,1,1: 48:[65, 57] Operation: 58-1=57
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[1, 7], Operations: ['68-67=1', '65-58=7']
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,48 unequal: No Solution
No 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: 48:[65, 57], Operations: ['68-67=1', '58-1=57']
Exploring Operation: 65+57=122, Resulting Numbers: [122]
122,48 unequal: No Solution
Exploring Operation: 65-57=8, Resulting Numbers: [8]
8,48 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: 48:[67, 58, 3], Operations: ['68-65=3']
Exploring Operation: 67-58=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 48:[3, 9] Operation: 67-58=9
Exploring Operation: 67-3=64, Resulting Numbers: [58, 64]
Generated Node #0,0,1: 48:[58, 64] Operation: 67-3=64
Moving to Node #0,0,0
Current State: 48:[3, 9], Operations: ['68-65=3', '67-58=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[58, 64], Operations: ['68-65=3', '67-3=64']
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 58+64=122, Resulting Numbers: [122]
122,48 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 |
[
32,
30,
21,
17
] | 25 | [
"32-30=2",
"21*2=42",
"42-17=25"
] | Current State: 25:[32, 30, 21, 17], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [21, 17, 2]
Generated Node #2: [21, 17, 2] from Operation: 32-30=2
Current State: 25:[21, 17, 2], Operations: ['32-30=2']
Exploring Operation: 21*2=42, Resulting Numbers: [17, 42]
Generated Node #3: [17, 42] from Operation: 21*2=42
Current State: 25:[17, 42], Operations: ['32-30=2', '21*2=42']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[32, 30, 21, 17], Operations: []
Exploring Operation: 32-17=15, Resulting Numbers: [30, 21, 15]
Generated Node #0,0: 25:[30, 21, 15] Operation: 32-17=15
Exploring Operation: 32-21=11, Resulting Numbers: [30, 17, 11]
Generated Node #0,1: 25:[30, 17, 11] Operation: 32-21=11
Exploring Operation: 21-17=4, Resulting Numbers: [32, 30, 4]
Generated Node #0,2: 25:[32, 30, 4] Operation: 21-17=4
Exploring Operation: 32-30=2, Resulting Numbers: [21, 17, 2]
Generated Node #0,3: 25:[21, 17, 2] Operation: 32-30=2
Moving to Node #0,2
Current State: 25:[32, 30, 4], Operations: ['21-17=4']
Exploring Operation: 32/4=8, Resulting Numbers: [30, 8]
Generated Node #0,2,0: 25:[30, 8] Operation: 32/4=8
Exploring Operation: 30-4=26, Resulting Numbers: [32, 26]
Generated Node #0,2,1: 25:[32, 26] Operation: 30-4=26
Exploring Operation: 32-4=28, Resulting Numbers: [30, 28]
Generated Node #0,2,2: 25:[30, 28] Operation: 32-4=28
Exploring Operation: 32-30=2, Resulting Numbers: [4, 2]
Generated Node #0,2,3: 25:[4, 2] Operation: 32-30=2
Moving to Node #0,3
Current State: 25:[21, 17, 2], Operations: ['32-30=2']
Exploring Operation: 17+2=19, Resulting Numbers: [21, 19]
Generated Node #0,3,0: 25:[21, 19] Operation: 17+2=19
Exploring Operation: 21+2=23, Resulting Numbers: [17, 23]
Generated Node #0,3,1: 25:[17, 23] Operation: 21+2=23
Exploring Operation: 21-17=4, Resulting Numbers: [2, 4]
Generated Node #0,3,2: 25:[2, 4] Operation: 21-17=4
Exploring Operation: 17*2=34, Resulting Numbers: [21, 34]
Generated Node #0,3,3: 25:[21, 34] Operation: 17*2=34
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 25:[2, 4], Operations: ['32-30=2', '21-17=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[21, 19], Operations: ['32-30=2', '17+2=19']
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,25 unequal: No Solution
Exploring Operation: 21*19=399, Resulting Numbers: [399]
399,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[17, 23], Operations: ['32-30=2', '21+2=23']
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,25 unequal: No Solution
Exploring Operation: 17*23=391, Resulting Numbers: [391]
391,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[21, 34], Operations: ['32-30=2', '17*2=34']
Exploring Operation: 21*34=714, Resulting Numbers: [714]
714,25 unequal: No Solution
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 21+34=55, Resulting Numbers: [55]
55,25 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: 25:[30, 17, 11], Operations: ['32-21=11']
Exploring Operation: 30-11=19, Resulting Numbers: [17, 19]
Generated Node #0,1,0: 25:[17, 19] Operation: 30-11=19
Exploring Operation: 30-17=13, Resulting Numbers: [11, 13]
Generated Node #0,1,1: 25:[11, 13] Operation: 30-17=13
Exploring Operation: 17+11=28, Resulting Numbers: [30, 28]
Generated Node #0,1,2: 25:[30, 28] Operation: 17+11=28
Exploring Operation: 17-11=6, Resulting Numbers: [30, 6]
Generated Node #0,1,3: 25:[30, 6] Operation: 17-11=6
Moving to Node #0,0
Current State: 25:[30, 21, 15], Operations: ['32-17=15']
Exploring Operation: 30-15=15, Resulting Numbers: [21, 15]
Generated Node #0,0,0: 25:[21, 15] Operation: 30-15=15
Exploring Operation: 30-21=9, Resulting Numbers: [15, 9]
Generated Node #0,0,1: 25:[15, 9] Operation: 30-21=9
Exploring Operation: 21-15=6, Resulting Numbers: [30, 6]
Generated Node #0,0,2: 25:[30, 6] Operation: 21-15=6
Exploring Operation: 30/15=2, Resulting Numbers: [21, 2]
Generated Node #0,0,3: 25:[21, 2] Operation: 30/15=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[30, 6], Operations: ['32-17=15', '21-15=6']
Exploring Operation: 30*6=180, Resulting Numbers: [180]
180,25 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[21, 2], Operations: ['32-17=15', '30/15=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[21, 15], Operations: ['32-17=15', '30-15=15']
Exploring Operation: 21*15=315, Resulting Numbers: [315]
315,25 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[15, 9], Operations: ['32-17=15', '30-21=9']
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 25:[4, 2], Operations: ['21-17=4', '32-30=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[30, 6], Operations: ['32-21=11', '17-11=6']
Exploring Operation: 30*6=180, Resulting Numbers: [180]
180,25 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[32, 26], Operations: ['21-17=4', '30-4=26']
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,25 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[30, 28], Operations: ['32-21=11', '17+11=28']
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[30, 8], Operations: ['21-17=4', '32/4=8']
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,25 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[30, 28], Operations: ['21-17=4', '32-4=28']
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,25 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[11, 13], Operations: ['32-21=11', '30-17=13']
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,25 unequal: No Solution
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[17, 19], Operations: ['32-21=11', '30-11=19']
Exploring Operation: 17*19=323, Resulting Numbers: [323]
323,25 unequal: No Solution
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,25 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
80,
42,
40,
19
] | 38 | [
"80-42=38",
"40-38=2",
"19*2=38"
] | Current State: 38:[80, 42, 40, 19], Operations: []
Exploring Operation: 80-42=38, Resulting Numbers: [40, 19, 38]
Generated Node #2: [40, 19, 38] from Operation: 80-42=38
Current State: 38:[40, 19, 38], Operations: ['80-42=38']
Exploring Operation: 40-38=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 40-38=2
Current State: 38:[19, 2], Operations: ['80-42=38', '40-38=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[80, 42, 40, 19], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [42, 19, 2]
Generated Node #0,0: 38:[42, 19, 2] Operation: 80/40=2
Exploring Operation: 80-42=38, Resulting Numbers: [40, 19, 38]
Generated Node #0,1: 38:[40, 19, 38] Operation: 80-42=38
Exploring Operation: 80-40=40, Resulting Numbers: [42, 19, 40]
Generated Node #0,2: 38:[42, 19, 40] Operation: 80-40=40
Moving to Node #0,1
Current State: 38:[40, 19, 38], Operations: ['80-42=38']
Exploring Operation: 40-19=21, Resulting Numbers: [38, 21]
Generated Node #0,1,0: 38:[38, 21] Operation: 40-19=21
Exploring Operation: 38-19=19, Resulting Numbers: [40, 19]
Generated Node #0,1,1: 38:[40, 19] Operation: 38-19=19
Exploring Operation: 40-38=2, Resulting Numbers: [19, 2]
Generated Node #0,1,2: 38:[19, 2] Operation: 40-38=2
Moving to Node #0,0
Current State: 38:[42, 19, 2], Operations: ['80/40=2']
Exploring Operation: 42/2=21, Resulting Numbers: [19, 21]
Generated Node #0,0,0: 38:[19, 21] Operation: 42/2=21
Exploring Operation: 42-2=40, Resulting Numbers: [19, 40]
Generated Node #0,0,1: 38:[19, 40] Operation: 42-2=40
Exploring Operation: 42-19=23, Resulting Numbers: [2, 23]
Generated Node #0,0,2: 38:[2, 23] Operation: 42-19=23
Moving to Node #0,2
Current State: 38:[42, 19, 40], Operations: ['80-40=40']
Exploring Operation: 42-19=23, Resulting Numbers: [40, 23]
Generated Node #0,2,0: 38:[40, 23] Operation: 42-19=23
Exploring Operation: 40-19=21, Resulting Numbers: [42, 21]
Generated Node #0,2,1: 38:[42, 21] Operation: 40-19=21
Exploring Operation: 42-40=2, Resulting Numbers: [19, 2]
Generated Node #0,2,2: 38:[19, 2] Operation: 42-40=2
Moving to Node #0,1,2
Current State: 38:[19, 2], Operations: ['80-42=38', '40-38=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[80, 42, 40, 19], Operations: []
Exploring Operation: 80-42=38, Resulting Numbers: [40, 19, 38]
Generated Node #0,1: 38:[40, 19, 38] Operation: 80-42=38
Moving to Node #0,1
Current State: 38:[40, 19, 38], Operations: ['80-42=38']
Exploring Operation: 40-38=2, Resulting Numbers: [19, 2]
Generated Node #0,1,2: 38:[19, 2] Operation: 40-38=2
Moving to Node #0,1,2
Current State: 38:[19, 2], Operations: ['80-42=38', '40-38=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.985243 | hs_3 | sum_heuristic |
[
5,
6,
17,
32
] | 19 | [
"5*6=30",
"17+32=49",
"49-30=19"
] | Current State: 19:[5, 6, 17, 32], Operations: []
Exploring Operation: 5*6=30, Resulting Numbers: [17, 32, 30]
Generated Node #2: [17, 32, 30] from Operation: 5*6=30
Current State: 19:[17, 32, 30], Operations: ['5*6=30']
Exploring Operation: 17+32=49, Resulting Numbers: [30, 49]
Generated Node #3: [30, 49] from Operation: 17+32=49
Current State: 19:[30, 49], Operations: ['5*6=30', '17+32=49']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[5, 6, 17, 32], Operations: []
Exploring Operation: 5+6=11, Resulting Numbers: [17, 32, 11]
Generated Node #0,0: 19:[17, 32, 11] Operation: 5+6=11
Exploring Operation: 32-6=26, Resulting Numbers: [5, 17, 26]
Generated Node #0,1: 19:[5, 17, 26] Operation: 32-6=26
Exploring Operation: 5*6=30, Resulting Numbers: [17, 32, 30]
Generated Node #0,2: 19:[17, 32, 30] Operation: 5*6=30
Exploring Operation: 32-5=27, Resulting Numbers: [6, 17, 27]
Generated Node #0,3: 19:[6, 17, 27] Operation: 32-5=27
Moving to Node #0,0
Current State: 19:[17, 32, 11], Operations: ['5+6=11']
Exploring Operation: 32-17=15, Resulting Numbers: [11, 15]
Generated Node #0,0,0: 19:[11, 15] Operation: 32-17=15
Exploring Operation: 32-11=21, Resulting Numbers: [17, 21]
Generated Node #0,0,1: 19:[17, 21] Operation: 32-11=21
Exploring Operation: 17-11=6, Resulting Numbers: [32, 6]
Generated Node #0,0,2: 19:[32, 6] Operation: 17-11=6
Exploring Operation: 17+11=28, Resulting Numbers: [32, 28]
Generated Node #0,0,3: 19:[32, 28] Operation: 17+11=28
Moving to Node #0,3
Current State: 19:[6, 17, 27], Operations: ['32-5=27']
Exploring Operation: 6+17=23, Resulting Numbers: [27, 23]
Generated Node #0,3,0: 19:[27, 23] Operation: 6+17=23
Exploring Operation: 17-6=11, Resulting Numbers: [27, 11]
Generated Node #0,3,1: 19:[27, 11] Operation: 17-6=11
Exploring Operation: 27-6=21, Resulting Numbers: [17, 21]
Generated Node #0,3,2: 19:[17, 21] Operation: 27-6=21
Exploring Operation: 6+27=33, Resulting Numbers: [17, 33]
Generated Node #0,3,3: 19:[17, 33] Operation: 6+27=33
Moving to Node #0,1
Current State: 19:[5, 17, 26], Operations: ['32-6=26']
Exploring Operation: 17-5=12, Resulting Numbers: [26, 12]
Generated Node #0,1,0: 19:[26, 12] Operation: 17-5=12
Exploring Operation: 5+17=22, Resulting Numbers: [26, 22]
Generated Node #0,1,1: 19:[26, 22] Operation: 5+17=22
Exploring Operation: 26-5=21, Resulting Numbers: [17, 21]
Generated Node #0,1,2: 19:[17, 21] Operation: 26-5=21
Exploring Operation: 5+26=31, Resulting Numbers: [17, 31]
Generated Node #0,1,3: 19:[17, 31] Operation: 5+26=31
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[17, 21], Operations: ['32-6=26', '26-5=21']
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,19 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[26, 22], Operations: ['32-6=26', '5+17=22']
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[26, 12], Operations: ['32-6=26', '17-5=12']
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 26*12=312, Resulting Numbers: [312]
312,19 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 19:[17, 31], Operations: ['32-6=26', '5+26=31']
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,19 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,19 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: 19:[17, 32, 30], Operations: ['5*6=30']
Exploring Operation: 32-17=15, Resulting Numbers: [30, 15]
Generated Node #0,2,0: 19:[30, 15] Operation: 32-17=15
Exploring Operation: 32-30=2, Resulting Numbers: [17, 2]
Generated Node #0,2,1: 19:[17, 2] Operation: 32-30=2
Exploring Operation: 17+32=49, Resulting Numbers: [30, 49]
Generated Node #0,2,2: 19:[30, 49] Operation: 17+32=49
Exploring Operation: 30-17=13, Resulting Numbers: [32, 13]
Generated Node #0,2,3: 19:[32, 13] Operation: 30-17=13
Moving to Node #0,0,1
Current State: 19:[17, 21], Operations: ['5+6=11', '32-11=21']
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,19 unequal: No Solution
Moving to Node #0,3,2
Current State: 19:[17, 21], Operations: ['32-5=27', '27-6=21']
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[27, 23], Operations: ['32-5=27', '6+17=23']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 27*23=621, Resulting Numbers: [621]
621,19 unequal: No Solution
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[11, 15], Operations: ['5+6=11', '32-17=15']
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,19 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,19 unequal: No Solution
Moving to Node #0,2,0
Current State: 19:[30, 15], Operations: ['5*6=30', '32-17=15']
Exploring Operation: 30*15=450, Resulting Numbers: [450]
450,19 unequal: No Solution
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,19 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Moving to Node #0,3,1
Current State: 19:[27, 11], Operations: ['32-5=27', '17-6=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,19 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[17, 33], Operations: ['32-5=27', '6+27=33']
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,19 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[32, 13], Operations: ['5*6=30', '30-17=13']
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,19 unequal: No Solution
Exploring Operation: 32*13=416, Resulting Numbers: [416]
416,19 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[5, 6, 17, 32], Operations: []
Exploring Operation: 5*6=30, Resulting Numbers: [17, 32, 30]
Generated Node #0,2: 19:[17, 32, 30] Operation: 5*6=30
Moving to Node #0,2
Current State: 19:[17, 32, 30], Operations: ['5*6=30']
Exploring Operation: 30-17=13, Resulting Numbers: [32, 13]
Generated Node #0,2,3: 19:[32, 13] Operation: 30-17=13
Moving to Node #0,2,3
Current State: 19:[32, 13], Operations: ['5*6=30', '30-17=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.947049 | hs_4 | sum_heuristic |
[
3,
72,
10,
38
] | 47 | [
"3+72=75",
"38-10=28",
"75-28=47"
] | Current State: 47:[3, 72, 10, 38], Operations: []
Exploring Operation: 3+72=75, Resulting Numbers: [10, 38, 75]
Generated Node #2: [10, 38, 75] from Operation: 3+72=75
Current State: 47:[10, 38, 75], Operations: ['3+72=75']
Exploring Operation: 38-10=28, Resulting Numbers: [75, 28]
Generated Node #3: [75, 28] from Operation: 38-10=28
Current State: 47:[75, 28], Operations: ['3+72=75', '38-10=28']
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[3, 72, 10, 38], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [72, 38, 30]
Generated Node #0,0: 47:[72, 38, 30] Operation: 3*10=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[72, 38, 30], Operations: ['3*10=30']
Exploring Operation: 72-30=42, Resulting Numbers: [38, 42]
Generated Node #0,0,0: 47:[38, 42] Operation: 72-30=42
Moving to Node #0,0,0
Current State: 47:[38, 42], Operations: ['3*10=30', '72-30=42']
Exploring Operation: 38+42=80, Resulting Numbers: [80]
80,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
97,
79,
42,
38
] | 72 | [
"97-79=18",
"42-38=4",
"18*4=72"
] | Current State: 72:[97, 79, 42, 38], Operations: []
Exploring Operation: 97-79=18, Resulting Numbers: [42, 38, 18]
Generated Node #2: [42, 38, 18] from Operation: 97-79=18
Current State: 72:[42, 38, 18], Operations: ['97-79=18']
Exploring Operation: 42-38=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 42-38=4
Current State: 72:[18, 4], Operations: ['97-79=18', '42-38=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[97, 79, 42, 38], Operations: []
Exploring Operation: 97-79=18, Resulting Numbers: [42, 38, 18]
Generated Node #0,0: 72:[42, 38, 18] Operation: 97-79=18
Exploring Operation: 97-42=55, Resulting Numbers: [79, 38, 55]
Generated Node #0,1: 72:[79, 38, 55] Operation: 97-42=55
Exploring Operation: 79-42=37, Resulting Numbers: [97, 38, 37]
Generated Node #0,2: 72:[97, 38, 37] Operation: 79-42=37
Exploring Operation: 97-38=59, Resulting Numbers: [79, 42, 59]
Generated Node #0,3: 72:[79, 42, 59] Operation: 97-38=59
Exploring Operation: 42-38=4, Resulting Numbers: [97, 79, 4]
Generated Node #0,4: 72:[97, 79, 4] Operation: 42-38=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[42, 38, 18], Operations: ['97-79=18']
Exploring Operation: 42-38=4, Resulting Numbers: [18, 4]
Generated Node #0,0,0: 72:[18, 4] Operation: 42-38=4
Exploring Operation: 42-18=24, Resulting Numbers: [38, 24]
Generated Node #0,0,1: 72:[38, 24] Operation: 42-18=24
Exploring Operation: 42+18=60, Resulting Numbers: [38, 60]
Generated Node #0,0,2: 72:[38, 60] Operation: 42+18=60
Exploring Operation: 42+38=80, Resulting Numbers: [18, 80]
Generated Node #0,0,3: 72:[18, 80] Operation: 42+38=80
Exploring Operation: 38-18=20, Resulting Numbers: [42, 20]
Generated Node #0,0,4: 72:[42, 20] Operation: 38-18=20
Moving to Node #0,0,0
Current State: 72:[18, 4], Operations: ['97-79=18', '42-38=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[97, 79, 42, 38], Operations: []
Exploring Operation: 97-79=18, Resulting Numbers: [42, 38, 18]
Generated Node #0,0: 72:[42, 38, 18] Operation: 97-79=18
Moving to Node #0,0
Current State: 72:[42, 38, 18], Operations: ['97-79=18']
Exploring Operation: 42-38=4, Resulting Numbers: [18, 4]
Generated Node #0,0,0: 72:[18, 4] Operation: 42-38=4
Moving to Node #0,0,0
Current State: 72:[18, 4], Operations: ['97-79=18', '42-38=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
36,
76,
89,
87
] | 20 | [
"76-36=40",
"89-87=2",
"40/2=20"
] | Current State: 20:[36, 76, 89, 87], Operations: []
Exploring Operation: 76-36=40, Resulting Numbers: [89, 87, 40]
Generated Node #2: [89, 87, 40] from Operation: 76-36=40
Current State: 20:[89, 87, 40], Operations: ['76-36=40']
Exploring Operation: 89-87=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 89-87=2
Current State: 20:[40, 2], Operations: ['76-36=40', '89-87=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[36, 76, 89, 87], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [36, 76, 2]
Generated Node #0,0: 20:[36, 76, 2] Operation: 89-87=2
Moving to Node #0,0
Current State: 20:[36, 76, 2], Operations: ['89-87=2']
Exploring Operation: 76-36=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 20:[2, 40] Operation: 76-36=40
Moving to Node #0,0,0
Current State: 20:[2, 40], Operations: ['89-87=2', '76-36=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[36, 76, 89, 87], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [36, 76, 2]
Generated Node #0,0: 20:[36, 76, 2] Operation: 89-87=2
Moving to Node #0,0
Current State: 20:[36, 76, 2], Operations: ['89-87=2']
Exploring Operation: 76-36=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 20:[2, 40] Operation: 76-36=40
Moving to Node #0,0,0
Current State: 20:[2, 40], Operations: ['89-87=2', '76-36=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
2,
59,
49,
65
] | 41 | [
"59-2=57",
"65-49=16",
"57-16=41"
] | Current State: 41:[2, 59, 49, 65], Operations: []
Exploring Operation: 59-2=57, Resulting Numbers: [49, 65, 57]
Generated Node #2: [49, 65, 57] from Operation: 59-2=57
Current State: 41:[49, 65, 57], Operations: ['59-2=57']
Exploring Operation: 65-49=16, Resulting Numbers: [57, 16]
Generated Node #3: [57, 16] from Operation: 65-49=16
Current State: 41:[57, 16], Operations: ['59-2=57', '65-49=16']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[2, 59, 49, 65], Operations: []
Exploring Operation: 49-2=47, Resulting Numbers: [59, 65, 47]
Generated Node #0,0: 41:[59, 65, 47] Operation: 49-2=47
Exploring Operation: 65-2=63, Resulting Numbers: [59, 49, 63]
Generated Node #0,1: 41:[59, 49, 63] Operation: 65-2=63
Exploring Operation: 59-2=57, Resulting Numbers: [49, 65, 57]
Generated Node #0,2: 41:[49, 65, 57] Operation: 59-2=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[59, 65, 47], Operations: ['49-2=47']
Exploring Operation: 65-59=6, Resulting Numbers: [47, 6]
Generated Node #0,0,0: 41:[47, 6] Operation: 65-59=6
Exploring Operation: 65-47=18, Resulting Numbers: [59, 18]
Generated Node #0,0,1: 41:[59, 18] Operation: 65-47=18
Exploring Operation: 59-47=12, Resulting Numbers: [65, 12]
Generated Node #0,0,2: 41:[65, 12] Operation: 59-47=12
Moving to Node #0,0,0
Current State: 41:[47, 6], Operations: ['49-2=47', '65-59=6']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[2, 59, 49, 65], Operations: []
Exploring Operation: 49-2=47, Resulting Numbers: [59, 65, 47]
Generated Node #0,0: 41:[59, 65, 47] Operation: 49-2=47
Moving to Node #0,0
Current State: 41:[59, 65, 47], Operations: ['49-2=47']
Exploring Operation: 65-59=6, Resulting Numbers: [47, 6]
Generated Node #0,0,0: 41:[47, 6] Operation: 65-59=6
Moving to Node #0,0,0
Current State: 41:[47, 6], Operations: ['49-2=47', '65-59=6']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
14,
78,
53,
55
] | 66 | [
"78-14=64",
"55-53=2",
"64+2=66"
] | Current State: 66:[14, 78, 53, 55], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [53, 55, 64]
Generated Node #2: [53, 55, 64] from Operation: 78-14=64
Current State: 66:[53, 55, 64], Operations: ['78-14=64']
Exploring Operation: 55-53=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 55-53=2
Current State: 66:[64, 2], Operations: ['78-14=64', '55-53=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[14, 78, 53, 55], Operations: []
Exploring Operation: 78-55=23, Resulting Numbers: [14, 53, 23]
Generated Node #0,0: 66:[14, 53, 23] Operation: 78-55=23
Exploring Operation: 55-53=2, Resulting Numbers: [14, 78, 2]
Generated Node #0,1: 66:[14, 78, 2] Operation: 55-53=2
Exploring Operation: 78-53=25, Resulting Numbers: [14, 55, 25]
Generated Node #0,2: 66:[14, 55, 25] Operation: 78-53=25
Moving to Node #0,1
Current State: 66:[14, 78, 2], Operations: ['55-53=2']
Exploring Operation: 78-14=64, Resulting Numbers: [2, 64]
Generated Node #0,1,0: 66:[2, 64] Operation: 78-14=64
Exploring Operation: 14-2=12, Resulting Numbers: [78, 12]
Generated Node #0,1,1: 66:[78, 12] Operation: 14-2=12
Exploring Operation: 78/2=39, Resulting Numbers: [14, 39]
Generated Node #0,1,2: 66:[14, 39] Operation: 78/2=39
Moving to Node #0,0
Current State: 66:[14, 53, 23], Operations: ['78-55=23']
Exploring Operation: 53-14=39, Resulting Numbers: [23, 39]
Generated Node #0,0,0: 66:[23, 39] Operation: 53-14=39
Exploring Operation: 14+53=67, Resulting Numbers: [23, 67]
Generated Node #0,0,1: 66:[23, 67] Operation: 14+53=67
Exploring Operation: 53-23=30, Resulting Numbers: [14, 30]
Generated Node #0,0,2: 66:[14, 30] Operation: 53-23=30
Moving to Node #0,2
Current State: 66:[14, 55, 25], Operations: ['78-53=25']
Exploring Operation: 55-14=41, Resulting Numbers: [25, 41]
Generated Node #0,2,0: 66:[25, 41] Operation: 55-14=41
Exploring Operation: 55-25=30, Resulting Numbers: [14, 30]
Generated Node #0,2,1: 66:[14, 30] Operation: 55-25=30
Exploring Operation: 14+55=69, Resulting Numbers: [25, 69]
Generated Node #0,2,2: 66:[25, 69] Operation: 14+55=69
Moving to Node #0,1,0
Current State: 66:[2, 64], Operations: ['55-53=2', '78-14=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[14, 78, 53, 55], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [14, 78, 2]
Generated Node #0,1: 66:[14, 78, 2] Operation: 55-53=2
Moving to Node #0,1
Current State: 66:[14, 78, 2], Operations: ['55-53=2']
Exploring Operation: 78-14=64, Resulting Numbers: [2, 64]
Generated Node #0,1,0: 66:[2, 64] Operation: 78-14=64
Moving to Node #0,1,0
Current State: 66:[2, 64], Operations: ['55-53=2', '78-14=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.985243 | hs_3 | mult_heuristic |
[
31,
61,
48,
49
] | 31 | [
"61-31=30",
"49-48=1",
"30+1=31"
] | Current State: 31:[31, 61, 48, 49], Operations: []
Exploring Operation: 61-31=30, Resulting Numbers: [48, 49, 30]
Generated Node #2: [48, 49, 30] from Operation: 61-31=30
Current State: 31:[48, 49, 30], Operations: ['61-31=30']
Exploring Operation: 49-48=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 49-48=1
Current State: 31:[30, 1], Operations: ['61-31=30', '49-48=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[31, 61, 48, 49], Operations: []
Exploring Operation: 49-31=18, Resulting Numbers: [61, 48, 18]
Generated Node #0,0: 31:[61, 48, 18] Operation: 49-31=18
Exploring Operation: 49-48=1, Resulting Numbers: [31, 61, 1]
Generated Node #0,1: 31:[31, 61, 1] Operation: 49-48=1
Exploring Operation: 61-48=13, Resulting Numbers: [31, 49, 13]
Generated Node #0,2: 31:[31, 49, 13] Operation: 61-48=13
Exploring Operation: 61-49=12, Resulting Numbers: [31, 48, 12]
Generated Node #0,3: 31:[31, 48, 12] Operation: 61-49=12
Exploring Operation: 61-31=30, Resulting Numbers: [48, 49, 30]
Generated Node #0,4: 31:[48, 49, 30] Operation: 61-31=30
Moving to Node #0,2
Current State: 31:[31, 49, 13], Operations: ['61-48=13']
Exploring Operation: 31+13=44, Resulting Numbers: [49, 44]
Generated Node #0,2,0: 31:[49, 44] Operation: 31+13=44
Exploring Operation: 31-13=18, Resulting Numbers: [49, 18]
Generated Node #0,2,1: 31:[49, 18] Operation: 31-13=18
Exploring Operation: 49+13=62, Resulting Numbers: [31, 62]
Generated Node #0,2,2: 31:[31, 62] Operation: 49+13=62
Exploring Operation: 49-13=36, Resulting Numbers: [31, 36]
Generated Node #0,2,3: 31:[31, 36] Operation: 49-13=36
Exploring Operation: 49-31=18, Resulting Numbers: [13, 18]
Generated Node #0,2,4: 31:[13, 18] Operation: 49-31=18
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 31:[31, 36], Operations: ['61-48=13', '49-13=36']
Exploring Operation: 31*36=1116, Resulting Numbers: [1116]
1116,31 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,31 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:[49, 44], Operations: ['61-48=13', '31+13=44']
Exploring Operation: 49+44=93, Resulting Numbers: [93]
93,31 unequal: No Solution
Exploring Operation: 49-44=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 49*44=2156, Resulting Numbers: [2156]
2156,31 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:[49, 18], Operations: ['61-48=13', '31-13=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,31 unequal: No Solution
Exploring Operation: 49*18=882, Resulting Numbers: [882]
882,31 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[31, 61, 48, 49], Operations: []
Exploring Operation: 61-48=13, Resulting Numbers: [31, 49, 13]
Generated Node #0,2: 31:[31, 49, 13] Operation: 61-48=13
Moving to Node #0,2
Current State: 31:[31, 49, 13], Operations: ['61-48=13']
Exploring Operation: 31-13=18, Resulting Numbers: [49, 18]
Generated Node #0,2,1: 31:[49, 18] Operation: 31-13=18
Moving to Node #0,2,1
Current State: 31:[49, 18], Operations: ['61-48=13', '31-13=18']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
38,
29,
44,
31
] | 53 | [
"38*44=1672",
"1672-29=1643",
"1643/31=53"
] | Current State: 53:[38, 29, 44, 31], Operations: []
Exploring Operation: 38*44=1672, Resulting Numbers: [29, 31, 1672]
Generated Node #2: [29, 31, 1672] from Operation: 38*44=1672
Current State: 53:[29, 31, 1672], Operations: ['38*44=1672']
Exploring Operation: 1672-29=1643, Resulting Numbers: [31, 1643]
Generated Node #3: [31, 1643] from Operation: 1672-29=1643
Current State: 53:[31, 1643], Operations: ['38*44=1672', '1672-29=1643']
Exploring Operation: 1643/31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[38, 29, 44, 31], Operations: []
Exploring Operation: 29+31=60, Resulting Numbers: [38, 44, 60]
Generated Node #0,0: 53:[38, 44, 60] Operation: 29+31=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[38, 44, 60], Operations: ['29+31=60']
Exploring Operation: 38+44=82, Resulting Numbers: [60, 82]
Generated Node #0,0,0: 53:[60, 82] Operation: 38+44=82
Moving to Node #0,0,0
Current State: 53:[60, 82], Operations: ['29+31=60', '38+44=82']
Exploring Operation: 82-60=22, Resulting Numbers: [22]
22,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
11,
2,
36,
3
] | 52 | [
"11+2=13",
"36+3=39",
"13+39=52"
] | Current State: 52:[11, 2, 36, 3], Operations: []
Exploring Operation: 11+2=13, Resulting Numbers: [36, 3, 13]
Generated Node #2: [36, 3, 13] from Operation: 11+2=13
Current State: 52:[36, 3, 13], Operations: ['11+2=13']
Exploring Operation: 36+3=39, Resulting Numbers: [13, 39]
Generated Node #3: [13, 39] from Operation: 36+3=39
Current State: 52:[13, 39], Operations: ['11+2=13', '36+3=39']
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[11, 2, 36, 3], Operations: []
Exploring Operation: 36-11=25, Resulting Numbers: [2, 3, 25]
Generated Node #0,0: 52:[2, 3, 25] Operation: 36-11=25
Exploring Operation: 36-3=33, Resulting Numbers: [11, 2, 33]
Generated Node #0,1: 52:[11, 2, 33] Operation: 36-3=33
Exploring Operation: 36/3=12, Resulting Numbers: [11, 2, 12]
Generated Node #0,2: 52:[11, 2, 12] Operation: 36/3=12
Exploring Operation: 36/2=18, Resulting Numbers: [11, 3, 18]
Generated Node #0,3: 52:[11, 3, 18] Operation: 36/2=18
Exploring Operation: 11+36=47, Resulting Numbers: [2, 3, 47]
Generated Node #0,4: 52:[2, 3, 47] Operation: 11+36=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[2, 3, 25], Operations: ['36-11=25']
Exploring Operation: 2*3=6, Resulting Numbers: [25, 6]
Generated Node #0,0,0: 52:[25, 6] Operation: 2*3=6
Exploring Operation: 2+25=27, Resulting Numbers: [3, 27]
Generated Node #0,0,1: 52:[3, 27] Operation: 2+25=27
Exploring Operation: 2+3=5, Resulting Numbers: [25, 5]
Generated Node #0,0,2: 52:[25, 5] Operation: 2+3=5
Exploring Operation: 3-2=1, Resulting Numbers: [25, 1]
Generated Node #0,0,3: 52:[25, 1] Operation: 3-2=1
Exploring Operation: 3+25=28, Resulting Numbers: [2, 28]
Generated Node #0,0,4: 52:[2, 28] Operation: 3+25=28
Moving to Node #0,0,1
Current State: 52:[3, 27], Operations: ['36-11=25', '2+25=27']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[25, 1], Operations: ['36-11=25', '3-2=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[25, 5], Operations: ['36-11=25', '2+3=5']
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,52 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Moving to Node #0,0,4
Current State: 52:[2, 28], Operations: ['36-11=25', '3+25=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[25, 6], Operations: ['36-11=25', '2*3=6']
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,52 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,52 unequal: No Solution
No 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: 52:[11, 2, 12], Operations: ['36/3=12']
Exploring Operation: 11+2=13, Resulting Numbers: [12, 13]
Generated Node #0,2,0: 52:[12, 13] Operation: 11+2=13
Exploring Operation: 12-11=1, Resulting Numbers: [2, 1]
Generated Node #0,2,1: 52:[2, 1] Operation: 12-11=1
Exploring Operation: 2+12=14, Resulting Numbers: [11, 14]
Generated Node #0,2,2: 52:[11, 14] Operation: 2+12=14
Exploring Operation: 11+12=23, Resulting Numbers: [2, 23]
Generated Node #0,2,3: 52:[2, 23] Operation: 11+12=23
Exploring Operation: 2*12=24, Resulting Numbers: [11, 24]
Generated Node #0,2,4: 52:[11, 24] Operation: 2*12=24
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[12, 13], Operations: ['36/3=12', '11+2=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,52 unequal: No Solution
No 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: 52:[2, 1], Operations: ['36/3=12', '12-11=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
No 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: 52:[11, 14], Operations: ['36/3=12', '2+12=14']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,52 unequal: No Solution
No 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: 52:[2, 23], Operations: ['36/3=12', '11+12=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 52:[11, 24], Operations: ['36/3=12', '2*12=24']
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,52 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 52:[2, 3, 47], Operations: ['11+36=47']
Exploring Operation: 3+47=50, Resulting Numbers: [2, 50]
Generated Node #0,4,0: 52:[2, 50] Operation: 3+47=50
Exploring Operation: 2+47=49, Resulting Numbers: [3, 49]
Generated Node #0,4,1: 52:[3, 49] Operation: 2+47=49
Exploring Operation: 3-2=1, Resulting Numbers: [47, 1]
Generated Node #0,4,2: 52:[47, 1] Operation: 3-2=1
Exploring Operation: 2+3=5, Resulting Numbers: [47, 5]
Generated Node #0,4,3: 52:[47, 5] Operation: 2+3=5
Exploring Operation: 2*3=6, Resulting Numbers: [47, 6]
Generated Node #0,4,4: 52:[47, 6] Operation: 2*3=6
Moving to Node #0,4,0
Current State: 52:[2, 50], Operations: ['11+36=47', '3+47=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,52 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[11, 2, 36, 3], Operations: []
Exploring Operation: 11+36=47, Resulting Numbers: [2, 3, 47]
Generated Node #0,4: 52:[2, 3, 47] Operation: 11+36=47
Moving to Node #0,4
Current State: 52:[2, 3, 47], Operations: ['11+36=47']
Exploring Operation: 3+47=50, Resulting Numbers: [2, 50]
Generated Node #0,4,0: 52:[2, 50] Operation: 3+47=50
Moving to Node #0,4,0
Current State: 52:[2, 50], Operations: ['11+36=47', '3+47=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.946181 | hs_5 | sum_heuristic |
[
1,
48,
7,
71
] | 65 | [
"1+7=8",
"48/8=6",
"71-6=65"
] | Current State: 65:[1, 48, 7, 71], Operations: []
Exploring Operation: 1+7=8, Resulting Numbers: [48, 71, 8]
Generated Node #2: [48, 71, 8] from Operation: 1+7=8
Current State: 65:[48, 71, 8], Operations: ['1+7=8']
Exploring Operation: 48/8=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 48/8=6
Current State: 65:[71, 6], Operations: ['1+7=8', '48/8=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[1, 48, 7, 71], Operations: []
Exploring Operation: 48+7=55, Resulting Numbers: [1, 71, 55]
Generated Node #0,0: 65:[1, 71, 55] Operation: 48+7=55
Exploring Operation: 71-48=23, Resulting Numbers: [1, 7, 23]
Generated Node #0,1: 65:[1, 7, 23] Operation: 71-48=23
Exploring Operation: 71-7=64, Resulting Numbers: [1, 48, 64]
Generated Node #0,2: 65:[1, 48, 64] Operation: 71-7=64
Moving to Node #0,1
Current State: 65:[1, 7, 23], Operations: ['71-48=23']
Exploring Operation: 7-1=6, Resulting Numbers: [23, 6]
Generated Node #0,1,0: 65:[23, 6] Operation: 7-1=6
Exploring Operation: 23-1=22, Resulting Numbers: [7, 22]
Generated Node #0,1,1: 65:[7, 22] Operation: 23-1=22
Exploring Operation: 23-7=16, Resulting Numbers: [1, 16]
Generated Node #0,1,2: 65:[1, 16] Operation: 23-7=16
Moving to Node #0,0
Current State: 65:[1, 71, 55], Operations: ['48+7=55']
Exploring Operation: 1+55=56, Resulting Numbers: [71, 56]
Generated Node #0,0,0: 65:[71, 56] Operation: 1+55=56
Exploring Operation: 71-55=16, Resulting Numbers: [1, 16]
Generated Node #0,0,1: 65:[1, 16] Operation: 71-55=16
Exploring Operation: 71-1=70, Resulting Numbers: [55, 70]
Generated Node #0,0,2: 65:[55, 70] Operation: 71-1=70
Moving to Node #0,2
Current State: 65:[1, 48, 64], Operations: ['71-7=64']
Exploring Operation: 64-48=16, Resulting Numbers: [1, 16]
Generated Node #0,2,0: 65:[1, 16] Operation: 64-48=16
Exploring Operation: 1+64=65, Resulting Numbers: [48, 65]
Generated Node #0,2,1: 65:[48, 65] Operation: 1+64=65
Exploring Operation: 1+48=49, Resulting Numbers: [64, 49]
Generated Node #0,2,2: 65:[64, 49] Operation: 1+48=49
Moving to Node #0,1,2
Current State: 65:[1, 16], Operations: ['71-48=23', '23-7=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[1, 16], Operations: ['71-7=64', '64-48=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[1, 16], Operations: ['48+7=55', '71-55=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[7, 22], Operations: ['71-48=23', '23-1=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[23, 6], Operations: ['71-48=23', '7-1=6']
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,65 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[55, 70], Operations: ['48+7=55', '71-1=70']
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 55*70=3850, Resulting Numbers: [3850]
3850,65 unequal: No Solution
Exploring Operation: 55+70=125, Resulting Numbers: [125]
125,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[71, 56], Operations: ['48+7=55', '1+55=56']
Exploring Operation: 71+56=127, Resulting Numbers: [127]
127,65 unequal: No Solution
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 71*56=3976, Resulting Numbers: [3976]
3976,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[48, 65], Operations: ['71-7=64', '1+64=65']
Exploring Operation: 48*65=3120, Resulting Numbers: [3120]
3120,65 unequal: No Solution
Exploring Operation: 48+65=113, Resulting Numbers: [113]
113,65 unequal: No Solution
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[64, 49], Operations: ['71-7=64', '1+48=49']
Exploring Operation: 64*49=3136, Resulting Numbers: [3136]
3136,65 unequal: No Solution
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 64+49=113, Resulting Numbers: [113]
113,65 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
4,
70,
23,
26
] | 47 | [
"70+26=96",
"96/4=24",
"23+24=47"
] | Current State: 47:[4, 70, 23, 26], Operations: []
Exploring Operation: 70+26=96, Resulting Numbers: [4, 23, 96]
Generated Node #2: [4, 23, 96] from Operation: 70+26=96
Current State: 47:[4, 23, 96], Operations: ['70+26=96']
Exploring Operation: 96/4=24, Resulting Numbers: [23, 24]
Generated Node #3: [23, 24] from Operation: 96/4=24
Current State: 47:[23, 24], Operations: ['70+26=96', '96/4=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[4, 70, 23, 26], Operations: []
Exploring Operation: 70-4=66, Resulting Numbers: [23, 26, 66]
Generated Node #0,0: 47:[23, 26, 66] Operation: 70-4=66
Exploring Operation: 4+23=27, Resulting Numbers: [70, 26, 27]
Generated Node #0,1: 47:[70, 26, 27] Operation: 4+23=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[23, 26, 66], Operations: ['70-4=66']
Exploring Operation: 23+26=49, Resulting Numbers: [66, 49]
Generated Node #0,0,0: 47:[66, 49] Operation: 23+26=49
Exploring Operation: 66-23=43, Resulting Numbers: [26, 43]
Generated Node #0,0,1: 47:[26, 43] Operation: 66-23=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[66, 49], Operations: ['70-4=66', '23+26=49']
Exploring Operation: 66+49=115, Resulting Numbers: [115]
115,47 unequal: No Solution
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[26, 43], Operations: ['70-4=66', '66-23=43']
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[70, 26, 27], Operations: ['4+23=27']
Exploring Operation: 70-26=44, Resulting Numbers: [27, 44]
Generated Node #0,1,0: 47:[27, 44] Operation: 70-26=44
Exploring Operation: 70-27=43, Resulting Numbers: [26, 43]
Generated Node #0,1,1: 47:[26, 43] Operation: 70-27=43
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[27, 44], Operations: ['4+23=27', '70-26=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[26, 43], Operations: ['4+23=27', '70-27=43']
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,47 unequal: No Solution
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
65,
28,
89,
79
] | 75 | [
"65+28=93",
"89+79=168",
"168-93=75"
] | Current State: 75:[65, 28, 89, 79], Operations: []
Exploring Operation: 65+28=93, Resulting Numbers: [89, 79, 93]
Generated Node #2: [89, 79, 93] from Operation: 65+28=93
Current State: 75:[89, 79, 93], Operations: ['65+28=93']
Exploring Operation: 89+79=168, Resulting Numbers: [93, 168]
Generated Node #3: [93, 168] from Operation: 89+79=168
Current State: 75:[93, 168], Operations: ['65+28=93', '89+79=168']
Exploring Operation: 168-93=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[65, 28, 89, 79], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [28, 89, 14]
Generated Node #0,0: 75:[28, 89, 14] Operation: 79-65=14
Exploring Operation: 89-65=24, Resulting Numbers: [28, 79, 24]
Generated Node #0,1: 75:[28, 79, 24] Operation: 89-65=24
Moving to Node #0,1
Current State: 75:[28, 79, 24], Operations: ['89-65=24']
Exploring Operation: 28-24=4, Resulting Numbers: [79, 4]
Generated Node #0,1,0: 75:[79, 4] Operation: 28-24=4
Exploring Operation: 79-24=55, Resulting Numbers: [28, 55]
Generated Node #0,1,1: 75:[28, 55] Operation: 79-24=55
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[79, 4], Operations: ['89-65=24', '28-24=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[65, 28, 89, 79], Operations: []
Exploring Operation: 89-65=24, Resulting Numbers: [28, 79, 24]
Generated Node #0,1: 75:[28, 79, 24] Operation: 89-65=24
Moving to Node #0,1
Current State: 75:[28, 79, 24], Operations: ['89-65=24']
Exploring Operation: 28-24=4, Resulting Numbers: [79, 4]
Generated Node #0,1,0: 75:[79, 4] Operation: 28-24=4
Moving to Node #0,1,0
Current State: 75:[79, 4], Operations: ['89-65=24', '28-24=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
27,
9,
42,
28
] | 54 | [
"27+9=36",
"42*36=1512",
"1512/28=54"
] | Current State: 54:[27, 9, 42, 28], Operations: []
Exploring Operation: 27+9=36, Resulting Numbers: [42, 28, 36]
Generated Node #2: [42, 28, 36] from Operation: 27+9=36
Current State: 54:[42, 28, 36], Operations: ['27+9=36']
Exploring Operation: 42*36=1512, Resulting Numbers: [28, 1512]
Generated Node #3: [28, 1512] from Operation: 42*36=1512
Current State: 54:[28, 1512], Operations: ['27+9=36', '42*36=1512']
Exploring Operation: 1512/28=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[27, 9, 42, 28], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [9, 28, 15]
Generated Node #0,0: 54:[9, 28, 15] Operation: 42-27=15
Moving to Node #0,0
Current State: 54:[9, 28, 15], Operations: ['42-27=15']
Exploring Operation: 15-9=6, Resulting Numbers: [28, 6]
Generated Node #0,0,0: 54:[28, 6] Operation: 15-9=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[28, 6], Operations: ['42-27=15', '15-9=6']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
25,
22,
20,
26
] | 18 | [
"25-22=3",
"26-20=6",
"3*6=18"
] | Current State: 18:[25, 22, 20, 26], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [20, 26, 3]
Generated Node #2: [20, 26, 3] from Operation: 25-22=3
Current State: 18:[20, 26, 3], Operations: ['25-22=3']
Exploring Operation: 26-20=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 26-20=6
Current State: 18:[3, 6], Operations: ['25-22=3', '26-20=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[25, 22, 20, 26], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [20, 26, 3]
Generated Node #0,0: 18:[20, 26, 3] Operation: 25-22=3
Exploring Operation: 26-25=1, Resulting Numbers: [22, 20, 1]
Generated Node #0,1: 18:[22, 20, 1] Operation: 26-25=1
Exploring Operation: 26-20=6, Resulting Numbers: [25, 22, 6]
Generated Node #0,2: 18:[25, 22, 6] Operation: 26-20=6
Exploring Operation: 26-22=4, Resulting Numbers: [25, 20, 4]
Generated Node #0,3: 18:[25, 20, 4] Operation: 26-22=4
Exploring Operation: 25-20=5, Resulting Numbers: [22, 26, 5]
Generated Node #0,4: 18:[22, 26, 5] Operation: 25-20=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[22, 20, 1], Operations: ['26-25=1']
Exploring Operation: 22/1=22, Resulting Numbers: [20, 22]
Generated Node #0,1,0: 18:[20, 22] Operation: 22/1=22
Exploring Operation: 22*1=22, Resulting Numbers: [20, 22]
Generated Node #0,1,1: 18:[20, 22] Operation: 22*1=22
Exploring Operation: 20-1=19, Resulting Numbers: [22, 19]
Generated Node #0,1,2: 18:[22, 19] Operation: 20-1=19
Exploring Operation: 22-1=21, Resulting Numbers: [20, 21]
Generated Node #0,1,3: 18:[20, 21] Operation: 22-1=21
Exploring Operation: 22-20=2, Resulting Numbers: [1, 2]
Generated Node #0,1,4: 18:[1, 2] Operation: 22-20=2
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 18:[1, 2], Operations: ['26-25=1', '22-20=2']
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 18:[22, 19], Operations: ['26-25=1', '20-1=19']
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 22*19=418, Resulting Numbers: [418]
418,18 unequal: No Solution
Exploring Operation: 22+19=41, Resulting Numbers: [41]
41,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 18:[20, 21], Operations: ['26-25=1', '22-1=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 18:[20, 22], Operations: ['26-25=1', '22/1=22']
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,18 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 18:[20, 22], Operations: ['26-25=1', '22*1=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,18 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[20, 26, 3], Operations: ['25-22=3']
Exploring Operation: 20+3=23, Resulting Numbers: [26, 23]
Generated Node #0,0,0: 18:[26, 23] Operation: 20+3=23
Exploring Operation: 20-3=17, Resulting Numbers: [26, 17]
Generated Node #0,0,1: 18:[26, 17] Operation: 20-3=17
Exploring Operation: 26-3=23, Resulting Numbers: [20, 23]
Generated Node #0,0,2: 18:[20, 23] Operation: 26-3=23
Exploring Operation: 26+3=29, Resulting Numbers: [20, 29]
Generated Node #0,0,3: 18:[20, 29] Operation: 26+3=29
Exploring Operation: 26-20=6, Resulting Numbers: [3, 6]
Generated Node #0,0,4: 18:[3, 6] Operation: 26-20=6
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 18:[3, 6], Operations: ['25-22=3', '26-20=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[25, 22, 20, 26], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [20, 26, 3]
Generated Node #0,0: 18:[20, 26, 3] Operation: 25-22=3
Moving to Node #0,0
Current State: 18:[20, 26, 3], Operations: ['25-22=3']
Exploring Operation: 26-20=6, Resulting Numbers: [3, 6]
Generated Node #0,0,4: 18:[3, 6] Operation: 26-20=6
Moving to Node #0,0,4
Current State: 18:[3, 6], Operations: ['25-22=3', '26-20=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146 | hs_5 | mult_heuristic |
[
76,
14,
80,
16
] | 96 | [
"76*16=1216",
"14*80=1120",
"1216-1120=96"
] | Current State: 96:[76, 14, 80, 16], Operations: []
Exploring Operation: 76*16=1216, Resulting Numbers: [14, 80, 1216]
Generated Node #2: [14, 80, 1216] from Operation: 76*16=1216
Current State: 96:[14, 80, 1216], Operations: ['76*16=1216']
Exploring Operation: 14*80=1120, Resulting Numbers: [1216, 1120]
Generated Node #3: [1216, 1120] from Operation: 14*80=1120
Current State: 96:[1216, 1120], Operations: ['76*16=1216', '14*80=1120']
Exploring Operation: 1216-1120=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[76, 14, 80, 16], Operations: []
Exploring Operation: 14+80=94, Resulting Numbers: [76, 16, 94]
Generated Node #0,0: 96:[76, 16, 94] Operation: 14+80=94
Exploring Operation: 76+14=90, Resulting Numbers: [80, 16, 90]
Generated Node #0,1: 96:[80, 16, 90] Operation: 76+14=90
Exploring Operation: 80-76=4, Resulting Numbers: [14, 16, 4]
Generated Node #0,2: 96:[14, 16, 4] Operation: 80-76=4
Exploring Operation: 76+16=92, Resulting Numbers: [14, 80, 92]
Generated Node #0,3: 96:[14, 80, 92] Operation: 76+16=92
Moving to Node #0,2
Current State: 96:[14, 16, 4], Operations: ['80-76=4']
Exploring Operation: 14+4=18, Resulting Numbers: [16, 18]
Generated Node #0,2,0: 96:[16, 18] Operation: 14+4=18
Exploring Operation: 14-4=10, Resulting Numbers: [16, 10]
Generated Node #0,2,1: 96:[16, 10] Operation: 14-4=10
Exploring Operation: 16-14=2, Resulting Numbers: [4, 2]
Generated Node #0,2,2: 96:[4, 2] Operation: 16-14=2
Exploring Operation: 14+16=30, Resulting Numbers: [4, 30]
Generated Node #0,2,3: 96:[4, 30] Operation: 14+16=30
Moving to Node #0,1
Current State: 96:[80, 16, 90], Operations: ['76+14=90']
Exploring Operation: 80-16=64, Resulting Numbers: [90, 64]
Generated Node #0,1,0: 96:[90, 64] Operation: 80-16=64
Exploring Operation: 90-80=10, Resulting Numbers: [16, 10]
Generated Node #0,1,1: 96:[16, 10] Operation: 90-80=10
Exploring Operation: 80+16=96, Resulting Numbers: [90, 96]
Generated Node #0,1,2: 96:[90, 96] Operation: 80+16=96
Exploring Operation: 80/16=5, Resulting Numbers: [90, 5]
Generated Node #0,1,3: 96:[90, 5] Operation: 80/16=5
Moving to Node #0,0
Current State: 96:[76, 16, 94], Operations: ['14+80=94']
Exploring Operation: 76+16=92, Resulting Numbers: [94, 92]
Generated Node #0,0,0: 96:[94, 92] Operation: 76+16=92
Exploring Operation: 16+94=110, Resulting Numbers: [76, 110]
Generated Node #0,0,1: 96:[76, 110] Operation: 16+94=110
Exploring Operation: 94-76=18, Resulting Numbers: [16, 18]
Generated Node #0,0,2: 96:[16, 18] Operation: 94-76=18
Exploring Operation: 76-16=60, Resulting Numbers: [94, 60]
Generated Node #0,0,3: 96:[94, 60] Operation: 76-16=60
Moving to Node #0,3
Current State: 96:[14, 80, 92], Operations: ['76+16=92']
Exploring Operation: 14+80=94, Resulting Numbers: [92, 94]
Generated Node #0,3,0: 96:[92, 94] Operation: 14+80=94
Exploring Operation: 80-14=66, Resulting Numbers: [92, 66]
Generated Node #0,3,1: 96:[92, 66] Operation: 80-14=66
Exploring Operation: 92-80=12, Resulting Numbers: [14, 12]
Generated Node #0,3,2: 96:[14, 12] Operation: 92-80=12
Exploring Operation: 14+92=106, Resulting Numbers: [80, 106]
Generated Node #0,3,3: 96:[80, 106] Operation: 14+92=106
Moving to Node #0,2,2
Current State: 96:[4, 2], Operations: ['80-76=4', '16-14=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[16, 10], Operations: ['80-76=4', '14-4=10']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,96 unequal: No Solution
Moving to Node #0,3,2
Current State: 96:[14, 12], Operations: ['76+16=92', '92-80=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,96 unequal: No Solution
Moving to Node #0,2,0
Current State: 96:[16, 18], Operations: ['80-76=4', '14+4=18']
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 16*18=288, Resulting Numbers: [288]
288,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[16, 10], Operations: ['76+14=90', '90-80=10']
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,96 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Moving to Node #0,2,3
Current State: 96:[4, 30], Operations: ['80-76=4', '14+16=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,96 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[16, 18], Operations: ['14+80=94', '94-76=18']
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 16*18=288, Resulting Numbers: [288]
288,96 unequal: No Solution
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Moving to Node #0,3,0
Current State: 96:[92, 94], Operations: ['76+16=92', '14+80=94']
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 92+94=186, Resulting Numbers: [186]
186,96 unequal: No Solution
Exploring Operation: 92*94=8648, Resulting Numbers: [8648]
8648,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[90, 96], Operations: ['76+14=90', '80+16=96']
Exploring Operation: 90+96=186, Resulting Numbers: [186]
186,96 unequal: No Solution
Exploring Operation: 96-90=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 90*96=8640, Resulting Numbers: [8640]
8640,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[94, 92], Operations: ['14+80=94', '76+16=92']
Exploring Operation: 94*92=8648, Resulting Numbers: [8648]
8648,96 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 94+92=186, Resulting Numbers: [186]
186,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[90, 5], Operations: ['76+14=90', '80/16=5']
Exploring Operation: 90+5=95, Resulting Numbers: [95]
95,96 unequal: No Solution
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,96 unequal: No Solution
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,96 unequal: No Solution
Exploring Operation: 90*5=450, Resulting Numbers: [450]
450,96 unequal: No Solution
Moving to Node #0,0,3
Current State: 96:[94, 60], Operations: ['14+80=94', '76-16=60']
Exploring Operation: 94-60=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 94*60=5640, Resulting Numbers: [5640]
5640,96 unequal: No Solution
Exploring Operation: 94+60=154, Resulting Numbers: [154]
154,96 unequal: No Solution
Moving to Node #0,3,1
Current State: 96:[92, 66], Operations: ['76+16=92', '80-14=66']
Exploring Operation: 92+66=158, Resulting Numbers: [158]
158,96 unequal: No Solution
Exploring Operation: 92*66=6072, Resulting Numbers: [6072]
6072,96 unequal: No Solution
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[90, 64], Operations: ['76+14=90', '80-16=64']
Exploring Operation: 90+64=154, Resulting Numbers: [154]
154,96 unequal: No Solution
Exploring Operation: 90*64=5760, Resulting Numbers: [5760]
5760,96 unequal: No Solution
Exploring Operation: 90-64=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Moving to Node #0,3,3
Current State: 96:[80, 106], Operations: ['76+16=92', '14+92=106']
Exploring Operation: 106-80=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 80*106=8480, Resulting Numbers: [8480]
8480,96 unequal: No Solution
Exploring Operation: 80+106=186, Resulting Numbers: [186]
186,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[76, 110], Operations: ['14+80=94', '16+94=110']
Exploring Operation: 76+110=186, Resulting Numbers: [186]
186,96 unequal: No Solution
Exploring Operation: 76*110=8360, Resulting Numbers: [8360]
8360,96 unequal: No Solution
Exploring Operation: 110-76=34, Resulting Numbers: [34]
34,96 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
97,
53,
45,
13
] | 49 | [
"97-45=52",
"52/13=4",
"53-4=49"
] | Current State: 49:[97, 53, 45, 13], Operations: []
Exploring Operation: 97-45=52, Resulting Numbers: [53, 13, 52]
Generated Node #2: [53, 13, 52] from Operation: 97-45=52
Current State: 49:[53, 13, 52], Operations: ['97-45=52']
Exploring Operation: 52/13=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 52/13=4
Current State: 49:[53, 4], Operations: ['97-45=52', '52/13=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[97, 53, 45, 13], Operations: []
Exploring Operation: 97-53=44, Resulting Numbers: [45, 13, 44]
Generated Node #0,0: 49:[45, 13, 44] Operation: 97-53=44
Exploring Operation: 97-45=52, Resulting Numbers: [53, 13, 52]
Generated Node #0,1: 49:[53, 13, 52] Operation: 97-45=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[53, 13, 52], Operations: ['97-45=52']
Exploring Operation: 52/13=4, Resulting Numbers: [53, 4]
Generated Node #0,1,0: 49:[53, 4] Operation: 52/13=4
Exploring Operation: 53-13=40, Resulting Numbers: [52, 40]
Generated Node #0,1,1: 49:[52, 40] Operation: 53-13=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[53, 4], Operations: ['97-45=52', '52/13=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[97, 53, 45, 13], Operations: []
Exploring Operation: 97-45=52, Resulting Numbers: [53, 13, 52]
Generated Node #0,1: 49:[53, 13, 52] Operation: 97-45=52
Moving to Node #0,1
Current State: 49:[53, 13, 52], Operations: ['97-45=52']
Exploring Operation: 52/13=4, Resulting Numbers: [53, 4]
Generated Node #0,1,0: 49:[53, 4] Operation: 52/13=4
Moving to Node #0,1,0
Current State: 49:[53, 4], Operations: ['97-45=52', '52/13=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
1,
96,
87,
8
] | 63 | [
"8-1=7",
"96-87=9",
"7*9=63"
] | Current State: 63:[1, 96, 87, 8], Operations: []
Exploring Operation: 8-1=7, Resulting Numbers: [96, 87, 7]
Generated Node #2: [96, 87, 7] from Operation: 8-1=7
Current State: 63:[96, 87, 7], Operations: ['8-1=7']
Exploring Operation: 96-87=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 96-87=9
Current State: 63:[7, 9], Operations: ['8-1=7', '96-87=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[1, 96, 87, 8], Operations: []
Exploring Operation: 87-8=79, Resulting Numbers: [1, 96, 79]
Generated Node #0,0: 63:[1, 96, 79] Operation: 87-8=79
Exploring Operation: 96-87=9, Resulting Numbers: [1, 8, 9]
Generated Node #0,1: 63:[1, 8, 9] Operation: 96-87=9
Exploring Operation: 96/8=12, Resulting Numbers: [1, 87, 12]
Generated Node #0,2: 63:[1, 87, 12] Operation: 96/8=12
Exploring Operation: 96-8=88, Resulting Numbers: [1, 87, 88]
Generated Node #0,3: 63:[1, 87, 88] Operation: 96-8=88
Exploring Operation: 96-1=95, Resulting Numbers: [87, 8, 95]
Generated Node #0,4: 63:[87, 8, 95] Operation: 96-1=95
Moving to Node #0,1
Current State: 63:[1, 8, 9], Operations: ['96-87=9']
Exploring Operation: 1*8=8, Resulting Numbers: [9, 8]
Generated Node #0,1,0: 63:[9, 8] Operation: 1*8=8
Exploring Operation: 8/1=8, Resulting Numbers: [9, 8]
Generated Node #0,1,1: 63:[9, 8] Operation: 8/1=8
Exploring Operation: 1*9=9, Resulting Numbers: [8, 9]
Generated Node #0,1,2: 63:[8, 9] Operation: 1*9=9
Exploring Operation: 1+8=9, Resulting Numbers: [9, 9]
Generated Node #0,1,3: 63:[9, 9] Operation: 1+8=9
Exploring Operation: 8-1=7, Resulting Numbers: [9, 7]
Generated Node #0,1,4: 63:[9, 7] Operation: 8-1=7
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 63:[9, 9], Operations: ['96-87=9', '1+8=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 63:[9, 7], Operations: ['96-87=9', '8-1=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[1, 96, 87, 8], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [1, 8, 9]
Generated Node #0,1: 63:[1, 8, 9] Operation: 96-87=9
Moving to Node #0,1
Current State: 63:[1, 8, 9], Operations: ['96-87=9']
Exploring Operation: 8-1=7, Resulting Numbers: [9, 7]
Generated Node #0,1,4: 63:[9, 7] Operation: 8-1=7
Moving to Node #0,1,4
Current State: 63:[9, 7], Operations: ['96-87=9', '8-1=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
24,
24,
38,
22
] | 31 | [
"24+38=62",
"24-22=2",
"62/2=31"
] | Current State: 31:[24, 24, 38, 22], Operations: []
Exploring Operation: 24+38=62, Resulting Numbers: [22, 62]
Generated Node #2: [22, 62] from Operation: 24+38=62
Current State: 31:[22, 62], Operations: ['24+38=62']
Exploring Operation: 24-22=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 24-22=2
Current State: 31:[62, 2], Operations: ['24+38=62', '24-22=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[24, 24, 38, 22], Operations: []
Exploring Operation: 24+22=46, Resulting Numbers: [24, 38, 46]
Generated Node #0,0: 31:[24, 38, 46] Operation: 24+22=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[24, 38, 46], Operations: ['24+22=46']
Exploring Operation: 46-24=22, Resulting Numbers: [38, 22]
Generated Node #0,0,0: 31:[38, 22] Operation: 46-24=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[38, 22], Operations: ['24+22=46', '46-24=22']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
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