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 |
|---|---|---|---|---|---|---|---|---|
[
82,
5,
7,
8
] | 88 | [
"82+5=87",
"8-7=1",
"87+1=88"
] | Current State: 88:[82, 5, 7, 8], Operations: []
Exploring Operation: 82+5=87, Resulting Numbers: [7, 8, 87]
Generated Node #2: [7, 8, 87] from Operation: 82+5=87
Current State: 88:[7, 8, 87], Operations: ['82+5=87']
Exploring Operation: 8-7=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 8-7=1
Current State: 88:[87, 1], Operations: ['82+5=87', '8-7=1']
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[82, 5, 7, 8], Operations: []
Exploring Operation: 82+7=89, Resulting Numbers: [5, 8, 89]
Generated Node #0,0: 88:[5, 8, 89] Operation: 82+7=89
Exploring Operation: 82+5=87, Resulting Numbers: [7, 8, 87]
Generated Node #0,1: 88:[7, 8, 87] Operation: 82+5=87
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[5, 8, 89], Operations: ['82+7=89']
Exploring Operation: 5+8=13, Resulting Numbers: [89, 13]
Generated Node #0,0,0: 88:[89, 13] Operation: 5+8=13
Exploring Operation: 8-5=3, Resulting Numbers: [89, 3]
Generated Node #0,0,1: 88:[89, 3] Operation: 8-5=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[89, 3], Operations: ['82+7=89', '8-5=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,88 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[89, 13], Operations: ['82+7=89', '5+8=13']
Exploring Operation: 89+13=102, Resulting Numbers: [102]
102,88 unequal: No Solution
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,88 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: 88:[7, 8, 87], Operations: ['82+5=87']
Exploring Operation: 7+8=15, Resulting Numbers: [87, 15]
Generated Node #0,1,0: 88:[87, 15] Operation: 7+8=15
Exploring Operation: 8-7=1, Resulting Numbers: [87, 1]
Generated Node #0,1,1: 88:[87, 1] Operation: 8-7=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 88:[87, 1], Operations: ['82+5=87', '8-7=1']
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[82, 5, 7, 8], Operations: []
Exploring Operation: 82+5=87, Resulting Numbers: [7, 8, 87]
Generated Node #0,1: 88:[7, 8, 87] Operation: 82+5=87
Moving to Node #0,1
Current State: 88:[7, 8, 87], Operations: ['82+5=87']
Exploring Operation: 8-7=1, Resulting Numbers: [87, 1]
Generated Node #0,1,1: 88:[87, 1] Operation: 8-7=1
Moving to Node #0,1,1
Current State: 88:[87, 1], Operations: ['82+5=87', '8-7=1']
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
1,
67,
79,
2
] | 45 | [
"1+67=68",
"68/2=34",
"79-34=45"
] | Current State: 45:[1, 67, 79, 2], Operations: []
Exploring Operation: 1+67=68, Resulting Numbers: [79, 2, 68]
Generated Node #2: [79, 2, 68] from Operation: 1+67=68
Current State: 45:[79, 2, 68], Operations: ['1+67=68']
Exploring Operation: 68/2=34, Resulting Numbers: [79, 34]
Generated Node #3: [79, 34] from Operation: 68/2=34
Current State: 45:[79, 34], Operations: ['1+67=68', '68/2=34']
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[1, 67, 79, 2], Operations: []
Exploring Operation: 67-1=66, Resulting Numbers: [79, 2, 66]
Generated Node #0,0: 45:[79, 2, 66] Operation: 67-1=66
Exploring Operation: 1+2=3, Resulting Numbers: [67, 79, 3]
Generated Node #0,1: 45:[67, 79, 3] Operation: 1+2=3
Exploring Operation: 79-67=12, Resulting Numbers: [1, 2, 12]
Generated Node #0,2: 45:[1, 2, 12] Operation: 79-67=12
Exploring Operation: 79-1=78, Resulting Numbers: [67, 2, 78]
Generated Node #0,3: 45:[67, 2, 78] Operation: 79-1=78
Moving to Node #0,2
Current State: 45:[1, 2, 12], Operations: ['79-67=12']
Exploring Operation: 2+12=14, Resulting Numbers: [1, 14]
Generated Node #0,2,0: 45:[1, 14] Operation: 2+12=14
Exploring Operation: 12-1=11, Resulting Numbers: [2, 11]
Generated Node #0,2,1: 45:[2, 11] Operation: 12-1=11
Exploring Operation: 1+2=3, Resulting Numbers: [12, 3]
Generated Node #0,2,2: 45:[12, 3] Operation: 1+2=3
Exploring Operation: 1+12=13, Resulting Numbers: [2, 13]
Generated Node #0,2,3: 45:[2, 13] Operation: 1+12=13
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[1, 14], Operations: ['79-67=12', '2+12=14']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,45 unequal: No Solution
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,45 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 #0,2,1
Current State: 45:[2, 11], Operations: ['79-67=12', '12-1=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,45 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,45 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 #0,2,2
Current State: 45:[12, 3], Operations: ['79-67=12', '1+2=3']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,45 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,45 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 #0,2,3
Current State: 45:[2, 13], Operations: ['79-67=12', '1+12=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,45 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:[67, 79, 3], Operations: ['1+2=3']
Exploring Operation: 67+3=70, Resulting Numbers: [79, 70]
Generated Node #0,1,0: 45:[79, 70] Operation: 67+3=70
Exploring Operation: 79-67=12, Resulting Numbers: [3, 12]
Generated Node #0,1,1: 45:[3, 12] Operation: 79-67=12
Exploring Operation: 79-3=76, Resulting Numbers: [67, 76]
Generated Node #0,1,2: 45:[67, 76] Operation: 79-3=76
Exploring Operation: 67-3=64, Resulting Numbers: [79, 64]
Generated Node #0,1,3: 45:[79, 64] Operation: 67-3=64
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[3, 12], Operations: ['1+2=3', '79-67=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,45 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,45 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 #0,1,2
Current State: 45:[67, 76], Operations: ['1+2=3', '79-3=76']
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,45 unequal: No Solution
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,45 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,45 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 #0,1,3
Current State: 45:[79, 64], Operations: ['1+2=3', '67-3=64']
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Exploring Operation: 79+64=143, Resulting Numbers: [143]
143,45 unequal: No Solution
Exploring Operation: 79*64=5056, Resulting Numbers: [5056]
5056,45 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 #0,1,0
Current State: 45:[79, 70], Operations: ['1+2=3', '67+3=70']
Exploring Operation: 79-70=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 79*70=5530, Resulting Numbers: [5530]
5530,45 unequal: No Solution
Exploring Operation: 79+70=149, Resulting Numbers: [149]
149,45 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: 45:[79, 2, 66], Operations: ['67-1=66']
Exploring Operation: 66/2=33, Resulting Numbers: [79, 33]
Generated Node #0,0,0: 45:[79, 33] Operation: 66/2=33
Exploring Operation: 66-2=64, Resulting Numbers: [79, 64]
Generated Node #0,0,1: 45:[79, 64] Operation: 66-2=64
Exploring Operation: 79-66=13, Resulting Numbers: [2, 13]
Generated Node #0,0,2: 45:[2, 13] Operation: 79-66=13
Exploring Operation: 79-2=77, Resulting Numbers: [66, 77]
Generated Node #0,0,3: 45:[66, 77] Operation: 79-2=77
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 45:[2, 13], Operations: ['67-1=66', '79-66=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,45 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 #0,0,0
Current State: 45:[79, 33], Operations: ['67-1=66', '66/2=33']
Exploring Operation: 79+33=112, Resulting Numbers: [112]
112,45 unequal: No Solution
Exploring Operation: 79*33=2607, Resulting Numbers: [2607]
2607,45 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,45 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 #0,0,1
Current State: 45:[79, 64], Operations: ['67-1=66', '66-2=64']
Exploring Operation: 79*64=5056, Resulting Numbers: [5056]
5056,45 unequal: No Solution
Exploring Operation: 79+64=143, Resulting Numbers: [143]
143,45 unequal: No Solution
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,45 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 #0,0,3
Current State: 45:[66, 77], Operations: ['67-1=66', '79-2=77']
Exploring Operation: 77-66=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 66*77=5082, Resulting Numbers: [5082]
5082,45 unequal: No Solution
Exploring Operation: 66+77=143, Resulting Numbers: [143]
143,45 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: 45:[67, 2, 78], Operations: ['79-1=78']
Exploring Operation: 78-2=76, Resulting Numbers: [67, 76]
Generated Node #0,3,0: 45:[67, 76] Operation: 78-2=76
Exploring Operation: 78-67=11, Resulting Numbers: [2, 11]
Generated Node #0,3,1: 45:[2, 11] Operation: 78-67=11
Exploring Operation: 67-2=65, Resulting Numbers: [78, 65]
Generated Node #0,3,2: 45:[78, 65] Operation: 67-2=65
Exploring Operation: 78/2=39, Resulting Numbers: [67, 39]
Generated Node #0,3,3: 45:[67, 39] Operation: 78/2=39
Moving to Node #0,3,1
Current State: 45:[2, 11], Operations: ['79-1=78', '78-67=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[67, 39], Operations: ['79-1=78', '78/2=39']
Exploring Operation: 67*39=2613, Resulting Numbers: [2613]
2613,45 unequal: No Solution
Exploring Operation: 67+39=106, Resulting Numbers: [106]
106,45 unequal: No Solution
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[78, 65], Operations: ['79-1=78', '67-2=65']
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 78+65=143, Resulting Numbers: [143]
143,45 unequal: No Solution
Exploring Operation: 78*65=5070, Resulting Numbers: [5070]
5070,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[67, 76], Operations: ['79-1=78', '78-2=76']
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,45 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,45 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
26,
92,
60,
40
] | 44 | [
"92-26=66",
"40*66=2640",
"2640/60=44"
] | Current State: 44:[26, 92, 60, 40], Operations: []
Exploring Operation: 92-26=66, Resulting Numbers: [60, 40, 66]
Generated Node #2: [60, 40, 66] from Operation: 92-26=66
Current State: 44:[60, 40, 66], Operations: ['92-26=66']
Exploring Operation: 40*66=2640, Resulting Numbers: [60, 2640]
Generated Node #3: [60, 2640] from Operation: 40*66=2640
Current State: 44:[60, 2640], Operations: ['92-26=66', '40*66=2640']
Exploring Operation: 2640/60=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[26, 92, 60, 40], Operations: []
Exploring Operation: 92-40=52, Resulting Numbers: [26, 60, 52]
Generated Node #0,0: 44:[26, 60, 52] Operation: 92-40=52
Exploring Operation: 60-40=20, Resulting Numbers: [26, 92, 20]
Generated Node #0,1: 44:[26, 92, 20] Operation: 60-40=20
Exploring Operation: 60-26=34, Resulting Numbers: [92, 40, 34]
Generated Node #0,2: 44:[92, 40, 34] Operation: 60-26=34
Exploring Operation: 92-60=32, Resulting Numbers: [26, 40, 32]
Generated Node #0,3: 44:[26, 40, 32] Operation: 92-60=32
Exploring Operation: 92-26=66, Resulting Numbers: [60, 40, 66]
Generated Node #0,4: 44:[60, 40, 66] Operation: 92-26=66
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[26, 40, 32], Operations: ['92-60=32']
Exploring Operation: 26+32=58, Resulting Numbers: [40, 58]
Generated Node #0,3,0: 44:[40, 58] Operation: 26+32=58
Exploring Operation: 40-32=8, Resulting Numbers: [26, 8]
Generated Node #0,3,1: 44:[26, 8] Operation: 40-32=8
Exploring Operation: 26+40=66, Resulting Numbers: [32, 66]
Generated Node #0,3,2: 44:[32, 66] Operation: 26+40=66
Exploring Operation: 32-26=6, Resulting Numbers: [40, 6]
Generated Node #0,3,3: 44:[40, 6] Operation: 32-26=6
Exploring Operation: 40-26=14, Resulting Numbers: [32, 14]
Generated Node #0,3,4: 44:[32, 14] Operation: 40-26=14
Moving to Node #0,3,3
Current State: 44:[40, 6], Operations: ['92-60=32', '32-26=6']
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[26, 8], Operations: ['92-60=32', '40-32=8']
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,44 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Moving to Node #0,3,4
Current State: 44:[32, 14], Operations: ['92-60=32', '40-26=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Exploring Operation: 32*14=448, Resulting Numbers: [448]
448,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[40, 58], Operations: ['92-60=32', '26+32=58']
Exploring Operation: 40+58=98, Resulting Numbers: [98]
98,44 unequal: No Solution
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 40*58=2320, Resulting Numbers: [2320]
2320,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[32, 66], Operations: ['92-60=32', '26+40=66']
Exploring Operation: 32+66=98, Resulting Numbers: [98]
98,44 unequal: No Solution
Exploring Operation: 32*66=2112, Resulting Numbers: [2112]
2112,44 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[26, 60, 52], Operations: ['92-40=52']
Exploring Operation: 52-26=26, Resulting Numbers: [60, 26]
Generated Node #0,0,0: 44:[60, 26] Operation: 52-26=26
Exploring Operation: 26+60=86, Resulting Numbers: [52, 86]
Generated Node #0,0,1: 44:[52, 86] Operation: 26+60=86
Exploring Operation: 60-26=34, Resulting Numbers: [52, 34]
Generated Node #0,0,2: 44:[52, 34] Operation: 60-26=34
Exploring Operation: 52/26=2, Resulting Numbers: [60, 2]
Generated Node #0,0,3: 44:[60, 2] Operation: 52/26=2
Exploring Operation: 60-52=8, Resulting Numbers: [26, 8]
Generated Node #0,0,4: 44:[26, 8] Operation: 60-52=8
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 44:[26, 8], Operations: ['92-40=52', '60-52=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,44 unequal: No Solution
No 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: 44:[60, 2], Operations: ['92-40=52', '52/26=2']
Exploring Operation: 60*2=120, Resulting Numbers: [120]
120,44 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,44 unequal: No Solution
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,44 unequal: No Solution
No 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: 44:[52, 34], Operations: ['92-40=52', '60-26=34']
Exploring Operation: 52+34=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Exploring Operation: 52*34=1768, Resulting Numbers: [1768]
1768,44 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,44 unequal: No Solution
No 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: 44:[60, 26], Operations: ['92-40=52', '52-26=26']
Exploring Operation: 60*26=1560, Resulting Numbers: [1560]
1560,44 unequal: No Solution
Exploring Operation: 60+26=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,44 unequal: No Solution
No 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: 44:[52, 86], Operations: ['92-40=52', '26+60=86']
Exploring Operation: 52+86=138, Resulting Numbers: [138]
138,44 unequal: No Solution
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 52*86=4472, Resulting Numbers: [4472]
4472,44 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: 44:[60, 40, 66], Operations: ['92-26=66']
Exploring Operation: 40+66=106, Resulting Numbers: [60, 106]
Generated Node #0,4,0: 44:[60, 106] Operation: 40+66=106
Exploring Operation: 60+40=100, Resulting Numbers: [66, 100]
Generated Node #0,4,1: 44:[66, 100] Operation: 60+40=100
Exploring Operation: 66-40=26, Resulting Numbers: [60, 26]
Generated Node #0,4,2: 44:[60, 26] Operation: 66-40=26
Exploring Operation: 66-60=6, Resulting Numbers: [40, 6]
Generated Node #0,4,3: 44:[40, 6] Operation: 66-60=6
Exploring Operation: 60-40=20, Resulting Numbers: [66, 20]
Generated Node #0,4,4: 44:[66, 20] Operation: 60-40=20
Moving to Node #0,4,3
Current State: 44:[40, 6], Operations: ['92-26=66', '66-60=6']
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,44 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Moving to Node #0,4,2
Current State: 44:[60, 26], Operations: ['92-26=66', '66-40=26']
Exploring Operation: 60+26=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 60*26=1560, Resulting Numbers: [1560]
1560,44 unequal: No Solution
Moving to Node #0,4,4
Current State: 44:[66, 20], Operations: ['92-26=66', '60-40=20']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Exploring Operation: 66*20=1320, Resulting Numbers: [1320]
1320,44 unequal: No Solution
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Moving to Node #0,4,0
Current State: 44:[60, 106], Operations: ['92-26=66', '40+66=106']
Exploring Operation: 106-60=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Exploring Operation: 60*106=6360, Resulting Numbers: [6360]
6360,44 unequal: No Solution
Exploring Operation: 60+106=166, Resulting Numbers: [166]
166,44 unequal: No Solution
Moving to Node #0,4,1
Current State: 44:[66, 100], Operations: ['92-26=66', '60+40=100']
Exploring Operation: 100-66=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 66*100=6600, Resulting Numbers: [6600]
6600,44 unequal: No Solution
Exploring Operation: 66+100=166, Resulting Numbers: [166]
166,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[26, 92, 20], Operations: ['60-40=20']
Exploring Operation: 92+20=112, Resulting Numbers: [26, 112]
Generated Node #0,1,0: 44:[26, 112] Operation: 92+20=112
Exploring Operation: 92-26=66, Resulting Numbers: [20, 66]
Generated Node #0,1,1: 44:[20, 66] Operation: 92-26=66
Exploring Operation: 26+20=46, Resulting Numbers: [92, 46]
Generated Node #0,1,2: 44:[92, 46] Operation: 26+20=46
Exploring Operation: 26-20=6, Resulting Numbers: [92, 6]
Generated Node #0,1,3: 44:[92, 6] Operation: 26-20=6
Exploring Operation: 92-20=72, Resulting Numbers: [26, 72]
Generated Node #0,1,4: 44:[26, 72] Operation: 92-20=72
Moving to Node #0,1,1
Current State: 44:[20, 66], Operations: ['60-40=20', '92-26=66']
Exploring Operation: 20*66=1320, Resulting Numbers: [1320]
1320,44 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Exploring Operation: 20+66=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Moving to Node #0,1,4
Current State: 44:[26, 72], Operations: ['60-40=20', '92-20=72']
Exploring Operation: 26+72=98, Resulting Numbers: [98]
98,44 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Exploring Operation: 26*72=1872, Resulting Numbers: [1872]
1872,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[92, 46], Operations: ['60-40=20', '26+20=46']
Exploring Operation: 92/46=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 92+46=138, Resulting Numbers: [138]
138,44 unequal: No Solution
Exploring Operation: 92*46=4232, Resulting Numbers: [4232]
4232,44 unequal: No Solution
Exploring Operation: 92-46=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[92, 6], Operations: ['60-40=20', '26-20=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,44 unequal: No Solution
Exploring Operation: 92*6=552, Resulting Numbers: [552]
552,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[26, 112], Operations: ['60-40=20', '92+20=112']
Exploring Operation: 26+112=138, Resulting Numbers: [138]
138,44 unequal: No Solution
Exploring Operation: 26*112=2912, Resulting Numbers: [2912]
2912,44 unequal: No Solution
Exploring Operation: 112-26=86, Resulting Numbers: [86]
86,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[92, 40, 34], Operations: ['60-26=34']
Exploring Operation: 92+34=126, Resulting Numbers: [40, 126]
Generated Node #0,2,0: 44:[40, 126] Operation: 92+34=126
Exploring Operation: 92-40=52, Resulting Numbers: [34, 52]
Generated Node #0,2,1: 44:[34, 52] Operation: 92-40=52
Exploring Operation: 92-34=58, Resulting Numbers: [40, 58]
Generated Node #0,2,2: 44:[40, 58] Operation: 92-34=58
Exploring Operation: 40+34=74, Resulting Numbers: [92, 74]
Generated Node #0,2,3: 44:[92, 74] Operation: 40+34=74
Exploring Operation: 40-34=6, Resulting Numbers: [92, 6]
Generated Node #0,2,4: 44:[92, 6] Operation: 40-34=6
Moving to Node #0,2,1
Current State: 44:[34, 52], Operations: ['60-26=34', '92-40=52']
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Exploring Operation: 34*52=1768, Resulting Numbers: [1768]
1768,44 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[40, 58], Operations: ['60-26=34', '92-34=58']
Exploring Operation: 40*58=2320, Resulting Numbers: [2320]
2320,44 unequal: No Solution
Exploring Operation: 40+58=98, Resulting Numbers: [98]
98,44 unequal: No Solution
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Moving to Node #0,2,4
Current State: 44:[92, 6], Operations: ['60-26=34', '40-34=6']
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,44 unequal: No Solution
Exploring Operation: 92*6=552, Resulting Numbers: [552]
552,44 unequal: No Solution
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[92, 74], Operations: ['60-26=34', '40+34=74']
Exploring Operation: 92*74=6808, Resulting Numbers: [6808]
6808,44 unequal: No Solution
Exploring Operation: 92+74=166, Resulting Numbers: [166]
166,44 unequal: No Solution
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[40, 126], Operations: ['60-26=34', '92+34=126']
Exploring Operation: 40+126=166, Resulting Numbers: [166]
166,44 unequal: No Solution
Exploring Operation: 40*126=5040, Resulting Numbers: [5040]
5040,44 unequal: No Solution
Exploring Operation: 126-40=86, Resulting Numbers: [86]
86,44 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 |
[
12,
53,
97,
80
] | 24 | [
"53-12=41",
"97-80=17",
"41-17=24"
] | Current State: 24:[12, 53, 97, 80], Operations: []
Exploring Operation: 53-12=41, Resulting Numbers: [97, 80, 41]
Generated Node #2: [97, 80, 41] from Operation: 53-12=41
Current State: 24:[97, 80, 41], Operations: ['53-12=41']
Exploring Operation: 97-80=17, Resulting Numbers: [41, 17]
Generated Node #3: [41, 17] from Operation: 97-80=17
Current State: 24:[41, 17], Operations: ['53-12=41', '97-80=17']
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[12, 53, 97, 80], Operations: []
Exploring Operation: 80-53=27, Resulting Numbers: [12, 97, 27]
Generated Node #0,0: 24:[12, 97, 27] Operation: 80-53=27
Exploring Operation: 97-80=17, Resulting Numbers: [12, 53, 17]
Generated Node #0,1: 24:[12, 53, 17] Operation: 97-80=17
Exploring Operation: 97-53=44, Resulting Numbers: [12, 80, 44]
Generated Node #0,2: 24:[12, 80, 44] Operation: 97-53=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[12, 53, 17], Operations: ['97-80=17']
Exploring Operation: 53-12=41, Resulting Numbers: [17, 41]
Generated Node #0,1,0: 24:[17, 41] Operation: 53-12=41
Exploring Operation: 53-17=36, Resulting Numbers: [12, 36]
Generated Node #0,1,1: 24:[12, 36] Operation: 53-17=36
Exploring Operation: 17-12=5, Resulting Numbers: [53, 5]
Generated Node #0,1,2: 24:[53, 5] Operation: 17-12=5
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 24:[12, 36], Operations: ['97-80=17', '53-17=36']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,24 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[12, 53, 97, 80], Operations: []
Exploring Operation: 97-80=17, Resulting Numbers: [12, 53, 17]
Generated Node #0,1: 24:[12, 53, 17] Operation: 97-80=17
Moving to Node #0,1
Current State: 24:[12, 53, 17], Operations: ['97-80=17']
Exploring Operation: 53-17=36, Resulting Numbers: [12, 36]
Generated Node #0,1,1: 24:[12, 36] Operation: 53-17=36
Moving to Node #0,1,1
Current State: 24:[12, 36], Operations: ['97-80=17', '53-17=36']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
73,
54,
14,
86
] | 55 | [
"73+54=127",
"86-14=72",
"127-72=55"
] | Current State: 55:[73, 54, 14, 86], Operations: []
Exploring Operation: 73+54=127, Resulting Numbers: [14, 86, 127]
Generated Node #2: [14, 86, 127] from Operation: 73+54=127
Current State: 55:[14, 86, 127], Operations: ['73+54=127']
Exploring Operation: 86-14=72, Resulting Numbers: [127, 72]
Generated Node #3: [127, 72] from Operation: 86-14=72
Current State: 55:[127, 72], Operations: ['73+54=127', '86-14=72']
Exploring Operation: 127-72=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[73, 54, 14, 86], Operations: []
Exploring Operation: 73-14=59, Resulting Numbers: [54, 86, 59]
Generated Node #0,0: 55:[54, 86, 59] Operation: 73-14=59
Exploring Operation: 86-73=13, Resulting Numbers: [54, 14, 13]
Generated Node #0,1: 55:[54, 14, 13] Operation: 86-73=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[54, 14, 13], Operations: ['86-73=13']
Exploring Operation: 14-13=1, Resulting Numbers: [54, 1]
Generated Node #0,1,0: 55:[54, 1] Operation: 14-13=1
Exploring Operation: 54+14=68, Resulting Numbers: [13, 68]
Generated Node #0,1,1: 55:[13, 68] Operation: 54+14=68
Moving to Node #0,1,0
Current State: 55:[54, 1], Operations: ['86-73=13', '14-13=1']
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[73, 54, 14, 86], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [54, 14, 13]
Generated Node #0,1: 55:[54, 14, 13] Operation: 86-73=13
Moving to Node #0,1
Current State: 55:[54, 14, 13], Operations: ['86-73=13']
Exploring Operation: 14-13=1, Resulting Numbers: [54, 1]
Generated Node #0,1,0: 55:[54, 1] Operation: 14-13=1
Moving to Node #0,1,0
Current State: 55:[54, 1], Operations: ['86-73=13', '14-13=1']
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
98,
1,
62,
99
] | 64 | [
"98-1=97",
"62+99=161",
"161-97=64"
] | Current State: 64:[98, 1, 62, 99], Operations: []
Exploring Operation: 98-1=97, Resulting Numbers: [62, 99, 97]
Generated Node #2: [62, 99, 97] from Operation: 98-1=97
Current State: 64:[62, 99, 97], Operations: ['98-1=97']
Exploring Operation: 62+99=161, Resulting Numbers: [97, 161]
Generated Node #3: [97, 161] from Operation: 62+99=161
Current State: 64:[97, 161], Operations: ['98-1=97', '62+99=161']
Exploring Operation: 161-97=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[98, 1, 62, 99], Operations: []
Exploring Operation: 99-98=1, Resulting Numbers: [1, 62, 1]
Generated Node #0,0: 64:[1, 62, 1] Operation: 99-98=1
Exploring Operation: 99-62=37, Resulting Numbers: [98, 1, 37]
Generated Node #0,1: 64:[98, 1, 37] Operation: 99-62=37
Exploring Operation: 98-1=97, Resulting Numbers: [62, 99, 97]
Generated Node #0,2: 64:[62, 99, 97] Operation: 98-1=97
Exploring Operation: 98-62=36, Resulting Numbers: [1, 99, 36]
Generated Node #0,3: 64:[1, 99, 36] Operation: 98-62=36
Moving to Node #0,0
Current State: 64:[1, 62, 1], Operations: ['99-98=1']
Exploring Operation: 1+1=2, Resulting Numbers: [62, 2]
Generated Node #0,0,0: 64:[62, 2] Operation: 1+1=2
Exploring Operation: 62+1=63, Resulting Numbers: [1, 63]
Generated Node #0,0,1: 64:[1, 63] Operation: 62+1=63
Exploring Operation: 1*62=62, Resulting Numbers: [1, 62]
Generated Node #0,0,2: 64:[1, 62] Operation: 1*62=62
Exploring Operation: 1+62=63, Resulting Numbers: [1, 63]
Generated Node #0,0,3: 64:[1, 63] Operation: 1+62=63
Moving to Node #0,3
Current State: 64:[1, 99, 36], Operations: ['98-62=36']
Exploring Operation: 36-1=35, Resulting Numbers: [99, 35]
Generated Node #0,3,0: 64:[99, 35] Operation: 36-1=35
Exploring Operation: 1*99=99, Resulting Numbers: [36, 99]
Generated Node #0,3,1: 64:[36, 99] Operation: 1*99=99
Exploring Operation: 99-36=63, Resulting Numbers: [1, 63]
Generated Node #0,3,2: 64:[1, 63] Operation: 99-36=63
Exploring Operation: 99-1=98, Resulting Numbers: [36, 98]
Generated Node #0,3,3: 64:[36, 98] Operation: 99-1=98
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[1, 63], Operations: ['98-62=36', '99-36=63']
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[98, 1, 62, 99], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [1, 99, 36]
Generated Node #0,3: 64:[1, 99, 36] Operation: 98-62=36
Moving to Node #0,3
Current State: 64:[1, 99, 36], Operations: ['98-62=36']
Exploring Operation: 99-36=63, Resulting Numbers: [1, 63]
Generated Node #0,3,2: 64:[1, 63] Operation: 99-36=63
Moving to Node #0,3,2
Current State: 64:[1, 63], Operations: ['98-62=36', '99-36=63']
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
50,
94,
81,
44
] | 19 | [
"50+94=144",
"81+44=125",
"144-125=19"
] | Current State: 19:[50, 94, 81, 44], Operations: []
Exploring Operation: 50+94=144, Resulting Numbers: [81, 44, 144]
Generated Node #2: [81, 44, 144] from Operation: 50+94=144
Current State: 19:[81, 44, 144], Operations: ['50+94=144']
Exploring Operation: 81+44=125, Resulting Numbers: [144, 125]
Generated Node #3: [144, 125] from Operation: 81+44=125
Current State: 19:[144, 125], Operations: ['50+94=144', '81+44=125']
Exploring Operation: 144-125=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[50, 94, 81, 44], Operations: []
Exploring Operation: 94-50=44, Resulting Numbers: [81, 44, 44]
Generated Node #0,0: 19:[81, 44, 44] Operation: 94-50=44
Exploring Operation: 94-81=13, Resulting Numbers: [50, 44, 13]
Generated Node #0,1: 19:[50, 44, 13] Operation: 94-81=13
Exploring Operation: 81-50=31, Resulting Numbers: [94, 44, 31]
Generated Node #0,2: 19:[94, 44, 31] Operation: 81-50=31
Moving to Node #0,1
Current State: 19:[50, 44, 13], Operations: ['94-81=13']
Exploring Operation: 50-44=6, Resulting Numbers: [13, 6]
Generated Node #0,1,0: 19:[13, 6] Operation: 50-44=6
Exploring Operation: 44-13=31, Resulting Numbers: [50, 31]
Generated Node #0,1,1: 19:[50, 31] Operation: 44-13=31
Exploring Operation: 50-13=37, Resulting Numbers: [44, 37]
Generated Node #0,1,2: 19:[44, 37] Operation: 50-13=37
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[13, 6], Operations: ['94-81=13', '50-44=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[50, 94, 81, 44], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [50, 44, 13]
Generated Node #0,1: 19:[50, 44, 13] Operation: 94-81=13
Moving to Node #0,1
Current State: 19:[50, 44, 13], Operations: ['94-81=13']
Exploring Operation: 50-44=6, Resulting Numbers: [13, 6]
Generated Node #0,1,0: 19:[13, 6] Operation: 50-44=6
Moving to Node #0,1,0
Current State: 19:[13, 6], Operations: ['94-81=13', '50-44=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
46,
74,
20,
92
] | 86 | [
"46+74=120",
"120/20=6",
"92-6=86"
] | Current State: 86:[46, 74, 20, 92], Operations: []
Exploring Operation: 46+74=120, Resulting Numbers: [20, 92, 120]
Generated Node #2: [20, 92, 120] from Operation: 46+74=120
Current State: 86:[20, 92, 120], Operations: ['46+74=120']
Exploring Operation: 120/20=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 120/20=6
Current State: 86:[92, 6], Operations: ['46+74=120', '120/20=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[46, 74, 20, 92], Operations: []
Exploring Operation: 74-20=54, Resulting Numbers: [46, 92, 54]
Generated Node #0,0: 86:[46, 92, 54] Operation: 74-20=54
Exploring Operation: 74+20=94, Resulting Numbers: [46, 92, 94]
Generated Node #0,1: 86:[46, 92, 94] Operation: 74+20=94
Exploring Operation: 92-20=72, Resulting Numbers: [46, 74, 72]
Generated Node #0,2: 86:[46, 74, 72] Operation: 92-20=72
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[46, 92, 94], Operations: ['74+20=94']
Exploring Operation: 92/46=2, Resulting Numbers: [94, 2]
Generated Node #0,1,0: 86:[94, 2] Operation: 92/46=2
Exploring Operation: 92-46=46, Resulting Numbers: [94, 46]
Generated Node #0,1,1: 86:[94, 46] Operation: 92-46=46
Exploring Operation: 94-92=2, Resulting Numbers: [46, 2]
Generated Node #0,1,2: 86:[46, 2] Operation: 94-92=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 86:[46, 2], Operations: ['74+20=94', '94-92=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,86 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,86 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[94, 2], Operations: ['74+20=94', '92/46=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,86 unequal: No Solution
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[94, 46], Operations: ['74+20=94', '92-46=46']
Exploring Operation: 94*46=4324, Resulting Numbers: [4324]
4324,86 unequal: No Solution
Exploring Operation: 94-46=48, Resulting Numbers: [48]
48,86 unequal: No Solution
Exploring Operation: 94+46=140, Resulting Numbers: [140]
140,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[46, 92, 54], Operations: ['74-20=54']
Exploring Operation: 92-54=38, Resulting Numbers: [46, 38]
Generated Node #0,0,0: 86:[46, 38] Operation: 92-54=38
Exploring Operation: 54-46=8, Resulting Numbers: [92, 8]
Generated Node #0,0,1: 86:[92, 8] Operation: 54-46=8
Exploring Operation: 92/46=2, Resulting Numbers: [54, 2]
Generated Node #0,0,2: 86:[54, 2] Operation: 92/46=2
Moving to Node #0,0,0
Current State: 86:[46, 38], Operations: ['74-20=54', '92-54=38']
Exploring Operation: 46+38=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 46*38=1748, Resulting Numbers: [1748]
1748,86 unequal: No Solution
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[54, 2], Operations: ['74-20=54', '92/46=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,86 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[92, 8], Operations: ['74-20=54', '54-46=8']
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,86 unequal: No Solution
Exploring Operation: 92*8=736, Resulting Numbers: [736]
736,86 unequal: No Solution
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[46, 74, 72], Operations: ['92-20=72']
Exploring Operation: 74-46=28, Resulting Numbers: [72, 28]
Generated Node #0,2,0: 86:[72, 28] Operation: 74-46=28
Exploring Operation: 74-72=2, Resulting Numbers: [46, 2]
Generated Node #0,2,1: 86:[46, 2] Operation: 74-72=2
Exploring Operation: 72-46=26, Resulting Numbers: [74, 26]
Generated Node #0,2,2: 86:[74, 26] Operation: 72-46=26
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 86:[46, 2], Operations: ['92-20=72', '74-72=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,86 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,86 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 86:[72, 28], Operations: ['92-20=72', '74-46=28']
Exploring Operation: 72*28=2016, Resulting Numbers: [2016]
2016,86 unequal: No Solution
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,86 unequal: No Solution
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 86:[74, 26], Operations: ['92-20=72', '72-46=26']
Exploring Operation: 74*26=1924, Resulting Numbers: [1924]
1924,86 unequal: No Solution
Exploring Operation: 74+26=100, Resulting Numbers: [100]
100,86 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
84,
26,
29,
46
] | 35 | [
"84+26=110",
"29+46=75",
"110-75=35"
] | Current State: 35:[84, 26, 29, 46], Operations: []
Exploring Operation: 84+26=110, Resulting Numbers: [29, 46, 110]
Generated Node #2: [29, 46, 110] from Operation: 84+26=110
Current State: 35:[29, 46, 110], Operations: ['84+26=110']
Exploring Operation: 29+46=75, Resulting Numbers: [110, 75]
Generated Node #3: [110, 75] from Operation: 29+46=75
Current State: 35:[110, 75], Operations: ['84+26=110', '29+46=75']
Exploring Operation: 110-75=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[84, 26, 29, 46], Operations: []
Exploring Operation: 84-46=38, Resulting Numbers: [26, 29, 38]
Generated Node #0,0: 35:[26, 29, 38] Operation: 84-46=38
Exploring Operation: 84-26=58, Resulting Numbers: [29, 46, 58]
Generated Node #0,1: 35:[29, 46, 58] Operation: 84-26=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[26, 29, 38], Operations: ['84-46=38']
Exploring Operation: 38-26=12, Resulting Numbers: [29, 12]
Generated Node #0,0,0: 35:[29, 12] Operation: 38-26=12
Exploring Operation: 29-26=3, Resulting Numbers: [38, 3]
Generated Node #0,0,1: 35:[38, 3] Operation: 29-26=3
Moving to Node #0,0,1
Current State: 35:[38, 3], Operations: ['84-46=38', '29-26=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[84, 26, 29, 46], Operations: []
Exploring Operation: 84-46=38, Resulting Numbers: [26, 29, 38]
Generated Node #0,0: 35:[26, 29, 38] Operation: 84-46=38
Moving to Node #0,0
Current State: 35:[26, 29, 38], Operations: ['84-46=38']
Exploring Operation: 29-26=3, Resulting Numbers: [38, 3]
Generated Node #0,0,1: 35:[38, 3] Operation: 29-26=3
Moving to Node #0,0,1
Current State: 35:[38, 3], Operations: ['84-46=38', '29-26=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
33,
18,
3,
93
] | 75 | [
"33-18=15",
"93-3=90",
"90-15=75"
] | Current State: 75:[33, 18, 3, 93], Operations: []
Exploring Operation: 33-18=15, Resulting Numbers: [3, 93, 15]
Generated Node #2: [3, 93, 15] from Operation: 33-18=15
Current State: 75:[3, 93, 15], Operations: ['33-18=15']
Exploring Operation: 93-3=90, Resulting Numbers: [15, 90]
Generated Node #3: [15, 90] from Operation: 93-3=90
Current State: 75:[15, 90], Operations: ['33-18=15', '93-3=90']
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[33, 18, 3, 93], Operations: []
Exploring Operation: 93-18=75, Resulting Numbers: [33, 3, 75]
Generated Node #0,0: 75:[33, 3, 75] Operation: 93-18=75
Exploring Operation: 33/3=11, Resulting Numbers: [18, 93, 11]
Generated Node #0,1: 75:[18, 93, 11] Operation: 33/3=11
Exploring Operation: 33-18=15, Resulting Numbers: [3, 93, 15]
Generated Node #0,2: 75:[3, 93, 15] Operation: 33-18=15
Exploring Operation: 93/3=31, Resulting Numbers: [33, 18, 31]
Generated Node #0,3: 75:[33, 18, 31] Operation: 93/3=31
Exploring Operation: 93-33=60, Resulting Numbers: [18, 3, 60]
Generated Node #0,4: 75:[18, 3, 60] Operation: 93-33=60
Moving to Node #0,0
Current State: 75:[33, 3, 75], Operations: ['93-18=75']
Exploring Operation: 33+3=36, Resulting Numbers: [75, 36]
Generated Node #0,0,0: 75:[75, 36] Operation: 33+3=36
Exploring Operation: 3+75=78, Resulting Numbers: [33, 78]
Generated Node #0,0,1: 75:[33, 78] Operation: 3+75=78
Exploring Operation: 75/3=25, Resulting Numbers: [33, 25]
Generated Node #0,0,2: 75:[33, 25] Operation: 75/3=25
Exploring Operation: 33-3=30, Resulting Numbers: [75, 30]
Generated Node #0,0,3: 75:[75, 30] Operation: 33-3=30
Exploring Operation: 33/3=11, Resulting Numbers: [75, 11]
Generated Node #0,0,4: 75:[75, 11] Operation: 33/3=11
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 75:[75, 11], Operations: ['93-18=75', '33/3=11']
Exploring Operation: 75+11=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,75 unequal: No Solution
Exploring Operation: 75*11=825, Resulting Numbers: [825]
825,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 75:[75, 30], Operations: ['93-18=75', '33-3=30']
Exploring Operation: 75+30=105, Resulting Numbers: [105]
105,75 unequal: No Solution
Exploring Operation: 75*30=2250, Resulting Numbers: [2250]
2250,75 unequal: No Solution
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 75:[33, 25], Operations: ['93-18=75', '75/3=25']
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,75 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[75, 36], Operations: ['93-18=75', '33+3=36']
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,75 unequal: No Solution
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[33, 78], Operations: ['93-18=75', '3+75=78']
Exploring Operation: 33+78=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Exploring Operation: 33*78=2574, Resulting Numbers: [2574]
2574,75 unequal: No Solution
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,75 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: 75:[33, 18, 31], Operations: ['93/3=31']
Exploring Operation: 33-18=15, Resulting Numbers: [31, 15]
Generated Node #0,3,0: 75:[31, 15] Operation: 33-18=15
Exploring Operation: 31-18=13, Resulting Numbers: [33, 13]
Generated Node #0,3,1: 75:[33, 13] Operation: 31-18=13
Exploring Operation: 33+31=64, Resulting Numbers: [18, 64]
Generated Node #0,3,2: 75:[18, 64] Operation: 33+31=64
Exploring Operation: 33-31=2, Resulting Numbers: [18, 2]
Generated Node #0,3,3: 75:[18, 2] Operation: 33-31=2
Exploring Operation: 33+18=51, Resulting Numbers: [31, 51]
Generated Node #0,3,4: 75:[31, 51] Operation: 33+18=51
Moving to Node #0,2
Current State: 75:[3, 93, 15], Operations: ['33-18=15']
Exploring Operation: 93-3=90, Resulting Numbers: [15, 90]
Generated Node #0,2,0: 75:[15, 90] Operation: 93-3=90
Exploring Operation: 3+93=96, Resulting Numbers: [15, 96]
Generated Node #0,2,1: 75:[15, 96] Operation: 3+93=96
Exploring Operation: 93/3=31, Resulting Numbers: [15, 31]
Generated Node #0,2,2: 75:[15, 31] Operation: 93/3=31
Exploring Operation: 15/3=5, Resulting Numbers: [93, 5]
Generated Node #0,2,3: 75:[93, 5] Operation: 15/3=5
Exploring Operation: 93-15=78, Resulting Numbers: [3, 78]
Generated Node #0,2,4: 75:[3, 78] Operation: 93-15=78
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 75:[3, 78], Operations: ['33-18=15', '93-15=78']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[33, 18, 3, 93], Operations: []
Exploring Operation: 33-18=15, Resulting Numbers: [3, 93, 15]
Generated Node #0,2: 75:[3, 93, 15] Operation: 33-18=15
Moving to Node #0,2
Current State: 75:[3, 93, 15], Operations: ['33-18=15']
Exploring Operation: 93-15=78, Resulting Numbers: [3, 78]
Generated Node #0,2,4: 75:[3, 78] Operation: 93-15=78
Moving to Node #0,2,4
Current State: 75:[3, 78], Operations: ['33-18=15', '93-15=78']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | mult_heuristic |
[
88,
48,
44,
36
] | 14 | [
"88/44=2",
"48-36=12",
"2+12=14"
] | Current State: 14:[88, 48, 44, 36], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [48, 36, 2]
Generated Node #2: [48, 36, 2] from Operation: 88/44=2
Current State: 14:[48, 36, 2], Operations: ['88/44=2']
Exploring Operation: 48-36=12, Resulting Numbers: [2, 12]
Generated Node #3: [2, 12] from Operation: 48-36=12
Current State: 14:[2, 12], Operations: ['88/44=2', '48-36=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[88, 48, 44, 36], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [48, 36, 2]
Generated Node #0,0: 14:[48, 36, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 14:[48, 36, 2], Operations: ['88/44=2']
Exploring Operation: 48-36=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 14:[2, 12] Operation: 48-36=12
Moving to Node #0,0,0
Current State: 14:[2, 12], Operations: ['88/44=2', '48-36=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[88, 48, 44, 36], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [48, 36, 2]
Generated Node #0,0: 14:[48, 36, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 14:[48, 36, 2], Operations: ['88/44=2']
Exploring Operation: 48-36=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 14:[2, 12] Operation: 48-36=12
Moving to Node #0,0,0
Current State: 14:[2, 12], Operations: ['88/44=2', '48-36=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
15,
68,
1,
13
] | 97 | [
"15+68=83",
"1+13=14",
"83+14=97"
] | Current State: 97:[15, 68, 1, 13], Operations: []
Exploring Operation: 15+68=83, Resulting Numbers: [1, 13, 83]
Generated Node #2: [1, 13, 83] from Operation: 15+68=83
Current State: 97:[1, 13, 83], Operations: ['15+68=83']
Exploring Operation: 1+13=14, Resulting Numbers: [83, 14]
Generated Node #3: [83, 14] from Operation: 1+13=14
Current State: 97:[83, 14], Operations: ['15+68=83', '1+13=14']
Exploring Operation: 83+14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[15, 68, 1, 13], Operations: []
Exploring Operation: 15+68=83, Resulting Numbers: [1, 13, 83]
Generated Node #0,0: 97:[1, 13, 83] Operation: 15+68=83
Exploring Operation: 15+1=16, Resulting Numbers: [68, 13, 16]
Generated Node #0,1: 97:[68, 13, 16] Operation: 15+1=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[1, 13, 83], Operations: ['15+68=83']
Exploring Operation: 1+13=14, Resulting Numbers: [83, 14]
Generated Node #0,0,0: 97:[83, 14] Operation: 1+13=14
Exploring Operation: 1+83=84, Resulting Numbers: [13, 84]
Generated Node #0,0,1: 97:[13, 84] Operation: 1+83=84
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[83, 14], Operations: ['15+68=83', '1+13=14']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,97 unequal: No Solution
Exploring Operation: 83+14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[15, 68, 1, 13], Operations: []
Exploring Operation: 15+68=83, Resulting Numbers: [1, 13, 83]
Generated Node #0,0: 97:[1, 13, 83] Operation: 15+68=83
Moving to Node #0,0
Current State: 97:[1, 13, 83], Operations: ['15+68=83']
Exploring Operation: 1+13=14, Resulting Numbers: [83, 14]
Generated Node #0,0,0: 97:[83, 14] Operation: 1+13=14
Moving to Node #0,0,0
Current State: 97:[83, 14], Operations: ['15+68=83', '1+13=14']
Exploring Operation: 83+14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
1,
96,
77,
46
] | 26 | [
"1+96=97",
"77+46=123",
"123-97=26"
] | Current State: 26:[1, 96, 77, 46], Operations: []
Exploring Operation: 1+96=97, Resulting Numbers: [77, 46, 97]
Generated Node #2: [77, 46, 97] from Operation: 1+96=97
Current State: 26:[77, 46, 97], Operations: ['1+96=97']
Exploring Operation: 77+46=123, Resulting Numbers: [97, 123]
Generated Node #3: [97, 123] from Operation: 77+46=123
Current State: 26:[97, 123], Operations: ['1+96=97', '77+46=123']
Exploring Operation: 123-97=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[1, 96, 77, 46], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [77, 46, 95]
Generated Node #0,0: 26:[77, 46, 95] Operation: 96-1=95
Exploring Operation: 96-77=19, Resulting Numbers: [1, 46, 19]
Generated Node #0,1: 26:[1, 46, 19] Operation: 96-77=19
Exploring Operation: 96-46=50, Resulting Numbers: [1, 77, 50]
Generated Node #0,2: 26:[1, 77, 50] Operation: 96-46=50
Exploring Operation: 77-46=31, Resulting Numbers: [1, 96, 31]
Generated Node #0,3: 26:[1, 96, 31] Operation: 77-46=31
Exploring Operation: 77-1=76, Resulting Numbers: [96, 46, 76]
Generated Node #0,4: 26:[96, 46, 76] Operation: 77-1=76
Moving to Node #0,1
Current State: 26:[1, 46, 19], Operations: ['96-77=19']
Exploring Operation: 46/1=46, Resulting Numbers: [19, 46]
Generated Node #0,1,0: 26:[19, 46] Operation: 46/1=46
Exploring Operation: 1*46=46, Resulting Numbers: [19, 46]
Generated Node #0,1,1: 26:[19, 46] Operation: 1*46=46
Exploring Operation: 46-19=27, Resulting Numbers: [1, 27]
Generated Node #0,1,2: 26:[1, 27] Operation: 46-19=27
Exploring Operation: 46-1=45, Resulting Numbers: [19, 45]
Generated Node #0,1,3: 26:[19, 45] Operation: 46-1=45
Exploring Operation: 19-1=18, Resulting Numbers: [46, 18]
Generated Node #0,1,4: 26:[46, 18] Operation: 19-1=18
Moving to Node #0,3
Current State: 26:[1, 96, 31], Operations: ['77-46=31']
Exploring Operation: 96/1=96, Resulting Numbers: [31, 96]
Generated Node #0,3,0: 26:[31, 96] Operation: 96/1=96
Exploring Operation: 31-1=30, Resulting Numbers: [96, 30]
Generated Node #0,3,1: 26:[96, 30] Operation: 31-1=30
Exploring Operation: 96-1=95, Resulting Numbers: [31, 95]
Generated Node #0,3,2: 26:[31, 95] Operation: 96-1=95
Exploring Operation: 96-31=65, Resulting Numbers: [1, 65]
Generated Node #0,3,3: 26:[1, 65] Operation: 96-31=65
Exploring Operation: 1*96=96, Resulting Numbers: [31, 96]
Generated Node #0,3,4: 26:[31, 96] Operation: 1*96=96
Moving to Node #0,2
Current State: 26:[1, 77, 50], Operations: ['96-46=50']
Exploring Operation: 77/1=77, Resulting Numbers: [50, 77]
Generated Node #0,2,0: 26:[50, 77] Operation: 77/1=77
Exploring Operation: 77-1=76, Resulting Numbers: [50, 76]
Generated Node #0,2,1: 26:[50, 76] Operation: 77-1=76
Exploring Operation: 1*77=77, Resulting Numbers: [50, 77]
Generated Node #0,2,2: 26:[50, 77] Operation: 1*77=77
Exploring Operation: 77-50=27, Resulting Numbers: [1, 27]
Generated Node #0,2,3: 26:[1, 27] Operation: 77-50=27
Exploring Operation: 50-1=49, Resulting Numbers: [77, 49]
Generated Node #0,2,4: 26:[77, 49] Operation: 50-1=49
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 26:[1, 27], Operations: ['96-46=50', '77-50=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[1, 96, 77, 46], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [1, 77, 50]
Generated Node #0,2: 26:[1, 77, 50] Operation: 96-46=50
Moving to Node #0,2
Current State: 26:[1, 77, 50], Operations: ['96-46=50']
Exploring Operation: 77-50=27, Resulting Numbers: [1, 27]
Generated Node #0,2,3: 26:[1, 27] Operation: 77-50=27
Moving to Node #0,2,3
Current State: 26:[1, 27], Operations: ['96-46=50', '77-50=27']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | sum_heuristic |
[
37,
61,
54,
29
] | 73 | [
"37+61=98",
"54-29=25",
"98-25=73"
] | Current State: 73:[37, 61, 54, 29], Operations: []
Exploring Operation: 37+61=98, Resulting Numbers: [54, 29, 98]
Generated Node #2: [54, 29, 98] from Operation: 37+61=98
Current State: 73:[54, 29, 98], Operations: ['37+61=98']
Exploring Operation: 54-29=25, Resulting Numbers: [98, 25]
Generated Node #3: [98, 25] from Operation: 54-29=25
Current State: 73:[98, 25], Operations: ['37+61=98', '54-29=25']
Exploring Operation: 98-25=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[37, 61, 54, 29], Operations: []
Exploring Operation: 37+29=66, Resulting Numbers: [61, 54, 66]
Generated Node #0,0: 73:[61, 54, 66] Operation: 37+29=66
Exploring Operation: 54+29=83, Resulting Numbers: [37, 61, 83]
Generated Node #0,1: 73:[37, 61, 83] Operation: 54+29=83
Exploring Operation: 61+29=90, Resulting Numbers: [37, 54, 90]
Generated Node #0,2: 73:[37, 54, 90] Operation: 61+29=90
Exploring Operation: 37+61=98, Resulting Numbers: [54, 29, 98]
Generated Node #0,3: 73:[54, 29, 98] Operation: 37+61=98
Exploring Operation: 37+54=91, Resulting Numbers: [61, 29, 91]
Generated Node #0,4: 73:[61, 29, 91] Operation: 37+54=91
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[61, 54, 66], Operations: ['37+29=66']
Exploring Operation: 54+66=120, Resulting Numbers: [61, 120]
Generated Node #0,0,0: 73:[61, 120] Operation: 54+66=120
Exploring Operation: 61+54=115, Resulting Numbers: [66, 115]
Generated Node #0,0,1: 73:[66, 115] Operation: 61+54=115
Exploring Operation: 61-54=7, Resulting Numbers: [66, 7]
Generated Node #0,0,2: 73:[66, 7] Operation: 61-54=7
Exploring Operation: 61+66=127, Resulting Numbers: [54, 127]
Generated Node #0,0,3: 73:[54, 127] Operation: 61+66=127
Exploring Operation: 66-54=12, Resulting Numbers: [61, 12]
Generated Node #0,0,4: 73:[61, 12] Operation: 66-54=12
Moving to Node #0,0,1
Current State: 73:[66, 115], Operations: ['37+29=66', '61+54=115']
Exploring Operation: 66+115=181, Resulting Numbers: [181]
181,73 unequal: No Solution
Exploring Operation: 115-66=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 66*115=7590, Resulting Numbers: [7590]
7590,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[61, 120], Operations: ['37+29=66', '54+66=120']
Exploring Operation: 120-61=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Exploring Operation: 61*120=7320, Resulting Numbers: [7320]
7320,73 unequal: No Solution
Exploring Operation: 61+120=181, Resulting Numbers: [181]
181,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[66, 7], Operations: ['37+29=66', '61-54=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,73 unequal: No Solution
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[37, 61, 54, 29], Operations: []
Exploring Operation: 37+29=66, Resulting Numbers: [61, 54, 66]
Generated Node #0,0: 73:[61, 54, 66] Operation: 37+29=66
Moving to Node #0,0
Current State: 73:[61, 54, 66], Operations: ['37+29=66']
Exploring Operation: 61-54=7, Resulting Numbers: [66, 7]
Generated Node #0,0,2: 73:[66, 7] Operation: 61-54=7
Moving to Node #0,0,2
Current State: 73:[66, 7], Operations: ['37+29=66', '61-54=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
40,
70,
55,
56
] | 21 | [
"70-55=15",
"56*15=840",
"840/40=21"
] | Current State: 21:[40, 70, 55, 56], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [40, 56, 15]
Generated Node #2: [40, 56, 15] from Operation: 70-55=15
Current State: 21:[40, 56, 15], Operations: ['70-55=15']
Exploring Operation: 56*15=840, Resulting Numbers: [40, 840]
Generated Node #3: [40, 840] from Operation: 56*15=840
Current State: 21:[40, 840], Operations: ['70-55=15', '56*15=840']
Exploring Operation: 840/40=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[40, 70, 55, 56], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [40, 56, 15]
Generated Node #0,0: 21:[40, 56, 15] Operation: 70-55=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[40, 56, 15], Operations: ['70-55=15']
Exploring Operation: 56-40=16, Resulting Numbers: [15, 16]
Generated Node #0,0,0: 21:[15, 16] Operation: 56-40=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[15, 16], Operations: ['70-55=15', '56-40=16']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
27,
2,
51,
10
] | 34 | [
"27+51=78",
"78-10=68",
"68/2=34"
] | Current State: 34:[27, 2, 51, 10], Operations: []
Exploring Operation: 27+51=78, Resulting Numbers: [2, 10, 78]
Generated Node #2: [2, 10, 78] from Operation: 27+51=78
Current State: 34:[2, 10, 78], Operations: ['27+51=78']
Exploring Operation: 78-10=68, Resulting Numbers: [2, 68]
Generated Node #3: [2, 68] from Operation: 78-10=68
Current State: 34:[2, 68], Operations: ['27+51=78', '78-10=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[27, 2, 51, 10], Operations: []
Exploring Operation: 51-27=24, Resulting Numbers: [2, 10, 24]
Generated Node #0,0: 34:[2, 10, 24] Operation: 51-27=24
Exploring Operation: 51-10=41, Resulting Numbers: [27, 2, 41]
Generated Node #0,1: 34:[27, 2, 41] Operation: 51-10=41
Exploring Operation: 27-10=17, Resulting Numbers: [2, 51, 17]
Generated Node #0,2: 34:[2, 51, 17] Operation: 27-10=17
Exploring Operation: 27+10=37, Resulting Numbers: [2, 51, 37]
Generated Node #0,3: 34:[2, 51, 37] Operation: 27+10=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[2, 10, 24], Operations: ['51-27=24']
Exploring Operation: 10/2=5, Resulting Numbers: [24, 5]
Generated Node #0,0,0: 34:[24, 5] Operation: 10/2=5
Exploring Operation: 24-10=14, Resulting Numbers: [2, 14]
Generated Node #0,0,1: 34:[2, 14] Operation: 24-10=14
Exploring Operation: 2*10=20, Resulting Numbers: [24, 20]
Generated Node #0,0,2: 34:[24, 20] Operation: 2*10=20
Exploring Operation: 10+24=34, Resulting Numbers: [2, 34]
Generated Node #0,0,3: 34:[2, 34] Operation: 10+24=34
Moving to Node #0,0,3
Current State: 34:[2, 34], Operations: ['51-27=24', '10+24=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,34 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[2, 14], Operations: ['51-27=24', '24-10=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[24, 20], Operations: ['51-27=24', '2*10=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[24, 5], Operations: ['51-27=24', '10/2=5']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[27, 2, 41], Operations: ['51-10=41']
Exploring Operation: 27-2=25, Resulting Numbers: [41, 25]
Generated Node #0,1,0: 34:[41, 25] Operation: 27-2=25
Exploring Operation: 41-27=14, Resulting Numbers: [2, 14]
Generated Node #0,1,1: 34:[2, 14] Operation: 41-27=14
Exploring Operation: 27+2=29, Resulting Numbers: [41, 29]
Generated Node #0,1,2: 34:[41, 29] Operation: 27+2=29
Exploring Operation: 41-2=39, Resulting Numbers: [27, 39]
Generated Node #0,1,3: 34:[27, 39] Operation: 41-2=39
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[2, 14], Operations: ['51-10=41', '41-27=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,34 unequal: No Solution
No 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: 34:[41, 29], Operations: ['51-10=41', '27+2=29']
Exploring Operation: 41*29=1189, Resulting Numbers: [1189]
1189,34 unequal: No Solution
Exploring Operation: 41+29=70, Resulting Numbers: [70]
70,34 unequal: No Solution
Exploring Operation: 41-29=12, Resulting Numbers: [12]
12,34 unequal: No Solution
No 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: 34:[27, 39], Operations: ['51-10=41', '41-2=39']
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,34 unequal: No Solution
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,34 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,34 unequal: No Solution
No 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: 34:[41, 25], Operations: ['51-10=41', '27-2=25']
Exploring Operation: 41*25=1025, Resulting Numbers: [1025]
1025,34 unequal: No Solution
Exploring Operation: 41+25=66, Resulting Numbers: [66]
66,34 unequal: No Solution
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,34 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: 34:[2, 51, 17], Operations: ['27-10=17']
Exploring Operation: 2*17=34, Resulting Numbers: [51, 34]
Generated Node #0,2,0: 34:[51, 34] Operation: 2*17=34
Exploring Operation: 51/17=3, Resulting Numbers: [2, 3]
Generated Node #0,2,1: 34:[2, 3] Operation: 51/17=3
Exploring Operation: 51-17=34, Resulting Numbers: [2, 34]
Generated Node #0,2,2: 34:[2, 34] Operation: 51-17=34
Exploring Operation: 51-2=49, Resulting Numbers: [17, 49]
Generated Node #0,2,3: 34:[17, 49] Operation: 51-2=49
Moving to Node #0,2,2
Current State: 34:[2, 34], Operations: ['27-10=17', '51-17=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,34 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[2, 3], Operations: ['27-10=17', '51/17=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[17, 49], Operations: ['27-10=17', '51-2=49']
Exploring Operation: 17+49=66, Resulting Numbers: [66]
66,34 unequal: No Solution
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,34 unequal: No Solution
Exploring Operation: 17*49=833, Resulting Numbers: [833]
833,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[51, 34], Operations: ['27-10=17', '2*17=34']
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 51*34=1734, Resulting Numbers: [1734]
1734,34 unequal: No Solution
Exploring Operation: 51+34=85, Resulting Numbers: [85]
85,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 34:[2, 51, 37], Operations: ['27+10=37']
Exploring Operation: 37-2=35, Resulting Numbers: [51, 35]
Generated Node #0,3,0: 34:[51, 35] Operation: 37-2=35
Exploring Operation: 51-2=49, Resulting Numbers: [37, 49]
Generated Node #0,3,1: 34:[37, 49] Operation: 51-2=49
Exploring Operation: 51-37=14, Resulting Numbers: [2, 14]
Generated Node #0,3,2: 34:[2, 14] Operation: 51-37=14
Exploring Operation: 2+51=53, Resulting Numbers: [37, 53]
Generated Node #0,3,3: 34:[37, 53] Operation: 2+51=53
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 34:[2, 14], Operations: ['27+10=37', '51-37=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,34 unequal: No Solution
No 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: 34:[51, 35], Operations: ['27+10=37', '37-2=35']
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 51*35=1785, Resulting Numbers: [1785]
1785,34 unequal: No Solution
Exploring Operation: 51+35=86, Resulting Numbers: [86]
86,34 unequal: No Solution
No 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: 34:[37, 49], Operations: ['27+10=37', '51-2=49']
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 37*49=1813, Resulting Numbers: [1813]
1813,34 unequal: No Solution
Exploring Operation: 37+49=86, Resulting Numbers: [86]
86,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 34:[37, 53], Operations: ['27+10=37', '2+51=53']
Exploring Operation: 37+53=90, Resulting Numbers: [90]
90,34 unequal: No Solution
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 37*53=1961, Resulting Numbers: [1961]
1961,34 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 |
[
69,
43,
62,
76
] | 98 | [
"69+43=112",
"76-62=14",
"112-14=98"
] | Current State: 98:[69, 43, 62, 76], Operations: []
Exploring Operation: 69+43=112, Resulting Numbers: [62, 76, 112]
Generated Node #2: [62, 76, 112] from Operation: 69+43=112
Current State: 98:[62, 76, 112], Operations: ['69+43=112']
Exploring Operation: 76-62=14, Resulting Numbers: [112, 14]
Generated Node #3: [112, 14] from Operation: 76-62=14
Current State: 98:[112, 14], Operations: ['69+43=112', '76-62=14']
Exploring Operation: 112-14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[69, 43, 62, 76], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [43, 62, 7]
Generated Node #0,0: 98:[43, 62, 7] Operation: 76-69=7
Exploring Operation: 69-62=7, Resulting Numbers: [43, 76, 7]
Generated Node #0,1: 98:[43, 76, 7] Operation: 69-62=7
Exploring Operation: 62-43=19, Resulting Numbers: [69, 76, 19]
Generated Node #0,2: 98:[69, 76, 19] Operation: 62-43=19
Exploring Operation: 69-43=26, Resulting Numbers: [62, 76, 26]
Generated Node #0,3: 98:[62, 76, 26] Operation: 69-43=26
Exploring Operation: 76-62=14, Resulting Numbers: [69, 43, 14]
Generated Node #0,4: 98:[69, 43, 14] Operation: 76-62=14
Moving to Node #0,0
Current State: 98:[43, 62, 7], Operations: ['76-69=7']
Exploring Operation: 43+62=105, Resulting Numbers: [7, 105]
Generated Node #0,0,0: 98:[7, 105] Operation: 43+62=105
Exploring Operation: 62-7=55, Resulting Numbers: [43, 55]
Generated Node #0,0,1: 98:[43, 55] Operation: 62-7=55
Exploring Operation: 62-43=19, Resulting Numbers: [7, 19]
Generated Node #0,0,2: 98:[7, 19] Operation: 62-43=19
Exploring Operation: 43-7=36, Resulting Numbers: [62, 36]
Generated Node #0,0,3: 98:[62, 36] Operation: 43-7=36
Exploring Operation: 43+7=50, Resulting Numbers: [62, 50]
Generated Node #0,0,4: 98:[62, 50] Operation: 43+7=50
Moving to Node #0,4
Current State: 98:[69, 43, 14], Operations: ['76-62=14']
Exploring Operation: 69-43=26, Resulting Numbers: [14, 26]
Generated Node #0,4,0: 98:[14, 26] Operation: 69-43=26
Exploring Operation: 69-14=55, Resulting Numbers: [43, 55]
Generated Node #0,4,1: 98:[43, 55] Operation: 69-14=55
Exploring Operation: 69+43=112, Resulting Numbers: [14, 112]
Generated Node #0,4,2: 98:[14, 112] Operation: 69+43=112
Exploring Operation: 43+14=57, Resulting Numbers: [69, 57]
Generated Node #0,4,3: 98:[69, 57] Operation: 43+14=57
Exploring Operation: 69+14=83, Resulting Numbers: [43, 83]
Generated Node #0,4,4: 98:[43, 83] Operation: 69+14=83
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 98:[14, 26], Operations: ['76-62=14', '69-43=26']
Exploring Operation: 14+26=40, Resulting Numbers: [40]
40,98 unequal: No Solution
Exploring Operation: 14*26=364, Resulting Numbers: [364]
364,98 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 98:[43, 55], Operations: ['76-62=14', '69-14=55']
Exploring Operation: 43+55=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[69, 43, 62, 76], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [69, 43, 14]
Generated Node #0,4: 98:[69, 43, 14] Operation: 76-62=14
Moving to Node #0,4
Current State: 98:[69, 43, 14], Operations: ['76-62=14']
Exploring Operation: 69-14=55, Resulting Numbers: [43, 55]
Generated Node #0,4,1: 98:[43, 55] Operation: 69-14=55
Moving to Node #0,4,1
Current State: 98:[43, 55], Operations: ['76-62=14', '69-14=55']
Exploring Operation: 43+55=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
69,
28,
2,
32
] | 67 | [
"69+28=97",
"32-2=30",
"97-30=67"
] | Current State: 67:[69, 28, 2, 32], Operations: []
Exploring Operation: 69+28=97, Resulting Numbers: [2, 32, 97]
Generated Node #2: [2, 32, 97] from Operation: 69+28=97
Current State: 67:[2, 32, 97], Operations: ['69+28=97']
Exploring Operation: 32-2=30, Resulting Numbers: [97, 30]
Generated Node #3: [97, 30] from Operation: 32-2=30
Current State: 67:[97, 30], Operations: ['69+28=97', '32-2=30']
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[69, 28, 2, 32], Operations: []
Exploring Operation: 28*2=56, Resulting Numbers: [69, 32, 56]
Generated Node #0,0: 67:[69, 32, 56] Operation: 28*2=56
Exploring Operation: 69-2=67, Resulting Numbers: [28, 32, 67]
Generated Node #0,1: 67:[28, 32, 67] Operation: 69-2=67
Exploring Operation: 2*32=64, Resulting Numbers: [69, 28, 64]
Generated Node #0,2: 67:[69, 28, 64] Operation: 2*32=64
Moving to Node #0,2
Current State: 67:[69, 28, 64], Operations: ['2*32=64']
Exploring Operation: 28+64=92, Resulting Numbers: [69, 92]
Generated Node #0,2,0: 67:[69, 92] Operation: 28+64=92
Exploring Operation: 69-28=41, Resulting Numbers: [64, 41]
Generated Node #0,2,1: 67:[64, 41] Operation: 69-28=41
Exploring Operation: 69+28=97, Resulting Numbers: [64, 97]
Generated Node #0,2,2: 67:[64, 97] Operation: 69+28=97
Moving to Node #0,0
Current State: 67:[69, 32, 56], Operations: ['28*2=56']
Exploring Operation: 69-32=37, Resulting Numbers: [56, 37]
Generated Node #0,0,0: 67:[56, 37] Operation: 69-32=37
Exploring Operation: 69+32=101, Resulting Numbers: [56, 101]
Generated Node #0,0,1: 67:[56, 101] Operation: 69+32=101
Exploring Operation: 32+56=88, Resulting Numbers: [69, 88]
Generated Node #0,0,2: 67:[69, 88] Operation: 32+56=88
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 67:[69, 88], Operations: ['28*2=56', '32+56=88']
Exploring Operation: 88-69=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 69+88=157, Resulting Numbers: [157]
157,67 unequal: No Solution
Exploring Operation: 69*88=6072, Resulting Numbers: [6072]
6072,67 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:[56, 37], Operations: ['28*2=56', '69-32=37']
Exploring Operation: 56*37=2072, Resulting Numbers: [2072]
2072,67 unequal: No Solution
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,67 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 #0,0,1
Current State: 67:[56, 101], Operations: ['28*2=56', '69+32=101']
Exploring Operation: 101-56=45, Resulting Numbers: [45]
45,67 unequal: No Solution
Exploring Operation: 56*101=5656, Resulting Numbers: [5656]
5656,67 unequal: No Solution
Exploring Operation: 56+101=157, Resulting Numbers: [157]
157,67 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:[28, 32, 67], Operations: ['69-2=67']
Exploring Operation: 28+32=60, Resulting Numbers: [67, 60]
Generated Node #0,1,0: 67:[67, 60] Operation: 28+32=60
Exploring Operation: 32-28=4, Resulting Numbers: [67, 4]
Generated Node #0,1,1: 67:[67, 4] Operation: 32-28=4
Exploring Operation: 28+67=95, Resulting Numbers: [32, 95]
Generated Node #0,1,2: 67:[32, 95] Operation: 28+67=95
Moving to Node #0,1,0
Current State: 67:[67, 60], Operations: ['69-2=67', '28+32=60']
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,67 unequal: No Solution
Exploring Operation: 67*60=4020, Resulting Numbers: [4020]
4020,67 unequal: No Solution
Exploring Operation: 67+60=127, Resulting Numbers: [127]
127,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[69, 92], Operations: ['2*32=64', '28+64=92']
Exploring Operation: 69*92=6348, Resulting Numbers: [6348]
6348,67 unequal: No Solution
Exploring Operation: 92-69=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 69+92=161, Resulting Numbers: [161]
161,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[64, 41], Operations: ['2*32=64', '69-28=41']
Exploring Operation: 64*41=2624, Resulting Numbers: [2624]
2624,67 unequal: No Solution
Exploring Operation: 64+41=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 64-41=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[64, 97], Operations: ['2*32=64', '69+28=97']
Exploring Operation: 97-64=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Exploring Operation: 64*97=6208, Resulting Numbers: [6208]
6208,67 unequal: No Solution
Exploring Operation: 64+97=161, Resulting Numbers: [161]
161,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[32, 95], Operations: ['69-2=67', '28+67=95']
Exploring Operation: 32*95=3040, Resulting Numbers: [3040]
3040,67 unequal: No Solution
Exploring Operation: 95-32=63, Resulting Numbers: [63]
63,67 unequal: No Solution
Exploring Operation: 32+95=127, Resulting Numbers: [127]
127,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[67, 4], Operations: ['69-2=67', '32-28=4']
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,67 unequal: No Solution
Exploring Operation: 67*4=268, Resulting Numbers: [268]
268,67 unequal: No Solution
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,67 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
85,
35,
43,
7
] | 29 | [
"85-43=42",
"42/7=6",
"35-6=29"
] | Current State: 29:[85, 35, 43, 7], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [35, 7, 42]
Generated Node #2: [35, 7, 42] from Operation: 85-43=42
Current State: 29:[35, 7, 42], Operations: ['85-43=42']
Exploring Operation: 42/7=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 42/7=6
Current State: 29:[35, 6], Operations: ['85-43=42', '42/7=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[85, 35, 43, 7], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [35, 7, 42]
Generated Node #0,0: 29:[35, 7, 42] Operation: 85-43=42
Exploring Operation: 85-35=50, Resulting Numbers: [43, 7, 50]
Generated Node #0,1: 29:[43, 7, 50] Operation: 85-35=50
Exploring Operation: 43-7=36, Resulting Numbers: [85, 35, 36]
Generated Node #0,2: 29:[85, 35, 36] Operation: 43-7=36
Exploring Operation: 85-7=78, Resulting Numbers: [35, 43, 78]
Generated Node #0,3: 29:[35, 43, 78] Operation: 85-7=78
Exploring Operation: 35-7=28, Resulting Numbers: [85, 43, 28]
Generated Node #0,4: 29:[85, 43, 28] Operation: 35-7=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[35, 7, 42], Operations: ['85-43=42']
Exploring Operation: 42/7=6, Resulting Numbers: [35, 6]
Generated Node #0,0,0: 29:[35, 6] Operation: 42/7=6
Exploring Operation: 42-7=35, Resulting Numbers: [35, 35]
Generated Node #0,0,1: 29:[35, 35] Operation: 42-7=35
Exploring Operation: 35-7=28, Resulting Numbers: [42, 28]
Generated Node #0,0,2: 29:[42, 28] Operation: 35-7=28
Exploring Operation: 35+7=42, Resulting Numbers: [42, 42]
Generated Node #0,0,3: 29:[42, 42] Operation: 35+7=42
Exploring Operation: 7+42=49, Resulting Numbers: [35, 49]
Generated Node #0,0,4: 29:[35, 49] Operation: 7+42=49
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 29:[35, 35], Operations: ['85-43=42', '42-7=35']
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 35*35=1225, Resulting Numbers: [1225]
1225,29 unequal: No Solution
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,29 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 #0,0,2
Current State: 29:[42, 28], Operations: ['85-43=42', '35-7=28']
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,29 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,29 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 #0,0,3
Current State: 29:[42, 42], Operations: ['85-43=42', '35+7=42']
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,29 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,29 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 #0,0,4
Current State: 29:[35, 49], Operations: ['85-43=42', '7+42=49']
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,29 unequal: No Solution
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,29 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 #0,0,0
Current State: 29:[35, 6], Operations: ['85-43=42', '42/7=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[85, 35, 43, 7], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [35, 7, 42]
Generated Node #0,0: 29:[35, 7, 42] Operation: 85-43=42
Moving to Node #0,0
Current State: 29:[35, 7, 42], Operations: ['85-43=42']
Exploring Operation: 42/7=6, Resulting Numbers: [35, 6]
Generated Node #0,0,0: 29:[35, 6] Operation: 42/7=6
Moving to Node #0,0,0
Current State: 29:[35, 6], Operations: ['85-43=42', '42/7=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 | hs_5 | mult_heuristic |
[
86,
49,
64,
23
] | 48 | [
"86+49=135",
"64+23=87",
"135-87=48"
] | Current State: 48:[86, 49, 64, 23], Operations: []
Exploring Operation: 86+49=135, Resulting Numbers: [64, 23, 135]
Generated Node #2: [64, 23, 135] from Operation: 86+49=135
Current State: 48:[64, 23, 135], Operations: ['86+49=135']
Exploring Operation: 64+23=87, Resulting Numbers: [135, 87]
Generated Node #3: [135, 87] from Operation: 64+23=87
Current State: 48:[135, 87], Operations: ['86+49=135', '64+23=87']
Exploring Operation: 135-87=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[86, 49, 64, 23], Operations: []
Exploring Operation: 86-64=22, Resulting Numbers: [49, 23, 22]
Generated Node #0,0: 48:[49, 23, 22] Operation: 86-64=22
Exploring Operation: 86-49=37, Resulting Numbers: [64, 23, 37]
Generated Node #0,1: 48:[64, 23, 37] Operation: 86-49=37
Moving to Node #0,0
Current State: 48:[49, 23, 22], Operations: ['86-64=22']
Exploring Operation: 23-22=1, Resulting Numbers: [49, 1]
Generated Node #0,0,0: 48:[49, 1] Operation: 23-22=1
Exploring Operation: 49-23=26, Resulting Numbers: [22, 26]
Generated Node #0,0,1: 48:[22, 26] Operation: 49-23=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[49, 1], Operations: ['86-64=22', '23-22=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[86, 49, 64, 23], Operations: []
Exploring Operation: 86-64=22, Resulting Numbers: [49, 23, 22]
Generated Node #0,0: 48:[49, 23, 22] Operation: 86-64=22
Moving to Node #0,0
Current State: 48:[49, 23, 22], Operations: ['86-64=22']
Exploring Operation: 23-22=1, Resulting Numbers: [49, 1]
Generated Node #0,0,0: 48:[49, 1] Operation: 23-22=1
Moving to Node #0,0,0
Current State: 48:[49, 1], Operations: ['86-64=22', '23-22=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
7,
3,
57,
9
] | 93 | [
"7-3=4",
"9*4=36",
"57+36=93"
] | Current State: 93:[7, 3, 57, 9], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [57, 9, 4]
Generated Node #2: [57, 9, 4] from Operation: 7-3=4
Current State: 93:[57, 9, 4], Operations: ['7-3=4']
Exploring Operation: 9*4=36, Resulting Numbers: [57, 36]
Generated Node #3: [57, 36] from Operation: 9*4=36
Current State: 93:[57, 36], Operations: ['7-3=4', '9*4=36']
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[7, 3, 57, 9], Operations: []
Exploring Operation: 57/3=19, Resulting Numbers: [7, 9, 19]
Generated Node #0,0: 93:[7, 9, 19] Operation: 57/3=19
Exploring Operation: 9-7=2, Resulting Numbers: [3, 57, 2]
Generated Node #0,1: 93:[3, 57, 2] Operation: 9-7=2
Exploring Operation: 57-9=48, Resulting Numbers: [7, 3, 48]
Generated Node #0,2: 93:[7, 3, 48] Operation: 57-9=48
Exploring Operation: 57-7=50, Resulting Numbers: [3, 9, 50]
Generated Node #0,3: 93:[3, 9, 50] Operation: 57-7=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[7, 3, 48], Operations: ['57-9=48']
Exploring Operation: 7-3=4, Resulting Numbers: [48, 4]
Generated Node #0,2,0: 93:[48, 4] Operation: 7-3=4
Exploring Operation: 48-3=45, Resulting Numbers: [7, 45]
Generated Node #0,2,1: 93:[7, 45] Operation: 48-3=45
Exploring Operation: 48-7=41, Resulting Numbers: [3, 41]
Generated Node #0,2,2: 93:[3, 41] Operation: 48-7=41
Exploring Operation: 48/3=16, Resulting Numbers: [7, 16]
Generated Node #0,2,3: 93:[7, 16] Operation: 48/3=16
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 93:[3, 41], Operations: ['57-9=48', '48-7=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,93 unequal: No Solution
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,93 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 93:[7, 16], Operations: ['57-9=48', '48/3=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 93:[48, 4], Operations: ['57-9=48', '7-3=4']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[7, 45], Operations: ['57-9=48', '48-3=45']
Exploring Operation: 7*45=315, Resulting Numbers: [315]
315,93 unequal: No Solution
Exploring Operation: 7+45=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[7, 9, 19], Operations: ['57/3=19']
Exploring Operation: 9+19=28, Resulting Numbers: [7, 28]
Generated Node #0,0,0: 93:[7, 28] Operation: 9+19=28
Exploring Operation: 7+19=26, Resulting Numbers: [9, 26]
Generated Node #0,0,1: 93:[9, 26] Operation: 7+19=26
Exploring Operation: 9-7=2, Resulting Numbers: [19, 2]
Generated Node #0,0,2: 93:[19, 2] Operation: 9-7=2
Exploring Operation: 19-9=10, Resulting Numbers: [7, 10]
Generated Node #0,0,3: 93:[7, 10] Operation: 19-9=10
Moving to Node #0,0,0
Current State: 93:[7, 28], Operations: ['57/3=19', '9+19=28']
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,93 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[7, 10], Operations: ['57/3=19', '19-9=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[9, 26], Operations: ['57/3=19', '7+19=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[19, 2], Operations: ['57/3=19', '9-7=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,93 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[3, 9, 50], Operations: ['57-7=50']
Exploring Operation: 50-9=41, Resulting Numbers: [3, 41]
Generated Node #0,3,0: 93:[3, 41] Operation: 50-9=41
Exploring Operation: 50-3=47, Resulting Numbers: [9, 47]
Generated Node #0,3,1: 93:[9, 47] Operation: 50-3=47
Exploring Operation: 9-3=6, Resulting Numbers: [50, 6]
Generated Node #0,3,2: 93:[50, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [50, 3]
Generated Node #0,3,3: 93:[50, 3] Operation: 9/3=3
Moving to Node #0,3,0
Current State: 93:[3, 41], Operations: ['57-7=50', '50-9=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,93 unequal: No Solution
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[50, 3], Operations: ['57-7=50', '9/3=3']
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,93 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,93 unequal: No Solution
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[50, 6], Operations: ['57-7=50', '9-3=6']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 50*6=300, Resulting Numbers: [300]
300,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[9, 47], Operations: ['57-7=50', '50-3=47']
Exploring Operation: 9*47=423, Resulting Numbers: [423]
423,93 unequal: No Solution
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[3, 57, 2], Operations: ['9-7=2']
Exploring Operation: 57-2=55, Resulting Numbers: [3, 55]
Generated Node #0,1,0: 93:[3, 55] Operation: 57-2=55
Exploring Operation: 57/3=19, Resulting Numbers: [2, 19]
Generated Node #0,1,1: 93:[2, 19] Operation: 57/3=19
Exploring Operation: 57-3=54, Resulting Numbers: [2, 54]
Generated Node #0,1,2: 93:[2, 54] Operation: 57-3=54
Exploring Operation: 57*2=114, Resulting Numbers: [3, 114]
Generated Node #0,1,3: 93:[3, 114] Operation: 57*2=114
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[2, 19], Operations: ['9-7=2', '57/3=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,93 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 93:[3, 114], Operations: ['9-7=2', '57*2=114']
Exploring Operation: 3*114=342, Resulting Numbers: [342]
342,93 unequal: No Solution
Exploring Operation: 3+114=117, Resulting Numbers: [117]
117,93 unequal: No Solution
Exploring Operation: 114-3=111, Resulting Numbers: [111]
111,93 unequal: No Solution
Exploring Operation: 114/3=38, Resulting Numbers: [38]
38,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[3, 55], Operations: ['9-7=2', '57-2=55']
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,93 unequal: No Solution
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[2, 54], Operations: ['9-7=2', '57-3=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,93 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
31,
56,
43,
5
] | 13 | [
"56-31=25",
"43-5=38",
"38-25=13"
] | Current State: 13:[31, 56, 43, 5], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [43, 5, 25]
Generated Node #2: [43, 5, 25] from Operation: 56-31=25
Current State: 13:[43, 5, 25], Operations: ['56-31=25']
Exploring Operation: 43-5=38, Resulting Numbers: [25, 38]
Generated Node #3: [25, 38] from Operation: 43-5=38
Current State: 13:[25, 38], Operations: ['56-31=25', '43-5=38']
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[31, 56, 43, 5], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [31, 5, 13]
Generated Node #0,0: 13:[31, 5, 13] Operation: 56-43=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[31, 5, 13], Operations: ['56-43=13']
Exploring Operation: 31-5=26, Resulting Numbers: [13, 26]
Generated Node #0,0,0: 13:[13, 26] Operation: 31-5=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 13:[13, 26], Operations: ['56-43=13', '31-5=26']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[31, 56, 43, 5], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [31, 5, 13]
Generated Node #0,0: 13:[31, 5, 13] Operation: 56-43=13
Moving to Node #0,0
Current State: 13:[31, 5, 13], Operations: ['56-43=13']
Exploring Operation: 31-5=26, Resulting Numbers: [13, 26]
Generated Node #0,0,0: 13:[13, 26] Operation: 31-5=26
Moving to Node #0,0,0
Current State: 13:[13, 26], Operations: ['56-43=13', '31-5=26']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
35,
42,
72,
1
] | 66 | [
"42-35=7",
"72+1=73",
"73-7=66"
] | Current State: 66:[35, 42, 72, 1], Operations: []
Exploring Operation: 42-35=7, Resulting Numbers: [72, 1, 7]
Generated Node #2: [72, 1, 7] from Operation: 42-35=7
Current State: 66:[72, 1, 7], Operations: ['42-35=7']
Exploring Operation: 72+1=73, Resulting Numbers: [7, 73]
Generated Node #3: [7, 73] from Operation: 72+1=73
Current State: 66:[7, 73], Operations: ['42-35=7', '72+1=73']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[35, 42, 72, 1], Operations: []
Exploring Operation: 35-1=34, Resulting Numbers: [42, 72, 34]
Generated Node #0,0: 66:[42, 72, 34] Operation: 35-1=34
Exploring Operation: 42-1=41, Resulting Numbers: [35, 72, 41]
Generated Node #0,1: 66:[35, 72, 41] Operation: 42-1=41
Exploring Operation: 42-35=7, Resulting Numbers: [72, 1, 7]
Generated Node #0,2: 66:[72, 1, 7] Operation: 42-35=7
Exploring Operation: 72-35=37, Resulting Numbers: [42, 1, 37]
Generated Node #0,3: 66:[42, 1, 37] Operation: 72-35=37
Exploring Operation: 72-42=30, Resulting Numbers: [35, 1, 30]
Generated Node #0,4: 66:[35, 1, 30] Operation: 72-42=30
Moving to Node #0,4
Current State: 66:[35, 1, 30], Operations: ['72-42=30']
Exploring Operation: 35*1=35, Resulting Numbers: [30, 35]
Generated Node #0,4,0: 66:[30, 35] Operation: 35*1=35
Exploring Operation: 35+30=65, Resulting Numbers: [1, 65]
Generated Node #0,4,1: 66:[1, 65] Operation: 35+30=65
Exploring Operation: 35-30=5, Resulting Numbers: [1, 5]
Generated Node #0,4,2: 66:[1, 5] Operation: 35-30=5
Exploring Operation: 35-1=34, Resulting Numbers: [30, 34]
Generated Node #0,4,3: 66:[30, 34] Operation: 35-1=34
Exploring Operation: 1+30=31, Resulting Numbers: [35, 31]
Generated Node #0,4,4: 66:[35, 31] Operation: 1+30=31
Moving to Node #0,2
Current State: 66:[72, 1, 7], Operations: ['42-35=7']
Exploring Operation: 72/1=72, Resulting Numbers: [7, 72]
Generated Node #0,2,0: 66:[7, 72] Operation: 72/1=72
Exploring Operation: 72-7=65, Resulting Numbers: [1, 65]
Generated Node #0,2,1: 66:[1, 65] Operation: 72-7=65
Exploring Operation: 7-1=6, Resulting Numbers: [72, 6]
Generated Node #0,2,2: 66:[72, 6] Operation: 7-1=6
Exploring Operation: 72-1=71, Resulting Numbers: [7, 71]
Generated Node #0,2,3: 66:[7, 71] Operation: 72-1=71
Exploring Operation: 72*1=72, Resulting Numbers: [7, 72]
Generated Node #0,2,4: 66:[7, 72] Operation: 72*1=72
Moving to Node #0,3
Current State: 66:[42, 1, 37], Operations: ['72-35=37']
Exploring Operation: 37-1=36, Resulting Numbers: [42, 36]
Generated Node #0,3,0: 66:[42, 36] Operation: 37-1=36
Exploring Operation: 42-37=5, Resulting Numbers: [1, 5]
Generated Node #0,3,1: 66:[1, 5] Operation: 42-37=5
Exploring Operation: 42*1=42, Resulting Numbers: [37, 42]
Generated Node #0,3,2: 66:[37, 42] Operation: 42*1=42
Exploring Operation: 42-1=41, Resulting Numbers: [37, 41]
Generated Node #0,3,3: 66:[37, 41] Operation: 42-1=41
Exploring Operation: 42/1=42, Resulting Numbers: [37, 42]
Generated Node #0,3,4: 66:[37, 42] Operation: 42/1=42
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[1, 5], Operations: ['72-35=37', '42-37=5']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 66:[42, 36], Operations: ['72-35=37', '37-1=36']
Exploring Operation: 42-36=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 42+36=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 42*36=1512, Resulting Numbers: [1512]
1512,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 66:[37, 41], Operations: ['72-35=37', '42-1=41']
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 37*41=1517, Resulting Numbers: [1517]
1517,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 66:[37, 42], Operations: ['72-35=37', '42*1=42']
Exploring Operation: 37+42=79, Resulting Numbers: [79]
79,66 unequal: No Solution
Exploring Operation: 37*42=1554, Resulting Numbers: [1554]
1554,66 unequal: No Solution
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 66:[37, 42], Operations: ['72-35=37', '42/1=42']
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 37+42=79, Resulting Numbers: [79]
79,66 unequal: No Solution
Exploring Operation: 37*42=1554, Resulting Numbers: [1554]
1554,66 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: 66:[42, 72, 34], Operations: ['35-1=34']
Exploring Operation: 72-42=30, Resulting Numbers: [34, 30]
Generated Node #0,0,0: 66:[34, 30] Operation: 72-42=30
Exploring Operation: 42-34=8, Resulting Numbers: [72, 8]
Generated Node #0,0,1: 66:[72, 8] Operation: 42-34=8
Exploring Operation: 42+34=76, Resulting Numbers: [72, 76]
Generated Node #0,0,2: 66:[72, 76] Operation: 42+34=76
Exploring Operation: 72-34=38, Resulting Numbers: [42, 38]
Generated Node #0,0,3: 66:[42, 38] Operation: 72-34=38
Exploring Operation: 42+72=114, Resulting Numbers: [34, 114]
Generated Node #0,0,4: 66:[34, 114] Operation: 42+72=114
Moving to Node #0,1
Current State: 66:[35, 72, 41], Operations: ['42-1=41']
Exploring Operation: 35+72=107, Resulting Numbers: [41, 107]
Generated Node #0,1,0: 66:[41, 107] Operation: 35+72=107
Exploring Operation: 41-35=6, Resulting Numbers: [72, 6]
Generated Node #0,1,1: 66:[72, 6] Operation: 41-35=6
Exploring Operation: 35+41=76, Resulting Numbers: [72, 76]
Generated Node #0,1,2: 66:[72, 76] Operation: 35+41=76
Exploring Operation: 72-41=31, Resulting Numbers: [35, 31]
Generated Node #0,1,3: 66:[35, 31] Operation: 72-41=31
Exploring Operation: 72-35=37, Resulting Numbers: [41, 37]
Generated Node #0,1,4: 66:[41, 37] Operation: 72-35=37
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 66:[35, 31], Operations: ['42-1=41', '72-41=31']
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[35, 42, 72, 1], Operations: []
Exploring Operation: 42-1=41, Resulting Numbers: [35, 72, 41]
Generated Node #0,1: 66:[35, 72, 41] Operation: 42-1=41
Moving to Node #0,1
Current State: 66:[35, 72, 41], Operations: ['42-1=41']
Exploring Operation: 72-41=31, Resulting Numbers: [35, 31]
Generated Node #0,1,3: 66:[35, 31] Operation: 72-41=31
Moving to Node #0,1,3
Current State: 66:[35, 31], Operations: ['42-1=41', '72-41=31']
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_5 | mult_heuristic |
[
11,
3,
27,
84
] | 65 | [
"11-3=8",
"84-27=57",
"8+57=65"
] | Current State: 65:[11, 3, 27, 84], Operations: []
Exploring Operation: 11-3=8, Resulting Numbers: [27, 84, 8]
Generated Node #2: [27, 84, 8] from Operation: 11-3=8
Current State: 65:[27, 84, 8], Operations: ['11-3=8']
Exploring Operation: 84-27=57, Resulting Numbers: [8, 57]
Generated Node #3: [8, 57] from Operation: 84-27=57
Current State: 65:[8, 57], Operations: ['11-3=8', '84-27=57']
Exploring Operation: 8+57=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[11, 3, 27, 84], Operations: []
Exploring Operation: 27-11=16, Resulting Numbers: [3, 84, 16]
Generated Node #0,0: 65:[3, 84, 16] Operation: 27-11=16
Exploring Operation: 84-27=57, Resulting Numbers: [11, 3, 57]
Generated Node #0,1: 65:[11, 3, 57] Operation: 84-27=57
Moving to Node #0,1
Current State: 65:[11, 3, 57], Operations: ['84-27=57']
Exploring Operation: 3+57=60, Resulting Numbers: [11, 60]
Generated Node #0,1,0: 65:[11, 60] Operation: 3+57=60
Exploring Operation: 11+57=68, Resulting Numbers: [3, 68]
Generated Node #0,1,1: 65:[3, 68] Operation: 11+57=68
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[3, 68], Operations: ['84-27=57', '11+57=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[11, 3, 27, 84], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [11, 3, 57]
Generated Node #0,1: 65:[11, 3, 57] Operation: 84-27=57
Moving to Node #0,1
Current State: 65:[11, 3, 57], Operations: ['84-27=57']
Exploring Operation: 11+57=68, Resulting Numbers: [3, 68]
Generated Node #0,1,1: 65:[3, 68] Operation: 11+57=68
Moving to Node #0,1,1
Current State: 65:[3, 68], Operations: ['84-27=57', '11+57=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
9,
62,
92,
5
] | 85 | [
"9-5=4",
"92/4=23",
"62+23=85"
] | Current State: 85:[9, 62, 92, 5], Operations: []
Exploring Operation: 9-5=4, Resulting Numbers: [62, 92, 4]
Generated Node #2: [62, 92, 4] from Operation: 9-5=4
Current State: 85:[62, 92, 4], Operations: ['9-5=4']
Exploring Operation: 92/4=23, Resulting Numbers: [62, 23]
Generated Node #3: [62, 23] from Operation: 92/4=23
Current State: 85:[62, 23], Operations: ['9-5=4', '92/4=23']
Exploring Operation: 62+23=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[9, 62, 92, 5], Operations: []
Exploring Operation: 92-62=30, Resulting Numbers: [9, 5, 30]
Generated Node #0,0: 85:[9, 5, 30] Operation: 92-62=30
Moving to Node #0,0
Current State: 85:[9, 5, 30], Operations: ['92-62=30']
Exploring Operation: 30-9=21, Resulting Numbers: [5, 21]
Generated Node #0,0,0: 85:[5, 21] Operation: 30-9=21
Moving to Node #0,0,0
Current State: 85:[5, 21], Operations: ['92-62=30', '30-9=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,85 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
44,
80,
7,
74
] | 31 | [
"80-44=36",
"74-7=67",
"67-36=31"
] | Current State: 31:[44, 80, 7, 74], Operations: []
Exploring Operation: 80-44=36, Resulting Numbers: [7, 74, 36]
Generated Node #2: [7, 74, 36] from Operation: 80-44=36
Current State: 31:[7, 74, 36], Operations: ['80-44=36']
Exploring Operation: 74-7=67, Resulting Numbers: [36, 67]
Generated Node #3: [36, 67] from Operation: 74-7=67
Current State: 31:[36, 67], Operations: ['80-44=36', '74-7=67']
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[44, 80, 7, 74], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [44, 7, 6]
Generated Node #0,0: 31:[44, 7, 6] Operation: 80-74=6
Moving to Node #0,0
Current State: 31:[44, 7, 6], Operations: ['80-74=6']
Exploring Operation: 7*6=42, Resulting Numbers: [44, 42]
Generated Node #0,0,0: 31:[44, 42] Operation: 7*6=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[44, 42], Operations: ['80-74=6', '7*6=42']
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
59,
5,
3
] | 70 | [
"15*3=45",
"59-45=14",
"5*14=70"
] | Current State: 70:[15, 59, 5, 3], Operations: []
Exploring Operation: 15*3=45, Resulting Numbers: [59, 5, 45]
Generated Node #2: [59, 5, 45] from Operation: 15*3=45
Current State: 70:[59, 5, 45], Operations: ['15*3=45']
Exploring Operation: 59-45=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 59-45=14
Current State: 70:[5, 14], Operations: ['15*3=45', '59-45=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[15, 59, 5, 3], Operations: []
Exploring Operation: 59-15=44, Resulting Numbers: [5, 3, 44]
Generated Node #0,0: 70:[5, 3, 44] Operation: 59-15=44
Exploring Operation: 59+5=64, Resulting Numbers: [15, 3, 64]
Generated Node #0,1: 70:[15, 3, 64] Operation: 59+5=64
Exploring Operation: 15+59=74, Resulting Numbers: [5, 3, 74]
Generated Node #0,2: 70:[5, 3, 74] Operation: 15+59=74
Exploring Operation: 59+3=62, Resulting Numbers: [15, 5, 62]
Generated Node #0,3: 70:[15, 5, 62] Operation: 59+3=62
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[5, 3, 74], Operations: ['15+59=74']
Exploring Operation: 74-3=71, Resulting Numbers: [5, 71]
Generated Node #0,2,0: 70:[5, 71] Operation: 74-3=71
Exploring Operation: 5-3=2, Resulting Numbers: [74, 2]
Generated Node #0,2,1: 70:[74, 2] Operation: 5-3=2
Exploring Operation: 74-5=69, Resulting Numbers: [3, 69]
Generated Node #0,2,2: 70:[3, 69] Operation: 74-5=69
Exploring Operation: 5+3=8, Resulting Numbers: [74, 8]
Generated Node #0,2,3: 70:[74, 8] Operation: 5+3=8
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 70:[5, 71], Operations: ['15+59=74', '74-3=71']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,70 unequal: No Solution
Exploring Operation: 5+71=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Exploring Operation: 5*71=355, Resulting Numbers: [355]
355,70 unequal: No Solution
No 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: 70:[3, 69], Operations: ['15+59=74', '74-5=69']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,70 unequal: No Solution
Exploring Operation: 3*69=207, Resulting Numbers: [207]
207,70 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Exploring Operation: 3+69=72, Resulting Numbers: [72]
72,70 unequal: No Solution
No 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: 70:[74, 2], Operations: ['15+59=74', '5-3=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,70 unequal: No Solution
Exploring Operation: 74*2=148, Resulting Numbers: [148]
148,70 unequal: No Solution
No 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: 70:[74, 8], Operations: ['15+59=74', '5+3=8']
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,70 unequal: No Solution
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,70 unequal: No Solution
Exploring Operation: 74*8=592, Resulting Numbers: [592]
592,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[15, 3, 64], Operations: ['59+5=64']
Exploring Operation: 15-3=12, Resulting Numbers: [64, 12]
Generated Node #0,1,0: 70:[64, 12] Operation: 15-3=12
Exploring Operation: 15+3=18, Resulting Numbers: [64, 18]
Generated Node #0,1,1: 70:[64, 18] Operation: 15+3=18
Exploring Operation: 15/3=5, Resulting Numbers: [64, 5]
Generated Node #0,1,2: 70:[64, 5] Operation: 15/3=5
Exploring Operation: 3+64=67, Resulting Numbers: [15, 67]
Generated Node #0,1,3: 70:[15, 67] Operation: 3+64=67
Moving to Node #0,1,3
Current State: 70:[15, 67], Operations: ['59+5=64', '3+64=67']
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,70 unequal: No Solution
Exploring Operation: 15*67=1005, Resulting Numbers: [1005]
1005,70 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[64, 5], Operations: ['59+5=64', '15/3=5']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 64*5=320, Resulting Numbers: [320]
320,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[64, 12], Operations: ['59+5=64', '15-3=12']
Exploring Operation: 64+12=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,70 unequal: No Solution
Exploring Operation: 64*12=768, Resulting Numbers: [768]
768,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[64, 18], Operations: ['59+5=64', '15+3=18']
Exploring Operation: 64+18=82, Resulting Numbers: [82]
82,70 unequal: No Solution
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 64*18=1152, Resulting Numbers: [1152]
1152,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 70:[15, 5, 62], Operations: ['59+3=62']
Exploring Operation: 15-5=10, Resulting Numbers: [62, 10]
Generated Node #0,3,0: 70:[62, 10] Operation: 15-5=10
Exploring Operation: 15/5=3, Resulting Numbers: [62, 3]
Generated Node #0,3,1: 70:[62, 3] Operation: 15/5=3
Exploring Operation: 5+62=67, Resulting Numbers: [15, 67]
Generated Node #0,3,2: 70:[15, 67] Operation: 5+62=67
Exploring Operation: 15+62=77, Resulting Numbers: [5, 77]
Generated Node #0,3,3: 70:[5, 77] Operation: 15+62=77
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 70:[15, 67], Operations: ['59+3=62', '5+62=67']
Exploring Operation: 15*67=1005, Resulting Numbers: [1005]
1005,70 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,70 unequal: No Solution
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 70:[5, 77], Operations: ['59+3=62', '15+62=77']
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,70 unequal: No Solution
Exploring Operation: 5*77=385, Resulting Numbers: [385]
385,70 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,70 unequal: No Solution
No 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: 70:[62, 10], Operations: ['59+3=62', '15-5=10']
Exploring Operation: 62*10=620, Resulting Numbers: [620]
620,70 unequal: No Solution
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,70 unequal: No Solution
Exploring Operation: 62+10=72, Resulting Numbers: [72]
72,70 unequal: No Solution
No 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: 70:[62, 3], Operations: ['59+3=62', '15/5=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,70 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[5, 3, 44], Operations: ['59-15=44']
Exploring Operation: 44-5=39, Resulting Numbers: [3, 39]
Generated Node #0,0,0: 70:[3, 39] Operation: 44-5=39
Exploring Operation: 5-3=2, Resulting Numbers: [44, 2]
Generated Node #0,0,1: 70:[44, 2] Operation: 5-3=2
Exploring Operation: 5+3=8, Resulting Numbers: [44, 8]
Generated Node #0,0,2: 70:[44, 8] Operation: 5+3=8
Exploring Operation: 44-3=41, Resulting Numbers: [5, 41]
Generated Node #0,0,3: 70:[5, 41] Operation: 44-3=41
Moving to Node #0,0,0
Current State: 70:[3, 39], Operations: ['59-15=44', '44-5=39']
Exploring Operation: 3*39=117, Resulting Numbers: [117]
117,70 unequal: No Solution
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Moving to Node #0,0,3
Current State: 70:[5, 41], Operations: ['59-15=44', '44-3=41']
Exploring Operation: 5*41=205, Resulting Numbers: [205]
205,70 unequal: No Solution
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[44, 2], Operations: ['59-15=44', '5-3=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,70 unequal: No Solution
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Moving to Node #0,0,2
Current State: 70:[44, 8], Operations: ['59-15=44', '5+3=8']
Exploring Operation: 44*8=352, Resulting Numbers: [352]
352,70 unequal: No Solution
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,70 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
98,
85,
37,
24
] | 83 | [
"98-24=74",
"74/37=2",
"85-2=83"
] | Current State: 83:[98, 85, 37, 24], Operations: []
Exploring Operation: 98-24=74, Resulting Numbers: [85, 37, 74]
Generated Node #2: [85, 37, 74] from Operation: 98-24=74
Current State: 83:[85, 37, 74], Operations: ['98-24=74']
Exploring Operation: 74/37=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 74/37=2
Current State: 83:[85, 2], Operations: ['98-24=74', '74/37=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[98, 85, 37, 24], Operations: []
Exploring Operation: 37+24=61, Resulting Numbers: [98, 85, 61]
Generated Node #0,0: 83:[98, 85, 61] Operation: 37+24=61
Exploring Operation: 98-37=61, Resulting Numbers: [85, 24, 61]
Generated Node #0,1: 83:[85, 24, 61] Operation: 98-37=61
Exploring Operation: 85-24=61, Resulting Numbers: [98, 37, 61]
Generated Node #0,2: 83:[98, 37, 61] Operation: 85-24=61
Exploring Operation: 98-24=74, Resulting Numbers: [85, 37, 74]
Generated Node #0,3: 83:[85, 37, 74] Operation: 98-24=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[98, 85, 61], Operations: ['37+24=61']
Exploring Operation: 98+61=159, Resulting Numbers: [85, 159]
Generated Node #0,0,0: 83:[85, 159] Operation: 98+61=159
Exploring Operation: 98-61=37, Resulting Numbers: [85, 37]
Generated Node #0,0,1: 83:[85, 37] Operation: 98-61=37
Exploring Operation: 85-61=24, Resulting Numbers: [98, 24]
Generated Node #0,0,2: 83:[98, 24] Operation: 85-61=24
Exploring Operation: 85+61=146, Resulting Numbers: [98, 146]
Generated Node #0,0,3: 83:[98, 146] Operation: 85+61=146
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[85, 37], Operations: ['37+24=61', '98-61=37']
Exploring Operation: 85+37=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 85*37=3145, Resulting Numbers: [3145]
3145,83 unequal: No Solution
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[98, 24], Operations: ['37+24=61', '85-61=24']
Exploring Operation: 98*24=2352, Resulting Numbers: [2352]
2352,83 unequal: No Solution
Exploring Operation: 98+24=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 98-24=74, Resulting Numbers: [74]
74,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[85, 159], Operations: ['37+24=61', '98+61=159']
Exploring Operation: 85*159=13515, Resulting Numbers: [13515]
13515,83 unequal: No Solution
Exploring Operation: 85+159=244, Resulting Numbers: [244]
244,83 unequal: No Solution
Exploring Operation: 159-85=74, Resulting Numbers: [74]
74,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[98, 146], Operations: ['37+24=61', '85+61=146']
Exploring Operation: 98*146=14308, Resulting Numbers: [14308]
14308,83 unequal: No Solution
Exploring Operation: 98+146=244, Resulting Numbers: [244]
244,83 unequal: No Solution
Exploring Operation: 146-98=48, Resulting Numbers: [48]
48,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[85, 37, 74], Operations: ['98-24=74']
Exploring Operation: 85+37=122, Resulting Numbers: [74, 122]
Generated Node #0,3,0: 83:[74, 122] Operation: 85+37=122
Exploring Operation: 37+74=111, Resulting Numbers: [85, 111]
Generated Node #0,3,1: 83:[85, 111] Operation: 37+74=111
Exploring Operation: 74-37=37, Resulting Numbers: [85, 37]
Generated Node #0,3,2: 83:[85, 37] Operation: 74-37=37
Exploring Operation: 85-37=48, Resulting Numbers: [74, 48]
Generated Node #0,3,3: 83:[74, 48] Operation: 85-37=48
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 83:[85, 111], Operations: ['98-24=74', '37+74=111']
Exploring Operation: 111-85=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 85*111=9435, Resulting Numbers: [9435]
9435,83 unequal: No Solution
Exploring Operation: 85+111=196, Resulting Numbers: [196]
196,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[74, 48], Operations: ['98-24=74', '85-37=48']
Exploring Operation: 74*48=3552, Resulting Numbers: [3552]
3552,83 unequal: No Solution
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 74+48=122, Resulting Numbers: [122]
122,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[74, 122], Operations: ['98-24=74', '85+37=122']
Exploring Operation: 122-74=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 74*122=9028, Resulting Numbers: [9028]
9028,83 unequal: No Solution
Exploring Operation: 74+122=196, Resulting Numbers: [196]
196,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[85, 37], Operations: ['98-24=74', '74-37=37']
Exploring Operation: 85*37=3145, Resulting Numbers: [3145]
3145,83 unequal: No Solution
Exploring Operation: 85+37=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[85, 24, 61], Operations: ['98-37=61']
Exploring Operation: 24+61=85, Resulting Numbers: [85, 85]
Generated Node #0,1,0: 83:[85, 85] Operation: 24+61=85
Exploring Operation: 61-24=37, Resulting Numbers: [85, 37]
Generated Node #0,1,1: 83:[85, 37] Operation: 61-24=37
Exploring Operation: 85-24=61, Resulting Numbers: [61, 61]
Generated Node #0,1,2: 83:[61, 61] Operation: 85-24=61
Exploring Operation: 85+24=109, Resulting Numbers: [61, 109]
Generated Node #0,1,3: 83:[61, 109] Operation: 85+24=109
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[85, 85], Operations: ['98-37=61', '24+61=85']
Exploring Operation: 85-85=0, Resulting Numbers: [0]
0,83 unequal: No Solution
Exploring Operation: 85*85=7225, Resulting Numbers: [7225]
7225,83 unequal: No Solution
Exploring Operation: 85+85=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 85/85=1, Resulting Numbers: [1]
1,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[61, 61], Operations: ['98-37=61', '85-24=61']
Exploring Operation: 61/61=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 61+61=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 61*61=3721, Resulting Numbers: [3721]
3721,83 unequal: No Solution
Exploring Operation: 61-61=0, Resulting Numbers: [0]
0,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[85, 37], Operations: ['98-37=61', '61-24=37']
Exploring Operation: 85+37=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 85*37=3145, Resulting Numbers: [3145]
3145,83 unequal: No Solution
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[61, 109], Operations: ['98-37=61', '85+24=109']
Exploring Operation: 61+109=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 61*109=6649, Resulting Numbers: [6649]
6649,83 unequal: No Solution
Exploring Operation: 109-61=48, Resulting Numbers: [48]
48,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[98, 37, 61], Operations: ['85-24=61']
Exploring Operation: 37+61=98, Resulting Numbers: [98, 98]
Generated Node #0,2,0: 83:[98, 98] Operation: 37+61=98
Exploring Operation: 98-37=61, Resulting Numbers: [61, 61]
Generated Node #0,2,1: 83:[61, 61] Operation: 98-37=61
Exploring Operation: 98+37=135, Resulting Numbers: [61, 135]
Generated Node #0,2,2: 83:[61, 135] Operation: 98+37=135
Exploring Operation: 61-37=24, Resulting Numbers: [98, 24]
Generated Node #0,2,3: 83:[98, 24] Operation: 61-37=24
Moving to Node #0,2,0
Current State: 83:[98, 98], Operations: ['85-24=61', '37+61=98']
Exploring Operation: 98/98=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 98-98=0, Resulting Numbers: [0]
0,83 unequal: No Solution
Exploring Operation: 98+98=196, Resulting Numbers: [196]
196,83 unequal: No Solution
Exploring Operation: 98*98=9604, Resulting Numbers: [9604]
9604,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[61, 61], Operations: ['85-24=61', '98-37=61']
Exploring Operation: 61*61=3721, Resulting Numbers: [3721]
3721,83 unequal: No Solution
Exploring Operation: 61+61=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 61-61=0, Resulting Numbers: [0]
0,83 unequal: No Solution
Exploring Operation: 61/61=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[98, 24], Operations: ['85-24=61', '61-37=24']
Exploring Operation: 98+24=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 98-24=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 98*24=2352, Resulting Numbers: [2352]
2352,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[61, 135], Operations: ['85-24=61', '98+37=135']
Exploring Operation: 61+135=196, Resulting Numbers: [196]
196,83 unequal: No Solution
Exploring Operation: 61*135=8235, Resulting Numbers: [8235]
8235,83 unequal: No Solution
Exploring Operation: 135-61=74, Resulting Numbers: [74]
74,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
6,
37,
34,
68
] | 25 | [
"6*68=408",
"408/34=12",
"37-12=25"
] | Current State: 25:[6, 37, 34, 68], Operations: []
Exploring Operation: 6*68=408, Resulting Numbers: [37, 34, 408]
Generated Node #2: [37, 34, 408] from Operation: 6*68=408
Current State: 25:[37, 34, 408], Operations: ['6*68=408']
Exploring Operation: 408/34=12, Resulting Numbers: [37, 12]
Generated Node #3: [37, 12] from Operation: 408/34=12
Current State: 25:[37, 12], Operations: ['6*68=408', '408/34=12']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[6, 37, 34, 68], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [6, 68, 3]
Generated Node #0,0: 25:[6, 68, 3] Operation: 37-34=3
Exploring Operation: 68/34=2, Resulting Numbers: [6, 37, 2]
Generated Node #0,1: 25:[6, 37, 2] Operation: 68/34=2
Exploring Operation: 68-34=34, Resulting Numbers: [6, 37, 34]
Generated Node #0,2: 25:[6, 37, 34] Operation: 68-34=34
Exploring Operation: 37-6=31, Resulting Numbers: [34, 68, 31]
Generated Node #0,3: 25:[34, 68, 31] Operation: 37-6=31
Exploring Operation: 68-37=31, Resulting Numbers: [6, 34, 31]
Generated Node #0,4: 25:[6, 34, 31] Operation: 68-37=31
Moving to Node #0,1
Current State: 25:[6, 37, 2], Operations: ['68/34=2']
Exploring Operation: 6-2=4, Resulting Numbers: [37, 4]
Generated Node #0,1,0: 25:[37, 4] Operation: 6-2=4
Exploring Operation: 6+2=8, Resulting Numbers: [37, 8]
Generated Node #0,1,1: 25:[37, 8] Operation: 6+2=8
Exploring Operation: 37-6=31, Resulting Numbers: [2, 31]
Generated Node #0,1,2: 25:[2, 31] Operation: 37-6=31
Exploring Operation: 37-2=35, Resulting Numbers: [6, 35]
Generated Node #0,1,3: 25:[6, 35] Operation: 37-2=35
Exploring Operation: 6/2=3, Resulting Numbers: [37, 3]
Generated Node #0,1,4: 25:[37, 3] Operation: 6/2=3
Moving to Node #0,4
Current State: 25:[6, 34, 31], Operations: ['68-37=31']
Exploring Operation: 6+34=40, Resulting Numbers: [31, 40]
Generated Node #0,4,0: 25:[31, 40] Operation: 6+34=40
Exploring Operation: 34-6=28, Resulting Numbers: [31, 28]
Generated Node #0,4,1: 25:[31, 28] Operation: 34-6=28
Exploring Operation: 31-6=25, Resulting Numbers: [34, 25]
Generated Node #0,4,2: 25:[34, 25] Operation: 31-6=25
Exploring Operation: 34-31=3, Resulting Numbers: [6, 3]
Generated Node #0,4,3: 25:[6, 3] Operation: 34-31=3
Exploring Operation: 6+31=37, Resulting Numbers: [34, 37]
Generated Node #0,4,4: 25:[34, 37] Operation: 6+31=37
Moving to Node #0,2
Current State: 25:[6, 37, 34], Operations: ['68-34=34']
Exploring Operation: 37-6=31, Resulting Numbers: [34, 31]
Generated Node #0,2,0: 25:[34, 31] Operation: 37-6=31
Exploring Operation: 6+34=40, Resulting Numbers: [37, 40]
Generated Node #0,2,1: 25:[37, 40] Operation: 6+34=40
Exploring Operation: 37-34=3, Resulting Numbers: [6, 3]
Generated Node #0,2,2: 25:[6, 3] Operation: 37-34=3
Exploring Operation: 34-6=28, Resulting Numbers: [37, 28]
Generated Node #0,2,3: 25:[37, 28] Operation: 34-6=28
Exploring Operation: 6+37=43, Resulting Numbers: [34, 43]
Generated Node #0,2,4: 25:[34, 43] Operation: 6+37=43
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[6, 3], Operations: ['68-34=34', '37-34=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,25 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:[34, 31], Operations: ['68-34=34', '37-6=31']
Exploring Operation: 34+31=65, Resulting Numbers: [65]
65,25 unequal: No Solution
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 34*31=1054, Resulting Numbers: [1054]
1054,25 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:[37, 28], Operations: ['68-34=34', '34-6=28']
Exploring Operation: 37*28=1036, Resulting Numbers: [1036]
1036,25 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 37+28=65, Resulting Numbers: [65]
65,25 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:[37, 40], Operations: ['68-34=34', '6+34=40']
Exploring Operation: 37+40=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Exploring Operation: 40-37=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 37*40=1480, Resulting Numbers: [1480]
1480,25 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 #0,2,4
Current State: 25:[34, 43], Operations: ['68-34=34', '6+37=43']
Exploring Operation: 34*43=1462, Resulting Numbers: [1462]
1462,25 unequal: No Solution
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,25 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: 25:[6, 68, 3], Operations: ['37-34=3']
Exploring Operation: 6-3=3, Resulting Numbers: [68, 3]
Generated Node #0,0,0: 25:[68, 3] Operation: 6-3=3
Exploring Operation: 68-3=65, Resulting Numbers: [6, 65]
Generated Node #0,0,1: 25:[6, 65] Operation: 68-3=65
Exploring Operation: 68-6=62, Resulting Numbers: [3, 62]
Generated Node #0,0,2: 25:[3, 62] Operation: 68-6=62
Exploring Operation: 6+3=9, Resulting Numbers: [68, 9]
Generated Node #0,0,3: 25:[68, 9] Operation: 6+3=9
Exploring Operation: 6/3=2, Resulting Numbers: [68, 2]
Generated Node #0,0,4: 25:[68, 2] Operation: 6/3=2
Moving to Node #0,3
Current State: 25:[34, 68, 31], Operations: ['37-6=31']
Exploring Operation: 68/34=2, Resulting Numbers: [31, 2]
Generated Node #0,3,0: 25:[31, 2] Operation: 68/34=2
Exploring Operation: 68-34=34, Resulting Numbers: [31, 34]
Generated Node #0,3,1: 25:[31, 34] Operation: 68-34=34
Exploring Operation: 68-31=37, Resulting Numbers: [34, 37]
Generated Node #0,3,2: 25:[34, 37] Operation: 68-31=37
Exploring Operation: 34-31=3, Resulting Numbers: [68, 3]
Generated Node #0,3,3: 25:[68, 3] Operation: 34-31=3
Exploring Operation: 34+68=102, Resulting Numbers: [31, 102]
Generated Node #0,3,4: 25:[31, 102] Operation: 34+68=102
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[31, 2], Operations: ['37-6=31', '68/34=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,25 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:[31, 34], Operations: ['37-6=31', '68-34=34']
Exploring Operation: 31*34=1054, Resulting Numbers: [1054]
1054,25 unequal: No Solution
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 31+34=65, Resulting Numbers: [65]
65,25 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 #0,3,2
Current State: 25:[34, 37], Operations: ['37-6=31', '68-31=37']
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 34*37=1258, Resulting Numbers: [1258]
1258,25 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,25 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:[68, 3], Operations: ['37-6=31', '34-31=3']
Exploring Operation: 68*3=204, Resulting Numbers: [204]
204,25 unequal: No Solution
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,25 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 #0,3,4
Current State: 25:[31, 102], Operations: ['37-6=31', '34+68=102']
Exploring Operation: 102-31=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 31+102=133, Resulting Numbers: [133]
133,25 unequal: No Solution
Exploring Operation: 31*102=3162, Resulting Numbers: [3162]
3162,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,3
Current State: 25:[6, 3], Operations: ['68-37=31', '34-31=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[2, 31], Operations: ['68/34=2', '37-6=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Moving to Node #0,4,1
Current State: 25:[31, 28], Operations: ['68-37=31', '34-6=28']
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,25 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[34, 25], Operations: ['68-37=31', '31-6=25']
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 34*25=850, Resulting Numbers: [850]
850,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[6, 35], Operations: ['68/34=2', '37-2=35']
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Exploring Operation: 6*35=210, Resulting Numbers: [210]
210,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[37, 4], Operations: ['68/34=2', '6-2=4']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 37*4=148, Resulting Numbers: [148]
148,25 unequal: No Solution
Moving to Node #0,1,4
Current State: 25:[37, 3], Operations: ['68/34=2', '6/2=3']
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,25 unequal: No Solution
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,25 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[37, 8], Operations: ['68/34=2', '6+2=8']
Exploring Operation: 37*8=296, Resulting Numbers: [296]
296,25 unequal: No Solution
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Moving to Node #0,4,4
Current State: 25:[34, 37], Operations: ['68-37=31', '6+31=37']
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 34*37=1258, Resulting Numbers: [1258]
1258,25 unequal: No Solution
Moving to Node #0,4,0
Current State: 25:[31, 40], Operations: ['68-37=31', '6+34=40']
Exploring Operation: 31+40=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 31*40=1240, Resulting Numbers: [1240]
1240,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[3, 62], Operations: ['37-34=3', '68-6=62']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,25 unequal: No Solution
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[6, 65], Operations: ['37-34=3', '68-3=65']
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[68, 3], Operations: ['37-34=3', '6-3=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,25 unequal: No Solution
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 68*3=204, Resulting Numbers: [204]
204,25 unequal: No Solution
Moving to Node #0,0,4
Current State: 25:[68, 2], Operations: ['37-34=3', '6/3=2']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,25 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,25 unequal: No Solution
Exploring Operation: 68*2=136, Resulting Numbers: [136]
136,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[68, 9], Operations: ['37-34=3', '6+3=9']
Exploring Operation: 68*9=612, Resulting Numbers: [612]
612,25 unequal: No Solution
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,25 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
75,
51,
54,
41
] | 11 | [
"75-51=24",
"54-41=13",
"24-13=11"
] | Current State: 11:[75, 51, 54, 41], Operations: []
Exploring Operation: 75-51=24, Resulting Numbers: [54, 41, 24]
Generated Node #2: [54, 41, 24] from Operation: 75-51=24
Current State: 11:[54, 41, 24], Operations: ['75-51=24']
Exploring Operation: 54-41=13, Resulting Numbers: [24, 13]
Generated Node #3: [24, 13] from Operation: 54-41=13
Current State: 11:[24, 13], Operations: ['75-51=24', '54-41=13']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[75, 51, 54, 41], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [51, 41, 21]
Generated Node #0,0: 11:[51, 41, 21] Operation: 75-54=21
Exploring Operation: 75-51=24, Resulting Numbers: [54, 41, 24]
Generated Node #0,1: 11:[54, 41, 24] Operation: 75-51=24
Moving to Node #0,0
Current State: 11:[51, 41, 21], Operations: ['75-54=21']
Exploring Operation: 51-21=30, Resulting Numbers: [41, 30]
Generated Node #0,0,0: 11:[41, 30] Operation: 51-21=30
Exploring Operation: 51-41=10, Resulting Numbers: [21, 10]
Generated Node #0,0,1: 11:[21, 10] Operation: 51-41=10
Moving to Node #0,1
Current State: 11:[54, 41, 24], Operations: ['75-51=24']
Exploring Operation: 54-41=13, Resulting Numbers: [24, 13]
Generated Node #0,1,0: 11:[24, 13] Operation: 54-41=13
Exploring Operation: 54-24=30, Resulting Numbers: [41, 30]
Generated Node #0,1,1: 11:[41, 30] Operation: 54-24=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[24, 13], Operations: ['75-51=24', '54-41=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[75, 51, 54, 41], Operations: []
Exploring Operation: 75-51=24, Resulting Numbers: [54, 41, 24]
Generated Node #0,1: 11:[54, 41, 24] Operation: 75-51=24
Moving to Node #0,1
Current State: 11:[54, 41, 24], Operations: ['75-51=24']
Exploring Operation: 54-41=13, Resulting Numbers: [24, 13]
Generated Node #0,1,0: 11:[24, 13] Operation: 54-41=13
Moving to Node #0,1,0
Current State: 11:[24, 13], Operations: ['75-51=24', '54-41=13']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
64,
13,
4,
50
] | 53 | [
"64/4=16",
"50-13=37",
"16+37=53"
] | Current State: 53:[64, 13, 4, 50], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [13, 50, 16]
Generated Node #2: [13, 50, 16] from Operation: 64/4=16
Current State: 53:[13, 50, 16], Operations: ['64/4=16']
Exploring Operation: 50-13=37, Resulting Numbers: [16, 37]
Generated Node #3: [16, 37] from Operation: 50-13=37
Current State: 53:[16, 37], Operations: ['64/4=16', '50-13=37']
Exploring Operation: 16+37=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[64, 13, 4, 50], Operations: []
Exploring Operation: 13*4=52, Resulting Numbers: [64, 50, 52]
Generated Node #0,0: 53:[64, 50, 52] Operation: 13*4=52
Exploring Operation: 64-4=60, Resulting Numbers: [13, 50, 60]
Generated Node #0,1: 53:[13, 50, 60] Operation: 64-4=60
Exploring Operation: 13+4=17, Resulting Numbers: [64, 50, 17]
Generated Node #0,2: 53:[64, 50, 17] Operation: 13+4=17
Exploring Operation: 64-13=51, Resulting Numbers: [4, 50, 51]
Generated Node #0,3: 53:[4, 50, 51] Operation: 64-13=51
Exploring Operation: 4+50=54, Resulting Numbers: [64, 13, 54]
Generated Node #0,4: 53:[64, 13, 54] Operation: 4+50=54
Moving to Node #0,0
Current State: 53:[64, 50, 52], Operations: ['13*4=52']
Exploring Operation: 64+50=114, Resulting Numbers: [52, 114]
Generated Node #0,0,0: 53:[52, 114] Operation: 64+50=114
Exploring Operation: 50+52=102, Resulting Numbers: [64, 102]
Generated Node #0,0,1: 53:[64, 102] Operation: 50+52=102
Exploring Operation: 64-52=12, Resulting Numbers: [50, 12]
Generated Node #0,0,2: 53:[50, 12] Operation: 64-52=12
Exploring Operation: 52-50=2, Resulting Numbers: [64, 2]
Generated Node #0,0,3: 53:[64, 2] Operation: 52-50=2
Exploring Operation: 64-50=14, Resulting Numbers: [52, 14]
Generated Node #0,0,4: 53:[52, 14] Operation: 64-50=14
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 53:[52, 14], Operations: ['13*4=52', '64-50=14']
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,53 unequal: No Solution
Exploring Operation: 52*14=728, Resulting Numbers: [728]
728,53 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[50, 12], Operations: ['13*4=52', '64-52=12']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,53 unequal: No Solution
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,53 unequal: No Solution
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[64, 102], Operations: ['13*4=52', '50+52=102']
Exploring Operation: 64*102=6528, Resulting Numbers: [6528]
6528,53 unequal: No Solution
Exploring Operation: 102-64=38, Resulting Numbers: [38]
38,53 unequal: No Solution
Exploring Operation: 64+102=166, Resulting Numbers: [166]
166,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[52, 114], Operations: ['13*4=52', '64+50=114']
Exploring Operation: 52+114=166, Resulting Numbers: [166]
166,53 unequal: No Solution
Exploring Operation: 52*114=5928, Resulting Numbers: [5928]
5928,53 unequal: No Solution
Exploring Operation: 114-52=62, Resulting Numbers: [62]
62,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 53:[64, 2], Operations: ['13*4=52', '52-50=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,53 unequal: No Solution
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,53 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,53 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 53:[64, 50, 17], Operations: ['13+4=17']
Exploring Operation: 50+17=67, Resulting Numbers: [64, 67]
Generated Node #0,2,0: 53:[64, 67] Operation: 50+17=67
Exploring Operation: 50-17=33, Resulting Numbers: [64, 33]
Generated Node #0,2,1: 53:[64, 33] Operation: 50-17=33
Exploring Operation: 64-17=47, Resulting Numbers: [50, 47]
Generated Node #0,2,2: 53:[50, 47] Operation: 64-17=47
Exploring Operation: 64+17=81, Resulting Numbers: [50, 81]
Generated Node #0,2,3: 53:[50, 81] Operation: 64+17=81
Exploring Operation: 64-50=14, Resulting Numbers: [17, 14]
Generated Node #0,2,4: 53:[17, 14] Operation: 64-50=14
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[50, 47], Operations: ['13+4=17', '64-17=47']
Exploring Operation: 50*47=2350, Resulting Numbers: [2350]
2350,53 unequal: No Solution
Exploring Operation: 50+47=97, Resulting Numbers: [97]
97,53 unequal: No Solution
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[64, 67], Operations: ['13+4=17', '50+17=67']
Exploring Operation: 67-64=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 64+67=131, Resulting Numbers: [131]
131,53 unequal: No Solution
Exploring Operation: 64*67=4288, Resulting Numbers: [4288]
4288,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[64, 33], Operations: ['13+4=17', '50-17=33']
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,53 unequal: No Solution
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,53 unequal: No Solution
Exploring Operation: 64*33=2112, Resulting Numbers: [2112]
2112,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 53:[50, 81], Operations: ['13+4=17', '64+17=81']
Exploring Operation: 50*81=4050, Resulting Numbers: [4050]
4050,53 unequal: No Solution
Exploring Operation: 50+81=131, Resulting Numbers: [131]
131,53 unequal: No Solution
Exploring Operation: 81-50=31, Resulting Numbers: [31]
31,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 53:[17, 14], Operations: ['13+4=17', '64-50=14']
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,53 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,53 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,53 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: 53:[13, 50, 60], Operations: ['64-4=60']
Exploring Operation: 13+60=73, Resulting Numbers: [50, 73]
Generated Node #0,1,0: 53:[50, 73] Operation: 13+60=73
Exploring Operation: 13+50=63, Resulting Numbers: [60, 63]
Generated Node #0,1,1: 53:[60, 63] Operation: 13+50=63
Exploring Operation: 50-13=37, Resulting Numbers: [60, 37]
Generated Node #0,1,2: 53:[60, 37] Operation: 50-13=37
Exploring Operation: 60-13=47, Resulting Numbers: [50, 47]
Generated Node #0,1,3: 53:[50, 47] Operation: 60-13=47
Exploring Operation: 60-50=10, Resulting Numbers: [13, 10]
Generated Node #0,1,4: 53:[13, 10] Operation: 60-50=10
Moving to Node #0,4
Current State: 53:[64, 13, 54], Operations: ['4+50=54']
Exploring Operation: 64+13=77, Resulting Numbers: [54, 77]
Generated Node #0,4,0: 53:[54, 77] Operation: 64+13=77
Exploring Operation: 64-13=51, Resulting Numbers: [54, 51]
Generated Node #0,4,1: 53:[54, 51] Operation: 64-13=51
Exploring Operation: 13+54=67, Resulting Numbers: [64, 67]
Generated Node #0,4,2: 53:[64, 67] Operation: 13+54=67
Exploring Operation: 54-13=41, Resulting Numbers: [64, 41]
Generated Node #0,4,3: 53:[64, 41] Operation: 54-13=41
Exploring Operation: 64-54=10, Resulting Numbers: [13, 10]
Generated Node #0,4,4: 53:[13, 10] Operation: 64-54=10
Moving to Node #0,3
Current State: 53:[4, 50, 51], Operations: ['64-13=51']
Exploring Operation: 50+51=101, Resulting Numbers: [4, 101]
Generated Node #0,3,0: 53:[4, 101] Operation: 50+51=101
Exploring Operation: 51-4=47, Resulting Numbers: [50, 47]
Generated Node #0,3,1: 53:[50, 47] Operation: 51-4=47
Exploring Operation: 4+51=55, Resulting Numbers: [50, 55]
Generated Node #0,3,2: 53:[50, 55] Operation: 4+51=55
Exploring Operation: 50-4=46, Resulting Numbers: [51, 46]
Generated Node #0,3,3: 53:[51, 46] Operation: 50-4=46
Exploring Operation: 4+50=54, Resulting Numbers: [51, 54]
Generated Node #0,3,4: 53:[51, 54] Operation: 4+50=54
Moving to Node #0,4,1
Current State: 53:[54, 51], Operations: ['4+50=54', '64-13=51']
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 54+51=105, Resulting Numbers: [105]
105,53 unequal: No Solution
Exploring Operation: 54*51=2754, Resulting Numbers: [2754]
2754,53 unequal: No Solution
Moving to Node #0,3,4
Current State: 53:[51, 54], Operations: ['64-13=51', '4+50=54']
Exploring Operation: 51+54=105, Resulting Numbers: [105]
105,53 unequal: No Solution
Exploring Operation: 51*54=2754, Resulting Numbers: [2754]
2754,53 unequal: No Solution
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Moving to Node #0,3,2
Current State: 53:[50, 55], Operations: ['64-13=51', '4+51=55']
Exploring Operation: 50*55=2750, Resulting Numbers: [2750]
2750,53 unequal: No Solution
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,53 unequal: No Solution
Exploring Operation: 50+55=105, Resulting Numbers: [105]
105,53 unequal: No Solution
Moving to Node #0,3,3
Current State: 53:[51, 46], Operations: ['64-13=51', '50-4=46']
Exploring Operation: 51+46=97, Resulting Numbers: [97]
97,53 unequal: No Solution
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,53 unequal: No Solution
Exploring Operation: 51*46=2346, Resulting Numbers: [2346]
2346,53 unequal: No Solution
Moving to Node #0,1,3
Current State: 53:[50, 47], Operations: ['64-4=60', '60-13=47']
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 50*47=2350, Resulting Numbers: [2350]
2350,53 unequal: No Solution
Exploring Operation: 50+47=97, Resulting Numbers: [97]
97,53 unequal: No Solution
Moving to Node #0,3,1
Current State: 53:[50, 47], Operations: ['64-13=51', '51-4=47']
Exploring Operation: 50+47=97, Resulting Numbers: [97]
97,53 unequal: No Solution
Exploring Operation: 50*47=2350, Resulting Numbers: [2350]
2350,53 unequal: No Solution
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[60, 63], Operations: ['64-4=60', '13+50=63']
Exploring Operation: 63-60=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 60+63=123, Resulting Numbers: [123]
123,53 unequal: No Solution
Exploring Operation: 60*63=3780, Resulting Numbers: [3780]
3780,53 unequal: No Solution
Moving to Node #0,4,3
Current State: 53:[64, 41], Operations: ['4+50=54', '54-13=41']
Exploring Operation: 64+41=105, Resulting Numbers: [105]
105,53 unequal: No Solution
Exploring Operation: 64*41=2624, Resulting Numbers: [2624]
2624,53 unequal: No Solution
Exploring Operation: 64-41=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[50, 73], Operations: ['64-4=60', '13+60=73']
Exploring Operation: 50+73=123, Resulting Numbers: [123]
123,53 unequal: No Solution
Exploring Operation: 73-50=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Exploring Operation: 50*73=3650, Resulting Numbers: [3650]
3650,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[60, 37], Operations: ['64-4=60', '50-13=37']
Exploring Operation: 60+37=97, Resulting Numbers: [97]
97,53 unequal: No Solution
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Exploring Operation: 60*37=2220, Resulting Numbers: [2220]
2220,53 unequal: No Solution
Moving to Node #0,4,0
Current State: 53:[54, 77], Operations: ['4+50=54', '64+13=77']
Exploring Operation: 54+77=131, Resulting Numbers: [131]
131,53 unequal: No Solution
Exploring Operation: 54*77=4158, Resulting Numbers: [4158]
4158,53 unequal: No Solution
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Moving to Node #0,4,2
Current State: 53:[64, 67], Operations: ['4+50=54', '13+54=67']
Exploring Operation: 64*67=4288, Resulting Numbers: [4288]
4288,53 unequal: No Solution
Exploring Operation: 64+67=131, Resulting Numbers: [131]
131,53 unequal: No Solution
Exploring Operation: 67-64=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Moving to Node #0,4,4
Current State: 53:[13, 10], Operations: ['4+50=54', '64-54=10']
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Moving to Node #0,1,4
Current State: 53:[13, 10], Operations: ['64-4=60', '60-50=10']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Moving to Node #0,3,0
Current State: 53:[4, 101], Operations: ['64-13=51', '50+51=101']
Exploring Operation: 101-4=97, Resulting Numbers: [97]
97,53 unequal: No Solution
Exploring Operation: 4*101=404, Resulting Numbers: [404]
404,53 unequal: No Solution
Exploring Operation: 4+101=105, Resulting Numbers: [105]
105,53 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
45,
36,
15,
16
] | 40 | [
"45-36=9",
"15+16=31",
"9+31=40"
] | Current State: 40:[45, 36, 15, 16], Operations: []
Exploring Operation: 45-36=9, Resulting Numbers: [15, 16, 9]
Generated Node #2: [15, 16, 9] from Operation: 45-36=9
Current State: 40:[15, 16, 9], Operations: ['45-36=9']
Exploring Operation: 15+16=31, Resulting Numbers: [9, 31]
Generated Node #3: [9, 31] from Operation: 15+16=31
Current State: 40:[9, 31], Operations: ['45-36=9', '15+16=31']
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[45, 36, 15, 16], Operations: []
Exploring Operation: 45-36=9, Resulting Numbers: [15, 16, 9]
Generated Node #0,0: 40:[15, 16, 9] Operation: 45-36=9
Exploring Operation: 36-15=21, Resulting Numbers: [45, 16, 21]
Generated Node #0,1: 40:[45, 16, 21] Operation: 36-15=21
Exploring Operation: 45/15=3, Resulting Numbers: [36, 16, 3]
Generated Node #0,2: 40:[36, 16, 3] Operation: 45/15=3
Moving to Node #0,2
Current State: 40:[36, 16, 3], Operations: ['45/15=3']
Exploring Operation: 36+3=39, Resulting Numbers: [16, 39]
Generated Node #0,2,0: 40:[16, 39] Operation: 36+3=39
Exploring Operation: 36-16=20, Resulting Numbers: [3, 20]
Generated Node #0,2,1: 40:[3, 20] Operation: 36-16=20
Exploring Operation: 16+3=19, Resulting Numbers: [36, 19]
Generated Node #0,2,2: 40:[36, 19] Operation: 16+3=19
Moving to Node #0,0
Current State: 40:[15, 16, 9], Operations: ['45-36=9']
Exploring Operation: 15-9=6, Resulting Numbers: [16, 6]
Generated Node #0,0,0: 40:[16, 6] Operation: 15-9=6
Exploring Operation: 16-15=1, Resulting Numbers: [9, 1]
Generated Node #0,0,1: 40:[9, 1] Operation: 16-15=1
Exploring Operation: 16-9=7, Resulting Numbers: [15, 7]
Generated Node #0,0,2: 40:[15, 7] Operation: 16-9=7
Moving to Node #0,1
Current State: 40:[45, 16, 21], Operations: ['36-15=21']
Exploring Operation: 21-16=5, Resulting Numbers: [45, 5]
Generated Node #0,1,0: 40:[45, 5] Operation: 21-16=5
Exploring Operation: 16+21=37, Resulting Numbers: [45, 37]
Generated Node #0,1,1: 40:[45, 37] Operation: 16+21=37
Exploring Operation: 45-21=24, Resulting Numbers: [16, 24]
Generated Node #0,1,2: 40:[16, 24] Operation: 45-21=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[45, 5], Operations: ['36-15=21', '21-16=5']
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,40 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[45, 36, 15, 16], Operations: []
Exploring Operation: 36-15=21, Resulting Numbers: [45, 16, 21]
Generated Node #0,1: 40:[45, 16, 21] Operation: 36-15=21
Moving to Node #0,1
Current State: 40:[45, 16, 21], Operations: ['36-15=21']
Exploring Operation: 21-16=5, Resulting Numbers: [45, 5]
Generated Node #0,1,0: 40:[45, 5] Operation: 21-16=5
Moving to Node #0,1,0
Current State: 40:[45, 5], Operations: ['36-15=21', '21-16=5']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
4,
16,
22,
2
] | 19 | [
"4-2=2",
"16+22=38",
"38/2=19"
] | Current State: 19:[4, 16, 22, 2], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [16, 22, 2]
Generated Node #2: [16, 22, 2] from Operation: 4-2=2
Current State: 19:[16, 22, 2], Operations: ['4-2=2']
Exploring Operation: 16+22=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 16+22=38
Current State: 19:[2, 38], Operations: ['4-2=2', '16+22=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[4, 16, 22, 2], Operations: []
Exploring Operation: 4*2=8, Resulting Numbers: [16, 22, 8]
Generated Node #0,0: 19:[16, 22, 8] Operation: 4*2=8
Exploring Operation: 16+2=18, Resulting Numbers: [4, 22, 18]
Generated Node #0,1: 19:[4, 22, 18] Operation: 16+2=18
Exploring Operation: 4+16=20, Resulting Numbers: [22, 2, 20]
Generated Node #0,2: 19:[22, 2, 20] Operation: 4+16=20
Exploring Operation: 22-2=20, Resulting Numbers: [4, 16, 20]
Generated Node #0,3: 19:[4, 16, 20] Operation: 22-2=20
Exploring Operation: 4+2=6, Resulting Numbers: [16, 22, 6]
Generated Node #0,4: 19:[16, 22, 6] Operation: 4+2=6
Moving to Node #0,0
Current State: 19:[16, 22, 8], Operations: ['4*2=8']
Exploring Operation: 16-8=8, Resulting Numbers: [22, 8]
Generated Node #0,0,0: 19:[22, 8] Operation: 16-8=8
Exploring Operation: 22-8=14, Resulting Numbers: [16, 14]
Generated Node #0,0,1: 19:[16, 14] Operation: 22-8=14
Exploring Operation: 16+8=24, Resulting Numbers: [22, 24]
Generated Node #0,0,2: 19:[22, 24] Operation: 16+8=24
Exploring Operation: 22+8=30, Resulting Numbers: [16, 30]
Generated Node #0,0,3: 19:[16, 30] Operation: 22+8=30
Exploring Operation: 16/8=2, Resulting Numbers: [22, 2]
Generated Node #0,0,4: 19:[22, 2] Operation: 16/8=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[16, 14], Operations: ['4*2=8', '22-8=14']
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 16*14=224, Resulting Numbers: [224]
224,19 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 #0,0,2
Current State: 19:[22, 24], Operations: ['4*2=8', '16+8=24']
Exploring Operation: 22*24=528, Resulting Numbers: [528]
528,19 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,19 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 #0,0,0
Current State: 19:[22, 8], Operations: ['4*2=8', '16-8=8']
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,19 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 22-8=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 #0,0,3
Current State: 19:[16, 30], Operations: ['4*2=8', '22+8=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,19 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 #0,0,4
Current State: 19:[22, 2], Operations: ['4*2=8', '16/8=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,19 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: 19:[4, 16, 20], Operations: ['22-2=20']
Exploring Operation: 16-4=12, Resulting Numbers: [20, 12]
Generated Node #0,3,0: 19:[20, 12] Operation: 16-4=12
Exploring Operation: 16/4=4, Resulting Numbers: [20, 4]
Generated Node #0,3,1: 19:[20, 4] Operation: 16/4=4
Exploring Operation: 4+16=20, Resulting Numbers: [20, 20]
Generated Node #0,3,2: 19:[20, 20] Operation: 4+16=20
Exploring Operation: 20-4=16, Resulting Numbers: [16, 16]
Generated Node #0,3,3: 19:[16, 16] Operation: 20-4=16
Exploring Operation: 4+20=24, Resulting Numbers: [16, 24]
Generated Node #0,3,4: 19:[16, 24] Operation: 4+20=24
Moving to Node #0,1
Current State: 19:[4, 22, 18], Operations: ['16+2=18']
Exploring Operation: 4+22=26, Resulting Numbers: [18, 26]
Generated Node #0,1,0: 19:[18, 26] Operation: 4+22=26
Exploring Operation: 18-4=14, Resulting Numbers: [22, 14]
Generated Node #0,1,1: 19:[22, 14] Operation: 18-4=14
Exploring Operation: 4+18=22, Resulting Numbers: [22, 22]
Generated Node #0,1,2: 19:[22, 22] Operation: 4+18=22
Exploring Operation: 22-4=18, Resulting Numbers: [18, 18]
Generated Node #0,1,3: 19:[18, 18] Operation: 22-4=18
Exploring Operation: 22-18=4, Resulting Numbers: [4, 4]
Generated Node #0,1,4: 19:[4, 4] Operation: 22-18=4
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 19:[18, 18], Operations: ['16+2=18', '22-4=18']
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,19 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,19 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 #0,1,2
Current State: 19:[22, 22], Operations: ['16+2=18', '4+18=22']
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,19 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:[18, 26], Operations: ['16+2=18', '4+22=26']
Exploring Operation: 18*26=468, Resulting Numbers: [468]
468,19 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,19 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:[22, 14], Operations: ['16+2=18', '18-4=14']
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 22*14=308, Resulting Numbers: [308]
308,19 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,19 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 #0,1,4
Current State: 19:[4, 4], Operations: ['16+2=18', '22-18=4']
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,19 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: 19:[16, 22, 6], Operations: ['4+2=6']
Exploring Operation: 16-6=10, Resulting Numbers: [22, 10]
Generated Node #0,4,0: 19:[22, 10] Operation: 16-6=10
Exploring Operation: 22-6=16, Resulting Numbers: [16, 16]
Generated Node #0,4,1: 19:[16, 16] Operation: 22-6=16
Exploring Operation: 16+6=22, Resulting Numbers: [22, 22]
Generated Node #0,4,2: 19:[22, 22] Operation: 16+6=22
Exploring Operation: 22-16=6, Resulting Numbers: [6, 6]
Generated Node #0,4,3: 19:[6, 6] Operation: 22-16=6
Exploring Operation: 22+6=28, Resulting Numbers: [16, 28]
Generated Node #0,4,4: 19:[16, 28] Operation: 22+6=28
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 19:[16, 16], Operations: ['4+2=6', '22-6=16']
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,19 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,19 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 #0,4,2
Current State: 19:[22, 22], Operations: ['4+2=6', '16+6=22']
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,19 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 #0,4,0
Current State: 19:[22, 10], Operations: ['4+2=6', '16-6=10']
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,19 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,19 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 #0,4,4
Current State: 19:[16, 28], Operations: ['4+2=6', '22+6=28']
Exploring Operation: 16*28=448, Resulting Numbers: [448]
448,19 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,19 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 #0,4,3
Current State: 19:[6, 6], Operations: ['4+2=6', '22-16=6']
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,19 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:[22, 2, 20], Operations: ['4+16=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22, 22]
Generated Node #0,2,0: 19:[22, 22] Operation: 2+20=22
Exploring Operation: 22/2=11, Resulting Numbers: [20, 11]
Generated Node #0,2,1: 19:[20, 11] Operation: 22/2=11
Exploring Operation: 22+2=24, Resulting Numbers: [20, 24]
Generated Node #0,2,2: 19:[20, 24] Operation: 22+2=24
Exploring Operation: 20-2=18, Resulting Numbers: [22, 18]
Generated Node #0,2,3: 19:[22, 18] Operation: 20-2=18
Exploring Operation: 22-2=20, Resulting Numbers: [20, 20]
Generated Node #0,2,4: 19:[20, 20] Operation: 22-2=20
Moving to Node #0,3,2
Current State: 19:[20, 20], Operations: ['22-2=20', '4+16=20']
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,19 unequal: No Solution
Moving to Node #0,2,4
Current State: 19:[20, 20], Operations: ['4+16=20', '22-2=20']
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[22, 18], Operations: ['4+16=20', '20-2=18']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[20, 24], Operations: ['4+16=20', '22+2=24']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 20*24=480, Resulting Numbers: [480]
480,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[16, 16], Operations: ['22-2=20', '20-4=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,19 unequal: No Solution
Moving to Node #0,2,0
Current State: 19:[22, 22], Operations: ['4+16=20', '2+20=22']
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,19 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[20, 12], Operations: ['22-2=20', '16-4=12']
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,19 unequal: No Solution
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,3,4
Current State: 19:[16, 24], Operations: ['22-2=20', '4+20=24']
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,19 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[20, 11], Operations: ['4+16=20', '22/2=11']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,19 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,19 unequal: No Solution
Moving to Node #0,3,1
Current State: 19:[20, 4], Operations: ['22-2=20', '16/4=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,19 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
3,
4,
76,
15
] | 76 | [
"15/3=5",
"5-4=1",
"76*1=76"
] | Current State: 76:[3, 4, 76, 15], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [4, 76, 5]
Generated Node #2: [4, 76, 5] from Operation: 15/3=5
Current State: 76:[4, 76, 5], Operations: ['15/3=5']
Exploring Operation: 5-4=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 5-4=1
Current State: 76:[76, 1], Operations: ['15/3=5', '5-4=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[3, 4, 76, 15], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [4, 76, 5]
Generated Node #0,0: 76:[4, 76, 5] Operation: 15/3=5
Exploring Operation: 3+15=18, Resulting Numbers: [4, 76, 18]
Generated Node #0,1: 76:[4, 76, 18] Operation: 3+15=18
Exploring Operation: 76/4=19, Resulting Numbers: [3, 15, 19]
Generated Node #0,2: 76:[3, 15, 19] Operation: 76/4=19
Exploring Operation: 4+15=19, Resulting Numbers: [3, 76, 19]
Generated Node #0,3: 76:[3, 76, 19] Operation: 4+15=19
Exploring Operation: 4-3=1, Resulting Numbers: [76, 15, 1]
Generated Node #0,4: 76:[76, 15, 1] Operation: 4-3=1
Moving to Node #0,0
Current State: 76:[4, 76, 5], Operations: ['15/3=5']
Exploring Operation: 76/4=19, Resulting Numbers: [5, 19]
Generated Node #0,0,0: 76:[5, 19] Operation: 76/4=19
Exploring Operation: 76-4=72, Resulting Numbers: [5, 72]
Generated Node #0,0,1: 76:[5, 72] Operation: 76-4=72
Exploring Operation: 4*5=20, Resulting Numbers: [76, 20]
Generated Node #0,0,2: 76:[76, 20] Operation: 4*5=20
Exploring Operation: 4+76=80, Resulting Numbers: [5, 80]
Generated Node #0,0,3: 76:[5, 80] Operation: 4+76=80
Exploring Operation: 5-4=1, Resulting Numbers: [76, 1]
Generated Node #0,0,4: 76:[76, 1] Operation: 5-4=1
Moving to Node #0,3
Current State: 76:[3, 76, 19], Operations: ['4+15=19']
Exploring Operation: 76/19=4, Resulting Numbers: [3, 4]
Generated Node #0,3,0: 76:[3, 4] Operation: 76/19=4
Exploring Operation: 76-3=73, Resulting Numbers: [19, 73]
Generated Node #0,3,1: 76:[19, 73] Operation: 76-3=73
Exploring Operation: 19-3=16, Resulting Numbers: [76, 16]
Generated Node #0,3,2: 76:[76, 16] Operation: 19-3=16
Exploring Operation: 3+19=22, Resulting Numbers: [76, 22]
Generated Node #0,3,3: 76:[76, 22] Operation: 3+19=22
Exploring Operation: 3+76=79, Resulting Numbers: [19, 79]
Generated Node #0,3,4: 76:[19, 79] Operation: 3+76=79
Moving to Node #0,1
Current State: 76:[4, 76, 18], Operations: ['3+15=18']
Exploring Operation: 4+76=80, Resulting Numbers: [18, 80]
Generated Node #0,1,0: 76:[18, 80] Operation: 4+76=80
Exploring Operation: 4*18=72, Resulting Numbers: [76, 72]
Generated Node #0,1,1: 76:[76, 72] Operation: 4*18=72
Exploring Operation: 76/4=19, Resulting Numbers: [18, 19]
Generated Node #0,1,2: 76:[18, 19] Operation: 76/4=19
Exploring Operation: 4+18=22, Resulting Numbers: [76, 22]
Generated Node #0,1,3: 76:[76, 22] Operation: 4+18=22
Exploring Operation: 76-4=72, Resulting Numbers: [18, 72]
Generated Node #0,1,4: 76:[18, 72] Operation: 76-4=72
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 76:[18, 19], Operations: ['3+15=18', '76/4=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,76 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 #0,1,3
Current State: 76:[76, 22], Operations: ['3+15=18', '4+18=22']
Exploring Operation: 76+22=98, Resulting Numbers: [98]
98,76 unequal: No Solution
Exploring Operation: 76*22=1672, Resulting Numbers: [1672]
1672,76 unequal: No Solution
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,76 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 #0,1,1
Current State: 76:[76, 72], Operations: ['3+15=18', '4*18=72']
Exploring Operation: 76+72=148, Resulting Numbers: [148]
148,76 unequal: No Solution
Exploring Operation: 76*72=5472, Resulting Numbers: [5472]
5472,76 unequal: No Solution
Exploring Operation: 76-72=4, Resulting Numbers: [4]
4,76 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 #0,1,0
Current State: 76:[18, 80], Operations: ['3+15=18', '4+76=80']
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 18*80=1440, Resulting Numbers: [1440]
1440,76 unequal: No Solution
Exploring Operation: 18+80=98, Resulting Numbers: [98]
98,76 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 #0,1,4
Current State: 76:[18, 72], Operations: ['3+15=18', '76-4=72']
Exploring Operation: 18+72=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,76 unequal: No Solution
Exploring Operation: 18*72=1296, Resulting Numbers: [1296]
1296,76 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: 76:[3, 15, 19], Operations: ['76/4=19']
Exploring Operation: 3*15=45, Resulting Numbers: [19, 45]
Generated Node #0,2,0: 76:[19, 45] Operation: 3*15=45
Exploring Operation: 3+15=18, Resulting Numbers: [19, 18]
Generated Node #0,2,1: 76:[19, 18] Operation: 3+15=18
Exploring Operation: 19-15=4, Resulting Numbers: [3, 4]
Generated Node #0,2,2: 76:[3, 4] Operation: 19-15=4
Exploring Operation: 15+19=34, Resulting Numbers: [3, 34]
Generated Node #0,2,3: 76:[3, 34] Operation: 15+19=34
Exploring Operation: 15/3=5, Resulting Numbers: [19, 5]
Generated Node #0,2,4: 76:[19, 5] Operation: 15/3=5
Moving to Node #0,4
Current State: 76:[76, 15, 1], Operations: ['4-3=1']
Exploring Operation: 15+1=16, Resulting Numbers: [76, 16]
Generated Node #0,4,0: 76:[76, 16] Operation: 15+1=16
Exploring Operation: 76/1=76, Resulting Numbers: [15, 76]
Generated Node #0,4,1: 76:[15, 76] Operation: 76/1=76
Exploring Operation: 15/1=15, Resulting Numbers: [76, 15]
Generated Node #0,4,2: 76:[76, 15] Operation: 15/1=15
Exploring Operation: 15*1=15, Resulting Numbers: [76, 15]
Generated Node #0,4,3: 76:[76, 15] Operation: 15*1=15
Exploring Operation: 76*1=76, Resulting Numbers: [15, 76]
Generated Node #0,4,4: 76:[15, 76] Operation: 76*1=76
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 76:[76, 16], Operations: ['4-3=1', '15+1=16']
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 76*16=1216, Resulting Numbers: [1216]
1216,76 unequal: No Solution
Exploring Operation: 76+16=92, Resulting Numbers: [92]
92,76 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 #0,4,1
Current State: 76:[15, 76], Operations: ['4-3=1', '76/1=76']
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 15*76=1140, Resulting Numbers: [1140]
1140,76 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 #0,4,2
Current State: 76:[76, 15], Operations: ['4-3=1', '15/1=15']
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 76*15=1140, Resulting Numbers: [1140]
1140,76 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 #0,4,3
Current State: 76:[76, 15], Operations: ['4-3=1', '15*1=15']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 76*15=1140, Resulting Numbers: [1140]
1140,76 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 #0,4,4
Current State: 76:[15, 76], Operations: ['4-3=1', '76*1=76']
Exploring Operation: 15*76=1140, Resulting Numbers: [1140]
1140,76 unequal: No Solution
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,76 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: 76:[5, 19], Operations: ['15/3=5', '76/4=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Moving to Node #0,0,4
Current State: 76:[76, 1], Operations: ['15/3=5', '5-4=1']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[3, 4, 76, 15], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [4, 76, 5]
Generated Node #0,0: 76:[4, 76, 5] Operation: 15/3=5
Moving to Node #0,0
Current State: 76:[4, 76, 5], Operations: ['15/3=5']
Exploring Operation: 5-4=1, Resulting Numbers: [76, 1]
Generated Node #0,0,4: 76:[76, 1] Operation: 5-4=1
Moving to Node #0,0,4
Current State: 76:[76, 1], Operations: ['15/3=5', '5-4=1']
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 0.939236 | hs_5 | mult_heuristic |
[
45,
55,
49,
38
] | 68 | [
"49-45=4",
"55-38=17",
"4*17=68"
] | Current State: 68:[45, 55, 49, 38], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [55, 38, 4]
Generated Node #2: [55, 38, 4] from Operation: 49-45=4
Current State: 68:[55, 38, 4], Operations: ['49-45=4']
Exploring Operation: 55-38=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 55-38=17
Current State: 68:[4, 17], Operations: ['49-45=4', '55-38=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[45, 55, 49, 38], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [55, 38, 4]
Generated Node #0,0: 68:[55, 38, 4] Operation: 49-45=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[55, 38, 4], Operations: ['49-45=4']
Exploring Operation: 55-38=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 68:[4, 17] Operation: 55-38=17
Moving to Node #0,0,0
Current State: 68:[4, 17], Operations: ['49-45=4', '55-38=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[45, 55, 49, 38], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [55, 38, 4]
Generated Node #0,0: 68:[55, 38, 4] Operation: 49-45=4
Moving to Node #0,0
Current State: 68:[55, 38, 4], Operations: ['49-45=4']
Exploring Operation: 55-38=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 68:[4, 17] Operation: 55-38=17
Moving to Node #0,0,0
Current State: 68:[4, 17], Operations: ['49-45=4', '55-38=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
23,
45,
30,
39
] | 75 | [
"45*39=1755",
"1755-30=1725",
"1725/23=75"
] | Current State: 75:[23, 45, 30, 39], Operations: []
Exploring Operation: 45*39=1755, Resulting Numbers: [23, 30, 1755]
Generated Node #2: [23, 30, 1755] from Operation: 45*39=1755
Current State: 75:[23, 30, 1755], Operations: ['45*39=1755']
Exploring Operation: 1755-30=1725, Resulting Numbers: [23, 1725]
Generated Node #3: [23, 1725] from Operation: 1755-30=1725
Current State: 75:[23, 1725], Operations: ['45*39=1755', '1755-30=1725']
Exploring Operation: 1725/23=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[23, 45, 30, 39], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [23, 30, 6]
Generated Node #0,0: 75:[23, 30, 6] Operation: 45-39=6
Exploring Operation: 45+30=75, Resulting Numbers: [23, 39, 75]
Generated Node #0,1: 75:[23, 39, 75] Operation: 45+30=75
Exploring Operation: 45-30=15, Resulting Numbers: [23, 39, 15]
Generated Node #0,2: 75:[23, 39, 15] Operation: 45-30=15
Moving to Node #0,0
Current State: 75:[23, 30, 6], Operations: ['45-39=6']
Exploring Operation: 30-23=7, Resulting Numbers: [6, 7]
Generated Node #0,0,0: 75:[6, 7] Operation: 30-23=7
Exploring Operation: 30/6=5, Resulting Numbers: [23, 5]
Generated Node #0,0,1: 75:[23, 5] Operation: 30/6=5
Exploring Operation: 30-6=24, Resulting Numbers: [23, 24]
Generated Node #0,0,2: 75:[23, 24] Operation: 30-6=24
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[23, 5], Operations: ['45-39=6', '30/6=5']
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,75 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[6, 7], Operations: ['45-39=6', '30-23=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 75:[23, 24], Operations: ['45-39=6', '30-6=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,75 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,75 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: 75:[23, 39, 75], Operations: ['45+30=75']
Exploring Operation: 75-39=36, Resulting Numbers: [23, 36]
Generated Node #0,1,0: 75:[23, 36] Operation: 75-39=36
Exploring Operation: 23+39=62, Resulting Numbers: [75, 62]
Generated Node #0,1,1: 75:[75, 62] Operation: 23+39=62
Exploring Operation: 39-23=16, Resulting Numbers: [75, 16]
Generated Node #0,1,2: 75:[75, 16] Operation: 39-23=16
Moving to Node #0,2
Current State: 75:[23, 39, 15], Operations: ['45-30=15']
Exploring Operation: 39-15=24, Resulting Numbers: [23, 24]
Generated Node #0,2,0: 75:[23, 24] Operation: 39-15=24
Exploring Operation: 39-23=16, Resulting Numbers: [15, 16]
Generated Node #0,2,1: 75:[15, 16] Operation: 39-23=16
Exploring Operation: 23+39=62, Resulting Numbers: [15, 62]
Generated Node #0,2,2: 75:[15, 62] Operation: 23+39=62
Moving to Node #0,1,2
Current State: 75:[75, 16], Operations: ['45+30=75', '39-23=16']
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,75 unequal: No Solution
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[15, 16], Operations: ['45-30=15', '39-23=16']
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,75 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[23, 24], Operations: ['45-30=15', '39-15=24']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,75 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[75, 62], Operations: ['45+30=75', '23+39=62']
Exploring Operation: 75+62=137, Resulting Numbers: [137]
137,75 unequal: No Solution
Exploring Operation: 75*62=4650, Resulting Numbers: [4650]
4650,75 unequal: No Solution
Exploring Operation: 75-62=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[23, 36], Operations: ['45+30=75', '75-39=36']
Exploring Operation: 23+36=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 23*36=828, Resulting Numbers: [828]
828,75 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[15, 62], Operations: ['45-30=15', '23+39=62']
Exploring Operation: 15+62=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 15*62=930, Resulting Numbers: [930]
930,75 unequal: No Solution
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,75 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
17,
67,
16,
65
] | 31 | [
"67-17=50",
"16+65=81",
"81-50=31"
] | Current State: 31:[17, 67, 16, 65], Operations: []
Exploring Operation: 67-17=50, Resulting Numbers: [16, 65, 50]
Generated Node #2: [16, 65, 50] from Operation: 67-17=50
Current State: 31:[16, 65, 50], Operations: ['67-17=50']
Exploring Operation: 16+65=81, Resulting Numbers: [50, 81]
Generated Node #3: [50, 81] from Operation: 16+65=81
Current State: 31:[50, 81], Operations: ['67-17=50', '16+65=81']
Exploring Operation: 81-50=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[17, 67, 16, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [17, 16, 2]
Generated Node #0,0: 31:[17, 16, 2] Operation: 67-65=2
Exploring Operation: 65-17=48, Resulting Numbers: [67, 16, 48]
Generated Node #0,1: 31:[67, 16, 48] Operation: 65-17=48
Exploring Operation: 67-17=50, Resulting Numbers: [16, 65, 50]
Generated Node #0,2: 31:[16, 65, 50] Operation: 67-17=50
Moving to Node #0,0
Current State: 31:[17, 16, 2], Operations: ['67-65=2']
Exploring Operation: 17*2=34, Resulting Numbers: [16, 34]
Generated Node #0,0,0: 31:[16, 34] Operation: 17*2=34
Exploring Operation: 17+2=19, Resulting Numbers: [16, 19]
Generated Node #0,0,1: 31:[16, 19] Operation: 17+2=19
Exploring Operation: 16*2=32, Resulting Numbers: [17, 32]
Generated Node #0,0,2: 31:[17, 32] Operation: 16*2=32
Moving to Node #0,1
Current State: 31:[67, 16, 48], Operations: ['65-17=48']
Exploring Operation: 67-16=51, Resulting Numbers: [48, 51]
Generated Node #0,1,0: 31:[48, 51] Operation: 67-16=51
Exploring Operation: 67-48=19, Resulting Numbers: [16, 19]
Generated Node #0,1,1: 31:[16, 19] Operation: 67-48=19
Exploring Operation: 48-16=32, Resulting Numbers: [67, 32]
Generated Node #0,1,2: 31:[67, 32] Operation: 48-16=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[16, 19], Operations: ['65-17=48', '67-48=19']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,31 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 #0,1,0
Current State: 31:[48, 51], Operations: ['65-17=48', '67-16=51']
Exploring Operation: 48*51=2448, Resulting Numbers: [2448]
2448,31 unequal: No Solution
Exploring Operation: 48+51=99, Resulting Numbers: [99]
99,31 unequal: No Solution
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,31 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 #0,1,2
Current State: 31:[67, 32], Operations: ['65-17=48', '48-16=32']
Exploring Operation: 67-32=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 67*32=2144, Resulting Numbers: [2144]
2144,31 unequal: No Solution
Exploring Operation: 67+32=99, Resulting Numbers: [99]
99,31 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: 31:[16, 65, 50], Operations: ['67-17=50']
Exploring Operation: 65-50=15, Resulting Numbers: [16, 15]
Generated Node #0,2,0: 31:[16, 15] Operation: 65-50=15
Exploring Operation: 50-16=34, Resulting Numbers: [65, 34]
Generated Node #0,2,1: 31:[65, 34] Operation: 50-16=34
Exploring Operation: 65-16=49, Resulting Numbers: [50, 49]
Generated Node #0,2,2: 31:[50, 49] Operation: 65-16=49
Moving to Node #0,0,2
Current State: 31:[17, 32], Operations: ['67-65=2', '16*2=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,31 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[16, 34], Operations: ['67-65=2', '17*2=34']
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,31 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[16, 19], Operations: ['67-65=2', '17+2=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[16, 15], Operations: ['67-17=50', '65-50=15']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[17, 67, 16, 65], Operations: []
Exploring Operation: 67-17=50, Resulting Numbers: [16, 65, 50]
Generated Node #0,2: 31:[16, 65, 50] Operation: 67-17=50
Moving to Node #0,2
Current State: 31:[16, 65, 50], Operations: ['67-17=50']
Exploring Operation: 65-50=15, Resulting Numbers: [16, 15]
Generated Node #0,2,0: 31:[16, 15] Operation: 65-50=15
Moving to Node #0,2,0
Current State: 31:[16, 15], Operations: ['67-17=50', '65-50=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.96875 | hs_3 | sum_heuristic |
[
10,
96,
57,
44
] | 93 | [
"10+96=106",
"57-44=13",
"106-13=93"
] | Current State: 93:[10, 96, 57, 44], Operations: []
Exploring Operation: 10+96=106, Resulting Numbers: [57, 44, 106]
Generated Node #2: [57, 44, 106] from Operation: 10+96=106
Current State: 93:[57, 44, 106], Operations: ['10+96=106']
Exploring Operation: 57-44=13, Resulting Numbers: [106, 13]
Generated Node #3: [106, 13] from Operation: 57-44=13
Current State: 93:[106, 13], Operations: ['10+96=106', '57-44=13']
Exploring Operation: 106-13=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[10, 96, 57, 44], Operations: []
Exploring Operation: 96-57=39, Resulting Numbers: [10, 44, 39]
Generated Node #0,0: 93:[10, 44, 39] Operation: 96-57=39
Exploring Operation: 57-44=13, Resulting Numbers: [10, 96, 13]
Generated Node #0,1: 93:[10, 96, 13] Operation: 57-44=13
Exploring Operation: 57+44=101, Resulting Numbers: [10, 96, 101]
Generated Node #0,2: 93:[10, 96, 101] Operation: 57+44=101
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[10, 96, 101], Operations: ['57+44=101']
Exploring Operation: 101-96=5, Resulting Numbers: [10, 5]
Generated Node #0,2,0: 93:[10, 5] Operation: 101-96=5
Exploring Operation: 101-10=91, Resulting Numbers: [96, 91]
Generated Node #0,2,1: 93:[96, 91] Operation: 101-10=91
Exploring Operation: 96-10=86, Resulting Numbers: [101, 86]
Generated Node #0,2,2: 93:[101, 86] Operation: 96-10=86
Moving to Node #0,2,1
Current State: 93:[96, 91], Operations: ['57+44=101', '101-10=91']
Exploring Operation: 96-91=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 96+91=187, Resulting Numbers: [187]
187,93 unequal: No Solution
Exploring Operation: 96*91=8736, Resulting Numbers: [8736]
8736,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[10, 5], Operations: ['57+44=101', '101-96=5']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,93 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[101, 86], Operations: ['57+44=101', '96-10=86']
Exploring Operation: 101*86=8686, Resulting Numbers: [8686]
8686,93 unequal: No Solution
Exploring Operation: 101-86=15, Resulting Numbers: [15]
15,93 unequal: No Solution
Exploring Operation: 101+86=187, Resulting Numbers: [187]
187,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[10, 96, 13], Operations: ['57-44=13']
Exploring Operation: 96-10=86, Resulting Numbers: [13, 86]
Generated Node #0,1,0: 93:[13, 86] Operation: 96-10=86
Exploring Operation: 13-10=3, Resulting Numbers: [96, 3]
Generated Node #0,1,1: 93:[96, 3] Operation: 13-10=3
Exploring Operation: 10+13=23, Resulting Numbers: [96, 23]
Generated Node #0,1,2: 93:[96, 23] Operation: 10+13=23
Moving to Node #0,1,1
Current State: 93:[96, 3], Operations: ['57-44=13', '13-10=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[10, 96, 57, 44], Operations: []
Exploring Operation: 57-44=13, Resulting Numbers: [10, 96, 13]
Generated Node #0,1: 93:[10, 96, 13] Operation: 57-44=13
Moving to Node #0,1
Current State: 93:[10, 96, 13], Operations: ['57-44=13']
Exploring Operation: 13-10=3, Resulting Numbers: [96, 3]
Generated Node #0,1,1: 93:[96, 3] Operation: 13-10=3
Moving to Node #0,1,1
Current State: 93:[96, 3], Operations: ['57-44=13', '13-10=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
8,
26,
2,
68
] | 59 | [
"26-8=18",
"18/2=9",
"68-9=59"
] | Current State: 59:[8, 26, 2, 68], Operations: []
Exploring Operation: 26-8=18, Resulting Numbers: [2, 68, 18]
Generated Node #2: [2, 68, 18] from Operation: 26-8=18
Current State: 59:[2, 68, 18], Operations: ['26-8=18']
Exploring Operation: 18/2=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 18/2=9
Current State: 59:[68, 9], Operations: ['26-8=18', '18/2=9']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[8, 26, 2, 68], Operations: []
Exploring Operation: 26*2=52, Resulting Numbers: [8, 68, 52]
Generated Node #0,0: 59:[8, 68, 52] Operation: 26*2=52
Exploring Operation: 8+26=34, Resulting Numbers: [2, 68, 34]
Generated Node #0,1: 59:[2, 68, 34] Operation: 8+26=34
Exploring Operation: 8*2=16, Resulting Numbers: [26, 68, 16]
Generated Node #0,2: 59:[26, 68, 16] Operation: 8*2=16
Moving to Node #0,0
Current State: 59:[8, 68, 52], Operations: ['26*2=52']
Exploring Operation: 68-8=60, Resulting Numbers: [52, 60]
Generated Node #0,0,0: 59:[52, 60] Operation: 68-8=60
Exploring Operation: 8+68=76, Resulting Numbers: [52, 76]
Generated Node #0,0,1: 59:[52, 76] Operation: 8+68=76
Exploring Operation: 8+52=60, Resulting Numbers: [68, 60]
Generated Node #0,0,2: 59:[68, 60] Operation: 8+52=60
Moving to Node #0,2
Current State: 59:[26, 68, 16], Operations: ['8*2=16']
Exploring Operation: 26+16=42, Resulting Numbers: [68, 42]
Generated Node #0,2,0: 59:[68, 42] Operation: 26+16=42
Exploring Operation: 68-16=52, Resulting Numbers: [26, 52]
Generated Node #0,2,1: 59:[26, 52] Operation: 68-16=52
Exploring Operation: 26-16=10, Resulting Numbers: [68, 10]
Generated Node #0,2,2: 59:[68, 10] Operation: 26-16=10
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[68, 42], Operations: ['8*2=16', '26+16=42']
Exploring Operation: 68+42=110, Resulting Numbers: [110]
110,59 unequal: No Solution
Exploring Operation: 68*42=2856, Resulting Numbers: [2856]
2856,59 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[26, 52], Operations: ['8*2=16', '68-16=52']
Exploring Operation: 26+52=78, Resulting Numbers: [78]
78,59 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[68, 10], Operations: ['8*2=16', '26-16=10']
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,59 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,59 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: 59:[2, 68, 34], Operations: ['8+26=34']
Exploring Operation: 2+34=36, Resulting Numbers: [68, 36]
Generated Node #0,1,0: 59:[68, 36] Operation: 2+34=36
Exploring Operation: 68-2=66, Resulting Numbers: [34, 66]
Generated Node #0,1,1: 59:[34, 66] Operation: 68-2=66
Exploring Operation: 2*34=68, Resulting Numbers: [68, 68]
Generated Node #0,1,2: 59:[68, 68] Operation: 2*34=68
Moving to Node #0,0,0
Current State: 59:[52, 60], Operations: ['26*2=52', '68-8=60']
Exploring Operation: 52*60=3120, Resulting Numbers: [3120]
3120,59 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 52+60=112, Resulting Numbers: [112]
112,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[68, 60], Operations: ['26*2=52', '8+52=60']
Exploring Operation: 68+60=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 68-60=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 68*60=4080, Resulting Numbers: [4080]
4080,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[68, 68], Operations: ['8+26=34', '2*34=68']
Exploring Operation: 68+68=136, Resulting Numbers: [136]
136,59 unequal: No Solution
Exploring Operation: 68/68=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 68-68=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[52, 76], Operations: ['26*2=52', '8+68=76']
Exploring Operation: 52+76=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 76-52=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 52*76=3952, Resulting Numbers: [3952]
3952,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[34, 66], Operations: ['8+26=34', '68-2=66']
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,59 unequal: No Solution
Exploring Operation: 34*66=2244, Resulting Numbers: [2244]
2244,59 unequal: No Solution
Exploring Operation: 34+66=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[68, 36], Operations: ['8+26=34', '2+34=36']
Exploring Operation: 68*36=2448, Resulting Numbers: [2448]
2448,59 unequal: No Solution
Exploring Operation: 68+36=104, Resulting Numbers: [104]
104,59 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,59 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
3,
83,
64,
31
] | 78 | [
"3*64=192",
"83+31=114",
"192-114=78"
] | Current State: 78:[3, 83, 64, 31], Operations: []
Exploring Operation: 3*64=192, Resulting Numbers: [83, 31, 192]
Generated Node #2: [83, 31, 192] from Operation: 3*64=192
Current State: 78:[83, 31, 192], Operations: ['3*64=192']
Exploring Operation: 83+31=114, Resulting Numbers: [192, 114]
Generated Node #3: [192, 114] from Operation: 83+31=114
Current State: 78:[192, 114], Operations: ['3*64=192', '83+31=114']
Exploring Operation: 192-114=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[3, 83, 64, 31], Operations: []
Exploring Operation: 83-3=80, Resulting Numbers: [64, 31, 80]
Generated Node #0,0: 78:[64, 31, 80] Operation: 83-3=80
Exploring Operation: 3+64=67, Resulting Numbers: [83, 31, 67]
Generated Node #0,1: 78:[83, 31, 67] Operation: 3+64=67
Exploring Operation: 31-3=28, Resulting Numbers: [83, 64, 28]
Generated Node #0,2: 78:[83, 64, 28] Operation: 31-3=28
Exploring Operation: 83-64=19, Resulting Numbers: [3, 31, 19]
Generated Node #0,3: 78:[3, 31, 19] Operation: 83-64=19
Exploring Operation: 64-31=33, Resulting Numbers: [3, 83, 33]
Generated Node #0,4: 78:[3, 83, 33] Operation: 64-31=33
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[3, 31, 19], Operations: ['83-64=19']
Exploring Operation: 3+31=34, Resulting Numbers: [19, 34]
Generated Node #0,3,0: 78:[19, 34] Operation: 3+31=34
Exploring Operation: 3+19=22, Resulting Numbers: [31, 22]
Generated Node #0,3,1: 78:[31, 22] Operation: 3+19=22
Exploring Operation: 31-3=28, Resulting Numbers: [19, 28]
Generated Node #0,3,2: 78:[19, 28] Operation: 31-3=28
Exploring Operation: 19-3=16, Resulting Numbers: [31, 16]
Generated Node #0,3,3: 78:[31, 16] Operation: 19-3=16
Exploring Operation: 31-19=12, Resulting Numbers: [3, 12]
Generated Node #0,3,4: 78:[3, 12] Operation: 31-19=12
Moving to Node #0,3,4
Current State: 78:[3, 12], Operations: ['83-64=19', '31-19=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[31, 16], Operations: ['83-64=19', '19-3=16']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[19, 28], Operations: ['83-64=19', '31-3=28']
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[31, 22], Operations: ['83-64=19', '3+19=22']
Exploring Operation: 31+22=53, Resulting Numbers: [53]
53,78 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 31*22=682, Resulting Numbers: [682]
682,78 unequal: No Solution
Moving to Node #0,3,0
Current State: 78:[19, 34], Operations: ['83-64=19', '3+31=34']
Exploring Operation: 19*34=646, Resulting Numbers: [646]
646,78 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,78 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 #0,4
Current State: 78:[3, 83, 33], Operations: ['64-31=33']
Exploring Operation: 3+33=36, Resulting Numbers: [83, 36]
Generated Node #0,4,0: 78:[83, 36] Operation: 3+33=36
Exploring Operation: 33-3=30, Resulting Numbers: [83, 30]
Generated Node #0,4,1: 78:[83, 30] Operation: 33-3=30
Exploring Operation: 83-33=50, Resulting Numbers: [3, 50]
Generated Node #0,4,2: 78:[3, 50] Operation: 83-33=50
Exploring Operation: 33/3=11, Resulting Numbers: [83, 11]
Generated Node #0,4,3: 78:[83, 11] Operation: 33/3=11
Exploring Operation: 83-3=80, Resulting Numbers: [33, 80]
Generated Node #0,4,4: 78:[33, 80] Operation: 83-3=80
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 78:[83, 11], Operations: ['64-31=33', '33/3=11']
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,78 unequal: No Solution
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,78 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,78 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 #0,4,0
Current State: 78:[83, 36], Operations: ['64-31=33', '3+33=36']
Exploring Operation: 83+36=119, Resulting Numbers: [119]
119,78 unequal: No Solution
Exploring Operation: 83*36=2988, Resulting Numbers: [2988]
2988,78 unequal: No Solution
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,78 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 #0,4,4
Current State: 78:[33, 80], Operations: ['64-31=33', '83-3=80']
Exploring Operation: 33+80=113, Resulting Numbers: [113]
113,78 unequal: No Solution
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 33*80=2640, Resulting Numbers: [2640]
2640,78 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 #0,4,1
Current State: 78:[83, 30], Operations: ['64-31=33', '33-3=30']
Exploring Operation: 83*30=2490, Resulting Numbers: [2490]
2490,78 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,78 unequal: No Solution
Exploring Operation: 83+30=113, Resulting Numbers: [113]
113,78 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 #0,4,2
Current State: 78:[3, 50], Operations: ['64-31=33', '83-33=50']
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,78 unequal: No Solution
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,78 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,78 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:[64, 31, 80], Operations: ['83-3=80']
Exploring Operation: 64-31=33, Resulting Numbers: [80, 33]
Generated Node #0,0,0: 78:[80, 33] Operation: 64-31=33
Exploring Operation: 64+31=95, Resulting Numbers: [80, 95]
Generated Node #0,0,1: 78:[80, 95] Operation: 64+31=95
Exploring Operation: 80-64=16, Resulting Numbers: [31, 16]
Generated Node #0,0,2: 78:[31, 16] Operation: 80-64=16
Exploring Operation: 80-31=49, Resulting Numbers: [64, 49]
Generated Node #0,0,3: 78:[64, 49] Operation: 80-31=49
Exploring Operation: 31+80=111, Resulting Numbers: [64, 111]
Generated Node #0,0,4: 78:[64, 111] Operation: 31+80=111
Moving to Node #0,0,0
Current State: 78:[80, 33], Operations: ['83-3=80', '64-31=33']
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 80*33=2640, Resulting Numbers: [2640]
2640,78 unequal: No Solution
Exploring Operation: 80+33=113, Resulting Numbers: [113]
113,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[31, 16], Operations: ['83-3=80', '80-64=16']
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,78 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[80, 95], Operations: ['83-3=80', '64+31=95']
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 80*95=7600, Resulting Numbers: [7600]
7600,78 unequal: No Solution
Exploring Operation: 80+95=175, Resulting Numbers: [175]
175,78 unequal: No Solution
Moving to Node #0,0,3
Current State: 78:[64, 49], Operations: ['83-3=80', '80-31=49']
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 64+49=113, Resulting Numbers: [113]
113,78 unequal: No Solution
Exploring Operation: 64*49=3136, Resulting Numbers: [3136]
3136,78 unequal: No Solution
Moving to Node #0,0,4
Current State: 78:[64, 111], Operations: ['83-3=80', '31+80=111']
Exploring Operation: 111-64=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 64*111=7104, Resulting Numbers: [7104]
7104,78 unequal: No Solution
Exploring Operation: 64+111=175, Resulting Numbers: [175]
175,78 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:[83, 31, 67], Operations: ['3+64=67']
Exploring Operation: 83+31=114, Resulting Numbers: [67, 114]
Generated Node #0,1,0: 78:[67, 114] Operation: 83+31=114
Exploring Operation: 83-67=16, Resulting Numbers: [31, 16]
Generated Node #0,1,1: 78:[31, 16] Operation: 83-67=16
Exploring Operation: 31+67=98, Resulting Numbers: [83, 98]
Generated Node #0,1,2: 78:[83, 98] Operation: 31+67=98
Exploring Operation: 83-31=52, Resulting Numbers: [67, 52]
Generated Node #0,1,3: 78:[67, 52] Operation: 83-31=52
Exploring Operation: 67-31=36, Resulting Numbers: [83, 36]
Generated Node #0,1,4: 78:[83, 36] Operation: 67-31=36
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[31, 16], Operations: ['3+64=67', '83-67=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,78 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,78 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 #0,1,4
Current State: 78:[83, 36], Operations: ['3+64=67', '67-31=36']
Exploring Operation: 83*36=2988, Resulting Numbers: [2988]
2988,78 unequal: No Solution
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 83+36=119, Resulting Numbers: [119]
119,78 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:[67, 52], Operations: ['3+64=67', '83-31=52']
Exploring Operation: 67*52=3484, Resulting Numbers: [3484]
3484,78 unequal: No Solution
Exploring Operation: 67+52=119, Resulting Numbers: [119]
119,78 unequal: No Solution
Exploring Operation: 67-52=15, Resulting Numbers: [15]
15,78 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 #0,1,2
Current State: 78:[83, 98], Operations: ['3+64=67', '31+67=98']
Exploring Operation: 83*98=8134, Resulting Numbers: [8134]
8134,78 unequal: No Solution
Exploring Operation: 98-83=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 83+98=181, Resulting Numbers: [181]
181,78 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:[67, 114], Operations: ['3+64=67', '83+31=114']
Exploring Operation: 67+114=181, Resulting Numbers: [181]
181,78 unequal: No Solution
Exploring Operation: 114-67=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 67*114=7638, Resulting Numbers: [7638]
7638,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[83, 64, 28], Operations: ['31-3=28']
Exploring Operation: 83-28=55, Resulting Numbers: [64, 55]
Generated Node #0,2,0: 78:[64, 55] Operation: 83-28=55
Exploring Operation: 83+28=111, Resulting Numbers: [64, 111]
Generated Node #0,2,1: 78:[64, 111] Operation: 83+28=111
Exploring Operation: 64-28=36, Resulting Numbers: [83, 36]
Generated Node #0,2,2: 78:[83, 36] Operation: 64-28=36
Exploring Operation: 83-64=19, Resulting Numbers: [28, 19]
Generated Node #0,2,3: 78:[28, 19] Operation: 83-64=19
Exploring Operation: 64+28=92, Resulting Numbers: [83, 92]
Generated Node #0,2,4: 78:[83, 92] Operation: 64+28=92
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[83, 36], Operations: ['31-3=28', '64-28=36']
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 83+36=119, Resulting Numbers: [119]
119,78 unequal: No Solution
Exploring Operation: 83*36=2988, Resulting Numbers: [2988]
2988,78 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 #0,2,3
Current State: 78:[28, 19], Operations: ['31-3=28', '83-64=19']
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,78 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 #0,2,4
Current State: 78:[83, 92], Operations: ['31-3=28', '64+28=92']
Exploring Operation: 83*92=7636, Resulting Numbers: [7636]
7636,78 unequal: No Solution
Exploring Operation: 92-83=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 83+92=175, Resulting Numbers: [175]
175,78 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 #0,2,0
Current State: 78:[64, 55], Operations: ['31-3=28', '83-28=55']
Exploring Operation: 64+55=119, Resulting Numbers: [119]
119,78 unequal: No Solution
Exploring Operation: 64-55=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 64*55=3520, Resulting Numbers: [3520]
3520,78 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 #0,2,1
Current State: 78:[64, 111], Operations: ['31-3=28', '83+28=111']
Exploring Operation: 111-64=47, Resulting Numbers: [47]
47,78 unequal: No Solution
Exploring Operation: 64+111=175, Resulting Numbers: [175]
175,78 unequal: No Solution
Exploring Operation: 64*111=7104, Resulting Numbers: [7104]
7104,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
5,
75,
70,
54
] | 79 | [
"75-70=5",
"5*5=25",
"54+25=79"
] | Current State: 79:[5, 75, 70, 54], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [5, 54, 5]
Generated Node #2: [5, 54, 5] from Operation: 75-70=5
Current State: 79:[5, 54, 5], Operations: ['75-70=5']
Exploring Operation: 5*5=25, Resulting Numbers: [54, 25]
Generated Node #3: [54, 25] from Operation: 5*5=25
Current State: 79:[54, 25], Operations: ['75-70=5', '5*5=25']
Exploring Operation: 54+25=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[5, 75, 70, 54], Operations: []
Exploring Operation: 75-5=70, Resulting Numbers: [70, 54, 70]
Generated Node #0,0: 79:[70, 54, 70] Operation: 75-5=70
Exploring Operation: 5+70=75, Resulting Numbers: [75, 54, 75]
Generated Node #0,1: 79:[75, 54, 75] Operation: 5+70=75
Exploring Operation: 5+54=59, Resulting Numbers: [75, 70, 59]
Generated Node #0,2: 79:[75, 70, 59] Operation: 5+54=59
Exploring Operation: 5+75=80, Resulting Numbers: [70, 54, 80]
Generated Node #0,3: 79:[70, 54, 80] Operation: 5+75=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[75, 54, 75], Operations: ['5+70=75']
Exploring Operation: 75-54=21, Resulting Numbers: [75, 21]
Generated Node #0,1,0: 79:[75, 21] Operation: 75-54=21
Exploring Operation: 54+75=129, Resulting Numbers: [75, 129]
Generated Node #0,1,1: 79:[75, 129] Operation: 54+75=129
Exploring Operation: 75+54=129, Resulting Numbers: [75, 129]
Generated Node #0,1,2: 79:[75, 129] Operation: 75+54=129
Exploring Operation: 75-54=21, Resulting Numbers: [75, 21]
Generated Node #0,1,3: 79:[75, 21] Operation: 75-54=21
Moving to Node #0,1,1
Current State: 79:[75, 129], Operations: ['5+70=75', '54+75=129']
Exploring Operation: 75+129=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Exploring Operation: 129-75=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 75*129=9675, Resulting Numbers: [9675]
9675,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[75, 129], Operations: ['5+70=75', '75+54=129']
Exploring Operation: 75+129=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Exploring Operation: 75*129=9675, Resulting Numbers: [9675]
9675,79 unequal: No Solution
Exploring Operation: 129-75=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[75, 21], Operations: ['5+70=75', '75-54=21']
Exploring Operation: 75+21=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Exploring Operation: 75*21=1575, Resulting Numbers: [1575]
1575,79 unequal: No Solution
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[75, 21], Operations: ['5+70=75', '75-54=21']
Exploring Operation: 75*21=1575, Resulting Numbers: [1575]
1575,79 unequal: No Solution
Exploring Operation: 75+21=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[75, 70, 59], Operations: ['5+54=59']
Exploring Operation: 75-59=16, Resulting Numbers: [70, 16]
Generated Node #0,2,0: 79:[70, 16] Operation: 75-59=16
Exploring Operation: 75+59=134, Resulting Numbers: [70, 134]
Generated Node #0,2,1: 79:[70, 134] Operation: 75+59=134
Exploring Operation: 70+59=129, Resulting Numbers: [75, 129]
Generated Node #0,2,2: 79:[75, 129] Operation: 70+59=129
Exploring Operation: 70-59=11, Resulting Numbers: [75, 11]
Generated Node #0,2,3: 79:[75, 11] Operation: 70-59=11
Moving to Node #0,2,2
Current State: 79:[75, 129], Operations: ['5+54=59', '70+59=129']
Exploring Operation: 75+129=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Exploring Operation: 129-75=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 75*129=9675, Resulting Numbers: [9675]
9675,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[70, 134], Operations: ['5+54=59', '75+59=134']
Exploring Operation: 134-70=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 70*134=9380, Resulting Numbers: [9380]
9380,79 unequal: No Solution
Exploring Operation: 70+134=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[75, 11], Operations: ['5+54=59', '70-59=11']
Exploring Operation: 75*11=825, Resulting Numbers: [825]
825,79 unequal: No Solution
Exploring Operation: 75+11=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[70, 16], Operations: ['5+54=59', '75-59=16']
Exploring Operation: 70*16=1120, Resulting Numbers: [1120]
1120,79 unequal: No Solution
Exploring Operation: 70+16=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,79 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 #0,3
Current State: 79:[70, 54, 80], Operations: ['5+75=80']
Exploring Operation: 54+80=134, Resulting Numbers: [70, 134]
Generated Node #0,3,0: 79:[70, 134] Operation: 54+80=134
Exploring Operation: 70+54=124, Resulting Numbers: [80, 124]
Generated Node #0,3,1: 79:[80, 124] Operation: 70+54=124
Exploring Operation: 80-54=26, Resulting Numbers: [70, 26]
Generated Node #0,3,2: 79:[70, 26] Operation: 80-54=26
Exploring Operation: 70-54=16, Resulting Numbers: [80, 16]
Generated Node #0,3,3: 79:[80, 16] Operation: 70-54=16
Moving to Node #0,3,1
Current State: 79:[80, 124], Operations: ['5+75=80', '70+54=124']
Exploring Operation: 124-80=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 80+124=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Exploring Operation: 80*124=9920, Resulting Numbers: [9920]
9920,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[70, 26], Operations: ['5+75=80', '80-54=26']
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[80, 16], Operations: ['5+75=80', '70-54=16']
Exploring Operation: 80/16=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 80+16=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Exploring Operation: 80*16=1280, Resulting Numbers: [1280]
1280,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[70, 134], Operations: ['5+75=80', '54+80=134']
Exploring Operation: 134-70=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 70+134=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Exploring Operation: 70*134=9380, Resulting Numbers: [9380]
9380,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[70, 54, 70], Operations: ['75-5=70']
Exploring Operation: 70-54=16, Resulting Numbers: [70, 16]
Generated Node #0,0,0: 79:[70, 16] Operation: 70-54=16
Exploring Operation: 70-54=16, Resulting Numbers: [70, 16]
Generated Node #0,0,1: 79:[70, 16] Operation: 70-54=16
Exploring Operation: 54+70=124, Resulting Numbers: [70, 124]
Generated Node #0,0,2: 79:[70, 124] Operation: 54+70=124
Exploring Operation: 70+54=124, Resulting Numbers: [70, 124]
Generated Node #0,0,3: 79:[70, 124] Operation: 70+54=124
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 79:[70, 124], Operations: ['75-5=70', '54+70=124']
Exploring Operation: 124-70=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 70+124=194, Resulting Numbers: [194]
194,79 unequal: No Solution
Exploring Operation: 70*124=8680, Resulting Numbers: [8680]
8680,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 79:[70, 124], Operations: ['75-5=70', '70+54=124']
Exploring Operation: 70+124=194, Resulting Numbers: [194]
194,79 unequal: No Solution
Exploring Operation: 124-70=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 70*124=8680, Resulting Numbers: [8680]
8680,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[70, 16], Operations: ['75-5=70', '70-54=16']
Exploring Operation: 70*16=1120, Resulting Numbers: [1120]
1120,79 unequal: No Solution
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 70+16=86, Resulting Numbers: [86]
86,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[70, 16], Operations: ['75-5=70', '70-54=16']
Exploring Operation: 70+16=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 70*16=1120, Resulting Numbers: [1120]
1120,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
60,
20,
29,
5
] | 33 | [
"20-5=15",
"60/15=4",
"29+4=33"
] | Current State: 33:[60, 20, 29, 5], Operations: []
Exploring Operation: 20-5=15, Resulting Numbers: [60, 29, 15]
Generated Node #2: [60, 29, 15] from Operation: 20-5=15
Current State: 33:[60, 29, 15], Operations: ['20-5=15']
Exploring Operation: 60/15=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 60/15=4
Current State: 33:[29, 4], Operations: ['20-5=15', '60/15=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[60, 20, 29, 5], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [29, 5, 3]
Generated Node #0,0: 33:[29, 5, 3] Operation: 60/20=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[29, 5, 3], Operations: ['60/20=3']
Exploring Operation: 29+5=34, Resulting Numbers: [3, 34]
Generated Node #0,0,0: 33:[3, 34] Operation: 29+5=34
Moving to Node #0,0,0
Current State: 33:[3, 34], Operations: ['60/20=3', '29+5=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
10,
77,
3
] | 31 | [
"77-16=61",
"10*3=30",
"61-30=31"
] | Current State: 31:[16, 10, 77, 3], Operations: []
Exploring Operation: 77-16=61, Resulting Numbers: [10, 3, 61]
Generated Node #2: [10, 3, 61] from Operation: 77-16=61
Current State: 31:[10, 3, 61], Operations: ['77-16=61']
Exploring Operation: 10*3=30, Resulting Numbers: [61, 30]
Generated Node #3: [61, 30] from Operation: 10*3=30
Current State: 31:[61, 30], Operations: ['77-16=61', '10*3=30']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[16, 10, 77, 3], Operations: []
Exploring Operation: 16+10=26, Resulting Numbers: [77, 3, 26]
Generated Node #0,0: 31:[77, 3, 26] Operation: 16+10=26
Exploring Operation: 10*3=30, Resulting Numbers: [16, 77, 30]
Generated Node #0,1: 31:[16, 77, 30] Operation: 10*3=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[16, 77, 30], Operations: ['10*3=30']
Exploring Operation: 77-16=61, Resulting Numbers: [30, 61]
Generated Node #0,1,0: 31:[30, 61] Operation: 77-16=61
Exploring Operation: 77-30=47, Resulting Numbers: [16, 47]
Generated Node #0,1,1: 31:[16, 47] Operation: 77-30=47
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[30, 61], Operations: ['10*3=30', '77-16=61']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[16, 10, 77, 3], Operations: []
Exploring Operation: 10*3=30, Resulting Numbers: [16, 77, 30]
Generated Node #0,1: 31:[16, 77, 30] Operation: 10*3=30
Moving to Node #0,1
Current State: 31:[16, 77, 30], Operations: ['10*3=30']
Exploring Operation: 77-16=61, Resulting Numbers: [30, 61]
Generated Node #0,1,0: 31:[30, 61] Operation: 77-16=61
Moving to Node #0,1,0
Current State: 31:[30, 61], Operations: ['10*3=30', '77-16=61']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
41,
14,
96,
68
] | 43 | [
"96-68=28",
"28/14=2",
"41+2=43"
] | Current State: 43:[41, 14, 96, 68], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [41, 14, 28]
Generated Node #2: [41, 14, 28] from Operation: 96-68=28
Current State: 43:[41, 14, 28], Operations: ['96-68=28']
Exploring Operation: 28/14=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 28/14=2
Current State: 43:[41, 2], Operations: ['96-68=28', '28/14=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[41, 14, 96, 68], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [41, 14, 28]
Generated Node #0,0: 43:[41, 14, 28] Operation: 96-68=28
Exploring Operation: 96-41=55, Resulting Numbers: [14, 68, 55]
Generated Node #0,1: 43:[14, 68, 55] Operation: 96-41=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[41, 14, 28], Operations: ['96-68=28']
Exploring Operation: 14+28=42, Resulting Numbers: [41, 42]
Generated Node #0,0,0: 43:[41, 42] Operation: 14+28=42
Exploring Operation: 41+14=55, Resulting Numbers: [28, 55]
Generated Node #0,0,1: 43:[28, 55] Operation: 41+14=55
Moving to Node #0,0,0
Current State: 43:[41, 42], Operations: ['96-68=28', '14+28=42']
Exploring Operation: 41+42=83, Resulting Numbers: [83]
83,43 unequal: No Solution
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[28, 55], Operations: ['96-68=28', '41+14=55']
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,43 unequal: No Solution
Exploring Operation: 28+55=83, Resulting Numbers: [83]
83,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[14, 68, 55], Operations: ['96-41=55']
Exploring Operation: 68-14=54, Resulting Numbers: [55, 54]
Generated Node #0,1,0: 43:[55, 54] Operation: 68-14=54
Exploring Operation: 55-14=41, Resulting Numbers: [68, 41]
Generated Node #0,1,1: 43:[68, 41] Operation: 55-14=41
Moving to Node #0,1,0
Current State: 43:[55, 54], Operations: ['96-41=55', '68-14=54']
Exploring Operation: 55+54=109, Resulting Numbers: [109]
109,43 unequal: No Solution
Exploring Operation: 55-54=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[68, 41], Operations: ['96-41=55', '55-14=41']
Exploring Operation: 68+41=109, Resulting Numbers: [109]
109,43 unequal: No Solution
Exploring Operation: 68-41=27, Resulting Numbers: [27]
27,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
44,
44,
51,
82
] | 18 | [
"51-44=7",
"44+82=126",
"126/7=18"
] | Current State: 18:[44, 44, 51, 82], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [82, 7]
Generated Node #2: [82, 7] from Operation: 51-44=7
Current State: 18:[82, 7], Operations: ['51-44=7']
Exploring Operation: 44+82=126, Resulting Numbers: [7, 126]
Generated Node #3: [7, 126] from Operation: 44+82=126
Current State: 18:[7, 126], Operations: ['51-44=7', '44+82=126']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[44, 44, 51, 82], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [44, 82, 7]
Generated Node #0,0: 18:[44, 82, 7] Operation: 51-44=7
Exploring Operation: 82-51=31, Resulting Numbers: [44, 44, 31]
Generated Node #0,1: 18:[44, 44, 31] Operation: 82-51=31
Exploring Operation: 82-44=38, Resulting Numbers: [44, 51, 38]
Generated Node #0,2: 18:[44, 51, 38] Operation: 82-44=38
Exploring Operation: 82-44=38, Resulting Numbers: [44, 51, 38]
Generated Node #0,3: 18:[44, 51, 38] Operation: 82-44=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[44, 44, 31], Operations: ['82-51=31']
Exploring Operation: 44-31=13, Resulting Numbers: [44, 13]
Generated Node #0,1,0: 18:[44, 13] Operation: 44-31=13
Exploring Operation: 44-44=0, Resulting Numbers: [31, 0]
Generated Node #0,1,1: 18:[31, 0] Operation: 44-44=0
Exploring Operation: 44-31=13, Resulting Numbers: [44, 13]
Generated Node #0,1,2: 18:[44, 13] Operation: 44-31=13
Exploring Operation: 44/44=1, Resulting Numbers: [31, 1]
Generated Node #0,1,3: 18:[31, 1] Operation: 44/44=1
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 18:[31, 1], Operations: ['82-51=31', '44/44=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,18 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,18 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:[31, 0], Operations: ['82-51=31', '44-44=0']
Exploring Operation: 31*0=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 31+0=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 31-0=31, Resulting Numbers: [31]
31,18 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:[44, 13], Operations: ['82-51=31', '44-31=13']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,18 unequal: No Solution
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,18 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:[44, 13], Operations: ['82-51=31', '44-31=13']
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,18 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 #0,2
Current State: 18:[44, 51, 38], Operations: ['82-44=38']
Exploring Operation: 44-38=6, Resulting Numbers: [51, 6]
Generated Node #0,2,0: 18:[51, 6] Operation: 44-38=6
Exploring Operation: 51-44=7, Resulting Numbers: [38, 7]
Generated Node #0,2,1: 18:[38, 7] Operation: 51-44=7
Exploring Operation: 51-38=13, Resulting Numbers: [44, 13]
Generated Node #0,2,2: 18:[44, 13] Operation: 51-38=13
Exploring Operation: 44+51=95, Resulting Numbers: [38, 95]
Generated Node #0,2,3: 18:[38, 95] Operation: 44+51=95
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 18:[38, 7], Operations: ['82-44=38', '51-44=7']
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,18 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 #0,2,2
Current State: 18:[44, 13], Operations: ['82-44=38', '51-38=13']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,18 unequal: No Solution
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,18 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 #0,2,0
Current State: 18:[51, 6], Operations: ['82-44=38', '44-38=6']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,18 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 #0,2,3
Current State: 18:[38, 95], Operations: ['82-44=38', '44+51=95']
Exploring Operation: 38*95=3610, Resulting Numbers: [3610]
3610,18 unequal: No Solution
Exploring Operation: 38+95=133, Resulting Numbers: [133]
133,18 unequal: No Solution
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,18 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 #0,3
Current State: 18:[44, 51, 38], Operations: ['82-44=38']
Exploring Operation: 44+51=95, Resulting Numbers: [38, 95]
Generated Node #0,3,0: 18:[38, 95] Operation: 44+51=95
Exploring Operation: 51-38=13, Resulting Numbers: [44, 13]
Generated Node #0,3,1: 18:[44, 13] Operation: 51-38=13
Exploring Operation: 51-44=7, Resulting Numbers: [38, 7]
Generated Node #0,3,2: 18:[38, 7] Operation: 51-44=7
Exploring Operation: 44-38=6, Resulting Numbers: [51, 6]
Generated Node #0,3,3: 18:[51, 6] Operation: 44-38=6
Moving to Node #0,3,2
Current State: 18:[38, 7], Operations: ['82-44=38', '51-44=7']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,18 unequal: No Solution
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[44, 13], Operations: ['82-44=38', '51-38=13']
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,18 unequal: No Solution
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[51, 6], Operations: ['82-44=38', '44-38=6']
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,18 unequal: No Solution
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Moving to Node #0,3,0
Current State: 18:[38, 95], Operations: ['82-44=38', '44+51=95']
Exploring Operation: 38*95=3610, Resulting Numbers: [3610]
3610,18 unequal: No Solution
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 38+95=133, Resulting Numbers: [133]
133,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[44, 82, 7], Operations: ['51-44=7']
Exploring Operation: 82-44=38, Resulting Numbers: [7, 38]
Generated Node #0,0,0: 18:[7, 38] Operation: 82-44=38
Exploring Operation: 44+7=51, Resulting Numbers: [82, 51]
Generated Node #0,0,1: 18:[82, 51] Operation: 44+7=51
Exploring Operation: 82-7=75, Resulting Numbers: [44, 75]
Generated Node #0,0,2: 18:[44, 75] Operation: 82-7=75
Exploring Operation: 44-7=37, Resulting Numbers: [82, 37]
Generated Node #0,0,3: 18:[82, 37] Operation: 44-7=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[7, 38], Operations: ['51-44=7', '82-44=38']
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,18 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,18 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 #0,0,2
Current State: 18:[44, 75], Operations: ['51-44=7', '82-7=75']
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 44*75=3300, Resulting Numbers: [3300]
3300,18 unequal: No Solution
Exploring Operation: 44+75=119, Resulting Numbers: [119]
119,18 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 #0,0,3
Current State: 18:[82, 37], Operations: ['51-44=7', '44-7=37']
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 82*37=3034, Resulting Numbers: [3034]
3034,18 unequal: No Solution
Exploring Operation: 82+37=119, Resulting Numbers: [119]
119,18 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 #0,0,1
Current State: 18:[82, 51], Operations: ['51-44=7', '44+7=51']
Exploring Operation: 82*51=4182, Resulting Numbers: [4182]
4182,18 unequal: No Solution
Exploring Operation: 82+51=133, Resulting Numbers: [133]
133,18 unequal: No Solution
Exploring Operation: 82-51=31, Resulting Numbers: [31]
31,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
31,
8,
3,
9
] | 13 | [
"31+8=39",
"9/3=3",
"39/3=13"
] | Current State: 13:[31, 8, 3, 9], Operations: []
Exploring Operation: 31+8=39, Resulting Numbers: [3, 9, 39]
Generated Node #2: [3, 9, 39] from Operation: 31+8=39
Current State: 13:[3, 9, 39], Operations: ['31+8=39']
Exploring Operation: 9/3=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 9/3=3
Current State: 13:[39, 3], Operations: ['31+8=39', '9/3=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[31, 8, 3, 9], Operations: []
Exploring Operation: 31-3=28, Resulting Numbers: [8, 9, 28]
Generated Node #0,0: 13:[8, 9, 28] Operation: 31-3=28
Exploring Operation: 31-9=22, Resulting Numbers: [8, 3, 22]
Generated Node #0,1: 13:[8, 3, 22] Operation: 31-9=22
Exploring Operation: 31-8=23, Resulting Numbers: [3, 9, 23]
Generated Node #0,2: 13:[3, 9, 23] Operation: 31-8=23
Exploring Operation: 8+3=11, Resulting Numbers: [31, 9, 11]
Generated Node #0,3: 13:[31, 9, 11] Operation: 8+3=11
Exploring Operation: 3+9=12, Resulting Numbers: [31, 8, 12]
Generated Node #0,4: 13:[31, 8, 12] Operation: 3+9=12
Moving to Node #0,0
Current State: 13:[8, 9, 28], Operations: ['31-3=28']
Exploring Operation: 8+28=36, Resulting Numbers: [9, 36]
Generated Node #0,0,0: 13:[9, 36] Operation: 8+28=36
Exploring Operation: 28-9=19, Resulting Numbers: [8, 19]
Generated Node #0,0,1: 13:[8, 19] Operation: 28-9=19
Exploring Operation: 8+9=17, Resulting Numbers: [28, 17]
Generated Node #0,0,2: 13:[28, 17] Operation: 8+9=17
Exploring Operation: 9-8=1, Resulting Numbers: [28, 1]
Generated Node #0,0,3: 13:[28, 1] Operation: 9-8=1
Exploring Operation: 28-8=20, Resulting Numbers: [9, 20]
Generated Node #0,0,4: 13:[9, 20] Operation: 28-8=20
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[8, 19], Operations: ['31-3=28', '28-9=19']
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,13 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,13 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 #0,0,4
Current State: 13:[9, 20], Operations: ['31-3=28', '28-8=20']
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 9*20=180, Resulting Numbers: [180]
180,13 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 #0,0,2
Current State: 13:[28, 17], Operations: ['31-3=28', '8+9=17']
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,13 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 28*17=476, Resulting Numbers: [476]
476,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[9, 36], Operations: ['31-3=28', '8+28=36']
Exploring Operation: 9*36=324, Resulting Numbers: [324]
324,13 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,13 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,13 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 #0,0,3
Current State: 13:[28, 1], Operations: ['31-3=28', '9-8=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,13 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: 13:[3, 9, 23], Operations: ['31-8=23']
Exploring Operation: 23-9=14, Resulting Numbers: [3, 14]
Generated Node #0,2,0: 13:[3, 14] Operation: 23-9=14
Exploring Operation: 9-3=6, Resulting Numbers: [23, 6]
Generated Node #0,2,1: 13:[23, 6] Operation: 9-3=6
Exploring Operation: 3+23=26, Resulting Numbers: [9, 26]
Generated Node #0,2,2: 13:[9, 26] Operation: 3+23=26
Exploring Operation: 3+9=12, Resulting Numbers: [23, 12]
Generated Node #0,2,3: 13:[23, 12] Operation: 3+9=12
Exploring Operation: 23-3=20, Resulting Numbers: [9, 20]
Generated Node #0,2,4: 13:[9, 20] Operation: 23-3=20
Moving to Node #0,4
Current State: 13:[31, 8, 12], Operations: ['3+9=12']
Exploring Operation: 31+8=39, Resulting Numbers: [12, 39]
Generated Node #0,4,0: 13:[12, 39] Operation: 31+8=39
Exploring Operation: 12-8=4, Resulting Numbers: [31, 4]
Generated Node #0,4,1: 13:[31, 4] Operation: 12-8=4
Exploring Operation: 31-12=19, Resulting Numbers: [8, 19]
Generated Node #0,4,2: 13:[8, 19] Operation: 31-12=19
Exploring Operation: 31-8=23, Resulting Numbers: [12, 23]
Generated Node #0,4,3: 13:[12, 23] Operation: 31-8=23
Exploring Operation: 8+12=20, Resulting Numbers: [31, 20]
Generated Node #0,4,4: 13:[31, 20] Operation: 8+12=20
Moving to Node #0,1
Current State: 13:[8, 3, 22], Operations: ['31-9=22']
Exploring Operation: 8-3=5, Resulting Numbers: [22, 5]
Generated Node #0,1,0: 13:[22, 5] Operation: 8-3=5
Exploring Operation: 22-8=14, Resulting Numbers: [3, 14]
Generated Node #0,1,1: 13:[3, 14] Operation: 22-8=14
Exploring Operation: 3+22=25, Resulting Numbers: [8, 25]
Generated Node #0,1,2: 13:[8, 25] Operation: 3+22=25
Exploring Operation: 22-3=19, Resulting Numbers: [8, 19]
Generated Node #0,1,3: 13:[8, 19] Operation: 22-3=19
Exploring Operation: 8+3=11, Resulting Numbers: [22, 11]
Generated Node #0,1,4: 13:[22, 11] Operation: 8+3=11
Moving to Node #0,3
Current State: 13:[31, 9, 11], Operations: ['8+3=11']
Exploring Operation: 31-11=20, Resulting Numbers: [9, 20]
Generated Node #0,3,0: 13:[9, 20] Operation: 31-11=20
Exploring Operation: 9+11=20, Resulting Numbers: [31, 20]
Generated Node #0,3,1: 13:[31, 20] Operation: 9+11=20
Exploring Operation: 31-9=22, Resulting Numbers: [11, 22]
Generated Node #0,3,2: 13:[11, 22] Operation: 31-9=22
Exploring Operation: 31+9=40, Resulting Numbers: [11, 40]
Generated Node #0,3,3: 13:[11, 40] Operation: 31+9=40
Exploring Operation: 11-9=2, Resulting Numbers: [31, 2]
Generated Node #0,3,4: 13:[31, 2] Operation: 11-9=2
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 13:[9, 20], Operations: ['8+3=11', '31-11=20']
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 9*20=180, Resulting Numbers: [180]
180,13 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,13 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 #0,3,2
Current State: 13:[11, 22], Operations: ['8+3=11', '31-9=22']
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,13 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 11*22=242, Resulting Numbers: [242]
242,13 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,13 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 #0,3,1
Current State: 13:[31, 20], Operations: ['8+3=11', '9+11=20']
Exploring Operation: 31*20=620, Resulting Numbers: [620]
620,13 unequal: No Solution
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,13 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 #0,3,3
Current State: 13:[11, 40], Operations: ['8+3=11', '31+9=40']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,13 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 #0,3,4
Current State: 13:[31, 2], Operations: ['8+3=11', '11-9=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,13 unequal: No Solution
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,13 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 13:[3, 14], Operations: ['31-8=23', '23-9=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,13 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Moving to Node #0,2,4
Current State: 13:[9, 20], Operations: ['31-8=23', '23-3=20']
Exploring Operation: 9*20=180, Resulting Numbers: [180]
180,13 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Moving to Node #0,4,3
Current State: 13:[12, 23], Operations: ['3+9=12', '31-8=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,13 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Moving to Node #0,4,2
Current State: 13:[8, 19], Operations: ['3+9=12', '31-12=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,13 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Moving to Node #0,1,4
Current State: 13:[22, 11], Operations: ['31-9=22', '8+3=11']
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,13 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,13 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Moving to Node #0,1,3
Current State: 13:[8, 19], Operations: ['31-9=22', '22-3=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,13 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Moving to Node #0,2,3
Current State: 13:[23, 12], Operations: ['31-8=23', '3+9=12']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,13 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[3, 14], Operations: ['31-9=22', '22-8=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[22, 5], Operations: ['31-9=22', '8-3=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,13 unequal: No Solution
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[9, 26], Operations: ['31-8=23', '3+23=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,13 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[8, 25], Operations: ['31-9=22', '3+22=25']
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,13 unequal: No Solution
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,13 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[23, 6], Operations: ['31-8=23', '9-3=6']
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,13 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,13 unequal: No Solution
Moving to Node #0,4,4
Current State: 13:[31, 20], Operations: ['3+9=12', '8+12=20']
Exploring Operation: 31*20=620, Resulting Numbers: [620]
620,13 unequal: No Solution
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Moving to Node #0,4,1
Current State: 13:[31, 4], Operations: ['3+9=12', '12-8=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,13 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Moving to Node #0,4,0
Current State: 13:[12, 39], Operations: ['3+9=12', '31+8=39']
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 12*39=468, Resulting Numbers: [468]
468,13 unequal: No Solution
Exploring Operation: 12+39=51, Resulting Numbers: [51]
51,13 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
74,
61,
32,
83
] | 84 | [
"74+61=135",
"83-32=51",
"135-51=84"
] | Current State: 84:[74, 61, 32, 83], Operations: []
Exploring Operation: 74+61=135, Resulting Numbers: [32, 83, 135]
Generated Node #2: [32, 83, 135] from Operation: 74+61=135
Current State: 84:[32, 83, 135], Operations: ['74+61=135']
Exploring Operation: 83-32=51, Resulting Numbers: [135, 51]
Generated Node #3: [135, 51] from Operation: 83-32=51
Current State: 84:[135, 51], Operations: ['74+61=135', '83-32=51']
Exploring Operation: 135-51=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[74, 61, 32, 83], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [74, 32, 22]
Generated Node #0,0: 84:[74, 32, 22] Operation: 83-61=22
Exploring Operation: 74-32=42, Resulting Numbers: [61, 83, 42]
Generated Node #0,1: 84:[61, 83, 42] Operation: 74-32=42
Exploring Operation: 74-61=13, Resulting Numbers: [32, 83, 13]
Generated Node #0,2: 84:[32, 83, 13] Operation: 74-61=13
Exploring Operation: 61-32=29, Resulting Numbers: [74, 83, 29]
Generated Node #0,3: 84:[74, 83, 29] Operation: 61-32=29
Moving to Node #0,2
Current State: 84:[32, 83, 13], Operations: ['74-61=13']
Exploring Operation: 32+13=45, Resulting Numbers: [83, 45]
Generated Node #0,2,0: 84:[83, 45] Operation: 32+13=45
Exploring Operation: 83-32=51, Resulting Numbers: [13, 51]
Generated Node #0,2,1: 84:[13, 51] Operation: 83-32=51
Exploring Operation: 83+13=96, Resulting Numbers: [32, 96]
Generated Node #0,2,2: 84:[32, 96] Operation: 83+13=96
Exploring Operation: 32-13=19, Resulting Numbers: [83, 19]
Generated Node #0,2,3: 84:[83, 19] Operation: 32-13=19
Moving to Node #0,3
Current State: 84:[74, 83, 29], Operations: ['61-32=29']
Exploring Operation: 83-74=9, Resulting Numbers: [29, 9]
Generated Node #0,3,0: 84:[29, 9] Operation: 83-74=9
Exploring Operation: 74+29=103, Resulting Numbers: [83, 103]
Generated Node #0,3,1: 84:[83, 103] Operation: 74+29=103
Exploring Operation: 74-29=45, Resulting Numbers: [83, 45]
Generated Node #0,3,2: 84:[83, 45] Operation: 74-29=45
Exploring Operation: 83-29=54, Resulting Numbers: [74, 54]
Generated Node #0,3,3: 84:[74, 54] Operation: 83-29=54
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 84:[29, 9], Operations: ['61-32=29', '83-74=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,84 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 84:[83, 45], Operations: ['61-32=29', '74-29=45']
Exploring Operation: 83+45=128, Resulting Numbers: [128]
128,84 unequal: No Solution
Exploring Operation: 83*45=3735, Resulting Numbers: [3735]
3735,84 unequal: No Solution
Exploring Operation: 83-45=38, Resulting Numbers: [38]
38,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 84:[83, 103], Operations: ['61-32=29', '74+29=103']
Exploring Operation: 83+103=186, Resulting Numbers: [186]
186,84 unequal: No Solution
Exploring Operation: 83*103=8549, Resulting Numbers: [8549]
8549,84 unequal: No Solution
Exploring Operation: 103-83=20, Resulting Numbers: [20]
20,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 84:[74, 54], Operations: ['61-32=29', '83-29=54']
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 74*54=3996, Resulting Numbers: [3996]
3996,84 unequal: No Solution
Exploring Operation: 74+54=128, Resulting Numbers: [128]
128,84 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: 84:[74, 32, 22], Operations: ['83-61=22']
Exploring Operation: 74+22=96, Resulting Numbers: [32, 96]
Generated Node #0,0,0: 84:[32, 96] Operation: 74+22=96
Exploring Operation: 74-32=42, Resulting Numbers: [22, 42]
Generated Node #0,0,1: 84:[22, 42] Operation: 74-32=42
Exploring Operation: 32-22=10, Resulting Numbers: [74, 10]
Generated Node #0,0,2: 84:[74, 10] Operation: 32-22=10
Exploring Operation: 74-22=52, Resulting Numbers: [32, 52]
Generated Node #0,0,3: 84:[32, 52] Operation: 74-22=52
Moving to Node #0,1
Current State: 84:[61, 83, 42], Operations: ['74-32=42']
Exploring Operation: 61-42=19, Resulting Numbers: [83, 19]
Generated Node #0,1,0: 84:[83, 19] Operation: 61-42=19
Exploring Operation: 61+42=103, Resulting Numbers: [83, 103]
Generated Node #0,1,1: 84:[83, 103] Operation: 61+42=103
Exploring Operation: 83-61=22, Resulting Numbers: [42, 22]
Generated Node #0,1,2: 84:[42, 22] Operation: 83-61=22
Exploring Operation: 83-42=41, Resulting Numbers: [61, 41]
Generated Node #0,1,3: 84:[61, 41] Operation: 83-42=41
Moving to Node #0,0,1
Current State: 84:[22, 42], Operations: ['83-61=22', '74-32=42']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 22*42=924, Resulting Numbers: [924]
924,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[42, 22], Operations: ['74-32=42', '83-61=22']
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,84 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[83, 19], Operations: ['74-32=42', '61-42=19']
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 83*19=1577, Resulting Numbers: [1577]
1577,84 unequal: No Solution
Exploring Operation: 83+19=102, Resulting Numbers: [102]
102,84 unequal: No Solution
Moving to Node #0,2,3
Current State: 84:[83, 19], Operations: ['74-61=13', '32-13=19']
Exploring Operation: 83+19=102, Resulting Numbers: [102]
102,84 unequal: No Solution
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 83*19=1577, Resulting Numbers: [1577]
1577,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[83, 45], Operations: ['74-61=13', '32+13=45']
Exploring Operation: 83-45=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 83+45=128, Resulting Numbers: [128]
128,84 unequal: No Solution
Exploring Operation: 83*45=3735, Resulting Numbers: [3735]
3735,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[13, 51], Operations: ['74-61=13', '83-32=51']
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 13*51=663, Resulting Numbers: [663]
663,84 unequal: No Solution
Exploring Operation: 13+51=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[74, 10], Operations: ['83-61=22', '32-22=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,84 unequal: No Solution
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[74, 61, 32, 83], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [74, 32, 22]
Generated Node #0,0: 84:[74, 32, 22] Operation: 83-61=22
Moving to Node #0,0
Current State: 84:[74, 32, 22], Operations: ['83-61=22']
Exploring Operation: 32-22=10, Resulting Numbers: [74, 10]
Generated Node #0,0,2: 84:[74, 10] Operation: 32-22=10
Moving to Node #0,0,2
Current State: 84:[74, 10], Operations: ['83-61=22', '32-22=10']
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.950521 | hs_4 | sum_heuristic |
[
3,
46,
22,
50
] | 34 | [
"50-46=4",
"3*4=12",
"22+12=34"
] | Current State: 34:[3, 46, 22, 50], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [3, 22, 4]
Generated Node #2: [3, 22, 4] from Operation: 50-46=4
Current State: 34:[3, 22, 4], Operations: ['50-46=4']
Exploring Operation: 3*4=12, Resulting Numbers: [22, 12]
Generated Node #3: [22, 12] from Operation: 3*4=12
Current State: 34:[22, 12], Operations: ['50-46=4', '3*4=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[3, 46, 22, 50], Operations: []
Exploring Operation: 50-22=28, Resulting Numbers: [3, 46, 28]
Generated Node #0,0: 34:[3, 46, 28] Operation: 50-22=28
Exploring Operation: 50-46=4, Resulting Numbers: [3, 22, 4]
Generated Node #0,1: 34:[3, 22, 4] Operation: 50-46=4
Moving to Node #0,1
Current State: 34:[3, 22, 4], Operations: ['50-46=4']
Exploring Operation: 22-3=19, Resulting Numbers: [4, 19]
Generated Node #0,1,0: 34:[4, 19] Operation: 22-3=19
Exploring Operation: 22-4=18, Resulting Numbers: [3, 18]
Generated Node #0,1,1: 34:[3, 18] Operation: 22-4=18
Moving to Node #0,0
Current State: 34:[3, 46, 28], Operations: ['50-22=28']
Exploring Operation: 46-28=18, Resulting Numbers: [3, 18]
Generated Node #0,0,0: 34:[3, 18] Operation: 46-28=18
Exploring Operation: 46-3=43, Resulting Numbers: [28, 43]
Generated Node #0,0,1: 34:[28, 43] Operation: 46-3=43
Moving to Node #0,1,1
Current State: 34:[3, 18], Operations: ['50-46=4', '22-4=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[3, 18], Operations: ['50-22=28', '46-28=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[4, 19], Operations: ['50-46=4', '22-3=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,34 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[28, 43], Operations: ['50-22=28', '46-3=43']
Exploring Operation: 28+43=71, Resulting Numbers: [71]
71,34 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,34 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
96,
34,
70,
1
] | 98 | [
"34+1=35",
"70/35=2",
"96+2=98"
] | Current State: 98:[96, 34, 70, 1], Operations: []
Exploring Operation: 34+1=35, Resulting Numbers: [96, 70, 35]
Generated Node #2: [96, 70, 35] from Operation: 34+1=35
Current State: 98:[96, 70, 35], Operations: ['34+1=35']
Exploring Operation: 70/35=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 70/35=2
Current State: 98:[96, 2], Operations: ['34+1=35', '70/35=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[96, 34, 70, 1], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [96, 1, 36]
Generated Node #0,0: 98:[96, 1, 36] Operation: 70-34=36
Exploring Operation: 96-34=62, Resulting Numbers: [70, 1, 62]
Generated Node #0,1: 98:[70, 1, 62] Operation: 96-34=62
Exploring Operation: 96-70=26, Resulting Numbers: [34, 1, 26]
Generated Node #0,2: 98:[34, 1, 26] Operation: 96-70=26
Exploring Operation: 34+70=104, Resulting Numbers: [96, 1, 104]
Generated Node #0,3: 98:[96, 1, 104] Operation: 34+70=104
Moving to Node #0,3
Current State: 98:[96, 1, 104], Operations: ['34+70=104']
Exploring Operation: 104-96=8, Resulting Numbers: [1, 8]
Generated Node #0,3,0: 98:[1, 8] Operation: 104-96=8
Exploring Operation: 104-1=103, Resulting Numbers: [96, 103]
Generated Node #0,3,1: 98:[96, 103] Operation: 104-1=103
Exploring Operation: 96+1=97, Resulting Numbers: [104, 97]
Generated Node #0,3,2: 98:[104, 97] Operation: 96+1=97
Exploring Operation: 96*1=96, Resulting Numbers: [104, 96]
Generated Node #0,3,3: 98:[104, 96] Operation: 96*1=96
Moving to Node #0,0
Current State: 98:[96, 1, 36], Operations: ['70-34=36']
Exploring Operation: 96+1=97, Resulting Numbers: [36, 97]
Generated Node #0,0,0: 98:[36, 97] Operation: 96+1=97
Exploring Operation: 96*1=96, Resulting Numbers: [36, 96]
Generated Node #0,0,1: 98:[36, 96] Operation: 96*1=96
Exploring Operation: 1+36=37, Resulting Numbers: [96, 37]
Generated Node #0,0,2: 98:[96, 37] Operation: 1+36=37
Exploring Operation: 96-36=60, Resulting Numbers: [1, 60]
Generated Node #0,0,3: 98:[1, 60] Operation: 96-36=60
Moving to Node #0,2
Current State: 98:[34, 1, 26], Operations: ['96-70=26']
Exploring Operation: 34-26=8, Resulting Numbers: [1, 8]
Generated Node #0,2,0: 98:[1, 8] Operation: 34-26=8
Exploring Operation: 34+1=35, Resulting Numbers: [26, 35]
Generated Node #0,2,1: 98:[26, 35] Operation: 34+1=35
Exploring Operation: 34+26=60, Resulting Numbers: [1, 60]
Generated Node #0,2,2: 98:[1, 60] Operation: 34+26=60
Exploring Operation: 26-1=25, Resulting Numbers: [34, 25]
Generated Node #0,2,3: 98:[34, 25] Operation: 26-1=25
Moving to Node #0,1
Current State: 98:[70, 1, 62], Operations: ['96-34=62']
Exploring Operation: 70*1=70, Resulting Numbers: [62, 70]
Generated Node #0,1,0: 98:[62, 70] Operation: 70*1=70
Exploring Operation: 70-1=69, Resulting Numbers: [62, 69]
Generated Node #0,1,1: 98:[62, 69] Operation: 70-1=69
Exploring Operation: 70-62=8, Resulting Numbers: [1, 8]
Generated Node #0,1,2: 98:[1, 8] Operation: 70-62=8
Exploring Operation: 62-1=61, Resulting Numbers: [70, 61]
Generated Node #0,1,3: 98:[70, 61] Operation: 62-1=61
Moving to Node #0,3,0
Current State: 98:[1, 8], Operations: ['34+70=104', '104-96=8']
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[1, 8], Operations: ['96-34=62', '70-62=8']
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[1, 8], Operations: ['96-70=26', '34-26=8']
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[104, 97], Operations: ['34+70=104', '96+1=97']
Exploring Operation: 104+97=201, Resulting Numbers: [201]
201,98 unequal: No Solution
Exploring Operation: 104-97=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 104*97=10088, Resulting Numbers: [10088]
10088,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[96, 103], Operations: ['34+70=104', '104-1=103']
Exploring Operation: 96+103=199, Resulting Numbers: [199]
199,98 unequal: No Solution
Exploring Operation: 96*103=9888, Resulting Numbers: [9888]
9888,98 unequal: No Solution
Exploring Operation: 103-96=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Moving to Node #0,3,3
Current State: 98:[104, 96], Operations: ['34+70=104', '96*1=96']
Exploring Operation: 104-96=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 104*96=9984, Resulting Numbers: [9984]
9984,98 unequal: No Solution
Exploring Operation: 104+96=200, Resulting Numbers: [200]
200,98 unequal: No Solution
Moving to Node #0,0,3
Current State: 98:[1, 60], Operations: ['70-34=36', '96-36=60']
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 1+60=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 1*60=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[1, 60], Operations: ['96-70=26', '34+26=60']
Exploring Operation: 1+60=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 1*60=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[96, 37], Operations: ['70-34=36', '1+36=37']
Exploring Operation: 96+37=133, Resulting Numbers: [133]
133,98 unequal: No Solution
Exploring Operation: 96*37=3552, Resulting Numbers: [3552]
3552,98 unequal: No Solution
Exploring Operation: 96-37=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[36, 97], Operations: ['70-34=36', '96+1=97']
Exploring Operation: 97-36=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 36*97=3492, Resulting Numbers: [3492]
3492,98 unequal: No Solution
Exploring Operation: 36+97=133, Resulting Numbers: [133]
133,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[36, 96], Operations: ['70-34=36', '96*1=96']
Exploring Operation: 96-36=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 36*96=3456, Resulting Numbers: [3456]
3456,98 unequal: No Solution
Exploring Operation: 36+96=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[34, 25], Operations: ['96-70=26', '26-1=25']
Exploring Operation: 34*25=850, Resulting Numbers: [850]
850,98 unequal: No Solution
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[26, 35], Operations: ['96-70=26', '34+1=35']
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 26*35=910, Resulting Numbers: [910]
910,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[62, 69], Operations: ['96-34=62', '70-1=69']
Exploring Operation: 62+69=131, Resulting Numbers: [131]
131,98 unequal: No Solution
Exploring Operation: 62*69=4278, Resulting Numbers: [4278]
4278,98 unequal: No Solution
Exploring Operation: 69-62=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Moving to Node #0,1,3
Current State: 98:[70, 61], Operations: ['96-34=62', '62-1=61']
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 70*61=4270, Resulting Numbers: [4270]
4270,98 unequal: No Solution
Exploring Operation: 70+61=131, Resulting Numbers: [131]
131,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[62, 70], Operations: ['96-34=62', '70*1=70']
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 62*70=4340, Resulting Numbers: [4340]
4340,98 unequal: No Solution
Exploring Operation: 62+70=132, Resulting Numbers: [132]
132,98 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
29,
63,
98,
37
] | 58 | [
"98-63=35",
"37-35=2",
"29*2=58"
] | Current State: 58:[29, 63, 98, 37], Operations: []
Exploring Operation: 98-63=35, Resulting Numbers: [29, 37, 35]
Generated Node #2: [29, 37, 35] from Operation: 98-63=35
Current State: 58:[29, 37, 35], Operations: ['98-63=35']
Exploring Operation: 37-35=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 37-35=2
Current State: 58:[29, 2], Operations: ['98-63=35', '37-35=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[29, 63, 98, 37], Operations: []
Exploring Operation: 98-37=61, Resulting Numbers: [29, 63, 61]
Generated Node #0,0: 58:[29, 63, 61] Operation: 98-37=61
Exploring Operation: 98-63=35, Resulting Numbers: [29, 37, 35]
Generated Node #0,1: 58:[29, 37, 35] Operation: 98-63=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[29, 63, 61], Operations: ['98-37=61']
Exploring Operation: 63-61=2, Resulting Numbers: [29, 2]
Generated Node #0,0,0: 58:[29, 2] Operation: 63-61=2
Exploring Operation: 63-29=34, Resulting Numbers: [61, 34]
Generated Node #0,0,1: 58:[61, 34] Operation: 63-29=34
Moving to Node #0,0,0
Current State: 58:[29, 2], Operations: ['98-37=61', '63-61=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[29, 63, 98, 37], Operations: []
Exploring Operation: 98-37=61, Resulting Numbers: [29, 63, 61]
Generated Node #0,0: 58:[29, 63, 61] Operation: 98-37=61
Moving to Node #0,0
Current State: 58:[29, 63, 61], Operations: ['98-37=61']
Exploring Operation: 63-61=2, Resulting Numbers: [29, 2]
Generated Node #0,0,0: 58:[29, 2] Operation: 63-61=2
Moving to Node #0,0,0
Current State: 58:[29, 2], Operations: ['98-37=61', '63-61=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
68,
19,
96,
47
] | 94 | [
"68-19=49",
"96+47=143",
"143-49=94"
] | Current State: 94:[68, 19, 96, 47], Operations: []
Exploring Operation: 68-19=49, Resulting Numbers: [96, 47, 49]
Generated Node #2: [96, 47, 49] from Operation: 68-19=49
Current State: 94:[96, 47, 49], Operations: ['68-19=49']
Exploring Operation: 96+47=143, Resulting Numbers: [49, 143]
Generated Node #3: [49, 143] from Operation: 96+47=143
Current State: 94:[49, 143], Operations: ['68-19=49', '96+47=143']
Exploring Operation: 143-49=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[68, 19, 96, 47], Operations: []
Exploring Operation: 68-19=49, Resulting Numbers: [96, 47, 49]
Generated Node #0,0: 94:[96, 47, 49] Operation: 68-19=49
Moving to Node #0,0
Current State: 94:[96, 47, 49], Operations: ['68-19=49']
Exploring Operation: 96-49=47, Resulting Numbers: [47, 47]
Generated Node #0,0,0: 94:[47, 47] Operation: 96-49=47
Moving to Node #0,0,0
Current State: 94:[47, 47], Operations: ['68-19=49', '96-49=47']
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[68, 19, 96, 47], Operations: []
Exploring Operation: 68-19=49, Resulting Numbers: [96, 47, 49]
Generated Node #0,0: 94:[96, 47, 49] Operation: 68-19=49
Moving to Node #0,0
Current State: 94:[96, 47, 49], Operations: ['68-19=49']
Exploring Operation: 96-49=47, Resulting Numbers: [47, 47]
Generated Node #0,0,0: 94:[47, 47] Operation: 96-49=47
Moving to Node #0,0,0
Current State: 94:[47, 47], Operations: ['68-19=49', '96-49=47']
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
75,
75,
60,
23
] | 60 | [
"75-75=0",
"23*0=0",
"60+0=60"
] | Current State: 60:[75, 75, 60, 23], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [60, 23, 0]
Generated Node #2: [60, 23, 0] from Operation: 75-75=0
Current State: 60:[60, 23, 0], Operations: ['75-75=0']
Exploring Operation: 23*0=0, Resulting Numbers: [60, 0]
Generated Node #3: [60, 0] from Operation: 23*0=0
Current State: 60:[60, 0], Operations: ['75-75=0', '23*0=0']
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[75, 75, 60, 23], Operations: []
Exploring Operation: 75-60=15, Resulting Numbers: [75, 23, 15]
Generated Node #0,0: 60:[75, 23, 15] Operation: 75-60=15
Exploring Operation: 75/75=1, Resulting Numbers: [60, 23, 1]
Generated Node #0,1: 60:[60, 23, 1] Operation: 75/75=1
Exploring Operation: 75-75=0, Resulting Numbers: [60, 23, 0]
Generated Node #0,2: 60:[60, 23, 0] Operation: 75-75=0
Exploring Operation: 75-60=15, Resulting Numbers: [75, 23, 15]
Generated Node #0,3: 60:[75, 23, 15] Operation: 75-60=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[60, 23, 1], Operations: ['75/75=1']
Exploring Operation: 23*1=23, Resulting Numbers: [60, 23]
Generated Node #0,1,0: 60:[60, 23] Operation: 23*1=23
Exploring Operation: 60/1=60, Resulting Numbers: [23, 60]
Generated Node #0,1,1: 60:[23, 60] Operation: 60/1=60
Exploring Operation: 23-1=22, Resulting Numbers: [60, 22]
Generated Node #0,1,2: 60:[60, 22] Operation: 23-1=22
Exploring Operation: 60*1=60, Resulting Numbers: [23, 60]
Generated Node #0,1,3: 60:[23, 60] Operation: 60*1=60
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[60, 22], Operations: ['75/75=1', '23-1=22']
Exploring Operation: 60*22=1320, Resulting Numbers: [1320]
1320,60 unequal: No Solution
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,60 unequal: No Solution
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,60 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:[60, 23], Operations: ['75/75=1', '23*1=23']
Exploring Operation: 60*23=1380, Resulting Numbers: [1380]
1380,60 unequal: No Solution
Exploring Operation: 60+23=83, Resulting Numbers: [83]
83,60 unequal: No Solution
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[23, 60], Operations: ['75/75=1', '60/1=60']
Exploring Operation: 23+60=83, Resulting Numbers: [83]
83,60 unequal: No Solution
Exploring Operation: 23*60=1380, Resulting Numbers: [1380]
1380,60 unequal: No Solution
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,60 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 #0,1,3
Current State: 60:[23, 60], Operations: ['75/75=1', '60*1=60']
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,60 unequal: No Solution
Exploring Operation: 23*60=1380, Resulting Numbers: [1380]
1380,60 unequal: No Solution
Exploring Operation: 23+60=83, Resulting Numbers: [83]
83,60 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 #0,2
Current State: 60:[60, 23, 0], Operations: ['75-75=0']
Exploring Operation: 60-0=60, Resulting Numbers: [23, 60]
Generated Node #0,2,0: 60:[23, 60] Operation: 60-0=60
Exploring Operation: 23*0=0, Resulting Numbers: [60, 0]
Generated Node #0,2,1: 60:[60, 0] Operation: 23*0=0
Exploring Operation: 60+0=60, Resulting Numbers: [23, 60]
Generated Node #0,2,2: 60:[23, 60] Operation: 60+0=60
Exploring Operation: 23+0=23, Resulting Numbers: [60, 23]
Generated Node #0,2,3: 60:[60, 23] Operation: 23+0=23
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[60, 0], Operations: ['75-75=0', '23*0=0']
Exploring Operation: 60*0=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[75, 75, 60, 23], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [60, 23, 0]
Generated Node #0,2: 60:[60, 23, 0] Operation: 75-75=0
Moving to Node #0,2
Current State: 60:[60, 23, 0], Operations: ['75-75=0']
Exploring Operation: 23*0=0, Resulting Numbers: [60, 0]
Generated Node #0,2,1: 60:[60, 0] Operation: 23*0=0
Moving to Node #0,2,1
Current State: 60:[60, 0], Operations: ['75-75=0', '23*0=0']
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
69,
75,
42,
32
] | 80 | [
"75-69=6",
"42+32=74",
"6+74=80"
] | Current State: 80:[69, 75, 42, 32], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [42, 32, 6]
Generated Node #2: [42, 32, 6] from Operation: 75-69=6
Current State: 80:[42, 32, 6], Operations: ['75-69=6']
Exploring Operation: 42+32=74, Resulting Numbers: [6, 74]
Generated Node #3: [6, 74] from Operation: 42+32=74
Current State: 80:[6, 74], Operations: ['75-69=6', '42+32=74']
Exploring Operation: 6+74=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[69, 75, 42, 32], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [42, 32, 6]
Generated Node #0,0: 80:[42, 32, 6] Operation: 75-69=6
Exploring Operation: 69-32=37, Resulting Numbers: [75, 42, 37]
Generated Node #0,1: 80:[75, 42, 37] Operation: 69-32=37
Exploring Operation: 42-32=10, Resulting Numbers: [69, 75, 10]
Generated Node #0,2: 80:[69, 75, 10] Operation: 42-32=10
Exploring Operation: 75-32=43, Resulting Numbers: [69, 42, 43]
Generated Node #0,3: 80:[69, 42, 43] Operation: 75-32=43
Moving to Node #0,1
Current State: 80:[75, 42, 37], Operations: ['69-32=37']
Exploring Operation: 42-37=5, Resulting Numbers: [75, 5]
Generated Node #0,1,0: 80:[75, 5] Operation: 42-37=5
Exploring Operation: 42+37=79, Resulting Numbers: [75, 79]
Generated Node #0,1,1: 80:[75, 79] Operation: 42+37=79
Exploring Operation: 75-42=33, Resulting Numbers: [37, 33]
Generated Node #0,1,2: 80:[37, 33] Operation: 75-42=33
Exploring Operation: 75-37=38, Resulting Numbers: [42, 38]
Generated Node #0,1,3: 80:[42, 38] Operation: 75-37=38
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 80:[42, 38], Operations: ['69-32=37', '75-37=38']
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[69, 75, 42, 32], Operations: []
Exploring Operation: 69-32=37, Resulting Numbers: [75, 42, 37]
Generated Node #0,1: 80:[75, 42, 37] Operation: 69-32=37
Moving to Node #0,1
Current State: 80:[75, 42, 37], Operations: ['69-32=37']
Exploring Operation: 75-37=38, Resulting Numbers: [42, 38]
Generated Node #0,1,3: 80:[42, 38] Operation: 75-37=38
Moving to Node #0,1,3
Current State: 80:[42, 38], Operations: ['69-32=37', '75-37=38']
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
8,
46,
10,
74
] | 83 | [
"10-8=2",
"74/2=37",
"46+37=83"
] | Current State: 83:[8, 46, 10, 74], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [46, 74, 2]
Generated Node #2: [46, 74, 2] from Operation: 10-8=2
Current State: 83:[46, 74, 2], Operations: ['10-8=2']
Exploring Operation: 74/2=37, Resulting Numbers: [46, 37]
Generated Node #3: [46, 37] from Operation: 74/2=37
Current State: 83:[46, 37], Operations: ['10-8=2', '74/2=37']
Exploring Operation: 46+37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[8, 46, 10, 74], Operations: []
Exploring Operation: 8+46=54, Resulting Numbers: [10, 74, 54]
Generated Node #0,0: 83:[10, 74, 54] Operation: 8+46=54
Exploring Operation: 8*10=80, Resulting Numbers: [46, 74, 80]
Generated Node #0,1: 83:[46, 74, 80] Operation: 8*10=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[46, 74, 80], Operations: ['8*10=80']
Exploring Operation: 46+74=120, Resulting Numbers: [80, 120]
Generated Node #0,1,0: 83:[80, 120] Operation: 46+74=120
Exploring Operation: 46+80=126, Resulting Numbers: [74, 126]
Generated Node #0,1,1: 83:[74, 126] Operation: 46+80=126
Moving to Node #0,1,0
Current State: 83:[80, 120], Operations: ['8*10=80', '46+74=120']
Exploring Operation: 80+120=200, Resulting Numbers: [200]
200,83 unequal: No Solution
Exploring Operation: 120-80=40, Resulting Numbers: [40]
40,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[74, 126], Operations: ['8*10=80', '46+80=126']
Exploring Operation: 74+126=200, Resulting Numbers: [200]
200,83 unequal: No Solution
Exploring Operation: 126-74=52, Resulting Numbers: [52]
52,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[10, 74, 54], Operations: ['8+46=54']
Exploring Operation: 10+54=64, Resulting Numbers: [74, 64]
Generated Node #0,0,0: 83:[74, 64] Operation: 10+54=64
Exploring Operation: 10+74=84, Resulting Numbers: [54, 84]
Generated Node #0,0,1: 83:[54, 84] Operation: 10+74=84
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[74, 64], Operations: ['8+46=54', '10+54=64']
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,83 unequal: No Solution
Exploring Operation: 74+64=138, Resulting Numbers: [138]
138,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[54, 84], Operations: ['8+46=54', '10+74=84']
Exploring Operation: 54+84=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 84-54=30, Resulting Numbers: [30]
30,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
74,
93,
95,
30
] | 84 | [
"93-74=19",
"95-30=65",
"19+65=84"
] | Current State: 84:[74, 93, 95, 30], Operations: []
Exploring Operation: 93-74=19, Resulting Numbers: [95, 30, 19]
Generated Node #2: [95, 30, 19] from Operation: 93-74=19
Current State: 84:[95, 30, 19], Operations: ['93-74=19']
Exploring Operation: 95-30=65, Resulting Numbers: [19, 65]
Generated Node #3: [19, 65] from Operation: 95-30=65
Current State: 84:[19, 65], Operations: ['93-74=19', '95-30=65']
Exploring Operation: 19+65=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[74, 93, 95, 30], Operations: []
Exploring Operation: 95-74=21, Resulting Numbers: [93, 30, 21]
Generated Node #0,0: 84:[93, 30, 21] Operation: 95-74=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[93, 30, 21], Operations: ['95-74=21']
Exploring Operation: 30-21=9, Resulting Numbers: [93, 9]
Generated Node #0,0,0: 84:[93, 9] Operation: 30-21=9
Moving to Node #0,0,0
Current State: 84:[93, 9], Operations: ['95-74=21', '30-21=9']
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[74, 93, 95, 30], Operations: []
Exploring Operation: 95-74=21, Resulting Numbers: [93, 30, 21]
Generated Node #0,0: 84:[93, 30, 21] Operation: 95-74=21
Moving to Node #0,0
Current State: 84:[93, 30, 21], Operations: ['95-74=21']
Exploring Operation: 30-21=9, Resulting Numbers: [93, 9]
Generated Node #0,0,0: 84:[93, 9] Operation: 30-21=9
Moving to Node #0,0,0
Current State: 84:[93, 9], Operations: ['95-74=21', '30-21=9']
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
15,
23,
19,
8
] | 10 | [
"15+23=38",
"38/19=2",
"8+2=10"
] | Current State: 10:[15, 23, 19, 8], Operations: []
Exploring Operation: 15+23=38, Resulting Numbers: [19, 8, 38]
Generated Node #2: [19, 8, 38] from Operation: 15+23=38
Current State: 10:[19, 8, 38], Operations: ['15+23=38']
Exploring Operation: 38/19=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 38/19=2
Current State: 10:[8, 2], Operations: ['15+23=38', '38/19=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[15, 23, 19, 8], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [23, 8, 4]
Generated Node #0,0: 10:[23, 8, 4] Operation: 19-15=4
Exploring Operation: 19-8=11, Resulting Numbers: [15, 23, 11]
Generated Node #0,1: 10:[15, 23, 11] Operation: 19-8=11
Exploring Operation: 23-8=15, Resulting Numbers: [15, 19, 15]
Generated Node #0,2: 10:[15, 19, 15] Operation: 23-8=15
Exploring Operation: 23-15=8, Resulting Numbers: [19, 8, 8]
Generated Node #0,3: 10:[19, 8, 8] Operation: 23-15=8
Exploring Operation: 23-19=4, Resulting Numbers: [15, 8, 4]
Generated Node #0,4: 10:[15, 8, 4] Operation: 23-19=4
Moving to Node #0,4
Current State: 10:[15, 8, 4], Operations: ['23-19=4']
Exploring Operation: 15-4=11, Resulting Numbers: [8, 11]
Generated Node #0,4,0: 10:[8, 11] Operation: 15-4=11
Exploring Operation: 15-8=7, Resulting Numbers: [4, 7]
Generated Node #0,4,1: 10:[4, 7] Operation: 15-8=7
Exploring Operation: 8/4=2, Resulting Numbers: [15, 2]
Generated Node #0,4,2: 10:[15, 2] Operation: 8/4=2
Exploring Operation: 8+4=12, Resulting Numbers: [15, 12]
Generated Node #0,4,3: 10:[15, 12] Operation: 8+4=12
Exploring Operation: 8-4=4, Resulting Numbers: [15, 4]
Generated Node #0,4,4: 10:[15, 4] Operation: 8-4=4
Moving to Node #0,3
Current State: 10:[19, 8, 8], Operations: ['23-15=8']
Exploring Operation: 8+8=16, Resulting Numbers: [19, 16]
Generated Node #0,3,0: 10:[19, 16] Operation: 8+8=16
Exploring Operation: 19-8=11, Resulting Numbers: [8, 11]
Generated Node #0,3,1: 10:[8, 11] Operation: 19-8=11
Exploring Operation: 8-8=0, Resulting Numbers: [19, 0]
Generated Node #0,3,2: 10:[19, 0] Operation: 8-8=0
Exploring Operation: 8/8=1, Resulting Numbers: [19, 1]
Generated Node #0,3,3: 10:[19, 1] Operation: 8/8=1
Exploring Operation: 19-8=11, Resulting Numbers: [8, 11]
Generated Node #0,3,4: 10:[8, 11] Operation: 19-8=11
Moving to Node #0,0
Current State: 10:[23, 8, 4], Operations: ['19-15=4']
Exploring Operation: 23-8=15, Resulting Numbers: [4, 15]
Generated Node #0,0,0: 10:[4, 15] Operation: 23-8=15
Exploring Operation: 8/4=2, Resulting Numbers: [23, 2]
Generated Node #0,0,1: 10:[23, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [23, 4]
Generated Node #0,0,2: 10:[23, 4] Operation: 8-4=4
Exploring Operation: 8+4=12, Resulting Numbers: [23, 12]
Generated Node #0,0,3: 10:[23, 12] Operation: 8+4=12
Exploring Operation: 23-4=19, Resulting Numbers: [8, 19]
Generated Node #0,0,4: 10:[8, 19] Operation: 23-4=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[4, 15], Operations: ['19-15=4', '23-8=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,10 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 10:[8, 19], Operations: ['19-15=4', '23-4=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,10 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[23, 2], Operations: ['19-15=4', '8/4=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,10 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 10:[23, 4], Operations: ['19-15=4', '8-4=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 10:[23, 12], Operations: ['19-15=4', '8+4=12']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 10:[15, 23, 11], Operations: ['19-8=11']
Exploring Operation: 15+11=26, Resulting Numbers: [23, 26]
Generated Node #0,1,0: 10:[23, 26] Operation: 15+11=26
Exploring Operation: 15+23=38, Resulting Numbers: [11, 38]
Generated Node #0,1,1: 10:[11, 38] Operation: 15+23=38
Exploring Operation: 15-11=4, Resulting Numbers: [23, 4]
Generated Node #0,1,2: 10:[23, 4] Operation: 15-11=4
Exploring Operation: 23-15=8, Resulting Numbers: [11, 8]
Generated Node #0,1,3: 10:[11, 8] Operation: 23-15=8
Exploring Operation: 23-11=12, Resulting Numbers: [15, 12]
Generated Node #0,1,4: 10:[15, 12] Operation: 23-11=12
Moving to Node #0,2
Current State: 10:[15, 19, 15], Operations: ['23-8=15']
Exploring Operation: 15/15=1, Resulting Numbers: [19, 1]
Generated Node #0,2,0: 10:[19, 1] Operation: 15/15=1
Exploring Operation: 15+19=34, Resulting Numbers: [15, 34]
Generated Node #0,2,1: 10:[15, 34] Operation: 15+19=34
Exploring Operation: 19-15=4, Resulting Numbers: [15, 4]
Generated Node #0,2,2: 10:[15, 4] Operation: 19-15=4
Exploring Operation: 19-15=4, Resulting Numbers: [15, 4]
Generated Node #0,2,3: 10:[15, 4] Operation: 19-15=4
Exploring Operation: 15-15=0, Resulting Numbers: [19, 0]
Generated Node #0,2,4: 10:[19, 0] Operation: 15-15=0
Moving to Node #0,4,0
Current State: 10:[8, 11], Operations: ['23-19=4', '15-4=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,10 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,3,1
Current State: 10:[8, 11], Operations: ['23-15=8', '19-8=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,10 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,3,4
Current State: 10:[8, 11], Operations: ['23-15=8', '19-8=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,10 unequal: No Solution
Moving to Node #0,4,1
Current State: 10:[4, 7], Operations: ['23-19=4', '15-8=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,10 unequal: No Solution
Moving to Node #0,1,3
Current State: 10:[11, 8], Operations: ['19-8=11', '23-15=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,10 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Moving to Node #0,4,2
Current State: 10:[15, 2], Operations: ['23-19=4', '8/4=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,10 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Moving to Node #0,4,4
Current State: 10:[15, 4], Operations: ['23-19=4', '8-4=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[15, 4], Operations: ['23-8=15', '19-15=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[15, 4], Operations: ['23-8=15', '19-15=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,10 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Moving to Node #0,1,4
Current State: 10:[15, 12], Operations: ['19-8=11', '23-11=12']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 15*12=180, Resulting Numbers: [180]
180,10 unequal: No Solution
Moving to Node #0,4,3
Current State: 10:[15, 12], Operations: ['23-19=4', '8+4=12']
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 15*12=180, Resulting Numbers: [180]
180,10 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,3,3
Current State: 10:[19, 1], Operations: ['23-15=8', '8/8=1']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,10 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[19, 1], Operations: ['23-8=15', '15/15=1']
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,10 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Moving to Node #0,2,4
Current State: 10:[19, 0], Operations: ['23-8=15', '15-15=0']
Exploring Operation: 19*0=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 19-0=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Moving to Node #0,3,2
Current State: 10:[19, 0], Operations: ['23-15=8', '8-8=0']
Exploring Operation: 19*0=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 19-0=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Moving to Node #0,1,2
Current State: 10:[23, 4], Operations: ['19-8=11', '15-11=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,10 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Moving to Node #0,3,0
Current State: 10:[19, 16], Operations: ['23-15=8', '8+8=16']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,10 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[15, 34], Operations: ['23-8=15', '15+19=34']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[23, 26], Operations: ['19-8=11', '15+11=26']
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,10 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[11, 38], Operations: ['19-8=11', '15+23=38']
Exploring Operation: 11+38=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 11*38=418, Resulting Numbers: [418]
418,10 unequal: No Solution
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,10 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
54,
4,
22,
28
] | 30 | [
"28-22=6",
"4*6=24",
"54-24=30"
] | Current State: 30:[54, 4, 22, 28], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [54, 4, 6]
Generated Node #2: [54, 4, 6] from Operation: 28-22=6
Current State: 30:[54, 4, 6], Operations: ['28-22=6']
Exploring Operation: 4*6=24, Resulting Numbers: [54, 24]
Generated Node #3: [54, 24] from Operation: 4*6=24
Current State: 30:[54, 24], Operations: ['28-22=6', '4*6=24']
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[54, 4, 22, 28], Operations: []
Exploring Operation: 54-22=32, Resulting Numbers: [4, 28, 32]
Generated Node #0,0: 30:[4, 28, 32] Operation: 54-22=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[4, 28, 32], Operations: ['54-22=32']
Exploring Operation: 32-28=4, Resulting Numbers: [4, 4]
Generated Node #0,0,0: 30:[4, 4] Operation: 32-28=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[4, 4], Operations: ['54-22=32', '32-28=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
21,
42,
38,
29
] | 47 | [
"42/21=2",
"38*2=76",
"76-29=47"
] | Current State: 47:[21, 42, 38, 29], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [38, 29, 2]
Generated Node #2: [38, 29, 2] from Operation: 42/21=2
Current State: 47:[38, 29, 2], Operations: ['42/21=2']
Exploring Operation: 38*2=76, Resulting Numbers: [29, 76]
Generated Node #3: [29, 76] from Operation: 38*2=76
Current State: 47:[29, 76], Operations: ['42/21=2', '38*2=76']
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[21, 42, 38, 29], Operations: []
Exploring Operation: 21+42=63, Resulting Numbers: [38, 29, 63]
Generated Node #0,0: 47:[38, 29, 63] Operation: 21+42=63
Exploring Operation: 21+38=59, Resulting Numbers: [42, 29, 59]
Generated Node #0,1: 47:[42, 29, 59] Operation: 21+38=59
Exploring Operation: 21+29=50, Resulting Numbers: [42, 38, 50]
Generated Node #0,2: 47:[42, 38, 50] Operation: 21+29=50
Exploring Operation: 38+29=67, Resulting Numbers: [21, 42, 67]
Generated Node #0,3: 47:[21, 42, 67] Operation: 38+29=67
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[42, 38, 50], Operations: ['21+29=50']
Exploring Operation: 42+38=80, Resulting Numbers: [50, 80]
Generated Node #0,2,0: 47:[50, 80] Operation: 42+38=80
Exploring Operation: 42-38=4, Resulting Numbers: [50, 4]
Generated Node #0,2,1: 47:[50, 4] Operation: 42-38=4
Exploring Operation: 50-38=12, Resulting Numbers: [42, 12]
Generated Node #0,2,2: 47:[42, 12] Operation: 50-38=12
Exploring Operation: 38+50=88, Resulting Numbers: [42, 88]
Generated Node #0,2,3: 47:[42, 88] Operation: 38+50=88
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[50, 80], Operations: ['21+29=50', '42+38=80']
Exploring Operation: 50+80=130, Resulting Numbers: [130]
130,47 unequal: No Solution
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Exploring Operation: 50*80=4000, Resulting Numbers: [4000]
4000,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[42, 12], Operations: ['21+29=50', '50-38=12']
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,47 unequal: No Solution
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[50, 4], Operations: ['21+29=50', '42-38=4']
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 50*4=200, Resulting Numbers: [200]
200,47 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 47:[42, 88], Operations: ['21+29=50', '38+50=88']
Exploring Operation: 88-42=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 42*88=3696, Resulting Numbers: [3696]
3696,47 unequal: No Solution
Exploring Operation: 42+88=130, Resulting Numbers: [130]
130,47 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:[42, 29, 59], Operations: ['21+38=59']
Exploring Operation: 29+59=88, Resulting Numbers: [42, 88]
Generated Node #0,1,0: 47:[42, 88] Operation: 29+59=88
Exploring Operation: 42+29=71, Resulting Numbers: [59, 71]
Generated Node #0,1,1: 47:[59, 71] Operation: 42+29=71
Exploring Operation: 59-29=30, Resulting Numbers: [42, 30]
Generated Node #0,1,2: 47:[42, 30] Operation: 59-29=30
Exploring Operation: 42-29=13, Resulting Numbers: [59, 13]
Generated Node #0,1,3: 47:[59, 13] Operation: 42-29=13
Moving to Node #0,1,2
Current State: 47:[42, 30], Operations: ['21+38=59', '59-29=30']
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 42+30=72, Resulting Numbers: [72]
72,47 unequal: No Solution
Exploring Operation: 42*30=1260, Resulting Numbers: [1260]
1260,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[59, 71], Operations: ['21+38=59', '42+29=71']
Exploring Operation: 59*71=4189, Resulting Numbers: [4189]
4189,47 unequal: No Solution
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 59+71=130, Resulting Numbers: [130]
130,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[59, 13], Operations: ['21+38=59', '42-29=13']
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,47 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 59*13=767, Resulting Numbers: [767]
767,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[42, 88], Operations: ['21+38=59', '29+59=88']
Exploring Operation: 42+88=130, Resulting Numbers: [130]
130,47 unequal: No Solution
Exploring Operation: 42*88=3696, Resulting Numbers: [3696]
3696,47 unequal: No Solution
Exploring Operation: 88-42=46, Resulting Numbers: [46]
46,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[38, 29, 63], Operations: ['21+42=63']
Exploring Operation: 38+29=67, Resulting Numbers: [63, 67]
Generated Node #0,0,0: 47:[63, 67] Operation: 38+29=67
Exploring Operation: 63-38=25, Resulting Numbers: [29, 25]
Generated Node #0,0,1: 47:[29, 25] Operation: 63-38=25
Exploring Operation: 38-29=9, Resulting Numbers: [63, 9]
Generated Node #0,0,2: 47:[63, 9] Operation: 38-29=9
Exploring Operation: 63-29=34, Resulting Numbers: [38, 34]
Generated Node #0,0,3: 47:[38, 34] Operation: 63-29=34
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 47:[38, 34], Operations: ['21+42=63', '63-29=34']
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Exploring Operation: 38*34=1292, Resulting Numbers: [1292]
1292,47 unequal: No Solution
Exploring Operation: 38+34=72, Resulting Numbers: [72]
72,47 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 #0,0,0
Current State: 47:[63, 67], Operations: ['21+42=63', '38+29=67']
Exploring Operation: 67-63=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Exploring Operation: 63*67=4221, Resulting Numbers: [4221]
4221,47 unequal: No Solution
Exploring Operation: 63+67=130, Resulting Numbers: [130]
130,47 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:[29, 25], Operations: ['21+42=63', '63-38=25']
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 29*25=725, Resulting Numbers: [725]
725,47 unequal: No Solution
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[63, 9], Operations: ['21+42=63', '38-29=9']
Exploring Operation: 63*9=567, Resulting Numbers: [567]
567,47 unequal: No Solution
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,47 unequal: No Solution
Exploring Operation: 63+9=72, Resulting Numbers: [72]
72,47 unequal: No Solution
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[21, 42, 67], Operations: ['38+29=67']
Exploring Operation: 42-21=21, Resulting Numbers: [67, 21]
Generated Node #0,3,0: 47:[67, 21] Operation: 42-21=21
Exploring Operation: 21+42=63, Resulting Numbers: [67, 63]
Generated Node #0,3,1: 47:[67, 63] Operation: 21+42=63
Exploring Operation: 67-21=46, Resulting Numbers: [42, 46]
Generated Node #0,3,2: 47:[42, 46] Operation: 67-21=46
Exploring Operation: 21+67=88, Resulting Numbers: [42, 88]
Generated Node #0,3,3: 47:[42, 88] Operation: 21+67=88
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 47:[42, 46], Operations: ['38+29=67', '67-21=46']
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Exploring Operation: 42*46=1932, Resulting Numbers: [1932]
1932,47 unequal: No Solution
Exploring Operation: 42+46=88, Resulting Numbers: [88]
88,47 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 #0,3,1
Current State: 47:[67, 63], Operations: ['38+29=67', '21+42=63']
Exploring Operation: 67*63=4221, Resulting Numbers: [4221]
4221,47 unequal: No Solution
Exploring Operation: 67+63=130, Resulting Numbers: [130]
130,47 unequal: No Solution
Exploring Operation: 67-63=4, Resulting Numbers: [4]
4,47 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 #0,3,0
Current State: 47:[67, 21], Operations: ['38+29=67', '42-21=21']
Exploring Operation: 67*21=1407, Resulting Numbers: [1407]
1407,47 unequal: No Solution
Exploring Operation: 67+21=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,47 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 #0,3,3
Current State: 47:[42, 88], Operations: ['38+29=67', '21+67=88']
Exploring Operation: 42*88=3696, Resulting Numbers: [3696]
3696,47 unequal: No Solution
Exploring Operation: 88-42=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 42+88=130, Resulting Numbers: [130]
130,47 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_4 | sum_heuristic |
[
51,
80,
24,
26
] | 79 | [
"80-51=29",
"24+26=50",
"29+50=79"
] | Current State: 79:[51, 80, 24, 26], Operations: []
Exploring Operation: 80-51=29, Resulting Numbers: [24, 26, 29]
Generated Node #2: [24, 26, 29] from Operation: 80-51=29
Current State: 79:[24, 26, 29], Operations: ['80-51=29']
Exploring Operation: 24+26=50, Resulting Numbers: [29, 50]
Generated Node #3: [29, 50] from Operation: 24+26=50
Current State: 79:[29, 50], Operations: ['80-51=29', '24+26=50']
Exploring Operation: 29+50=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[51, 80, 24, 26], Operations: []
Exploring Operation: 51+24=75, Resulting Numbers: [80, 26, 75]
Generated Node #0,0: 79:[80, 26, 75] Operation: 51+24=75
Exploring Operation: 51+26=77, Resulting Numbers: [80, 24, 77]
Generated Node #0,1: 79:[80, 24, 77] Operation: 51+26=77
Moving to Node #0,0
Current State: 79:[80, 26, 75], Operations: ['51+24=75']
Exploring Operation: 80-26=54, Resulting Numbers: [75, 54]
Generated Node #0,0,0: 79:[75, 54] Operation: 80-26=54
Exploring Operation: 26+75=101, Resulting Numbers: [80, 101]
Generated Node #0,0,1: 79:[80, 101] Operation: 26+75=101
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[80, 101], Operations: ['51+24=75', '26+75=101']
Exploring Operation: 101-80=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Exploring Operation: 80+101=181, Resulting Numbers: [181]
181,79 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:[75, 54], Operations: ['51+24=75', '80-26=54']
Exploring Operation: 75+54=129, Resulting Numbers: [129]
129,79 unequal: No Solution
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,79 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:[80, 24, 77], Operations: ['51+26=77']
Exploring Operation: 80-24=56, Resulting Numbers: [77, 56]
Generated Node #0,1,0: 79:[77, 56] Operation: 80-24=56
Exploring Operation: 24+77=101, Resulting Numbers: [80, 101]
Generated Node #0,1,1: 79:[80, 101] Operation: 24+77=101
Moving to Node #0,1,1
Current State: 79:[80, 101], Operations: ['51+26=77', '24+77=101']
Exploring Operation: 80+101=181, Resulting Numbers: [181]
181,79 unequal: No Solution
Exploring Operation: 101-80=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[77, 56], Operations: ['51+26=77', '80-24=56']
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Exploring Operation: 77+56=133, Resulting Numbers: [133]
133,79 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
64,
95,
4,
27
] | 84 | [
"64/4=16",
"95-27=68",
"16+68=84"
] | Current State: 84:[64, 95, 4, 27], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [95, 27, 16]
Generated Node #2: [95, 27, 16] from Operation: 64/4=16
Current State: 84:[95, 27, 16], Operations: ['64/4=16']
Exploring Operation: 95-27=68, Resulting Numbers: [16, 68]
Generated Node #3: [16, 68] from Operation: 95-27=68
Current State: 84:[16, 68], Operations: ['64/4=16', '95-27=68']
Exploring Operation: 16+68=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[64, 95, 4, 27], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [95, 27, 16]
Generated Node #0,0: 84:[95, 27, 16] Operation: 64/4=16
Exploring Operation: 64-27=37, Resulting Numbers: [95, 4, 37]
Generated Node #0,1: 84:[95, 4, 37] Operation: 64-27=37
Exploring Operation: 95-64=31, Resulting Numbers: [4, 27, 31]
Generated Node #0,2: 84:[4, 27, 31] Operation: 95-64=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[4, 27, 31], Operations: ['95-64=31']
Exploring Operation: 27-4=23, Resulting Numbers: [31, 23]
Generated Node #0,2,0: 84:[31, 23] Operation: 27-4=23
Exploring Operation: 31-4=27, Resulting Numbers: [27, 27]
Generated Node #0,2,1: 84:[27, 27] Operation: 31-4=27
Exploring Operation: 31-27=4, Resulting Numbers: [4, 4]
Generated Node #0,2,2: 84:[4, 4] Operation: 31-27=4
Moving to Node #0,2,2
Current State: 84:[4, 4], Operations: ['95-64=31', '31-27=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[27, 27], Operations: ['95-64=31', '31-4=27']
Exploring Operation: 27/27=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 27-27=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 27+27=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[31, 23], Operations: ['95-64=31', '27-4=23']
Exploring Operation: 31*23=713, Resulting Numbers: [713]
713,84 unequal: No Solution
Exploring Operation: 31-23=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 31+23=54, Resulting Numbers: [54]
54,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[95, 27, 16], Operations: ['64/4=16']
Exploring Operation: 95-16=79, Resulting Numbers: [27, 79]
Generated Node #0,0,0: 84:[27, 79] Operation: 95-16=79
Exploring Operation: 27+16=43, Resulting Numbers: [95, 43]
Generated Node #0,0,1: 84:[95, 43] Operation: 27+16=43
Exploring Operation: 27-16=11, Resulting Numbers: [95, 11]
Generated Node #0,0,2: 84:[95, 11] Operation: 27-16=11
Moving to Node #0,0,0
Current State: 84:[27, 79], Operations: ['64/4=16', '95-16=79']
Exploring Operation: 79-27=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 27*79=2133, Resulting Numbers: [2133]
2133,84 unequal: No Solution
Exploring Operation: 27+79=106, Resulting Numbers: [106]
106,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[95, 43], Operations: ['64/4=16', '27+16=43']
Exploring Operation: 95*43=4085, Resulting Numbers: [4085]
4085,84 unequal: No Solution
Exploring Operation: 95-43=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 95+43=138, Resulting Numbers: [138]
138,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[95, 11], Operations: ['64/4=16', '27-16=11']
Exploring Operation: 95+11=106, Resulting Numbers: [106]
106,84 unequal: No Solution
Exploring Operation: 95*11=1045, Resulting Numbers: [1045]
1045,84 unequal: No Solution
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[64, 95, 4, 27], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [95, 27, 16]
Generated Node #0,0: 84:[95, 27, 16] Operation: 64/4=16
Moving to Node #0,0
Current State: 84:[95, 27, 16], Operations: ['64/4=16']
Exploring Operation: 27-16=11, Resulting Numbers: [95, 11]
Generated Node #0,0,2: 84:[95, 11] Operation: 27-16=11
Moving to Node #0,0,2
Current State: 84:[95, 11], Operations: ['64/4=16', '27-16=11']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_3 | mult_heuristic |
[
35,
85,
10,
49
] | 61 | [
"35+85=120",
"10+49=59",
"120-59=61"
] | Current State: 61:[35, 85, 10, 49], Operations: []
Exploring Operation: 35+85=120, Resulting Numbers: [10, 49, 120]
Generated Node #2: [10, 49, 120] from Operation: 35+85=120
Current State: 61:[10, 49, 120], Operations: ['35+85=120']
Exploring Operation: 10+49=59, Resulting Numbers: [120, 59]
Generated Node #3: [120, 59] from Operation: 10+49=59
Current State: 61:[120, 59], Operations: ['35+85=120', '10+49=59']
Exploring Operation: 120-59=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[35, 85, 10, 49], Operations: []
Exploring Operation: 85+10=95, Resulting Numbers: [35, 49, 95]
Generated Node #0,0: 61:[35, 49, 95] Operation: 85+10=95
Exploring Operation: 85-10=75, Resulting Numbers: [35, 49, 75]
Generated Node #0,1: 61:[35, 49, 75] Operation: 85-10=75
Exploring Operation: 35-10=25, Resulting Numbers: [85, 49, 25]
Generated Node #0,2: 61:[85, 49, 25] Operation: 35-10=25
Exploring Operation: 35+10=45, Resulting Numbers: [85, 49, 45]
Generated Node #0,3: 61:[85, 49, 45] Operation: 35+10=45
Exploring Operation: 10+49=59, Resulting Numbers: [35, 85, 59]
Generated Node #0,4: 61:[35, 85, 59] Operation: 10+49=59
Moving to Node #0,1
Current State: 61:[35, 49, 75], Operations: ['85-10=75']
Exploring Operation: 49-35=14, Resulting Numbers: [75, 14]
Generated Node #0,1,0: 61:[75, 14] Operation: 49-35=14
Exploring Operation: 75-35=40, Resulting Numbers: [49, 40]
Generated Node #0,1,1: 61:[49, 40] Operation: 75-35=40
Exploring Operation: 75-49=26, Resulting Numbers: [35, 26]
Generated Node #0,1,2: 61:[35, 26] Operation: 75-49=26
Exploring Operation: 35+49=84, Resulting Numbers: [75, 84]
Generated Node #0,1,3: 61:[75, 84] Operation: 35+49=84
Exploring Operation: 35+75=110, Resulting Numbers: [49, 110]
Generated Node #0,1,4: 61:[49, 110] Operation: 35+75=110
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[49, 40], Operations: ['85-10=75', '75-35=40']
Exploring Operation: 49-40=9, Resulting Numbers: [9]
9,61 unequal: No Solution
Exploring Operation: 49*40=1960, Resulting Numbers: [1960]
1960,61 unequal: No Solution
Exploring Operation: 49+40=89, Resulting Numbers: [89]
89,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 61:[75, 84], Operations: ['85-10=75', '35+49=84']
Exploring Operation: 75+84=159, Resulting Numbers: [159]
159,61 unequal: No Solution
Exploring Operation: 75*84=6300, Resulting Numbers: [6300]
6300,61 unequal: No Solution
Exploring Operation: 84-75=9, Resulting Numbers: [9]
9,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[75, 14], Operations: ['85-10=75', '49-35=14']
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,61 unequal: No Solution
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[35, 85, 10, 49], Operations: []
Exploring Operation: 85-10=75, Resulting Numbers: [35, 49, 75]
Generated Node #0,1: 61:[35, 49, 75] Operation: 85-10=75
Moving to Node #0,1
Current State: 61:[35, 49, 75], Operations: ['85-10=75']
Exploring Operation: 49-35=14, Resulting Numbers: [75, 14]
Generated Node #0,1,0: 61:[75, 14] Operation: 49-35=14
Moving to Node #0,1,0
Current State: 61:[75, 14], Operations: ['85-10=75', '49-35=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
55,
32,
63,
20
] | 24 | [
"63-55=8",
"32/8=4",
"20+4=24"
] | Current State: 24:[55, 32, 63, 20], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [32, 20, 8]
Generated Node #2: [32, 20, 8] from Operation: 63-55=8
Current State: 24:[32, 20, 8], Operations: ['63-55=8']
Exploring Operation: 32/8=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 32/8=4
Current State: 24:[20, 4], Operations: ['63-55=8', '32/8=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[55, 32, 63, 20], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [32, 20, 8]
Generated Node #0,0: 24:[32, 20, 8] Operation: 63-55=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[32, 20, 8], Operations: ['63-55=8']
Exploring Operation: 32-20=12, Resulting Numbers: [8, 12]
Generated Node #0,0,0: 24:[8, 12] Operation: 32-20=12
Moving to Node #0,0,0
Current State: 24:[8, 12], Operations: ['63-55=8', '32-20=12']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
11,
8,
5
] | 29 | [
"16-8=8",
"5*8=40",
"40-11=29"
] | Current State: 29:[16, 11, 8, 5], Operations: []
Exploring Operation: 16-8=8, Resulting Numbers: [11, 5, 8]
Generated Node #2: [11, 5, 8] from Operation: 16-8=8
Current State: 29:[11, 5, 8], Operations: ['16-8=8']
Exploring Operation: 5*8=40, Resulting Numbers: [11, 40]
Generated Node #3: [11, 40] from Operation: 5*8=40
Current State: 29:[11, 40], Operations: ['16-8=8', '5*8=40']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[16, 11, 8, 5], Operations: []
Exploring Operation: 8*5=40, Resulting Numbers: [16, 11, 40]
Generated Node #0,0: 29:[16, 11, 40] Operation: 8*5=40
Exploring Operation: 16+5=21, Resulting Numbers: [11, 8, 21]
Generated Node #0,1: 29:[11, 8, 21] Operation: 16+5=21
Exploring Operation: 16+8=24, Resulting Numbers: [11, 5, 24]
Generated Node #0,2: 29:[11, 5, 24] Operation: 16+8=24
Exploring Operation: 16+11=27, Resulting Numbers: [8, 5, 27]
Generated Node #0,3: 29:[8, 5, 27] Operation: 16+11=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[16, 11, 40], Operations: ['8*5=40']
Exploring Operation: 40-11=29, Resulting Numbers: [16, 29]
Generated Node #0,0,0: 29:[16, 29] Operation: 40-11=29
Exploring Operation: 40-16=24, Resulting Numbers: [11, 24]
Generated Node #0,0,1: 29:[11, 24] Operation: 40-16=24
Exploring Operation: 16+11=27, Resulting Numbers: [40, 27]
Generated Node #0,0,2: 29:[40, 27] Operation: 16+11=27
Exploring Operation: 16-11=5, Resulting Numbers: [40, 5]
Generated Node #0,0,3: 29:[40, 5] Operation: 16-11=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[16, 29], Operations: ['8*5=40', '40-11=29']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,29 unequal: No Solution
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,29 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 #0,0,2
Current State: 29:[40, 27], Operations: ['8*5=40', '16+11=27']
Exploring Operation: 40*27=1080, Resulting Numbers: [1080]
1080,29 unequal: No Solution
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,29 unequal: No Solution
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,29 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 #0,0,1
Current State: 29:[11, 24], Operations: ['8*5=40', '40-16=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,29 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,29 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 #0,0,3
Current State: 29:[40, 5], Operations: ['8*5=40', '16-11=5']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,29 unequal: No Solution
Exploring Operation: 40*5=200, Resulting Numbers: [200]
200,29 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 #0,1
Current State: 29:[11, 8, 21], Operations: ['16+5=21']
Exploring Operation: 8+21=29, Resulting Numbers: [11, 29]
Generated Node #0,1,0: 29:[11, 29] Operation: 8+21=29
Exploring Operation: 11-8=3, Resulting Numbers: [21, 3]
Generated Node #0,1,1: 29:[21, 3] Operation: 11-8=3
Exploring Operation: 11+8=19, Resulting Numbers: [21, 19]
Generated Node #0,1,2: 29:[21, 19] Operation: 11+8=19
Exploring Operation: 11+21=32, Resulting Numbers: [8, 32]
Generated Node #0,1,3: 29:[8, 32] Operation: 11+21=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 29:[11, 29], Operations: ['16+5=21', '8+21=29']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,29 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 #0,1,2
Current State: 29:[21, 19], Operations: ['16+5=21', '11+8=19']
Exploring Operation: 21*19=399, Resulting Numbers: [399]
399,29 unequal: No Solution
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,29 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 #0,1,3
Current State: 29:[8, 32], Operations: ['16+5=21', '11+21=32']
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 8*32=256, Resulting Numbers: [256]
256,29 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,29 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 #0,1,1
Current State: 29:[21, 3], Operations: ['16+5=21', '11-8=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,29 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,29 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 #0,2
Current State: 29:[11, 5, 24], Operations: ['16+8=24']
Exploring Operation: 11-5=6, Resulting Numbers: [24, 6]
Generated Node #0,2,0: 29:[24, 6] Operation: 11-5=6
Exploring Operation: 5+24=29, Resulting Numbers: [11, 29]
Generated Node #0,2,1: 29:[11, 29] Operation: 5+24=29
Exploring Operation: 24-5=19, Resulting Numbers: [11, 19]
Generated Node #0,2,2: 29:[11, 19] Operation: 24-5=19
Exploring Operation: 11+5=16, Resulting Numbers: [24, 16]
Generated Node #0,2,3: 29:[24, 16] Operation: 11+5=16
Moving to Node #0,2,1
Current State: 29:[11, 29], Operations: ['16+8=24', '5+24=29']
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,29 unequal: No Solution
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[24, 16], Operations: ['16+8=24', '11+5=16']
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[11, 19], Operations: ['16+8=24', '24-5=19']
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,29 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[24, 6], Operations: ['16+8=24', '11-5=6']
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,29 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[8, 5, 27], Operations: ['16+11=27']
Exploring Operation: 8+5=13, Resulting Numbers: [27, 13]
Generated Node #0,3,0: 29:[27, 13] Operation: 8+5=13
Exploring Operation: 8*5=40, Resulting Numbers: [27, 40]
Generated Node #0,3,1: 29:[27, 40] Operation: 8*5=40
Exploring Operation: 8-5=3, Resulting Numbers: [27, 3]
Generated Node #0,3,2: 29:[27, 3] Operation: 8-5=3
Exploring Operation: 5+27=32, Resulting Numbers: [8, 32]
Generated Node #0,3,3: 29:[8, 32] Operation: 5+27=32
Moving to Node #0,3,1
Current State: 29:[27, 40], Operations: ['16+11=27', '8*5=40']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 27*40=1080, Resulting Numbers: [1080]
1080,29 unequal: No Solution
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,29 unequal: No Solution
Moving to Node #0,3,0
Current State: 29:[27, 13], Operations: ['16+11=27', '8+5=13']
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,29 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[8, 32], Operations: ['16+11=27', '5+27=32']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 8*32=256, Resulting Numbers: [256]
256,29 unequal: No Solution
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,29 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Moving to Node #0,3,2
Current State: 29:[27, 3], Operations: ['16+11=27', '8-5=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,29 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,29 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
32,
38,
4,
8
] | 46 | [
"32/8=4",
"38+4=42",
"4+42=46"
] | Current State: 46:[32, 38, 4, 8], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [38, 4, 4]
Generated Node #2: [38, 4, 4] from Operation: 32/8=4
Current State: 46:[38, 4, 4], Operations: ['32/8=4']
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,46 equal: Goal Reached
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[32, 38, 4, 8], Operations: []
Exploring Operation: 38+8=46, Resulting Numbers: [32, 4, 46]
Generated Node #0,0: 46:[32, 4, 46] Operation: 38+8=46
Exploring Operation: 38-32=6, Resulting Numbers: [4, 8, 6]
Generated Node #0,1: 46:[4, 8, 6] Operation: 38-32=6
Exploring Operation: 32-8=24, Resulting Numbers: [38, 4, 24]
Generated Node #0,2: 46:[38, 4, 24] Operation: 32-8=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[32, 4, 46], Operations: ['38+8=46']
Exploring Operation: 32+4=36, Resulting Numbers: [46, 36]
Generated Node #0,0,0: 46:[46, 36] Operation: 32+4=36
Exploring Operation: 32-4=28, Resulting Numbers: [46, 28]
Generated Node #0,0,1: 46:[46, 28] Operation: 32-4=28
Exploring Operation: 32/4=8, Resulting Numbers: [46, 8]
Generated Node #0,0,2: 46:[46, 8] Operation: 32/4=8
Moving to Node #0,0,1
Current State: 46:[46, 28], Operations: ['38+8=46', '32-4=28']
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 46*28=1288, Resulting Numbers: [1288]
1288,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[46, 8], Operations: ['38+8=46', '32/4=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,46 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,46 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[46, 36], Operations: ['38+8=46', '32+4=36']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 46+36=82, Resulting Numbers: [82]
82,46 unequal: No Solution
Exploring Operation: 46*36=1656, Resulting Numbers: [1656]
1656,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[38, 4, 24], Operations: ['32-8=24']
Exploring Operation: 24-4=20, Resulting Numbers: [38, 20]
Generated Node #0,2,0: 46:[38, 20] Operation: 24-4=20
Exploring Operation: 38-24=14, Resulting Numbers: [4, 14]
Generated Node #0,2,1: 46:[4, 14] Operation: 38-24=14
Exploring Operation: 38+4=42, Resulting Numbers: [24, 42]
Generated Node #0,2,2: 46:[24, 42] Operation: 38+4=42
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 46:[24, 42], Operations: ['32-8=24', '38+4=42']
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,46 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,46 unequal: No Solution
No 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: 46:[38, 20], Operations: ['32-8=24', '24-4=20']
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,46 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,46 unequal: No Solution
No 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: 46:[4, 14], Operations: ['32-8=24', '38-24=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,46 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: 46:[4, 8, 6], Operations: ['38-32=6']
Exploring Operation: 8*6=48, Resulting Numbers: [4, 48]
Generated Node #0,1,0: 46:[4, 48] Operation: 8*6=48
Exploring Operation: 8/4=2, Resulting Numbers: [6, 2]
Generated Node #0,1,1: 46:[6, 2] Operation: 8/4=2
Exploring Operation: 8-6=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 46:[4, 2] Operation: 8-6=2
Moving to Node #0,1,2
Current State: 46:[4, 2], Operations: ['38-32=6', '8-6=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[4, 48], Operations: ['38-32=6', '8*6=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[6, 2], Operations: ['38-32=6', '8/4=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,46 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,46 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 |
[
11,
12,
56,
14
] | 52 | [
"14-11=3",
"12/3=4",
"56-4=52"
] | Current State: 52:[11, 12, 56, 14], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [12, 56, 3]
Generated Node #2: [12, 56, 3] from Operation: 14-11=3
Current State: 52:[12, 56, 3], Operations: ['14-11=3']
Exploring Operation: 12/3=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 12/3=4
Current State: 52:[56, 4], Operations: ['14-11=3', '12/3=4']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[11, 12, 56, 14], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [11, 12, 4]
Generated Node #0,0: 52:[11, 12, 4] Operation: 56/14=4
Moving to Node #0,0
Current State: 52:[11, 12, 4], Operations: ['56/14=4']
Exploring Operation: 12-11=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 52:[4, 1] Operation: 12-11=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[4, 1], Operations: ['56/14=4', '12-11=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,52 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 |
[
5,
87,
48,
23
] | 80 | [
"87-48=39",
"39-23=16",
"5*16=80"
] | Current State: 80:[5, 87, 48, 23], Operations: []
Exploring Operation: 87-48=39, Resulting Numbers: [5, 23, 39]
Generated Node #2: [5, 23, 39] from Operation: 87-48=39
Current State: 80:[5, 23, 39], Operations: ['87-48=39']
Exploring Operation: 39-23=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 39-23=16
Current State: 80:[5, 16], Operations: ['87-48=39', '39-23=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[5, 87, 48, 23], Operations: []
Exploring Operation: 48-23=25, Resulting Numbers: [5, 87, 25]
Generated Node #0,0: 80:[5, 87, 25] Operation: 48-23=25
Exploring Operation: 87-48=39, Resulting Numbers: [5, 23, 39]
Generated Node #0,1: 80:[5, 23, 39] Operation: 87-48=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[5, 23, 39], Operations: ['87-48=39']
Exploring Operation: 23-5=18, Resulting Numbers: [39, 18]
Generated Node #0,1,0: 80:[39, 18] Operation: 23-5=18
Exploring Operation: 39-23=16, Resulting Numbers: [5, 16]
Generated Node #0,1,1: 80:[5, 16] Operation: 39-23=16
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 80:[5, 16], Operations: ['87-48=39', '39-23=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[5, 87, 48, 23], Operations: []
Exploring Operation: 87-48=39, Resulting Numbers: [5, 23, 39]
Generated Node #0,1: 80:[5, 23, 39] Operation: 87-48=39
Moving to Node #0,1
Current State: 80:[5, 23, 39], Operations: ['87-48=39']
Exploring Operation: 39-23=16, Resulting Numbers: [5, 16]
Generated Node #0,1,1: 80:[5, 16] Operation: 39-23=16
Moving to Node #0,1,1
Current State: 80:[5, 16], Operations: ['87-48=39', '39-23=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
2,
40,
16,
27
] | 37 | [
"2*40=80",
"16+27=43",
"80-43=37"
] | Current State: 37:[2, 40, 16, 27], Operations: []
Exploring Operation: 2*40=80, Resulting Numbers: [16, 27, 80]
Generated Node #2: [16, 27, 80] from Operation: 2*40=80
Current State: 37:[16, 27, 80], Operations: ['2*40=80']
Exploring Operation: 16+27=43, Resulting Numbers: [80, 43]
Generated Node #3: [80, 43] from Operation: 16+27=43
Current State: 37:[80, 43], Operations: ['2*40=80', '16+27=43']
Exploring Operation: 80-43=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[2, 40, 16, 27], Operations: []
Exploring Operation: 2*16=32, Resulting Numbers: [40, 27, 32]
Generated Node #0,0: 37:[40, 27, 32] Operation: 2*16=32
Exploring Operation: 40-2=38, Resulting Numbers: [16, 27, 38]
Generated Node #0,1: 37:[16, 27, 38] Operation: 40-2=38
Moving to Node #0,0
Current State: 37:[40, 27, 32], Operations: ['2*16=32']
Exploring Operation: 40-27=13, Resulting Numbers: [32, 13]
Generated Node #0,0,0: 37:[32, 13] Operation: 40-27=13
Exploring Operation: 27+32=59, Resulting Numbers: [40, 59]
Generated Node #0,0,1: 37:[40, 59] Operation: 27+32=59
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[40, 59], Operations: ['2*16=32', '27+32=59']
Exploring Operation: 40+59=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,37 unequal: No Solution
No 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: 37:[32, 13], Operations: ['2*16=32', '40-27=13']
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,37 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: 37:[16, 27, 38], Operations: ['40-2=38']
Exploring Operation: 38-16=22, Resulting Numbers: [27, 22]
Generated Node #0,1,0: 37:[27, 22] Operation: 38-16=22
Exploring Operation: 16+27=43, Resulting Numbers: [38, 43]
Generated Node #0,1,1: 37:[38, 43] Operation: 16+27=43
Moving to Node #0,1,1
Current State: 37:[38, 43], Operations: ['40-2=38', '16+27=43']
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,37 unequal: No Solution
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[27, 22], Operations: ['40-2=38', '38-16=22']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,37 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,37 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
5,
55,
96,
21
] | 64 | [
"55/5=11",
"96-21=75",
"75-11=64"
] | Current State: 64:[5, 55, 96, 21], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [96, 21, 11]
Generated Node #2: [96, 21, 11] from Operation: 55/5=11
Current State: 64:[96, 21, 11], Operations: ['55/5=11']
Exploring Operation: 96-21=75, Resulting Numbers: [11, 75]
Generated Node #3: [11, 75] from Operation: 96-21=75
Current State: 64:[11, 75], Operations: ['55/5=11', '96-21=75']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[5, 55, 96, 21], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [5, 55, 75]
Generated Node #0,0: 64:[5, 55, 75] Operation: 96-21=75
Exploring Operation: 96-55=41, Resulting Numbers: [5, 21, 41]
Generated Node #0,1: 64:[5, 21, 41] Operation: 96-55=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[5, 21, 41], Operations: ['96-55=41']
Exploring Operation: 41-21=20, Resulting Numbers: [5, 20]
Generated Node #0,1,0: 64:[5, 20] Operation: 41-21=20
Exploring Operation: 21+41=62, Resulting Numbers: [5, 62]
Generated Node #0,1,1: 64:[5, 62] Operation: 21+41=62
Moving to Node #0,1,1
Current State: 64:[5, 62], Operations: ['96-55=41', '21+41=62']
Exploring Operation: 5+62=67, Resulting Numbers: [67]
67,64 unequal: No Solution
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[5, 20], Operations: ['96-55=41', '41-21=20']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[5, 55, 75], Operations: ['96-21=75']
Exploring Operation: 75-55=20, Resulting Numbers: [5, 20]
Generated Node #0,0,0: 64:[5, 20] Operation: 75-55=20
Exploring Operation: 75/5=15, Resulting Numbers: [55, 15]
Generated Node #0,0,1: 64:[55, 15] Operation: 75/5=15
Moving to Node #0,0,0
Current State: 64:[5, 20], Operations: ['96-21=75', '75-55=20']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[55, 15], Operations: ['96-21=75', '75/5=15']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 55+15=70, Resulting Numbers: [70]
70,64 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 |
[
12,
96,
11,
95
] | 59 | [
"12*11=132",
"96+95=191",
"191-132=59"
] | Current State: 59:[12, 96, 11, 95], Operations: []
Exploring Operation: 12*11=132, Resulting Numbers: [96, 95, 132]
Generated Node #2: [96, 95, 132] from Operation: 12*11=132
Current State: 59:[96, 95, 132], Operations: ['12*11=132']
Exploring Operation: 96+95=191, Resulting Numbers: [132, 191]
Generated Node #3: [132, 191] from Operation: 96+95=191
Current State: 59:[132, 191], Operations: ['12*11=132', '96+95=191']
Exploring Operation: 191-132=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[12, 96, 11, 95], Operations: []
Exploring Operation: 12+11=23, Resulting Numbers: [96, 95, 23]
Generated Node #0,0: 59:[96, 95, 23] Operation: 12+11=23
Exploring Operation: 95-12=83, Resulting Numbers: [96, 11, 83]
Generated Node #0,1: 59:[96, 11, 83] Operation: 95-12=83
Exploring Operation: 95-11=84, Resulting Numbers: [12, 96, 84]
Generated Node #0,2: 59:[12, 96, 84] Operation: 95-11=84
Exploring Operation: 96-11=85, Resulting Numbers: [12, 95, 85]
Generated Node #0,3: 59:[12, 95, 85] Operation: 96-11=85
Exploring Operation: 96-12=84, Resulting Numbers: [11, 95, 84]
Generated Node #0,4: 59:[11, 95, 84] Operation: 96-12=84
Moving to Node #0,0
Current State: 59:[96, 95, 23], Operations: ['12+11=23']
Exploring Operation: 96-23=73, Resulting Numbers: [95, 73]
Generated Node #0,0,0: 59:[95, 73] Operation: 96-23=73
Exploring Operation: 95-23=72, Resulting Numbers: [96, 72]
Generated Node #0,0,1: 59:[96, 72] Operation: 95-23=72
Exploring Operation: 95+23=118, Resulting Numbers: [96, 118]
Generated Node #0,0,2: 59:[96, 118] Operation: 95+23=118
Exploring Operation: 96-95=1, Resulting Numbers: [23, 1]
Generated Node #0,0,3: 59:[23, 1] Operation: 96-95=1
Exploring Operation: 96+23=119, Resulting Numbers: [95, 119]
Generated Node #0,0,4: 59:[95, 119] Operation: 96+23=119
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[95, 73], Operations: ['12+11=23', '96-23=73']
Exploring Operation: 95-73=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 95*73=6935, Resulting Numbers: [6935]
6935,59 unequal: No Solution
Exploring Operation: 95+73=168, Resulting Numbers: [168]
168,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[96, 72], Operations: ['12+11=23', '95-23=72']
Exploring Operation: 96*72=6912, Resulting Numbers: [6912]
6912,59 unequal: No Solution
Exploring Operation: 96+72=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 96-72=24, Resulting Numbers: [24]
24,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[23, 1], Operations: ['12+11=23', '96-95=1']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,59 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,59 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[96, 118], Operations: ['12+11=23', '95+23=118']
Exploring Operation: 118-96=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 96+118=214, Resulting Numbers: [214]
214,59 unequal: No Solution
Exploring Operation: 96*118=11328, Resulting Numbers: [11328]
11328,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 59:[95, 119], Operations: ['12+11=23', '96+23=119']
Exploring Operation: 95*119=11305, Resulting Numbers: [11305]
11305,59 unequal: No Solution
Exploring Operation: 95+119=214, Resulting Numbers: [214]
214,59 unequal: No Solution
Exploring Operation: 119-95=24, Resulting Numbers: [24]
24,59 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: 59:[12, 96, 84], Operations: ['95-11=84']
Exploring Operation: 96-12=84, Resulting Numbers: [84, 84]
Generated Node #0,2,0: 59:[84, 84] Operation: 96-12=84
Exploring Operation: 84-12=72, Resulting Numbers: [96, 72]
Generated Node #0,2,1: 59:[96, 72] Operation: 84-12=72
Exploring Operation: 96/12=8, Resulting Numbers: [84, 8]
Generated Node #0,2,2: 59:[84, 8] Operation: 96/12=8
Exploring Operation: 12+96=108, Resulting Numbers: [84, 108]
Generated Node #0,2,3: 59:[84, 108] Operation: 12+96=108
Exploring Operation: 12+84=96, Resulting Numbers: [96, 96]
Generated Node #0,2,4: 59:[96, 96] Operation: 12+84=96
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[84, 84], Operations: ['95-11=84', '96-12=84']
Exploring Operation: 84-84=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 84+84=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 84/84=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 84*84=7056, Resulting Numbers: [7056]
7056,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[96, 72], Operations: ['95-11=84', '84-12=72']
Exploring Operation: 96+72=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 96*72=6912, Resulting Numbers: [6912]
6912,59 unequal: No Solution
Exploring Operation: 96-72=24, Resulting Numbers: [24]
24,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[84, 108], Operations: ['95-11=84', '12+96=108']
Exploring Operation: 84*108=9072, Resulting Numbers: [9072]
9072,59 unequal: No Solution
Exploring Operation: 84+108=192, Resulting Numbers: [192]
192,59 unequal: No Solution
Exploring Operation: 108-84=24, Resulting Numbers: [24]
24,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 59:[96, 96], Operations: ['95-11=84', '12+84=96']
Exploring Operation: 96+96=192, Resulting Numbers: [192]
192,59 unequal: No Solution
Exploring Operation: 96/96=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 96-96=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 96*96=9216, Resulting Numbers: [9216]
9216,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[84, 8], Operations: ['95-11=84', '96/12=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,59 unequal: No Solution
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,59 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: 59:[11, 95, 84], Operations: ['96-12=84']
Exploring Operation: 95-84=11, Resulting Numbers: [11, 11]
Generated Node #0,4,0: 59:[11, 11] Operation: 95-84=11
Exploring Operation: 11+95=106, Resulting Numbers: [84, 106]
Generated Node #0,4,1: 59:[84, 106] Operation: 11+95=106
Exploring Operation: 84-11=73, Resulting Numbers: [95, 73]
Generated Node #0,4,2: 59:[95, 73] Operation: 84-11=73
Exploring Operation: 95-11=84, Resulting Numbers: [84, 84]
Generated Node #0,4,3: 59:[84, 84] Operation: 95-11=84
Exploring Operation: 11+84=95, Resulting Numbers: [95, 95]
Generated Node #0,4,4: 59:[95, 95] Operation: 11+84=95
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 59:[95, 73], Operations: ['96-12=84', '84-11=73']
Exploring Operation: 95+73=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 95*73=6935, Resulting Numbers: [6935]
6935,59 unequal: No Solution
Exploring Operation: 95-73=22, Resulting Numbers: [22]
22,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 59:[84, 84], Operations: ['96-12=84', '95-11=84']
Exploring Operation: 84-84=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 84+84=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 84/84=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 84*84=7056, Resulting Numbers: [7056]
7056,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 59:[84, 106], Operations: ['96-12=84', '11+95=106']
Exploring Operation: 84+106=190, Resulting Numbers: [190]
190,59 unequal: No Solution
Exploring Operation: 84*106=8904, Resulting Numbers: [8904]
8904,59 unequal: No Solution
Exploring Operation: 106-84=22, Resulting Numbers: [22]
22,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 59:[95, 95], Operations: ['96-12=84', '11+84=95']
Exploring Operation: 95+95=190, Resulting Numbers: [190]
190,59 unequal: No Solution
Exploring Operation: 95-95=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 95/95=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 95*95=9025, Resulting Numbers: [9025]
9025,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 59:[11, 11], Operations: ['96-12=84', '95-84=11']
Exploring Operation: 11+11=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 11*11=121, Resulting Numbers: [121]
121,59 unequal: No Solution
Exploring Operation: 11-11=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Exploring Operation: 11/11=1, Resulting Numbers: [1]
1,59 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: 59:[96, 11, 83], Operations: ['95-12=83']
Exploring Operation: 11+83=94, Resulting Numbers: [96, 94]
Generated Node #0,1,0: 59:[96, 94] Operation: 11+83=94
Exploring Operation: 96-11=85, Resulting Numbers: [83, 85]
Generated Node #0,1,1: 59:[83, 85] Operation: 96-11=85
Exploring Operation: 83-11=72, Resulting Numbers: [96, 72]
Generated Node #0,1,2: 59:[96, 72] Operation: 83-11=72
Exploring Operation: 96-83=13, Resulting Numbers: [11, 13]
Generated Node #0,1,3: 59:[11, 13] Operation: 96-83=13
Exploring Operation: 96+11=107, Resulting Numbers: [83, 107]
Generated Node #0,1,4: 59:[83, 107] Operation: 96+11=107
Moving to Node #0,3
Current State: 59:[12, 95, 85], Operations: ['96-11=85']
Exploring Operation: 12+85=97, Resulting Numbers: [95, 97]
Generated Node #0,3,0: 59:[95, 97] Operation: 12+85=97
Exploring Operation: 95-85=10, Resulting Numbers: [12, 10]
Generated Node #0,3,1: 59:[12, 10] Operation: 95-85=10
Exploring Operation: 12+95=107, Resulting Numbers: [85, 107]
Generated Node #0,3,2: 59:[85, 107] Operation: 12+95=107
Exploring Operation: 95-12=83, Resulting Numbers: [85, 83]
Generated Node #0,3,3: 59:[85, 83] Operation: 95-12=83
Exploring Operation: 85-12=73, Resulting Numbers: [95, 73]
Generated Node #0,3,4: 59:[95, 73] Operation: 85-12=73
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 59:[85, 83], Operations: ['96-11=85', '95-12=83']
Exploring Operation: 85+83=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 85*83=7055, Resulting Numbers: [7055]
7055,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 59:[95, 73], Operations: ['96-11=85', '85-12=73']
Exploring Operation: 95*73=6935, Resulting Numbers: [6935]
6935,59 unequal: No Solution
Exploring Operation: 95+73=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 95-73=22, Resulting Numbers: [22]
22,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[95, 97], Operations: ['96-11=85', '12+85=97']
Exploring Operation: 97-95=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 95+97=192, Resulting Numbers: [192]
192,59 unequal: No Solution
Exploring Operation: 95*97=9215, Resulting Numbers: [9215]
9215,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[85, 107], Operations: ['96-11=85', '12+95=107']
Exploring Operation: 85+107=192, Resulting Numbers: [192]
192,59 unequal: No Solution
Exploring Operation: 85*107=9095, Resulting Numbers: [9095]
9095,59 unequal: No Solution
Exploring Operation: 107-85=22, Resulting Numbers: [22]
22,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 59:[12, 10], Operations: ['96-11=85', '95-85=10']
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 59:[83, 85], Operations: ['95-12=83', '96-11=85']
Exploring Operation: 83*85=7055, Resulting Numbers: [7055]
7055,59 unequal: No Solution
Exploring Operation: 83+85=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[96, 72], Operations: ['95-12=83', '83-11=72']
Exploring Operation: 96+72=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 96*72=6912, Resulting Numbers: [6912]
6912,59 unequal: No Solution
Exploring Operation: 96-72=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[96, 94], Operations: ['95-12=83', '11+83=94']
Exploring Operation: 96*94=9024, Resulting Numbers: [9024]
9024,59 unequal: No Solution
Exploring Operation: 96-94=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 96+94=190, Resulting Numbers: [190]
190,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[83, 107], Operations: ['95-12=83', '96+11=107']
Exploring Operation: 107-83=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 83+107=190, Resulting Numbers: [190]
190,59 unequal: No Solution
Exploring Operation: 83*107=8881, Resulting Numbers: [8881]
8881,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[11, 13], Operations: ['95-12=83', '96-83=13']
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,59 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
5,
4,
42,
38
] | 25 | [
"42+38=80",
"80/4=20",
"5+20=25"
] | Current State: 25:[5, 4, 42, 38], Operations: []
Exploring Operation: 42+38=80, Resulting Numbers: [5, 4, 80]
Generated Node #2: [5, 4, 80] from Operation: 42+38=80
Current State: 25:[5, 4, 80], Operations: ['42+38=80']
Exploring Operation: 80/4=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 80/4=20
Current State: 25:[5, 20], Operations: ['42+38=80', '80/4=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[5, 4, 42, 38], Operations: []
Exploring Operation: 42-5=37, Resulting Numbers: [4, 38, 37]
Generated Node #0,0: 25:[4, 38, 37] Operation: 42-5=37
Exploring Operation: 42-38=4, Resulting Numbers: [5, 4, 4]
Generated Node #0,1: 25:[5, 4, 4] Operation: 42-38=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[5, 4, 4], Operations: ['42-38=4']
Exploring Operation: 4+4=8, Resulting Numbers: [5, 8]
Generated Node #0,1,0: 25:[5, 8] Operation: 4+4=8
Exploring Operation: 4/4=1, Resulting Numbers: [5, 1]
Generated Node #0,1,1: 25:[5, 1] Operation: 4/4=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[5, 8], Operations: ['42-38=4', '4+4=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,25 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:[5, 1], Operations: ['42-38=4', '4/4=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,25 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 #0,0
Current State: 25:[4, 38, 37], Operations: ['42-5=37']
Exploring Operation: 38-37=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 25:[4, 1] Operation: 38-37=1
Exploring Operation: 38-4=34, Resulting Numbers: [37, 34]
Generated Node #0,0,1: 25:[37, 34] Operation: 38-4=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[4, 1], Operations: ['42-5=37', '38-37=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,25 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 #0,0,1
Current State: 25:[37, 34], Operations: ['42-5=37', '38-4=34']
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,25 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_2 | mult_heuristic |
[
1,
82,
19,
35
] | 27 | [
"82-1=81",
"19+35=54",
"81-54=27"
] | Current State: 27:[1, 82, 19, 35], Operations: []
Exploring Operation: 82-1=81, Resulting Numbers: [19, 35, 81]
Generated Node #2: [19, 35, 81] from Operation: 82-1=81
Current State: 27:[19, 35, 81], Operations: ['82-1=81']
Exploring Operation: 19+35=54, Resulting Numbers: [81, 54]
Generated Node #3: [81, 54] from Operation: 19+35=54
Current State: 27:[81, 54], Operations: ['82-1=81', '19+35=54']
Exploring Operation: 81-54=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[1, 82, 19, 35], Operations: []
Exploring Operation: 82-35=47, Resulting Numbers: [1, 19, 47]
Generated Node #0,0: 27:[1, 19, 47] Operation: 82-35=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[1, 19, 47], Operations: ['82-35=47']
Exploring Operation: 47-19=28, Resulting Numbers: [1, 28]
Generated Node #0,0,0: 27:[1, 28] Operation: 47-19=28
Moving to Node #0,0,0
Current State: 27:[1, 28], Operations: ['82-35=47', '47-19=28']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[1, 82, 19, 35], Operations: []
Exploring Operation: 82-35=47, Resulting Numbers: [1, 19, 47]
Generated Node #0,0: 27:[1, 19, 47] Operation: 82-35=47
Moving to Node #0,0
Current State: 27:[1, 19, 47], Operations: ['82-35=47']
Exploring Operation: 47-19=28, Resulting Numbers: [1, 28]
Generated Node #0,0,0: 27:[1, 28] Operation: 47-19=28
Moving to Node #0,0,0
Current State: 27:[1, 28], Operations: ['82-35=47', '47-19=28']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
25,
78,
8,
7
] | 52 | [
"78-25=53",
"8-7=1",
"53-1=52"
] | Current State: 52:[25, 78, 8, 7], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [8, 7, 53]
Generated Node #2: [8, 7, 53] from Operation: 78-25=53
Current State: 52:[8, 7, 53], Operations: ['78-25=53']
Exploring Operation: 8-7=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 8-7=1
Current State: 52:[53, 1], Operations: ['78-25=53', '8-7=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[25, 78, 8, 7], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [25, 7, 70]
Generated Node #0,0: 52:[25, 7, 70] Operation: 78-8=70
Exploring Operation: 78-25=53, Resulting Numbers: [8, 7, 53]
Generated Node #0,1: 52:[8, 7, 53] Operation: 78-25=53
Moving to Node #0,1
Current State: 52:[8, 7, 53], Operations: ['78-25=53']
Exploring Operation: 8+7=15, Resulting Numbers: [53, 15]
Generated Node #0,1,0: 52:[53, 15] Operation: 8+7=15
Exploring Operation: 8-7=1, Resulting Numbers: [53, 1]
Generated Node #0,1,1: 52:[53, 1] Operation: 8-7=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 52:[53, 1], Operations: ['78-25=53', '8-7=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[25, 78, 8, 7], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [8, 7, 53]
Generated Node #0,1: 52:[8, 7, 53] Operation: 78-25=53
Moving to Node #0,1
Current State: 52:[8, 7, 53], Operations: ['78-25=53']
Exploring Operation: 8-7=1, Resulting Numbers: [53, 1]
Generated Node #0,1,1: 52:[53, 1] Operation: 8-7=1
Moving to Node #0,1,1
Current State: 52:[53, 1], Operations: ['78-25=53', '8-7=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
14,
42,
94,
61
] | 36 | [
"42/14=3",
"94-61=33",
"3+33=36"
] | Current State: 36:[14, 42, 94, 61], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [94, 61, 3]
Generated Node #2: [94, 61, 3] from Operation: 42/14=3
Current State: 36:[94, 61, 3], Operations: ['42/14=3']
Exploring Operation: 94-61=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 94-61=33
Current State: 36:[3, 33], Operations: ['42/14=3', '94-61=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[14, 42, 94, 61], Operations: []
Exploring Operation: 94-42=52, Resulting Numbers: [14, 61, 52]
Generated Node #0,0: 36:[14, 61, 52] Operation: 94-42=52
Exploring Operation: 94-61=33, Resulting Numbers: [14, 42, 33]
Generated Node #0,1: 36:[14, 42, 33] Operation: 94-61=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[14, 42, 33], Operations: ['94-61=33']
Exploring Operation: 42/14=3, Resulting Numbers: [33, 3]
Generated Node #0,1,0: 36:[33, 3] Operation: 42/14=3
Exploring Operation: 42-33=9, Resulting Numbers: [14, 9]
Generated Node #0,1,1: 36:[14, 9] Operation: 42-33=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[14, 9], Operations: ['94-61=33', '42-33=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[33, 3], Operations: ['94-61=33', '42/14=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[14, 42, 94, 61], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [14, 42, 33]
Generated Node #0,1: 36:[14, 42, 33] Operation: 94-61=33
Moving to Node #0,1
Current State: 36:[14, 42, 33], Operations: ['94-61=33']
Exploring Operation: 42/14=3, Resulting Numbers: [33, 3]
Generated Node #0,1,0: 36:[33, 3] Operation: 42/14=3
Moving to Node #0,1,0
Current State: 36:[33, 3], Operations: ['94-61=33', '42/14=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
31,
3,
89,
24
] | 68 | [
"31-24=7",
"3*7=21",
"89-21=68"
] | Current State: 68:[31, 3, 89, 24], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [3, 89, 7]
Generated Node #2: [3, 89, 7] from Operation: 31-24=7
Current State: 68:[3, 89, 7], Operations: ['31-24=7']
Exploring Operation: 3*7=21, Resulting Numbers: [89, 21]
Generated Node #3: [89, 21] from Operation: 3*7=21
Current State: 68:[89, 21], Operations: ['31-24=7', '3*7=21']
Exploring Operation: 89-21=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[31, 3, 89, 24], Operations: []
Exploring Operation: 89-24=65, Resulting Numbers: [31, 3, 65]
Generated Node #0,0: 68:[31, 3, 65] Operation: 89-24=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[31, 3, 65], Operations: ['89-24=65']
Exploring Operation: 65-31=34, Resulting Numbers: [3, 34]
Generated Node #0,0,0: 68:[3, 34] Operation: 65-31=34
Moving to Node #0,0,0
Current State: 68:[3, 34], Operations: ['89-24=65', '65-31=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,68 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,
78,
67,
15
] | 97 | [
"78-76=2",
"15*2=30",
"67+30=97"
] | Current State: 97:[76, 78, 67, 15], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [67, 15, 2]
Generated Node #2: [67, 15, 2] from Operation: 78-76=2
Current State: 97:[67, 15, 2], Operations: ['78-76=2']
Exploring Operation: 15*2=30, Resulting Numbers: [67, 30]
Generated Node #3: [67, 30] from Operation: 15*2=30
Current State: 97:[67, 30], Operations: ['78-76=2', '15*2=30']
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[76, 78, 67, 15], Operations: []
Exploring Operation: 76+15=91, Resulting Numbers: [78, 67, 91]
Generated Node #0,0: 97:[78, 67, 91] Operation: 76+15=91
Exploring Operation: 78+15=93, Resulting Numbers: [76, 67, 93]
Generated Node #0,1: 97:[76, 67, 93] Operation: 78+15=93
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[78, 67, 91], Operations: ['76+15=91']
Exploring Operation: 78+67=145, Resulting Numbers: [91, 145]
Generated Node #0,0,0: 97:[91, 145] Operation: 78+67=145
Exploring Operation: 67+91=158, Resulting Numbers: [78, 158]
Generated Node #0,0,1: 97:[78, 158] Operation: 67+91=158
Moving to Node #0,0,0
Current State: 97:[91, 145], Operations: ['76+15=91', '78+67=145']
Exploring Operation: 145-91=54, Resulting Numbers: [54]
54,97 unequal: No Solution
Exploring Operation: 91+145=236, Resulting Numbers: [236]
236,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[78, 158], Operations: ['76+15=91', '67+91=158']
Exploring Operation: 158-78=80, Resulting Numbers: [80]
80,97 unequal: No Solution
Exploring Operation: 78+158=236, Resulting Numbers: [236]
236,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[76, 67, 93], Operations: ['78+15=93']
Exploring Operation: 76+67=143, Resulting Numbers: [93, 143]
Generated Node #0,1,0: 97:[93, 143] Operation: 76+67=143
Exploring Operation: 67+93=160, Resulting Numbers: [76, 160]
Generated Node #0,1,1: 97:[76, 160] Operation: 67+93=160
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[93, 143], Operations: ['78+15=93', '76+67=143']
Exploring Operation: 93+143=236, Resulting Numbers: [236]
236,97 unequal: No Solution
Exploring Operation: 143-93=50, Resulting Numbers: [50]
50,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[76, 160], Operations: ['78+15=93', '67+93=160']
Exploring Operation: 76+160=236, Resulting Numbers: [236]
236,97 unequal: No Solution
Exploring Operation: 160-76=84, Resulting Numbers: [84]
84,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
26,
59,
90,
15
] | 75 | [
"26+59=85",
"90-85=5",
"15*5=75"
] | Current State: 75:[26, 59, 90, 15], Operations: []
Exploring Operation: 26+59=85, Resulting Numbers: [90, 15, 85]
Generated Node #2: [90, 15, 85] from Operation: 26+59=85
Current State: 75:[90, 15, 85], Operations: ['26+59=85']
Exploring Operation: 90-85=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 90-85=5
Current State: 75:[15, 5], Operations: ['26+59=85', '90-85=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[26, 59, 90, 15], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [26, 15, 31]
Generated Node #0,0: 75:[26, 15, 31] Operation: 90-59=31
Exploring Operation: 90-15=75, Resulting Numbers: [26, 59, 75]
Generated Node #0,1: 75:[26, 59, 75] Operation: 90-15=75
Exploring Operation: 90/15=6, Resulting Numbers: [26, 59, 6]
Generated Node #0,2: 75:[26, 59, 6] Operation: 90/15=6
Exploring Operation: 59+15=74, Resulting Numbers: [26, 90, 74]
Generated Node #0,3: 75:[26, 90, 74] Operation: 59+15=74
Moving to Node #0,0
Current State: 75:[26, 15, 31], Operations: ['90-59=31']
Exploring Operation: 31-26=5, Resulting Numbers: [15, 5]
Generated Node #0,0,0: 75:[15, 5] Operation: 31-26=5
Exploring Operation: 26-15=11, Resulting Numbers: [31, 11]
Generated Node #0,0,1: 75:[31, 11] Operation: 26-15=11
Exploring Operation: 31-15=16, Resulting Numbers: [26, 16]
Generated Node #0,0,2: 75:[26, 16] Operation: 31-15=16
Exploring Operation: 26+31=57, Resulting Numbers: [15, 57]
Generated Node #0,0,3: 75:[15, 57] Operation: 26+31=57
Moving to Node #0,3
Current State: 75:[26, 90, 74], Operations: ['59+15=74']
Exploring Operation: 26+74=100, Resulting Numbers: [90, 100]
Generated Node #0,3,0: 75:[90, 100] Operation: 26+74=100
Exploring Operation: 90-26=64, Resulting Numbers: [74, 64]
Generated Node #0,3,1: 75:[74, 64] Operation: 90-26=64
Exploring Operation: 74-26=48, Resulting Numbers: [90, 48]
Generated Node #0,3,2: 75:[90, 48] Operation: 74-26=48
Exploring Operation: 90-74=16, Resulting Numbers: [26, 16]
Generated Node #0,3,3: 75:[26, 16] Operation: 90-74=16
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 75:[26, 16], Operations: ['59+15=74', '90-74=16']
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 26*16=416, Resulting Numbers: [416]
416,75 unequal: No Solution
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 75:[74, 64], Operations: ['59+15=74', '90-26=64']
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 74*64=4736, Resulting Numbers: [4736]
4736,75 unequal: No Solution
Exploring Operation: 74+64=138, Resulting Numbers: [138]
138,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 75:[90, 48], Operations: ['59+15=74', '74-26=48']
Exploring Operation: 90-48=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 90+48=138, Resulting Numbers: [138]
138,75 unequal: No Solution
Exploring Operation: 90*48=4320, Resulting Numbers: [4320]
4320,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 75:[90, 100], Operations: ['59+15=74', '26+74=100']
Exploring Operation: 90+100=190, Resulting Numbers: [190]
190,75 unequal: No Solution
Exploring Operation: 90*100=9000, Resulting Numbers: [9000]
9000,75 unequal: No Solution
Exploring Operation: 100-90=10, Resulting Numbers: [10]
10,75 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: 75:[26, 59, 75], Operations: ['90-15=75']
Exploring Operation: 75-26=49, Resulting Numbers: [59, 49]
Generated Node #0,1,0: 75:[59, 49] Operation: 75-26=49
Exploring Operation: 26+59=85, Resulting Numbers: [75, 85]
Generated Node #0,1,1: 75:[75, 85] Operation: 26+59=85
Exploring Operation: 75-59=16, Resulting Numbers: [26, 16]
Generated Node #0,1,2: 75:[26, 16] Operation: 75-59=16
Exploring Operation: 59-26=33, Resulting Numbers: [75, 33]
Generated Node #0,1,3: 75:[75, 33] Operation: 59-26=33
Moving to Node #0,2
Current State: 75:[26, 59, 6], Operations: ['90/15=6']
Exploring Operation: 26+59=85, Resulting Numbers: [6, 85]
Generated Node #0,2,0: 75:[6, 85] Operation: 26+59=85
Exploring Operation: 59-26=33, Resulting Numbers: [6, 33]
Generated Node #0,2,1: 75:[6, 33] Operation: 59-26=33
Exploring Operation: 59+6=65, Resulting Numbers: [26, 65]
Generated Node #0,2,2: 75:[26, 65] Operation: 59+6=65
Exploring Operation: 26-6=20, Resulting Numbers: [59, 20]
Generated Node #0,2,3: 75:[59, 20] Operation: 26-6=20
Moving to Node #0,0,0
Current State: 75:[15, 5], Operations: ['90-59=31', '31-26=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[26, 59, 90, 15], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [26, 15, 31]
Generated Node #0,0: 75:[26, 15, 31] Operation: 90-59=31
Moving to Node #0,0
Current State: 75:[26, 15, 31], Operations: ['90-59=31']
Exploring Operation: 31-26=5, Resulting Numbers: [15, 5]
Generated Node #0,0,0: 75:[15, 5] Operation: 31-26=5
Moving to Node #0,0,0
Current State: 75:[15, 5], Operations: ['90-59=31', '31-26=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.967014 | hs_4 | sum_heuristic |
[
15,
83,
30,
37
] | 10 | [
"83+30=113",
"37+113=150",
"150/15=10"
] | Current State: 10:[15, 83, 30, 37], Operations: []
Exploring Operation: 83+30=113, Resulting Numbers: [15, 37, 113]
Generated Node #2: [15, 37, 113] from Operation: 83+30=113
Current State: 10:[15, 37, 113], Operations: ['83+30=113']
Exploring Operation: 37+113=150, Resulting Numbers: [15, 150]
Generated Node #3: [15, 150] from Operation: 37+113=150
Current State: 10:[15, 150], Operations: ['83+30=113', '37+113=150']
Exploring Operation: 150/15=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[15, 83, 30, 37], Operations: []
Exploring Operation: 83-37=46, Resulting Numbers: [15, 30, 46]
Generated Node #0,0: 10:[15, 30, 46] Operation: 83-37=46
Moving to Node #0,0
Current State: 10:[15, 30, 46], Operations: ['83-37=46']
Exploring Operation: 46-30=16, Resulting Numbers: [15, 16]
Generated Node #0,0,0: 10:[15, 16] Operation: 46-30=16
Moving to Node #0,0,0
Current State: 10:[15, 16], Operations: ['83-37=46', '46-30=16']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,10 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
23,
36,
79,
56
] | 35 | [
"79-23=56",
"56/56=1",
"36-1=35"
] | Current State: 35:[23, 36, 79, 56], Operations: []
Exploring Operation: 79-23=56, Resulting Numbers: [36, 56, 56]
Generated Node #2: [36, 56, 56] from Operation: 79-23=56
Current State: 35:[36, 56, 56], Operations: ['79-23=56']
Exploring Operation: 56/56=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 56/56=1
Current State: 35:[36, 1], Operations: ['79-23=56', '56/56=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[23, 36, 79, 56], Operations: []
Exploring Operation: 79-56=23, Resulting Numbers: [23, 36, 23]
Generated Node #0,0: 35:[23, 36, 23] Operation: 79-56=23
Exploring Operation: 79-36=43, Resulting Numbers: [23, 56, 43]
Generated Node #0,1: 35:[23, 56, 43] Operation: 79-36=43
Moving to Node #0,0
Current State: 35:[23, 36, 23], Operations: ['79-56=23']
Exploring Operation: 23-23=0, Resulting Numbers: [36, 0]
Generated Node #0,0,0: 35:[36, 0] Operation: 23-23=0
Exploring Operation: 23/23=1, Resulting Numbers: [36, 1]
Generated Node #0,0,1: 35:[36, 1] Operation: 23/23=1
Moving to Node #0,1
Current State: 35:[23, 56, 43], Operations: ['79-36=43']
Exploring Operation: 56-43=13, Resulting Numbers: [23, 13]
Generated Node #0,1,0: 35:[23, 13] Operation: 56-43=13
Exploring Operation: 56-23=33, Resulting Numbers: [43, 33]
Generated Node #0,1,1: 35:[43, 33] Operation: 56-23=33
Moving to Node #0,0,1
Current State: 35:[36, 1], Operations: ['79-56=23', '23/23=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[23, 36, 79, 56], Operations: []
Exploring Operation: 79-56=23, Resulting Numbers: [23, 36, 23]
Generated Node #0,0: 35:[23, 36, 23] Operation: 79-56=23
Moving to Node #0,0
Current State: 35:[23, 36, 23], Operations: ['79-56=23']
Exploring Operation: 23/23=1, Resulting Numbers: [36, 1]
Generated Node #0,0,1: 35:[36, 1] Operation: 23/23=1
Moving to Node #0,0,1
Current State: 35:[36, 1], Operations: ['79-56=23', '23/23=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
34,
65,
85,
30
] | 38 | [
"65+30=95",
"34*95=3230",
"3230/85=38"
] | Current State: 38:[34, 65, 85, 30], Operations: []
Exploring Operation: 65+30=95, Resulting Numbers: [34, 85, 95]
Generated Node #2: [34, 85, 95] from Operation: 65+30=95
Current State: 38:[34, 85, 95], Operations: ['65+30=95']
Exploring Operation: 34*95=3230, Resulting Numbers: [85, 3230]
Generated Node #3: [85, 3230] from Operation: 34*95=3230
Current State: 38:[85, 3230], Operations: ['65+30=95', '34*95=3230']
Exploring Operation: 3230/85=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[34, 65, 85, 30], Operations: []
Exploring Operation: 85-30=55, Resulting Numbers: [34, 65, 55]
Generated Node #0,0: 38:[34, 65, 55] Operation: 85-30=55
Exploring Operation: 85-34=51, Resulting Numbers: [65, 30, 51]
Generated Node #0,1: 38:[65, 30, 51] Operation: 85-34=51
Exploring Operation: 65-34=31, Resulting Numbers: [85, 30, 31]
Generated Node #0,2: 38:[85, 30, 31] Operation: 65-34=31
Exploring Operation: 65-30=35, Resulting Numbers: [34, 85, 35]
Generated Node #0,3: 38:[34, 85, 35] Operation: 65-30=35
Exploring Operation: 85-65=20, Resulting Numbers: [34, 30, 20]
Generated Node #0,4: 38:[34, 30, 20] Operation: 85-65=20
Start Sub Search at level 1: Moving to Node #0,4
Current State: 38:[34, 30, 20], Operations: ['85-65=20']
Exploring Operation: 34+20=54, Resulting Numbers: [30, 54]
Generated Node #0,4,0: 38:[30, 54] Operation: 34+20=54
Exploring Operation: 34-20=14, Resulting Numbers: [30, 14]
Generated Node #0,4,1: 38:[30, 14] Operation: 34-20=14
Exploring Operation: 30-20=10, Resulting Numbers: [34, 10]
Generated Node #0,4,2: 38:[34, 10] Operation: 30-20=10
Exploring Operation: 30+20=50, Resulting Numbers: [34, 50]
Generated Node #0,4,3: 38:[34, 50] Operation: 30+20=50
Exploring Operation: 34-30=4, Resulting Numbers: [20, 4]
Generated Node #0,4,4: 38:[20, 4] Operation: 34-30=4
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 38:[20, 4], Operations: ['85-65=20', '34-30=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,38 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 38:[34, 10], Operations: ['85-65=20', '30-20=10']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 34*10=340, Resulting Numbers: [340]
340,38 unequal: No Solution
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 38:[30, 14], Operations: ['85-65=20', '34-20=14']
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 30*14=420, Resulting Numbers: [420]
420,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 38:[34, 50], Operations: ['85-65=20', '30+20=50']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 34*50=1700, Resulting Numbers: [1700]
1700,38 unequal: No Solution
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 38:[30, 54], Operations: ['85-65=20', '34+20=54']
Exploring Operation: 30+54=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Exploring Operation: 30*54=1620, Resulting Numbers: [1620]
1620,38 unequal: No Solution
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[34, 65, 55], Operations: ['85-30=55']
Exploring Operation: 65-34=31, Resulting Numbers: [55, 31]
Generated Node #0,0,0: 38:[55, 31] Operation: 65-34=31
Exploring Operation: 34+65=99, Resulting Numbers: [55, 99]
Generated Node #0,0,1: 38:[55, 99] Operation: 34+65=99
Exploring Operation: 65-55=10, Resulting Numbers: [34, 10]
Generated Node #0,0,2: 38:[34, 10] Operation: 65-55=10
Exploring Operation: 34+55=89, Resulting Numbers: [65, 89]
Generated Node #0,0,3: 38:[65, 89] Operation: 34+55=89
Exploring Operation: 55-34=21, Resulting Numbers: [65, 21]
Generated Node #0,0,4: 38:[65, 21] Operation: 55-34=21
Moving to Node #0,0,2
Current State: 38:[34, 10], Operations: ['85-30=55', '65-55=10']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 34*10=340, Resulting Numbers: [340]
340,38 unequal: No Solution
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[55, 31], Operations: ['85-30=55', '65-34=31']
Exploring Operation: 55*31=1705, Resulting Numbers: [1705]
1705,38 unequal: No Solution
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Moving to Node #0,0,4
Current State: 38:[65, 21], Operations: ['85-30=55', '55-34=21']
Exploring Operation: 65+21=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 65*21=1365, Resulting Numbers: [1365]
1365,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[55, 99], Operations: ['85-30=55', '34+65=99']
Exploring Operation: 55*99=5445, Resulting Numbers: [5445]
5445,38 unequal: No Solution
Exploring Operation: 99-55=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 55+99=154, Resulting Numbers: [154]
154,38 unequal: No Solution
Moving to Node #0,0,3
Current State: 38:[65, 89], Operations: ['85-30=55', '34+55=89']
Exploring Operation: 65*89=5785, Resulting Numbers: [5785]
5785,38 unequal: No Solution
Exploring Operation: 89-65=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 65+89=154, Resulting Numbers: [154]
154,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[65, 30, 51], Operations: ['85-34=51']
Exploring Operation: 65-51=14, Resulting Numbers: [30, 14]
Generated Node #0,1,0: 38:[30, 14] Operation: 65-51=14
Exploring Operation: 51-30=21, Resulting Numbers: [65, 21]
Generated Node #0,1,1: 38:[65, 21] Operation: 51-30=21
Exploring Operation: 30+51=81, Resulting Numbers: [65, 81]
Generated Node #0,1,2: 38:[65, 81] Operation: 30+51=81
Exploring Operation: 65+30=95, Resulting Numbers: [51, 95]
Generated Node #0,1,3: 38:[51, 95] Operation: 65+30=95
Exploring Operation: 65-30=35, Resulting Numbers: [51, 35]
Generated Node #0,1,4: 38:[51, 35] Operation: 65-30=35
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[30, 14], Operations: ['85-34=51', '65-51=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 30*14=420, Resulting Numbers: [420]
420,38 unequal: No Solution
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 38:[51, 35], Operations: ['85-34=51', '65-30=35']
Exploring Operation: 51*35=1785, Resulting Numbers: [1785]
1785,38 unequal: No Solution
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 51+35=86, Resulting Numbers: [86]
86,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[65, 21], Operations: ['85-34=51', '51-30=21']
Exploring Operation: 65+21=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 65*21=1365, Resulting Numbers: [1365]
1365,38 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 38:[65, 81], Operations: ['85-34=51', '30+51=81']
Exploring Operation: 65*81=5265, Resulting Numbers: [5265]
5265,38 unequal: No Solution
Exploring Operation: 81-65=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 65+81=146, Resulting Numbers: [146]
146,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 38:[51, 95], Operations: ['85-34=51', '65+30=95']
Exploring Operation: 95-51=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 51*95=4845, Resulting Numbers: [4845]
4845,38 unequal: No Solution
Exploring Operation: 51+95=146, Resulting Numbers: [146]
146,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[34, 85, 35], Operations: ['65-30=35']
Exploring Operation: 85-35=50, Resulting Numbers: [34, 50]
Generated Node #0,3,0: 38:[34, 50] Operation: 85-35=50
Exploring Operation: 34+85=119, Resulting Numbers: [35, 119]
Generated Node #0,3,1: 38:[35, 119] Operation: 34+85=119
Exploring Operation: 34+35=69, Resulting Numbers: [85, 69]
Generated Node #0,3,2: 38:[85, 69] Operation: 34+35=69
Exploring Operation: 85-34=51, Resulting Numbers: [35, 51]
Generated Node #0,3,3: 38:[35, 51] Operation: 85-34=51
Exploring Operation: 35-34=1, Resulting Numbers: [85, 1]
Generated Node #0,3,4: 38:[85, 1] Operation: 35-34=1
Moving to Node #0,3,0
Current State: 38:[34, 50], Operations: ['65-30=35', '85-35=50']
Exploring Operation: 34*50=1700, Resulting Numbers: [1700]
1700,38 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[35, 51], Operations: ['65-30=35', '85-34=51']
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 35+51=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 35*51=1785, Resulting Numbers: [1785]
1785,38 unequal: No Solution
Moving to Node #0,3,4
Current State: 38:[85, 1], Operations: ['65-30=35', '35-34=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,38 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,38 unequal: No Solution
Moving to Node #0,3,2
Current State: 38:[85, 69], Operations: ['65-30=35', '34+35=69']
Exploring Operation: 85-69=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 85+69=154, Resulting Numbers: [154]
154,38 unequal: No Solution
Exploring Operation: 85*69=5865, Resulting Numbers: [5865]
5865,38 unequal: No Solution
Moving to Node #0,3,1
Current State: 38:[35, 119], Operations: ['65-30=35', '34+85=119']
Exploring Operation: 35+119=154, Resulting Numbers: [154]
154,38 unequal: No Solution
Exploring Operation: 35*119=4165, Resulting Numbers: [4165]
4165,38 unequal: No Solution
Exploring Operation: 119-35=84, Resulting Numbers: [84]
84,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[85, 30, 31], Operations: ['65-34=31']
Exploring Operation: 85-31=54, Resulting Numbers: [30, 54]
Generated Node #0,2,0: 38:[30, 54] Operation: 85-31=54
Exploring Operation: 85+30=115, Resulting Numbers: [31, 115]
Generated Node #0,2,1: 38:[31, 115] Operation: 85+30=115
Exploring Operation: 85-30=55, Resulting Numbers: [31, 55]
Generated Node #0,2,2: 38:[31, 55] Operation: 85-30=55
Exploring Operation: 31-30=1, Resulting Numbers: [85, 1]
Generated Node #0,2,3: 38:[85, 1] Operation: 31-30=1
Exploring Operation: 30+31=61, Resulting Numbers: [85, 61]
Generated Node #0,2,4: 38:[85, 61] Operation: 30+31=61
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[30, 54], Operations: ['65-34=31', '85-31=54']
Exploring Operation: 30*54=1620, Resulting Numbers: [1620]
1620,38 unequal: No Solution
Exploring Operation: 30+54=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 38:[31, 55], Operations: ['65-34=31', '85-30=55']
Exploring Operation: 31+55=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 31*55=1705, Resulting Numbers: [1705]
1705,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 38:[85, 1], Operations: ['65-34=31', '31-30=1']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,38 unequal: No Solution
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 38:[85, 61], Operations: ['65-34=31', '30+31=61']
Exploring Operation: 85*61=5185, Resulting Numbers: [5185]
5185,38 unequal: No Solution
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 85+61=146, Resulting Numbers: [146]
146,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[31, 115], Operations: ['65-34=31', '85+30=115']
Exploring Operation: 31+115=146, Resulting Numbers: [146]
146,38 unequal: No Solution
Exploring Operation: 115-31=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Exploring Operation: 31*115=3565, Resulting Numbers: [3565]
3565,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
39,
63,
29,
56
] | 70 | [
"39-29=10",
"63-56=7",
"10*7=70"
] | Current State: 70:[39, 63, 29, 56], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [63, 56, 10]
Generated Node #2: [63, 56, 10] from Operation: 39-29=10
Current State: 70:[63, 56, 10], Operations: ['39-29=10']
Exploring Operation: 63-56=7, Resulting Numbers: [10, 7]
Generated Node #3: [10, 7] from Operation: 63-56=7
Current State: 70:[10, 7], Operations: ['39-29=10', '63-56=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[39, 63, 29, 56], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [39, 29, 7]
Generated Node #0,0: 70:[39, 29, 7] Operation: 63-56=7
Exploring Operation: 56-39=17, Resulting Numbers: [63, 29, 17]
Generated Node #0,1: 70:[63, 29, 17] Operation: 56-39=17
Moving to Node #0,0
Current State: 70:[39, 29, 7], Operations: ['63-56=7']
Exploring Operation: 39+29=68, Resulting Numbers: [7, 68]
Generated Node #0,0,0: 70:[7, 68] Operation: 39+29=68
Exploring Operation: 39-29=10, Resulting Numbers: [7, 10]
Generated Node #0,0,1: 70:[7, 10] Operation: 39-29=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[7, 10], Operations: ['63-56=7', '39-29=10']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[39, 63, 29, 56], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [39, 29, 7]
Generated Node #0,0: 70:[39, 29, 7] Operation: 63-56=7
Moving to Node #0,0
Current State: 70:[39, 29, 7], Operations: ['63-56=7']
Exploring Operation: 39-29=10, Resulting Numbers: [7, 10]
Generated Node #0,0,1: 70:[7, 10] Operation: 39-29=10
Moving to Node #0,0,1
Current State: 70:[7, 10], Operations: ['63-56=7', '39-29=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
20,
12,
2,
19
] | 90 | [
"20+19=39",
"2*39=78",
"12+78=90"
] | Current State: 90:[20, 12, 2, 19], Operations: []
Exploring Operation: 20+19=39, Resulting Numbers: [12, 2, 39]
Generated Node #2: [12, 2, 39] from Operation: 20+19=39
Current State: 90:[12, 2, 39], Operations: ['20+19=39']
Exploring Operation: 2*39=78, Resulting Numbers: [12, 78]
Generated Node #3: [12, 78] from Operation: 2*39=78
Current State: 90:[12, 78], Operations: ['20+19=39', '2*39=78']
Exploring Operation: 12+78=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[20, 12, 2, 19], Operations: []
Exploring Operation: 20-12=8, Resulting Numbers: [2, 19, 8]
Generated Node #0,0: 90:[2, 19, 8] Operation: 20-12=8
Exploring Operation: 20+12=32, Resulting Numbers: [2, 19, 32]
Generated Node #0,1: 90:[2, 19, 32] Operation: 20+12=32
Moving to Node #0,0
Current State: 90:[2, 19, 8], Operations: ['20-12=8']
Exploring Operation: 2+8=10, Resulting Numbers: [19, 10]
Generated Node #0,0,0: 90:[19, 10] Operation: 2+8=10
Exploring Operation: 8-2=6, Resulting Numbers: [19, 6]
Generated Node #0,0,1: 90:[19, 6] Operation: 8-2=6
Moving to Node #0,1
Current State: 90:[2, 19, 32], Operations: ['20+12=32']
Exploring Operation: 32/2=16, Resulting Numbers: [19, 16]
Generated Node #0,1,0: 90:[19, 16] Operation: 32/2=16
Exploring Operation: 32-2=30, Resulting Numbers: [19, 30]
Generated Node #0,1,1: 90:[19, 30] Operation: 32-2=30
Moving to Node #0,0,0
Current State: 90:[19, 10], Operations: ['20-12=8', '2+8=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[19, 30], Operations: ['20+12=32', '32-2=30']
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,90 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[19, 6], Operations: ['20-12=8', '8-2=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,90 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[19, 16], Operations: ['20+12=32', '32/2=16']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,90 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,90 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
38,
92,
98,
20
] | 51 | [
"92*20=1840",
"98+1840=1938",
"1938/38=51"
] | Current State: 51:[38, 92, 98, 20], Operations: []
Exploring Operation: 92*20=1840, Resulting Numbers: [38, 98, 1840]
Generated Node #2: [38, 98, 1840] from Operation: 92*20=1840
Current State: 51:[38, 98, 1840], Operations: ['92*20=1840']
Exploring Operation: 98+1840=1938, Resulting Numbers: [38, 1938]
Generated Node #3: [38, 1938] from Operation: 98+1840=1938
Current State: 51:[38, 1938], Operations: ['92*20=1840', '98+1840=1938']
Exploring Operation: 1938/38=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[38, 92, 98, 20], Operations: []
Exploring Operation: 92-20=72, Resulting Numbers: [38, 98, 72]
Generated Node #0,0: 51:[38, 98, 72] Operation: 92-20=72
Exploring Operation: 98-92=6, Resulting Numbers: [38, 20, 6]
Generated Node #0,1: 51:[38, 20, 6] Operation: 98-92=6
Exploring Operation: 98-38=60, Resulting Numbers: [92, 20, 60]
Generated Node #0,2: 51:[92, 20, 60] Operation: 98-38=60
Exploring Operation: 92-38=54, Resulting Numbers: [98, 20, 54]
Generated Node #0,3: 51:[98, 20, 54] Operation: 92-38=54
Moving to Node #0,1
Current State: 51:[38, 20, 6], Operations: ['98-92=6']
Exploring Operation: 38+20=58, Resulting Numbers: [6, 58]
Generated Node #0,1,0: 51:[6, 58] Operation: 38+20=58
Exploring Operation: 38-20=18, Resulting Numbers: [6, 18]
Generated Node #0,1,1: 51:[6, 18] Operation: 38-20=18
Exploring Operation: 38+6=44, Resulting Numbers: [20, 44]
Generated Node #0,1,2: 51:[20, 44] Operation: 38+6=44
Exploring Operation: 20-6=14, Resulting Numbers: [38, 14]
Generated Node #0,1,3: 51:[38, 14] Operation: 20-6=14
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 51:[6, 18], Operations: ['98-92=6', '38-20=18']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,51 unequal: No Solution
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[6, 58], Operations: ['98-92=6', '38+20=58']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 6*58=348, Resulting Numbers: [348]
348,51 unequal: No Solution
Exploring Operation: 6+58=64, Resulting Numbers: [64]
64,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 51:[20, 44], Operations: ['98-92=6', '38+6=44']
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,51 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 51:[38, 14], Operations: ['98-92=6', '20-6=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,51 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: 51:[98, 20, 54], Operations: ['92-38=54']
Exploring Operation: 98-54=44, Resulting Numbers: [20, 44]
Generated Node #0,3,0: 51:[20, 44] Operation: 98-54=44
Exploring Operation: 98-20=78, Resulting Numbers: [54, 78]
Generated Node #0,3,1: 51:[54, 78] Operation: 98-20=78
Exploring Operation: 98+20=118, Resulting Numbers: [54, 118]
Generated Node #0,3,2: 51:[54, 118] Operation: 98+20=118
Exploring Operation: 54-20=34, Resulting Numbers: [98, 34]
Generated Node #0,3,3: 51:[98, 34] Operation: 54-20=34
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 51:[20, 44], Operations: ['92-38=54', '98-54=44']
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,51 unequal: No Solution
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 51:[54, 78], Operations: ['92-38=54', '98-20=78']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 54*78=4212, Resulting Numbers: [4212]
4212,51 unequal: No Solution
Exploring Operation: 54+78=132, Resulting Numbers: [132]
132,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 51:[98, 34], Operations: ['92-38=54', '54-20=34']
Exploring Operation: 98+34=132, Resulting Numbers: [132]
132,51 unequal: No Solution
Exploring Operation: 98-34=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Exploring Operation: 98*34=3332, Resulting Numbers: [3332]
3332,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 51:[54, 118], Operations: ['92-38=54', '98+20=118']
Exploring Operation: 118-54=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Exploring Operation: 54+118=172, Resulting Numbers: [172]
172,51 unequal: No Solution
Exploring Operation: 54*118=6372, Resulting Numbers: [6372]
6372,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 51:[92, 20, 60], Operations: ['98-38=60']
Exploring Operation: 60/20=3, Resulting Numbers: [92, 3]
Generated Node #0,2,0: 51:[92, 3] Operation: 60/20=3
Exploring Operation: 60-20=40, Resulting Numbers: [92, 40]
Generated Node #0,2,1: 51:[92, 40] Operation: 60-20=40
Exploring Operation: 92-20=72, Resulting Numbers: [60, 72]
Generated Node #0,2,2: 51:[60, 72] Operation: 92-20=72
Exploring Operation: 92-60=32, Resulting Numbers: [20, 32]
Generated Node #0,2,3: 51:[20, 32] Operation: 92-60=32
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 51:[20, 32], Operations: ['98-38=60', '92-60=32']
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 20*32=640, Resulting Numbers: [640]
640,51 unequal: No Solution
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[60, 72], Operations: ['98-38=60', '92-20=72']
Exploring Operation: 60+72=132, Resulting Numbers: [132]
132,51 unequal: No Solution
Exploring Operation: 60*72=4320, Resulting Numbers: [4320]
4320,51 unequal: No Solution
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[92, 3], Operations: ['98-38=60', '60/20=3']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,51 unequal: No Solution
Exploring Operation: 92*3=276, Resulting Numbers: [276]
276,51 unequal: No Solution
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[92, 40], Operations: ['98-38=60', '60-20=40']
Exploring Operation: 92+40=132, Resulting Numbers: [132]
132,51 unequal: No Solution
Exploring Operation: 92*40=3680, Resulting Numbers: [3680]
3680,51 unequal: No Solution
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,51 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: 51:[38, 98, 72], Operations: ['92-20=72']
Exploring Operation: 98-72=26, Resulting Numbers: [38, 26]
Generated Node #0,0,0: 51:[38, 26] Operation: 98-72=26
Exploring Operation: 72-38=34, Resulting Numbers: [98, 34]
Generated Node #0,0,1: 51:[98, 34] Operation: 72-38=34
Exploring Operation: 98-38=60, Resulting Numbers: [72, 60]
Generated Node #0,0,2: 51:[72, 60] Operation: 98-38=60
Exploring Operation: 38+98=136, Resulting Numbers: [72, 136]
Generated Node #0,0,3: 51:[72, 136] Operation: 38+98=136
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[38, 26], Operations: ['92-20=72', '98-72=26']
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,51 unequal: No Solution
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[72, 60], Operations: ['92-20=72', '98-38=60']
Exploring Operation: 72*60=4320, Resulting Numbers: [4320]
4320,51 unequal: No Solution
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 72+60=132, Resulting Numbers: [132]
132,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[98, 34], Operations: ['92-20=72', '72-38=34']
Exploring Operation: 98+34=132, Resulting Numbers: [132]
132,51 unequal: No Solution
Exploring Operation: 98*34=3332, Resulting Numbers: [3332]
3332,51 unequal: No Solution
Exploring Operation: 98-34=64, Resulting Numbers: [64]
64,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[72, 136], Operations: ['92-20=72', '38+98=136']
Exploring Operation: 72+136=208, Resulting Numbers: [208]
208,51 unequal: No Solution
Exploring Operation: 136-72=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Exploring Operation: 72*136=9792, Resulting Numbers: [9792]
9792,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
2,
41,
66,
18
] | 73 | [
"2*66=132",
"41+18=59",
"132-59=73"
] | Current State: 73:[2, 41, 66, 18], Operations: []
Exploring Operation: 2*66=132, Resulting Numbers: [41, 18, 132]
Generated Node #2: [41, 18, 132] from Operation: 2*66=132
Current State: 73:[41, 18, 132], Operations: ['2*66=132']
Exploring Operation: 41+18=59, Resulting Numbers: [132, 59]
Generated Node #3: [132, 59] from Operation: 41+18=59
Current State: 73:[132, 59], Operations: ['2*66=132', '41+18=59']
Exploring Operation: 132-59=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[2, 41, 66, 18], Operations: []
Exploring Operation: 2*18=36, Resulting Numbers: [41, 66, 36]
Generated Node #0,0: 73:[41, 66, 36] Operation: 2*18=36
Exploring Operation: 2*41=82, Resulting Numbers: [66, 18, 82]
Generated Node #0,1: 73:[66, 18, 82] Operation: 2*41=82
Moving to Node #0,1
Current State: 73:[66, 18, 82], Operations: ['2*41=82']
Exploring Operation: 82-18=64, Resulting Numbers: [66, 64]
Generated Node #0,1,0: 73:[66, 64] Operation: 82-18=64
Exploring Operation: 66+18=84, Resulting Numbers: [82, 84]
Generated Node #0,1,1: 73:[82, 84] Operation: 66+18=84
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[66, 64], Operations: ['2*41=82', '82-18=64']
Exploring Operation: 66+64=130, Resulting Numbers: [130]
130,73 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[82, 84], Operations: ['2*41=82', '66+18=84']
Exploring Operation: 82+84=166, Resulting Numbers: [166]
166,73 unequal: No Solution
Exploring Operation: 84-82=2, Resulting Numbers: [2]
2,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 73:[41, 66, 36], Operations: ['2*18=36']
Exploring Operation: 66+36=102, Resulting Numbers: [41, 102]
Generated Node #0,0,0: 73:[41, 102] Operation: 66+36=102
Exploring Operation: 41+36=77, Resulting Numbers: [66, 77]
Generated Node #0,0,1: 73:[66, 77] Operation: 41+36=77
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[66, 77], Operations: ['2*18=36', '41+36=77']
Exploring Operation: 77-66=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 66+77=143, Resulting Numbers: [143]
143,73 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 #0,0,0
Current State: 73:[41, 102], Operations: ['2*18=36', '66+36=102']
Exploring Operation: 41+102=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 102-41=61, Resulting Numbers: [61]
61,73 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 |
[
31,
11,
1,
45
] | 87 | [
"31+11=42",
"1*45=45",
"42+45=87"
] | Current State: 87:[31, 11, 1, 45], Operations: []
Exploring Operation: 31+11=42, Resulting Numbers: [1, 45, 42]
Generated Node #2: [1, 45, 42] from Operation: 31+11=42
Current State: 87:[1, 45, 42], Operations: ['31+11=42']
Exploring Operation: 1*45=45, Resulting Numbers: [42, 45]
Generated Node #3: [42, 45] from Operation: 1*45=45
Current State: 87:[42, 45], Operations: ['31+11=42', '1*45=45']
Exploring Operation: 42+45=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[31, 11, 1, 45], Operations: []
Exploring Operation: 45-11=34, Resulting Numbers: [31, 1, 34]
Generated Node #0,0: 87:[31, 1, 34] Operation: 45-11=34
Exploring Operation: 45-31=14, Resulting Numbers: [11, 1, 14]
Generated Node #0,1: 87:[11, 1, 14] Operation: 45-31=14
Exploring Operation: 31+45=76, Resulting Numbers: [11, 1, 76]
Generated Node #0,2: 87:[11, 1, 76] Operation: 31+45=76
Moving to Node #0,0
Current State: 87:[31, 1, 34], Operations: ['45-11=34']
Exploring Operation: 34-1=33, Resulting Numbers: [31, 33]
Generated Node #0,0,0: 87:[31, 33] Operation: 34-1=33
Exploring Operation: 31-1=30, Resulting Numbers: [34, 30]
Generated Node #0,0,1: 87:[34, 30] Operation: 31-1=30
Exploring Operation: 34-31=3, Resulting Numbers: [1, 3]
Generated Node #0,0,2: 87:[1, 3] Operation: 34-31=3
Moving to Node #0,1
Current State: 87:[11, 1, 14], Operations: ['45-31=14']
Exploring Operation: 11+14=25, Resulting Numbers: [1, 25]
Generated Node #0,1,0: 87:[1, 25] Operation: 11+14=25
Exploring Operation: 11-1=10, Resulting Numbers: [14, 10]
Generated Node #0,1,1: 87:[14, 10] Operation: 11-1=10
Exploring Operation: 14-11=3, Resulting Numbers: [1, 3]
Generated Node #0,1,2: 87:[1, 3] Operation: 14-11=3
Moving to Node #0,2
Current State: 87:[11, 1, 76], Operations: ['31+45=76']
Exploring Operation: 11-1=10, Resulting Numbers: [76, 10]
Generated Node #0,2,0: 87:[76, 10] Operation: 11-1=10
Exploring Operation: 1+76=77, Resulting Numbers: [11, 77]
Generated Node #0,2,1: 87:[11, 77] Operation: 1+76=77
Exploring Operation: 11+76=87, Resulting Numbers: [1, 87]
Generated Node #0,2,2: 87:[1, 87] Operation: 11+76=87
Moving to Node #0,0,2
Current State: 87:[1, 3], Operations: ['45-11=34', '34-31=3']
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[1, 87], Operations: ['31+45=76', '11+76=87']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[31, 11, 1, 45], Operations: []
Exploring Operation: 31+45=76, Resulting Numbers: [11, 1, 76]
Generated Node #0,2: 87:[11, 1, 76] Operation: 31+45=76
Moving to Node #0,2
Current State: 87:[11, 1, 76], Operations: ['31+45=76']
Exploring Operation: 11+76=87, Resulting Numbers: [1, 87]
Generated Node #0,2,2: 87:[1, 87] Operation: 11+76=87
Moving to Node #0,2,2
Current State: 87:[1, 87], Operations: ['31+45=76', '11+76=87']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.982639 | hs_3 | sum_heuristic |
[
14,
58,
4,
97
] | 86 | [
"58-14=44",
"44/4=11",
"97-11=86"
] | Current State: 86:[14, 58, 4, 97], Operations: []
Exploring Operation: 58-14=44, Resulting Numbers: [4, 97, 44]
Generated Node #2: [4, 97, 44] from Operation: 58-14=44
Current State: 86:[4, 97, 44], Operations: ['58-14=44']
Exploring Operation: 44/4=11, Resulting Numbers: [97, 11]
Generated Node #3: [97, 11] from Operation: 44/4=11
Current State: 86:[97, 11], Operations: ['58-14=44', '44/4=11']
Exploring Operation: 97-11=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[14, 58, 4, 97], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [14, 4, 39]
Generated Node #0,0: 86:[14, 4, 39] Operation: 97-58=39
Exploring Operation: 58-14=44, Resulting Numbers: [4, 97, 44]
Generated Node #0,1: 86:[4, 97, 44] Operation: 58-14=44
Moving to Node #0,1
Current State: 86:[4, 97, 44], Operations: ['58-14=44']
Exploring Operation: 97-44=53, Resulting Numbers: [4, 53]
Generated Node #0,1,0: 86:[4, 53] Operation: 97-44=53
Exploring Operation: 97-4=93, Resulting Numbers: [44, 93]
Generated Node #0,1,1: 86:[44, 93] Operation: 97-4=93
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[44, 93], Operations: ['58-14=44', '97-4=93']
Exploring Operation: 44+93=137, Resulting Numbers: [137]
137,86 unequal: No Solution
Exploring Operation: 93-44=49, Resulting Numbers: [49]
49,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[4, 53], Operations: ['58-14=44', '97-44=53']
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,86 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,86 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: 86:[14, 4, 39], Operations: ['97-58=39']
Exploring Operation: 14+39=53, Resulting Numbers: [4, 53]
Generated Node #0,0,0: 86:[4, 53] Operation: 14+39=53
Exploring Operation: 14-4=10, Resulting Numbers: [39, 10]
Generated Node #0,0,1: 86:[39, 10] Operation: 14-4=10
Moving to Node #0,0,0
Current State: 86:[4, 53], Operations: ['97-58=39', '14+39=53']
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,86 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[39, 10], Operations: ['97-58=39', '14-4=10']
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,86 unequal: No Solution
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,86 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
94,
13,
58,
24
] | 25 | [
"94+13=107",
"58+24=82",
"107-82=25"
] | Current State: 25:[94, 13, 58, 24], Operations: []
Exploring Operation: 94+13=107, Resulting Numbers: [58, 24, 107]
Generated Node #2: [58, 24, 107] from Operation: 94+13=107
Current State: 25:[58, 24, 107], Operations: ['94+13=107']
Exploring Operation: 58+24=82, Resulting Numbers: [107, 82]
Generated Node #3: [107, 82] from Operation: 58+24=82
Current State: 25:[107, 82], Operations: ['94+13=107', '58+24=82']
Exploring Operation: 107-82=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[94, 13, 58, 24], Operations: []
Exploring Operation: 94-58=36, Resulting Numbers: [13, 24, 36]
Generated Node #0,0: 25:[13, 24, 36] Operation: 94-58=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[13, 24, 36], Operations: ['94-58=36']
Exploring Operation: 36-13=23, Resulting Numbers: [24, 23]
Generated Node #0,0,0: 25:[24, 23] Operation: 36-13=23
Moving to Node #0,0,0
Current State: 25:[24, 23], Operations: ['94-58=36', '36-13=23']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
84,
4,
27,
19
] | 21 | [
"27-4=23",
"23-19=4",
"84/4=21"
] | Current State: 21:[84, 4, 27, 19], Operations: []
Exploring Operation: 27-4=23, Resulting Numbers: [84, 19, 23]
Generated Node #2: [84, 19, 23] from Operation: 27-4=23
Current State: 21:[84, 19, 23], Operations: ['27-4=23']
Exploring Operation: 23-19=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 23-19=4
Current State: 21:[84, 4], Operations: ['27-4=23', '23-19=4']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[84, 4, 27, 19], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [4, 19, 57]
Generated Node #0,0: 21:[4, 19, 57] Operation: 84-27=57
Exploring Operation: 84-19=65, Resulting Numbers: [4, 27, 65]
Generated Node #0,1: 21:[4, 27, 65] Operation: 84-19=65
Exploring Operation: 84/4=21, Resulting Numbers: [27, 19, 21]
Generated Node #0,2: 21:[27, 19, 21] Operation: 84/4=21
Moving to Node #0,2
Current State: 21:[27, 19, 21], Operations: ['84/4=21']
Exploring Operation: 27-21=6, Resulting Numbers: [19, 6]
Generated Node #0,2,0: 21:[19, 6] Operation: 27-21=6
Exploring Operation: 21-19=2, Resulting Numbers: [27, 2]
Generated Node #0,2,1: 21:[27, 2] Operation: 21-19=2
Exploring Operation: 27-19=8, Resulting Numbers: [21, 8]
Generated Node #0,2,2: 21:[21, 8] Operation: 27-19=8
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[21, 8], Operations: ['84/4=21', '27-19=8']
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,21 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[19, 6], Operations: ['84/4=21', '27-21=6']
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,21 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[27, 2], Operations: ['84/4=21', '21-19=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,21 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: 21:[4, 19, 57], Operations: ['84-27=57']
Exploring Operation: 57/19=3, Resulting Numbers: [4, 3]
Generated Node #0,0,0: 21:[4, 3] Operation: 57/19=3
Exploring Operation: 57-4=53, Resulting Numbers: [19, 53]
Generated Node #0,0,1: 21:[19, 53] Operation: 57-4=53
Exploring Operation: 57-19=38, Resulting Numbers: [4, 38]
Generated Node #0,0,2: 21:[4, 38] Operation: 57-19=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[4, 3], Operations: ['84-27=57', '57/19=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 21:[4, 38], Operations: ['84-27=57', '57-19=38']
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,21 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 21:[19, 53], Operations: ['84-27=57', '57-4=53']
Exploring Operation: 19+53=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 19*53=1007, Resulting Numbers: [1007]
1007,21 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 21:[4, 27, 65], Operations: ['84-19=65']
Exploring Operation: 65-27=38, Resulting Numbers: [4, 38]
Generated Node #0,1,0: 21:[4, 38] Operation: 65-27=38
Exploring Operation: 65-4=61, Resulting Numbers: [27, 61]
Generated Node #0,1,1: 21:[27, 61] Operation: 65-4=61
Exploring Operation: 27-4=23, Resulting Numbers: [65, 23]
Generated Node #0,1,2: 21:[65, 23] Operation: 27-4=23
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[4, 38], Operations: ['84-19=65', '65-27=38']
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,21 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[27, 61], Operations: ['84-19=65', '65-4=61']
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,21 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 21:[65, 23], Operations: ['84-19=65', '27-4=23']
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,21 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,21 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 |
[
96,
72,
81,
76
] | 24 | [
"72*76=5472",
"5472/96=57",
"81-57=24"
] | Current State: 24:[96, 72, 81, 76], Operations: []
Exploring Operation: 72*76=5472, Resulting Numbers: [96, 81, 5472]
Generated Node #2: [96, 81, 5472] from Operation: 72*76=5472
Current State: 24:[96, 81, 5472], Operations: ['72*76=5472']
Exploring Operation: 5472/96=57, Resulting Numbers: [81, 57]
Generated Node #3: [81, 57] from Operation: 5472/96=57
Current State: 24:[81, 57], Operations: ['72*76=5472', '5472/96=57']
Exploring Operation: 81-57=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[96, 72, 81, 76], Operations: []
Exploring Operation: 96-81=15, Resulting Numbers: [72, 76, 15]
Generated Node #0,0: 24:[72, 76, 15] Operation: 96-81=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[72, 76, 15], Operations: ['96-81=15']
Exploring Operation: 76-72=4, Resulting Numbers: [15, 4]
Generated Node #0,0,0: 24:[15, 4] Operation: 76-72=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 24:[15, 4], Operations: ['96-81=15', '76-72=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
14,
78,
78,
84
] | 58 | [
"78-14=64",
"84-78=6",
"64-6=58"
] | Current State: 58:[14, 78, 78, 84], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [84, 64]
Generated Node #2: [84, 64] from Operation: 78-14=64
Current State: 58:[84, 64], Operations: ['78-14=64']
Exploring Operation: 84-78=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 84-78=6
Current State: 58:[64, 6], Operations: ['78-14=64', '84-78=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[14, 78, 78, 84], Operations: []
Exploring Operation: 78/78=1, Resulting Numbers: [14, 84, 1]
Generated Node #0,0: 58:[14, 84, 1] Operation: 78/78=1
Exploring Operation: 84-78=6, Resulting Numbers: [14, 78, 6]
Generated Node #0,1: 58:[14, 78, 6] Operation: 84-78=6
Exploring Operation: 84-78=6, Resulting Numbers: [14, 78, 6]
Generated Node #0,2: 58:[14, 78, 6] Operation: 84-78=6
Exploring Operation: 78-78=0, Resulting Numbers: [14, 84, 0]
Generated Node #0,3: 58:[14, 84, 0] Operation: 78-78=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[14, 78, 6], Operations: ['84-78=6']
Exploring Operation: 78/6=13, Resulting Numbers: [14, 13]
Generated Node #0,1,0: 58:[14, 13] Operation: 78/6=13
Exploring Operation: 78-6=72, Resulting Numbers: [14, 72]
Generated Node #0,1,1: 58:[14, 72] Operation: 78-6=72
Exploring Operation: 78-14=64, Resulting Numbers: [6, 64]
Generated Node #0,1,2: 58:[6, 64] Operation: 78-14=64
Exploring Operation: 14-6=8, Resulting Numbers: [78, 8]
Generated Node #0,1,3: 58:[78, 8] Operation: 14-6=8
Moving to Node #0,1,2
Current State: 58:[6, 64], Operations: ['84-78=6', '78-14=64']
Exploring Operation: 6+64=70, Resulting Numbers: [70]
70,58 unequal: No Solution
Exploring Operation: 6*64=384, Resulting Numbers: [384]
384,58 unequal: No Solution
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[14, 78, 78, 84], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [14, 78, 6]
Generated Node #0,1: 58:[14, 78, 6] Operation: 84-78=6
Moving to Node #0,1
Current State: 58:[14, 78, 6], Operations: ['84-78=6']
Exploring Operation: 78-14=64, Resulting Numbers: [6, 64]
Generated Node #0,1,2: 58:[6, 64] Operation: 78-14=64
Moving to Node #0,1,2
Current State: 58:[6, 64], Operations: ['84-78=6', '78-14=64']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
19,
83,
33,
82
] | 95 | [
"83+82=165",
"19*165=3135",
"3135/33=95"
] | Current State: 95:[19, 83, 33, 82], Operations: []
Exploring Operation: 83+82=165, Resulting Numbers: [19, 33, 165]
Generated Node #2: [19, 33, 165] from Operation: 83+82=165
Current State: 95:[19, 33, 165], Operations: ['83+82=165']
Exploring Operation: 19*165=3135, Resulting Numbers: [33, 3135]
Generated Node #3: [33, 3135] from Operation: 19*165=3135
Current State: 95:[33, 3135], Operations: ['83+82=165', '19*165=3135']
Exploring Operation: 3135/33=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[19, 83, 33, 82], Operations: []
Exploring Operation: 19+82=101, Resulting Numbers: [83, 33, 101]
Generated Node #0,0: 95:[83, 33, 101] Operation: 19+82=101
Exploring Operation: 33-19=14, Resulting Numbers: [83, 82, 14]
Generated Node #0,1: 95:[83, 82, 14] Operation: 33-19=14
Exploring Operation: 19+83=102, Resulting Numbers: [33, 82, 102]
Generated Node #0,2: 95:[33, 82, 102] Operation: 19+83=102
Exploring Operation: 33+82=115, Resulting Numbers: [19, 83, 115]
Generated Node #0,3: 95:[19, 83, 115] Operation: 33+82=115
Exploring Operation: 83-82=1, Resulting Numbers: [19, 33, 1]
Generated Node #0,4: 95:[19, 33, 1] Operation: 83-82=1
Moving to Node #0,4
Current State: 95:[19, 33, 1], Operations: ['83-82=1']
Exploring Operation: 33*1=33, Resulting Numbers: [19, 33]
Generated Node #0,4,0: 95:[19, 33] Operation: 33*1=33
Exploring Operation: 19/1=19, Resulting Numbers: [33, 19]
Generated Node #0,4,1: 95:[33, 19] Operation: 19/1=19
Exploring Operation: 33-1=32, Resulting Numbers: [19, 32]
Generated Node #0,4,2: 95:[19, 32] Operation: 33-1=32
Exploring Operation: 19*1=19, Resulting Numbers: [33, 19]
Generated Node #0,4,3: 95:[33, 19] Operation: 19*1=19
Exploring Operation: 33-19=14, Resulting Numbers: [1, 14]
Generated Node #0,4,4: 95:[1, 14] Operation: 33-19=14
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 95:[1, 14], Operations: ['83-82=1', '33-19=14']
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 95:[19, 32], Operations: ['83-82=1', '33-1=32']
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,95 unequal: No Solution
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,95 unequal: No Solution
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 95:[19, 33], Operations: ['83-82=1', '33*1=33']
Exploring Operation: 19*33=627, Resulting Numbers: [627]
627,95 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 19+33=52, Resulting Numbers: [52]
52,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 95:[33, 19], Operations: ['83-82=1', '19/1=19']
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,95 unequal: No Solution
Exploring Operation: 33*19=627, Resulting Numbers: [627]
627,95 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 95:[33, 19], Operations: ['83-82=1', '19*1=19']
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,95 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 33*19=627, Resulting Numbers: [627]
627,95 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: 95:[83, 82, 14], Operations: ['33-19=14']
Exploring Operation: 83+14=97, Resulting Numbers: [82, 97]
Generated Node #0,1,0: 95:[82, 97] Operation: 83+14=97
Exploring Operation: 83-14=69, Resulting Numbers: [82, 69]
Generated Node #0,1,1: 95:[82, 69] Operation: 83-14=69
Exploring Operation: 83-82=1, Resulting Numbers: [14, 1]
Generated Node #0,1,2: 95:[14, 1] Operation: 83-82=1
Exploring Operation: 82+14=96, Resulting Numbers: [83, 96]
Generated Node #0,1,3: 95:[83, 96] Operation: 82+14=96
Exploring Operation: 82-14=68, Resulting Numbers: [83, 68]
Generated Node #0,1,4: 95:[83, 68] Operation: 82-14=68
Moving to Node #0,0
Current State: 95:[83, 33, 101], Operations: ['19+82=101']
Exploring Operation: 101-83=18, Resulting Numbers: [33, 18]
Generated Node #0,0,0: 95:[33, 18] Operation: 101-83=18
Exploring Operation: 83+33=116, Resulting Numbers: [101, 116]
Generated Node #0,0,1: 95:[101, 116] Operation: 83+33=116
Exploring Operation: 83-33=50, Resulting Numbers: [101, 50]
Generated Node #0,0,2: 95:[101, 50] Operation: 83-33=50
Exploring Operation: 101-33=68, Resulting Numbers: [83, 68]
Generated Node #0,0,3: 95:[83, 68] Operation: 101-33=68
Exploring Operation: 33+101=134, Resulting Numbers: [83, 134]
Generated Node #0,0,4: 95:[83, 134] Operation: 33+101=134
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[33, 18], Operations: ['19+82=101', '101-83=18']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,95 unequal: No Solution
Exploring Operation: 33*18=594, Resulting Numbers: [594]
594,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[101, 116], Operations: ['19+82=101', '83+33=116']
Exploring Operation: 101*116=11716, Resulting Numbers: [11716]
11716,95 unequal: No Solution
Exploring Operation: 116-101=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 101+116=217, Resulting Numbers: [217]
217,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[101, 50], Operations: ['19+82=101', '83-33=50']
Exploring Operation: 101-50=51, Resulting Numbers: [51]
51,95 unequal: No Solution
Exploring Operation: 101+50=151, Resulting Numbers: [151]
151,95 unequal: No Solution
Exploring Operation: 101*50=5050, Resulting Numbers: [5050]
5050,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 95:[83, 68], Operations: ['19+82=101', '101-33=68']
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 83*68=5644, Resulting Numbers: [5644]
5644,95 unequal: No Solution
Exploring Operation: 83+68=151, Resulting Numbers: [151]
151,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 95:[83, 134], Operations: ['19+82=101', '33+101=134']
Exploring Operation: 83+134=217, Resulting Numbers: [217]
217,95 unequal: No Solution
Exploring Operation: 134-83=51, Resulting Numbers: [51]
51,95 unequal: No Solution
Exploring Operation: 83*134=11122, Resulting Numbers: [11122]
11122,95 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: 95:[19, 83, 115], Operations: ['33+82=115']
Exploring Operation: 115-19=96, Resulting Numbers: [83, 96]
Generated Node #0,3,0: 95:[83, 96] Operation: 115-19=96
Exploring Operation: 83-19=64, Resulting Numbers: [115, 64]
Generated Node #0,3,1: 95:[115, 64] Operation: 83-19=64
Exploring Operation: 19+83=102, Resulting Numbers: [115, 102]
Generated Node #0,3,2: 95:[115, 102] Operation: 19+83=102
Exploring Operation: 19+115=134, Resulting Numbers: [83, 134]
Generated Node #0,3,3: 95:[83, 134] Operation: 19+115=134
Exploring Operation: 115-83=32, Resulting Numbers: [19, 32]
Generated Node #0,3,4: 95:[19, 32] Operation: 115-83=32
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 95:[83, 96], Operations: ['33+82=115', '115-19=96']
Exploring Operation: 83*96=7968, Resulting Numbers: [7968]
7968,95 unequal: No Solution
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 83+96=179, Resulting Numbers: [179]
179,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 95:[19, 32], Operations: ['33+82=115', '115-83=32']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,95 unequal: No Solution
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 95:[115, 102], Operations: ['33+82=115', '19+83=102']
Exploring Operation: 115*102=11730, Resulting Numbers: [11730]
11730,95 unequal: No Solution
Exploring Operation: 115+102=217, Resulting Numbers: [217]
217,95 unequal: No Solution
Exploring Operation: 115-102=13, Resulting Numbers: [13]
13,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 95:[115, 64], Operations: ['33+82=115', '83-19=64']
Exploring Operation: 115+64=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 115-64=51, Resulting Numbers: [51]
51,95 unequal: No Solution
Exploring Operation: 115*64=7360, Resulting Numbers: [7360]
7360,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 95:[83, 134], Operations: ['33+82=115', '19+115=134']
Exploring Operation: 83+134=217, Resulting Numbers: [217]
217,95 unequal: No Solution
Exploring Operation: 134-83=51, Resulting Numbers: [51]
51,95 unequal: No Solution
Exploring Operation: 83*134=11122, Resulting Numbers: [11122]
11122,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 95:[33, 82, 102], Operations: ['19+83=102']
Exploring Operation: 33+82=115, Resulting Numbers: [102, 115]
Generated Node #0,2,0: 95:[102, 115] Operation: 33+82=115
Exploring Operation: 33+102=135, Resulting Numbers: [82, 135]
Generated Node #0,2,1: 95:[82, 135] Operation: 33+102=135
Exploring Operation: 82-33=49, Resulting Numbers: [102, 49]
Generated Node #0,2,2: 95:[102, 49] Operation: 82-33=49
Exploring Operation: 102-33=69, Resulting Numbers: [82, 69]
Generated Node #0,2,3: 95:[82, 69] Operation: 102-33=69
Exploring Operation: 102-82=20, Resulting Numbers: [33, 20]
Generated Node #0,2,4: 95:[33, 20] Operation: 102-82=20
Moving to Node #0,1,2
Current State: 95:[14, 1], Operations: ['33-19=14', '83-82=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Moving to Node #0,1,3
Current State: 95:[83, 96], Operations: ['33-19=14', '82+14=96']
Exploring Operation: 83+96=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 83*96=7968, Resulting Numbers: [7968]
7968,95 unequal: No Solution
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[82, 97], Operations: ['33-19=14', '83+14=97']
Exploring Operation: 97-82=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 82+97=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 82*97=7954, Resulting Numbers: [7954]
7954,95 unequal: No Solution
Moving to Node #0,2,4
Current State: 95:[33, 20], Operations: ['19+83=102', '102-82=20']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 33*20=660, Resulting Numbers: [660]
660,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[102, 115], Operations: ['19+83=102', '33+82=115']
Exploring Operation: 102+115=217, Resulting Numbers: [217]
217,95 unequal: No Solution
Exploring Operation: 115-102=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 102*115=11730, Resulting Numbers: [11730]
11730,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[102, 49], Operations: ['19+83=102', '82-33=49']
Exploring Operation: 102*49=4998, Resulting Numbers: [4998]
4998,95 unequal: No Solution
Exploring Operation: 102+49=151, Resulting Numbers: [151]
151,95 unequal: No Solution
Exploring Operation: 102-49=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[82, 69], Operations: ['33-19=14', '83-14=69']
Exploring Operation: 82*69=5658, Resulting Numbers: [5658]
5658,95 unequal: No Solution
Exploring Operation: 82+69=151, Resulting Numbers: [151]
151,95 unequal: No Solution
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Moving to Node #0,1,4
Current State: 95:[83, 68], Operations: ['33-19=14', '82-14=68']
Exploring Operation: 83*68=5644, Resulting Numbers: [5644]
5644,95 unequal: No Solution
Exploring Operation: 83+68=151, Resulting Numbers: [151]
151,95 unequal: No Solution
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[82, 69], Operations: ['19+83=102', '102-33=69']
Exploring Operation: 82+69=151, Resulting Numbers: [151]
151,95 unequal: No Solution
Exploring Operation: 82*69=5658, Resulting Numbers: [5658]
5658,95 unequal: No Solution
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[82, 135], Operations: ['19+83=102', '33+102=135']
Exploring Operation: 82+135=217, Resulting Numbers: [217]
217,95 unequal: No Solution
Exploring Operation: 135-82=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 82*135=11070, Resulting Numbers: [11070]
11070,95 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
49,
93,
27,
81
] | 34 | [
"49+93=142",
"27+81=108",
"142-108=34"
] | Current State: 34:[49, 93, 27, 81], Operations: []
Exploring Operation: 49+93=142, Resulting Numbers: [27, 81, 142]
Generated Node #2: [27, 81, 142] from Operation: 49+93=142
Current State: 34:[27, 81, 142], Operations: ['49+93=142']
Exploring Operation: 27+81=108, Resulting Numbers: [142, 108]
Generated Node #3: [142, 108] from Operation: 27+81=108
Current State: 34:[142, 108], Operations: ['49+93=142', '27+81=108']
Exploring Operation: 142-108=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[49, 93, 27, 81], Operations: []
Exploring Operation: 93-81=12, Resulting Numbers: [49, 27, 12]
Generated Node #0,0: 34:[49, 27, 12] Operation: 93-81=12
Exploring Operation: 93-49=44, Resulting Numbers: [27, 81, 44]
Generated Node #0,1: 34:[27, 81, 44] Operation: 93-49=44
Exploring Operation: 81-49=32, Resulting Numbers: [93, 27, 32]
Generated Node #0,2: 34:[93, 27, 32] Operation: 81-49=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[49, 27, 12], Operations: ['93-81=12']
Exploring Operation: 49-12=37, Resulting Numbers: [27, 37]
Generated Node #0,0,0: 34:[27, 37] Operation: 49-12=37
Exploring Operation: 49-27=22, Resulting Numbers: [12, 22]
Generated Node #0,0,1: 34:[12, 22] Operation: 49-27=22
Exploring Operation: 27-12=15, Resulting Numbers: [49, 15]
Generated Node #0,0,2: 34:[49, 15] Operation: 27-12=15
Moving to Node #0,0,0
Current State: 34:[27, 37], Operations: ['93-81=12', '49-12=37']
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 27+37=64, Resulting Numbers: [64]
64,34 unequal: No Solution
Exploring Operation: 27*37=999, Resulting Numbers: [999]
999,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[12, 22], Operations: ['93-81=12', '49-27=22']
Exploring Operation: 12*22=264, Resulting Numbers: [264]
264,34 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[49, 93, 27, 81], Operations: []
Exploring Operation: 93-81=12, Resulting Numbers: [49, 27, 12]
Generated Node #0,0: 34:[49, 27, 12] Operation: 93-81=12
Moving to Node #0,0
Current State: 34:[49, 27, 12], Operations: ['93-81=12']
Exploring Operation: 49-27=22, Resulting Numbers: [12, 22]
Generated Node #0,0,1: 34:[12, 22] Operation: 49-27=22
Moving to Node #0,0,1
Current State: 34:[12, 22], Operations: ['93-81=12', '49-27=22']
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
20,
11,
72,
88
] | 47 | [
"20+11=31",
"88-72=16",
"31+16=47"
] | Current State: 47:[20, 11, 72, 88], Operations: []
Exploring Operation: 20+11=31, Resulting Numbers: [72, 88, 31]
Generated Node #2: [72, 88, 31] from Operation: 20+11=31
Current State: 47:[72, 88, 31], Operations: ['20+11=31']
Exploring Operation: 88-72=16, Resulting Numbers: [31, 16]
Generated Node #3: [31, 16] from Operation: 88-72=16
Current State: 47:[31, 16], Operations: ['20+11=31', '88-72=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[20, 11, 72, 88], Operations: []
Exploring Operation: 20+11=31, Resulting Numbers: [72, 88, 31]
Generated Node #0,0: 47:[72, 88, 31] Operation: 20+11=31
Exploring Operation: 72-20=52, Resulting Numbers: [11, 88, 52]
Generated Node #0,1: 47:[11, 88, 52] Operation: 72-20=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[72, 88, 31], Operations: ['20+11=31']
Exploring Operation: 88-31=57, Resulting Numbers: [72, 57]
Generated Node #0,0,0: 47:[72, 57] Operation: 88-31=57
Exploring Operation: 88-72=16, Resulting Numbers: [31, 16]
Generated Node #0,0,1: 47:[31, 16] Operation: 88-72=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[72, 57], Operations: ['20+11=31', '88-31=57']
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 72+57=129, Resulting Numbers: [129]
129,47 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:[31, 16], Operations: ['20+11=31', '88-72=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[20, 11, 72, 88], Operations: []
Exploring Operation: 20+11=31, Resulting Numbers: [72, 88, 31]
Generated Node #0,0: 47:[72, 88, 31] Operation: 20+11=31
Moving to Node #0,0
Current State: 47:[72, 88, 31], Operations: ['20+11=31']
Exploring Operation: 88-72=16, Resulting Numbers: [31, 16]
Generated Node #0,0,1: 47:[31, 16] Operation: 88-72=16
Moving to Node #0,0,1
Current State: 47:[31, 16], Operations: ['20+11=31', '88-72=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
29,
56,
85,
17
] | 95 | [
"56-29=27",
"85-17=68",
"27+68=95"
] | Current State: 95:[29, 56, 85, 17], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [85, 17, 27]
Generated Node #2: [85, 17, 27] from Operation: 56-29=27
Current State: 95:[85, 17, 27], Operations: ['56-29=27']
Exploring Operation: 85-17=68, Resulting Numbers: [27, 68]
Generated Node #3: [27, 68] from Operation: 85-17=68
Current State: 95:[27, 68], Operations: ['56-29=27', '85-17=68']
Exploring Operation: 27+68=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[29, 56, 85, 17], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [85, 17, 27]
Generated Node #0,0: 95:[85, 17, 27] Operation: 56-29=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[85, 17, 27], Operations: ['56-29=27']
Exploring Operation: 85/17=5, Resulting Numbers: [27, 5]
Generated Node #0,0,0: 95:[27, 5] Operation: 85/17=5
Moving to Node #0,0,0
Current State: 95:[27, 5], Operations: ['56-29=27', '85/17=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
90,
78,
87,
29
] | 52 | [
"90+78=168",
"87+29=116",
"168-116=52"
] | Current State: 52:[90, 78, 87, 29], Operations: []
Exploring Operation: 90+78=168, Resulting Numbers: [87, 29, 168]
Generated Node #2: [87, 29, 168] from Operation: 90+78=168
Current State: 52:[87, 29, 168], Operations: ['90+78=168']
Exploring Operation: 87+29=116, Resulting Numbers: [168, 116]
Generated Node #3: [168, 116] from Operation: 87+29=116
Current State: 52:[168, 116], Operations: ['90+78=168', '87+29=116']
Exploring Operation: 168-116=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[90, 78, 87, 29], Operations: []
Exploring Operation: 87-78=9, Resulting Numbers: [90, 29, 9]
Generated Node #0,0: 52:[90, 29, 9] Operation: 87-78=9
Exploring Operation: 90-87=3, Resulting Numbers: [78, 29, 3]
Generated Node #0,1: 52:[78, 29, 3] Operation: 90-87=3
Exploring Operation: 90-78=12, Resulting Numbers: [87, 29, 12]
Generated Node #0,2: 52:[87, 29, 12] Operation: 90-78=12
Moving to Node #0,1
Current State: 52:[78, 29, 3], Operations: ['90-87=3']
Exploring Operation: 78/3=26, Resulting Numbers: [29, 26]
Generated Node #0,1,0: 52:[29, 26] Operation: 78/3=26
Exploring Operation: 78-29=49, Resulting Numbers: [3, 49]
Generated Node #0,1,1: 52:[3, 49] Operation: 78-29=49
Exploring Operation: 78-3=75, Resulting Numbers: [29, 75]
Generated Node #0,1,2: 52:[29, 75] Operation: 78-3=75
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[29, 26], Operations: ['90-87=3', '78/3=26']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 29+26=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 29*26=754, Resulting Numbers: [754]
754,52 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:[3, 49], Operations: ['90-87=3', '78-29=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,52 unequal: No Solution
Exploring Operation: 3*49=147, Resulting Numbers: [147]
147,52 unequal: No Solution
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[90, 78, 87, 29], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [78, 29, 3]
Generated Node #0,1: 52:[78, 29, 3] Operation: 90-87=3
Moving to Node #0,1
Current State: 52:[78, 29, 3], Operations: ['90-87=3']
Exploring Operation: 78-29=49, Resulting Numbers: [3, 49]
Generated Node #0,1,1: 52:[3, 49] Operation: 78-29=49
Moving to Node #0,1,1
Current State: 52:[3, 49], Operations: ['90-87=3', '78-29=49']
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
3,
92,
39,
67
] | 70 | [
"3*67=201",
"92+39=131",
"201-131=70"
] | Current State: 70:[3, 92, 39, 67], Operations: []
Exploring Operation: 3*67=201, Resulting Numbers: [92, 39, 201]
Generated Node #2: [92, 39, 201] from Operation: 3*67=201
Current State: 70:[92, 39, 201], Operations: ['3*67=201']
Exploring Operation: 92+39=131, Resulting Numbers: [201, 131]
Generated Node #3: [201, 131] from Operation: 92+39=131
Current State: 70:[201, 131], Operations: ['3*67=201', '92+39=131']
Exploring Operation: 201-131=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[3, 92, 39, 67], Operations: []
Exploring Operation: 92-67=25, Resulting Numbers: [3, 39, 25]
Generated Node #0,0: 70:[3, 39, 25] Operation: 92-67=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[3, 39, 25], Operations: ['92-67=25']
Exploring Operation: 39-25=14, Resulting Numbers: [3, 14]
Generated Node #0,0,0: 70:[3, 14] Operation: 39-25=14
Moving to Node #0,0,0
Current State: 70:[3, 14], Operations: ['92-67=25', '39-25=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,70 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 |
[
62,
53,
51,
25
] | 89 | [
"62+53=115",
"51-25=26",
"115-26=89"
] | Current State: 89:[62, 53, 51, 25], Operations: []
Exploring Operation: 62+53=115, Resulting Numbers: [51, 25, 115]
Generated Node #2: [51, 25, 115] from Operation: 62+53=115
Current State: 89:[51, 25, 115], Operations: ['62+53=115']
Exploring Operation: 51-25=26, Resulting Numbers: [115, 26]
Generated Node #3: [115, 26] from Operation: 51-25=26
Current State: 89:[115, 26], Operations: ['62+53=115', '51-25=26']
Exploring Operation: 115-26=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[62, 53, 51, 25], Operations: []
Exploring Operation: 62+25=87, Resulting Numbers: [53, 51, 87]
Generated Node #0,0: 89:[53, 51, 87] Operation: 62+25=87
Exploring Operation: 51+25=76, Resulting Numbers: [62, 53, 76]
Generated Node #0,1: 89:[62, 53, 76] Operation: 51+25=76
Exploring Operation: 53+25=78, Resulting Numbers: [62, 51, 78]
Generated Node #0,2: 89:[62, 51, 78] Operation: 53+25=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[53, 51, 87], Operations: ['62+25=87']
Exploring Operation: 51+87=138, Resulting Numbers: [53, 138]
Generated Node #0,0,0: 89:[53, 138] Operation: 51+87=138
Exploring Operation: 53-51=2, Resulting Numbers: [87, 2]
Generated Node #0,0,1: 89:[87, 2] Operation: 53-51=2
Exploring Operation: 53+51=104, Resulting Numbers: [87, 104]
Generated Node #0,0,2: 89:[87, 104] Operation: 53+51=104
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[87, 104], Operations: ['62+25=87', '53+51=104']
Exploring Operation: 87+104=191, Resulting Numbers: [191]
191,89 unequal: No Solution
Exploring Operation: 87*104=9048, Resulting Numbers: [9048]
9048,89 unequal: No Solution
Exploring Operation: 104-87=17, Resulting Numbers: [17]
17,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[53, 138], Operations: ['62+25=87', '51+87=138']
Exploring Operation: 53*138=7314, Resulting Numbers: [7314]
7314,89 unequal: No Solution
Exploring Operation: 53+138=191, Resulting Numbers: [191]
191,89 unequal: No Solution
Exploring Operation: 138-53=85, Resulting Numbers: [85]
85,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[87, 2], Operations: ['62+25=87', '53-51=2']
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,89 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,89 unequal: No Solution
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[62, 53, 51, 25], Operations: []
Exploring Operation: 62+25=87, Resulting Numbers: [53, 51, 87]
Generated Node #0,0: 89:[53, 51, 87] Operation: 62+25=87
Moving to Node #0,0
Current State: 89:[53, 51, 87], Operations: ['62+25=87']
Exploring Operation: 53-51=2, Resulting Numbers: [87, 2]
Generated Node #0,0,1: 89:[87, 2] Operation: 53-51=2
Moving to Node #0,0,1
Current State: 89:[87, 2], Operations: ['62+25=87', '53-51=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
18,
3,
60,
66
] | 92 | [
"18+60=78",
"78/3=26",
"66+26=92"
] | Current State: 92:[18, 3, 60, 66], Operations: []
Exploring Operation: 18+60=78, Resulting Numbers: [3, 66, 78]
Generated Node #2: [3, 66, 78] from Operation: 18+60=78
Current State: 92:[3, 66, 78], Operations: ['18+60=78']
Exploring Operation: 78/3=26, Resulting Numbers: [66, 26]
Generated Node #3: [66, 26] from Operation: 78/3=26
Current State: 92:[66, 26], Operations: ['18+60=78', '78/3=26']
Exploring Operation: 66+26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[18, 3, 60, 66], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [18, 3, 6]
Generated Node #0,0: 92:[18, 3, 6] Operation: 66-60=6
Exploring Operation: 66-18=48, Resulting Numbers: [3, 60, 48]
Generated Node #0,1: 92:[3, 60, 48] Operation: 66-18=48
Exploring Operation: 66/3=22, Resulting Numbers: [18, 60, 22]
Generated Node #0,2: 92:[18, 60, 22] Operation: 66/3=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[18, 3, 6], Operations: ['66-60=6']
Exploring Operation: 18+3=21, Resulting Numbers: [6, 21]
Generated Node #0,0,0: 92:[6, 21] Operation: 18+3=21
Exploring Operation: 18+6=24, Resulting Numbers: [3, 24]
Generated Node #0,0,1: 92:[3, 24] Operation: 18+6=24
Exploring Operation: 18/6=3, Resulting Numbers: [3, 3]
Generated Node #0,0,2: 92:[3, 3] Operation: 18/6=3
Moving to Node #0,0,1
Current State: 92:[3, 24], Operations: ['66-60=6', '18+6=24']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,92 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[3, 3], Operations: ['66-60=6', '18/6=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[6, 21], Operations: ['66-60=6', '18+3=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[3, 60, 48], Operations: ['66-18=48']
Exploring Operation: 60-48=12, Resulting Numbers: [3, 12]
Generated Node #0,1,0: 92:[3, 12] Operation: 60-48=12
Exploring Operation: 60-3=57, Resulting Numbers: [48, 57]
Generated Node #0,1,1: 92:[48, 57] Operation: 60-3=57
Exploring Operation: 60/3=20, Resulting Numbers: [48, 20]
Generated Node #0,1,2: 92:[48, 20] Operation: 60/3=20
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[48, 20], Operations: ['66-18=48', '60/3=20']
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,92 unequal: No Solution
No 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: 92:[3, 12], Operations: ['66-18=48', '60-48=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,92 unequal: No Solution
No 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: 92:[48, 57], Operations: ['66-18=48', '60-3=57']
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 48*57=2736, Resulting Numbers: [2736]
2736,92 unequal: No Solution
Exploring Operation: 48+57=105, Resulting Numbers: [105]
105,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[18, 60, 22], Operations: ['66/3=22']
Exploring Operation: 60-22=38, Resulting Numbers: [18, 38]
Generated Node #0,2,0: 92:[18, 38] Operation: 60-22=38
Exploring Operation: 22-18=4, Resulting Numbers: [60, 4]
Generated Node #0,2,1: 92:[60, 4] Operation: 22-18=4
Exploring Operation: 60-18=42, Resulting Numbers: [22, 42]
Generated Node #0,2,2: 92:[22, 42] Operation: 60-18=42
Moving to Node #0,2,2
Current State: 92:[22, 42], Operations: ['66/3=22', '60-18=42']
Exploring Operation: 22*42=924, Resulting Numbers: [924]
924,92 unequal: No Solution
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[18, 38], Operations: ['66/3=22', '60-22=38']
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,92 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,92 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[60, 4], Operations: ['66/3=22', '22-18=4']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,92 unequal: No Solution
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,92 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 |
[
44,
17,
11,
47
] | 97 | [
"44+17=61",
"47-11=36",
"61+36=97"
] | Current State: 97:[44, 17, 11, 47], Operations: []
Exploring Operation: 44+17=61, Resulting Numbers: [11, 47, 61]
Generated Node #2: [11, 47, 61] from Operation: 44+17=61
Current State: 97:[11, 47, 61], Operations: ['44+17=61']
Exploring Operation: 47-11=36, Resulting Numbers: [61, 36]
Generated Node #3: [61, 36] from Operation: 47-11=36
Current State: 97:[61, 36], Operations: ['44+17=61', '47-11=36']
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[44, 17, 11, 47], Operations: []
Exploring Operation: 44+17=61, Resulting Numbers: [11, 47, 61]
Generated Node #0,0: 97:[11, 47, 61] Operation: 44+17=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[11, 47, 61], Operations: ['44+17=61']
Exploring Operation: 11+47=58, Resulting Numbers: [61, 58]
Generated Node #0,0,0: 97:[61, 58] Operation: 11+47=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[61, 58], Operations: ['44+17=61', '11+47=58']
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
83,
45,
25,
93
] | 10 | [
"83+45=128",
"25+93=118",
"128-118=10"
] | Current State: 10:[83, 45, 25, 93], Operations: []
Exploring Operation: 83+45=128, Resulting Numbers: [25, 93, 128]
Generated Node #2: [25, 93, 128] from Operation: 83+45=128
Current State: 10:[25, 93, 128], Operations: ['83+45=128']
Exploring Operation: 25+93=118, Resulting Numbers: [128, 118]
Generated Node #3: [128, 118] from Operation: 25+93=118
Current State: 10:[128, 118], Operations: ['83+45=128', '25+93=118']
Exploring Operation: 128-118=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[83, 45, 25, 93], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [45, 25, 10]
Generated Node #0,0: 10:[45, 25, 10] Operation: 93-83=10
Exploring Operation: 83-45=38, Resulting Numbers: [25, 93, 38]
Generated Node #0,1: 10:[25, 93, 38] Operation: 83-45=38
Moving to Node #0,0
Current State: 10:[45, 25, 10], Operations: ['93-83=10']
Exploring Operation: 45-10=35, Resulting Numbers: [25, 35]
Generated Node #0,0,0: 10:[25, 35] Operation: 45-10=35
Exploring Operation: 45-25=20, Resulting Numbers: [10, 20]
Generated Node #0,0,1: 10:[10, 20] Operation: 45-25=20
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[10, 20], Operations: ['93-83=10', '45-25=20']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[83, 45, 25, 93], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [45, 25, 10]
Generated Node #0,0: 10:[45, 25, 10] Operation: 93-83=10
Moving to Node #0,0
Current State: 10:[45, 25, 10], Operations: ['93-83=10']
Exploring Operation: 45-25=20, Resulting Numbers: [10, 20]
Generated Node #0,0,1: 10:[10, 20] Operation: 45-25=20
Moving to Node #0,0,1
Current State: 10:[10, 20], Operations: ['93-83=10', '45-25=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
61,
18,
1,
66
] | 24 | [
"61-18=43",
"1+66=67",
"67-43=24"
] | Current State: 24:[61, 18, 1, 66], Operations: []
Exploring Operation: 61-18=43, Resulting Numbers: [1, 66, 43]
Generated Node #2: [1, 66, 43] from Operation: 61-18=43
Current State: 24:[1, 66, 43], Operations: ['61-18=43']
Exploring Operation: 1+66=67, Resulting Numbers: [43, 67]
Generated Node #3: [43, 67] from Operation: 1+66=67
Current State: 24:[43, 67], Operations: ['61-18=43', '1+66=67']
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[61, 18, 1, 66], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [18, 1, 5]
Generated Node #0,0: 24:[18, 1, 5] Operation: 66-61=5
Exploring Operation: 61-18=43, Resulting Numbers: [1, 66, 43]
Generated Node #0,1: 24:[1, 66, 43] Operation: 61-18=43
Moving to Node #0,0
Current State: 24:[18, 1, 5], Operations: ['66-61=5']
Exploring Operation: 18-5=13, Resulting Numbers: [1, 13]
Generated Node #0,0,0: 24:[1, 13] Operation: 18-5=13
Exploring Operation: 18+5=23, Resulting Numbers: [1, 23]
Generated Node #0,0,1: 24:[1, 23] Operation: 18+5=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[1, 13], Operations: ['66-61=5', '18-5=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[1, 23], Operations: ['66-61=5', '18+5=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[61, 18, 1, 66], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [18, 1, 5]
Generated Node #0,0: 24:[18, 1, 5] Operation: 66-61=5
Moving to Node #0,0
Current State: 24:[18, 1, 5], Operations: ['66-61=5']
Exploring Operation: 18+5=23, Resulting Numbers: [1, 23]
Generated Node #0,0,1: 24:[1, 23] Operation: 18+5=23
Moving to Node #0,0,1
Current State: 24:[1, 23], Operations: ['66-61=5', '18+5=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
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