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 |
|---|---|---|---|---|---|---|---|---|
[
29,
61,
21,
85
] | 74 | [
"61-29=32",
"21+85=106",
"106-32=74"
] | Current State: 74:[29, 61, 21, 85], Operations: []
Exploring Operation: 61-29=32, Resulting Numbers: [21, 85, 32]
Generated Node #2: [21, 85, 32] from Operation: 61-29=32
Current State: 74:[21, 85, 32], Operations: ['61-29=32']
Exploring Operation: 21+85=106, Resulting Numbers: [32, 106]
Generated Node #3: [32, 106] from Operation: 21+85=106
Current State: 74:[32, 106], Operations: ['61-29=32', '21+85=106']
Exploring Operation: 106-32=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[29, 61, 21, 85], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [61, 85, 8]
Generated Node #0,0: 74:[61, 85, 8] Operation: 29-21=8
Exploring Operation: 61-21=40, Resulting Numbers: [29, 85, 40]
Generated Node #0,1: 74:[29, 85, 40] Operation: 61-21=40
Exploring Operation: 61+21=82, Resulting Numbers: [29, 85, 82]
Generated Node #0,2: 74:[29, 85, 82] Operation: 61+21=82
Exploring Operation: 85-21=64, Resulting Numbers: [29, 61, 64]
Generated Node #0,3: 74:[29, 61, 64] Operation: 85-21=64
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[29, 85, 40], Operations: ['61-21=40']
Exploring Operation: 85-29=56, Resulting Numbers: [40, 56]
Generated Node #0,1,0: 74:[40, 56] Operation: 85-29=56
Exploring Operation: 85-40=45, Resulting Numbers: [29, 45]
Generated Node #0,1,1: 74:[29, 45] Operation: 85-40=45
Exploring Operation: 40-29=11, Resulting Numbers: [85, 11]
Generated Node #0,1,2: 74:[85, 11] Operation: 40-29=11
Exploring Operation: 29+40=69, Resulting Numbers: [85, 69]
Generated Node #0,1,3: 74:[85, 69] Operation: 29+40=69
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[29, 45], Operations: ['61-21=40', '85-40=45']
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[29, 61, 21, 85], Operations: []
Exploring Operation: 61-21=40, Resulting Numbers: [29, 85, 40]
Generated Node #0,1: 74:[29, 85, 40] Operation: 61-21=40
Moving to Node #0,1
Current State: 74:[29, 85, 40], Operations: ['61-21=40']
Exploring Operation: 85-40=45, Resulting Numbers: [29, 45]
Generated Node #0,1,1: 74:[29, 45] Operation: 85-40=45
Moving to Node #0,1,1
Current State: 74:[29, 45], Operations: ['61-21=40', '85-40=45']
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
81,
48,
1,
18
] | 50 | [
"81-48=33",
"18-1=17",
"33+17=50"
] | Current State: 50:[81, 48, 1, 18], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [1, 18, 33]
Generated Node #2: [1, 18, 33] from Operation: 81-48=33
Current State: 50:[1, 18, 33], Operations: ['81-48=33']
Exploring Operation: 18-1=17, Resulting Numbers: [33, 17]
Generated Node #3: [33, 17] from Operation: 18-1=17
Current State: 50:[33, 17], Operations: ['81-48=33', '18-1=17']
Exploring Operation: 33+17=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[81, 48, 1, 18], Operations: []
Exploring Operation: 48+1=49, Resulting Numbers: [81, 18, 49]
Generated Node #0,0: 50:[81, 18, 49] Operation: 48+1=49
Exploring Operation: 81-48=33, Resulting Numbers: [1, 18, 33]
Generated Node #0,1: 50:[1, 18, 33] Operation: 81-48=33
Exploring Operation: 81-1=80, Resulting Numbers: [48, 18, 80]
Generated Node #0,2: 50:[48, 18, 80] Operation: 81-1=80
Exploring Operation: 48-18=30, Resulting Numbers: [81, 1, 30]
Generated Node #0,3: 50:[81, 1, 30] Operation: 48-18=30
Exploring Operation: 81-18=63, Resulting Numbers: [48, 1, 63]
Generated Node #0,4: 50:[48, 1, 63] Operation: 81-18=63
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[1, 18, 33], Operations: ['81-48=33']
Exploring Operation: 18+33=51, Resulting Numbers: [1, 51]
Generated Node #0,1,0: 50:[1, 51] Operation: 18+33=51
Exploring Operation: 1*18=18, Resulting Numbers: [33, 18]
Generated Node #0,1,1: 50:[33, 18] Operation: 1*18=18
Exploring Operation: 1+18=19, Resulting Numbers: [33, 19]
Generated Node #0,1,2: 50:[33, 19] Operation: 1+18=19
Exploring Operation: 33-18=15, Resulting Numbers: [1, 15]
Generated Node #0,1,3: 50:[1, 15] Operation: 33-18=15
Exploring Operation: 33-1=32, Resulting Numbers: [18, 32]
Generated Node #0,1,4: 50:[18, 32] Operation: 33-1=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[1, 51], Operations: ['81-48=33', '18+33=51']
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[81, 48, 1, 18], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [1, 18, 33]
Generated Node #0,1: 50:[1, 18, 33] Operation: 81-48=33
Moving to Node #0,1
Current State: 50:[1, 18, 33], Operations: ['81-48=33']
Exploring Operation: 18+33=51, Resulting Numbers: [1, 51]
Generated Node #0,1,0: 50:[1, 51] Operation: 18+33=51
Moving to Node #0,1,0
Current State: 50:[1, 51], Operations: ['81-48=33', '18+33=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
2,
30,
53,
40
] | 65 | [
"30-2=28",
"53+40=93",
"93-28=65"
] | Current State: 65:[2, 30, 53, 40], Operations: []
Exploring Operation: 30-2=28, Resulting Numbers: [53, 40, 28]
Generated Node #2: [53, 40, 28] from Operation: 30-2=28
Current State: 65:[53, 40, 28], Operations: ['30-2=28']
Exploring Operation: 53+40=93, Resulting Numbers: [28, 93]
Generated Node #3: [28, 93] from Operation: 53+40=93
Current State: 65:[28, 93], Operations: ['30-2=28', '53+40=93']
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[2, 30, 53, 40], Operations: []
Exploring Operation: 30+40=70, Resulting Numbers: [2, 53, 70]
Generated Node #0,0: 65:[2, 53, 70] Operation: 30+40=70
Exploring Operation: 53-40=13, Resulting Numbers: [2, 30, 13]
Generated Node #0,1: 65:[2, 30, 13] Operation: 53-40=13
Exploring Operation: 40/2=20, Resulting Numbers: [30, 53, 20]
Generated Node #0,2: 65:[30, 53, 20] Operation: 40/2=20
Exploring Operation: 40-30=10, Resulting Numbers: [2, 53, 10]
Generated Node #0,3: 65:[2, 53, 10] Operation: 40-30=10
Moving to Node #0,3
Current State: 65:[2, 53, 10], Operations: ['40-30=10']
Exploring Operation: 53+10=63, Resulting Numbers: [2, 63]
Generated Node #0,3,0: 65:[2, 63] Operation: 53+10=63
Exploring Operation: 2+53=55, Resulting Numbers: [10, 55]
Generated Node #0,3,1: 65:[10, 55] Operation: 2+53=55
Exploring Operation: 10/2=5, Resulting Numbers: [53, 5]
Generated Node #0,3,2: 65:[53, 5] Operation: 10/2=5
Exploring Operation: 2+10=12, Resulting Numbers: [53, 12]
Generated Node #0,3,3: 65:[53, 12] Operation: 2+10=12
Moving to Node #0,1
Current State: 65:[2, 30, 13], Operations: ['53-40=13']
Exploring Operation: 2*30=60, Resulting Numbers: [13, 60]
Generated Node #0,1,0: 65:[13, 60] Operation: 2*30=60
Exploring Operation: 30-13=17, Resulting Numbers: [2, 17]
Generated Node #0,1,1: 65:[2, 17] Operation: 30-13=17
Exploring Operation: 30/2=15, Resulting Numbers: [13, 15]
Generated Node #0,1,2: 65:[13, 15] Operation: 30/2=15
Exploring Operation: 30-2=28, Resulting Numbers: [13, 28]
Generated Node #0,1,3: 65:[13, 28] Operation: 30-2=28
Moving to Node #0,0
Current State: 65:[2, 53, 70], Operations: ['30+40=70']
Exploring Operation: 2+53=55, Resulting Numbers: [70, 55]
Generated Node #0,0,0: 65:[70, 55] Operation: 2+53=55
Exploring Operation: 53-2=51, Resulting Numbers: [70, 51]
Generated Node #0,0,1: 65:[70, 51] Operation: 53-2=51
Exploring Operation: 70-2=68, Resulting Numbers: [53, 68]
Generated Node #0,0,2: 65:[53, 68] Operation: 70-2=68
Exploring Operation: 70-53=17, Resulting Numbers: [2, 17]
Generated Node #0,0,3: 65:[2, 17] Operation: 70-53=17
Moving to Node #0,2
Current State: 65:[30, 53, 20], Operations: ['40/2=20']
Exploring Operation: 30-20=10, Resulting Numbers: [53, 10]
Generated Node #0,2,0: 65:[53, 10] Operation: 30-20=10
Exploring Operation: 53+20=73, Resulting Numbers: [30, 73]
Generated Node #0,2,1: 65:[30, 73] Operation: 53+20=73
Exploring Operation: 30+53=83, Resulting Numbers: [20, 83]
Generated Node #0,2,2: 65:[20, 83] Operation: 30+53=83
Exploring Operation: 53-30=23, Resulting Numbers: [20, 23]
Generated Node #0,2,3: 65:[20, 23] Operation: 53-30=23
Moving to Node #0,1,2
Current State: 65:[13, 15], Operations: ['53-40=13', '30/2=15']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,65 unequal: No Solution
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[13, 60], Operations: ['53-40=13', '2*30=60']
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 13*60=780, Resulting Numbers: [780]
780,65 unequal: No Solution
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[2, 63], Operations: ['40-30=10', '53+10=63']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,65 unequal: No Solution
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[2, 30, 53, 40], Operations: []
Exploring Operation: 40-30=10, Resulting Numbers: [2, 53, 10]
Generated Node #0,3: 65:[2, 53, 10] Operation: 40-30=10
Moving to Node #0,3
Current State: 65:[2, 53, 10], Operations: ['40-30=10']
Exploring Operation: 53+10=63, Resulting Numbers: [2, 63]
Generated Node #0,3,0: 65:[2, 63] Operation: 53+10=63
Moving to Node #0,3,0
Current State: 65:[2, 63], Operations: ['40-30=10', '53+10=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.972222 | hs_4 | sum_heuristic |
[
63,
54,
28,
22
] | 67 | [
"63+54=117",
"28+22=50",
"117-50=67"
] | Current State: 67:[63, 54, 28, 22], Operations: []
Exploring Operation: 63+54=117, Resulting Numbers: [28, 22, 117]
Generated Node #2: [28, 22, 117] from Operation: 63+54=117
Current State: 67:[28, 22, 117], Operations: ['63+54=117']
Exploring Operation: 28+22=50, Resulting Numbers: [117, 50]
Generated Node #3: [117, 50] from Operation: 28+22=50
Current State: 67:[117, 50], Operations: ['63+54=117', '28+22=50']
Exploring Operation: 117-50=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[63, 54, 28, 22], Operations: []
Exploring Operation: 63+22=85, Resulting Numbers: [54, 28, 85]
Generated Node #0,0: 67:[54, 28, 85] Operation: 63+22=85
Exploring Operation: 54+28=82, Resulting Numbers: [63, 22, 82]
Generated Node #0,1: 67:[63, 22, 82] Operation: 54+28=82
Exploring Operation: 54+22=76, Resulting Numbers: [63, 28, 76]
Generated Node #0,2: 67:[63, 28, 76] Operation: 54+22=76
Exploring Operation: 28+22=50, Resulting Numbers: [63, 54, 50]
Generated Node #0,3: 67:[63, 54, 50] Operation: 28+22=50
Exploring Operation: 63-22=41, Resulting Numbers: [54, 28, 41]
Generated Node #0,4: 67:[54, 28, 41] Operation: 63-22=41
Moving to Node #0,3
Current State: 67:[63, 54, 50], Operations: ['28+22=50']
Exploring Operation: 63+50=113, Resulting Numbers: [54, 113]
Generated Node #0,3,0: 67:[54, 113] Operation: 63+50=113
Exploring Operation: 63-50=13, Resulting Numbers: [54, 13]
Generated Node #0,3,1: 67:[54, 13] Operation: 63-50=13
Exploring Operation: 54+50=104, Resulting Numbers: [63, 104]
Generated Node #0,3,2: 67:[63, 104] Operation: 54+50=104
Exploring Operation: 63+54=117, Resulting Numbers: [50, 117]
Generated Node #0,3,3: 67:[50, 117] Operation: 63+54=117
Exploring Operation: 54-50=4, Resulting Numbers: [63, 4]
Generated Node #0,3,4: 67:[63, 4] Operation: 54-50=4
Moving to Node #0,2
Current State: 67:[63, 28, 76], Operations: ['54+22=76']
Exploring Operation: 76-28=48, Resulting Numbers: [63, 48]
Generated Node #0,2,0: 67:[63, 48] Operation: 76-28=48
Exploring Operation: 76-63=13, Resulting Numbers: [28, 13]
Generated Node #0,2,1: 67:[28, 13] Operation: 76-63=13
Exploring Operation: 63+28=91, Resulting Numbers: [76, 91]
Generated Node #0,2,2: 67:[76, 91] Operation: 63+28=91
Exploring Operation: 28+76=104, Resulting Numbers: [63, 104]
Generated Node #0,2,3: 67:[63, 104] Operation: 28+76=104
Exploring Operation: 63-28=35, Resulting Numbers: [76, 35]
Generated Node #0,2,4: 67:[76, 35] Operation: 63-28=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 67:[63, 48], Operations: ['54+22=76', '76-28=48']
Exploring Operation: 63+48=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,67 unequal: No Solution
Exploring Operation: 63*48=3024, Resulting Numbers: [3024]
3024,67 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 #0,2,2
Current State: 67:[76, 91], Operations: ['54+22=76', '63+28=91']
Exploring Operation: 91-76=15, Resulting Numbers: [15]
15,67 unequal: No Solution
Exploring Operation: 76*91=6916, Resulting Numbers: [6916]
6916,67 unequal: No Solution
Exploring Operation: 76+91=167, Resulting Numbers: [167]
167,67 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 #0,2,3
Current State: 67:[63, 104], Operations: ['54+22=76', '28+76=104']
Exploring Operation: 63+104=167, Resulting Numbers: [167]
167,67 unequal: No Solution
Exploring Operation: 63*104=6552, Resulting Numbers: [6552]
6552,67 unequal: No Solution
Exploring Operation: 104-63=41, Resulting Numbers: [41]
41,67 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 #0,2,4
Current State: 67:[76, 35], Operations: ['54+22=76', '63-28=35']
Exploring Operation: 76*35=2660, Resulting Numbers: [2660]
2660,67 unequal: No Solution
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 76+35=111, Resulting Numbers: [111]
111,67 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 #0,2,1
Current State: 67:[28, 13], Operations: ['54+22=76', '76-63=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,67 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,67 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:[63, 22, 82], Operations: ['54+28=82']
Exploring Operation: 82-22=60, Resulting Numbers: [63, 60]
Generated Node #0,1,0: 67:[63, 60] Operation: 82-22=60
Exploring Operation: 63+22=85, Resulting Numbers: [82, 85]
Generated Node #0,1,1: 67:[82, 85] Operation: 63+22=85
Exploring Operation: 22+82=104, Resulting Numbers: [63, 104]
Generated Node #0,1,2: 67:[63, 104] Operation: 22+82=104
Exploring Operation: 63-22=41, Resulting Numbers: [82, 41]
Generated Node #0,1,3: 67:[82, 41] Operation: 63-22=41
Exploring Operation: 82-63=19, Resulting Numbers: [22, 19]
Generated Node #0,1,4: 67:[22, 19] Operation: 82-63=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[63, 60], Operations: ['54+28=82', '82-22=60']
Exploring Operation: 63+60=123, Resulting Numbers: [123]
123,67 unequal: No Solution
Exploring Operation: 63*60=3780, Resulting Numbers: [3780]
3780,67 unequal: No Solution
Exploring Operation: 63-60=3, Resulting Numbers: [3]
3,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[82, 85], Operations: ['54+28=82', '63+22=85']
Exploring Operation: 82+85=167, Resulting Numbers: [167]
167,67 unequal: No Solution
Exploring Operation: 82*85=6970, Resulting Numbers: [6970]
6970,67 unequal: No Solution
Exploring Operation: 85-82=3, Resulting Numbers: [3]
3,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 67:[63, 104], Operations: ['54+28=82', '22+82=104']
Exploring Operation: 63*104=6552, Resulting Numbers: [6552]
6552,67 unequal: No Solution
Exploring Operation: 104-63=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 63+104=167, Resulting Numbers: [167]
167,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 67:[82, 41], Operations: ['54+28=82', '63-22=41']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 82/41=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 82+41=123, Resulting Numbers: [123]
123,67 unequal: No Solution
Exploring Operation: 82*41=3362, Resulting Numbers: [3362]
3362,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 67:[22, 19], Operations: ['54+28=82', '82-63=19']
Exploring Operation: 22+19=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 22*19=418, Resulting Numbers: [418]
418,67 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: 67:[54, 28, 85], Operations: ['63+22=85']
Exploring Operation: 54-28=26, Resulting Numbers: [85, 26]
Generated Node #0,0,0: 67:[85, 26] Operation: 54-28=26
Exploring Operation: 85-28=57, Resulting Numbers: [54, 57]
Generated Node #0,0,1: 67:[54, 57] Operation: 85-28=57
Exploring Operation: 85-54=31, Resulting Numbers: [28, 31]
Generated Node #0,0,2: 67:[28, 31] Operation: 85-54=31
Exploring Operation: 54+28=82, Resulting Numbers: [85, 82]
Generated Node #0,0,3: 67:[85, 82] Operation: 54+28=82
Exploring Operation: 28+85=113, Resulting Numbers: [54, 113]
Generated Node #0,0,4: 67:[54, 113] Operation: 28+85=113
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[54, 57], Operations: ['63+22=85', '85-28=57']
Exploring Operation: 54*57=3078, Resulting Numbers: [3078]
3078,67 unequal: No Solution
Exploring Operation: 54+57=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,67 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 #0,0,3
Current State: 67:[85, 82], Operations: ['63+22=85', '54+28=82']
Exploring Operation: 85*82=6970, Resulting Numbers: [6970]
6970,67 unequal: No Solution
Exploring Operation: 85-82=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 85+82=167, Resulting Numbers: [167]
167,67 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:[85, 26], Operations: ['63+22=85', '54-28=26']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,67 unequal: No Solution
Exploring Operation: 85*26=2210, Resulting Numbers: [2210]
2210,67 unequal: No Solution
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,67 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 #0,0,4
Current State: 67:[54, 113], Operations: ['63+22=85', '28+85=113']
Exploring Operation: 54*113=6102, Resulting Numbers: [6102]
6102,67 unequal: No Solution
Exploring Operation: 54+113=167, Resulting Numbers: [167]
167,67 unequal: No Solution
Exploring Operation: 113-54=59, Resulting Numbers: [59]
59,67 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 #0,0,2
Current State: 67:[28, 31], Operations: ['63+22=85', '85-54=31']
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,67 unequal: No Solution
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,67 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: 67:[54, 28, 41], Operations: ['63-22=41']
Exploring Operation: 41-28=13, Resulting Numbers: [54, 13]
Generated Node #0,4,0: 67:[54, 13] Operation: 41-28=13
Exploring Operation: 54+41=95, Resulting Numbers: [28, 95]
Generated Node #0,4,1: 67:[28, 95] Operation: 54+41=95
Exploring Operation: 54-28=26, Resulting Numbers: [41, 26]
Generated Node #0,4,2: 67:[41, 26] Operation: 54-28=26
Exploring Operation: 28+41=69, Resulting Numbers: [54, 69]
Generated Node #0,4,3: 67:[54, 69] Operation: 28+41=69
Exploring Operation: 54+28=82, Resulting Numbers: [41, 82]
Generated Node #0,4,4: 67:[41, 82] Operation: 54+28=82
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 67:[54, 69], Operations: ['63-22=41', '28+41=69']
Exploring Operation: 54+69=123, Resulting Numbers: [123]
123,67 unequal: No Solution
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,67 unequal: No Solution
Exploring Operation: 54*69=3726, Resulting Numbers: [3726]
3726,67 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 #0,4,4
Current State: 67:[41, 82], Operations: ['63-22=41', '54+28=82']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 82/41=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 41+82=123, Resulting Numbers: [123]
123,67 unequal: No Solution
Exploring Operation: 41*82=3362, Resulting Numbers: [3362]
3362,67 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 #0,4,0
Current State: 67:[54, 13], Operations: ['63-22=41', '41-28=13']
Exploring Operation: 54*13=702, Resulting Numbers: [702]
702,67 unequal: No Solution
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[63, 54, 28, 22], Operations: []
Exploring Operation: 63-22=41, Resulting Numbers: [54, 28, 41]
Generated Node #0,4: 67:[54, 28, 41] Operation: 63-22=41
Moving to Node #0,4
Current State: 67:[54, 28, 41], Operations: ['63-22=41']
Exploring Operation: 41-28=13, Resulting Numbers: [54, 13]
Generated Node #0,4,0: 67:[54, 13] Operation: 41-28=13
Moving to Node #0,4,0
Current State: 67:[54, 13], Operations: ['63-22=41', '41-28=13']
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.922743 | hs_5 | sum_heuristic |
[
65,
63,
25,
15
] | 69 | [
"65+25=90",
"90/15=6",
"63+6=69"
] | Current State: 69:[65, 63, 25, 15], Operations: []
Exploring Operation: 65+25=90, Resulting Numbers: [63, 15, 90]
Generated Node #2: [63, 15, 90] from Operation: 65+25=90
Current State: 69:[63, 15, 90], Operations: ['65+25=90']
Exploring Operation: 90/15=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 90/15=6
Current State: 69:[63, 6], Operations: ['65+25=90', '90/15=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[65, 63, 25, 15], Operations: []
Exploring Operation: 65+15=80, Resulting Numbers: [63, 25, 80]
Generated Node #0,0: 69:[63, 25, 80] Operation: 65+15=80
Exploring Operation: 25-15=10, Resulting Numbers: [65, 63, 10]
Generated Node #0,1: 69:[65, 63, 10] Operation: 25-15=10
Exploring Operation: 65-63=2, Resulting Numbers: [25, 15, 2]
Generated Node #0,2: 69:[25, 15, 2] Operation: 65-63=2
Exploring Operation: 65-15=50, Resulting Numbers: [63, 25, 50]
Generated Node #0,3: 69:[63, 25, 50] Operation: 65-15=50
Exploring Operation: 63+15=78, Resulting Numbers: [65, 25, 78]
Generated Node #0,4: 69:[65, 25, 78] Operation: 63+15=78
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[25, 15, 2], Operations: ['65-63=2']
Exploring Operation: 25-2=23, Resulting Numbers: [15, 23]
Generated Node #0,2,0: 69:[15, 23] Operation: 25-2=23
Exploring Operation: 25+2=27, Resulting Numbers: [15, 27]
Generated Node #0,2,1: 69:[15, 27] Operation: 25+2=27
Exploring Operation: 15*2=30, Resulting Numbers: [25, 30]
Generated Node #0,2,2: 69:[25, 30] Operation: 15*2=30
Exploring Operation: 25-15=10, Resulting Numbers: [2, 10]
Generated Node #0,2,3: 69:[2, 10] Operation: 25-15=10
Exploring Operation: 15+2=17, Resulting Numbers: [25, 17]
Generated Node #0,2,4: 69:[25, 17] Operation: 15+2=17
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[15, 23], Operations: ['65-63=2', '25-2=23']
Exploring Operation: 15+23=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 15*23=345, Resulting Numbers: [345]
345,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 69:[2, 10], Operations: ['65-63=2', '25-15=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 69:[25, 17], Operations: ['65-63=2', '15+2=17']
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,69 unequal: No Solution
Exploring Operation: 25*17=425, Resulting Numbers: [425]
425,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 69:[25, 30], Operations: ['65-63=2', '15*2=30']
Exploring Operation: 25*30=750, Resulting Numbers: [750]
750,69 unequal: No Solution
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[15, 27], Operations: ['65-63=2', '25+2=27']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 15*27=405, Resulting Numbers: [405]
405,69 unequal: No Solution
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 69:[65, 25, 78], Operations: ['63+15=78']
Exploring Operation: 65-25=40, Resulting Numbers: [78, 40]
Generated Node #0,4,0: 69:[78, 40] Operation: 65-25=40
Exploring Operation: 25+78=103, Resulting Numbers: [65, 103]
Generated Node #0,4,1: 69:[65, 103] Operation: 25+78=103
Exploring Operation: 78-25=53, Resulting Numbers: [65, 53]
Generated Node #0,4,2: 69:[65, 53] Operation: 78-25=53
Exploring Operation: 78-65=13, Resulting Numbers: [25, 13]
Generated Node #0,4,3: 69:[25, 13] Operation: 78-65=13
Exploring Operation: 65+25=90, Resulting Numbers: [78, 90]
Generated Node #0,4,4: 69:[78, 90] Operation: 65+25=90
Moving to Node #0,4,3
Current State: 69:[25, 13], Operations: ['63+15=78', '78-65=13']
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,69 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Moving to Node #0,4,2
Current State: 69:[65, 53], Operations: ['63+15=78', '78-25=53']
Exploring Operation: 65+53=118, Resulting Numbers: [118]
118,69 unequal: No Solution
Exploring Operation: 65*53=3445, Resulting Numbers: [3445]
3445,69 unequal: No Solution
Exploring Operation: 65-53=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Moving to Node #0,4,0
Current State: 69:[78, 40], Operations: ['63+15=78', '65-25=40']
Exploring Operation: 78+40=118, Resulting Numbers: [118]
118,69 unequal: No Solution
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 78*40=3120, Resulting Numbers: [3120]
3120,69 unequal: No Solution
Moving to Node #0,4,4
Current State: 69:[78, 90], Operations: ['63+15=78', '65+25=90']
Exploring Operation: 78+90=168, Resulting Numbers: [168]
168,69 unequal: No Solution
Exploring Operation: 78*90=7020, Resulting Numbers: [7020]
7020,69 unequal: No Solution
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Moving to Node #0,4,1
Current State: 69:[65, 103], Operations: ['63+15=78', '25+78=103']
Exploring Operation: 65+103=168, Resulting Numbers: [168]
168,69 unequal: No Solution
Exploring Operation: 65*103=6695, Resulting Numbers: [6695]
6695,69 unequal: No Solution
Exploring Operation: 103-65=38, Resulting Numbers: [38]
38,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[65, 63, 10], Operations: ['25-15=10']
Exploring Operation: 63+10=73, Resulting Numbers: [65, 73]
Generated Node #0,1,0: 69:[65, 73] Operation: 63+10=73
Exploring Operation: 65-10=55, Resulting Numbers: [63, 55]
Generated Node #0,1,1: 69:[63, 55] Operation: 65-10=55
Exploring Operation: 63-10=53, Resulting Numbers: [65, 53]
Generated Node #0,1,2: 69:[65, 53] Operation: 63-10=53
Exploring Operation: 65-63=2, Resulting Numbers: [10, 2]
Generated Node #0,1,3: 69:[10, 2] Operation: 65-63=2
Exploring Operation: 65+10=75, Resulting Numbers: [63, 75]
Generated Node #0,1,4: 69:[63, 75] Operation: 65+10=75
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 69:[65, 73], Operations: ['25-15=10', '63+10=73']
Exploring Operation: 73-65=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 65+73=138, Resulting Numbers: [138]
138,69 unequal: No Solution
Exploring Operation: 65*73=4745, Resulting Numbers: [4745]
4745,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 69:[10, 2], Operations: ['25-15=10', '65-63=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 69:[63, 75], Operations: ['25-15=10', '65+10=75']
Exploring Operation: 63*75=4725, Resulting Numbers: [4725]
4725,69 unequal: No Solution
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 63+75=138, Resulting Numbers: [138]
138,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 69:[63, 55], Operations: ['25-15=10', '65-10=55']
Exploring Operation: 63*55=3465, Resulting Numbers: [3465]
3465,69 unequal: No Solution
Exploring Operation: 63+55=118, Resulting Numbers: [118]
118,69 unequal: No Solution
Exploring Operation: 63-55=8, Resulting Numbers: [8]
8,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 69:[65, 53], Operations: ['25-15=10', '63-10=53']
Exploring Operation: 65-53=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 65+53=118, Resulting Numbers: [118]
118,69 unequal: No Solution
Exploring Operation: 65*53=3445, Resulting Numbers: [3445]
3445,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[63, 25, 80], Operations: ['65+15=80']
Exploring Operation: 63-25=38, Resulting Numbers: [80, 38]
Generated Node #0,0,0: 69:[80, 38] Operation: 63-25=38
Exploring Operation: 80-63=17, Resulting Numbers: [25, 17]
Generated Node #0,0,1: 69:[25, 17] Operation: 80-63=17
Exploring Operation: 80-25=55, Resulting Numbers: [63, 55]
Generated Node #0,0,2: 69:[63, 55] Operation: 80-25=55
Exploring Operation: 63+25=88, Resulting Numbers: [80, 88]
Generated Node #0,0,3: 69:[80, 88] Operation: 63+25=88
Exploring Operation: 25+80=105, Resulting Numbers: [63, 105]
Generated Node #0,0,4: 69:[63, 105] Operation: 25+80=105
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[25, 17], Operations: ['65+15=80', '80-63=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,69 unequal: No Solution
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 25*17=425, Resulting Numbers: [425]
425,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[63, 55], Operations: ['65+15=80', '80-25=55']
Exploring Operation: 63+55=118, Resulting Numbers: [118]
118,69 unequal: No Solution
Exploring Operation: 63*55=3465, Resulting Numbers: [3465]
3465,69 unequal: No Solution
Exploring Operation: 63-55=8, Resulting Numbers: [8]
8,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[80, 38], Operations: ['65+15=80', '63-25=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,69 unequal: No Solution
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,69 unequal: No Solution
Exploring Operation: 80*38=3040, Resulting Numbers: [3040]
3040,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 69:[80, 88], Operations: ['65+15=80', '63+25=88']
Exploring Operation: 80*88=7040, Resulting Numbers: [7040]
7040,69 unequal: No Solution
Exploring Operation: 88-80=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 80+88=168, Resulting Numbers: [168]
168,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 69:[63, 105], Operations: ['65+15=80', '25+80=105']
Exploring Operation: 63+105=168, Resulting Numbers: [168]
168,69 unequal: No Solution
Exploring Operation: 105-63=42, Resulting Numbers: [42]
42,69 unequal: No Solution
Exploring Operation: 63*105=6615, Resulting Numbers: [6615]
6615,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[63, 25, 50], Operations: ['65-15=50']
Exploring Operation: 50/25=2, Resulting Numbers: [63, 2]
Generated Node #0,3,0: 69:[63, 2] Operation: 50/25=2
Exploring Operation: 25+50=75, Resulting Numbers: [63, 75]
Generated Node #0,3,1: 69:[63, 75] Operation: 25+50=75
Exploring Operation: 50-25=25, Resulting Numbers: [63, 25]
Generated Node #0,3,2: 69:[63, 25] Operation: 50-25=25
Exploring Operation: 63-50=13, Resulting Numbers: [25, 13]
Generated Node #0,3,3: 69:[25, 13] Operation: 63-50=13
Exploring Operation: 63-25=38, Resulting Numbers: [50, 38]
Generated Node #0,3,4: 69:[50, 38] Operation: 63-25=38
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 69:[63, 2], Operations: ['65-15=50', '50/25=2']
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,69 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,69 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 69:[63, 25], Operations: ['65-15=50', '50-25=25']
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,69 unequal: No Solution
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,69 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 69:[63, 75], Operations: ['65-15=50', '25+50=75']
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 63+75=138, Resulting Numbers: [138]
138,69 unequal: No Solution
Exploring Operation: 63*75=4725, Resulting Numbers: [4725]
4725,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 69:[25, 13], Operations: ['65-15=50', '63-50=13']
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 69:[50, 38], Operations: ['65-15=50', '63-25=38']
Exploring Operation: 50*38=1900, Resulting Numbers: [1900]
1900,69 unequal: No Solution
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 50+38=88, Resulting Numbers: [88]
88,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
91,
86,
25,
64
] | 61 | [
"91-86=5",
"25*5=125",
"125-64=61"
] | Current State: 61:[91, 86, 25, 64], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [25, 64, 5]
Generated Node #2: [25, 64, 5] from Operation: 91-86=5
Current State: 61:[25, 64, 5], Operations: ['91-86=5']
Exploring Operation: 25*5=125, Resulting Numbers: [64, 125]
Generated Node #3: [64, 125] from Operation: 25*5=125
Current State: 61:[64, 125], Operations: ['91-86=5', '25*5=125']
Exploring Operation: 125-64=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[91, 86, 25, 64], Operations: []
Exploring Operation: 64-25=39, Resulting Numbers: [91, 86, 39]
Generated Node #0,0: 61:[91, 86, 39] Operation: 64-25=39
Exploring Operation: 91-25=66, Resulting Numbers: [86, 64, 66]
Generated Node #0,1: 61:[86, 64, 66] Operation: 91-25=66
Exploring Operation: 86-25=61, Resulting Numbers: [91, 64, 61]
Generated Node #0,2: 61:[91, 64, 61] Operation: 86-25=61
Exploring Operation: 86+25=111, Resulting Numbers: [91, 64, 111]
Generated Node #0,3: 61:[91, 64, 111] Operation: 86+25=111
Exploring Operation: 91+25=116, Resulting Numbers: [86, 64, 116]
Generated Node #0,4: 61:[86, 64, 116] Operation: 91+25=116
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[86, 64, 66], Operations: ['91-25=66']
Exploring Operation: 86-64=22, Resulting Numbers: [66, 22]
Generated Node #0,1,0: 61:[66, 22] Operation: 86-64=22
Exploring Operation: 86+64=150, Resulting Numbers: [66, 150]
Generated Node #0,1,1: 61:[66, 150] Operation: 86+64=150
Exploring Operation: 66-64=2, Resulting Numbers: [86, 2]
Generated Node #0,1,2: 61:[86, 2] Operation: 66-64=2
Exploring Operation: 86+66=152, Resulting Numbers: [64, 152]
Generated Node #0,1,3: 61:[64, 152] Operation: 86+66=152
Exploring Operation: 86-66=20, Resulting Numbers: [64, 20]
Generated Node #0,1,4: 61:[64, 20] Operation: 86-66=20
Moving to Node #0,1,0
Current State: 61:[66, 22], Operations: ['91-25=66', '86-64=22']
Exploring Operation: 66*22=1452, Resulting Numbers: [1452]
1452,61 unequal: No Solution
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 66+22=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Moving to Node #0,1,4
Current State: 61:[64, 20], Operations: ['91-25=66', '86-66=20']
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,61 unequal: No Solution
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[86, 2], Operations: ['91-25=66', '66-64=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 86*2=172, Resulting Numbers: [172]
172,61 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[66, 150], Operations: ['91-25=66', '86+64=150']
Exploring Operation: 150-66=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 66+150=216, Resulting Numbers: [216]
216,61 unequal: No Solution
Exploring Operation: 66*150=9900, Resulting Numbers: [9900]
9900,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[64, 152], Operations: ['91-25=66', '86+66=152']
Exploring Operation: 64+152=216, Resulting Numbers: [216]
216,61 unequal: No Solution
Exploring Operation: 64*152=9728, Resulting Numbers: [9728]
9728,61 unequal: No Solution
Exploring Operation: 152-64=88, Resulting Numbers: [88]
88,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[91, 64, 61], Operations: ['86-25=61']
Exploring Operation: 91+61=152, Resulting Numbers: [64, 152]
Generated Node #0,2,0: 61:[64, 152] Operation: 91+61=152
Exploring Operation: 64-61=3, Resulting Numbers: [91, 3]
Generated Node #0,2,1: 61:[91, 3] Operation: 64-61=3
Exploring Operation: 91+64=155, Resulting Numbers: [61, 155]
Generated Node #0,2,2: 61:[61, 155] Operation: 91+64=155
Exploring Operation: 91-64=27, Resulting Numbers: [61, 27]
Generated Node #0,2,3: 61:[61, 27] Operation: 91-64=27
Exploring Operation: 91-61=30, Resulting Numbers: [64, 30]
Generated Node #0,2,4: 61:[64, 30] Operation: 91-61=30
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 61:[61, 27], Operations: ['86-25=61', '91-64=27']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 61*27=1647, Resulting Numbers: [1647]
1647,61 unequal: No Solution
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 61:[64, 30], Operations: ['86-25=61', '91-61=30']
Exploring Operation: 64*30=1920, Resulting Numbers: [1920]
1920,61 unequal: No Solution
Exploring Operation: 64+30=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 61:[91, 3], Operations: ['86-25=61', '64-61=3']
Exploring Operation: 91*3=273, Resulting Numbers: [273]
273,61 unequal: No Solution
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 61:[64, 152], Operations: ['86-25=61', '91+61=152']
Exploring Operation: 64+152=216, Resulting Numbers: [216]
216,61 unequal: No Solution
Exploring Operation: 64*152=9728, Resulting Numbers: [9728]
9728,61 unequal: No Solution
Exploring Operation: 152-64=88, Resulting Numbers: [88]
88,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 61:[61, 155], Operations: ['86-25=61', '91+64=155']
Exploring Operation: 61*155=9455, Resulting Numbers: [9455]
9455,61 unequal: No Solution
Exploring Operation: 155-61=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 61+155=216, Resulting Numbers: [216]
216,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[91, 86, 39], Operations: ['64-25=39']
Exploring Operation: 86-39=47, Resulting Numbers: [91, 47]
Generated Node #0,0,0: 61:[91, 47] Operation: 86-39=47
Exploring Operation: 91-39=52, Resulting Numbers: [86, 52]
Generated Node #0,0,1: 61:[86, 52] Operation: 91-39=52
Exploring Operation: 86+39=125, Resulting Numbers: [91, 125]
Generated Node #0,0,2: 61:[91, 125] Operation: 86+39=125
Exploring Operation: 91-86=5, Resulting Numbers: [39, 5]
Generated Node #0,0,3: 61:[39, 5] Operation: 91-86=5
Exploring Operation: 91+39=130, Resulting Numbers: [86, 130]
Generated Node #0,0,4: 61:[86, 130] Operation: 91+39=130
Moving to Node #0,0,1
Current State: 61:[86, 52], Operations: ['64-25=39', '91-39=52']
Exploring Operation: 86*52=4472, Resulting Numbers: [4472]
4472,61 unequal: No Solution
Exploring Operation: 86+52=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[91, 47], Operations: ['64-25=39', '86-39=47']
Exploring Operation: 91+47=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 91*47=4277, Resulting Numbers: [4277]
4277,61 unequal: No Solution
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[39, 5], Operations: ['64-25=39', '91-86=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[91, 125], Operations: ['64-25=39', '86+39=125']
Exploring Operation: 91*125=11375, Resulting Numbers: [11375]
11375,61 unequal: No Solution
Exploring Operation: 125-91=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 91+125=216, Resulting Numbers: [216]
216,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[86, 130], Operations: ['64-25=39', '91+39=130']
Exploring Operation: 86*130=11180, Resulting Numbers: [11180]
11180,61 unequal: No Solution
Exploring Operation: 130-86=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 86+130=216, Resulting Numbers: [216]
216,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[91, 64, 111], Operations: ['86+25=111']
Exploring Operation: 111-64=47, Resulting Numbers: [91, 47]
Generated Node #0,3,0: 61:[91, 47] Operation: 111-64=47
Exploring Operation: 111-91=20, Resulting Numbers: [64, 20]
Generated Node #0,3,1: 61:[64, 20] Operation: 111-91=20
Exploring Operation: 91+64=155, Resulting Numbers: [111, 155]
Generated Node #0,3,2: 61:[111, 155] Operation: 91+64=155
Exploring Operation: 91-64=27, Resulting Numbers: [111, 27]
Generated Node #0,3,3: 61:[111, 27] Operation: 91-64=27
Exploring Operation: 91+111=202, Resulting Numbers: [64, 202]
Generated Node #0,3,4: 61:[64, 202] Operation: 91+111=202
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 61:[91, 47], Operations: ['86+25=111', '111-64=47']
Exploring Operation: 91*47=4277, Resulting Numbers: [4277]
4277,61 unequal: No Solution
Exploring Operation: 91+47=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 61:[64, 20], Operations: ['86+25=111', '111-91=20']
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,61 unequal: No Solution
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 61:[111, 27], Operations: ['86+25=111', '91-64=27']
Exploring Operation: 111-27=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 111*27=2997, Resulting Numbers: [2997]
2997,61 unequal: No Solution
Exploring Operation: 111+27=138, Resulting Numbers: [138]
138,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 61:[111, 155], Operations: ['86+25=111', '91+64=155']
Exploring Operation: 111+155=266, Resulting Numbers: [266]
266,61 unequal: No Solution
Exploring Operation: 111*155=17205, Resulting Numbers: [17205]
17205,61 unequal: No Solution
Exploring Operation: 155-111=44, Resulting Numbers: [44]
44,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 61:[64, 202], Operations: ['86+25=111', '91+111=202']
Exploring Operation: 202-64=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 64*202=12928, Resulting Numbers: [12928]
12928,61 unequal: No Solution
Exploring Operation: 64+202=266, Resulting Numbers: [266]
266,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 61:[86, 64, 116], Operations: ['91+25=116']
Exploring Operation: 116-86=30, Resulting Numbers: [64, 30]
Generated Node #0,4,0: 61:[64, 30] Operation: 116-86=30
Exploring Operation: 116-64=52, Resulting Numbers: [86, 52]
Generated Node #0,4,1: 61:[86, 52] Operation: 116-64=52
Exploring Operation: 86+64=150, Resulting Numbers: [116, 150]
Generated Node #0,4,2: 61:[116, 150] Operation: 86+64=150
Exploring Operation: 86+116=202, Resulting Numbers: [64, 202]
Generated Node #0,4,3: 61:[64, 202] Operation: 86+116=202
Exploring Operation: 86-64=22, Resulting Numbers: [116, 22]
Generated Node #0,4,4: 61:[116, 22] Operation: 86-64=22
Moving to Node #0,4,0
Current State: 61:[64, 30], Operations: ['91+25=116', '116-86=30']
Exploring Operation: 64*30=1920, Resulting Numbers: [1920]
1920,61 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 64+30=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Moving to Node #0,4,1
Current State: 61:[86, 52], Operations: ['91+25=116', '116-64=52']
Exploring Operation: 86+52=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 86*52=4472, Resulting Numbers: [4472]
4472,61 unequal: No Solution
Moving to Node #0,4,4
Current State: 61:[116, 22], Operations: ['91+25=116', '86-64=22']
Exploring Operation: 116-22=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 116+22=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 116*22=2552, Resulting Numbers: [2552]
2552,61 unequal: No Solution
Moving to Node #0,4,2
Current State: 61:[116, 150], Operations: ['91+25=116', '86+64=150']
Exploring Operation: 116+150=266, Resulting Numbers: [266]
266,61 unequal: No Solution
Exploring Operation: 116*150=17400, Resulting Numbers: [17400]
17400,61 unequal: No Solution
Exploring Operation: 150-116=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Moving to Node #0,4,3
Current State: 61:[64, 202], Operations: ['91+25=116', '86+116=202']
Exploring Operation: 64+202=266, Resulting Numbers: [266]
266,61 unequal: No Solution
Exploring Operation: 202-64=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 64*202=12928, Resulting Numbers: [12928]
12928,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
62,
51,
92,
49
] | 70 | [
"62+51=113",
"92-49=43",
"113-43=70"
] | Current State: 70:[62, 51, 92, 49], Operations: []
Exploring Operation: 62+51=113, Resulting Numbers: [92, 49, 113]
Generated Node #2: [92, 49, 113] from Operation: 62+51=113
Current State: 70:[92, 49, 113], Operations: ['62+51=113']
Exploring Operation: 92-49=43, Resulting Numbers: [113, 43]
Generated Node #3: [113, 43] from Operation: 92-49=43
Current State: 70:[113, 43], Operations: ['62+51=113', '92-49=43']
Exploring Operation: 113-43=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[62, 51, 92, 49], Operations: []
Exploring Operation: 92-51=41, Resulting Numbers: [62, 49, 41]
Generated Node #0,0: 70:[62, 49, 41] Operation: 92-51=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[62, 49, 41], Operations: ['92-51=41']
Exploring Operation: 62-49=13, Resulting Numbers: [41, 13]
Generated Node #0,0,0: 70:[41, 13] Operation: 62-49=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[41, 13], Operations: ['92-51=41', '62-49=13']
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
90,
94,
43,
24
] | 26 | [
"90-43=47",
"94/47=2",
"24+2=26"
] | Current State: 26:[90, 94, 43, 24], Operations: []
Exploring Operation: 90-43=47, Resulting Numbers: [94, 24, 47]
Generated Node #2: [94, 24, 47] from Operation: 90-43=47
Current State: 26:[94, 24, 47], Operations: ['90-43=47']
Exploring Operation: 94/47=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 94/47=2
Current State: 26:[24, 2], Operations: ['90-43=47', '94/47=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[90, 94, 43, 24], Operations: []
Exploring Operation: 94-43=51, Resulting Numbers: [90, 24, 51]
Generated Node #0,0: 26:[90, 24, 51] Operation: 94-43=51
Exploring Operation: 94-90=4, Resulting Numbers: [43, 24, 4]
Generated Node #0,1: 26:[43, 24, 4] Operation: 94-90=4
Exploring Operation: 90-43=47, Resulting Numbers: [94, 24, 47]
Generated Node #0,2: 26:[94, 24, 47] Operation: 90-43=47
Moving to Node #0,1
Current State: 26:[43, 24, 4], Operations: ['94-90=4']
Exploring Operation: 24+4=28, Resulting Numbers: [43, 28]
Generated Node #0,1,0: 26:[43, 28] Operation: 24+4=28
Exploring Operation: 43-24=19, Resulting Numbers: [4, 19]
Generated Node #0,1,1: 26:[4, 19] Operation: 43-24=19
Exploring Operation: 43-4=39, Resulting Numbers: [24, 39]
Generated Node #0,1,2: 26:[24, 39] Operation: 43-4=39
Moving to Node #0,0
Current State: 26:[90, 24, 51], Operations: ['94-43=51']
Exploring Operation: 51-24=27, Resulting Numbers: [90, 27]
Generated Node #0,0,0: 26:[90, 27] Operation: 51-24=27
Exploring Operation: 90-24=66, Resulting Numbers: [51, 66]
Generated Node #0,0,1: 26:[51, 66] Operation: 90-24=66
Exploring Operation: 90-51=39, Resulting Numbers: [24, 39]
Generated Node #0,0,2: 26:[24, 39] Operation: 90-51=39
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 26:[24, 39], Operations: ['94-43=51', '90-51=39']
Exploring Operation: 24+39=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 24*39=936, Resulting Numbers: [936]
936,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[90, 27], Operations: ['94-43=51', '51-24=27']
Exploring Operation: 90+27=117, Resulting Numbers: [117]
117,26 unequal: No Solution
Exploring Operation: 90*27=2430, Resulting Numbers: [2430]
2430,26 unequal: No Solution
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[51, 66], Operations: ['94-43=51', '90-24=66']
Exploring Operation: 51+66=117, Resulting Numbers: [117]
117,26 unequal: No Solution
Exploring Operation: 51*66=3366, Resulting Numbers: [3366]
3366,26 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 26:[94, 24, 47], Operations: ['90-43=47']
Exploring Operation: 94/47=2, Resulting Numbers: [24, 2]
Generated Node #0,2,0: 26:[24, 2] Operation: 94/47=2
Exploring Operation: 94-47=47, Resulting Numbers: [24, 47]
Generated Node #0,2,1: 26:[24, 47] Operation: 94-47=47
Exploring Operation: 94-24=70, Resulting Numbers: [47, 70]
Generated Node #0,2,2: 26:[47, 70] Operation: 94-24=70
Moving to Node #0,2,0
Current State: 26:[24, 2], Operations: ['90-43=47', '94/47=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,26 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,26 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[90, 94, 43, 24], Operations: []
Exploring Operation: 90-43=47, Resulting Numbers: [94, 24, 47]
Generated Node #0,2: 26:[94, 24, 47] Operation: 90-43=47
Moving to Node #0,2
Current State: 26:[94, 24, 47], Operations: ['90-43=47']
Exploring Operation: 94/47=2, Resulting Numbers: [24, 2]
Generated Node #0,2,0: 26:[24, 2] Operation: 94/47=2
Moving to Node #0,2,0
Current State: 26:[24, 2], Operations: ['90-43=47', '94/47=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.975694 | hs_3 | mult_heuristic |
[
95,
28,
69,
4
] | 19 | [
"95-69=26",
"28/4=7",
"26-7=19"
] | Current State: 19:[95, 28, 69, 4], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [28, 4, 26]
Generated Node #2: [28, 4, 26] from Operation: 95-69=26
Current State: 19:[28, 4, 26], Operations: ['95-69=26']
Exploring Operation: 28/4=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 28/4=7
Current State: 19:[26, 7], Operations: ['95-69=26', '28/4=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[95, 28, 69, 4], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [28, 4, 26]
Generated Node #0,0: 19:[28, 4, 26] Operation: 95-69=26
Exploring Operation: 95-28=67, Resulting Numbers: [69, 4, 67]
Generated Node #0,1: 19:[69, 4, 67] Operation: 95-28=67
Exploring Operation: 95-4=91, Resulting Numbers: [28, 69, 91]
Generated Node #0,2: 19:[28, 69, 91] Operation: 95-4=91
Exploring Operation: 28-4=24, Resulting Numbers: [95, 69, 24]
Generated Node #0,3: 19:[95, 69, 24] Operation: 28-4=24
Exploring Operation: 69-28=41, Resulting Numbers: [95, 4, 41]
Generated Node #0,4: 19:[95, 4, 41] Operation: 69-28=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[28, 4, 26], Operations: ['95-69=26']
Exploring Operation: 28/4=7, Resulting Numbers: [26, 7]
Generated Node #0,0,0: 19:[26, 7] Operation: 28/4=7
Exploring Operation: 4+26=30, Resulting Numbers: [28, 30]
Generated Node #0,0,1: 19:[28, 30] Operation: 4+26=30
Exploring Operation: 26-4=22, Resulting Numbers: [28, 22]
Generated Node #0,0,2: 19:[28, 22] Operation: 26-4=22
Exploring Operation: 28-4=24, Resulting Numbers: [26, 24]
Generated Node #0,0,3: 19:[26, 24] Operation: 28-4=24
Exploring Operation: 28+4=32, Resulting Numbers: [26, 32]
Generated Node #0,0,4: 19:[26, 32] Operation: 28+4=32
Moving to Node #0,0,2
Current State: 19:[28, 22], Operations: ['95-69=26', '26-4=22']
Exploring Operation: 28*22=616, Resulting Numbers: [616]
616,19 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 28+22=50, Resulting Numbers: [50]
50,19 unequal: No Solution
Moving to Node #0,0,3
Current State: 19:[26, 24], Operations: ['95-69=26', '28-4=24']
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,19 unequal: No Solution
Exploring Operation: 26*24=624, Resulting Numbers: [624]
624,19 unequal: No Solution
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[26, 7], Operations: ['95-69=26', '28/4=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,19 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,19 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[95, 28, 69, 4], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [28, 4, 26]
Generated Node #0,0: 19:[28, 4, 26] Operation: 95-69=26
Moving to Node #0,0
Current State: 19:[28, 4, 26], Operations: ['95-69=26']
Exploring Operation: 28/4=7, Resulting Numbers: [26, 7]
Generated Node #0,0,0: 19:[26, 7] Operation: 28/4=7
Moving to Node #0,0,0
Current State: 19:[26, 7], Operations: ['95-69=26', '28/4=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
32,
19,
17,
39
] | 100 | [
"39-32=7",
"17*7=119",
"119-19=100"
] | Current State: 100:[32, 19, 17, 39], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [19, 17, 7]
Generated Node #2: [19, 17, 7] from Operation: 39-32=7
Current State: 100:[19, 17, 7], Operations: ['39-32=7']
Exploring Operation: 17*7=119, Resulting Numbers: [19, 119]
Generated Node #3: [19, 119] from Operation: 17*7=119
Current State: 100:[19, 119], Operations: ['39-32=7', '17*7=119']
Exploring Operation: 119-19=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[32, 19, 17, 39], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [19, 17, 7]
Generated Node #0,0: 100:[19, 17, 7] Operation: 39-32=7
Moving to Node #0,0
Current State: 100:[19, 17, 7], Operations: ['39-32=7']
Exploring Operation: 17-7=10, Resulting Numbers: [19, 10]
Generated Node #0,0,0: 100:[19, 10] Operation: 17-7=10
Moving to Node #0,0,0
Current State: 100:[19, 10], Operations: ['39-32=7', '17-7=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,100 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
72,
28,
19,
13
] | 12 | [
"72-28=44",
"19+13=32",
"44-32=12"
] | Current State: 12:[72, 28, 19, 13], Operations: []
Exploring Operation: 72-28=44, Resulting Numbers: [19, 13, 44]
Generated Node #2: [19, 13, 44] from Operation: 72-28=44
Current State: 12:[19, 13, 44], Operations: ['72-28=44']
Exploring Operation: 19+13=32, Resulting Numbers: [44, 32]
Generated Node #3: [44, 32] from Operation: 19+13=32
Current State: 12:[44, 32], Operations: ['72-28=44', '19+13=32']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[72, 28, 19, 13], Operations: []
Exploring Operation: 72-28=44, Resulting Numbers: [19, 13, 44]
Generated Node #0,0: 12:[19, 13, 44] Operation: 72-28=44
Exploring Operation: 72-19=53, Resulting Numbers: [28, 13, 53]
Generated Node #0,1: 12:[28, 13, 53] Operation: 72-19=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[19, 13, 44], Operations: ['72-28=44']
Exploring Operation: 44-13=31, Resulting Numbers: [19, 31]
Generated Node #0,0,0: 12:[19, 31] Operation: 44-13=31
Exploring Operation: 44-19=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 12:[13, 25] Operation: 44-19=25
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 12:[13, 25], Operations: ['72-28=44', '44-19=25']
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,12 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[72, 28, 19, 13], Operations: []
Exploring Operation: 72-28=44, Resulting Numbers: [19, 13, 44]
Generated Node #0,0: 12:[19, 13, 44] Operation: 72-28=44
Moving to Node #0,0
Current State: 12:[19, 13, 44], Operations: ['72-28=44']
Exploring Operation: 44-19=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 12:[13, 25] Operation: 44-19=25
Moving to Node #0,0,1
Current State: 12:[13, 25], Operations: ['72-28=44', '44-19=25']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
42,
64,
76,
2
] | 32 | [
"42+64=106",
"76-2=74",
"106-74=32"
] | Current State: 32:[42, 64, 76, 2], Operations: []
Exploring Operation: 42+64=106, Resulting Numbers: [76, 2, 106]
Generated Node #2: [76, 2, 106] from Operation: 42+64=106
Current State: 32:[76, 2, 106], Operations: ['42+64=106']
Exploring Operation: 76-2=74, Resulting Numbers: [106, 74]
Generated Node #3: [106, 74] from Operation: 76-2=74
Current State: 32:[106, 74], Operations: ['42+64=106', '76-2=74']
Exploring Operation: 106-74=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[42, 64, 76, 2], Operations: []
Exploring Operation: 64-42=22, Resulting Numbers: [76, 2, 22]
Generated Node #0,0: 32:[76, 2, 22] Operation: 64-42=22
Exploring Operation: 76-64=12, Resulting Numbers: [42, 2, 12]
Generated Node #0,1: 32:[42, 2, 12] Operation: 76-64=12
Exploring Operation: 64/2=32, Resulting Numbers: [42, 76, 32]
Generated Node #0,2: 32:[42, 76, 32] Operation: 64/2=32
Exploring Operation: 76-42=34, Resulting Numbers: [64, 2, 34]
Generated Node #0,3: 32:[64, 2, 34] Operation: 76-42=34
Exploring Operation: 76/2=38, Resulting Numbers: [42, 64, 38]
Generated Node #0,4: 32:[42, 64, 38] Operation: 76/2=38
Moving to Node #0,1
Current State: 32:[42, 2, 12], Operations: ['76-64=12']
Exploring Operation: 2+12=14, Resulting Numbers: [42, 14]
Generated Node #0,1,0: 32:[42, 14] Operation: 2+12=14
Exploring Operation: 42-2=40, Resulting Numbers: [12, 40]
Generated Node #0,1,1: 32:[12, 40] Operation: 42-2=40
Exploring Operation: 42-12=30, Resulting Numbers: [2, 30]
Generated Node #0,1,2: 32:[2, 30] Operation: 42-12=30
Exploring Operation: 12-2=10, Resulting Numbers: [42, 10]
Generated Node #0,1,3: 32:[42, 10] Operation: 12-2=10
Exploring Operation: 42/2=21, Resulting Numbers: [12, 21]
Generated Node #0,1,4: 32:[12, 21] Operation: 42/2=21
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 32:[2, 30], Operations: ['76-64=12', '42-12=30']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,32 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[42, 64, 76, 2], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [42, 2, 12]
Generated Node #0,1: 32:[42, 2, 12] Operation: 76-64=12
Moving to Node #0,1
Current State: 32:[42, 2, 12], Operations: ['76-64=12']
Exploring Operation: 42-12=30, Resulting Numbers: [2, 30]
Generated Node #0,1,2: 32:[2, 30] Operation: 42-12=30
Moving to Node #0,1,2
Current State: 32:[2, 30], Operations: ['76-64=12', '42-12=30']
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
30,
1,
1,
80
] | 80 | [
"1-1=0",
"30*0=0",
"80+0=80"
] | Current State: 80:[30, 1, 1, 80], Operations: []
Exploring Operation: 1-1=0, Resulting Numbers: [30, 80, 0]
Generated Node #2: [30, 80, 0] from Operation: 1-1=0
Current State: 80:[30, 80, 0], Operations: ['1-1=0']
Exploring Operation: 30*0=0, Resulting Numbers: [80, 0]
Generated Node #3: [80, 0] from Operation: 30*0=0
Current State: 80:[80, 0], Operations: ['1-1=0', '30*0=0']
Exploring Operation: 80+0=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[30, 1, 1, 80], Operations: []
Exploring Operation: 30+1=31, Resulting Numbers: [1, 80, 31]
Generated Node #0,0: 80:[1, 80, 31] Operation: 30+1=31
Exploring Operation: 30-1=29, Resulting Numbers: [1, 80, 29]
Generated Node #0,1: 80:[1, 80, 29] Operation: 30-1=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[1, 80, 31], Operations: ['30+1=31']
Exploring Operation: 1*80=80, Resulting Numbers: [31, 80]
Generated Node #0,0,0: 80:[31, 80] Operation: 1*80=80
Exploring Operation: 1+31=32, Resulting Numbers: [80, 32]
Generated Node #0,0,1: 80:[80, 32] Operation: 1+31=32
Moving to Node #0,0,1
Current State: 80:[80, 32], Operations: ['30+1=31', '1+31=32']
Exploring Operation: 80+32=112, Resulting Numbers: [112]
112,80 unequal: No Solution
Exploring Operation: 80-32=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[31, 80], Operations: ['30+1=31', '1*80=80']
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,80 unequal: No Solution
Exploring Operation: 31+80=111, Resulting Numbers: [111]
111,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[1, 80, 29], Operations: ['30-1=29']
Exploring Operation: 1*80=80, Resulting Numbers: [29, 80]
Generated Node #0,1,0: 80:[29, 80] Operation: 1*80=80
Exploring Operation: 29-1=28, Resulting Numbers: [80, 28]
Generated Node #0,1,1: 80:[80, 28] Operation: 29-1=28
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 80:[80, 28], Operations: ['30-1=29', '29-1=28']
Exploring Operation: 80+28=108, Resulting Numbers: [108]
108,80 unequal: No Solution
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[29, 80], Operations: ['30-1=29', '1*80=80']
Exploring Operation: 29+80=109, Resulting Numbers: [109]
109,80 unequal: No Solution
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
19,
53,
57,
52
] | 77 | [
"19+53=72",
"57-52=5",
"72+5=77"
] | Current State: 77:[19, 53, 57, 52], Operations: []
Exploring Operation: 19+53=72, Resulting Numbers: [57, 52, 72]
Generated Node #2: [57, 52, 72] from Operation: 19+53=72
Current State: 77:[57, 52, 72], Operations: ['19+53=72']
Exploring Operation: 57-52=5, Resulting Numbers: [72, 5]
Generated Node #3: [72, 5] from Operation: 57-52=5
Current State: 77:[72, 5], Operations: ['19+53=72', '57-52=5']
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[19, 53, 57, 52], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [19, 57, 1]
Generated Node #0,0: 77:[19, 57, 1] Operation: 53-52=1
Moving to Node #0,0
Current State: 77:[19, 57, 1], Operations: ['53-52=1']
Exploring Operation: 19+57=76, Resulting Numbers: [1, 76]
Generated Node #0,0,0: 77:[1, 76] Operation: 19+57=76
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[1, 76], Operations: ['53-52=1', '19+57=76']
Exploring Operation: 1+76=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[19, 53, 57, 52], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [19, 57, 1]
Generated Node #0,0: 77:[19, 57, 1] Operation: 53-52=1
Moving to Node #0,0
Current State: 77:[19, 57, 1], Operations: ['53-52=1']
Exploring Operation: 19+57=76, Resulting Numbers: [1, 76]
Generated Node #0,0,0: 77:[1, 76] Operation: 19+57=76
Moving to Node #0,0,0
Current State: 77:[1, 76], Operations: ['53-52=1', '19+57=76']
Exploring Operation: 1+76=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
68,
17,
2,
6
] | 11 | [
"68/2=34",
"17+6=23",
"34-23=11"
] | Current State: 11:[68, 17, 2, 6], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [17, 6, 34]
Generated Node #2: [17, 6, 34] from Operation: 68/2=34
Current State: 11:[17, 6, 34], Operations: ['68/2=34']
Exploring Operation: 17+6=23, Resulting Numbers: [34, 23]
Generated Node #3: [34, 23] from Operation: 17+6=23
Current State: 11:[34, 23], Operations: ['68/2=34', '17+6=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[68, 17, 2, 6], Operations: []
Exploring Operation: 68-17=51, Resulting Numbers: [2, 6, 51]
Generated Node #0,0: 11:[2, 6, 51] Operation: 68-17=51
Exploring Operation: 68/17=4, Resulting Numbers: [2, 6, 4]
Generated Node #0,1: 11:[2, 6, 4] Operation: 68/17=4
Exploring Operation: 2*6=12, Resulting Numbers: [68, 17, 12]
Generated Node #0,2: 11:[68, 17, 12] Operation: 2*6=12
Exploring Operation: 68/2=34, Resulting Numbers: [17, 6, 34]
Generated Node #0,3: 11:[17, 6, 34] Operation: 68/2=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[2, 6, 4], Operations: ['68/17=4']
Exploring Operation: 2*6=12, Resulting Numbers: [4, 12]
Generated Node #0,1,0: 11:[4, 12] Operation: 2*6=12
Exploring Operation: 2+4=6, Resulting Numbers: [6, 6]
Generated Node #0,1,1: 11:[6, 6] Operation: 2+4=6
Exploring Operation: 2+6=8, Resulting Numbers: [4, 8]
Generated Node #0,1,2: 11:[4, 8] Operation: 2+6=8
Exploring Operation: 2*4=8, Resulting Numbers: [6, 8]
Generated Node #0,1,3: 11:[6, 8] Operation: 2*4=8
Moving to Node #0,1,0
Current State: 11:[4, 12], Operations: ['68/17=4', '2*6=12']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,11 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[6, 8], Operations: ['68/17=4', '2*4=8']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[4, 8], Operations: ['68/17=4', '2+6=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[6, 6], Operations: ['68/17=4', '2+4=6']
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[17, 6, 34], Operations: ['68/2=34']
Exploring Operation: 34-17=17, Resulting Numbers: [6, 17]
Generated Node #0,3,0: 11:[6, 17] Operation: 34-17=17
Exploring Operation: 34-6=28, Resulting Numbers: [17, 28]
Generated Node #0,3,1: 11:[17, 28] Operation: 34-6=28
Exploring Operation: 17-6=11, Resulting Numbers: [34, 11]
Generated Node #0,3,2: 11:[34, 11] Operation: 17-6=11
Exploring Operation: 34/17=2, Resulting Numbers: [6, 2]
Generated Node #0,3,3: 11:[6, 2] Operation: 34/17=2
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 11:[6, 17], Operations: ['68/2=34', '34-17=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[68, 17, 2, 6], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [17, 6, 34]
Generated Node #0,3: 11:[17, 6, 34] Operation: 68/2=34
Moving to Node #0,3
Current State: 11:[17, 6, 34], Operations: ['68/2=34']
Exploring Operation: 34-17=17, Resulting Numbers: [6, 17]
Generated Node #0,3,0: 11:[6, 17] Operation: 34-17=17
Moving to Node #0,3,0
Current State: 11:[6, 17], Operations: ['68/2=34', '34-17=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
69,
91,
24,
29
] | 31 | [
"91-69=22",
"24+29=53",
"53-22=31"
] | Current State: 31:[69, 91, 24, 29], Operations: []
Exploring Operation: 91-69=22, Resulting Numbers: [24, 29, 22]
Generated Node #2: [24, 29, 22] from Operation: 91-69=22
Current State: 31:[24, 29, 22], Operations: ['91-69=22']
Exploring Operation: 24+29=53, Resulting Numbers: [22, 53]
Generated Node #3: [22, 53] from Operation: 24+29=53
Current State: 31:[22, 53], Operations: ['91-69=22', '24+29=53']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[69, 91, 24, 29], Operations: []
Exploring Operation: 91-69=22, Resulting Numbers: [24, 29, 22]
Generated Node #0,0: 31:[24, 29, 22] Operation: 91-69=22
Moving to Node #0,0
Current State: 31:[24, 29, 22], Operations: ['91-69=22']
Exploring Operation: 24+22=46, Resulting Numbers: [29, 46]
Generated Node #0,0,0: 31:[29, 46] Operation: 24+22=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[29, 46], Operations: ['91-69=22', '24+22=46']
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
1,
61,
79,
54
] | 36 | [
"1*61=61",
"79-54=25",
"61-25=36"
] | Current State: 36:[1, 61, 79, 54], Operations: []
Exploring Operation: 1*61=61, Resulting Numbers: [79, 54, 61]
Generated Node #2: [79, 54, 61] from Operation: 1*61=61
Current State: 36:[79, 54, 61], Operations: ['1*61=61']
Exploring Operation: 79-54=25, Resulting Numbers: [61, 25]
Generated Node #3: [61, 25] from Operation: 79-54=25
Current State: 36:[61, 25], Operations: ['1*61=61', '79-54=25']
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[1, 61, 79, 54], Operations: []
Exploring Operation: 79-54=25, Resulting Numbers: [1, 61, 25]
Generated Node #0,0: 36:[1, 61, 25] Operation: 79-54=25
Exploring Operation: 61-54=7, Resulting Numbers: [1, 79, 7]
Generated Node #0,1: 36:[1, 79, 7] Operation: 61-54=7
Exploring Operation: 79-61=18, Resulting Numbers: [1, 54, 18]
Generated Node #0,2: 36:[1, 54, 18] Operation: 79-61=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[1, 54, 18], Operations: ['79-61=18']
Exploring Operation: 54-1=53, Resulting Numbers: [18, 53]
Generated Node #0,2,0: 36:[18, 53] Operation: 54-1=53
Exploring Operation: 54/18=3, Resulting Numbers: [1, 3]
Generated Node #0,2,1: 36:[1, 3] Operation: 54/18=3
Exploring Operation: 54-18=36, Resulting Numbers: [1, 36]
Generated Node #0,2,2: 36:[1, 36] Operation: 54-18=36
Moving to Node #0,2,1
Current State: 36:[1, 3], Operations: ['79-61=18', '54/18=3']
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[1, 36], Operations: ['79-61=18', '54-18=36']
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[1, 61, 79, 54], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [1, 54, 18]
Generated Node #0,2: 36:[1, 54, 18] Operation: 79-61=18
Moving to Node #0,2
Current State: 36:[1, 54, 18], Operations: ['79-61=18']
Exploring Operation: 54-18=36, Resulting Numbers: [1, 36]
Generated Node #0,2,2: 36:[1, 36] Operation: 54-18=36
Moving to Node #0,2,2
Current State: 36:[1, 36], Operations: ['79-61=18', '54-18=36']
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
14,
29,
72,
12
] | 17 | [
"14+29=43",
"72-12=60",
"60-43=17"
] | Current State: 17:[14, 29, 72, 12], Operations: []
Exploring Operation: 14+29=43, Resulting Numbers: [72, 12, 43]
Generated Node #2: [72, 12, 43] from Operation: 14+29=43
Current State: 17:[72, 12, 43], Operations: ['14+29=43']
Exploring Operation: 72-12=60, Resulting Numbers: [43, 60]
Generated Node #3: [43, 60] from Operation: 72-12=60
Current State: 17:[43, 60], Operations: ['14+29=43', '72-12=60']
Exploring Operation: 60-43=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[14, 29, 72, 12], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [14, 29, 6]
Generated Node #0,0: 17:[14, 29, 6] Operation: 72/12=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[14, 29, 6], Operations: ['72/12=6']
Exploring Operation: 29-6=23, Resulting Numbers: [14, 23]
Generated Node #0,0,0: 17:[14, 23] Operation: 29-6=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[14, 23], Operations: ['72/12=6', '29-6=23']
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,17 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,
40,
90,
67
] | 20 | [
"83-40=43",
"90-67=23",
"43-23=20"
] | Current State: 20:[83, 40, 90, 67], Operations: []
Exploring Operation: 83-40=43, Resulting Numbers: [90, 67, 43]
Generated Node #2: [90, 67, 43] from Operation: 83-40=43
Current State: 20:[90, 67, 43], Operations: ['83-40=43']
Exploring Operation: 90-67=23, Resulting Numbers: [43, 23]
Generated Node #3: [43, 23] from Operation: 90-67=23
Current State: 20:[43, 23], Operations: ['83-40=43', '90-67=23']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[83, 40, 90, 67], Operations: []
Exploring Operation: 90-83=7, Resulting Numbers: [40, 67, 7]
Generated Node #0,0: 20:[40, 67, 7] Operation: 90-83=7
Exploring Operation: 83-67=16, Resulting Numbers: [40, 90, 16]
Generated Node #0,1: 20:[40, 90, 16] Operation: 83-67=16
Exploring Operation: 90-67=23, Resulting Numbers: [83, 40, 23]
Generated Node #0,2: 20:[83, 40, 23] Operation: 90-67=23
Moving to Node #0,0
Current State: 20:[40, 67, 7], Operations: ['90-83=7']
Exploring Operation: 40-7=33, Resulting Numbers: [67, 33]
Generated Node #0,0,0: 20:[67, 33] Operation: 40-7=33
Exploring Operation: 67-7=60, Resulting Numbers: [40, 60]
Generated Node #0,0,1: 20:[40, 60] Operation: 67-7=60
Exploring Operation: 67-40=27, Resulting Numbers: [7, 27]
Generated Node #0,0,2: 20:[7, 27] Operation: 67-40=27
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[7, 27], Operations: ['90-83=7', '67-40=27']
Exploring Operation: 7*27=189, Resulting Numbers: [189]
189,20 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[83, 40, 90, 67], Operations: []
Exploring Operation: 90-83=7, Resulting Numbers: [40, 67, 7]
Generated Node #0,0: 20:[40, 67, 7] Operation: 90-83=7
Moving to Node #0,0
Current State: 20:[40, 67, 7], Operations: ['90-83=7']
Exploring Operation: 67-40=27, Resulting Numbers: [7, 27]
Generated Node #0,0,2: 20:[7, 27] Operation: 67-40=27
Moving to Node #0,0,2
Current State: 20:[7, 27], Operations: ['90-83=7', '67-40=27']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
74,
99,
22,
78
] | 73 | [
"74+99=173",
"22+78=100",
"173-100=73"
] | Current State: 73:[74, 99, 22, 78], Operations: []
Exploring Operation: 74+99=173, Resulting Numbers: [22, 78, 173]
Generated Node #2: [22, 78, 173] from Operation: 74+99=173
Current State: 73:[22, 78, 173], Operations: ['74+99=173']
Exploring Operation: 22+78=100, Resulting Numbers: [173, 100]
Generated Node #3: [173, 100] from Operation: 22+78=100
Current State: 73:[173, 100], Operations: ['74+99=173', '22+78=100']
Exploring Operation: 173-100=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[74, 99, 22, 78], Operations: []
Exploring Operation: 99-22=77, Resulting Numbers: [74, 78, 77]
Generated Node #0,0: 73:[74, 78, 77] Operation: 99-22=77
Exploring Operation: 74+22=96, Resulting Numbers: [99, 78, 96]
Generated Node #0,1: 73:[99, 78, 96] Operation: 74+22=96
Exploring Operation: 78-22=56, Resulting Numbers: [74, 99, 56]
Generated Node #0,2: 73:[74, 99, 56] Operation: 78-22=56
Exploring Operation: 74-22=52, Resulting Numbers: [99, 78, 52]
Generated Node #0,3: 73:[99, 78, 52] Operation: 74-22=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[74, 78, 77], Operations: ['99-22=77']
Exploring Operation: 78-77=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 73:[74, 1] Operation: 78-77=1
Exploring Operation: 77-74=3, Resulting Numbers: [78, 3]
Generated Node #0,0,1: 73:[78, 3] Operation: 77-74=3
Exploring Operation: 78-74=4, Resulting Numbers: [77, 4]
Generated Node #0,0,2: 73:[77, 4] Operation: 78-74=4
Exploring Operation: 74+78=152, Resulting Numbers: [77, 152]
Generated Node #0,0,3: 73:[77, 152] Operation: 74+78=152
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[74, 1], Operations: ['99-22=77', '78-77=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,73 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[74, 99, 22, 78], Operations: []
Exploring Operation: 99-22=77, Resulting Numbers: [74, 78, 77]
Generated Node #0,0: 73:[74, 78, 77] Operation: 99-22=77
Moving to Node #0,0
Current State: 73:[74, 78, 77], Operations: ['99-22=77']
Exploring Operation: 78-77=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 73:[74, 1] Operation: 78-77=1
Moving to Node #0,0,0
Current State: 73:[74, 1], Operations: ['99-22=77', '78-77=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
48,
2,
17,
8
] | 72 | [
"17-2=15",
"8*15=120",
"120-48=72"
] | Current State: 72:[48, 2, 17, 8], Operations: []
Exploring Operation: 17-2=15, Resulting Numbers: [48, 8, 15]
Generated Node #2: [48, 8, 15] from Operation: 17-2=15
Current State: 72:[48, 8, 15], Operations: ['17-2=15']
Exploring Operation: 8*15=120, Resulting Numbers: [48, 120]
Generated Node #3: [48, 120] from Operation: 8*15=120
Current State: 72:[48, 120], Operations: ['17-2=15', '8*15=120']
Exploring Operation: 120-48=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[48, 2, 17, 8], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [2, 17, 6]
Generated Node #0,0: 72:[2, 17, 6] Operation: 48/8=6
Exploring Operation: 48/2=24, Resulting Numbers: [17, 8, 24]
Generated Node #0,1: 72:[17, 8, 24] Operation: 48/2=24
Exploring Operation: 48-17=31, Resulting Numbers: [2, 8, 31]
Generated Node #0,2: 72:[2, 8, 31] Operation: 48-17=31
Moving to Node #0,0
Current State: 72:[2, 17, 6], Operations: ['48/8=6']
Exploring Operation: 2+17=19, Resulting Numbers: [6, 19]
Generated Node #0,0,0: 72:[6, 19] Operation: 2+17=19
Exploring Operation: 2+6=8, Resulting Numbers: [17, 8]
Generated Node #0,0,1: 72:[17, 8] Operation: 2+6=8
Exploring Operation: 2*6=12, Resulting Numbers: [17, 12]
Generated Node #0,0,2: 72:[17, 12] Operation: 2*6=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[6, 19], Operations: ['48/8=6', '2+17=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,72 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[17, 8], Operations: ['48/8=6', '2+6=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[17, 12], Operations: ['48/8=6', '2*6=12']
Exploring Operation: 17*12=204, Resulting Numbers: [204]
204,72 unequal: No Solution
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,72 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: 72:[17, 8, 24], Operations: ['48/2=24']
Exploring Operation: 24-17=7, Resulting Numbers: [8, 7]
Generated Node #0,1,0: 72:[8, 7] Operation: 24-17=7
Exploring Operation: 17-8=9, Resulting Numbers: [24, 9]
Generated Node #0,1,1: 72:[24, 9] Operation: 17-8=9
Exploring Operation: 17+8=25, Resulting Numbers: [24, 25]
Generated Node #0,1,2: 72:[24, 25] Operation: 17+8=25
Moving to Node #0,2
Current State: 72:[2, 8, 31], Operations: ['48-17=31']
Exploring Operation: 2+31=33, Resulting Numbers: [8, 33]
Generated Node #0,2,0: 72:[8, 33] Operation: 2+31=33
Exploring Operation: 31-8=23, Resulting Numbers: [2, 23]
Generated Node #0,2,1: 72:[2, 23] Operation: 31-8=23
Exploring Operation: 8+31=39, Resulting Numbers: [2, 39]
Generated Node #0,2,2: 72:[2, 39] Operation: 8+31=39
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[2, 23], Operations: ['48-17=31', '31-8=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[8, 33], Operations: ['48-17=31', '2+31=33']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,72 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[2, 39], Operations: ['48-17=31', '8+31=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,72 unequal: No Solution
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,72 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: 72:[24, 9], Operations: ['48/2=24', '17-8=9']
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,72 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 24*9=216, Resulting Numbers: [216]
216,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[8, 7], Operations: ['48/2=24', '24-17=7']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[24, 25], Operations: ['48/2=24', '17+8=25']
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,72 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,72 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
46,
52,
40,
55
] | 21 | [
"52-46=6",
"55-40=15",
"6+15=21"
] | Current State: 21:[46, 52, 40, 55], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [40, 55, 6]
Generated Node #2: [40, 55, 6] from Operation: 52-46=6
Current State: 21:[40, 55, 6], Operations: ['52-46=6']
Exploring Operation: 55-40=15, Resulting Numbers: [6, 15]
Generated Node #3: [6, 15] from Operation: 55-40=15
Current State: 21:[6, 15], Operations: ['52-46=6', '55-40=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[46, 52, 40, 55], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [46, 40, 3]
Generated Node #0,0: 21:[46, 40, 3] Operation: 55-52=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[46, 40, 3], Operations: ['55-52=3']
Exploring Operation: 46-40=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 21:[3, 6] Operation: 46-40=6
Moving to Node #0,0,0
Current State: 21:[3, 6], Operations: ['55-52=3', '46-40=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,21 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 |
[
53,
28,
60,
11
] | 10 | [
"53+28=81",
"60+11=71",
"81-71=10"
] | Current State: 10:[53, 28, 60, 11], Operations: []
Exploring Operation: 53+28=81, Resulting Numbers: [60, 11, 81]
Generated Node #2: [60, 11, 81] from Operation: 53+28=81
Current State: 10:[60, 11, 81], Operations: ['53+28=81']
Exploring Operation: 60+11=71, Resulting Numbers: [81, 71]
Generated Node #3: [81, 71] from Operation: 60+11=71
Current State: 10:[81, 71], Operations: ['53+28=81', '60+11=71']
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[53, 28, 60, 11], Operations: []
Exploring Operation: 53-28=25, Resulting Numbers: [60, 11, 25]
Generated Node #0,0: 10:[60, 11, 25] Operation: 53-28=25
Exploring Operation: 60-28=32, Resulting Numbers: [53, 11, 32]
Generated Node #0,1: 10:[53, 11, 32] Operation: 60-28=32
Exploring Operation: 60-53=7, Resulting Numbers: [28, 11, 7]
Generated Node #0,2: 10:[28, 11, 7] Operation: 60-53=7
Moving to Node #0,2
Current State: 10:[28, 11, 7], Operations: ['60-53=7']
Exploring Operation: 28-7=21, Resulting Numbers: [11, 21]
Generated Node #0,2,0: 10:[11, 21] Operation: 28-7=21
Exploring Operation: 28-11=17, Resulting Numbers: [7, 17]
Generated Node #0,2,1: 10:[7, 17] Operation: 28-11=17
Exploring Operation: 28/7=4, Resulting Numbers: [11, 4]
Generated Node #0,2,2: 10:[11, 4] Operation: 28/7=4
Moving to Node #0,0
Current State: 10:[60, 11, 25], Operations: ['53-28=25']
Exploring Operation: 60-11=49, Resulting Numbers: [25, 49]
Generated Node #0,0,0: 10:[25, 49] Operation: 60-11=49
Exploring Operation: 60-25=35, Resulting Numbers: [11, 35]
Generated Node #0,0,1: 10:[11, 35] Operation: 60-25=35
Exploring Operation: 25-11=14, Resulting Numbers: [60, 14]
Generated Node #0,0,2: 10:[60, 14] Operation: 25-11=14
Moving to Node #0,1
Current State: 10:[53, 11, 32], Operations: ['60-28=32']
Exploring Operation: 53-11=42, Resulting Numbers: [32, 42]
Generated Node #0,1,0: 10:[32, 42] Operation: 53-11=42
Exploring Operation: 53-32=21, Resulting Numbers: [11, 21]
Generated Node #0,1,1: 10:[11, 21] Operation: 53-32=21
Exploring Operation: 32-11=21, Resulting Numbers: [53, 21]
Generated Node #0,1,2: 10:[53, 21] Operation: 32-11=21
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[11, 21], Operations: ['60-28=32', '53-32=21']
Exploring Operation: 11*21=231, Resulting Numbers: [231]
231,10 unequal: No Solution
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,10 unequal: No Solution
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[53, 28, 60, 11], Operations: []
Exploring Operation: 60-28=32, Resulting Numbers: [53, 11, 32]
Generated Node #0,1: 10:[53, 11, 32] Operation: 60-28=32
Moving to Node #0,1
Current State: 10:[53, 11, 32], Operations: ['60-28=32']
Exploring Operation: 53-32=21, Resulting Numbers: [11, 21]
Generated Node #0,1,1: 10:[11, 21] Operation: 53-32=21
Moving to Node #0,1,1
Current State: 10:[11, 21], Operations: ['60-28=32', '53-32=21']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
93,
83,
41,
88
] | 43 | [
"93+83=176",
"176/88=2",
"41+2=43"
] | Current State: 43:[93, 83, 41, 88], Operations: []
Exploring Operation: 93+83=176, Resulting Numbers: [41, 88, 176]
Generated Node #2: [41, 88, 176] from Operation: 93+83=176
Current State: 43:[41, 88, 176], Operations: ['93+83=176']
Exploring Operation: 176/88=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 176/88=2
Current State: 43:[41, 2], Operations: ['93+83=176', '176/88=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[93, 83, 41, 88], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [41, 88, 10]
Generated Node #0,0: 43:[41, 88, 10] Operation: 93-83=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[41, 88, 10], Operations: ['93-83=10']
Exploring Operation: 88-41=47, Resulting Numbers: [10, 47]
Generated Node #0,0,0: 43:[10, 47] Operation: 88-41=47
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[10, 47], Operations: ['93-83=10', '88-41=47']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
52,
22,
46,
54
] | 57 | [
"54-52=2",
"22/2=11",
"46+11=57"
] | Current State: 57:[52, 22, 46, 54], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [22, 46, 2]
Generated Node #2: [22, 46, 2] from Operation: 54-52=2
Current State: 57:[22, 46, 2], Operations: ['54-52=2']
Exploring Operation: 22/2=11, Resulting Numbers: [46, 11]
Generated Node #3: [46, 11] from Operation: 22/2=11
Current State: 57:[46, 11], Operations: ['54-52=2', '22/2=11']
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[52, 22, 46, 54], Operations: []
Exploring Operation: 46-22=24, Resulting Numbers: [52, 54, 24]
Generated Node #0,0: 57:[52, 54, 24] Operation: 46-22=24
Exploring Operation: 52-46=6, Resulting Numbers: [22, 54, 6]
Generated Node #0,1: 57:[22, 54, 6] Operation: 52-46=6
Exploring Operation: 54-46=8, Resulting Numbers: [52, 22, 8]
Generated Node #0,2: 57:[52, 22, 8] Operation: 54-46=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[22, 54, 6], Operations: ['52-46=6']
Exploring Operation: 54/6=9, Resulting Numbers: [22, 9]
Generated Node #0,1,0: 57:[22, 9] Operation: 54/6=9
Exploring Operation: 54+6=60, Resulting Numbers: [22, 60]
Generated Node #0,1,1: 57:[22, 60] Operation: 54+6=60
Exploring Operation: 22-6=16, Resulting Numbers: [54, 16]
Generated Node #0,1,2: 57:[54, 16] Operation: 22-6=16
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 57:[22, 60], Operations: ['52-46=6', '54+6=60']
Exploring Operation: 22*60=1320, Resulting Numbers: [1320]
1320,57 unequal: No Solution
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,57 unequal: No Solution
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,57 unequal: No Solution
No 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: 57:[54, 16], Operations: ['52-46=6', '22-6=16']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Exploring Operation: 54*16=864, Resulting Numbers: [864]
864,57 unequal: No Solution
Exploring Operation: 54+16=70, Resulting Numbers: [70]
70,57 unequal: No Solution
No 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: 57:[22, 9], Operations: ['52-46=6', '54/6=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,57 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: 57:[52, 54, 24], Operations: ['46-22=24']
Exploring Operation: 54-24=30, Resulting Numbers: [52, 30]
Generated Node #0,0,0: 57:[52, 30] Operation: 54-24=30
Exploring Operation: 52-24=28, Resulting Numbers: [54, 28]
Generated Node #0,0,1: 57:[54, 28] Operation: 52-24=28
Exploring Operation: 54-52=2, Resulting Numbers: [24, 2]
Generated Node #0,0,2: 57:[24, 2] Operation: 54-52=2
Moving to Node #0,0,2
Current State: 57:[24, 2], Operations: ['46-22=24', '54-52=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,57 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[54, 28], Operations: ['46-22=24', '52-24=28']
Exploring Operation: 54+28=82, Resulting Numbers: [82]
82,57 unequal: No Solution
Exploring Operation: 54*28=1512, Resulting Numbers: [1512]
1512,57 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[52, 30], Operations: ['46-22=24', '54-24=30']
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,57 unequal: No Solution
Exploring Operation: 52*30=1560, Resulting Numbers: [1560]
1560,57 unequal: No Solution
No 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: 57:[52, 22, 8], Operations: ['54-46=8']
Exploring Operation: 52+8=60, Resulting Numbers: [22, 60]
Generated Node #0,2,0: 57:[22, 60] Operation: 52+8=60
Exploring Operation: 52-22=30, Resulting Numbers: [8, 30]
Generated Node #0,2,1: 57:[8, 30] Operation: 52-22=30
Exploring Operation: 22-8=14, Resulting Numbers: [52, 14]
Generated Node #0,2,2: 57:[52, 14] Operation: 22-8=14
Moving to Node #0,2,0
Current State: 57:[22, 60], Operations: ['54-46=8', '52+8=60']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,57 unequal: No Solution
Exploring Operation: 22*60=1320, Resulting Numbers: [1320]
1320,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[52, 14], Operations: ['54-46=8', '22-8=14']
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Exploring Operation: 52*14=728, Resulting Numbers: [728]
728,57 unequal: No Solution
Moving to Node #0,2,1
Current State: 57:[8, 30], Operations: ['54-46=8', '52-22=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,57 unequal: No Solution
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
54,
74,
63,
57
] | 65 | [
"63-57=6",
"54/6=9",
"74-9=65"
] | Current State: 65:[54, 74, 63, 57], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [54, 74, 6]
Generated Node #2: [54, 74, 6] from Operation: 63-57=6
Current State: 65:[54, 74, 6], Operations: ['63-57=6']
Exploring Operation: 54/6=9, Resulting Numbers: [74, 9]
Generated Node #3: [74, 9] from Operation: 54/6=9
Current State: 65:[74, 9], Operations: ['63-57=6', '54/6=9']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[54, 74, 63, 57], Operations: []
Exploring Operation: 74-57=17, Resulting Numbers: [54, 63, 17]
Generated Node #0,0: 65:[54, 63, 17] Operation: 74-57=17
Exploring Operation: 74-54=20, Resulting Numbers: [63, 57, 20]
Generated Node #0,1: 65:[63, 57, 20] Operation: 74-54=20
Exploring Operation: 57-54=3, Resulting Numbers: [74, 63, 3]
Generated Node #0,2: 65:[74, 63, 3] Operation: 57-54=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[74, 63, 3], Operations: ['57-54=3']
Exploring Operation: 74-3=71, Resulting Numbers: [63, 71]
Generated Node #0,2,0: 65:[63, 71] Operation: 74-3=71
Exploring Operation: 63+3=66, Resulting Numbers: [74, 66]
Generated Node #0,2,1: 65:[74, 66] Operation: 63+3=66
Exploring Operation: 74-63=11, Resulting Numbers: [3, 11]
Generated Node #0,2,2: 65:[3, 11] Operation: 74-63=11
Moving to Node #0,2,2
Current State: 65:[3, 11], Operations: ['57-54=3', '74-63=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[63, 71], Operations: ['57-54=3', '74-3=71']
Exploring Operation: 71-63=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 63*71=4473, Resulting Numbers: [4473]
4473,65 unequal: No Solution
Exploring Operation: 63+71=134, Resulting Numbers: [134]
134,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[74, 66], Operations: ['57-54=3', '63+3=66']
Exploring Operation: 74*66=4884, Resulting Numbers: [4884]
4884,65 unequal: No Solution
Exploring Operation: 74+66=140, Resulting Numbers: [140]
140,65 unequal: No Solution
Exploring Operation: 74-66=8, Resulting Numbers: [8]
8,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[54, 63, 17], Operations: ['74-57=17']
Exploring Operation: 63-54=9, Resulting Numbers: [17, 9]
Generated Node #0,0,0: 65:[17, 9] Operation: 63-54=9
Exploring Operation: 54+17=71, Resulting Numbers: [63, 71]
Generated Node #0,0,1: 65:[63, 71] Operation: 54+17=71
Exploring Operation: 54-17=37, Resulting Numbers: [63, 37]
Generated Node #0,0,2: 65:[63, 37] Operation: 54-17=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[17, 9], Operations: ['74-57=17', '63-54=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,65 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[63, 71], Operations: ['74-57=17', '54+17=71']
Exploring Operation: 63+71=134, Resulting Numbers: [134]
134,65 unequal: No Solution
Exploring Operation: 71-63=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 63*71=4473, Resulting Numbers: [4473]
4473,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 65:[63, 37], Operations: ['74-57=17', '54-17=37']
Exploring Operation: 63+37=100, Resulting Numbers: [100]
100,65 unequal: No Solution
Exploring Operation: 63*37=2331, Resulting Numbers: [2331]
2331,65 unequal: No Solution
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[63, 57, 20], Operations: ['74-54=20']
Exploring Operation: 63-57=6, Resulting Numbers: [20, 6]
Generated Node #0,1,0: 65:[20, 6] Operation: 63-57=6
Exploring Operation: 63+20=83, Resulting Numbers: [57, 83]
Generated Node #0,1,1: 65:[57, 83] Operation: 63+20=83
Exploring Operation: 57+20=77, Resulting Numbers: [63, 77]
Generated Node #0,1,2: 65:[63, 77] Operation: 57+20=77
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[20, 6], Operations: ['74-54=20', '63-57=6']
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,65 unequal: No Solution
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,65 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 65:[63, 77], Operations: ['74-54=20', '57+20=77']
Exploring Operation: 63+77=140, Resulting Numbers: [140]
140,65 unequal: No Solution
Exploring Operation: 63*77=4851, Resulting Numbers: [4851]
4851,65 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[57, 83], Operations: ['74-54=20', '63+20=83']
Exploring Operation: 83-57=26, Resulting Numbers: [26]
26,65 unequal: No Solution
Exploring Operation: 57+83=140, Resulting Numbers: [140]
140,65 unequal: No Solution
Exploring Operation: 57*83=4731, Resulting Numbers: [4731]
4731,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
20,
37,
19,
41
] | 61 | [
"41-37=4",
"20*4=80",
"80-19=61"
] | Current State: 61:[20, 37, 19, 41], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [20, 19, 4]
Generated Node #2: [20, 19, 4] from Operation: 41-37=4
Current State: 61:[20, 19, 4], Operations: ['41-37=4']
Exploring Operation: 20*4=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 20*4=80
Current State: 61:[19, 80], Operations: ['41-37=4', '20*4=80']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[20, 37, 19, 41], Operations: []
Exploring Operation: 20+19=39, Resulting Numbers: [37, 41, 39]
Generated Node #0,0: 61:[37, 41, 39] Operation: 20+19=39
Exploring Operation: 20+37=57, Resulting Numbers: [19, 41, 57]
Generated Node #0,1: 61:[19, 41, 57] Operation: 20+37=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[37, 41, 39], Operations: ['20+19=39']
Exploring Operation: 37+41=78, Resulting Numbers: [39, 78]
Generated Node #0,0,0: 61:[39, 78] Operation: 37+41=78
Exploring Operation: 37+39=76, Resulting Numbers: [41, 76]
Generated Node #0,0,1: 61:[41, 76] Operation: 37+39=76
Moving to Node #0,0,1
Current State: 61:[41, 76], Operations: ['20+19=39', '37+39=76']
Exploring Operation: 41+76=117, Resulting Numbers: [117]
117,61 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[39, 78], Operations: ['20+19=39', '37+41=78']
Exploring Operation: 39+78=117, Resulting Numbers: [117]
117,61 unequal: No Solution
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,61 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
Current State: 61:[19, 41, 57], Operations: ['20+37=57']
Exploring Operation: 19+41=60, Resulting Numbers: [57, 60]
Generated Node #0,1,0: 61:[57, 60] Operation: 19+41=60
Exploring Operation: 19+57=76, Resulting Numbers: [41, 76]
Generated Node #0,1,1: 61:[41, 76] Operation: 19+57=76
Moving to Node #0,1,0
Current State: 61:[57, 60], Operations: ['20+37=57', '19+41=60']
Exploring Operation: 60-57=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 57+60=117, Resulting Numbers: [117]
117,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[41, 76], Operations: ['20+37=57', '19+57=76']
Exploring Operation: 41+76=117, Resulting Numbers: [117]
117,61 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
12,
24,
60,
47
] | 45 | [
"60-12=48",
"48/24=2",
"47-2=45"
] | Current State: 45:[12, 24, 60, 47], Operations: []
Exploring Operation: 60-12=48, Resulting Numbers: [24, 47, 48]
Generated Node #2: [24, 47, 48] from Operation: 60-12=48
Current State: 45:[24, 47, 48], Operations: ['60-12=48']
Exploring Operation: 48/24=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 48/24=2
Current State: 45:[47, 2], Operations: ['60-12=48', '48/24=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[12, 24, 60, 47], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [24, 47, 5]
Generated Node #0,0: 45:[24, 47, 5] Operation: 60/12=5
Exploring Operation: 60-12=48, Resulting Numbers: [24, 47, 48]
Generated Node #0,1: 45:[24, 47, 48] Operation: 60-12=48
Exploring Operation: 60-24=36, Resulting Numbers: [12, 47, 36]
Generated Node #0,2: 45:[12, 47, 36] Operation: 60-24=36
Exploring Operation: 60-47=13, Resulting Numbers: [12, 24, 13]
Generated Node #0,3: 45:[12, 24, 13] Operation: 60-47=13
Moving to Node #0,0
Current State: 45:[24, 47, 5], Operations: ['60/12=5']
Exploring Operation: 24-5=19, Resulting Numbers: [47, 19]
Generated Node #0,0,0: 45:[47, 19] Operation: 24-5=19
Exploring Operation: 47-24=23, Resulting Numbers: [5, 23]
Generated Node #0,0,1: 45:[5, 23] Operation: 47-24=23
Exploring Operation: 24+5=29, Resulting Numbers: [47, 29]
Generated Node #0,0,2: 45:[47, 29] Operation: 24+5=29
Exploring Operation: 47-5=42, Resulting Numbers: [24, 42]
Generated Node #0,0,3: 45:[24, 42] Operation: 47-5=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[47, 19], Operations: ['60/12=5', '24-5=19']
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,45 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:[5, 23], Operations: ['60/12=5', '47-24=23']
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,45 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,45 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:[24, 42], Operations: ['60/12=5', '47-5=42']
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,45 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,45 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 #0,0,2
Current State: 45:[47, 29], Operations: ['60/12=5', '24+5=29']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 47*29=1363, Resulting Numbers: [1363]
1363,45 unequal: No Solution
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,45 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: 45:[12, 47, 36], Operations: ['60-24=36']
Exploring Operation: 12+36=48, Resulting Numbers: [47, 48]
Generated Node #0,2,0: 45:[47, 48] Operation: 12+36=48
Exploring Operation: 36-12=24, Resulting Numbers: [47, 24]
Generated Node #0,2,1: 45:[47, 24] Operation: 36-12=24
Exploring Operation: 47-36=11, Resulting Numbers: [12, 11]
Generated Node #0,2,2: 45:[12, 11] Operation: 47-36=11
Exploring Operation: 36/12=3, Resulting Numbers: [47, 3]
Generated Node #0,2,3: 45:[47, 3] Operation: 36/12=3
Moving to Node #0,1
Current State: 45:[24, 47, 48], Operations: ['60-12=48']
Exploring Operation: 48-24=24, Resulting Numbers: [47, 24]
Generated Node #0,1,0: 45:[47, 24] Operation: 48-24=24
Exploring Operation: 48/24=2, Resulting Numbers: [47, 2]
Generated Node #0,1,1: 45:[47, 2] Operation: 48/24=2
Exploring Operation: 47-24=23, Resulting Numbers: [48, 23]
Generated Node #0,1,2: 45:[48, 23] Operation: 47-24=23
Exploring Operation: 48-47=1, Resulting Numbers: [24, 1]
Generated Node #0,1,3: 45:[24, 1] Operation: 48-47=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[47, 2], Operations: ['60-12=48', '48/24=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,45 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,45 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[12, 24, 60, 47], Operations: []
Exploring Operation: 60-12=48, Resulting Numbers: [24, 47, 48]
Generated Node #0,1: 45:[24, 47, 48] Operation: 60-12=48
Moving to Node #0,1
Current State: 45:[24, 47, 48], Operations: ['60-12=48']
Exploring Operation: 48/24=2, Resulting Numbers: [47, 2]
Generated Node #0,1,1: 45:[47, 2] Operation: 48/24=2
Moving to Node #0,1,1
Current State: 45:[47, 2], Operations: ['60-12=48', '48/24=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | mult_heuristic |
[
5,
93,
86,
17
] | 78 | [
"5*17=85",
"93-86=7",
"85-7=78"
] | Current State: 78:[5, 93, 86, 17], Operations: []
Exploring Operation: 5*17=85, Resulting Numbers: [93, 86, 85]
Generated Node #2: [93, 86, 85] from Operation: 5*17=85
Current State: 78:[93, 86, 85], Operations: ['5*17=85']
Exploring Operation: 93-86=7, Resulting Numbers: [85, 7]
Generated Node #3: [85, 7] from Operation: 93-86=7
Current State: 78:[85, 7], Operations: ['5*17=85', '93-86=7']
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[5, 93, 86, 17], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [5, 17, 7]
Generated Node #0,0: 78:[5, 17, 7] Operation: 93-86=7
Moving to Node #0,0
Current State: 78:[5, 17, 7], Operations: ['93-86=7']
Exploring Operation: 17-5=12, Resulting Numbers: [7, 12]
Generated Node #0,0,0: 78:[7, 12] Operation: 17-5=12
Moving to Node #0,0,0
Current State: 78:[7, 12], Operations: ['93-86=7', '17-5=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,78 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
62,
47,
60,
6
] | 69 | [
"62-47=15",
"60-6=54",
"15+54=69"
] | Current State: 69:[62, 47, 60, 6], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [60, 6, 15]
Generated Node #2: [60, 6, 15] from Operation: 62-47=15
Current State: 69:[60, 6, 15], Operations: ['62-47=15']
Exploring Operation: 60-6=54, Resulting Numbers: [15, 54]
Generated Node #3: [15, 54] from Operation: 60-6=54
Current State: 69:[15, 54], Operations: ['62-47=15', '60-6=54']
Exploring Operation: 15+54=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[62, 47, 60, 6], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [60, 6, 15]
Generated Node #0,0: 69:[60, 6, 15] Operation: 62-47=15
Exploring Operation: 60-47=13, Resulting Numbers: [62, 6, 13]
Generated Node #0,1: 69:[62, 6, 13] Operation: 60-47=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[60, 6, 15], Operations: ['62-47=15']
Exploring Operation: 60+15=75, Resulting Numbers: [6, 75]
Generated Node #0,0,0: 69:[6, 75] Operation: 60+15=75
Exploring Operation: 60/15=4, Resulting Numbers: [6, 4]
Generated Node #0,0,1: 69:[6, 4] Operation: 60/15=4
Moving to Node #0,0,1
Current State: 69:[6, 4], Operations: ['62-47=15', '60/15=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[6, 75], Operations: ['62-47=15', '60+15=75']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[62, 47, 60, 6], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [60, 6, 15]
Generated Node #0,0: 69:[60, 6, 15] Operation: 62-47=15
Moving to Node #0,0
Current State: 69:[60, 6, 15], Operations: ['62-47=15']
Exploring Operation: 60+15=75, Resulting Numbers: [6, 75]
Generated Node #0,0,0: 69:[6, 75] Operation: 60+15=75
Moving to Node #0,0,0
Current State: 69:[6, 75], Operations: ['62-47=15', '60+15=75']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
17,
43,
81,
3
] | 53 | [
"43-17=26",
"81/3=27",
"26+27=53"
] | Current State: 53:[17, 43, 81, 3], Operations: []
Exploring Operation: 43-17=26, Resulting Numbers: [81, 3, 26]
Generated Node #2: [81, 3, 26] from Operation: 43-17=26
Current State: 53:[81, 3, 26], Operations: ['43-17=26']
Exploring Operation: 81/3=27, Resulting Numbers: [26, 27]
Generated Node #3: [26, 27] from Operation: 81/3=27
Current State: 53:[26, 27], Operations: ['43-17=26', '81/3=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[17, 43, 81, 3], Operations: []
Exploring Operation: 17*3=51, Resulting Numbers: [43, 81, 51]
Generated Node #0,0: 53:[43, 81, 51] Operation: 17*3=51
Exploring Operation: 81-17=64, Resulting Numbers: [43, 3, 64]
Generated Node #0,1: 53:[43, 3, 64] Operation: 81-17=64
Exploring Operation: 17+3=20, Resulting Numbers: [43, 81, 20]
Generated Node #0,2: 53:[43, 81, 20] Operation: 17+3=20
Exploring Operation: 43+3=46, Resulting Numbers: [17, 81, 46]
Generated Node #0,3: 53:[17, 81, 46] Operation: 43+3=46
Exploring Operation: 81-3=78, Resulting Numbers: [17, 43, 78]
Generated Node #0,4: 53:[17, 43, 78] Operation: 81-3=78
Moving to Node #0,0
Current State: 53:[43, 81, 51], Operations: ['17*3=51']
Exploring Operation: 43+51=94, Resulting Numbers: [81, 94]
Generated Node #0,0,0: 53:[81, 94] Operation: 43+51=94
Exploring Operation: 43+81=124, Resulting Numbers: [51, 124]
Generated Node #0,0,1: 53:[51, 124] Operation: 43+81=124
Exploring Operation: 81-51=30, Resulting Numbers: [43, 30]
Generated Node #0,0,2: 53:[43, 30] Operation: 81-51=30
Exploring Operation: 81-43=38, Resulting Numbers: [51, 38]
Generated Node #0,0,3: 53:[51, 38] Operation: 81-43=38
Exploring Operation: 51-43=8, Resulting Numbers: [81, 8]
Generated Node #0,0,4: 53:[81, 8] Operation: 51-43=8
Moving to Node #0,2
Current State: 53:[43, 81, 20], Operations: ['17+3=20']
Exploring Operation: 43+20=63, Resulting Numbers: [81, 63]
Generated Node #0,2,0: 53:[81, 63] Operation: 43+20=63
Exploring Operation: 81-43=38, Resulting Numbers: [20, 38]
Generated Node #0,2,1: 53:[20, 38] Operation: 81-43=38
Exploring Operation: 81-20=61, Resulting Numbers: [43, 61]
Generated Node #0,2,2: 53:[43, 61] Operation: 81-20=61
Exploring Operation: 81+20=101, Resulting Numbers: [43, 101]
Generated Node #0,2,3: 53:[43, 101] Operation: 81+20=101
Exploring Operation: 43-20=23, Resulting Numbers: [81, 23]
Generated Node #0,2,4: 53:[81, 23] Operation: 43-20=23
Moving to Node #0,4
Current State: 53:[17, 43, 78], Operations: ['81-3=78']
Exploring Operation: 17+43=60, Resulting Numbers: [78, 60]
Generated Node #0,4,0: 53:[78, 60] Operation: 17+43=60
Exploring Operation: 43-17=26, Resulting Numbers: [78, 26]
Generated Node #0,4,1: 53:[78, 26] Operation: 43-17=26
Exploring Operation: 78-43=35, Resulting Numbers: [17, 35]
Generated Node #0,4,2: 53:[17, 35] Operation: 78-43=35
Exploring Operation: 17+78=95, Resulting Numbers: [43, 95]
Generated Node #0,4,3: 53:[43, 95] Operation: 17+78=95
Exploring Operation: 78-17=61, Resulting Numbers: [43, 61]
Generated Node #0,4,4: 53:[43, 61] Operation: 78-17=61
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 53:[43, 61], Operations: ['81-3=78', '78-17=61']
Exploring Operation: 43*61=2623, Resulting Numbers: [2623]
2623,53 unequal: No Solution
Exploring Operation: 43+61=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,53 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 #0,4,0
Current State: 53:[78, 60], Operations: ['81-3=78', '17+43=60']
Exploring Operation: 78+60=138, Resulting Numbers: [138]
138,53 unequal: No Solution
Exploring Operation: 78*60=4680, Resulting Numbers: [4680]
4680,53 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,53 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 #0,4,1
Current State: 53:[78, 26], Operations: ['81-3=78', '43-17=26']
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 78*26=2028, Resulting Numbers: [2028]
2028,53 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 78/26=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 #0,4,3
Current State: 53:[43, 95], Operations: ['81-3=78', '17+78=95']
Exploring Operation: 43+95=138, Resulting Numbers: [138]
138,53 unequal: No Solution
Exploring Operation: 43*95=4085, Resulting Numbers: [4085]
4085,53 unequal: No Solution
Exploring Operation: 95-43=52, Resulting Numbers: [52]
52,53 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 #0,4,2
Current State: 53:[17, 35], Operations: ['81-3=78', '78-43=35']
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 17*35=595, Resulting Numbers: [595]
595,53 unequal: No Solution
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,53 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:[43, 3, 64], Operations: ['81-17=64']
Exploring Operation: 3+64=67, Resulting Numbers: [43, 67]
Generated Node #0,1,0: 53:[43, 67] Operation: 3+64=67
Exploring Operation: 64-43=21, Resulting Numbers: [3, 21]
Generated Node #0,1,1: 53:[3, 21] Operation: 64-43=21
Exploring Operation: 43+3=46, Resulting Numbers: [64, 46]
Generated Node #0,1,2: 53:[64, 46] Operation: 43+3=46
Exploring Operation: 64-3=61, Resulting Numbers: [43, 61]
Generated Node #0,1,3: 53:[43, 61] Operation: 64-3=61
Exploring Operation: 43-3=40, Resulting Numbers: [64, 40]
Generated Node #0,1,4: 53:[64, 40] Operation: 43-3=40
Moving to Node #0,3
Current State: 53:[17, 81, 46], Operations: ['43+3=46']
Exploring Operation: 46-17=29, Resulting Numbers: [81, 29]
Generated Node #0,3,0: 53:[81, 29] Operation: 46-17=29
Exploring Operation: 81-17=64, Resulting Numbers: [46, 64]
Generated Node #0,3,1: 53:[46, 64] Operation: 81-17=64
Exploring Operation: 17+81=98, Resulting Numbers: [46, 98]
Generated Node #0,3,2: 53:[46, 98] Operation: 17+81=98
Exploring Operation: 17+46=63, Resulting Numbers: [81, 63]
Generated Node #0,3,3: 53:[81, 63] Operation: 17+46=63
Exploring Operation: 81-46=35, Resulting Numbers: [17, 35]
Generated Node #0,3,4: 53:[17, 35] Operation: 81-46=35
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 53:[46, 64], Operations: ['43+3=46', '81-17=64']
Exploring Operation: 46+64=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 46*64=2944, Resulting Numbers: [2944]
2944,53 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 #0,3,3
Current State: 53:[81, 63], Operations: ['43+3=46', '17+46=63']
Exploring Operation: 81-63=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 81+63=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 81*63=5103, Resulting Numbers: [5103]
5103,53 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 #0,3,0
Current State: 53:[81, 29], Operations: ['43+3=46', '46-17=29']
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 81+29=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Exploring Operation: 81*29=2349, Resulting Numbers: [2349]
2349,53 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 #0,3,2
Current State: 53:[46, 98], Operations: ['43+3=46', '17+81=98']
Exploring Operation: 46*98=4508, Resulting Numbers: [4508]
4508,53 unequal: No Solution
Exploring Operation: 46+98=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,53 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 #0,3,4
Current State: 53:[17, 35], Operations: ['43+3=46', '81-46=35']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 17*35=595, Resulting Numbers: [595]
595,53 unequal: No Solution
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 53:[51, 38], Operations: ['17*3=51', '81-43=38']
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[43, 61], Operations: ['17+3=20', '81-20=61']
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 43+61=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 43*61=2623, Resulting Numbers: [2623]
2623,53 unequal: No Solution
Moving to Node #0,1,3
Current State: 53:[43, 61], Operations: ['81-17=64', '64-3=61']
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 43*61=2623, Resulting Numbers: [2623]
2623,53 unequal: No Solution
Exploring Operation: 43+61=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[64, 46], Operations: ['81-17=64', '43+3=46']
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 64+46=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Exploring Operation: 64*46=2944, Resulting Numbers: [2944]
2944,53 unequal: No Solution
Moving to Node #0,1,4
Current State: 53:[64, 40], Operations: ['81-17=64', '43-3=40']
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 64*40=2560, Resulting Numbers: [2560]
2560,53 unequal: No Solution
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[43, 67], Operations: ['81-17=64', '3+64=67']
Exploring Operation: 43*67=2881, Resulting Numbers: [2881]
2881,53 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,53 unequal: No Solution
Exploring Operation: 43+67=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[43, 30], Operations: ['17*3=51', '81-51=30']
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 43*30=1290, Resulting Numbers: [1290]
1290,53 unequal: No Solution
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[81, 63], Operations: ['17+3=20', '43+20=63']
Exploring Operation: 81-63=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 81+63=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 81*63=5103, Resulting Numbers: [5103]
5103,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[20, 38], Operations: ['17+3=20', '81-43=38']
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,53 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Moving to Node #0,2,4
Current State: 53:[81, 23], Operations: ['17+3=20', '43-20=23']
Exploring Operation: 81+23=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 81*23=1863, Resulting Numbers: [1863]
1863,53 unequal: No Solution
Exploring Operation: 81-23=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Moving to Node #0,2,3
Current State: 53:[43, 101], Operations: ['17+3=20', '81+20=101']
Exploring Operation: 43+101=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 43*101=4343, Resulting Numbers: [4343]
4343,53 unequal: No Solution
Exploring Operation: 101-43=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[81, 94], Operations: ['17*3=51', '43+51=94']
Exploring Operation: 94-81=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 81*94=7614, Resulting Numbers: [7614]
7614,53 unequal: No Solution
Exploring Operation: 81+94=175, Resulting Numbers: [175]
175,53 unequal: No Solution
Moving to Node #0,0,4
Current State: 53:[81, 8], Operations: ['17*3=51', '51-43=8']
Exploring Operation: 81*8=648, Resulting Numbers: [648]
648,53 unequal: No Solution
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[51, 124], Operations: ['17*3=51', '43+81=124']
Exploring Operation: 124-51=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 51*124=6324, Resulting Numbers: [6324]
6324,53 unequal: No Solution
Exploring Operation: 51+124=175, Resulting Numbers: [175]
175,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[3, 21], Operations: ['81-17=64', '64-43=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,53 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,53 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,53 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
26,
17,
28,
74
] | 98 | [
"17+74=91",
"28*91=2548",
"2548/26=98"
] | Current State: 98:[26, 17, 28, 74], Operations: []
Exploring Operation: 17+74=91, Resulting Numbers: [26, 28, 91]
Generated Node #2: [26, 28, 91] from Operation: 17+74=91
Current State: 98:[26, 28, 91], Operations: ['17+74=91']
Exploring Operation: 28*91=2548, Resulting Numbers: [26, 2548]
Generated Node #3: [26, 2548] from Operation: 28*91=2548
Current State: 98:[26, 2548], Operations: ['17+74=91', '28*91=2548']
Exploring Operation: 2548/26=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[26, 17, 28, 74], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [17, 28, 48]
Generated Node #0,0: 98:[17, 28, 48] Operation: 74-26=48
Exploring Operation: 74-28=46, Resulting Numbers: [26, 17, 46]
Generated Node #0,1: 98:[26, 17, 46] Operation: 74-28=46
Exploring Operation: 28-26=2, Resulting Numbers: [17, 74, 2]
Generated Node #0,2: 98:[17, 74, 2] Operation: 28-26=2
Exploring Operation: 28+74=102, Resulting Numbers: [26, 17, 102]
Generated Node #0,3: 98:[26, 17, 102] Operation: 28+74=102
Exploring Operation: 26+74=100, Resulting Numbers: [17, 28, 100]
Generated Node #0,4: 98:[17, 28, 100] Operation: 26+74=100
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[17, 28, 48], Operations: ['74-26=48']
Exploring Operation: 17+28=45, Resulting Numbers: [48, 45]
Generated Node #0,0,0: 98:[48, 45] Operation: 17+28=45
Exploring Operation: 28+48=76, Resulting Numbers: [17, 76]
Generated Node #0,0,1: 98:[17, 76] Operation: 28+48=76
Exploring Operation: 17+48=65, Resulting Numbers: [28, 65]
Generated Node #0,0,2: 98:[28, 65] Operation: 17+48=65
Exploring Operation: 48-28=20, Resulting Numbers: [17, 20]
Generated Node #0,0,3: 98:[17, 20] Operation: 48-28=20
Exploring Operation: 28-17=11, Resulting Numbers: [48, 11]
Generated Node #0,0,4: 98:[48, 11] Operation: 28-17=11
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 98:[48, 11], Operations: ['74-26=48', '28-17=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,98 unequal: No Solution
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[48, 45], Operations: ['74-26=48', '17+28=45']
Exploring Operation: 48+45=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 48*45=2160, Resulting Numbers: [2160]
2160,98 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 98:[17, 20], Operations: ['74-26=48', '48-28=20']
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,98 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,98 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[17, 76], Operations: ['74-26=48', '28+48=76']
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[28, 65], Operations: ['74-26=48', '17+48=65']
Exploring Operation: 28*65=1820, Resulting Numbers: [1820]
1820,98 unequal: No Solution
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,98 unequal: No Solution
Exploring Operation: 28+65=93, Resulting Numbers: [93]
93,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[26, 17, 46], Operations: ['74-28=46']
Exploring Operation: 26+17=43, Resulting Numbers: [46, 43]
Generated Node #0,1,0: 98:[46, 43] Operation: 26+17=43
Exploring Operation: 26+46=72, Resulting Numbers: [17, 72]
Generated Node #0,1,1: 98:[17, 72] Operation: 26+46=72
Exploring Operation: 26-17=9, Resulting Numbers: [46, 9]
Generated Node #0,1,2: 98:[46, 9] Operation: 26-17=9
Exploring Operation: 46-26=20, Resulting Numbers: [17, 20]
Generated Node #0,1,3: 98:[17, 20] Operation: 46-26=20
Exploring Operation: 17+46=63, Resulting Numbers: [26, 63]
Generated Node #0,1,4: 98:[26, 63] Operation: 17+46=63
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 98:[46, 9], Operations: ['74-28=46', '26-17=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Exploring Operation: 46*9=414, Resulting Numbers: [414]
414,98 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 98:[46, 43], Operations: ['74-28=46', '26+17=43']
Exploring Operation: 46*43=1978, Resulting Numbers: [1978]
1978,98 unequal: No Solution
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 98:[17, 20], Operations: ['74-28=46', '46-26=20']
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,98 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 98:[17, 72], Operations: ['74-28=46', '26+46=72']
Exploring Operation: 17*72=1224, Resulting Numbers: [1224]
1224,98 unequal: No Solution
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Exploring Operation: 17+72=89, Resulting Numbers: [89]
89,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 98:[26, 63], Operations: ['74-28=46', '17+46=63']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,98 unequal: No Solution
Exploring Operation: 26+63=89, Resulting Numbers: [89]
89,98 unequal: No Solution
Exploring Operation: 26*63=1638, Resulting Numbers: [1638]
1638,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[26, 17, 102], Operations: ['28+74=102']
Exploring Operation: 102-17=85, Resulting Numbers: [26, 85]
Generated Node #0,3,0: 98:[26, 85] Operation: 102-17=85
Exploring Operation: 102-26=76, Resulting Numbers: [17, 76]
Generated Node #0,3,1: 98:[17, 76] Operation: 102-26=76
Exploring Operation: 102/17=6, Resulting Numbers: [26, 6]
Generated Node #0,3,2: 98:[26, 6] Operation: 102/17=6
Exploring Operation: 26-17=9, Resulting Numbers: [102, 9]
Generated Node #0,3,3: 98:[102, 9] Operation: 26-17=9
Exploring Operation: 26+17=43, Resulting Numbers: [102, 43]
Generated Node #0,3,4: 98:[102, 43] Operation: 26+17=43
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 98:[102, 9], Operations: ['28+74=102', '26-17=9']
Exploring Operation: 102*9=918, Resulting Numbers: [918]
918,98 unequal: No Solution
Exploring Operation: 102-9=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 102+9=111, Resulting Numbers: [111]
111,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 98:[102, 43], Operations: ['28+74=102', '26+17=43']
Exploring Operation: 102-43=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 102*43=4386, Resulting Numbers: [4386]
4386,98 unequal: No Solution
Exploring Operation: 102+43=145, Resulting Numbers: [145]
145,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 98:[26, 6], Operations: ['28+74=102', '102/17=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,98 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 98:[26, 85], Operations: ['28+74=102', '102-17=85']
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,98 unequal: No Solution
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,98 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 98:[17, 76], Operations: ['28+74=102', '102-26=76']
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,98 unequal: No Solution
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 98:[17, 28, 100], Operations: ['26+74=100']
Exploring Operation: 100-28=72, Resulting Numbers: [17, 72]
Generated Node #0,4,0: 98:[17, 72] Operation: 100-28=72
Exploring Operation: 100-17=83, Resulting Numbers: [28, 83]
Generated Node #0,4,1: 98:[28, 83] Operation: 100-17=83
Exploring Operation: 17+28=45, Resulting Numbers: [100, 45]
Generated Node #0,4,2: 98:[100, 45] Operation: 17+28=45
Exploring Operation: 28-17=11, Resulting Numbers: [100, 11]
Generated Node #0,4,3: 98:[100, 11] Operation: 28-17=11
Exploring Operation: 17+100=117, Resulting Numbers: [28, 117]
Generated Node #0,4,4: 98:[28, 117] Operation: 17+100=117
Moving to Node #0,4,3
Current State: 98:[100, 11], Operations: ['26+74=100', '28-17=11']
Exploring Operation: 100*11=1100, Resulting Numbers: [1100]
1100,98 unequal: No Solution
Exploring Operation: 100-11=89, Resulting Numbers: [89]
89,98 unequal: No Solution
Exploring Operation: 100+11=111, Resulting Numbers: [111]
111,98 unequal: No Solution
Moving to Node #0,4,2
Current State: 98:[100, 45], Operations: ['26+74=100', '17+28=45']
Exploring Operation: 100*45=4500, Resulting Numbers: [4500]
4500,98 unequal: No Solution
Exploring Operation: 100+45=145, Resulting Numbers: [145]
145,98 unequal: No Solution
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Moving to Node #0,4,0
Current State: 98:[17, 72], Operations: ['26+74=100', '100-28=72']
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Exploring Operation: 17*72=1224, Resulting Numbers: [1224]
1224,98 unequal: No Solution
Exploring Operation: 17+72=89, Resulting Numbers: [89]
89,98 unequal: No Solution
Moving to Node #0,4,1
Current State: 98:[28, 83], Operations: ['26+74=100', '100-17=83']
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Exploring Operation: 28+83=111, Resulting Numbers: [111]
111,98 unequal: No Solution
Exploring Operation: 28*83=2324, Resulting Numbers: [2324]
2324,98 unequal: No Solution
Moving to Node #0,4,4
Current State: 98:[28, 117], Operations: ['26+74=100', '17+100=117']
Exploring Operation: 117-28=89, Resulting Numbers: [89]
89,98 unequal: No Solution
Exploring Operation: 28+117=145, Resulting Numbers: [145]
145,98 unequal: No Solution
Exploring Operation: 28*117=3276, Resulting Numbers: [3276]
3276,98 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 #0,2
Current State: 98:[17, 74, 2], Operations: ['28-26=2']
Exploring Operation: 74/2=37, Resulting Numbers: [17, 37]
Generated Node #0,2,0: 98:[17, 37] Operation: 74/2=37
Exploring Operation: 17+74=91, Resulting Numbers: [2, 91]
Generated Node #0,2,1: 98:[2, 91] Operation: 17+74=91
Exploring Operation: 74+2=76, Resulting Numbers: [17, 76]
Generated Node #0,2,2: 98:[17, 76] Operation: 74+2=76
Exploring Operation: 74-17=57, Resulting Numbers: [2, 57]
Generated Node #0,2,3: 98:[2, 57] Operation: 74-17=57
Exploring Operation: 17-2=15, Resulting Numbers: [74, 15]
Generated Node #0,2,4: 98:[74, 15] Operation: 17-2=15
Moving to Node #0,2,1
Current State: 98:[2, 91], Operations: ['28-26=2', '17+74=91']
Exploring Operation: 2*91=182, Resulting Numbers: [182]
182,98 unequal: No Solution
Exploring Operation: 2+91=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[2, 57], Operations: ['28-26=2', '74-17=57']
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,98 unequal: No Solution
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[17, 37], Operations: ['28-26=2', '74/2=37']
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Exploring Operation: 17*37=629, Resulting Numbers: [629]
629,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[17, 76], Operations: ['28-26=2', '74+2=76']
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,98 unequal: No Solution
Moving to Node #0,2,4
Current State: 98:[74, 15], Operations: ['28-26=2', '17-2=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,98 unequal: No Solution
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,98 unequal: No Solution
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
50,
76,
69,
18
] | 39 | [
"50+76=126",
"69+18=87",
"126-87=39"
] | Current State: 39:[50, 76, 69, 18], Operations: []
Exploring Operation: 50+76=126, Resulting Numbers: [69, 18, 126]
Generated Node #2: [69, 18, 126] from Operation: 50+76=126
Current State: 39:[69, 18, 126], Operations: ['50+76=126']
Exploring Operation: 69+18=87, Resulting Numbers: [126, 87]
Generated Node #3: [126, 87] from Operation: 69+18=87
Current State: 39:[126, 87], Operations: ['50+76=126', '69+18=87']
Exploring Operation: 126-87=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[50, 76, 69, 18], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [50, 18, 7]
Generated Node #0,0: 39:[50, 18, 7] Operation: 76-69=7
Moving to Node #0,0
Current State: 39:[50, 18, 7], Operations: ['76-69=7']
Exploring Operation: 50-7=43, Resulting Numbers: [18, 43]
Generated Node #0,0,0: 39:[18, 43] Operation: 50-7=43
Moving to Node #0,0,0
Current State: 39:[18, 43], Operations: ['76-69=7', '50-7=43']
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,39 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
98,
61,
89
] | 73 | [
"3+98=101",
"89-61=28",
"101-28=73"
] | Current State: 73:[3, 98, 61, 89], Operations: []
Exploring Operation: 3+98=101, Resulting Numbers: [61, 89, 101]
Generated Node #2: [61, 89, 101] from Operation: 3+98=101
Current State: 73:[61, 89, 101], Operations: ['3+98=101']
Exploring Operation: 89-61=28, Resulting Numbers: [101, 28]
Generated Node #3: [101, 28] from Operation: 89-61=28
Current State: 73:[101, 28], Operations: ['3+98=101', '89-61=28']
Exploring Operation: 101-28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[3, 98, 61, 89], Operations: []
Exploring Operation: 98-3=95, Resulting Numbers: [61, 89, 95]
Generated Node #0,0: 73:[61, 89, 95] Operation: 98-3=95
Moving to Node #0,0
Current State: 73:[61, 89, 95], Operations: ['98-3=95']
Exploring Operation: 95-61=34, Resulting Numbers: [89, 34]
Generated Node #0,0,0: 73:[89, 34] Operation: 95-61=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[89, 34], Operations: ['98-3=95', '95-61=34']
Exploring Operation: 89-34=55, Resulting Numbers: [55]
55,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
51,
44,
16,
59
] | 50 | [
"51-44=7",
"59-16=43",
"7+43=50"
] | Current State: 50:[51, 44, 16, 59], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [16, 59, 7]
Generated Node #2: [16, 59, 7] from Operation: 51-44=7
Current State: 50:[16, 59, 7], Operations: ['51-44=7']
Exploring Operation: 59-16=43, Resulting Numbers: [7, 43]
Generated Node #3: [7, 43] from Operation: 59-16=43
Current State: 50:[7, 43], Operations: ['51-44=7', '59-16=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[51, 44, 16, 59], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [16, 59, 7]
Generated Node #0,0: 50:[16, 59, 7] Operation: 51-44=7
Exploring Operation: 59-44=15, Resulting Numbers: [51, 16, 15]
Generated Node #0,1: 50:[51, 16, 15] Operation: 59-44=15
Exploring Operation: 44-16=28, Resulting Numbers: [51, 59, 28]
Generated Node #0,2: 50:[51, 59, 28] Operation: 44-16=28
Exploring Operation: 59-16=43, Resulting Numbers: [51, 44, 43]
Generated Node #0,3: 50:[51, 44, 43] Operation: 59-16=43
Exploring Operation: 59-51=8, Resulting Numbers: [44, 16, 8]
Generated Node #0,4: 50:[44, 16, 8] Operation: 59-51=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[51, 16, 15], Operations: ['59-44=15']
Exploring Operation: 16+15=31, Resulting Numbers: [51, 31]
Generated Node #0,1,0: 50:[51, 31] Operation: 16+15=31
Exploring Operation: 51+16=67, Resulting Numbers: [15, 67]
Generated Node #0,1,1: 50:[15, 67] Operation: 51+16=67
Exploring Operation: 51-15=36, Resulting Numbers: [16, 36]
Generated Node #0,1,2: 50:[16, 36] Operation: 51-15=36
Exploring Operation: 16-15=1, Resulting Numbers: [51, 1]
Generated Node #0,1,3: 50:[51, 1] Operation: 16-15=1
Exploring Operation: 51-16=35, Resulting Numbers: [15, 35]
Generated Node #0,1,4: 50:[15, 35] Operation: 51-16=35
Moving to Node #0,1,3
Current State: 50:[51, 1], Operations: ['59-44=15', '16-15=1']
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[51, 44, 16, 59], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [51, 16, 15]
Generated Node #0,1: 50:[51, 16, 15] Operation: 59-44=15
Moving to Node #0,1
Current State: 50:[51, 16, 15], Operations: ['59-44=15']
Exploring Operation: 16-15=1, Resulting Numbers: [51, 1]
Generated Node #0,1,3: 50:[51, 1] Operation: 16-15=1
Moving to Node #0,1,3
Current State: 50:[51, 1], Operations: ['59-44=15', '16-15=1']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
86,
91,
75,
40
] | 62 | [
"86+91=177",
"75+40=115",
"177-115=62"
] | Current State: 62:[86, 91, 75, 40], Operations: []
Exploring Operation: 86+91=177, Resulting Numbers: [75, 40, 177]
Generated Node #2: [75, 40, 177] from Operation: 86+91=177
Current State: 62:[75, 40, 177], Operations: ['86+91=177']
Exploring Operation: 75+40=115, Resulting Numbers: [177, 115]
Generated Node #3: [177, 115] from Operation: 75+40=115
Current State: 62:[177, 115], Operations: ['86+91=177', '75+40=115']
Exploring Operation: 177-115=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[86, 91, 75, 40], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [86, 40, 16]
Generated Node #0,0: 62:[86, 40, 16] Operation: 91-75=16
Exploring Operation: 86-75=11, Resulting Numbers: [91, 40, 11]
Generated Node #0,1: 62:[91, 40, 11] Operation: 86-75=11
Exploring Operation: 91-86=5, Resulting Numbers: [75, 40, 5]
Generated Node #0,2: 62:[75, 40, 5] Operation: 91-86=5
Exploring Operation: 91-40=51, Resulting Numbers: [86, 75, 51]
Generated Node #0,3: 62:[86, 75, 51] Operation: 91-40=51
Exploring Operation: 86-40=46, Resulting Numbers: [91, 75, 46]
Generated Node #0,4: 62:[91, 75, 46] Operation: 86-40=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[75, 40, 5], Operations: ['91-86=5']
Exploring Operation: 75-5=70, Resulting Numbers: [40, 70]
Generated Node #0,2,0: 62:[40, 70] Operation: 75-5=70
Exploring Operation: 75-40=35, Resulting Numbers: [5, 35]
Generated Node #0,2,1: 62:[5, 35] Operation: 75-40=35
Exploring Operation: 40-5=35, Resulting Numbers: [75, 35]
Generated Node #0,2,2: 62:[75, 35] Operation: 40-5=35
Exploring Operation: 40/5=8, Resulting Numbers: [75, 8]
Generated Node #0,2,3: 62:[75, 8] Operation: 40/5=8
Exploring Operation: 75/5=15, Resulting Numbers: [40, 15]
Generated Node #0,2,4: 62:[40, 15] Operation: 75/5=15
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 62:[5, 35], Operations: ['91-86=5', '75-40=35']
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 5*35=175, Resulting Numbers: [175]
175,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[40, 70], Operations: ['91-86=5', '75-5=70']
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,62 unequal: No Solution
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[75, 35], Operations: ['91-86=5', '40-5=35']
Exploring Operation: 75+35=110, Resulting Numbers: [110]
110,62 unequal: No Solution
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 75*35=2625, Resulting Numbers: [2625]
2625,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 62:[75, 8], Operations: ['91-86=5', '40/5=8']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 75*8=600, Resulting Numbers: [600]
600,62 unequal: No Solution
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 62:[40, 15], Operations: ['91-86=5', '75/5=15']
Exploring Operation: 40*15=600, Resulting Numbers: [600]
600,62 unequal: No Solution
Exploring Operation: 40+15=55, Resulting Numbers: [55]
55,62 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[86, 40, 16], Operations: ['91-75=16']
Exploring Operation: 86-16=70, Resulting Numbers: [40, 70]
Generated Node #0,0,0: 62:[40, 70] Operation: 86-16=70
Exploring Operation: 86+16=102, Resulting Numbers: [40, 102]
Generated Node #0,0,1: 62:[40, 102] Operation: 86+16=102
Exploring Operation: 40-16=24, Resulting Numbers: [86, 24]
Generated Node #0,0,2: 62:[86, 24] Operation: 40-16=24
Exploring Operation: 86-40=46, Resulting Numbers: [16, 46]
Generated Node #0,0,3: 62:[16, 46] Operation: 86-40=46
Exploring Operation: 40+16=56, Resulting Numbers: [86, 56]
Generated Node #0,0,4: 62:[86, 56] Operation: 40+16=56
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[40, 70], Operations: ['91-75=16', '86-16=70']
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,62 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 62:[16, 46], Operations: ['91-75=16', '86-40=46']
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,62 unequal: No Solution
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[86, 91, 75, 40], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [86, 40, 16]
Generated Node #0,0: 62:[86, 40, 16] Operation: 91-75=16
Moving to Node #0,0
Current State: 62:[86, 40, 16], Operations: ['91-75=16']
Exploring Operation: 86-40=46, Resulting Numbers: [16, 46]
Generated Node #0,0,3: 62:[16, 46] Operation: 86-40=46
Moving to Node #0,0,3
Current State: 62:[16, 46], Operations: ['91-75=16', '86-40=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278 | hs_5 | mult_heuristic |
[
44,
76,
14,
78
] | 72 | [
"78-76=2",
"14*2=28",
"44+28=72"
] | Current State: 72:[44, 76, 14, 78], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [44, 14, 2]
Generated Node #2: [44, 14, 2] from Operation: 78-76=2
Current State: 72:[44, 14, 2], Operations: ['78-76=2']
Exploring Operation: 14*2=28, Resulting Numbers: [44, 28]
Generated Node #3: [44, 28] from Operation: 14*2=28
Current State: 72:[44, 28], Operations: ['78-76=2', '14*2=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[44, 76, 14, 78], Operations: []
Exploring Operation: 78-44=34, Resulting Numbers: [76, 14, 34]
Generated Node #0,0: 72:[76, 14, 34] Operation: 78-44=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[76, 14, 34], Operations: ['78-44=34']
Exploring Operation: 34-14=20, Resulting Numbers: [76, 20]
Generated Node #0,0,0: 72:[76, 20] Operation: 34-14=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[76, 20], Operations: ['78-44=34', '34-14=20']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
45,
2,
38,
57
] | 48 | [
"45+2=47",
"38+57=95",
"95-47=48"
] | Current State: 48:[45, 2, 38, 57], Operations: []
Exploring Operation: 45+2=47, Resulting Numbers: [38, 57, 47]
Generated Node #2: [38, 57, 47] from Operation: 45+2=47
Current State: 48:[38, 57, 47], Operations: ['45+2=47']
Exploring Operation: 38+57=95, Resulting Numbers: [47, 95]
Generated Node #3: [47, 95] from Operation: 38+57=95
Current State: 48:[47, 95], Operations: ['45+2=47', '38+57=95']
Exploring Operation: 95-47=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[45, 2, 38, 57], Operations: []
Exploring Operation: 57-38=19, Resulting Numbers: [45, 2, 19]
Generated Node #0,0: 48:[45, 2, 19] Operation: 57-38=19
Exploring Operation: 38/2=19, Resulting Numbers: [45, 57, 19]
Generated Node #0,1: 48:[45, 57, 19] Operation: 38/2=19
Exploring Operation: 57-45=12, Resulting Numbers: [2, 38, 12]
Generated Node #0,2: 48:[2, 38, 12] Operation: 57-45=12
Exploring Operation: 45-38=7, Resulting Numbers: [2, 57, 7]
Generated Node #0,3: 48:[2, 57, 7] Operation: 45-38=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[45, 2, 19], Operations: ['57-38=19']
Exploring Operation: 2+19=21, Resulting Numbers: [45, 21]
Generated Node #0,0,0: 48:[45, 21] Operation: 2+19=21
Exploring Operation: 45+2=47, Resulting Numbers: [19, 47]
Generated Node #0,0,1: 48:[19, 47] Operation: 45+2=47
Exploring Operation: 45-19=26, Resulting Numbers: [2, 26]
Generated Node #0,0,2: 48:[2, 26] Operation: 45-19=26
Exploring Operation: 19-2=17, Resulting Numbers: [45, 17]
Generated Node #0,0,3: 48:[45, 17] Operation: 19-2=17
Moving to Node #0,0,2
Current State: 48:[2, 26], Operations: ['57-38=19', '45-19=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[45, 17], Operations: ['57-38=19', '19-2=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[19, 47], Operations: ['57-38=19', '45+2=47']
Exploring Operation: 19*47=893, Resulting Numbers: [893]
893,48 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[45, 21], Operations: ['57-38=19', '2+19=21']
Exploring Operation: 45+21=66, Resulting Numbers: [66]
66,48 unequal: No Solution
Exploring Operation: 45*21=945, Resulting Numbers: [945]
945,48 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,48 unequal: No Solution
No 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: 48:[2, 38, 12], Operations: ['57-45=12']
Exploring Operation: 38-12=26, Resulting Numbers: [2, 26]
Generated Node #0,2,0: 48:[2, 26] Operation: 38-12=26
Exploring Operation: 38/2=19, Resulting Numbers: [12, 19]
Generated Node #0,2,1: 48:[12, 19] Operation: 38/2=19
Exploring Operation: 2+38=40, Resulting Numbers: [12, 40]
Generated Node #0,2,2: 48:[12, 40] Operation: 2+38=40
Exploring Operation: 38+12=50, Resulting Numbers: [2, 50]
Generated Node #0,2,3: 48:[2, 50] Operation: 38+12=50
Moving to Node #0,2,0
Current State: 48:[2, 26], Operations: ['57-45=12', '38-12=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[2, 50], Operations: ['57-45=12', '38+12=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,48 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[45, 2, 38, 57], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [2, 38, 12]
Generated Node #0,2: 48:[2, 38, 12] Operation: 57-45=12
Moving to Node #0,2
Current State: 48:[2, 38, 12], Operations: ['57-45=12']
Exploring Operation: 38+12=50, Resulting Numbers: [2, 50]
Generated Node #0,2,3: 48:[2, 50] Operation: 38+12=50
Moving to Node #0,2,3
Current State: 48:[2, 50], Operations: ['57-45=12', '38+12=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | sum_heuristic |
[
8,
30,
55,
22
] | 56 | [
"30-8=22",
"22/22=1",
"55+1=56"
] | Current State: 56:[8, 30, 55, 22], Operations: []
Exploring Operation: 30-8=22, Resulting Numbers: [55, 22, 22]
Generated Node #2: [55, 22, 22] from Operation: 30-8=22
Current State: 56:[55, 22, 22], Operations: ['30-8=22']
Exploring Operation: 22/22=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 22/22=1
Current State: 56:[55, 1], Operations: ['30-8=22', '22/22=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[8, 30, 55, 22], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [30, 55, 14]
Generated Node #0,0: 56:[30, 55, 14] Operation: 22-8=14
Exploring Operation: 30-22=8, Resulting Numbers: [8, 55, 8]
Generated Node #0,1: 56:[8, 55, 8] Operation: 30-22=8
Moving to Node #0,1
Current State: 56:[8, 55, 8], Operations: ['30-22=8']
Exploring Operation: 8+8=16, Resulting Numbers: [55, 16]
Generated Node #0,1,0: 56:[55, 16] Operation: 8+8=16
Exploring Operation: 8/8=1, Resulting Numbers: [55, 1]
Generated Node #0,1,1: 56:[55, 1] Operation: 8/8=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 56:[55, 1], Operations: ['30-22=8', '8/8=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[8, 30, 55, 22], Operations: []
Exploring Operation: 30-22=8, Resulting Numbers: [8, 55, 8]
Generated Node #0,1: 56:[8, 55, 8] Operation: 30-22=8
Moving to Node #0,1
Current State: 56:[8, 55, 8], Operations: ['30-22=8']
Exploring Operation: 8/8=1, Resulting Numbers: [55, 1]
Generated Node #0,1,1: 56:[55, 1] Operation: 8/8=1
Moving to Node #0,1,1
Current State: 56:[55, 1], Operations: ['30-22=8', '8/8=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
77,
66,
30,
8
] | 89 | [
"66+30=96",
"96/8=12",
"77+12=89"
] | Current State: 89:[77, 66, 30, 8], Operations: []
Exploring Operation: 66+30=96, Resulting Numbers: [77, 8, 96]
Generated Node #2: [77, 8, 96] from Operation: 66+30=96
Current State: 89:[77, 8, 96], Operations: ['66+30=96']
Exploring Operation: 96/8=12, Resulting Numbers: [77, 12]
Generated Node #3: [77, 12] from Operation: 96/8=12
Current State: 89:[77, 12], Operations: ['66+30=96', '96/8=12']
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[77, 66, 30, 8], Operations: []
Exploring Operation: 66+8=74, Resulting Numbers: [77, 30, 74]
Generated Node #0,0: 89:[77, 30, 74] Operation: 66+8=74
Exploring Operation: 30+8=38, Resulting Numbers: [77, 66, 38]
Generated Node #0,1: 89:[77, 66, 38] Operation: 30+8=38
Exploring Operation: 77+8=85, Resulting Numbers: [66, 30, 85]
Generated Node #0,2: 89:[66, 30, 85] Operation: 77+8=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[77, 30, 74], Operations: ['66+8=74']
Exploring Operation: 30+74=104, Resulting Numbers: [77, 104]
Generated Node #0,0,0: 89:[77, 104] Operation: 30+74=104
Exploring Operation: 77+30=107, Resulting Numbers: [74, 107]
Generated Node #0,0,1: 89:[74, 107] Operation: 77+30=107
Exploring Operation: 77-30=47, Resulting Numbers: [74, 47]
Generated Node #0,0,2: 89:[74, 47] Operation: 77-30=47
Moving to Node #0,0,0
Current State: 89:[77, 104], Operations: ['66+8=74', '30+74=104']
Exploring Operation: 104-77=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 77*104=8008, Resulting Numbers: [8008]
8008,89 unequal: No Solution
Exploring Operation: 77+104=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[74, 107], Operations: ['66+8=74', '77+30=107']
Exploring Operation: 74*107=7918, Resulting Numbers: [7918]
7918,89 unequal: No Solution
Exploring Operation: 74+107=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 107-74=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[74, 47], Operations: ['66+8=74', '77-30=47']
Exploring Operation: 74+47=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 74*47=3478, Resulting Numbers: [3478]
3478,89 unequal: No Solution
Exploring Operation: 74-47=27, Resulting Numbers: [27]
27,89 unequal: No Solution
No 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: 89:[77, 66, 38], Operations: ['30+8=38']
Exploring Operation: 77+38=115, Resulting Numbers: [66, 115]
Generated Node #0,1,0: 89:[66, 115] Operation: 77+38=115
Exploring Operation: 77-38=39, Resulting Numbers: [66, 39]
Generated Node #0,1,1: 89:[66, 39] Operation: 77-38=39
Exploring Operation: 66+38=104, Resulting Numbers: [77, 104]
Generated Node #0,1,2: 89:[77, 104] Operation: 66+38=104
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[77, 104], Operations: ['30+8=38', '66+38=104']
Exploring Operation: 104-77=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 77+104=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 77*104=8008, Resulting Numbers: [8008]
8008,89 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 #0,1,0
Current State: 89:[66, 115], Operations: ['30+8=38', '77+38=115']
Exploring Operation: 66+115=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 115-66=49, Resulting Numbers: [49]
49,89 unequal: No Solution
Exploring Operation: 66*115=7590, Resulting Numbers: [7590]
7590,89 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 #0,1,1
Current State: 89:[66, 39], Operations: ['30+8=38', '77-38=39']
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 66+39=105, Resulting Numbers: [105]
105,89 unequal: No Solution
Exploring Operation: 66*39=2574, Resulting Numbers: [2574]
2574,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[66, 30, 85], Operations: ['77+8=85']
Exploring Operation: 66-30=36, Resulting Numbers: [85, 36]
Generated Node #0,2,0: 89:[85, 36] Operation: 66-30=36
Exploring Operation: 30+85=115, Resulting Numbers: [66, 115]
Generated Node #0,2,1: 89:[66, 115] Operation: 30+85=115
Exploring Operation: 66+30=96, Resulting Numbers: [85, 96]
Generated Node #0,2,2: 89:[85, 96] Operation: 66+30=96
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[85, 96], Operations: ['77+8=85', '66+30=96']
Exploring Operation: 96-85=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Exploring Operation: 85+96=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 85*96=8160, Resulting Numbers: [8160]
8160,89 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 #0,2,1
Current State: 89:[66, 115], Operations: ['77+8=85', '30+85=115']
Exploring Operation: 66+115=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 66*115=7590, Resulting Numbers: [7590]
7590,89 unequal: No Solution
Exploring Operation: 115-66=49, Resulting Numbers: [49]
49,89 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 #0,2,0
Current State: 89:[85, 36], Operations: ['77+8=85', '66-30=36']
Exploring Operation: 85+36=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,89 unequal: No Solution
Exploring Operation: 85*36=3060, Resulting Numbers: [3060]
3060,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
1,
12,
7,
77
] | 24 | [
"1+12=13",
"77/7=11",
"13+11=24"
] | Current State: 24:[1, 12, 7, 77], Operations: []
Exploring Operation: 1+12=13, Resulting Numbers: [7, 77, 13]
Generated Node #2: [7, 77, 13] from Operation: 1+12=13
Current State: 24:[7, 77, 13], Operations: ['1+12=13']
Exploring Operation: 77/7=11, Resulting Numbers: [13, 11]
Generated Node #3: [13, 11] from Operation: 77/7=11
Current State: 24:[13, 11], Operations: ['1+12=13', '77/7=11']
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[1, 12, 7, 77], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [12, 77, 6]
Generated Node #0,0: 24:[12, 77, 6] Operation: 7-1=6
Exploring Operation: 77-12=65, Resulting Numbers: [1, 7, 65]
Generated Node #0,1: 24:[1, 7, 65] Operation: 77-12=65
Exploring Operation: 77-7=70, Resulting Numbers: [1, 12, 70]
Generated Node #0,2: 24:[1, 12, 70] Operation: 77-7=70
Exploring Operation: 1+7=8, Resulting Numbers: [12, 77, 8]
Generated Node #0,3: 24:[12, 77, 8] Operation: 1+7=8
Exploring Operation: 77/7=11, Resulting Numbers: [1, 12, 11]
Generated Node #0,4: 24:[1, 12, 11] Operation: 77/7=11
Moving to Node #0,4
Current State: 24:[1, 12, 11], Operations: ['77/7=11']
Exploring Operation: 12/1=12, Resulting Numbers: [11, 12]
Generated Node #0,4,0: 24:[11, 12] Operation: 12/1=12
Exploring Operation: 1*12=12, Resulting Numbers: [11, 12]
Generated Node #0,4,1: 24:[11, 12] Operation: 1*12=12
Exploring Operation: 11/1=11, Resulting Numbers: [12, 11]
Generated Node #0,4,2: 24:[12, 11] Operation: 11/1=11
Exploring Operation: 1*11=11, Resulting Numbers: [12, 11]
Generated Node #0,4,3: 24:[12, 11] Operation: 1*11=11
Exploring Operation: 1+11=12, Resulting Numbers: [12, 12]
Generated Node #0,4,4: 24:[12, 12] Operation: 1+11=12
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 24:[12, 12], Operations: ['77/7=11', '1+11=12']
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[1, 12, 7, 77], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [1, 12, 11]
Generated Node #0,4: 24:[1, 12, 11] Operation: 77/7=11
Moving to Node #0,4
Current State: 24:[1, 12, 11], Operations: ['77/7=11']
Exploring Operation: 1+11=12, Resulting Numbers: [12, 12]
Generated Node #0,4,4: 24:[12, 12] Operation: 1+11=12
Moving to Node #0,4,4
Current State: 24:[12, 12], Operations: ['77/7=11', '1+11=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
10,
80,
6,
23
] | 21 | [
"80/10=8",
"6+23=29",
"29-8=21"
] | Current State: 21:[10, 80, 6, 23], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [6, 23, 8]
Generated Node #2: [6, 23, 8] from Operation: 80/10=8
Current State: 21:[6, 23, 8], Operations: ['80/10=8']
Exploring Operation: 6+23=29, Resulting Numbers: [8, 29]
Generated Node #3: [8, 29] from Operation: 6+23=29
Current State: 21:[8, 29], Operations: ['80/10=8', '6+23=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[10, 80, 6, 23], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [6, 23, 70]
Generated Node #0,0: 21:[6, 23, 70] Operation: 80-10=70
Exploring Operation: 80/10=8, Resulting Numbers: [6, 23, 8]
Generated Node #0,1: 21:[6, 23, 8] Operation: 80/10=8
Exploring Operation: 80-23=57, Resulting Numbers: [10, 6, 57]
Generated Node #0,2: 21:[10, 6, 57] Operation: 80-23=57
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[6, 23, 8], Operations: ['80/10=8']
Exploring Operation: 8-6=2, Resulting Numbers: [23, 2]
Generated Node #0,1,0: 21:[23, 2] Operation: 8-6=2
Exploring Operation: 23-8=15, Resulting Numbers: [6, 15]
Generated Node #0,1,1: 21:[6, 15] Operation: 23-8=15
Exploring Operation: 23-6=17, Resulting Numbers: [8, 17]
Generated Node #0,1,2: 21:[8, 17] Operation: 23-6=17
Moving to Node #0,1,0
Current State: 21:[23, 2], Operations: ['80/10=8', '8-6=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,21 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[10, 80, 6, 23], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [6, 23, 8]
Generated Node #0,1: 21:[6, 23, 8] Operation: 80/10=8
Moving to Node #0,1
Current State: 21:[6, 23, 8], Operations: ['80/10=8']
Exploring Operation: 8-6=2, Resulting Numbers: [23, 2]
Generated Node #0,1,0: 21:[23, 2] Operation: 8-6=2
Moving to Node #0,1,0
Current State: 21:[23, 2], Operations: ['80/10=8', '8-6=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
67,
99,
69,
58
] | 82 | [
"69-67=2",
"99-58=41",
"2*41=82"
] | Current State: 82:[67, 99, 69, 58], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [99, 58, 2]
Generated Node #2: [99, 58, 2] from Operation: 69-67=2
Current State: 82:[99, 58, 2], Operations: ['69-67=2']
Exploring Operation: 99-58=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 99-58=41
Current State: 82:[2, 41], Operations: ['69-67=2', '99-58=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[67, 99, 69, 58], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [99, 69, 9]
Generated Node #0,0: 82:[99, 69, 9] Operation: 67-58=9
Exploring Operation: 69-67=2, Resulting Numbers: [99, 58, 2]
Generated Node #0,1: 82:[99, 58, 2] Operation: 69-67=2
Exploring Operation: 99-58=41, Resulting Numbers: [67, 69, 41]
Generated Node #0,2: 82:[67, 69, 41] Operation: 99-58=41
Moving to Node #0,2
Current State: 82:[67, 69, 41], Operations: ['99-58=41']
Exploring Operation: 69-41=28, Resulting Numbers: [67, 28]
Generated Node #0,2,0: 82:[67, 28] Operation: 69-41=28
Exploring Operation: 69-67=2, Resulting Numbers: [41, 2]
Generated Node #0,2,1: 82:[41, 2] Operation: 69-67=2
Exploring Operation: 67-41=26, Resulting Numbers: [69, 26]
Generated Node #0,2,2: 82:[69, 26] Operation: 67-41=26
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[41, 2], Operations: ['99-58=41', '69-67=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[67, 99, 69, 58], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [67, 69, 41]
Generated Node #0,2: 82:[67, 69, 41] Operation: 99-58=41
Moving to Node #0,2
Current State: 82:[67, 69, 41], Operations: ['99-58=41']
Exploring Operation: 69-67=2, Resulting Numbers: [41, 2]
Generated Node #0,2,1: 82:[41, 2] Operation: 69-67=2
Moving to Node #0,2,1
Current State: 82:[41, 2], Operations: ['99-58=41', '69-67=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
66,
98,
54,
18
] | 63 | [
"66+18=84",
"98*54=5292",
"5292/84=63"
] | Current State: 63:[66, 98, 54, 18], Operations: []
Exploring Operation: 66+18=84, Resulting Numbers: [98, 54, 84]
Generated Node #2: [98, 54, 84] from Operation: 66+18=84
Current State: 63:[98, 54, 84], Operations: ['66+18=84']
Exploring Operation: 98*54=5292, Resulting Numbers: [84, 5292]
Generated Node #3: [84, 5292] from Operation: 98*54=5292
Current State: 63:[84, 5292], Operations: ['66+18=84', '98*54=5292']
Exploring Operation: 5292/84=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[66, 98, 54, 18], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [54, 18, 32]
Generated Node #0,0: 63:[54, 18, 32] Operation: 98-66=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[54, 18, 32], Operations: ['98-66=32']
Exploring Operation: 54-32=22, Resulting Numbers: [18, 22]
Generated Node #0,0,0: 63:[18, 22] Operation: 54-32=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[18, 22], Operations: ['98-66=32', '54-32=22']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
71,
16,
52,
78
] | 95 | [
"16*78=1248",
"1248/52=24",
"71+24=95"
] | Current State: 95:[71, 16, 52, 78], Operations: []
Exploring Operation: 16*78=1248, Resulting Numbers: [71, 52, 1248]
Generated Node #2: [71, 52, 1248] from Operation: 16*78=1248
Current State: 95:[71, 52, 1248], Operations: ['16*78=1248']
Exploring Operation: 1248/52=24, Resulting Numbers: [71, 24]
Generated Node #3: [71, 24] from Operation: 1248/52=24
Current State: 95:[71, 24], Operations: ['16*78=1248', '1248/52=24']
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[71, 16, 52, 78], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [71, 16, 26]
Generated Node #0,0: 95:[71, 16, 26] Operation: 78-52=26
Exploring Operation: 71-52=19, Resulting Numbers: [16, 78, 19]
Generated Node #0,1: 95:[16, 78, 19] Operation: 71-52=19
Exploring Operation: 78-71=7, Resulting Numbers: [16, 52, 7]
Generated Node #0,2: 95:[16, 52, 7] Operation: 78-71=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[16, 78, 19], Operations: ['71-52=19']
Exploring Operation: 78+19=97, Resulting Numbers: [16, 97]
Generated Node #0,1,0: 95:[16, 97] Operation: 78+19=97
Exploring Operation: 16+78=94, Resulting Numbers: [19, 94]
Generated Node #0,1,1: 95:[19, 94] Operation: 16+78=94
Exploring Operation: 19-16=3, Resulting Numbers: [78, 3]
Generated Node #0,1,2: 95:[78, 3] Operation: 19-16=3
Moving to Node #0,1,1
Current State: 95:[19, 94], Operations: ['71-52=19', '16+78=94']
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,95 unequal: No Solution
Exploring Operation: 19+94=113, Resulting Numbers: [113]
113,95 unequal: No Solution
Exploring Operation: 19*94=1786, Resulting Numbers: [1786]
1786,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[16, 97], Operations: ['71-52=19', '78+19=97']
Exploring Operation: 16*97=1552, Resulting Numbers: [1552]
1552,95 unequal: No Solution
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,95 unequal: No Solution
Exploring Operation: 16+97=113, Resulting Numbers: [113]
113,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[78, 3], Operations: ['71-52=19', '19-16=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,95 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,95 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
Current State: 95:[71, 16, 26], Operations: ['78-52=26']
Exploring Operation: 71+26=97, Resulting Numbers: [16, 97]
Generated Node #0,0,0: 95:[16, 97] Operation: 71+26=97
Exploring Operation: 71+16=87, Resulting Numbers: [26, 87]
Generated Node #0,0,1: 95:[26, 87] Operation: 71+16=87
Exploring Operation: 71-26=45, Resulting Numbers: [16, 45]
Generated Node #0,0,2: 95:[16, 45] Operation: 71-26=45
Moving to Node #0,0,0
Current State: 95:[16, 97], Operations: ['78-52=26', '71+26=97']
Exploring Operation: 16+97=113, Resulting Numbers: [113]
113,95 unequal: No Solution
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,95 unequal: No Solution
Exploring Operation: 16*97=1552, Resulting Numbers: [1552]
1552,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[26, 87], Operations: ['78-52=26', '71+16=87']
Exploring Operation: 26+87=113, Resulting Numbers: [113]
113,95 unequal: No Solution
Exploring Operation: 26*87=2262, Resulting Numbers: [2262]
2262,95 unequal: No Solution
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[16, 45], Operations: ['78-52=26', '71-26=45']
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,95 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,95 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 #0,2
Current State: 95:[16, 52, 7], Operations: ['78-71=7']
Exploring Operation: 16+52=68, Resulting Numbers: [7, 68]
Generated Node #0,2,0: 95:[7, 68] Operation: 16+52=68
Exploring Operation: 52-7=45, Resulting Numbers: [16, 45]
Generated Node #0,2,1: 95:[16, 45] Operation: 52-7=45
Exploring Operation: 52-16=36, Resulting Numbers: [7, 36]
Generated Node #0,2,2: 95:[7, 36] Operation: 52-16=36
Moving to Node #0,2,2
Current State: 95:[7, 36], Operations: ['78-71=7', '52-16=36']
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,95 unequal: No Solution
Exploring Operation: 7*36=252, Resulting Numbers: [252]
252,95 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[7, 68], Operations: ['78-71=7', '16+52=68']
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,95 unequal: No Solution
Exploring Operation: 7*68=476, Resulting Numbers: [476]
476,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[16, 45], Operations: ['78-71=7', '52-7=45']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,95 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
93,
59,
5,
94
] | 53 | [
"93+59=152",
"5+94=99",
"152-99=53"
] | Current State: 53:[93, 59, 5, 94], Operations: []
Exploring Operation: 93+59=152, Resulting Numbers: [5, 94, 152]
Generated Node #2: [5, 94, 152] from Operation: 93+59=152
Current State: 53:[5, 94, 152], Operations: ['93+59=152']
Exploring Operation: 5+94=99, Resulting Numbers: [152, 99]
Generated Node #3: [152, 99] from Operation: 5+94=99
Current State: 53:[152, 99], Operations: ['93+59=152', '5+94=99']
Exploring Operation: 152-99=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[93, 59, 5, 94], Operations: []
Exploring Operation: 93+5=98, Resulting Numbers: [59, 94, 98]
Generated Node #0,0: 53:[59, 94, 98] Operation: 93+5=98
Exploring Operation: 59-5=54, Resulting Numbers: [93, 94, 54]
Generated Node #0,1: 53:[93, 94, 54] Operation: 59-5=54
Exploring Operation: 59+5=64, Resulting Numbers: [93, 94, 64]
Generated Node #0,2: 53:[93, 94, 64] Operation: 59+5=64
Exploring Operation: 94-5=89, Resulting Numbers: [93, 59, 89]
Generated Node #0,3: 53:[93, 59, 89] Operation: 94-5=89
Exploring Operation: 93-5=88, Resulting Numbers: [59, 94, 88]
Generated Node #0,4: 53:[59, 94, 88] Operation: 93-5=88
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[93, 94, 54], Operations: ['59-5=54']
Exploring Operation: 94-93=1, Resulting Numbers: [54, 1]
Generated Node #0,1,0: 53:[54, 1] Operation: 94-93=1
Exploring Operation: 94-54=40, Resulting Numbers: [93, 40]
Generated Node #0,1,1: 53:[93, 40] Operation: 94-54=40
Exploring Operation: 93+54=147, Resulting Numbers: [94, 147]
Generated Node #0,1,2: 53:[94, 147] Operation: 93+54=147
Exploring Operation: 93+94=187, Resulting Numbers: [54, 187]
Generated Node #0,1,3: 53:[54, 187] Operation: 93+94=187
Exploring Operation: 93-54=39, Resulting Numbers: [94, 39]
Generated Node #0,1,4: 53:[94, 39] Operation: 93-54=39
Moving to Node #0,1,0
Current State: 53:[54, 1], Operations: ['59-5=54', '94-93=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,53 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,53 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[93, 59, 5, 94], Operations: []
Exploring Operation: 59-5=54, Resulting Numbers: [93, 94, 54]
Generated Node #0,1: 53:[93, 94, 54] Operation: 59-5=54
Moving to Node #0,1
Current State: 53:[93, 94, 54], Operations: ['59-5=54']
Exploring Operation: 94-93=1, Resulting Numbers: [54, 1]
Generated Node #0,1,0: 53:[54, 1] Operation: 94-93=1
Moving to Node #0,1,0
Current State: 53:[54, 1], Operations: ['59-5=54', '94-93=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
78,
14,
42,
3
] | 66 | [
"78-14=64",
"64-42=22",
"3*22=66"
] | Current State: 66:[78, 14, 42, 3], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [42, 3, 64]
Generated Node #2: [42, 3, 64] from Operation: 78-14=64
Current State: 66:[42, 3, 64], Operations: ['78-14=64']
Exploring Operation: 64-42=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 64-42=22
Current State: 66:[3, 22], Operations: ['78-14=64', '64-42=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[78, 14, 42, 3], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [42, 3, 64]
Generated Node #0,0: 66:[42, 3, 64] Operation: 78-14=64
Exploring Operation: 78-42=36, Resulting Numbers: [14, 3, 36]
Generated Node #0,1: 66:[14, 3, 36] Operation: 78-42=36
Moving to Node #0,1
Current State: 66:[14, 3, 36], Operations: ['78-42=36']
Exploring Operation: 36-14=22, Resulting Numbers: [3, 22]
Generated Node #0,1,0: 66:[3, 22] Operation: 36-14=22
Exploring Operation: 14-3=11, Resulting Numbers: [36, 11]
Generated Node #0,1,1: 66:[36, 11] Operation: 14-3=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[3, 22], Operations: ['78-42=36', '36-14=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[78, 14, 42, 3], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [14, 3, 36]
Generated Node #0,1: 66:[14, 3, 36] Operation: 78-42=36
Moving to Node #0,1
Current State: 66:[14, 3, 36], Operations: ['78-42=36']
Exploring Operation: 36-14=22, Resulting Numbers: [3, 22]
Generated Node #0,1,0: 66:[3, 22] Operation: 36-14=22
Moving to Node #0,1,0
Current State: 66:[3, 22], Operations: ['78-42=36', '36-14=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
7,
1,
26,
52
] | 15 | [
"7*52=364",
"364/26=14",
"1+14=15"
] | Current State: 15:[7, 1, 26, 52], Operations: []
Exploring Operation: 7*52=364, Resulting Numbers: [1, 26, 364]
Generated Node #2: [1, 26, 364] from Operation: 7*52=364
Current State: 15:[1, 26, 364], Operations: ['7*52=364']
Exploring Operation: 364/26=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 364/26=14
Current State: 15:[1, 14], Operations: ['7*52=364', '364/26=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[7, 1, 26, 52], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [7, 1, 2]
Generated Node #0,0: 15:[7, 1, 2] Operation: 52/26=2
Exploring Operation: 26-7=19, Resulting Numbers: [1, 52, 19]
Generated Node #0,1: 15:[1, 52, 19] Operation: 26-7=19
Exploring Operation: 52-26=26, Resulting Numbers: [7, 1, 26]
Generated Node #0,2: 15:[7, 1, 26] Operation: 52-26=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[7, 1, 2], Operations: ['52/26=2']
Exploring Operation: 1+2=3, Resulting Numbers: [7, 3]
Generated Node #0,0,0: 15:[7, 3] Operation: 1+2=3
Exploring Operation: 7-1=6, Resulting Numbers: [2, 6]
Generated Node #0,0,1: 15:[2, 6] Operation: 7-1=6
Exploring Operation: 7-2=5, Resulting Numbers: [1, 5]
Generated Node #0,0,2: 15:[1, 5] Operation: 7-2=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[7, 3], Operations: ['52/26=2', '1+2=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[2, 6], Operations: ['52/26=2', '7-1=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 15:[1, 5], Operations: ['52/26=2', '7-2=5']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[7, 1, 26], Operations: ['52-26=26']
Exploring Operation: 7-1=6, Resulting Numbers: [26, 6]
Generated Node #0,2,0: 15:[26, 6] Operation: 7-1=6
Exploring Operation: 26-7=19, Resulting Numbers: [1, 19]
Generated Node #0,2,1: 15:[1, 19] Operation: 26-7=19
Exploring Operation: 26-1=25, Resulting Numbers: [7, 25]
Generated Node #0,2,2: 15:[7, 25] Operation: 26-1=25
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 15:[1, 19], Operations: ['52-26=26', '26-7=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 15:[26, 6], Operations: ['52-26=26', '7-1=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,15 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[7, 25], Operations: ['52-26=26', '26-1=25']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,15 unequal: No Solution
Exploring Operation: 7*25=175, Resulting Numbers: [175]
175,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[1, 52, 19], Operations: ['26-7=19']
Exploring Operation: 19-1=18, Resulting Numbers: [52, 18]
Generated Node #0,1,0: 15:[52, 18] Operation: 19-1=18
Exploring Operation: 52-19=33, Resulting Numbers: [1, 33]
Generated Node #0,1,1: 15:[1, 33] Operation: 52-19=33
Exploring Operation: 52-1=51, Resulting Numbers: [19, 51]
Generated Node #0,1,2: 15:[19, 51] Operation: 52-1=51
Moving to Node #0,1,1
Current State: 15:[1, 33], Operations: ['26-7=19', '52-19=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,15 unequal: No Solution
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[52, 18], Operations: ['26-7=19', '19-1=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[19, 51], Operations: ['26-7=19', '52-1=51']
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,15 unequal: No Solution
Exploring Operation: 19*51=969, Resulting Numbers: [969]
969,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
60,
17,
7,
31
] | 84 | [
"60-17=43",
"43-31=12",
"7*12=84"
] | Current State: 84:[60, 17, 7, 31], Operations: []
Exploring Operation: 60-17=43, Resulting Numbers: [7, 31, 43]
Generated Node #2: [7, 31, 43] from Operation: 60-17=43
Current State: 84:[7, 31, 43], Operations: ['60-17=43']
Exploring Operation: 43-31=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 43-31=12
Current State: 84:[7, 12], Operations: ['60-17=43', '43-31=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[60, 17, 7, 31], Operations: []
Exploring Operation: 60-17=43, Resulting Numbers: [7, 31, 43]
Generated Node #0,0: 84:[7, 31, 43] Operation: 60-17=43
Exploring Operation: 60-31=29, Resulting Numbers: [17, 7, 29]
Generated Node #0,1: 84:[17, 7, 29] Operation: 60-31=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[7, 31, 43], Operations: ['60-17=43']
Exploring Operation: 43-31=12, Resulting Numbers: [7, 12]
Generated Node #0,0,0: 84:[7, 12] Operation: 43-31=12
Exploring Operation: 31-7=24, Resulting Numbers: [43, 24]
Generated Node #0,0,1: 84:[43, 24] Operation: 31-7=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[7, 12], Operations: ['60-17=43', '43-31=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[60, 17, 7, 31], Operations: []
Exploring Operation: 60-17=43, Resulting Numbers: [7, 31, 43]
Generated Node #0,0: 84:[7, 31, 43] Operation: 60-17=43
Moving to Node #0,0
Current State: 84:[7, 31, 43], Operations: ['60-17=43']
Exploring Operation: 43-31=12, Resulting Numbers: [7, 12]
Generated Node #0,0,0: 84:[7, 12] Operation: 43-31=12
Moving to Node #0,0,0
Current State: 84:[7, 12], Operations: ['60-17=43', '43-31=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
48,
31,
8,
83
] | 74 | [
"48-31=17",
"8+83=91",
"91-17=74"
] | Current State: 74:[48, 31, 8, 83], Operations: []
Exploring Operation: 48-31=17, Resulting Numbers: [8, 83, 17]
Generated Node #2: [8, 83, 17] from Operation: 48-31=17
Current State: 74:[8, 83, 17], Operations: ['48-31=17']
Exploring Operation: 8+83=91, Resulting Numbers: [17, 91]
Generated Node #3: [17, 91] from Operation: 8+83=91
Current State: 74:[17, 91], Operations: ['48-31=17', '8+83=91']
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[48, 31, 8, 83], Operations: []
Exploring Operation: 83-48=35, Resulting Numbers: [31, 8, 35]
Generated Node #0,0: 74:[31, 8, 35] Operation: 83-48=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[31, 8, 35], Operations: ['83-48=35']
Exploring Operation: 31+8=39, Resulting Numbers: [35, 39]
Generated Node #0,0,0: 74:[35, 39] Operation: 31+8=39
Moving to Node #0,0,0
Current State: 74:[35, 39], Operations: ['83-48=35', '31+8=39']
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[48, 31, 8, 83], Operations: []
Exploring Operation: 83-48=35, Resulting Numbers: [31, 8, 35]
Generated Node #0,0: 74:[31, 8, 35] Operation: 83-48=35
Moving to Node #0,0
Current State: 74:[31, 8, 35], Operations: ['83-48=35']
Exploring Operation: 31+8=39, Resulting Numbers: [35, 39]
Generated Node #0,0,0: 74:[35, 39] Operation: 31+8=39
Moving to Node #0,0,0
Current State: 74:[35, 39], Operations: ['83-48=35', '31+8=39']
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
47,
39,
57,
75
] | 45 | [
"39+75=114",
"114/57=2",
"47-2=45"
] | Current State: 45:[47, 39, 57, 75], Operations: []
Exploring Operation: 39+75=114, Resulting Numbers: [47, 57, 114]
Generated Node #2: [47, 57, 114] from Operation: 39+75=114
Current State: 45:[47, 57, 114], Operations: ['39+75=114']
Exploring Operation: 114/57=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 114/57=2
Current State: 45:[47, 2], Operations: ['39+75=114', '114/57=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[47, 39, 57, 75], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [47, 39, 18]
Generated Node #0,0: 45:[47, 39, 18] Operation: 75-57=18
Exploring Operation: 75-47=28, Resulting Numbers: [39, 57, 28]
Generated Node #0,1: 45:[39, 57, 28] Operation: 75-47=28
Exploring Operation: 75-39=36, Resulting Numbers: [47, 57, 36]
Generated Node #0,2: 45:[47, 57, 36] Operation: 75-39=36
Moving to Node #0,0
Current State: 45:[47, 39, 18], Operations: ['75-57=18']
Exploring Operation: 39-18=21, Resulting Numbers: [47, 21]
Generated Node #0,0,0: 45:[47, 21] Operation: 39-18=21
Exploring Operation: 39+18=57, Resulting Numbers: [47, 57]
Generated Node #0,0,1: 45:[47, 57] Operation: 39+18=57
Exploring Operation: 47-39=8, Resulting Numbers: [18, 8]
Generated Node #0,0,2: 45:[18, 8] Operation: 47-39=8
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 45:[18, 8], Operations: ['75-57=18', '47-39=8']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,45 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:[47, 21], Operations: ['75-57=18', '39-18=21']
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,45 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 45:[47, 57], Operations: ['75-57=18', '39+18=57']
Exploring Operation: 47*57=2679, Resulting Numbers: [2679]
2679,45 unequal: No Solution
Exploring Operation: 47+57=104, Resulting Numbers: [104]
104,45 unequal: No Solution
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,45 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: 45:[47, 57, 36], Operations: ['75-39=36']
Exploring Operation: 47-36=11, Resulting Numbers: [57, 11]
Generated Node #0,2,0: 45:[57, 11] Operation: 47-36=11
Exploring Operation: 57-47=10, Resulting Numbers: [36, 10]
Generated Node #0,2,1: 45:[36, 10] Operation: 57-47=10
Exploring Operation: 57-36=21, Resulting Numbers: [47, 21]
Generated Node #0,2,2: 45:[47, 21] Operation: 57-36=21
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[47, 21], Operations: ['75-39=36', '57-36=21']
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,45 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:[36, 10], Operations: ['75-39=36', '57-47=10']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 36*10=360, Resulting Numbers: [360]
360,45 unequal: No Solution
Exploring Operation: 36+10=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 #0,2,0
Current State: 45:[57, 11], Operations: ['75-39=36', '47-36=11']
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 57*11=627, Resulting Numbers: [627]
627,45 unequal: No Solution
Exploring Operation: 57-11=46, Resulting Numbers: [46]
46,45 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:[39, 57, 28], Operations: ['75-47=28']
Exploring Operation: 57-28=29, Resulting Numbers: [39, 29]
Generated Node #0,1,0: 45:[39, 29] Operation: 57-28=29
Exploring Operation: 57-39=18, Resulting Numbers: [28, 18]
Generated Node #0,1,1: 45:[28, 18] Operation: 57-39=18
Exploring Operation: 39-28=11, Resulting Numbers: [57, 11]
Generated Node #0,1,2: 45:[57, 11] Operation: 39-28=11
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[57, 11], Operations: ['75-47=28', '39-28=11']
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 57*11=627, Resulting Numbers: [627]
627,45 unequal: No Solution
Exploring Operation: 57-11=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 #0,1,1
Current State: 45:[28, 18], Operations: ['75-47=28', '57-39=18']
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,45 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,45 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:[39, 29], Operations: ['75-47=28', '57-28=29']
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 39+29=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 39*29=1131, Resulting Numbers: [1131]
1131,45 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 |
[
3,
39,
76,
37
] | 52 | [
"39/3=13",
"76-37=39",
"13+39=52"
] | Current State: 52:[3, 39, 76, 37], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [76, 37, 13]
Generated Node #2: [76, 37, 13] from Operation: 39/3=13
Current State: 52:[76, 37, 13], Operations: ['39/3=13']
Exploring Operation: 76-37=39, Resulting Numbers: [13, 39]
Generated Node #3: [13, 39] from Operation: 76-37=39
Current State: 52:[13, 39], Operations: ['39/3=13', '76-37=39']
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[3, 39, 76, 37], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [76, 37, 13]
Generated Node #0,0: 52:[76, 37, 13] Operation: 39/3=13
Exploring Operation: 39-37=2, Resulting Numbers: [3, 76, 2]
Generated Node #0,1: 52:[3, 76, 2] Operation: 39-37=2
Exploring Operation: 3+39=42, Resulting Numbers: [76, 37, 42]
Generated Node #0,2: 52:[76, 37, 42] Operation: 3+39=42
Exploring Operation: 76-37=39, Resulting Numbers: [3, 39, 39]
Generated Node #0,3: 52:[3, 39, 39] Operation: 76-37=39
Exploring Operation: 76-39=37, Resulting Numbers: [3, 37, 37]
Generated Node #0,4: 52:[3, 37, 37] Operation: 76-39=37
Start Sub Search at level 1: Moving to Node #0,4
Current State: 52:[3, 37, 37], Operations: ['76-39=37']
Exploring Operation: 37-3=34, Resulting Numbers: [37, 34]
Generated Node #0,4,0: 52:[37, 34] Operation: 37-3=34
Exploring Operation: 37/37=1, Resulting Numbers: [3, 1]
Generated Node #0,4,1: 52:[3, 1] Operation: 37/37=1
Exploring Operation: 37-37=0, Resulting Numbers: [3, 0]
Generated Node #0,4,2: 52:[3, 0] Operation: 37-37=0
Exploring Operation: 37-3=34, Resulting Numbers: [37, 34]
Generated Node #0,4,3: 52:[37, 34] Operation: 37-3=34
Exploring Operation: 3+37=40, Resulting Numbers: [37, 40]
Generated Node #0,4,4: 52:[37, 40] Operation: 3+37=40
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 52:[3, 1], Operations: ['76-39=37', '37/37=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 52:[3, 0], Operations: ['76-39=37', '37-37=0']
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 52:[37, 34], Operations: ['76-39=37', '37-3=34']
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 37*34=1258, Resulting Numbers: [1258]
1258,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 52:[37, 34], Operations: ['76-39=37', '37-3=34']
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 37*34=1258, Resulting Numbers: [1258]
1258,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 52:[37, 40], Operations: ['76-39=37', '3+37=40']
Exploring Operation: 40-37=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 37*40=1480, Resulting Numbers: [1480]
1480,52 unequal: No Solution
Exploring Operation: 37+40=77, Resulting Numbers: [77]
77,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[3, 76, 2], Operations: ['39-37=2']
Exploring Operation: 3+2=5, Resulting Numbers: [76, 5]
Generated Node #0,1,0: 52:[76, 5] Operation: 3+2=5
Exploring Operation: 76/2=38, Resulting Numbers: [3, 38]
Generated Node #0,1,1: 52:[3, 38] Operation: 76/2=38
Exploring Operation: 3-2=1, Resulting Numbers: [76, 1]
Generated Node #0,1,2: 52:[76, 1] Operation: 3-2=1
Exploring Operation: 76-3=73, Resulting Numbers: [2, 73]
Generated Node #0,1,3: 52:[2, 73] Operation: 76-3=73
Exploring Operation: 76-2=74, Resulting Numbers: [3, 74]
Generated Node #0,1,4: 52:[3, 74] Operation: 76-2=74
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 52:[3, 38], Operations: ['39-37=2', '76/2=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,52 unequal: No Solution
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 52:[2, 73], Operations: ['39-37=2', '76-3=73']
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 2*73=146, Resulting Numbers: [146]
146,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 52:[3, 74], Operations: ['39-37=2', '76-2=74']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Exploring Operation: 3*74=222, Resulting Numbers: [222]
222,52 unequal: No Solution
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[76, 5], Operations: ['39-37=2', '3+2=5']
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,52 unequal: No Solution
Exploring Operation: 76*5=380, Resulting Numbers: [380]
380,52 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 52:[76, 1], Operations: ['39-37=2', '3-2=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,52 unequal: No Solution
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[3, 39, 39], Operations: ['76-37=39']
Exploring Operation: 39/3=13, Resulting Numbers: [39, 13]
Generated Node #0,3,0: 52:[39, 13] Operation: 39/3=13
Exploring Operation: 3+39=42, Resulting Numbers: [39, 42]
Generated Node #0,3,1: 52:[39, 42] Operation: 3+39=42
Exploring Operation: 39-39=0, Resulting Numbers: [3, 0]
Generated Node #0,3,2: 52:[3, 0] Operation: 39-39=0
Exploring Operation: 39/3=13, Resulting Numbers: [39, 13]
Generated Node #0,3,3: 52:[39, 13] Operation: 39/3=13
Exploring Operation: 39/39=1, Resulting Numbers: [3, 1]
Generated Node #0,3,4: 52:[3, 1] Operation: 39/39=1
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 52:[3, 1], Operations: ['76-37=39', '39/39=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 52:[3, 0], Operations: ['76-37=39', '39-39=0']
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 52:[39, 13], Operations: ['76-37=39', '39/3=13']
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 39*13=507, Resulting Numbers: [507]
507,52 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[3, 39, 76, 37], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [3, 39, 39]
Generated Node #0,3: 52:[3, 39, 39] Operation: 76-37=39
Moving to Node #0,3
Current State: 52:[3, 39, 39], Operations: ['76-37=39']
Exploring Operation: 39/3=13, Resulting Numbers: [39, 13]
Generated Node #0,3,0: 52:[39, 13] Operation: 39/3=13
Moving to Node #0,3,0
Current State: 52:[39, 13], Operations: ['76-37=39', '39/3=13']
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.94184 | hs_5 | mult_heuristic |
[
73,
96,
6,
75
] | 14 | [
"75-73=2",
"96/6=16",
"16-2=14"
] | Current State: 14:[73, 96, 6, 75], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [96, 6, 2]
Generated Node #2: [96, 6, 2] from Operation: 75-73=2
Current State: 14:[96, 6, 2], Operations: ['75-73=2']
Exploring Operation: 96/6=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 96/6=16
Current State: 14:[2, 16], Operations: ['75-73=2', '96/6=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[73, 96, 6, 75], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [73, 6, 21]
Generated Node #0,0: 14:[73, 6, 21] Operation: 96-75=21
Moving to Node #0,0
Current State: 14:[73, 6, 21], Operations: ['96-75=21']
Exploring Operation: 73-21=52, Resulting Numbers: [6, 52]
Generated Node #0,0,0: 14:[6, 52] Operation: 73-21=52
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[6, 52], Operations: ['96-75=21', '73-21=52']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,14 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 |
[
78,
48,
35,
51
] | 56 | [
"78-48=30",
"35+51=86",
"86-30=56"
] | Current State: 56:[78, 48, 35, 51], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [35, 51, 30]
Generated Node #2: [35, 51, 30] from Operation: 78-48=30
Current State: 56:[35, 51, 30], Operations: ['78-48=30']
Exploring Operation: 35+51=86, Resulting Numbers: [30, 86]
Generated Node #3: [30, 86] from Operation: 35+51=86
Current State: 56:[30, 86], Operations: ['78-48=30', '35+51=86']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[78, 48, 35, 51], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [35, 51, 30]
Generated Node #0,0: 56:[35, 51, 30] Operation: 78-48=30
Moving to Node #0,0
Current State: 56:[35, 51, 30], Operations: ['78-48=30']
Exploring Operation: 51-35=16, Resulting Numbers: [30, 16]
Generated Node #0,0,0: 56:[30, 16] Operation: 51-35=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[30, 16], Operations: ['78-48=30', '51-35=16']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,56 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 |
[
70,
48,
5,
11
] | 55 | [
"70-48=22",
"22-11=11",
"5*11=55"
] | Current State: 55:[70, 48, 5, 11], Operations: []
Exploring Operation: 70-48=22, Resulting Numbers: [5, 11, 22]
Generated Node #2: [5, 11, 22] from Operation: 70-48=22
Current State: 55:[5, 11, 22], Operations: ['70-48=22']
Exploring Operation: 22-11=11, Resulting Numbers: [5, 11]
Generated Node #3: [5, 11] from Operation: 22-11=11
Current State: 55:[5, 11], Operations: ['70-48=22', '22-11=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[70, 48, 5, 11], Operations: []
Exploring Operation: 70/5=14, Resulting Numbers: [48, 11, 14]
Generated Node #0,0: 55:[48, 11, 14] Operation: 70/5=14
Exploring Operation: 70-48=22, Resulting Numbers: [5, 11, 22]
Generated Node #0,1: 55:[5, 11, 22] Operation: 70-48=22
Exploring Operation: 70-11=59, Resulting Numbers: [48, 5, 59]
Generated Node #0,2: 55:[48, 5, 59] Operation: 70-11=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[48, 11, 14], Operations: ['70/5=14']
Exploring Operation: 48+14=62, Resulting Numbers: [11, 62]
Generated Node #0,0,0: 55:[11, 62] Operation: 48+14=62
Exploring Operation: 48+11=59, Resulting Numbers: [14, 59]
Generated Node #0,0,1: 55:[14, 59] Operation: 48+11=59
Exploring Operation: 14-11=3, Resulting Numbers: [48, 3]
Generated Node #0,0,2: 55:[48, 3] Operation: 14-11=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[11, 62], Operations: ['70/5=14', '48+14=62']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 11*62=682, Resulting Numbers: [682]
682,55 unequal: No Solution
Exploring Operation: 11+62=73, Resulting Numbers: [73]
73,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[14, 59], Operations: ['70/5=14', '48+11=59']
Exploring Operation: 14+59=73, Resulting Numbers: [73]
73,55 unequal: No Solution
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,55 unequal: No Solution
Exploring Operation: 14*59=826, Resulting Numbers: [826]
826,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 55:[48, 3], Operations: ['70/5=14', '14-11=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,55 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[5, 11, 22], Operations: ['70-48=22']
Exploring Operation: 22-11=11, Resulting Numbers: [5, 11]
Generated Node #0,1,0: 55:[5, 11] Operation: 22-11=11
Exploring Operation: 22-5=17, Resulting Numbers: [11, 17]
Generated Node #0,1,1: 55:[11, 17] Operation: 22-5=17
Exploring Operation: 22/11=2, Resulting Numbers: [5, 2]
Generated Node #0,1,2: 55:[5, 2] Operation: 22/11=2
Moving to Node #0,1,0
Current State: 55:[5, 11], Operations: ['70-48=22', '22-11=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[70, 48, 5, 11], Operations: []
Exploring Operation: 70-48=22, Resulting Numbers: [5, 11, 22]
Generated Node #0,1: 55:[5, 11, 22] Operation: 70-48=22
Moving to Node #0,1
Current State: 55:[5, 11, 22], Operations: ['70-48=22']
Exploring Operation: 22-11=11, Resulting Numbers: [5, 11]
Generated Node #0,1,0: 55:[5, 11] Operation: 22-11=11
Moving to Node #0,1,0
Current State: 55:[5, 11], Operations: ['70-48=22', '22-11=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
78,
61,
44,
10
] | 59 | [
"78+10=88",
"88/44=2",
"61-2=59"
] | Current State: 59:[78, 61, 44, 10], Operations: []
Exploring Operation: 78+10=88, Resulting Numbers: [61, 44, 88]
Generated Node #2: [61, 44, 88] from Operation: 78+10=88
Current State: 59:[61, 44, 88], Operations: ['78+10=88']
Exploring Operation: 88/44=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 88/44=2
Current State: 59:[61, 2], Operations: ['78+10=88', '88/44=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[78, 61, 44, 10], Operations: []
Exploring Operation: 78-10=68, Resulting Numbers: [61, 44, 68]
Generated Node #0,0: 59:[61, 44, 68] Operation: 78-10=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[61, 44, 68], Operations: ['78-10=68']
Exploring Operation: 68-44=24, Resulting Numbers: [61, 24]
Generated Node #0,0,0: 59:[61, 24] Operation: 68-44=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[61, 24], Operations: ['78-10=68', '68-44=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,59 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 |
[
79,
13,
70,
70
] | 92 | [
"79+13=92",
"70-70=0",
"92+0=92"
] | Current State: 92:[79, 13, 70, 70], Operations: []
Exploring Operation: 79+13=92, Resulting Numbers: [70, 70, 92]
Generated Node #2: [70, 70, 92] from Operation: 79+13=92
Current State: 92:[70, 70, 92], Operations: ['79+13=92']
Exploring Operation: 70-70=0, Resulting Numbers: [92, 0]
Generated Node #3: [92, 0] from Operation: 70-70=0
Current State: 92:[92, 0], Operations: ['79+13=92', '70-70=0']
Exploring Operation: 92+0=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[79, 13, 70, 70], Operations: []
Exploring Operation: 79-70=9, Resulting Numbers: [13, 70, 9]
Generated Node #0,0: 92:[13, 70, 9] Operation: 79-70=9
Exploring Operation: 70/70=1, Resulting Numbers: [79, 13, 1]
Generated Node #0,1: 92:[79, 13, 1] Operation: 70/70=1
Exploring Operation: 70-70=0, Resulting Numbers: [79, 13, 0]
Generated Node #0,2: 92:[79, 13, 0] Operation: 70-70=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[79, 13, 1], Operations: ['70/70=1']
Exploring Operation: 79+13=92, Resulting Numbers: [1, 92]
Generated Node #0,1,0: 92:[1, 92] Operation: 79+13=92
Exploring Operation: 79-13=66, Resulting Numbers: [1, 66]
Generated Node #0,1,1: 92:[1, 66] Operation: 79-13=66
Exploring Operation: 79+1=80, Resulting Numbers: [13, 80]
Generated Node #0,1,2: 92:[13, 80] Operation: 79+1=80
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[1, 92], Operations: ['70/70=1', '79+13=92']
Exploring Operation: 1*92=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[79, 13, 70, 70], Operations: []
Exploring Operation: 70/70=1, Resulting Numbers: [79, 13, 1]
Generated Node #0,1: 92:[79, 13, 1] Operation: 70/70=1
Moving to Node #0,1
Current State: 92:[79, 13, 1], Operations: ['70/70=1']
Exploring Operation: 79+13=92, Resulting Numbers: [1, 92]
Generated Node #0,1,0: 92:[1, 92] Operation: 79+13=92
Moving to Node #0,1,0
Current State: 92:[1, 92], Operations: ['70/70=1', '79+13=92']
Exploring Operation: 1*92=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
45,
18,
27,
94
] | 58 | [
"45+18=63",
"27+94=121",
"121-63=58"
] | Current State: 58:[45, 18, 27, 94], Operations: []
Exploring Operation: 45+18=63, Resulting Numbers: [27, 94, 63]
Generated Node #2: [27, 94, 63] from Operation: 45+18=63
Current State: 58:[27, 94, 63], Operations: ['45+18=63']
Exploring Operation: 27+94=121, Resulting Numbers: [63, 121]
Generated Node #3: [63, 121] from Operation: 27+94=121
Current State: 58:[63, 121], Operations: ['45+18=63', '27+94=121']
Exploring Operation: 121-63=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[45, 18, 27, 94], Operations: []
Exploring Operation: 94-45=49, Resulting Numbers: [18, 27, 49]
Generated Node #0,0: 58:[18, 27, 49] Operation: 94-45=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[18, 27, 49], Operations: ['94-45=49']
Exploring Operation: 49-18=31, Resulting Numbers: [27, 31]
Generated Node #0,0,0: 58:[27, 31] Operation: 49-18=31
Moving to Node #0,0,0
Current State: 58:[27, 31], Operations: ['94-45=49', '49-18=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[45, 18, 27, 94], Operations: []
Exploring Operation: 94-45=49, Resulting Numbers: [18, 27, 49]
Generated Node #0,0: 58:[18, 27, 49] Operation: 94-45=49
Moving to Node #0,0
Current State: 58:[18, 27, 49], Operations: ['94-45=49']
Exploring Operation: 49-18=31, Resulting Numbers: [27, 31]
Generated Node #0,0,0: 58:[27, 31] Operation: 49-18=31
Moving to Node #0,0,0
Current State: 58:[27, 31], Operations: ['94-45=49', '49-18=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
76,
58,
69,
25
] | 62 | [
"76-58=18",
"69-25=44",
"18+44=62"
] | Current State: 62:[76, 58, 69, 25], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [69, 25, 18]
Generated Node #2: [69, 25, 18] from Operation: 76-58=18
Current State: 62:[69, 25, 18], Operations: ['76-58=18']
Exploring Operation: 69-25=44, Resulting Numbers: [18, 44]
Generated Node #3: [18, 44] from Operation: 69-25=44
Current State: 62:[18, 44], Operations: ['76-58=18', '69-25=44']
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[76, 58, 69, 25], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [76, 25, 11]
Generated Node #0,0: 62:[76, 25, 11] Operation: 69-58=11
Exploring Operation: 58-25=33, Resulting Numbers: [76, 69, 33]
Generated Node #0,1: 62:[76, 69, 33] Operation: 58-25=33
Exploring Operation: 76-69=7, Resulting Numbers: [58, 25, 7]
Generated Node #0,2: 62:[58, 25, 7] Operation: 76-69=7
Exploring Operation: 76-58=18, Resulting Numbers: [69, 25, 18]
Generated Node #0,3: 62:[69, 25, 18] Operation: 76-58=18
Exploring Operation: 76-25=51, Resulting Numbers: [58, 69, 51]
Generated Node #0,4: 62:[58, 69, 51] Operation: 76-25=51
Moving to Node #0,2
Current State: 62:[58, 25, 7], Operations: ['76-69=7']
Exploring Operation: 58-25=33, Resulting Numbers: [7, 33]
Generated Node #0,2,0: 62:[7, 33] Operation: 58-25=33
Exploring Operation: 25+7=32, Resulting Numbers: [58, 32]
Generated Node #0,2,1: 62:[58, 32] Operation: 25+7=32
Exploring Operation: 58+7=65, Resulting Numbers: [25, 65]
Generated Node #0,2,2: 62:[25, 65] Operation: 58+7=65
Exploring Operation: 25-7=18, Resulting Numbers: [58, 18]
Generated Node #0,2,3: 62:[58, 18] Operation: 25-7=18
Exploring Operation: 58-7=51, Resulting Numbers: [25, 51]
Generated Node #0,2,4: 62:[25, 51] Operation: 58-7=51
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[58, 32], Operations: ['76-69=7', '25+7=32']
Exploring Operation: 58*32=1856, Resulting Numbers: [1856]
1856,62 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[7, 33], Operations: ['76-69=7', '58-25=33']
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 7*33=231, Resulting Numbers: [231]
231,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[25, 65], Operations: ['76-69=7', '58+7=65']
Exploring Operation: 25+65=90, Resulting Numbers: [90]
90,62 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 25*65=1625, Resulting Numbers: [1625]
1625,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 62:[58, 18], Operations: ['76-69=7', '25-7=18']
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 58*18=1044, Resulting Numbers: [1044]
1044,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 62:[25, 51], Operations: ['76-69=7', '58-7=51']
Exploring Operation: 25+51=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 25*51=1275, Resulting Numbers: [1275]
1275,62 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,62 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: 62:[58, 69, 51], Operations: ['76-25=51']
Exploring Operation: 69+51=120, Resulting Numbers: [58, 120]
Generated Node #0,4,0: 62:[58, 120] Operation: 69+51=120
Exploring Operation: 69-58=11, Resulting Numbers: [51, 11]
Generated Node #0,4,1: 62:[51, 11] Operation: 69-58=11
Exploring Operation: 58+51=109, Resulting Numbers: [69, 109]
Generated Node #0,4,2: 62:[69, 109] Operation: 58+51=109
Exploring Operation: 69-51=18, Resulting Numbers: [58, 18]
Generated Node #0,4,3: 62:[58, 18] Operation: 69-51=18
Exploring Operation: 58-51=7, Resulting Numbers: [69, 7]
Generated Node #0,4,4: 62:[69, 7] Operation: 58-51=7
Moving to Node #0,1
Current State: 62:[76, 69, 33], Operations: ['58-25=33']
Exploring Operation: 76-33=43, Resulting Numbers: [69, 43]
Generated Node #0,1,0: 62:[69, 43] Operation: 76-33=43
Exploring Operation: 76-69=7, Resulting Numbers: [33, 7]
Generated Node #0,1,1: 62:[33, 7] Operation: 76-69=7
Exploring Operation: 69-33=36, Resulting Numbers: [76, 36]
Generated Node #0,1,2: 62:[76, 36] Operation: 69-33=36
Exploring Operation: 76+33=109, Resulting Numbers: [69, 109]
Generated Node #0,1,3: 62:[69, 109] Operation: 76+33=109
Exploring Operation: 69+33=102, Resulting Numbers: [76, 102]
Generated Node #0,1,4: 62:[76, 102] Operation: 69+33=102
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[33, 7], Operations: ['58-25=33', '76-69=7']
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 33*7=231, Resulting Numbers: [231]
231,62 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[69, 43], Operations: ['58-25=33', '76-33=43']
Exploring Operation: 69*43=2967, Resulting Numbers: [2967]
2967,62 unequal: No Solution
Exploring Operation: 69-43=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 69+43=112, Resulting Numbers: [112]
112,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[76, 36], Operations: ['58-25=33', '69-33=36']
Exploring Operation: 76*36=2736, Resulting Numbers: [2736]
2736,62 unequal: No Solution
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 76+36=112, Resulting Numbers: [112]
112,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 62:[69, 109], Operations: ['58-25=33', '76+33=109']
Exploring Operation: 69+109=178, Resulting Numbers: [178]
178,62 unequal: No Solution
Exploring Operation: 109-69=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 69*109=7521, Resulting Numbers: [7521]
7521,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 62:[76, 102], Operations: ['58-25=33', '69+33=102']
Exploring Operation: 76*102=7752, Resulting Numbers: [7752]
7752,62 unequal: No Solution
Exploring Operation: 76+102=178, Resulting Numbers: [178]
178,62 unequal: No Solution
Exploring Operation: 102-76=26, Resulting Numbers: [26]
26,62 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: 62:[69, 25, 18], Operations: ['76-58=18']
Exploring Operation: 69-18=51, Resulting Numbers: [25, 51]
Generated Node #0,3,0: 62:[25, 51] Operation: 69-18=51
Exploring Operation: 69+18=87, Resulting Numbers: [25, 87]
Generated Node #0,3,1: 62:[25, 87] Operation: 69+18=87
Exploring Operation: 25+18=43, Resulting Numbers: [69, 43]
Generated Node #0,3,2: 62:[69, 43] Operation: 25+18=43
Exploring Operation: 69-25=44, Resulting Numbers: [18, 44]
Generated Node #0,3,3: 62:[18, 44] Operation: 69-25=44
Exploring Operation: 25-18=7, Resulting Numbers: [69, 7]
Generated Node #0,3,4: 62:[69, 7] Operation: 25-18=7
Moving to Node #0,0
Current State: 62:[76, 25, 11], Operations: ['69-58=11']
Exploring Operation: 76-25=51, Resulting Numbers: [11, 51]
Generated Node #0,0,0: 62:[11, 51] Operation: 76-25=51
Exploring Operation: 76-11=65, Resulting Numbers: [25, 65]
Generated Node #0,0,1: 62:[25, 65] Operation: 76-11=65
Exploring Operation: 76+11=87, Resulting Numbers: [25, 87]
Generated Node #0,0,2: 62:[25, 87] Operation: 76+11=87
Exploring Operation: 25+11=36, Resulting Numbers: [76, 36]
Generated Node #0,0,3: 62:[76, 36] Operation: 25+11=36
Exploring Operation: 25-11=14, Resulting Numbers: [76, 14]
Generated Node #0,0,4: 62:[76, 14] Operation: 25-11=14
Moving to Node #0,0,1
Current State: 62:[25, 65], Operations: ['69-58=11', '76-11=65']
Exploring Operation: 25*65=1625, Resulting Numbers: [1625]
1625,62 unequal: No Solution
Exploring Operation: 25+65=90, Resulting Numbers: [90]
90,62 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Moving to Node #0,3,4
Current State: 62:[69, 7], Operations: ['76-58=18', '25-18=7']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[76, 58, 69, 25], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [69, 25, 18]
Generated Node #0,3: 62:[69, 25, 18] Operation: 76-58=18
Moving to Node #0,3
Current State: 62:[69, 25, 18], Operations: ['76-58=18']
Exploring Operation: 25-18=7, Resulting Numbers: [69, 7]
Generated Node #0,3,4: 62:[69, 7] Operation: 25-18=7
Moving to Node #0,3,4
Current State: 62:[69, 7], Operations: ['76-58=18', '25-18=7']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.940972 | hs_5 | sum_heuristic |
[
87,
48,
82,
35
] | 87 | [
"82-48=34",
"35-34=1",
"87*1=87"
] | Current State: 87:[87, 48, 82, 35], Operations: []
Exploring Operation: 82-48=34, Resulting Numbers: [87, 35, 34]
Generated Node #2: [87, 35, 34] from Operation: 82-48=34
Current State: 87:[87, 35, 34], Operations: ['82-48=34']
Exploring Operation: 35-34=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 35-34=1
Current State: 87:[87, 1], Operations: ['82-48=34', '35-34=1']
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[87, 48, 82, 35], Operations: []
Exploring Operation: 48-35=13, Resulting Numbers: [87, 82, 13]
Generated Node #0,0: 87:[87, 82, 13] Operation: 48-35=13
Exploring Operation: 48+35=83, Resulting Numbers: [87, 82, 83]
Generated Node #0,1: 87:[87, 82, 83] Operation: 48+35=83
Exploring Operation: 82-48=34, Resulting Numbers: [87, 35, 34]
Generated Node #0,2: 87:[87, 35, 34] Operation: 82-48=34
Moving to Node #0,1
Current State: 87:[87, 82, 83], Operations: ['48+35=83']
Exploring Operation: 83-82=1, Resulting Numbers: [87, 1]
Generated Node #0,1,0: 87:[87, 1] Operation: 83-82=1
Exploring Operation: 87-83=4, Resulting Numbers: [82, 4]
Generated Node #0,1,1: 87:[82, 4] Operation: 87-83=4
Exploring Operation: 87-82=5, Resulting Numbers: [83, 5]
Generated Node #0,1,2: 87:[83, 5] Operation: 87-82=5
Moving to Node #0,2
Current State: 87:[87, 35, 34], Operations: ['82-48=34']
Exploring Operation: 35+34=69, Resulting Numbers: [87, 69]
Generated Node #0,2,0: 87:[87, 69] Operation: 35+34=69
Exploring Operation: 35-34=1, Resulting Numbers: [87, 1]
Generated Node #0,2,1: 87:[87, 1] Operation: 35-34=1
Exploring Operation: 87-35=52, Resulting Numbers: [34, 52]
Generated Node #0,2,2: 87:[34, 52] Operation: 87-35=52
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 87:[87, 1], Operations: ['82-48=34', '35-34=1']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[87, 48, 82, 35], Operations: []
Exploring Operation: 82-48=34, Resulting Numbers: [87, 35, 34]
Generated Node #0,2: 87:[87, 35, 34] Operation: 82-48=34
Moving to Node #0,2
Current State: 87:[87, 35, 34], Operations: ['82-48=34']
Exploring Operation: 35-34=1, Resulting Numbers: [87, 1]
Generated Node #0,2,1: 87:[87, 1] Operation: 35-34=1
Moving to Node #0,2,1
Current State: 87:[87, 1], Operations: ['82-48=34', '35-34=1']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
78,
9,
59,
24
] | 53 | [
"78-24=54",
"54/9=6",
"59-6=53"
] | Current State: 53:[78, 9, 59, 24], Operations: []
Exploring Operation: 78-24=54, Resulting Numbers: [9, 59, 54]
Generated Node #2: [9, 59, 54] from Operation: 78-24=54
Current State: 53:[9, 59, 54], Operations: ['78-24=54']
Exploring Operation: 54/9=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 54/9=6
Current State: 53:[59, 6], Operations: ['78-24=54', '54/9=6']
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[78, 9, 59, 24], Operations: []
Exploring Operation: 78-9=69, Resulting Numbers: [59, 24, 69]
Generated Node #0,0: 53:[59, 24, 69] Operation: 78-9=69
Exploring Operation: 78-24=54, Resulting Numbers: [9, 59, 54]
Generated Node #0,1: 53:[9, 59, 54] Operation: 78-24=54
Exploring Operation: 9+24=33, Resulting Numbers: [78, 59, 33]
Generated Node #0,2: 53:[78, 59, 33] Operation: 9+24=33
Moving to Node #0,0
Current State: 53:[59, 24, 69], Operations: ['78-9=69']
Exploring Operation: 59+24=83, Resulting Numbers: [69, 83]
Generated Node #0,0,0: 53:[69, 83] Operation: 59+24=83
Exploring Operation: 59-24=35, Resulting Numbers: [69, 35]
Generated Node #0,0,1: 53:[69, 35] Operation: 59-24=35
Exploring Operation: 69-24=45, Resulting Numbers: [59, 45]
Generated Node #0,0,2: 53:[59, 45] Operation: 69-24=45
Moving to Node #0,1
Current State: 53:[9, 59, 54], Operations: ['78-24=54']
Exploring Operation: 54-9=45, Resulting Numbers: [59, 45]
Generated Node #0,1,0: 53:[59, 45] Operation: 54-9=45
Exploring Operation: 59-9=50, Resulting Numbers: [54, 50]
Generated Node #0,1,1: 53:[54, 50] Operation: 59-9=50
Exploring Operation: 9+59=68, Resulting Numbers: [54, 68]
Generated Node #0,1,2: 53:[54, 68] Operation: 9+59=68
Moving to Node #0,2
Current State: 53:[78, 59, 33], Operations: ['9+24=33']
Exploring Operation: 59-33=26, Resulting Numbers: [78, 26]
Generated Node #0,2,0: 53:[78, 26] Operation: 59-33=26
Exploring Operation: 78-33=45, Resulting Numbers: [59, 45]
Generated Node #0,2,1: 53:[59, 45] Operation: 78-33=45
Exploring Operation: 78-59=19, Resulting Numbers: [33, 19]
Generated Node #0,2,2: 53:[33, 19] Operation: 78-59=19
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[59, 45], Operations: ['9+24=33', '78-33=45']
Exploring Operation: 59*45=2655, Resulting Numbers: [2655]
2655,53 unequal: No Solution
Exploring Operation: 59+45=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,53 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:[78, 26], Operations: ['9+24=33', '59-33=26']
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 78/26=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 #0,2,2
Current State: 53:[33, 19], Operations: ['9+24=33', '78-59=19']
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Exploring Operation: 33*19=627, Resulting Numbers: [627]
627,53 unequal: No Solution
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,53 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: 53:[54, 50], Operations: ['78-24=54', '59-9=50']
Exploring Operation: 54+50=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 54*50=2700, Resulting Numbers: [2700]
2700,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[59, 45], Operations: ['78-9=69', '69-24=45']
Exploring Operation: 59*45=2655, Resulting Numbers: [2655]
2655,53 unequal: No Solution
Exploring Operation: 59+45=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[59, 45], Operations: ['78-24=54', '54-9=45']
Exploring Operation: 59+45=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 59*45=2655, Resulting Numbers: [2655]
2655,53 unequal: No Solution
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[54, 68], Operations: ['78-24=54', '9+59=68']
Exploring Operation: 54*68=3672, Resulting Numbers: [3672]
3672,53 unequal: No Solution
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Exploring Operation: 54+68=122, Resulting Numbers: [122]
122,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[69, 35], Operations: ['78-9=69', '59-24=35']
Exploring Operation: 69*35=2415, Resulting Numbers: [2415]
2415,53 unequal: No Solution
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 69+35=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[69, 83], Operations: ['78-9=69', '59+24=83']
Exploring Operation: 69+83=152, Resulting Numbers: [152]
152,53 unequal: No Solution
Exploring Operation: 69*83=5727, Resulting Numbers: [5727]
5727,53 unequal: No Solution
Exploring Operation: 83-69=14, Resulting Numbers: [14]
14,53 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
49,
99,
45,
5
] | 19 | [
"99-49=50",
"45+50=95",
"95/5=19"
] | Current State: 19:[49, 99, 45, 5], Operations: []
Exploring Operation: 99-49=50, Resulting Numbers: [45, 5, 50]
Generated Node #2: [45, 5, 50] from Operation: 99-49=50
Current State: 19:[45, 5, 50], Operations: ['99-49=50']
Exploring Operation: 45+50=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 45+50=95
Current State: 19:[5, 95], Operations: ['99-49=50', '45+50=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[49, 99, 45, 5], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [99, 5, 4]
Generated Node #0,0: 19:[99, 5, 4] Operation: 49-45=4
Exploring Operation: 99-49=50, Resulting Numbers: [45, 5, 50]
Generated Node #0,1: 19:[45, 5, 50] Operation: 99-49=50
Exploring Operation: 99-45=54, Resulting Numbers: [49, 5, 54]
Generated Node #0,2: 19:[49, 5, 54] Operation: 99-45=54
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[45, 5, 50], Operations: ['99-49=50']
Exploring Operation: 45/5=9, Resulting Numbers: [50, 9]
Generated Node #0,1,0: 19:[50, 9] Operation: 45/5=9
Exploring Operation: 50/5=10, Resulting Numbers: [45, 10]
Generated Node #0,1,1: 19:[45, 10] Operation: 50/5=10
Exploring Operation: 50-45=5, Resulting Numbers: [5, 5]
Generated Node #0,1,2: 19:[5, 5] Operation: 50-45=5
Moving to Node #0,1,2
Current State: 19:[5, 5], Operations: ['99-49=50', '50-45=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[45, 10], Operations: ['99-49=50', '50/5=10']
Exploring Operation: 45*10=450, Resulting Numbers: [450]
450,19 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,19 unequal: No Solution
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[50, 9], Operations: ['99-49=50', '45/5=9']
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,19 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 #0,2
Current State: 19:[49, 5, 54], Operations: ['99-45=54']
Exploring Operation: 54-5=49, Resulting Numbers: [49, 49]
Generated Node #0,2,0: 19:[49, 49] Operation: 54-5=49
Exploring Operation: 49-5=44, Resulting Numbers: [54, 44]
Generated Node #0,2,1: 19:[54, 44] Operation: 49-5=44
Exploring Operation: 54-49=5, Resulting Numbers: [5, 5]
Generated Node #0,2,2: 19:[5, 5] Operation: 54-49=5
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 19:[5, 5], Operations: ['99-45=54', '54-49=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 19:[49, 49], Operations: ['99-45=54', '54-5=49']
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,19 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 19:[54, 44], Operations: ['99-45=54', '49-5=44']
Exploring Operation: 54*44=2376, Resulting Numbers: [2376]
2376,19 unequal: No Solution
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,19 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: 19:[99, 5, 4], Operations: ['49-45=4']
Exploring Operation: 99-5=94, Resulting Numbers: [4, 94]
Generated Node #0,0,0: 19:[4, 94] Operation: 99-5=94
Exploring Operation: 5*4=20, Resulting Numbers: [99, 20]
Generated Node #0,0,1: 19:[99, 20] Operation: 5*4=20
Exploring Operation: 99-4=95, Resulting Numbers: [5, 95]
Generated Node #0,0,2: 19:[5, 95] Operation: 99-4=95
Moving to Node #0,0,1
Current State: 19:[99, 20], Operations: ['49-45=4', '5*4=20']
Exploring Operation: 99+20=119, Resulting Numbers: [119]
119,19 unequal: No Solution
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,19 unequal: No Solution
Exploring Operation: 99*20=1980, Resulting Numbers: [1980]
1980,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[4, 94], Operations: ['49-45=4', '99-5=94']
Exploring Operation: 4*94=376, Resulting Numbers: [376]
376,19 unequal: No Solution
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,19 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[5, 95], Operations: ['49-45=4', '99-4=95']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[49, 99, 45, 5], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [99, 5, 4]
Generated Node #0,0: 19:[99, 5, 4] Operation: 49-45=4
Moving to Node #0,0
Current State: 19:[99, 5, 4], Operations: ['49-45=4']
Exploring Operation: 99-4=95, Resulting Numbers: [5, 95]
Generated Node #0,0,2: 19:[5, 95] Operation: 99-4=95
Moving to Node #0,0,2
Current State: 19:[5, 95], Operations: ['49-45=4', '99-4=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_3 | sum_heuristic |
[
92,
98,
20,
25
] | 30 | [
"98-92=6",
"25-20=5",
"6*5=30"
] | Current State: 30:[92, 98, 20, 25], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [20, 25, 6]
Generated Node #2: [20, 25, 6] from Operation: 98-92=6
Current State: 30:[20, 25, 6], Operations: ['98-92=6']
Exploring Operation: 25-20=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 25-20=5
Current State: 30:[6, 5], Operations: ['98-92=6', '25-20=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[92, 98, 20, 25], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [20, 25, 6]
Generated Node #0,0: 30:[20, 25, 6] Operation: 98-92=6
Moving to Node #0,0
Current State: 30:[20, 25, 6], Operations: ['98-92=6']
Exploring Operation: 25-20=5, Resulting Numbers: [6, 5]
Generated Node #0,0,0: 30:[6, 5] Operation: 25-20=5
Moving to Node #0,0,0
Current State: 30:[6, 5], Operations: ['98-92=6', '25-20=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[92, 98, 20, 25], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [20, 25, 6]
Generated Node #0,0: 30:[20, 25, 6] Operation: 98-92=6
Moving to Node #0,0
Current State: 30:[20, 25, 6], Operations: ['98-92=6']
Exploring Operation: 25-20=5, Resulting Numbers: [6, 5]
Generated Node #0,0,0: 30:[6, 5] Operation: 25-20=5
Moving to Node #0,0,0
Current State: 30:[6, 5], Operations: ['98-92=6', '25-20=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
62,
10,
27,
42
] | 93 | [
"42-27=15",
"62*15=930",
"930/10=93"
] | Current State: 93:[62, 10, 27, 42], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [62, 10, 15]
Generated Node #2: [62, 10, 15] from Operation: 42-27=15
Current State: 93:[62, 10, 15], Operations: ['42-27=15']
Exploring Operation: 62*15=930, Resulting Numbers: [10, 930]
Generated Node #3: [10, 930] from Operation: 62*15=930
Current State: 93:[10, 930], Operations: ['42-27=15', '62*15=930']
Exploring Operation: 930/10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[62, 10, 27, 42], Operations: []
Exploring Operation: 62-42=20, Resulting Numbers: [10, 27, 20]
Generated Node #0,0: 93:[10, 27, 20] Operation: 62-42=20
Exploring Operation: 62+27=89, Resulting Numbers: [10, 42, 89]
Generated Node #0,1: 93:[10, 42, 89] Operation: 62+27=89
Exploring Operation: 62-27=35, Resulting Numbers: [10, 42, 35]
Generated Node #0,2: 93:[10, 42, 35] Operation: 62-27=35
Exploring Operation: 62+10=72, Resulting Numbers: [27, 42, 72]
Generated Node #0,3: 93:[27, 42, 72] Operation: 62+10=72
Exploring Operation: 62+42=104, Resulting Numbers: [10, 27, 104]
Generated Node #0,4: 93:[10, 27, 104] Operation: 62+42=104
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[10, 27, 20], Operations: ['62-42=20']
Exploring Operation: 10+27=37, Resulting Numbers: [20, 37]
Generated Node #0,0,0: 93:[20, 37] Operation: 10+27=37
Exploring Operation: 20/10=2, Resulting Numbers: [27, 2]
Generated Node #0,0,1: 93:[27, 2] Operation: 20/10=2
Exploring Operation: 10+20=30, Resulting Numbers: [27, 30]
Generated Node #0,0,2: 93:[27, 30] Operation: 10+20=30
Exploring Operation: 27-20=7, Resulting Numbers: [10, 7]
Generated Node #0,0,3: 93:[10, 7] Operation: 27-20=7
Exploring Operation: 20-10=10, Resulting Numbers: [27, 10]
Generated Node #0,0,4: 93:[27, 10] Operation: 20-10=10
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[27, 2], Operations: ['62-42=20', '20/10=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,93 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 #0,0,2
Current State: 93:[27, 30], Operations: ['62-42=20', '10+20=30']
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 27*30=810, Resulting Numbers: [810]
810,93 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 #0,0,3
Current State: 93:[10, 7], Operations: ['62-42=20', '27-20=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,93 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,93 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 #0,0,4
Current State: 93:[27, 10], Operations: ['62-42=20', '20-10=10']
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,93 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,93 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 #0,0,0
Current State: 93:[20, 37], Operations: ['62-42=20', '10+27=37']
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 20*37=740, Resulting Numbers: [740]
740,93 unequal: No Solution
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,93 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 #0,1
Current State: 93:[10, 42, 89], Operations: ['62+27=89']
Exploring Operation: 89-10=79, Resulting Numbers: [42, 79]
Generated Node #0,1,0: 93:[42, 79] Operation: 89-10=79
Exploring Operation: 89-42=47, Resulting Numbers: [10, 47]
Generated Node #0,1,1: 93:[10, 47] Operation: 89-42=47
Exploring Operation: 10+89=99, Resulting Numbers: [42, 99]
Generated Node #0,1,2: 93:[42, 99] Operation: 10+89=99
Exploring Operation: 10+42=52, Resulting Numbers: [89, 52]
Generated Node #0,1,3: 93:[89, 52] Operation: 10+42=52
Exploring Operation: 42-10=32, Resulting Numbers: [89, 32]
Generated Node #0,1,4: 93:[89, 32] Operation: 42-10=32
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 93:[89, 32], Operations: ['62+27=89', '42-10=32']
Exploring Operation: 89+32=121, Resulting Numbers: [121]
121,93 unequal: No Solution
Exploring Operation: 89*32=2848, Resulting Numbers: [2848]
2848,93 unequal: No Solution
Exploring Operation: 89-32=57, Resulting Numbers: [57]
57,93 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:[42, 99], Operations: ['62+27=89', '10+89=99']
Exploring Operation: 99-42=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 42*99=4158, Resulting Numbers: [4158]
4158,93 unequal: No Solution
Exploring Operation: 42+99=141, Resulting Numbers: [141]
141,93 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 #0,1,1
Current State: 93:[10, 47], Operations: ['62+27=89', '89-42=47']
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 10*47=470, Resulting Numbers: [470]
470,93 unequal: No Solution
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,93 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:[42, 79], Operations: ['62+27=89', '89-10=79']
Exploring Operation: 42+79=121, Resulting Numbers: [121]
121,93 unequal: No Solution
Exploring Operation: 79-42=37, Resulting Numbers: [37]
37,93 unequal: No Solution
Exploring Operation: 42*79=3318, Resulting Numbers: [3318]
3318,93 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:[89, 52], Operations: ['62+27=89', '10+42=52']
Exploring Operation: 89*52=4628, Resulting Numbers: [4628]
4628,93 unequal: No Solution
Exploring Operation: 89+52=141, Resulting Numbers: [141]
141,93 unequal: No Solution
Exploring Operation: 89-52=37, Resulting Numbers: [37]
37,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[10, 42, 35], Operations: ['62-27=35']
Exploring Operation: 35-10=25, Resulting Numbers: [42, 25]
Generated Node #0,2,0: 93:[42, 25] Operation: 35-10=25
Exploring Operation: 42+35=77, Resulting Numbers: [10, 77]
Generated Node #0,2,1: 93:[10, 77] Operation: 42+35=77
Exploring Operation: 10+42=52, Resulting Numbers: [35, 52]
Generated Node #0,2,2: 93:[35, 52] Operation: 10+42=52
Exploring Operation: 42-10=32, Resulting Numbers: [35, 32]
Generated Node #0,2,3: 93:[35, 32] Operation: 42-10=32
Exploring Operation: 42-35=7, Resulting Numbers: [10, 7]
Generated Node #0,2,4: 93:[10, 7] Operation: 42-35=7
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 93:[35, 32], Operations: ['62-27=35', '42-10=32']
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,93 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,93 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 #0,2,4
Current State: 93:[10, 7], Operations: ['62-27=35', '42-35=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,93 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,93 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:[42, 25], Operations: ['62-27=35', '35-10=25']
Exploring Operation: 42*25=1050, Resulting Numbers: [1050]
1050,93 unequal: No Solution
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 42+25=67, Resulting Numbers: [67]
67,93 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:[10, 77], Operations: ['62-27=35', '42+35=77']
Exploring Operation: 10*77=770, Resulting Numbers: [770]
770,93 unequal: No Solution
Exploring Operation: 10+77=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,93 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 #0,2,2
Current State: 93:[35, 52], Operations: ['62-27=35', '10+42=52']
Exploring Operation: 35*52=1820, Resulting Numbers: [1820]
1820,93 unequal: No Solution
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 35+52=87, Resulting Numbers: [87]
87,93 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 #0,4
Current State: 93:[10, 27, 104], Operations: ['62+42=104']
Exploring Operation: 10+104=114, Resulting Numbers: [27, 114]
Generated Node #0,4,0: 93:[27, 114] Operation: 10+104=114
Exploring Operation: 27-10=17, Resulting Numbers: [104, 17]
Generated Node #0,4,1: 93:[104, 17] Operation: 27-10=17
Exploring Operation: 104-10=94, Resulting Numbers: [27, 94]
Generated Node #0,4,2: 93:[27, 94] Operation: 104-10=94
Exploring Operation: 104-27=77, Resulting Numbers: [10, 77]
Generated Node #0,4,3: 93:[10, 77] Operation: 104-27=77
Exploring Operation: 10+27=37, Resulting Numbers: [104, 37]
Generated Node #0,4,4: 93:[104, 37] Operation: 10+27=37
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 93:[27, 94], Operations: ['62+42=104', '104-10=94']
Exploring Operation: 27*94=2538, Resulting Numbers: [2538]
2538,93 unequal: No Solution
Exploring Operation: 27+94=121, Resulting Numbers: [121]
121,93 unequal: No Solution
Exploring Operation: 94-27=67, Resulting Numbers: [67]
67,93 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 #0,4,4
Current State: 93:[104, 37], Operations: ['62+42=104', '10+27=37']
Exploring Operation: 104+37=141, Resulting Numbers: [141]
141,93 unequal: No Solution
Exploring Operation: 104-37=67, Resulting Numbers: [67]
67,93 unequal: No Solution
Exploring Operation: 104*37=3848, Resulting Numbers: [3848]
3848,93 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 #0,4,3
Current State: 93:[10, 77], Operations: ['62+42=104', '104-27=77']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,93 unequal: No Solution
Exploring Operation: 10+77=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 10*77=770, Resulting Numbers: [770]
770,93 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 #0,4,0
Current State: 93:[27, 114], Operations: ['62+42=104', '10+104=114']
Exploring Operation: 114-27=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 27+114=141, Resulting Numbers: [141]
141,93 unequal: No Solution
Exploring Operation: 27*114=3078, Resulting Numbers: [3078]
3078,93 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 #0,4,1
Current State: 93:[104, 17], Operations: ['62+42=104', '27-10=17']
Exploring Operation: 104*17=1768, Resulting Numbers: [1768]
1768,93 unequal: No Solution
Exploring Operation: 104-17=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 104+17=121, Resulting Numbers: [121]
121,93 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 #0,3
Current State: 93:[27, 42, 72], Operations: ['62+10=72']
Exploring Operation: 27+72=99, Resulting Numbers: [42, 99]
Generated Node #0,3,0: 93:[42, 99] Operation: 27+72=99
Exploring Operation: 72-42=30, Resulting Numbers: [27, 30]
Generated Node #0,3,1: 93:[27, 30] Operation: 72-42=30
Exploring Operation: 72-27=45, Resulting Numbers: [42, 45]
Generated Node #0,3,2: 93:[42, 45] Operation: 72-27=45
Exploring Operation: 42-27=15, Resulting Numbers: [72, 15]
Generated Node #0,3,3: 93:[72, 15] Operation: 42-27=15
Exploring Operation: 42+72=114, Resulting Numbers: [27, 114]
Generated Node #0,3,4: 93:[27, 114] Operation: 42+72=114
Moving to Node #0,3,1
Current State: 93:[27, 30], Operations: ['62+10=72', '72-42=30']
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 27*30=810, Resulting Numbers: [810]
810,93 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[42, 99], Operations: ['62+10=72', '27+72=99']
Exploring Operation: 99-42=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 42+99=141, Resulting Numbers: [141]
141,93 unequal: No Solution
Exploring Operation: 42*99=4158, Resulting Numbers: [4158]
4158,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[42, 45], Operations: ['62+10=72', '72-27=45']
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 42+45=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 42*45=1890, Resulting Numbers: [1890]
1890,93 unequal: No Solution
Moving to Node #0,3,4
Current State: 93:[27, 114], Operations: ['62+10=72', '42+72=114']
Exploring Operation: 27+114=141, Resulting Numbers: [141]
141,93 unequal: No Solution
Exploring Operation: 114-27=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 27*114=3078, Resulting Numbers: [3078]
3078,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[72, 15], Operations: ['62+10=72', '42-27=15']
Exploring Operation: 72*15=1080, Resulting Numbers: [1080]
1080,93 unequal: No Solution
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,93 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 |
[
26,
63,
67,
65
] | 76 | [
"67-65=2",
"26/2=13",
"63+13=76"
] | Current State: 76:[26, 63, 67, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [26, 63, 2]
Generated Node #2: [26, 63, 2] from Operation: 67-65=2
Current State: 76:[26, 63, 2], Operations: ['67-65=2']
Exploring Operation: 26/2=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 26/2=13
Current State: 76:[63, 13], Operations: ['67-65=2', '26/2=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[26, 63, 67, 65], Operations: []
Exploring Operation: 63-26=37, Resulting Numbers: [67, 65, 37]
Generated Node #0,0: 76:[67, 65, 37] Operation: 63-26=37
Exploring Operation: 67-65=2, Resulting Numbers: [26, 63, 2]
Generated Node #0,1: 76:[26, 63, 2] Operation: 67-65=2
Exploring Operation: 65-63=2, Resulting Numbers: [26, 67, 2]
Generated Node #0,2: 76:[26, 67, 2] Operation: 65-63=2
Exploring Operation: 67-63=4, Resulting Numbers: [26, 65, 4]
Generated Node #0,3: 76:[26, 65, 4] Operation: 67-63=4
Moving to Node #0,2
Current State: 76:[26, 67, 2], Operations: ['65-63=2']
Exploring Operation: 67-26=41, Resulting Numbers: [2, 41]
Generated Node #0,2,0: 76:[2, 41] Operation: 67-26=41
Exploring Operation: 67+2=69, Resulting Numbers: [26, 69]
Generated Node #0,2,1: 76:[26, 69] Operation: 67+2=69
Exploring Operation: 26-2=24, Resulting Numbers: [67, 24]
Generated Node #0,2,2: 76:[67, 24] Operation: 26-2=24
Exploring Operation: 26/2=13, Resulting Numbers: [67, 13]
Generated Node #0,2,3: 76:[67, 13] Operation: 26/2=13
Moving to Node #0,3
Current State: 76:[26, 65, 4], Operations: ['67-63=4']
Exploring Operation: 65-26=39, Resulting Numbers: [4, 39]
Generated Node #0,3,0: 76:[4, 39] Operation: 65-26=39
Exploring Operation: 26-4=22, Resulting Numbers: [65, 22]
Generated Node #0,3,1: 76:[65, 22] Operation: 26-4=22
Exploring Operation: 65+4=69, Resulting Numbers: [26, 69]
Generated Node #0,3,2: 76:[26, 69] Operation: 65+4=69
Exploring Operation: 26+65=91, Resulting Numbers: [4, 91]
Generated Node #0,3,3: 76:[4, 91] Operation: 26+65=91
Moving to Node #0,1
Current State: 76:[26, 63, 2], Operations: ['67-65=2']
Exploring Operation: 63+2=65, Resulting Numbers: [26, 65]
Generated Node #0,1,0: 76:[26, 65] Operation: 63+2=65
Exploring Operation: 26-2=24, Resulting Numbers: [63, 24]
Generated Node #0,1,1: 76:[63, 24] Operation: 26-2=24
Exploring Operation: 63-26=37, Resulting Numbers: [2, 37]
Generated Node #0,1,2: 76:[2, 37] Operation: 63-26=37
Exploring Operation: 26+63=89, Resulting Numbers: [2, 89]
Generated Node #0,1,3: 76:[2, 89] Operation: 26+63=89
Moving to Node #0,0
Current State: 76:[67, 65, 37], Operations: ['63-26=37']
Exploring Operation: 65+37=102, Resulting Numbers: [67, 102]
Generated Node #0,0,0: 76:[67, 102] Operation: 65+37=102
Exploring Operation: 67-37=30, Resulting Numbers: [65, 30]
Generated Node #0,0,1: 76:[65, 30] Operation: 67-37=30
Exploring Operation: 67-65=2, Resulting Numbers: [37, 2]
Generated Node #0,0,2: 76:[37, 2] Operation: 67-65=2
Exploring Operation: 65-37=28, Resulting Numbers: [67, 28]
Generated Node #0,0,3: 76:[67, 28] Operation: 65-37=28
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[37, 2], Operations: ['63-26=37', '67-65=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 76:[67, 28], Operations: ['63-26=37', '65-37=28']
Exploring Operation: 67+28=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 67*28=1876, Resulting Numbers: [1876]
1876,76 unequal: No Solution
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[65, 30], Operations: ['63-26=37', '67-37=30']
Exploring Operation: 65*30=1950, Resulting Numbers: [1950]
1950,76 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 65+30=95, Resulting Numbers: [95]
95,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[67, 102], Operations: ['63-26=37', '65+37=102']
Exploring Operation: 67*102=6834, Resulting Numbers: [6834]
6834,76 unequal: No Solution
Exploring Operation: 102-67=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 67+102=169, Resulting Numbers: [169]
169,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 76:[4, 39], Operations: ['67-63=4', '65-26=39']
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,76 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[2, 37], Operations: ['67-65=2', '63-26=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[2, 41], Operations: ['65-63=2', '67-26=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,76 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[2, 89], Operations: ['67-65=2', '26+63=89']
Exploring Operation: 2*89=178, Resulting Numbers: [178]
178,76 unequal: No Solution
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 2+89=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[67, 24], Operations: ['65-63=2', '26-2=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 67*24=1608, Resulting Numbers: [1608]
1608,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[26, 69], Operations: ['67-63=4', '65+4=69']
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,76 unequal: No Solution
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[65, 22], Operations: ['67-63=4', '26-4=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[26, 69], Operations: ['65-63=2', '67+2=69']
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,76 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[4, 91], Operations: ['67-63=4', '26+65=91']
Exploring Operation: 4*91=364, Resulting Numbers: [364]
364,76 unequal: No Solution
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[67, 13], Operations: ['65-63=2', '26/2=13']
Exploring Operation: 67-13=54, Resulting Numbers: [54]
54,76 unequal: No Solution
Exploring Operation: 67+13=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 67*13=871, Resulting Numbers: [871]
871,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[63, 24], Operations: ['67-65=2', '26-2=24']
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,76 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[26, 65], Operations: ['67-65=2', '63+2=65']
Exploring Operation: 65-26=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 26*65=1690, Resulting Numbers: [1690]
1690,76 unequal: No Solution
Exploring Operation: 26+65=91, Resulting Numbers: [91]
91,76 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
49,
48,
16,
5
] | 20 | [
"49-48=1",
"16+5=21",
"21-1=20"
] | Current State: 20:[49, 48, 16, 5], Operations: []
Exploring Operation: 49-48=1, Resulting Numbers: [16, 5, 1]
Generated Node #2: [16, 5, 1] from Operation: 49-48=1
Current State: 20:[16, 5, 1], Operations: ['49-48=1']
Exploring Operation: 16+5=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 16+5=21
Current State: 20:[1, 21], Operations: ['49-48=1', '16+5=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[49, 48, 16, 5], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [49, 5, 32]
Generated Node #0,0: 20:[49, 5, 32] Operation: 48-16=32
Exploring Operation: 49-48=1, Resulting Numbers: [16, 5, 1]
Generated Node #0,1: 20:[16, 5, 1] Operation: 49-48=1
Exploring Operation: 49-16=33, Resulting Numbers: [48, 5, 33]
Generated Node #0,2: 20:[48, 5, 33] Operation: 49-16=33
Exploring Operation: 49-5=44, Resulting Numbers: [48, 16, 44]
Generated Node #0,3: 20:[48, 16, 44] Operation: 49-5=44
Exploring Operation: 48/16=3, Resulting Numbers: [49, 5, 3]
Generated Node #0,4: 20:[49, 5, 3] Operation: 48/16=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[16, 5, 1], Operations: ['49-48=1']
Exploring Operation: 16/1=16, Resulting Numbers: [5, 16]
Generated Node #0,1,0: 20:[5, 16] Operation: 16/1=16
Exploring Operation: 16-5=11, Resulting Numbers: [1, 11]
Generated Node #0,1,1: 20:[1, 11] Operation: 16-5=11
Exploring Operation: 16+5=21, Resulting Numbers: [1, 21]
Generated Node #0,1,2: 20:[1, 21] Operation: 16+5=21
Exploring Operation: 16*1=16, Resulting Numbers: [5, 16]
Generated Node #0,1,3: 20:[5, 16] Operation: 16*1=16
Exploring Operation: 16+1=17, Resulting Numbers: [5, 17]
Generated Node #0,1,4: 20:[5, 17] Operation: 16+1=17
Moving to Node #0,1,1
Current State: 20:[1, 11], Operations: ['49-48=1', '16-5=11']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,20 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[1, 21], Operations: ['49-48=1', '16+5=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[49, 48, 16, 5], Operations: []
Exploring Operation: 49-48=1, Resulting Numbers: [16, 5, 1]
Generated Node #0,1: 20:[16, 5, 1] Operation: 49-48=1
Moving to Node #0,1
Current State: 20:[16, 5, 1], Operations: ['49-48=1']
Exploring Operation: 16+5=21, Resulting Numbers: [1, 21]
Generated Node #0,1,2: 20:[1, 21] Operation: 16+5=21
Moving to Node #0,1,2
Current State: 20:[1, 21], Operations: ['49-48=1', '16+5=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
73,
14,
59,
77
] | 49 | [
"73+14=87",
"59+77=136",
"136-87=49"
] | Current State: 49:[73, 14, 59, 77], Operations: []
Exploring Operation: 73+14=87, Resulting Numbers: [59, 77, 87]
Generated Node #2: [59, 77, 87] from Operation: 73+14=87
Current State: 49:[59, 77, 87], Operations: ['73+14=87']
Exploring Operation: 59+77=136, Resulting Numbers: [87, 136]
Generated Node #3: [87, 136] from Operation: 59+77=136
Current State: 49:[87, 136], Operations: ['73+14=87', '59+77=136']
Exploring Operation: 136-87=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[73, 14, 59, 77], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [73, 14, 18]
Generated Node #0,0: 49:[73, 14, 18] Operation: 77-59=18
Exploring Operation: 73-14=59, Resulting Numbers: [59, 77, 59]
Generated Node #0,1: 49:[59, 77, 59] Operation: 73-14=59
Exploring Operation: 73-59=14, Resulting Numbers: [14, 77, 14]
Generated Node #0,2: 49:[14, 77, 14] Operation: 73-59=14
Exploring Operation: 77-73=4, Resulting Numbers: [14, 59, 4]
Generated Node #0,3: 49:[14, 59, 4] Operation: 77-73=4
Exploring Operation: 77-14=63, Resulting Numbers: [73, 59, 63]
Generated Node #0,4: 49:[73, 59, 63] Operation: 77-14=63
Moving to Node #0,3
Current State: 49:[14, 59, 4], Operations: ['77-73=4']
Exploring Operation: 14+4=18, Resulting Numbers: [59, 18]
Generated Node #0,3,0: 49:[59, 18] Operation: 14+4=18
Exploring Operation: 59-4=55, Resulting Numbers: [14, 55]
Generated Node #0,3,1: 49:[14, 55] Operation: 59-4=55
Exploring Operation: 14*4=56, Resulting Numbers: [59, 56]
Generated Node #0,3,2: 49:[59, 56] Operation: 14*4=56
Exploring Operation: 59-14=45, Resulting Numbers: [4, 45]
Generated Node #0,3,3: 49:[4, 45] Operation: 59-14=45
Exploring Operation: 14-4=10, Resulting Numbers: [59, 10]
Generated Node #0,3,4: 49:[59, 10] Operation: 14-4=10
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 49:[4, 45], Operations: ['77-73=4', '59-14=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[73, 14, 59, 77], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [14, 59, 4]
Generated Node #0,3: 49:[14, 59, 4] Operation: 77-73=4
Moving to Node #0,3
Current State: 49:[14, 59, 4], Operations: ['77-73=4']
Exploring Operation: 59-14=45, Resulting Numbers: [4, 45]
Generated Node #0,3,3: 49:[4, 45] Operation: 59-14=45
Moving to Node #0,3,3
Current State: 49:[4, 45], Operations: ['77-73=4', '59-14=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
80,
40,
4,
2
] | 98 | [
"40-4=36",
"36/2=18",
"80+18=98"
] | Current State: 98:[80, 40, 4, 2], Operations: []
Exploring Operation: 40-4=36, Resulting Numbers: [80, 2, 36]
Generated Node #2: [80, 2, 36] from Operation: 40-4=36
Current State: 98:[80, 2, 36], Operations: ['40-4=36']
Exploring Operation: 36/2=18, Resulting Numbers: [80, 18]
Generated Node #3: [80, 18] from Operation: 36/2=18
Current State: 98:[80, 18], Operations: ['40-4=36', '36/2=18']
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[80, 40, 4, 2], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [4, 2, 2]
Generated Node #0,0: 98:[4, 2, 2] Operation: 80/40=2
Exploring Operation: 80-40=40, Resulting Numbers: [4, 2, 40]
Generated Node #0,1: 98:[4, 2, 40] Operation: 80-40=40
Moving to Node #0,0
Current State: 98:[4, 2, 2], Operations: ['80/40=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 98:[2, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 98:[2, 2] Operation: 4-2=2
Moving to Node #0,1
Current State: 98:[4, 2, 40], Operations: ['80-40=40']
Exploring Operation: 4+40=44, Resulting Numbers: [2, 44]
Generated Node #0,1,0: 98:[2, 44] Operation: 4+40=44
Exploring Operation: 40/4=10, Resulting Numbers: [2, 10]
Generated Node #0,1,1: 98:[2, 10] Operation: 40/4=10
Moving to Node #0,0,0
Current State: 98:[2, 2], Operations: ['80/40=2', '4/2=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[2, 2], Operations: ['80/40=2', '4-2=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[2, 10], Operations: ['80-40=40', '40/4=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[2, 44], Operations: ['80-40=40', '4+40=44']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,98 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
86,
95,
20,
10
] | 39 | [
"95-86=9",
"20+10=30",
"9+30=39"
] | Current State: 39:[86, 95, 20, 10], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [20, 10, 9]
Generated Node #2: [20, 10, 9] from Operation: 95-86=9
Current State: 39:[20, 10, 9], Operations: ['95-86=9']
Exploring Operation: 20+10=30, Resulting Numbers: [9, 30]
Generated Node #3: [9, 30] from Operation: 20+10=30
Current State: 39:[9, 30], Operations: ['95-86=9', '20+10=30']
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[86, 95, 20, 10], Operations: []
Exploring Operation: 86-10=76, Resulting Numbers: [95, 20, 76]
Generated Node #0,0: 39:[95, 20, 76] Operation: 86-10=76
Exploring Operation: 95-20=75, Resulting Numbers: [86, 10, 75]
Generated Node #0,1: 39:[86, 10, 75] Operation: 95-20=75
Exploring Operation: 95-86=9, Resulting Numbers: [20, 10, 9]
Generated Node #0,2: 39:[20, 10, 9] Operation: 95-86=9
Exploring Operation: 95-10=85, Resulting Numbers: [86, 20, 85]
Generated Node #0,3: 39:[86, 20, 85] Operation: 95-10=85
Exploring Operation: 86-20=66, Resulting Numbers: [95, 10, 66]
Generated Node #0,4: 39:[95, 10, 66] Operation: 86-20=66
Moving to Node #0,2
Current State: 39:[20, 10, 9], Operations: ['95-86=9']
Exploring Operation: 20/10=2, Resulting Numbers: [9, 2]
Generated Node #0,2,0: 39:[9, 2] Operation: 20/10=2
Exploring Operation: 10-9=1, Resulting Numbers: [20, 1]
Generated Node #0,2,1: 39:[20, 1] Operation: 10-9=1
Exploring Operation: 20-10=10, Resulting Numbers: [9, 10]
Generated Node #0,2,2: 39:[9, 10] Operation: 20-10=10
Exploring Operation: 20+10=30, Resulting Numbers: [9, 30]
Generated Node #0,2,3: 39:[9, 30] Operation: 20+10=30
Exploring Operation: 20-9=11, Resulting Numbers: [10, 11]
Generated Node #0,2,4: 39:[10, 11] Operation: 20-9=11
Moving to Node #0,4
Current State: 39:[95, 10, 66], Operations: ['86-20=66']
Exploring Operation: 66-10=56, Resulting Numbers: [95, 56]
Generated Node #0,4,0: 39:[95, 56] Operation: 66-10=56
Exploring Operation: 95-66=29, Resulting Numbers: [10, 29]
Generated Node #0,4,1: 39:[10, 29] Operation: 95-66=29
Exploring Operation: 95-10=85, Resulting Numbers: [66, 85]
Generated Node #0,4,2: 39:[66, 85] Operation: 95-10=85
Exploring Operation: 10+66=76, Resulting Numbers: [95, 76]
Generated Node #0,4,3: 39:[95, 76] Operation: 10+66=76
Exploring Operation: 95+10=105, Resulting Numbers: [66, 105]
Generated Node #0,4,4: 39:[66, 105] Operation: 95+10=105
Moving to Node #0,1
Current State: 39:[86, 10, 75], Operations: ['95-20=75']
Exploring Operation: 86-75=11, Resulting Numbers: [10, 11]
Generated Node #0,1,0: 39:[10, 11] Operation: 86-75=11
Exploring Operation: 86-10=76, Resulting Numbers: [75, 76]
Generated Node #0,1,1: 39:[75, 76] Operation: 86-10=76
Exploring Operation: 86+10=96, Resulting Numbers: [75, 96]
Generated Node #0,1,2: 39:[75, 96] Operation: 86+10=96
Exploring Operation: 75-10=65, Resulting Numbers: [86, 65]
Generated Node #0,1,3: 39:[86, 65] Operation: 75-10=65
Exploring Operation: 10+75=85, Resulting Numbers: [86, 85]
Generated Node #0,1,4: 39:[86, 85] Operation: 10+75=85
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[10, 11], Operations: ['95-20=75', '86-75=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[75, 76], Operations: ['95-20=75', '86-10=76']
Exploring Operation: 75*76=5700, Resulting Numbers: [5700]
5700,39 unequal: No Solution
Exploring Operation: 75+76=151, Resulting Numbers: [151]
151,39 unequal: No Solution
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 39:[86, 65], Operations: ['95-20=75', '75-10=65']
Exploring Operation: 86-65=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 86*65=5590, Resulting Numbers: [5590]
5590,39 unequal: No Solution
Exploring Operation: 86+65=151, Resulting Numbers: [151]
151,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 39:[75, 96], Operations: ['95-20=75', '86+10=96']
Exploring Operation: 75+96=171, Resulting Numbers: [171]
171,39 unequal: No Solution
Exploring Operation: 75*96=7200, Resulting Numbers: [7200]
7200,39 unequal: No Solution
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 39:[86, 85], Operations: ['95-20=75', '10+75=85']
Exploring Operation: 86-85=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 86*85=7310, Resulting Numbers: [7310]
7310,39 unequal: No Solution
Exploring Operation: 86+85=171, Resulting Numbers: [171]
171,39 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: 39:[95, 20, 76], Operations: ['86-10=76']
Exploring Operation: 76-20=56, Resulting Numbers: [95, 56]
Generated Node #0,0,0: 39:[95, 56] Operation: 76-20=56
Exploring Operation: 20+76=96, Resulting Numbers: [95, 96]
Generated Node #0,0,1: 39:[95, 96] Operation: 20+76=96
Exploring Operation: 95-20=75, Resulting Numbers: [76, 75]
Generated Node #0,0,2: 39:[76, 75] Operation: 95-20=75
Exploring Operation: 95+20=115, Resulting Numbers: [76, 115]
Generated Node #0,0,3: 39:[76, 115] Operation: 95+20=115
Exploring Operation: 95-76=19, Resulting Numbers: [20, 19]
Generated Node #0,0,4: 39:[20, 19] Operation: 95-76=19
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 39:[20, 19], Operations: ['86-10=76', '95-76=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[86, 95, 20, 10], Operations: []
Exploring Operation: 86-10=76, Resulting Numbers: [95, 20, 76]
Generated Node #0,0: 39:[95, 20, 76] Operation: 86-10=76
Moving to Node #0,0
Current State: 39:[95, 20, 76], Operations: ['86-10=76']
Exploring Operation: 95-76=19, Resulting Numbers: [20, 19]
Generated Node #0,0,4: 39:[20, 19] Operation: 95-76=19
Moving to Node #0,0,4
Current State: 39:[20, 19], Operations: ['86-10=76', '95-76=19']
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | sum_heuristic |
[
22,
84,
9,
5
] | 48 | [
"84-22=62",
"9+5=14",
"62-14=48"
] | Current State: 48:[22, 84, 9, 5], Operations: []
Exploring Operation: 84-22=62, Resulting Numbers: [9, 5, 62]
Generated Node #2: [9, 5, 62] from Operation: 84-22=62
Current State: 48:[9, 5, 62], Operations: ['84-22=62']
Exploring Operation: 9+5=14, Resulting Numbers: [62, 14]
Generated Node #3: [62, 14] from Operation: 9+5=14
Current State: 48:[62, 14], Operations: ['84-22=62', '9+5=14']
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[22, 84, 9, 5], Operations: []
Exploring Operation: 22-5=17, Resulting Numbers: [84, 9, 17]
Generated Node #0,0: 48:[84, 9, 17] Operation: 22-5=17
Exploring Operation: 84-22=62, Resulting Numbers: [9, 5, 62]
Generated Node #0,1: 48:[9, 5, 62] Operation: 84-22=62
Exploring Operation: 84-5=79, Resulting Numbers: [22, 9, 79]
Generated Node #0,2: 48:[22, 9, 79] Operation: 84-5=79
Exploring Operation: 84-9=75, Resulting Numbers: [22, 5, 75]
Generated Node #0,3: 48:[22, 5, 75] Operation: 84-9=75
Exploring Operation: 22-9=13, Resulting Numbers: [84, 5, 13]
Generated Node #0,4: 48:[84, 5, 13] Operation: 22-9=13
Moving to Node #0,1
Current State: 48:[9, 5, 62], Operations: ['84-22=62']
Exploring Operation: 9-5=4, Resulting Numbers: [62, 4]
Generated Node #0,1,0: 48:[62, 4] Operation: 9-5=4
Exploring Operation: 62-5=57, Resulting Numbers: [9, 57]
Generated Node #0,1,1: 48:[9, 57] Operation: 62-5=57
Exploring Operation: 9*5=45, Resulting Numbers: [62, 45]
Generated Node #0,1,2: 48:[62, 45] Operation: 9*5=45
Exploring Operation: 62-9=53, Resulting Numbers: [5, 53]
Generated Node #0,1,3: 48:[5, 53] Operation: 62-9=53
Exploring Operation: 9+5=14, Resulting Numbers: [62, 14]
Generated Node #0,1,4: 48:[62, 14] Operation: 9+5=14
Moving to Node #0,3
Current State: 48:[22, 5, 75], Operations: ['84-9=75']
Exploring Operation: 75-5=70, Resulting Numbers: [22, 70]
Generated Node #0,3,0: 48:[22, 70] Operation: 75-5=70
Exploring Operation: 22+5=27, Resulting Numbers: [75, 27]
Generated Node #0,3,1: 48:[75, 27] Operation: 22+5=27
Exploring Operation: 75/5=15, Resulting Numbers: [22, 15]
Generated Node #0,3,2: 48:[22, 15] Operation: 75/5=15
Exploring Operation: 75-22=53, Resulting Numbers: [5, 53]
Generated Node #0,3,3: 48:[5, 53] Operation: 75-22=53
Exploring Operation: 22-5=17, Resulting Numbers: [75, 17]
Generated Node #0,3,4: 48:[75, 17] Operation: 22-5=17
Moving to Node #0,2
Current State: 48:[22, 9, 79], Operations: ['84-5=79']
Exploring Operation: 79-22=57, Resulting Numbers: [9, 57]
Generated Node #0,2,0: 48:[9, 57] Operation: 79-22=57
Exploring Operation: 79-9=70, Resulting Numbers: [22, 70]
Generated Node #0,2,1: 48:[22, 70] Operation: 79-9=70
Exploring Operation: 9+79=88, Resulting Numbers: [22, 88]
Generated Node #0,2,2: 48:[22, 88] Operation: 9+79=88
Exploring Operation: 22-9=13, Resulting Numbers: [79, 13]
Generated Node #0,2,3: 48:[79, 13] Operation: 22-9=13
Exploring Operation: 22+9=31, Resulting Numbers: [79, 31]
Generated Node #0,2,4: 48:[79, 31] Operation: 22+9=31
Moving to Node #0,0
Current State: 48:[84, 9, 17], Operations: ['22-5=17']
Exploring Operation: 9+17=26, Resulting Numbers: [84, 26]
Generated Node #0,0,0: 48:[84, 26] Operation: 9+17=26
Exploring Operation: 84-17=67, Resulting Numbers: [9, 67]
Generated Node #0,0,1: 48:[9, 67] Operation: 84-17=67
Exploring Operation: 84-9=75, Resulting Numbers: [17, 75]
Generated Node #0,0,2: 48:[17, 75] Operation: 84-9=75
Exploring Operation: 17-9=8, Resulting Numbers: [84, 8]
Generated Node #0,0,3: 48:[84, 8] Operation: 17-9=8
Exploring Operation: 84+9=93, Resulting Numbers: [17, 93]
Generated Node #0,0,4: 48:[17, 93] Operation: 84+9=93
Moving to Node #0,4
Current State: 48:[84, 5, 13], Operations: ['22-9=13']
Exploring Operation: 5+13=18, Resulting Numbers: [84, 18]
Generated Node #0,4,0: 48:[84, 18] Operation: 5+13=18
Exploring Operation: 84+5=89, Resulting Numbers: [13, 89]
Generated Node #0,4,1: 48:[13, 89] Operation: 84+5=89
Exploring Operation: 84-5=79, Resulting Numbers: [13, 79]
Generated Node #0,4,2: 48:[13, 79] Operation: 84-5=79
Exploring Operation: 84-13=71, Resulting Numbers: [5, 71]
Generated Node #0,4,3: 48:[5, 71] Operation: 84-13=71
Exploring Operation: 13-5=8, Resulting Numbers: [84, 8]
Generated Node #0,4,4: 48:[84, 8] Operation: 13-5=8
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 48:[5, 71], Operations: ['22-9=13', '84-13=71']
Exploring Operation: 5+71=76, Resulting Numbers: [76]
76,48 unequal: No Solution
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,48 unequal: No Solution
Exploring Operation: 5*71=355, Resulting Numbers: [355]
355,48 unequal: No Solution
No 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: 48:[13, 79], Operations: ['22-9=13', '84-5=79']
Exploring Operation: 79-13=66, Resulting Numbers: [66]
66,48 unequal: No Solution
Exploring Operation: 13+79=92, Resulting Numbers: [92]
92,48 unequal: No Solution
Exploring Operation: 13*79=1027, Resulting Numbers: [1027]
1027,48 unequal: No Solution
No 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: 48:[84, 8], Operations: ['22-9=13', '13-5=8']
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,48 unequal: No Solution
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,48 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,48 unequal: No Solution
No 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: 48:[84, 18], Operations: ['22-9=13', '5+13=18']
Exploring Operation: 84+18=102, Resulting Numbers: [102]
102,48 unequal: No Solution
Exploring Operation: 84*18=1512, Resulting Numbers: [1512]
1512,48 unequal: No Solution
Exploring Operation: 84-18=66, Resulting Numbers: [66]
66,48 unequal: No Solution
No 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: 48:[13, 89], Operations: ['22-9=13', '84+5=89']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,48 unequal: No Solution
Exploring Operation: 13*89=1157, Resulting Numbers: [1157]
1157,48 unequal: No Solution
Exploring Operation: 13+89=102, Resulting Numbers: [102]
102,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 48:[22, 15], Operations: ['84-9=75', '75/5=15']
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[5, 53], Operations: ['84-22=62', '62-9=53']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[22, 84, 9, 5], Operations: []
Exploring Operation: 84-22=62, Resulting Numbers: [9, 5, 62]
Generated Node #0,1: 48:[9, 5, 62] Operation: 84-22=62
Moving to Node #0,1
Current State: 48:[9, 5, 62], Operations: ['84-22=62']
Exploring Operation: 62-9=53, Resulting Numbers: [5, 53]
Generated Node #0,1,3: 48:[5, 53] Operation: 62-9=53
Moving to Node #0,1,3
Current State: 48:[5, 53], Operations: ['84-22=62', '62-9=53']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 0.953993 | hs_5 | mult_heuristic |
[
2,
71,
97,
51
] | 57 | [
"71-51=20",
"2*20=40",
"97-40=57"
] | Current State: 57:[2, 71, 97, 51], Operations: []
Exploring Operation: 71-51=20, Resulting Numbers: [2, 97, 20]
Generated Node #2: [2, 97, 20] from Operation: 71-51=20
Current State: 57:[2, 97, 20], Operations: ['71-51=20']
Exploring Operation: 2*20=40, Resulting Numbers: [97, 40]
Generated Node #3: [97, 40] from Operation: 2*20=40
Current State: 57:[97, 40], Operations: ['71-51=20', '2*20=40']
Exploring Operation: 97-40=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[2, 71, 97, 51], Operations: []
Exploring Operation: 97-2=95, Resulting Numbers: [71, 51, 95]
Generated Node #0,0: 57:[71, 51, 95] Operation: 97-2=95
Exploring Operation: 97-71=26, Resulting Numbers: [2, 51, 26]
Generated Node #0,1: 57:[2, 51, 26] Operation: 97-71=26
Exploring Operation: 97-51=46, Resulting Numbers: [2, 71, 46]
Generated Node #0,2: 57:[2, 71, 46] Operation: 97-51=46
Exploring Operation: 71-51=20, Resulting Numbers: [2, 97, 20]
Generated Node #0,3: 57:[2, 97, 20] Operation: 71-51=20
Exploring Operation: 71-2=69, Resulting Numbers: [97, 51, 69]
Generated Node #0,4: 57:[97, 51, 69] Operation: 71-2=69
Moving to Node #0,1
Current State: 57:[2, 51, 26], Operations: ['97-71=26']
Exploring Operation: 2*26=52, Resulting Numbers: [51, 52]
Generated Node #0,1,0: 57:[51, 52] Operation: 2*26=52
Exploring Operation: 26/2=13, Resulting Numbers: [51, 13]
Generated Node #0,1,1: 57:[51, 13] Operation: 26/2=13
Exploring Operation: 26-2=24, Resulting Numbers: [51, 24]
Generated Node #0,1,2: 57:[51, 24] Operation: 26-2=24
Exploring Operation: 51-26=25, Resulting Numbers: [2, 25]
Generated Node #0,1,3: 57:[2, 25] Operation: 51-26=25
Exploring Operation: 2+51=53, Resulting Numbers: [26, 53]
Generated Node #0,1,4: 57:[26, 53] Operation: 2+51=53
Moving to Node #0,2
Current State: 57:[2, 71, 46], Operations: ['97-51=46']
Exploring Operation: 46/2=23, Resulting Numbers: [71, 23]
Generated Node #0,2,0: 57:[71, 23] Operation: 46/2=23
Exploring Operation: 71-46=25, Resulting Numbers: [2, 25]
Generated Node #0,2,1: 57:[2, 25] Operation: 71-46=25
Exploring Operation: 2+71=73, Resulting Numbers: [46, 73]
Generated Node #0,2,2: 57:[46, 73] Operation: 2+71=73
Exploring Operation: 71-2=69, Resulting Numbers: [46, 69]
Generated Node #0,2,3: 57:[46, 69] Operation: 71-2=69
Exploring Operation: 2+46=48, Resulting Numbers: [71, 48]
Generated Node #0,2,4: 57:[71, 48] Operation: 2+46=48
Moving to Node #0,3
Current State: 57:[2, 97, 20], Operations: ['71-51=20']
Exploring Operation: 97-20=77, Resulting Numbers: [2, 77]
Generated Node #0,3,0: 57:[2, 77] Operation: 97-20=77
Exploring Operation: 2+97=99, Resulting Numbers: [20, 99]
Generated Node #0,3,1: 57:[20, 99] Operation: 2+97=99
Exploring Operation: 2+20=22, Resulting Numbers: [97, 22]
Generated Node #0,3,2: 57:[97, 22] Operation: 2+20=22
Exploring Operation: 20-2=18, Resulting Numbers: [97, 18]
Generated Node #0,3,3: 57:[97, 18] Operation: 20-2=18
Exploring Operation: 97-2=95, Resulting Numbers: [20, 95]
Generated Node #0,3,4: 57:[20, 95] Operation: 97-2=95
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 57:[2, 77], Operations: ['71-51=20', '97-20=77']
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 2*77=154, Resulting Numbers: [154]
154,57 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,57 unequal: No Solution
No 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: 57:[20, 95], Operations: ['71-51=20', '97-2=95']
Exploring Operation: 20*95=1900, Resulting Numbers: [1900]
1900,57 unequal: No Solution
Exploring Operation: 20+95=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 95-20=75, Resulting Numbers: [75]
75,57 unequal: No Solution
No 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: 57:[97, 18], Operations: ['71-51=20', '20-2=18']
Exploring Operation: 97+18=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 97*18=1746, Resulting Numbers: [1746]
1746,57 unequal: No Solution
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,57 unequal: No Solution
No 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: 57:[20, 99], Operations: ['71-51=20', '2+97=99']
Exploring Operation: 20+99=119, Resulting Numbers: [119]
119,57 unequal: No Solution
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 20*99=1980, Resulting Numbers: [1980]
1980,57 unequal: No Solution
No 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: 57:[97, 22], Operations: ['71-51=20', '2+20=22']
Exploring Operation: 97+22=119, Resulting Numbers: [119]
119,57 unequal: No Solution
Exploring Operation: 97-22=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Exploring Operation: 97*22=2134, Resulting Numbers: [2134]
2134,57 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: 57:[71, 51, 95], Operations: ['97-2=95']
Exploring Operation: 51+95=146, Resulting Numbers: [71, 146]
Generated Node #0,0,0: 57:[71, 146] Operation: 51+95=146
Exploring Operation: 95-71=24, Resulting Numbers: [51, 24]
Generated Node #0,0,1: 57:[51, 24] Operation: 95-71=24
Exploring Operation: 71+51=122, Resulting Numbers: [95, 122]
Generated Node #0,0,2: 57:[95, 122] Operation: 71+51=122
Exploring Operation: 71-51=20, Resulting Numbers: [95, 20]
Generated Node #0,0,3: 57:[95, 20] Operation: 71-51=20
Exploring Operation: 95-51=44, Resulting Numbers: [71, 44]
Generated Node #0,0,4: 57:[71, 44] Operation: 95-51=44
Moving to Node #0,4
Current State: 57:[97, 51, 69], Operations: ['71-2=69']
Exploring Operation: 97+51=148, Resulting Numbers: [69, 148]
Generated Node #0,4,0: 57:[69, 148] Operation: 97+51=148
Exploring Operation: 97-51=46, Resulting Numbers: [69, 46]
Generated Node #0,4,1: 57:[69, 46] Operation: 97-51=46
Exploring Operation: 69-51=18, Resulting Numbers: [97, 18]
Generated Node #0,4,2: 57:[97, 18] Operation: 69-51=18
Exploring Operation: 51+69=120, Resulting Numbers: [97, 120]
Generated Node #0,4,3: 57:[97, 120] Operation: 51+69=120
Exploring Operation: 97-69=28, Resulting Numbers: [51, 28]
Generated Node #0,4,4: 57:[51, 28] Operation: 97-69=28
Moving to Node #0,1,3
Current State: 57:[2, 25], Operations: ['97-71=26', '51-26=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Moving to Node #0,2,1
Current State: 57:[2, 25], Operations: ['97-51=46', '71-46=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Moving to Node #0,1,2
Current State: 57:[51, 24], Operations: ['97-71=26', '26-2=24']
Exploring Operation: 51*24=1224, Resulting Numbers: [1224]
1224,57 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[51, 52], Operations: ['97-71=26', '2*26=52']
Exploring Operation: 51*52=2652, Resulting Numbers: [2652]
2652,57 unequal: No Solution
Exploring Operation: 51+52=103, Resulting Numbers: [103]
103,57 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[51, 24], Operations: ['97-2=95', '95-71=24']
Exploring Operation: 51*24=1224, Resulting Numbers: [1224]
1224,57 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Moving to Node #0,1,4
Current State: 57:[26, 53], Operations: ['97-71=26', '2+51=53']
Exploring Operation: 26*53=1378, Resulting Numbers: [1378]
1378,57 unequal: No Solution
Exploring Operation: 26+53=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[51, 13], Operations: ['97-71=26', '26/2=13']
Exploring Operation: 51+13=64, Resulting Numbers: [64]
64,57 unequal: No Solution
Exploring Operation: 51*13=663, Resulting Numbers: [663]
663,57 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Moving to Node #0,4,4
Current State: 57:[51, 28], Operations: ['71-2=69', '97-69=28']
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 51*28=1428, Resulting Numbers: [1428]
1428,57 unequal: No Solution
Moving to Node #0,2,0
Current State: 57:[71, 23], Operations: ['97-51=46', '46/2=23']
Exploring Operation: 71+23=94, Resulting Numbers: [94]
94,57 unequal: No Solution
Exploring Operation: 71*23=1633, Resulting Numbers: [1633]
1633,57 unequal: No Solution
Exploring Operation: 71-23=48, Resulting Numbers: [48]
48,57 unequal: No Solution
Moving to Node #0,4,1
Current State: 57:[69, 46], Operations: ['71-2=69', '97-51=46']
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 69*46=3174, Resulting Numbers: [3174]
3174,57 unequal: No Solution
Exploring Operation: 69+46=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Moving to Node #0,2,4
Current State: 57:[71, 48], Operations: ['97-51=46', '2+46=48']
Exploring Operation: 71+48=119, Resulting Numbers: [119]
119,57 unequal: No Solution
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 71*48=3408, Resulting Numbers: [3408]
3408,57 unequal: No Solution
Moving to Node #0,2,3
Current State: 57:[46, 69], Operations: ['97-51=46', '71-2=69']
Exploring Operation: 46+69=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 46*69=3174, Resulting Numbers: [3174]
3174,57 unequal: No Solution
Moving to Node #0,0,4
Current State: 57:[71, 44], Operations: ['97-2=95', '95-51=44']
Exploring Operation: 71*44=3124, Resulting Numbers: [3124]
3124,57 unequal: No Solution
Exploring Operation: 71+44=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[46, 73], Operations: ['97-51=46', '2+71=73']
Exploring Operation: 46*73=3358, Resulting Numbers: [3358]
3358,57 unequal: No Solution
Exploring Operation: 46+73=119, Resulting Numbers: [119]
119,57 unequal: No Solution
Exploring Operation: 73-46=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[95, 20], Operations: ['97-2=95', '71-51=20']
Exploring Operation: 95*20=1900, Resulting Numbers: [1900]
1900,57 unequal: No Solution
Exploring Operation: 95+20=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 95-20=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Moving to Node #0,4,2
Current State: 57:[97, 18], Operations: ['71-2=69', '69-51=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 97+18=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 97*18=1746, Resulting Numbers: [1746]
1746,57 unequal: No Solution
Moving to Node #0,4,0
Current State: 57:[69, 148], Operations: ['71-2=69', '97+51=148']
Exploring Operation: 148-69=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 69*148=10212, Resulting Numbers: [10212]
10212,57 unequal: No Solution
Exploring Operation: 69+148=217, Resulting Numbers: [217]
217,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[95, 122], Operations: ['97-2=95', '71+51=122']
Exploring Operation: 95+122=217, Resulting Numbers: [217]
217,57 unequal: No Solution
Exploring Operation: 95*122=11590, Resulting Numbers: [11590]
11590,57 unequal: No Solution
Exploring Operation: 122-95=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[71, 146], Operations: ['97-2=95', '51+95=146']
Exploring Operation: 71*146=10366, Resulting Numbers: [10366]
10366,57 unequal: No Solution
Exploring Operation: 71+146=217, Resulting Numbers: [217]
217,57 unequal: No Solution
Exploring Operation: 146-71=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Moving to Node #0,4,3
Current State: 57:[97, 120], Operations: ['71-2=69', '51+69=120']
Exploring Operation: 120-97=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 97*120=11640, Resulting Numbers: [11640]
11640,57 unequal: No Solution
Exploring Operation: 97+120=217, Resulting Numbers: [217]
217,57 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
73,
46,
13,
19
] | 21 | [
"73-46=27",
"19-13=6",
"27-6=21"
] | Current State: 21:[73, 46, 13, 19], Operations: []
Exploring Operation: 73-46=27, Resulting Numbers: [13, 19, 27]
Generated Node #2: [13, 19, 27] from Operation: 73-46=27
Current State: 21:[13, 19, 27], Operations: ['73-46=27']
Exploring Operation: 19-13=6, Resulting Numbers: [27, 6]
Generated Node #3: [27, 6] from Operation: 19-13=6
Current State: 21:[27, 6], Operations: ['73-46=27', '19-13=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[73, 46, 13, 19], Operations: []
Exploring Operation: 73-19=54, Resulting Numbers: [46, 13, 54]
Generated Node #0,0: 21:[46, 13, 54] Operation: 73-19=54
Exploring Operation: 73-46=27, Resulting Numbers: [13, 19, 27]
Generated Node #0,1: 21:[13, 19, 27] Operation: 73-46=27
Exploring Operation: 73-13=60, Resulting Numbers: [46, 19, 60]
Generated Node #0,2: 21:[46, 19, 60] Operation: 73-13=60
Exploring Operation: 46-19=27, Resulting Numbers: [73, 13, 27]
Generated Node #0,3: 21:[73, 13, 27] Operation: 46-19=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[13, 19, 27], Operations: ['73-46=27']
Exploring Operation: 19-13=6, Resulting Numbers: [27, 6]
Generated Node #0,1,0: 21:[27, 6] Operation: 19-13=6
Exploring Operation: 13+19=32, Resulting Numbers: [27, 32]
Generated Node #0,1,1: 21:[27, 32] Operation: 13+19=32
Exploring Operation: 27-19=8, Resulting Numbers: [13, 8]
Generated Node #0,1,2: 21:[13, 8] Operation: 27-19=8
Exploring Operation: 27-13=14, Resulting Numbers: [19, 14]
Generated Node #0,1,3: 21:[19, 14] Operation: 27-13=14
Moving to Node #0,1,0
Current State: 21:[27, 6], Operations: ['73-46=27', '19-13=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[73, 46, 13, 19], Operations: []
Exploring Operation: 73-46=27, Resulting Numbers: [13, 19, 27]
Generated Node #0,1: 21:[13, 19, 27] Operation: 73-46=27
Moving to Node #0,1
Current State: 21:[13, 19, 27], Operations: ['73-46=27']
Exploring Operation: 19-13=6, Resulting Numbers: [27, 6]
Generated Node #0,1,0: 21:[27, 6] Operation: 19-13=6
Moving to Node #0,1,0
Current State: 21:[27, 6], Operations: ['73-46=27', '19-13=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
48,
69,
63,
84
] | 87 | [
"69-48=21",
"63/21=3",
"84+3=87"
] | Current State: 87:[48, 69, 63, 84], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [63, 84, 21]
Generated Node #2: [63, 84, 21] from Operation: 69-48=21
Current State: 87:[63, 84, 21], Operations: ['69-48=21']
Exploring Operation: 63/21=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 63/21=3
Current State: 87:[84, 3], Operations: ['69-48=21', '63/21=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[48, 69, 63, 84], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [48, 84, 6]
Generated Node #0,0: 87:[48, 84, 6] Operation: 69-63=6
Exploring Operation: 63-48=15, Resulting Numbers: [69, 84, 15]
Generated Node #0,1: 87:[69, 84, 15] Operation: 63-48=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[48, 84, 6], Operations: ['69-63=6']
Exploring Operation: 84-48=36, Resulting Numbers: [6, 36]
Generated Node #0,0,0: 87:[6, 36] Operation: 84-48=36
Exploring Operation: 48/6=8, Resulting Numbers: [84, 8]
Generated Node #0,0,1: 87:[84, 8] Operation: 48/6=8
Moving to Node #0,0,1
Current State: 87:[84, 8], Operations: ['69-63=6', '48/6=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,87 unequal: No Solution
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[6, 36], Operations: ['69-63=6', '84-48=36']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[69, 84, 15], Operations: ['63-48=15']
Exploring Operation: 84-69=15, Resulting Numbers: [15, 15]
Generated Node #0,1,0: 87:[15, 15] Operation: 84-69=15
Exploring Operation: 69+15=84, Resulting Numbers: [84, 84]
Generated Node #0,1,1: 87:[84, 84] Operation: 69+15=84
Moving to Node #0,1,1
Current State: 87:[84, 84], Operations: ['63-48=15', '69+15=84']
Exploring Operation: 84-84=0, Resulting Numbers: [0]
0,87 unequal: No Solution
Exploring Operation: 84/84=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Moving to Node #0,1,0
Current State: 87:[15, 15], Operations: ['63-48=15', '84-69=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 15/15=1, Resulting Numbers: [1]
1,87 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 |
[
7,
54,
75,
96
] | 68 | [
"54-7=47",
"96-75=21",
"47+21=68"
] | Current State: 68:[7, 54, 75, 96], Operations: []
Exploring Operation: 54-7=47, Resulting Numbers: [75, 96, 47]
Generated Node #2: [75, 96, 47] from Operation: 54-7=47
Current State: 68:[75, 96, 47], Operations: ['54-7=47']
Exploring Operation: 96-75=21, Resulting Numbers: [47, 21]
Generated Node #3: [47, 21] from Operation: 96-75=21
Current State: 68:[47, 21], Operations: ['54-7=47', '96-75=21']
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[7, 54, 75, 96], Operations: []
Exploring Operation: 96-54=42, Resulting Numbers: [7, 75, 42]
Generated Node #0,0: 68:[7, 75, 42] Operation: 96-54=42
Exploring Operation: 96-75=21, Resulting Numbers: [7, 54, 21]
Generated Node #0,1: 68:[7, 54, 21] Operation: 96-75=21
Moving to Node #0,0
Current State: 68:[7, 75, 42], Operations: ['96-54=42']
Exploring Operation: 75-42=33, Resulting Numbers: [7, 33]
Generated Node #0,0,0: 68:[7, 33] Operation: 75-42=33
Exploring Operation: 75-7=68, Resulting Numbers: [42, 68]
Generated Node #0,0,1: 68:[42, 68] Operation: 75-7=68
Moving to Node #0,1
Current State: 68:[7, 54, 21], Operations: ['96-75=21']
Exploring Operation: 54-21=33, Resulting Numbers: [7, 33]
Generated Node #0,1,0: 68:[7, 33] Operation: 54-21=33
Exploring Operation: 54+21=75, Resulting Numbers: [7, 75]
Generated Node #0,1,1: 68:[7, 75] Operation: 54+21=75
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[7, 33], Operations: ['96-75=21', '54-21=33']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[7, 75], Operations: ['96-75=21', '54+21=75']
Exploring Operation: 7+75=82, Resulting Numbers: [82]
82,68 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[7, 54, 75, 96], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [7, 54, 21]
Generated Node #0,1: 68:[7, 54, 21] Operation: 96-75=21
Moving to Node #0,1
Current State: 68:[7, 54, 21], Operations: ['96-75=21']
Exploring Operation: 54+21=75, Resulting Numbers: [7, 75]
Generated Node #0,1,1: 68:[7, 75] Operation: 54+21=75
Moving to Node #0,1,1
Current State: 68:[7, 75], Operations: ['96-75=21', '54+21=75']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_2 | mult_heuristic |
[
11,
70,
18,
89
] | 12 | [
"70-11=59",
"89-18=71",
"71-59=12"
] | Current State: 12:[11, 70, 18, 89], Operations: []
Exploring Operation: 70-11=59, Resulting Numbers: [18, 89, 59]
Generated Node #2: [18, 89, 59] from Operation: 70-11=59
Current State: 12:[18, 89, 59], Operations: ['70-11=59']
Exploring Operation: 89-18=71, Resulting Numbers: [59, 71]
Generated Node #3: [59, 71] from Operation: 89-18=71
Current State: 12:[59, 71], Operations: ['70-11=59', '89-18=71']
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[11, 70, 18, 89], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [11, 18, 19]
Generated Node #0,0: 12:[11, 18, 19] Operation: 89-70=19
Exploring Operation: 70-18=52, Resulting Numbers: [11, 89, 52]
Generated Node #0,1: 12:[11, 89, 52] Operation: 70-18=52
Exploring Operation: 89-18=71, Resulting Numbers: [11, 70, 71]
Generated Node #0,2: 12:[11, 70, 71] Operation: 89-18=71
Moving to Node #0,0
Current State: 12:[11, 18, 19], Operations: ['89-70=19']
Exploring Operation: 19-18=1, Resulting Numbers: [11, 1]
Generated Node #0,0,0: 12:[11, 1] Operation: 19-18=1
Exploring Operation: 19-11=8, Resulting Numbers: [18, 8]
Generated Node #0,0,1: 12:[18, 8] Operation: 19-11=8
Exploring Operation: 18-11=7, Resulting Numbers: [19, 7]
Generated Node #0,0,2: 12:[19, 7] Operation: 18-11=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[11, 1], Operations: ['89-70=19', '19-18=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[11, 70, 18, 89], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [11, 18, 19]
Generated Node #0,0: 12:[11, 18, 19] Operation: 89-70=19
Moving to Node #0,0
Current State: 12:[11, 18, 19], Operations: ['89-70=19']
Exploring Operation: 19-18=1, Resulting Numbers: [11, 1]
Generated Node #0,0,0: 12:[11, 1] Operation: 19-18=1
Moving to Node #0,0,0
Current State: 12:[11, 1], Operations: ['89-70=19', '19-18=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
13,
83,
82,
7
] | 74 | [
"13*7=91",
"83+82=165",
"165-91=74"
] | Current State: 74:[13, 83, 82, 7], Operations: []
Exploring Operation: 13*7=91, Resulting Numbers: [83, 82, 91]
Generated Node #2: [83, 82, 91] from Operation: 13*7=91
Current State: 74:[83, 82, 91], Operations: ['13*7=91']
Exploring Operation: 83+82=165, Resulting Numbers: [91, 165]
Generated Node #3: [91, 165] from Operation: 83+82=165
Current State: 74:[91, 165], Operations: ['13*7=91', '83+82=165']
Exploring Operation: 165-91=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[13, 83, 82, 7], Operations: []
Exploring Operation: 83-13=70, Resulting Numbers: [82, 7, 70]
Generated Node #0,0: 74:[82, 7, 70] Operation: 83-13=70
Exploring Operation: 83-82=1, Resulting Numbers: [13, 7, 1]
Generated Node #0,1: 74:[13, 7, 1] Operation: 83-82=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[82, 7, 70], Operations: ['83-13=70']
Exploring Operation: 82-7=75, Resulting Numbers: [70, 75]
Generated Node #0,0,0: 74:[70, 75] Operation: 82-7=75
Exploring Operation: 7+70=77, Resulting Numbers: [82, 77]
Generated Node #0,0,1: 74:[82, 77] Operation: 7+70=77
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[70, 75], Operations: ['83-13=70', '82-7=75']
Exploring Operation: 75-70=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Exploring Operation: 70+75=145, Resulting Numbers: [145]
145,74 unequal: No Solution
No 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: 74:[82, 77], Operations: ['83-13=70', '7+70=77']
Exploring Operation: 82+77=159, Resulting Numbers: [159]
159,74 unequal: No Solution
Exploring Operation: 82-77=5, Resulting Numbers: [5]
5,74 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: 74:[13, 7, 1], Operations: ['83-82=1']
Exploring Operation: 13-1=12, Resulting Numbers: [7, 12]
Generated Node #0,1,0: 74:[7, 12] Operation: 13-1=12
Exploring Operation: 13-7=6, Resulting Numbers: [1, 6]
Generated Node #0,1,1: 74:[1, 6] Operation: 13-7=6
Moving to Node #0,1,1
Current State: 74:[1, 6], Operations: ['83-82=1', '13-7=6']
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[7, 12], Operations: ['83-82=1', '13-1=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,74 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,74 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 |
[
88,
22,
21,
65
] | 66 | [
"88+22=110",
"65-21=44",
"110-44=66"
] | Current State: 66:[88, 22, 21, 65], Operations: []
Exploring Operation: 88+22=110, Resulting Numbers: [21, 65, 110]
Generated Node #2: [21, 65, 110] from Operation: 88+22=110
Current State: 66:[21, 65, 110], Operations: ['88+22=110']
Exploring Operation: 65-21=44, Resulting Numbers: [110, 44]
Generated Node #3: [110, 44] from Operation: 65-21=44
Current State: 66:[110, 44], Operations: ['88+22=110', '65-21=44']
Exploring Operation: 110-44=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[88, 22, 21, 65], Operations: []
Exploring Operation: 88-21=67, Resulting Numbers: [22, 65, 67]
Generated Node #0,0: 66:[22, 65, 67] Operation: 88-21=67
Exploring Operation: 88-22=66, Resulting Numbers: [21, 65, 66]
Generated Node #0,1: 66:[21, 65, 66] Operation: 88-22=66
Moving to Node #0,0
Current State: 66:[22, 65, 67], Operations: ['88-21=67']
Exploring Operation: 67-65=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 66:[22, 2] Operation: 67-65=2
Exploring Operation: 65-22=43, Resulting Numbers: [67, 43]
Generated Node #0,0,1: 66:[67, 43] Operation: 65-22=43
Moving to Node #0,1
Current State: 66:[21, 65, 66], Operations: ['88-22=66']
Exploring Operation: 66-65=1, Resulting Numbers: [21, 1]
Generated Node #0,1,0: 66:[21, 1] Operation: 66-65=1
Exploring Operation: 65-21=44, Resulting Numbers: [66, 44]
Generated Node #0,1,1: 66:[66, 44] Operation: 65-21=44
Moving to Node #0,0,0
Current State: 66:[22, 2], Operations: ['88-21=67', '67-65=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[21, 1], Operations: ['88-22=66', '66-65=1']
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[67, 43], Operations: ['88-21=67', '65-22=43']
Exploring Operation: 67+43=110, Resulting Numbers: [110]
110,66 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[66, 44], Operations: ['88-22=66', '65-21=44']
Exploring Operation: 66+44=110, Resulting Numbers: [110]
110,66 unequal: No Solution
Exploring Operation: 66-44=22, Resulting Numbers: [22]
22,66 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
47,
18,
66
] | 59 | [
"3*18=54",
"47+66=113",
"113-54=59"
] | Current State: 59:[3, 47, 18, 66], Operations: []
Exploring Operation: 3*18=54, Resulting Numbers: [47, 66, 54]
Generated Node #2: [47, 66, 54] from Operation: 3*18=54
Current State: 59:[47, 66, 54], Operations: ['3*18=54']
Exploring Operation: 47+66=113, Resulting Numbers: [54, 113]
Generated Node #3: [54, 113] from Operation: 47+66=113
Current State: 59:[54, 113], Operations: ['3*18=54', '47+66=113']
Exploring Operation: 113-54=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[3, 47, 18, 66], Operations: []
Exploring Operation: 3+47=50, Resulting Numbers: [18, 66, 50]
Generated Node #0,0: 59:[18, 66, 50] Operation: 3+47=50
Exploring Operation: 3*18=54, Resulting Numbers: [47, 66, 54]
Generated Node #0,1: 59:[47, 66, 54] Operation: 3*18=54
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[47, 66, 54], Operations: ['3*18=54']
Exploring Operation: 47+54=101, Resulting Numbers: [66, 101]
Generated Node #0,1,0: 59:[66, 101] Operation: 47+54=101
Exploring Operation: 66-47=19, Resulting Numbers: [54, 19]
Generated Node #0,1,1: 59:[54, 19] Operation: 66-47=19
Moving to Node #0,1,1
Current State: 59:[54, 19], Operations: ['3*18=54', '66-47=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,59 unequal: No Solution
Exploring Operation: 54+19=73, Resulting Numbers: [73]
73,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[66, 101], Operations: ['3*18=54', '47+54=101']
Exploring Operation: 101-66=35, Resulting Numbers: [35]
35,59 unequal: No Solution
Exploring Operation: 66+101=167, Resulting Numbers: [167]
167,59 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
Current State: 59:[18, 66, 50], Operations: ['3+47=50']
Exploring Operation: 66-18=48, Resulting Numbers: [50, 48]
Generated Node #0,0,0: 59:[50, 48] Operation: 66-18=48
Exploring Operation: 18+50=68, Resulting Numbers: [66, 68]
Generated Node #0,0,1: 59:[66, 68] Operation: 18+50=68
Moving to Node #0,0,1
Current State: 59:[66, 68], Operations: ['3+47=50', '18+50=68']
Exploring Operation: 66+68=134, Resulting Numbers: [134]
134,59 unequal: No Solution
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[50, 48], Operations: ['3+47=50', '66-18=48']
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,59 unequal: No Solution
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
47,
83,
67,
6
] | 37 | [
"83-47=36",
"67+6=73",
"73-36=37"
] | Current State: 37:[47, 83, 67, 6], Operations: []
Exploring Operation: 83-47=36, Resulting Numbers: [67, 6, 36]
Generated Node #2: [67, 6, 36] from Operation: 83-47=36
Current State: 37:[67, 6, 36], Operations: ['83-47=36']
Exploring Operation: 67+6=73, Resulting Numbers: [36, 73]
Generated Node #3: [36, 73] from Operation: 67+6=73
Current State: 37:[36, 73], Operations: ['83-47=36', '67+6=73']
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[47, 83, 67, 6], Operations: []
Exploring Operation: 83-6=77, Resulting Numbers: [47, 67, 77]
Generated Node #0,0: 37:[47, 67, 77] Operation: 83-6=77
Exploring Operation: 83-67=16, Resulting Numbers: [47, 6, 16]
Generated Node #0,1: 37:[47, 6, 16] Operation: 83-67=16
Exploring Operation: 83-47=36, Resulting Numbers: [67, 6, 36]
Generated Node #0,2: 37:[67, 6, 36] Operation: 83-47=36
Exploring Operation: 47-6=41, Resulting Numbers: [83, 67, 41]
Generated Node #0,3: 37:[83, 67, 41] Operation: 47-6=41
Exploring Operation: 67-6=61, Resulting Numbers: [47, 83, 61]
Generated Node #0,4: 37:[47, 83, 61] Operation: 67-6=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[47, 6, 16], Operations: ['83-67=16']
Exploring Operation: 47-16=31, Resulting Numbers: [6, 31]
Generated Node #0,1,0: 37:[6, 31] Operation: 47-16=31
Exploring Operation: 6+16=22, Resulting Numbers: [47, 22]
Generated Node #0,1,1: 37:[47, 22] Operation: 6+16=22
Exploring Operation: 47+6=53, Resulting Numbers: [16, 53]
Generated Node #0,1,2: 37:[16, 53] Operation: 47+6=53
Exploring Operation: 16-6=10, Resulting Numbers: [47, 10]
Generated Node #0,1,3: 37:[47, 10] Operation: 16-6=10
Exploring Operation: 47-6=41, Resulting Numbers: [16, 41]
Generated Node #0,1,4: 37:[16, 41] Operation: 47-6=41
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[47, 22], Operations: ['83-67=16', '6+16=22']
Exploring Operation: 47+22=69, Resulting Numbers: [69]
69,37 unequal: No Solution
Exploring Operation: 47-22=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 47*22=1034, Resulting Numbers: [1034]
1034,37 unequal: No Solution
No 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: 37:[16, 41], Operations: ['83-67=16', '47-6=41']
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 16*41=656, Resulting Numbers: [656]
656,37 unequal: No Solution
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,37 unequal: No Solution
No 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: 37:[6, 31], Operations: ['83-67=16', '47-16=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[47, 83, 67, 6], Operations: []
Exploring Operation: 83-67=16, Resulting Numbers: [47, 6, 16]
Generated Node #0,1: 37:[47, 6, 16] Operation: 83-67=16
Moving to Node #0,1
Current State: 37:[47, 6, 16], Operations: ['83-67=16']
Exploring Operation: 47-16=31, Resulting Numbers: [6, 31]
Generated Node #0,1,0: 37:[6, 31] Operation: 47-16=31
Moving to Node #0,1,0
Current State: 37:[6, 31], Operations: ['83-67=16', '47-16=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
96,
19,
40,
8
] | 12 | [
"96-40=56",
"56/8=7",
"19-7=12"
] | Current State: 12:[96, 19, 40, 8], Operations: []
Exploring Operation: 96-40=56, Resulting Numbers: [19, 8, 56]
Generated Node #2: [19, 8, 56] from Operation: 96-40=56
Current State: 12:[19, 8, 56], Operations: ['96-40=56']
Exploring Operation: 56/8=7, Resulting Numbers: [19, 7]
Generated Node #3: [19, 7] from Operation: 56/8=7
Current State: 12:[19, 7], Operations: ['96-40=56', '56/8=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[96, 19, 40, 8], Operations: []
Exploring Operation: 96-40=56, Resulting Numbers: [19, 8, 56]
Generated Node #0,0: 12:[19, 8, 56] Operation: 96-40=56
Exploring Operation: 40/8=5, Resulting Numbers: [96, 19, 5]
Generated Node #0,1: 12:[96, 19, 5] Operation: 40/8=5
Exploring Operation: 96-19=77, Resulting Numbers: [40, 8, 77]
Generated Node #0,2: 12:[40, 8, 77] Operation: 96-19=77
Exploring Operation: 96/8=12, Resulting Numbers: [19, 40, 12]
Generated Node #0,3: 12:[19, 40, 12] Operation: 96/8=12
Exploring Operation: 40-19=21, Resulting Numbers: [96, 8, 21]
Generated Node #0,4: 12:[96, 8, 21] Operation: 40-19=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[19, 40, 12], Operations: ['96/8=12']
Exploring Operation: 40-19=21, Resulting Numbers: [12, 21]
Generated Node #0,3,0: 12:[12, 21] Operation: 40-19=21
Exploring Operation: 19-12=7, Resulting Numbers: [40, 7]
Generated Node #0,3,1: 12:[40, 7] Operation: 19-12=7
Exploring Operation: 19+40=59, Resulting Numbers: [12, 59]
Generated Node #0,3,2: 12:[12, 59] Operation: 19+40=59
Exploring Operation: 40-12=28, Resulting Numbers: [19, 28]
Generated Node #0,3,3: 12:[19, 28] Operation: 40-12=28
Exploring Operation: 19+12=31, Resulting Numbers: [40, 31]
Generated Node #0,3,4: 12:[40, 31] Operation: 19+12=31
Moving to Node #0,3,0
Current State: 12:[12, 21], Operations: ['96/8=12', '40-19=21']
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,12 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Moving to Node #0,3,3
Current State: 12:[19, 28], Operations: ['96/8=12', '40-12=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,12 unequal: No Solution
Moving to Node #0,3,1
Current State: 12:[40, 7], Operations: ['96/8=12', '19-12=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 40*7=280, Resulting Numbers: [280]
280,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[12, 59], Operations: ['96/8=12', '19+40=59']
Exploring Operation: 12*59=708, Resulting Numbers: [708]
708,12 unequal: No Solution
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 12+59=71, Resulting Numbers: [71]
71,12 unequal: No Solution
Moving to Node #0,3,4
Current State: 12:[40, 31], Operations: ['96/8=12', '19+12=31']
Exploring Operation: 40*31=1240, Resulting Numbers: [1240]
1240,12 unequal: No Solution
Exploring Operation: 40+31=71, Resulting Numbers: [71]
71,12 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[19, 8, 56], Operations: ['96-40=56']
Exploring Operation: 56-8=48, Resulting Numbers: [19, 48]
Generated Node #0,0,0: 12:[19, 48] Operation: 56-8=48
Exploring Operation: 19+8=27, Resulting Numbers: [56, 27]
Generated Node #0,0,1: 12:[56, 27] Operation: 19+8=27
Exploring Operation: 19-8=11, Resulting Numbers: [56, 11]
Generated Node #0,0,2: 12:[56, 11] Operation: 19-8=11
Exploring Operation: 56/8=7, Resulting Numbers: [19, 7]
Generated Node #0,0,3: 12:[19, 7] Operation: 56/8=7
Exploring Operation: 56-19=37, Resulting Numbers: [8, 37]
Generated Node #0,0,4: 12:[8, 37] Operation: 56-19=37
Moving to Node #0,0,3
Current State: 12:[19, 7], Operations: ['96-40=56', '56/8=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[96, 19, 40, 8], Operations: []
Exploring Operation: 96-40=56, Resulting Numbers: [19, 8, 56]
Generated Node #0,0: 12:[19, 8, 56] Operation: 96-40=56
Moving to Node #0,0
Current State: 12:[19, 8, 56], Operations: ['96-40=56']
Exploring Operation: 56/8=7, Resulting Numbers: [19, 7]
Generated Node #0,0,3: 12:[19, 7] Operation: 56/8=7
Moving to Node #0,0,3
Current State: 12:[19, 7], Operations: ['96-40=56', '56/8=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
43,
4,
48,
17
] | 27 | [
"43+48=91",
"17+91=108",
"108/4=27"
] | Current State: 27:[43, 4, 48, 17], Operations: []
Exploring Operation: 43+48=91, Resulting Numbers: [4, 17, 91]
Generated Node #2: [4, 17, 91] from Operation: 43+48=91
Current State: 27:[4, 17, 91], Operations: ['43+48=91']
Exploring Operation: 17+91=108, Resulting Numbers: [4, 108]
Generated Node #3: [4, 108] from Operation: 17+91=108
Current State: 27:[4, 108], Operations: ['43+48=91', '17+91=108']
Exploring Operation: 108/4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[43, 4, 48, 17], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [4, 17, 5]
Generated Node #0,0: 27:[4, 17, 5] Operation: 48-43=5
Exploring Operation: 48-17=31, Resulting Numbers: [43, 4, 31]
Generated Node #0,1: 27:[43, 4, 31] Operation: 48-17=31
Moving to Node #0,0
Current State: 27:[4, 17, 5], Operations: ['48-43=5']
Exploring Operation: 17-4=13, Resulting Numbers: [5, 13]
Generated Node #0,0,0: 27:[5, 13] Operation: 17-4=13
Exploring Operation: 17-5=12, Resulting Numbers: [4, 12]
Generated Node #0,0,1: 27:[4, 12] Operation: 17-5=12
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 27:[4, 12], Operations: ['48-43=5', '17-5=12']
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[5, 13], Operations: ['48-43=5', '17-4=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,27 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: 27:[43, 4, 31], Operations: ['48-17=31']
Exploring Operation: 43-31=12, Resulting Numbers: [4, 12]
Generated Node #0,1,0: 27:[4, 12] Operation: 43-31=12
Exploring Operation: 43-4=39, Resulting Numbers: [31, 39]
Generated Node #0,1,1: 27:[31, 39] Operation: 43-4=39
Moving to Node #0,1,0
Current State: 27:[4, 12], Operations: ['48-17=31', '43-31=12']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[31, 39], Operations: ['48-17=31', '43-4=39']
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 31+39=70, Resulting Numbers: [70]
70,27 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
35,
7,
40,
13
] | 16 | [
"35+40=75",
"7*13=91",
"91-75=16"
] | Current State: 16:[35, 7, 40, 13], Operations: []
Exploring Operation: 35+40=75, Resulting Numbers: [7, 13, 75]
Generated Node #2: [7, 13, 75] from Operation: 35+40=75
Current State: 16:[7, 13, 75], Operations: ['35+40=75']
Exploring Operation: 7*13=91, Resulting Numbers: [75, 91]
Generated Node #3: [75, 91] from Operation: 7*13=91
Current State: 16:[75, 91], Operations: ['35+40=75', '7*13=91']
Exploring Operation: 91-75=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[35, 7, 40, 13], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [7, 13, 5]
Generated Node #0,0: 16:[7, 13, 5] Operation: 40-35=5
Exploring Operation: 35/7=5, Resulting Numbers: [40, 13, 5]
Generated Node #0,1: 16:[40, 13, 5] Operation: 35/7=5
Exploring Operation: 35-13=22, Resulting Numbers: [7, 40, 22]
Generated Node #0,2: 16:[7, 40, 22] Operation: 35-13=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[7, 13, 5], Operations: ['40-35=5']
Exploring Operation: 13-7=6, Resulting Numbers: [5, 6]
Generated Node #0,0,0: 16:[5, 6] Operation: 13-7=6
Exploring Operation: 7-5=2, Resulting Numbers: [13, 2]
Generated Node #0,0,1: 16:[13, 2] Operation: 7-5=2
Exploring Operation: 13-5=8, Resulting Numbers: [7, 8]
Generated Node #0,0,2: 16:[7, 8] Operation: 13-5=8
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 16:[7, 8], Operations: ['40-35=5', '13-5=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,16 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[5, 6], Operations: ['40-35=5', '13-7=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 16:[13, 2], Operations: ['40-35=5', '7-5=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[40, 13, 5], Operations: ['35/7=5']
Exploring Operation: 40/5=8, Resulting Numbers: [13, 8]
Generated Node #0,1,0: 16:[13, 8] Operation: 40/5=8
Exploring Operation: 40-13=27, Resulting Numbers: [5, 27]
Generated Node #0,1,1: 16:[5, 27] Operation: 40-13=27
Exploring Operation: 40-5=35, Resulting Numbers: [13, 35]
Generated Node #0,1,2: 16:[13, 35] Operation: 40-5=35
Moving to Node #0,1,0
Current State: 16:[13, 8], Operations: ['35/7=5', '40/5=8']
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,16 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[5, 27], Operations: ['35/7=5', '40-13=27']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[13, 35], Operations: ['35/7=5', '40-5=35']
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 13+35=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 13*35=455, Resulting Numbers: [455]
455,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[7, 40, 22], Operations: ['35-13=22']
Exploring Operation: 40-7=33, Resulting Numbers: [22, 33]
Generated Node #0,2,0: 16:[22, 33] Operation: 40-7=33
Exploring Operation: 40-22=18, Resulting Numbers: [7, 18]
Generated Node #0,2,1: 16:[7, 18] Operation: 40-22=18
Exploring Operation: 22-7=15, Resulting Numbers: [40, 15]
Generated Node #0,2,2: 16:[40, 15] Operation: 22-7=15
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 16:[7, 18], Operations: ['35-13=22', '40-22=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,16 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 16:[22, 33], Operations: ['35-13=22', '40-7=33']
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 16:[40, 15], Operations: ['35-13=22', '22-7=15']
Exploring Operation: 40*15=600, Resulting Numbers: [600]
600,16 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 40+15=55, Resulting Numbers: [55]
55,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
82,
26,
1,
88
] | 33 | [
"82-26=56",
"1+88=89",
"89-56=33"
] | Current State: 33:[82, 26, 1, 88], Operations: []
Exploring Operation: 82-26=56, Resulting Numbers: [1, 88, 56]
Generated Node #2: [1, 88, 56] from Operation: 82-26=56
Current State: 33:[1, 88, 56], Operations: ['82-26=56']
Exploring Operation: 1+88=89, Resulting Numbers: [56, 89]
Generated Node #3: [56, 89] from Operation: 1+88=89
Current State: 33:[56, 89], Operations: ['82-26=56', '1+88=89']
Exploring Operation: 89-56=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[82, 26, 1, 88], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [26, 1, 6]
Generated Node #0,0: 33:[26, 1, 6] Operation: 88-82=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[26, 1, 6], Operations: ['88-82=6']
Exploring Operation: 26+6=32, Resulting Numbers: [1, 32]
Generated Node #0,0,0: 33:[1, 32] Operation: 26+6=32
Moving to Node #0,0,0
Current State: 33:[1, 32], Operations: ['88-82=6', '26+6=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[82, 26, 1, 88], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [26, 1, 6]
Generated Node #0,0: 33:[26, 1, 6] Operation: 88-82=6
Moving to Node #0,0
Current State: 33:[26, 1, 6], Operations: ['88-82=6']
Exploring Operation: 26+6=32, Resulting Numbers: [1, 32]
Generated Node #0,0,0: 33:[1, 32] Operation: 26+6=32
Moving to Node #0,0,0
Current State: 33:[1, 32], Operations: ['88-82=6', '26+6=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
11,
99,
69,
5
] | 28 | [
"11-5=6",
"99+69=168",
"168/6=28"
] | Current State: 28:[11, 99, 69, 5], Operations: []
Exploring Operation: 11-5=6, Resulting Numbers: [99, 69, 6]
Generated Node #2: [99, 69, 6] from Operation: 11-5=6
Current State: 28:[99, 69, 6], Operations: ['11-5=6']
Exploring Operation: 99+69=168, Resulting Numbers: [6, 168]
Generated Node #3: [6, 168] from Operation: 99+69=168
Current State: 28:[6, 168], Operations: ['11-5=6', '99+69=168']
Exploring Operation: 168/6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[11, 99, 69, 5], Operations: []
Exploring Operation: 99/11=9, Resulting Numbers: [69, 5, 9]
Generated Node #0,0: 28:[69, 5, 9] Operation: 99/11=9
Exploring Operation: 99-69=30, Resulting Numbers: [11, 5, 30]
Generated Node #0,1: 28:[11, 5, 30] Operation: 99-69=30
Moving to Node #0,1
Current State: 28:[11, 5, 30], Operations: ['99-69=30']
Exploring Operation: 11-5=6, Resulting Numbers: [30, 6]
Generated Node #0,1,0: 28:[30, 6] Operation: 11-5=6
Exploring Operation: 11+5=16, Resulting Numbers: [30, 16]
Generated Node #0,1,1: 28:[30, 16] Operation: 11+5=16
Moving to Node #0,0
Current State: 28:[69, 5, 9], Operations: ['99/11=9']
Exploring Operation: 69-5=64, Resulting Numbers: [9, 64]
Generated Node #0,0,0: 28:[9, 64] Operation: 69-5=64
Exploring Operation: 69-9=60, Resulting Numbers: [5, 60]
Generated Node #0,0,1: 28:[5, 60] Operation: 69-9=60
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[5, 60], Operations: ['99/11=9', '69-9=60']
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[9, 64], Operations: ['99/11=9', '69-5=64']
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,28 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 28:[30, 6], Operations: ['99-69=30', '11-5=6']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[30, 16], Operations: ['99-69=30', '11+5=16']
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,28 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
58,
72,
57,
63
] | 70 | [
"63-57=6",
"72/6=12",
"58+12=70"
] | Current State: 70:[58, 72, 57, 63], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [58, 72, 6]
Generated Node #2: [58, 72, 6] from Operation: 63-57=6
Current State: 70:[58, 72, 6], Operations: ['63-57=6']
Exploring Operation: 72/6=12, Resulting Numbers: [58, 12]
Generated Node #3: [58, 12] from Operation: 72/6=12
Current State: 70:[58, 12], Operations: ['63-57=6', '72/6=12']
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[58, 72, 57, 63], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [58, 72, 6]
Generated Node #0,0: 70:[58, 72, 6] Operation: 63-57=6
Exploring Operation: 63-58=5, Resulting Numbers: [72, 57, 5]
Generated Node #0,1: 70:[72, 57, 5] Operation: 63-58=5
Exploring Operation: 58-57=1, Resulting Numbers: [72, 63, 1]
Generated Node #0,2: 70:[72, 63, 1] Operation: 58-57=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[72, 63, 1], Operations: ['58-57=1']
Exploring Operation: 72-1=71, Resulting Numbers: [63, 71]
Generated Node #0,2,0: 70:[63, 71] Operation: 72-1=71
Exploring Operation: 63+1=64, Resulting Numbers: [72, 64]
Generated Node #0,2,1: 70:[72, 64] Operation: 63+1=64
Exploring Operation: 72-63=9, Resulting Numbers: [1, 9]
Generated Node #0,2,2: 70:[1, 9] Operation: 72-63=9
Moving to Node #0,2,2
Current State: 70:[1, 9], Operations: ['58-57=1', '72-63=9']
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[63, 71], Operations: ['58-57=1', '72-1=71']
Exploring Operation: 63*71=4473, Resulting Numbers: [4473]
4473,70 unequal: No Solution
Exploring Operation: 71-63=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 63+71=134, Resulting Numbers: [134]
134,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[72, 64], Operations: ['58-57=1', '63+1=64']
Exploring Operation: 72*64=4608, Resulting Numbers: [4608]
4608,70 unequal: No Solution
Exploring Operation: 72-64=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 72+64=136, Resulting Numbers: [136]
136,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[58, 72, 6], Operations: ['63-57=6']
Exploring Operation: 58+6=64, Resulting Numbers: [72, 64]
Generated Node #0,0,0: 70:[72, 64] Operation: 58+6=64
Exploring Operation: 72-58=14, Resulting Numbers: [6, 14]
Generated Node #0,0,1: 70:[6, 14] Operation: 72-58=14
Exploring Operation: 72/6=12, Resulting Numbers: [58, 12]
Generated Node #0,0,2: 70:[58, 12] Operation: 72/6=12
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 70:[6, 14], Operations: ['63-57=6', '72-58=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,70 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,70 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 #0,0,0
Current State: 70:[72, 64], Operations: ['63-57=6', '58+6=64']
Exploring Operation: 72-64=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 72*64=4608, Resulting Numbers: [4608]
4608,70 unequal: No Solution
Exploring Operation: 72+64=136, Resulting Numbers: [136]
136,70 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 #0,0,2
Current State: 70:[58, 12], Operations: ['63-57=6', '72/6=12']
Exploring Operation: 58*12=696, Resulting Numbers: [696]
696,70 unequal: No Solution
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[58, 72, 57, 63], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [58, 72, 6]
Generated Node #0,0: 70:[58, 72, 6] Operation: 63-57=6
Moving to Node #0,0
Current State: 70:[58, 72, 6], Operations: ['63-57=6']
Exploring Operation: 72/6=12, Resulting Numbers: [58, 12]
Generated Node #0,0,2: 70:[58, 12] Operation: 72/6=12
Moving to Node #0,0,2
Current State: 70:[58, 12], Operations: ['63-57=6', '72/6=12']
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_3 | sum_heuristic |
[
70,
14,
84,
77
] | 10 | [
"77-70=7",
"84-14=70",
"70/7=10"
] | Current State: 10:[70, 14, 84, 77], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [14, 84, 7]
Generated Node #2: [14, 84, 7] from Operation: 77-70=7
Current State: 10:[14, 84, 7], Operations: ['77-70=7']
Exploring Operation: 84-14=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 84-14=70
Current State: 10:[7, 70], Operations: ['77-70=7', '84-14=70']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[70, 14, 84, 77], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [70, 77, 6]
Generated Node #0,0: 10:[70, 77, 6] Operation: 84/14=6
Exploring Operation: 84-70=14, Resulting Numbers: [14, 77, 14]
Generated Node #0,1: 10:[14, 77, 14] Operation: 84-70=14
Exploring Operation: 84-77=7, Resulting Numbers: [70, 14, 7]
Generated Node #0,2: 10:[70, 14, 7] Operation: 84-77=7
Exploring Operation: 77-70=7, Resulting Numbers: [14, 84, 7]
Generated Node #0,3: 10:[14, 84, 7] Operation: 77-70=7
Moving to Node #0,2
Current State: 10:[70, 14, 7], Operations: ['84-77=7']
Exploring Operation: 70-14=56, Resulting Numbers: [7, 56]
Generated Node #0,2,0: 10:[7, 56] Operation: 70-14=56
Exploring Operation: 70/14=5, Resulting Numbers: [7, 5]
Generated Node #0,2,1: 10:[7, 5] Operation: 70/14=5
Exploring Operation: 70-7=63, Resulting Numbers: [14, 63]
Generated Node #0,2,2: 10:[14, 63] Operation: 70-7=63
Exploring Operation: 70/7=10, Resulting Numbers: [14, 10]
Generated Node #0,2,3: 10:[14, 10] Operation: 70/7=10
Moving to Node #0,1
Current State: 10:[14, 77, 14], Operations: ['84-70=14']
Exploring Operation: 14-14=0, Resulting Numbers: [77, 0]
Generated Node #0,1,0: 10:[77, 0] Operation: 14-14=0
Exploring Operation: 14/14=1, Resulting Numbers: [77, 1]
Generated Node #0,1,1: 10:[77, 1] Operation: 14/14=1
Exploring Operation: 77-14=63, Resulting Numbers: [14, 63]
Generated Node #0,1,2: 10:[14, 63] Operation: 77-14=63
Exploring Operation: 77-14=63, Resulting Numbers: [14, 63]
Generated Node #0,1,3: 10:[14, 63] Operation: 77-14=63
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[14, 63], Operations: ['84-70=14', '77-14=63']
Exploring Operation: 14+63=77, Resulting Numbers: [77]
77,10 unequal: No Solution
Exploring Operation: 14*63=882, Resulting Numbers: [882]
882,10 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 10:[14, 63], Operations: ['84-70=14', '77-14=63']
Exploring Operation: 14+63=77, Resulting Numbers: [77]
77,10 unequal: No Solution
Exploring Operation: 14*63=882, Resulting Numbers: [882]
882,10 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[77, 1], Operations: ['84-70=14', '14/14=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,10 unequal: No Solution
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,10 unequal: No Solution
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,10 unequal: No Solution
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[77, 0], Operations: ['84-70=14', '14-14=0']
Exploring Operation: 77*0=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 77+0=77, Resulting Numbers: [77]
77,10 unequal: No Solution
Exploring Operation: 77-0=77, Resulting Numbers: [77]
77,10 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: 10:[14, 84, 7], Operations: ['77-70=7']
Exploring Operation: 84/14=6, Resulting Numbers: [7, 6]
Generated Node #0,3,0: 10:[7, 6] Operation: 84/14=6
Exploring Operation: 84-14=70, Resulting Numbers: [7, 70]
Generated Node #0,3,1: 10:[7, 70] Operation: 84-14=70
Exploring Operation: 84/7=12, Resulting Numbers: [14, 12]
Generated Node #0,3,2: 10:[14, 12] Operation: 84/7=12
Exploring Operation: 84-7=77, Resulting Numbers: [14, 77]
Generated Node #0,3,3: 10:[14, 77] Operation: 84-7=77
Moving to Node #0,0
Current State: 10:[70, 77, 6], Operations: ['84/14=6']
Exploring Operation: 70+6=76, Resulting Numbers: [77, 76]
Generated Node #0,0,0: 10:[77, 76] Operation: 70+6=76
Exploring Operation: 77-6=71, Resulting Numbers: [70, 71]
Generated Node #0,0,1: 10:[70, 71] Operation: 77-6=71
Exploring Operation: 77-70=7, Resulting Numbers: [6, 7]
Generated Node #0,0,2: 10:[6, 7] Operation: 77-70=7
Exploring Operation: 70-6=64, Resulting Numbers: [77, 64]
Generated Node #0,0,3: 10:[77, 64] Operation: 70-6=64
Moving to Node #0,2,1
Current State: 10:[7, 5], Operations: ['84-77=7', '70/14=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Moving to Node #0,3,0
Current State: 10:[7, 6], Operations: ['77-70=7', '84/14=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[6, 7], Operations: ['84/14=6', '77-70=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[14, 10], Operations: ['84-77=7', '70/7=10']
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,10 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,10 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Moving to Node #0,3,2
Current State: 10:[14, 12], Operations: ['77-70=7', '84/7=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,10 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[7, 56], Operations: ['84-77=7', '70-14=56']
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,10 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 7*56=392, Resulting Numbers: [392]
392,10 unequal: No Solution
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[14, 63], Operations: ['84-77=7', '70-7=63']
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 14+63=77, Resulting Numbers: [77]
77,10 unequal: No Solution
Exploring Operation: 14*63=882, Resulting Numbers: [882]
882,10 unequal: No Solution
Moving to Node #0,3,1
Current State: 10:[7, 70], Operations: ['77-70=7', '84-14=70']
Exploring Operation: 7*70=490, Resulting Numbers: [490]
490,10 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,10 unequal: No Solution
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[70, 14, 84, 77], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [14, 84, 7]
Generated Node #0,3: 10:[14, 84, 7] Operation: 77-70=7
Moving to Node #0,3
Current State: 10:[14, 84, 7], Operations: ['77-70=7']
Exploring Operation: 84-14=70, Resulting Numbers: [7, 70]
Generated Node #0,3,1: 10:[7, 70] Operation: 84-14=70
Moving to Node #0,3,1
Current State: 10:[7, 70], Operations: ['77-70=7', '84-14=70']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.946181 | hs_4 | mult_heuristic |
[
82,
51,
51,
70
] | 82 | [
"51-51=0",
"70*0=0",
"82+0=82"
] | Current State: 82:[82, 51, 51, 70], Operations: []
Exploring Operation: 51-51=0, Resulting Numbers: [82, 70, 0]
Generated Node #2: [82, 70, 0] from Operation: 51-51=0
Current State: 82:[82, 70, 0], Operations: ['51-51=0']
Exploring Operation: 70*0=0, Resulting Numbers: [82, 0]
Generated Node #3: [82, 0] from Operation: 70*0=0
Current State: 82:[82, 0], Operations: ['51-51=0', '70*0=0']
Exploring Operation: 82+0=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[82, 51, 51, 70], Operations: []
Exploring Operation: 70-51=19, Resulting Numbers: [82, 51, 19]
Generated Node #0,0: 82:[82, 51, 19] Operation: 70-51=19
Exploring Operation: 51-51=0, Resulting Numbers: [82, 70, 0]
Generated Node #0,1: 82:[82, 70, 0] Operation: 51-51=0
Exploring Operation: 51/51=1, Resulting Numbers: [82, 70, 1]
Generated Node #0,2: 82:[82, 70, 1] Operation: 51/51=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[82, 70, 1], Operations: ['51/51=1']
Exploring Operation: 70+1=71, Resulting Numbers: [82, 71]
Generated Node #0,2,0: 82:[82, 71] Operation: 70+1=71
Exploring Operation: 82-70=12, Resulting Numbers: [1, 12]
Generated Node #0,2,1: 82:[1, 12] Operation: 82-70=12
Exploring Operation: 82*1=82, Resulting Numbers: [70, 82]
Generated Node #0,2,2: 82:[70, 82] Operation: 82*1=82
Moving to Node #0,2,0
Current State: 82:[82, 71], Operations: ['51/51=1', '70+1=71']
Exploring Operation: 82*71=5822, Resulting Numbers: [5822]
5822,82 unequal: No Solution
Exploring Operation: 82+71=153, Resulting Numbers: [153]
153,82 unequal: No Solution
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[1, 12], Operations: ['51/51=1', '82-70=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[70, 82], Operations: ['51/51=1', '82*1=82']
Exploring Operation: 70*82=5740, Resulting Numbers: [5740]
5740,82 unequal: No Solution
Exploring Operation: 70+82=152, Resulting Numbers: [152]
152,82 unequal: No Solution
Exploring Operation: 82-70=12, Resulting Numbers: [12]
12,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[82, 70, 0], Operations: ['51-51=0']
Exploring Operation: 82-70=12, Resulting Numbers: [0, 12]
Generated Node #0,1,0: 82:[0, 12] Operation: 82-70=12
Exploring Operation: 70*0=0, Resulting Numbers: [82, 0]
Generated Node #0,1,1: 82:[82, 0] Operation: 70*0=0
Exploring Operation: 82+0=82, Resulting Numbers: [70, 82]
Generated Node #0,1,2: 82:[70, 82] Operation: 82+0=82
Moving to Node #0,1,1
Current State: 82:[82, 0], Operations: ['51-51=0', '70*0=0']
Exploring Operation: 82*0=0, Resulting Numbers: [0]
0,82 unequal: No Solution
Exploring Operation: 82+0=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[82, 51, 51, 70], Operations: []
Exploring Operation: 51-51=0, Resulting Numbers: [82, 70, 0]
Generated Node #0,1: 82:[82, 70, 0] Operation: 51-51=0
Moving to Node #0,1
Current State: 82:[82, 70, 0], Operations: ['51-51=0']
Exploring Operation: 70*0=0, Resulting Numbers: [82, 0]
Generated Node #0,1,1: 82:[82, 0] Operation: 70*0=0
Moving to Node #0,1,1
Current State: 82:[82, 0], Operations: ['51-51=0', '70*0=0']
Exploring Operation: 82+0=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | sum_heuristic |
[
40,
26,
84,
98
] | 80 | [
"40+26=66",
"98-84=14",
"66+14=80"
] | Current State: 80:[40, 26, 84, 98], Operations: []
Exploring Operation: 40+26=66, Resulting Numbers: [84, 98, 66]
Generated Node #2: [84, 98, 66] from Operation: 40+26=66
Current State: 80:[84, 98, 66], Operations: ['40+26=66']
Exploring Operation: 98-84=14, Resulting Numbers: [66, 14]
Generated Node #3: [66, 14] from Operation: 98-84=14
Current State: 80:[66, 14], Operations: ['40+26=66', '98-84=14']
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[40, 26, 84, 98], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [40, 84, 72]
Generated Node #0,0: 80:[40, 84, 72] Operation: 98-26=72
Exploring Operation: 40-26=14, Resulting Numbers: [84, 98, 14]
Generated Node #0,1: 80:[84, 98, 14] Operation: 40-26=14
Exploring Operation: 98-84=14, Resulting Numbers: [40, 26, 14]
Generated Node #0,2: 80:[40, 26, 14] Operation: 98-84=14
Exploring Operation: 84-40=44, Resulting Numbers: [26, 98, 44]
Generated Node #0,3: 80:[26, 98, 44] Operation: 84-40=44
Exploring Operation: 98-40=58, Resulting Numbers: [26, 84, 58]
Generated Node #0,4: 80:[26, 84, 58] Operation: 98-40=58
Moving to Node #0,2
Current State: 80:[40, 26, 14], Operations: ['98-84=14']
Exploring Operation: 26+14=40, Resulting Numbers: [40, 40]
Generated Node #0,2,0: 80:[40, 40] Operation: 26+14=40
Exploring Operation: 26-14=12, Resulting Numbers: [40, 12]
Generated Node #0,2,1: 80:[40, 12] Operation: 26-14=12
Exploring Operation: 40-26=14, Resulting Numbers: [14, 14]
Generated Node #0,2,2: 80:[14, 14] Operation: 40-26=14
Exploring Operation: 40-14=26, Resulting Numbers: [26, 26]
Generated Node #0,2,3: 80:[26, 26] Operation: 40-14=26
Exploring Operation: 40+26=66, Resulting Numbers: [14, 66]
Generated Node #0,2,4: 80:[14, 66] Operation: 40+26=66
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[40, 40], Operations: ['98-84=14', '26+14=40']
Exploring Operation: 40-40=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 40*40=1600, Resulting Numbers: [1600]
1600,80 unequal: No Solution
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[40, 26, 84, 98], Operations: []
Exploring Operation: 98-84=14, Resulting Numbers: [40, 26, 14]
Generated Node #0,2: 80:[40, 26, 14] Operation: 98-84=14
Moving to Node #0,2
Current State: 80:[40, 26, 14], Operations: ['98-84=14']
Exploring Operation: 26+14=40, Resulting Numbers: [40, 40]
Generated Node #0,2,0: 80:[40, 40] Operation: 26+14=40
Moving to Node #0,2,0
Current State: 80:[40, 40], Operations: ['98-84=14', '26+14=40']
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
1,
28,
71,
25
] | 18 | [
"1*28=28",
"71-25=46",
"46-28=18"
] | Current State: 18:[1, 28, 71, 25], Operations: []
Exploring Operation: 1*28=28, Resulting Numbers: [71, 25, 28]
Generated Node #2: [71, 25, 28] from Operation: 1*28=28
Current State: 18:[71, 25, 28], Operations: ['1*28=28']
Exploring Operation: 71-25=46, Resulting Numbers: [28, 46]
Generated Node #3: [28, 46] from Operation: 71-25=46
Current State: 18:[28, 46], Operations: ['1*28=28', '71-25=46']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[1, 28, 71, 25], Operations: []
Exploring Operation: 71-25=46, Resulting Numbers: [1, 28, 46]
Generated Node #0,0: 18:[1, 28, 46] Operation: 71-25=46
Exploring Operation: 28-1=27, Resulting Numbers: [71, 25, 27]
Generated Node #0,1: 18:[71, 25, 27] Operation: 28-1=27
Exploring Operation: 71-28=43, Resulting Numbers: [1, 25, 43]
Generated Node #0,2: 18:[1, 25, 43] Operation: 71-28=43
Exploring Operation: 28-25=3, Resulting Numbers: [1, 71, 3]
Generated Node #0,3: 18:[1, 71, 3] Operation: 28-25=3
Moving to Node #0,2
Current State: 18:[1, 25, 43], Operations: ['71-28=43']
Exploring Operation: 43-25=18, Resulting Numbers: [1, 18]
Generated Node #0,2,0: 18:[1, 18] Operation: 43-25=18
Exploring Operation: 43-1=42, Resulting Numbers: [25, 42]
Generated Node #0,2,1: 18:[25, 42] Operation: 43-1=42
Exploring Operation: 1*25=25, Resulting Numbers: [43, 25]
Generated Node #0,2,2: 18:[43, 25] Operation: 1*25=25
Exploring Operation: 25-1=24, Resulting Numbers: [43, 24]
Generated Node #0,2,3: 18:[43, 24] Operation: 25-1=24
Moving to Node #0,0
Current State: 18:[1, 28, 46], Operations: ['71-25=46']
Exploring Operation: 46-1=45, Resulting Numbers: [28, 45]
Generated Node #0,0,0: 18:[28, 45] Operation: 46-1=45
Exploring Operation: 46-28=18, Resulting Numbers: [1, 18]
Generated Node #0,0,1: 18:[1, 18] Operation: 46-28=18
Exploring Operation: 28-1=27, Resulting Numbers: [46, 27]
Generated Node #0,0,2: 18:[46, 27] Operation: 28-1=27
Exploring Operation: 1*28=28, Resulting Numbers: [46, 28]
Generated Node #0,0,3: 18:[46, 28] Operation: 1*28=28
Moving to Node #0,3
Current State: 18:[1, 71, 3], Operations: ['28-25=3']
Exploring Operation: 71-1=70, Resulting Numbers: [3, 70]
Generated Node #0,3,0: 18:[3, 70] Operation: 71-1=70
Exploring Operation: 71/1=71, Resulting Numbers: [3, 71]
Generated Node #0,3,1: 18:[3, 71] Operation: 71/1=71
Exploring Operation: 71-3=68, Resulting Numbers: [1, 68]
Generated Node #0,3,2: 18:[1, 68] Operation: 71-3=68
Exploring Operation: 1*71=71, Resulting Numbers: [3, 71]
Generated Node #0,3,3: 18:[3, 71] Operation: 1*71=71
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 18:[1, 68], Operations: ['28-25=3', '71-3=68']
Exploring Operation: 68/1=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 1*68=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,18 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 #0,3,0
Current State: 18:[3, 70], Operations: ['28-25=3', '71-1=70']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,18 unequal: No Solution
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,18 unequal: No Solution
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,18 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 #0,3,1
Current State: 18:[3, 71], Operations: ['28-25=3', '71/1=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,18 unequal: No Solution
Exploring Operation: 3*71=213, Resulting Numbers: [213]
213,18 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,18 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 #0,3,3
Current State: 18:[3, 71], Operations: ['28-25=3', '1*71=71']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 3*71=213, Resulting Numbers: [213]
213,18 unequal: No Solution
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 18:[71, 25, 27], Operations: ['28-1=27']
Exploring Operation: 71-25=46, Resulting Numbers: [27, 46]
Generated Node #0,1,0: 18:[27, 46] Operation: 71-25=46
Exploring Operation: 71-27=44, Resulting Numbers: [25, 44]
Generated Node #0,1,1: 18:[25, 44] Operation: 71-27=44
Exploring Operation: 27-25=2, Resulting Numbers: [71, 2]
Generated Node #0,1,2: 18:[71, 2] Operation: 27-25=2
Exploring Operation: 71+25=96, Resulting Numbers: [27, 96]
Generated Node #0,1,3: 18:[27, 96] Operation: 71+25=96
Moving to Node #0,2,0
Current State: 18:[1, 18], Operations: ['71-28=43', '43-25=18']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[1, 28, 71, 25], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [1, 25, 43]
Generated Node #0,2: 18:[1, 25, 43] Operation: 71-28=43
Moving to Node #0,2
Current State: 18:[1, 25, 43], Operations: ['71-28=43']
Exploring Operation: 43-25=18, Resulting Numbers: [1, 18]
Generated Node #0,2,0: 18:[1, 18] Operation: 43-25=18
Moving to Node #0,2,0
Current State: 18:[1, 18], Operations: ['71-28=43', '43-25=18']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.967014 | hs_4 | sum_heuristic |
[
85,
40,
58,
86
] | 73 | [
"85-40=45",
"86-58=28",
"45+28=73"
] | Current State: 73:[85, 40, 58, 86], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [58, 86, 45]
Generated Node #2: [58, 86, 45] from Operation: 85-40=45
Current State: 73:[58, 86, 45], Operations: ['85-40=45']
Exploring Operation: 86-58=28, Resulting Numbers: [45, 28]
Generated Node #3: [45, 28] from Operation: 86-58=28
Current State: 73:[45, 28], Operations: ['85-40=45', '86-58=28']
Exploring Operation: 45+28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[85, 40, 58, 86], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [58, 86, 45]
Generated Node #0,0: 73:[58, 86, 45] Operation: 85-40=45
Exploring Operation: 85+40=125, Resulting Numbers: [58, 86, 125]
Generated Node #0,1: 73:[58, 86, 125] Operation: 85+40=125
Exploring Operation: 86-40=46, Resulting Numbers: [85, 58, 46]
Generated Node #0,2: 73:[85, 58, 46] Operation: 86-40=46
Exploring Operation: 40+58=98, Resulting Numbers: [85, 86, 98]
Generated Node #0,3: 73:[85, 86, 98] Operation: 40+58=98
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[85, 86, 98], Operations: ['40+58=98']
Exploring Operation: 85+86=171, Resulting Numbers: [98, 171]
Generated Node #0,3,0: 73:[98, 171] Operation: 85+86=171
Exploring Operation: 98-85=13, Resulting Numbers: [86, 13]
Generated Node #0,3,1: 73:[86, 13] Operation: 98-85=13
Exploring Operation: 98-86=12, Resulting Numbers: [85, 12]
Generated Node #0,3,2: 73:[85, 12] Operation: 98-86=12
Exploring Operation: 86-85=1, Resulting Numbers: [98, 1]
Generated Node #0,3,3: 73:[98, 1] Operation: 86-85=1
Moving to Node #0,3,1
Current State: 73:[86, 13], Operations: ['40+58=98', '98-85=13']
Exploring Operation: 86*13=1118, Resulting Numbers: [1118]
1118,73 unequal: No Solution
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,73 unequal: No Solution
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[85, 40, 58, 86], Operations: []
Exploring Operation: 40+58=98, Resulting Numbers: [85, 86, 98]
Generated Node #0,3: 73:[85, 86, 98] Operation: 40+58=98
Moving to Node #0,3
Current State: 73:[85, 86, 98], Operations: ['40+58=98']
Exploring Operation: 98-85=13, Resulting Numbers: [86, 13]
Generated Node #0,3,1: 73:[86, 13] Operation: 98-85=13
Moving to Node #0,3,1
Current State: 73:[86, 13], Operations: ['40+58=98', '98-85=13']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
58,
16,
65,
14
] | 37 | [
"58-16=42",
"65+14=79",
"79-42=37"
] | Current State: 37:[58, 16, 65, 14], Operations: []
Exploring Operation: 58-16=42, Resulting Numbers: [65, 14, 42]
Generated Node #2: [65, 14, 42] from Operation: 58-16=42
Current State: 37:[65, 14, 42], Operations: ['58-16=42']
Exploring Operation: 65+14=79, Resulting Numbers: [42, 79]
Generated Node #3: [42, 79] from Operation: 65+14=79
Current State: 37:[42, 79], Operations: ['58-16=42', '65+14=79']
Exploring Operation: 79-42=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[58, 16, 65, 14], Operations: []
Exploring Operation: 58-14=44, Resulting Numbers: [16, 65, 44]
Generated Node #0,0: 37:[16, 65, 44] Operation: 58-14=44
Exploring Operation: 58-16=42, Resulting Numbers: [65, 14, 42]
Generated Node #0,1: 37:[65, 14, 42] Operation: 58-16=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[16, 65, 44], Operations: ['58-14=44']
Exploring Operation: 65-16=49, Resulting Numbers: [44, 49]
Generated Node #0,0,0: 37:[44, 49] Operation: 65-16=49
Exploring Operation: 44-16=28, Resulting Numbers: [65, 28]
Generated Node #0,0,1: 37:[65, 28] Operation: 44-16=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[44, 49], Operations: ['58-14=44', '65-16=49']
Exploring Operation: 49-44=5, Resulting Numbers: [5]
5,37 unequal: No Solution
Exploring Operation: 44+49=93, Resulting Numbers: [93]
93,37 unequal: No Solution
No 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: 37:[65, 28], Operations: ['58-14=44', '44-16=28']
Exploring Operation: 65+28=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[58, 16, 65, 14], Operations: []
Exploring Operation: 58-14=44, Resulting Numbers: [16, 65, 44]
Generated Node #0,0: 37:[16, 65, 44] Operation: 58-14=44
Moving to Node #0,0
Current State: 37:[16, 65, 44], Operations: ['58-14=44']
Exploring Operation: 44-16=28, Resulting Numbers: [65, 28]
Generated Node #0,0,1: 37:[65, 28] Operation: 44-16=28
Moving to Node #0,0,1
Current State: 37:[65, 28], Operations: ['58-14=44', '44-16=28']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
88,
48,
29,
80
] | 11 | [
"88-48=40",
"80-29=51",
"51-40=11"
] | Current State: 11:[88, 48, 29, 80], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [29, 80, 40]
Generated Node #2: [29, 80, 40] from Operation: 88-48=40
Current State: 11:[29, 80, 40], Operations: ['88-48=40']
Exploring Operation: 80-29=51, Resulting Numbers: [40, 51]
Generated Node #3: [40, 51] from Operation: 80-29=51
Current State: 11:[40, 51], Operations: ['88-48=40', '80-29=51']
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[88, 48, 29, 80], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [48, 29, 8]
Generated Node #0,0: 11:[48, 29, 8] Operation: 88-80=8
Exploring Operation: 80-48=32, Resulting Numbers: [88, 29, 32]
Generated Node #0,1: 11:[88, 29, 32] Operation: 80-48=32
Exploring Operation: 88-29=59, Resulting Numbers: [48, 80, 59]
Generated Node #0,2: 11:[48, 80, 59] Operation: 88-29=59
Exploring Operation: 88-48=40, Resulting Numbers: [29, 80, 40]
Generated Node #0,3: 11:[29, 80, 40] Operation: 88-48=40
Moving to Node #0,0
Current State: 11:[48, 29, 8], Operations: ['88-80=8']
Exploring Operation: 48-29=19, Resulting Numbers: [8, 19]
Generated Node #0,0,0: 11:[8, 19] Operation: 48-29=19
Exploring Operation: 48-8=40, Resulting Numbers: [29, 40]
Generated Node #0,0,1: 11:[29, 40] Operation: 48-8=40
Exploring Operation: 48/8=6, Resulting Numbers: [29, 6]
Generated Node #0,0,2: 11:[29, 6] Operation: 48/8=6
Exploring Operation: 29-8=21, Resulting Numbers: [48, 21]
Generated Node #0,0,3: 11:[48, 21] Operation: 29-8=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[8, 19], Operations: ['88-80=8', '48-29=19']
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,11 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[88, 48, 29, 80], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [48, 29, 8]
Generated Node #0,0: 11:[48, 29, 8] Operation: 88-80=8
Moving to Node #0,0
Current State: 11:[48, 29, 8], Operations: ['88-80=8']
Exploring Operation: 48-29=19, Resulting Numbers: [8, 19]
Generated Node #0,0,0: 11:[8, 19] Operation: 48-29=19
Moving to Node #0,0,0
Current State: 11:[8, 19], Operations: ['88-80=8', '48-29=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
39,
60,
55,
89
] | 66 | [
"89-39=50",
"60*55=3300",
"3300/50=66"
] | Current State: 66:[39, 60, 55, 89], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [60, 55, 50]
Generated Node #2: [60, 55, 50] from Operation: 89-39=50
Current State: 66:[60, 55, 50], Operations: ['89-39=50']
Exploring Operation: 60*55=3300, Resulting Numbers: [50, 3300]
Generated Node #3: [50, 3300] from Operation: 60*55=3300
Current State: 66:[50, 3300], Operations: ['89-39=50', '60*55=3300']
Exploring Operation: 3300/50=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[39, 60, 55, 89], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [39, 60, 34]
Generated Node #0,0: 66:[39, 60, 34] Operation: 89-55=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[39, 60, 34], Operations: ['89-55=34']
Exploring Operation: 60-39=21, Resulting Numbers: [34, 21]
Generated Node #0,0,0: 66:[34, 21] Operation: 60-39=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[34, 21], Operations: ['89-55=34', '60-39=21']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
44,
57,
15,
5
] | 98 | [
"44+57=101",
"15/5=3",
"101-3=98"
] | Current State: 98:[44, 57, 15, 5], Operations: []
Exploring Operation: 44+57=101, Resulting Numbers: [15, 5, 101]
Generated Node #2: [15, 5, 101] from Operation: 44+57=101
Current State: 98:[15, 5, 101], Operations: ['44+57=101']
Exploring Operation: 15/5=3, Resulting Numbers: [101, 3]
Generated Node #3: [101, 3] from Operation: 15/5=3
Current State: 98:[101, 3], Operations: ['44+57=101', '15/5=3']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[44, 57, 15, 5], Operations: []
Exploring Operation: 57-5=52, Resulting Numbers: [44, 15, 52]
Generated Node #0,0: 98:[44, 15, 52] Operation: 57-5=52
Exploring Operation: 44+5=49, Resulting Numbers: [57, 15, 49]
Generated Node #0,1: 98:[57, 15, 49] Operation: 44+5=49
Exploring Operation: 57-44=13, Resulting Numbers: [15, 5, 13]
Generated Node #0,2: 98:[15, 5, 13] Operation: 57-44=13
Exploring Operation: 44+57=101, Resulting Numbers: [15, 5, 101]
Generated Node #0,3: 98:[15, 5, 101] Operation: 44+57=101
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[15, 5, 13], Operations: ['57-44=13']
Exploring Operation: 15-5=10, Resulting Numbers: [13, 10]
Generated Node #0,2,0: 98:[13, 10] Operation: 15-5=10
Exploring Operation: 13-5=8, Resulting Numbers: [15, 8]
Generated Node #0,2,1: 98:[15, 8] Operation: 13-5=8
Exploring Operation: 15/5=3, Resulting Numbers: [13, 3]
Generated Node #0,2,2: 98:[13, 3] Operation: 15/5=3
Exploring Operation: 15-13=2, Resulting Numbers: [5, 2]
Generated Node #0,2,3: 98:[5, 2] Operation: 15-13=2
Moving to Node #0,2,1
Current State: 98:[15, 8], Operations: ['57-44=13', '13-5=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,98 unequal: No Solution
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[5, 2], Operations: ['57-44=13', '15-13=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[13, 3], Operations: ['57-44=13', '15/5=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[13, 10], Operations: ['57-44=13', '15-5=10']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,98 unequal: No Solution
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,98 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 #0,3
Current State: 98:[15, 5, 101], Operations: ['44+57=101']
Exploring Operation: 15+5=20, Resulting Numbers: [101, 20]
Generated Node #0,3,0: 98:[101, 20] Operation: 15+5=20
Exploring Operation: 15-5=10, Resulting Numbers: [101, 10]
Generated Node #0,3,1: 98:[101, 10] Operation: 15-5=10
Exploring Operation: 15/5=3, Resulting Numbers: [101, 3]
Generated Node #0,3,2: 98:[101, 3] Operation: 15/5=3
Exploring Operation: 101-5=96, Resulting Numbers: [15, 96]
Generated Node #0,3,3: 98:[15, 96] Operation: 101-5=96
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 98:[15, 96], Operations: ['44+57=101', '101-5=96']
Exploring Operation: 15*96=1440, Resulting Numbers: [1440]
1440,98 unequal: No Solution
Exploring Operation: 96-15=81, Resulting Numbers: [81]
81,98 unequal: No Solution
Exploring Operation: 15+96=111, Resulting Numbers: [111]
111,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 98:[101, 3], Operations: ['44+57=101', '15/5=3']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[44, 57, 15, 5], Operations: []
Exploring Operation: 44+57=101, Resulting Numbers: [15, 5, 101]
Generated Node #0,3: 98:[15, 5, 101] Operation: 44+57=101
Moving to Node #0,3
Current State: 98:[15, 5, 101], Operations: ['44+57=101']
Exploring Operation: 15/5=3, Resulting Numbers: [101, 3]
Generated Node #0,3,2: 98:[101, 3] Operation: 15/5=3
Moving to Node #0,3,2
Current State: 98:[101, 3], Operations: ['44+57=101', '15/5=3']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
58,
85,
76,
54
] | 38 | [
"85-58=27",
"76*27=2052",
"2052/54=38"
] | Current State: 38:[58, 85, 76, 54], Operations: []
Exploring Operation: 85-58=27, Resulting Numbers: [76, 54, 27]
Generated Node #2: [76, 54, 27] from Operation: 85-58=27
Current State: 38:[76, 54, 27], Operations: ['85-58=27']
Exploring Operation: 76*27=2052, Resulting Numbers: [54, 2052]
Generated Node #3: [54, 2052] from Operation: 76*27=2052
Current State: 38:[54, 2052], Operations: ['85-58=27', '76*27=2052']
Exploring Operation: 2052/54=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[58, 85, 76, 54], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [58, 54, 9]
Generated Node #0,0: 38:[58, 54, 9] Operation: 85-76=9
Exploring Operation: 85-58=27, Resulting Numbers: [76, 54, 27]
Generated Node #0,1: 38:[76, 54, 27] Operation: 85-58=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[58, 54, 9], Operations: ['85-76=9']
Exploring Operation: 58-54=4, Resulting Numbers: [9, 4]
Generated Node #0,0,0: 38:[9, 4] Operation: 58-54=4
Exploring Operation: 54/9=6, Resulting Numbers: [58, 6]
Generated Node #0,0,1: 38:[58, 6] Operation: 54/9=6
Moving to Node #0,0,0
Current State: 38:[9, 4], Operations: ['85-76=9', '58-54=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,38 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[58, 6], Operations: ['85-76=9', '54/9=6']
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,38 unequal: No Solution
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,38 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:[76, 54, 27], Operations: ['85-58=27']
Exploring Operation: 76-27=49, Resulting Numbers: [54, 49]
Generated Node #0,1,0: 38:[54, 49] Operation: 76-27=49
Exploring Operation: 76-54=22, Resulting Numbers: [27, 22]
Generated Node #0,1,1: 38:[27, 22] Operation: 76-54=22
Moving to Node #0,1,1
Current State: 38:[27, 22], Operations: ['85-58=27', '76-54=22']
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,38 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[54, 49], Operations: ['85-58=27', '76-27=49']
Exploring Operation: 54-49=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 54+49=103, Resulting Numbers: [103]
103,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
76,
39,
96,
57
] | 38 | [
"76+39=115",
"96+57=153",
"153-115=38"
] | Current State: 38:[76, 39, 96, 57], Operations: []
Exploring Operation: 76+39=115, Resulting Numbers: [96, 57, 115]
Generated Node #2: [96, 57, 115] from Operation: 76+39=115
Current State: 38:[96, 57, 115], Operations: ['76+39=115']
Exploring Operation: 96+57=153, Resulting Numbers: [115, 153]
Generated Node #3: [115, 153] from Operation: 96+57=153
Current State: 38:[115, 153], Operations: ['76+39=115', '96+57=153']
Exploring Operation: 153-115=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[76, 39, 96, 57], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [39, 57, 20]
Generated Node #0,0: 38:[39, 57, 20] Operation: 96-76=20
Exploring Operation: 96-57=39, Resulting Numbers: [76, 39, 39]
Generated Node #0,1: 38:[76, 39, 39] Operation: 96-57=39
Moving to Node #0,0
Current State: 38:[39, 57, 20], Operations: ['96-76=20']
Exploring Operation: 57-39=18, Resulting Numbers: [20, 18]
Generated Node #0,0,0: 38:[20, 18] Operation: 57-39=18
Exploring Operation: 57-20=37, Resulting Numbers: [39, 37]
Generated Node #0,0,1: 38:[39, 37] Operation: 57-20=37
Moving to Node #0,1
Current State: 38:[76, 39, 39], Operations: ['96-57=39']
Exploring Operation: 76-39=37, Resulting Numbers: [39, 37]
Generated Node #0,1,0: 38:[39, 37] Operation: 76-39=37
Exploring Operation: 76-39=37, Resulting Numbers: [39, 37]
Generated Node #0,1,1: 38:[39, 37] Operation: 76-39=37
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[39, 37], Operations: ['96-57=39', '76-39=37']
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,38 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 #0,1,1
Current State: 38:[39, 37], Operations: ['96-57=39', '76-39=37']
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,38 unequal: No Solution
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,38 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: 38:[20, 18], Operations: ['96-76=20', '57-39=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[76, 39, 96, 57], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [39, 57, 20]
Generated Node #0,0: 38:[39, 57, 20] Operation: 96-76=20
Moving to Node #0,0
Current State: 38:[39, 57, 20], Operations: ['96-76=20']
Exploring Operation: 57-39=18, Resulting Numbers: [20, 18]
Generated Node #0,0,0: 38:[20, 18] Operation: 57-39=18
Moving to Node #0,0,0
Current State: 38:[20, 18], Operations: ['96-76=20', '57-39=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
1,
43,
14,
77
] | 74 | [
"43-1=42",
"42/14=3",
"77-3=74"
] | Current State: 74:[1, 43, 14, 77], Operations: []
Exploring Operation: 43-1=42, Resulting Numbers: [14, 77, 42]
Generated Node #2: [14, 77, 42] from Operation: 43-1=42
Current State: 74:[14, 77, 42], Operations: ['43-1=42']
Exploring Operation: 42/14=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 42/14=3
Current State: 74:[77, 3], Operations: ['43-1=42', '42/14=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[1, 43, 14, 77], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [1, 77, 29]
Generated Node #0,0: 74:[1, 77, 29] Operation: 43-14=29
Moving to Node #0,0
Current State: 74:[1, 77, 29], Operations: ['43-14=29']
Exploring Operation: 77-1=76, Resulting Numbers: [29, 76]
Generated Node #0,0,0: 74:[29, 76] Operation: 77-1=76
Moving to Node #0,0,0
Current State: 74:[29, 76], Operations: ['43-14=29', '77-1=76']
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,74 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
42,
50,
78,
68
] | 53 | [
"68-42=26",
"78/26=3",
"50+3=53"
] | Current State: 53:[42, 50, 78, 68], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [50, 78, 26]
Generated Node #2: [50, 78, 26] from Operation: 68-42=26
Current State: 53:[50, 78, 26], Operations: ['68-42=26']
Exploring Operation: 78/26=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 78/26=3
Current State: 53:[50, 3], Operations: ['68-42=26', '78/26=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[42, 50, 78, 68], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [50, 68, 36]
Generated Node #0,0: 53:[50, 68, 36] Operation: 78-42=36
Exploring Operation: 78-50=28, Resulting Numbers: [42, 68, 28]
Generated Node #0,1: 53:[42, 68, 28] Operation: 78-50=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[50, 68, 36], Operations: ['78-42=36']
Exploring Operation: 50+36=86, Resulting Numbers: [68, 86]
Generated Node #0,0,0: 53:[68, 86] Operation: 50+36=86
Exploring Operation: 68-36=32, Resulting Numbers: [50, 32]
Generated Node #0,0,1: 53:[50, 32] Operation: 68-36=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[50, 32], Operations: ['78-42=36', '68-36=32']
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,53 unequal: No Solution
No 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: 53:[68, 86], Operations: ['78-42=36', '50+36=86']
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 68+86=154, Resulting Numbers: [154]
154,53 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: 53:[42, 68, 28], Operations: ['78-50=28']
Exploring Operation: 68-28=40, Resulting Numbers: [42, 40]
Generated Node #0,1,0: 53:[42, 40] Operation: 68-28=40
Exploring Operation: 42+28=70, Resulting Numbers: [68, 70]
Generated Node #0,1,1: 53:[68, 70] Operation: 42+28=70
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[42, 40], Operations: ['78-50=28', '68-28=40']
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,53 unequal: No Solution
No 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: 53:[68, 70], Operations: ['78-50=28', '42+28=70']
Exploring Operation: 68+70=138, Resulting Numbers: [138]
138,53 unequal: No Solution
Exploring Operation: 70-68=2, Resulting Numbers: [2]
2,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
9,
7,
61,
9
] | 35 | [
"9-7=2",
"61+9=70",
"70/2=35"
] | Current State: 35:[9, 7, 61, 9], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [61, 2]
Generated Node #2: [61, 2] from Operation: 9-7=2
Current State: 35:[61, 2], Operations: ['9-7=2']
Exploring Operation: 61+9=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 61+9=70
Current State: 35:[2, 70], Operations: ['9-7=2', '61+9=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[9, 7, 61, 9], Operations: []
Exploring Operation: 61-9=52, Resulting Numbers: [7, 9, 52]
Generated Node #0,0: 35:[7, 9, 52] Operation: 61-9=52
Exploring Operation: 61-7=54, Resulting Numbers: [9, 9, 54]
Generated Node #0,1: 35:[9, 9, 54] Operation: 61-7=54
Exploring Operation: 61-9=52, Resulting Numbers: [9, 7, 52]
Generated Node #0,2: 35:[9, 7, 52] Operation: 61-9=52
Moving to Node #0,0
Current State: 35:[7, 9, 52], Operations: ['61-9=52']
Exploring Operation: 9-7=2, Resulting Numbers: [52, 2]
Generated Node #0,0,0: 35:[52, 2] Operation: 9-7=2
Exploring Operation: 52-9=43, Resulting Numbers: [7, 43]
Generated Node #0,0,1: 35:[7, 43] Operation: 52-9=43
Exploring Operation: 52-7=45, Resulting Numbers: [9, 45]
Generated Node #0,0,2: 35:[9, 45] Operation: 52-7=45
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[7, 43], Operations: ['61-9=52', '52-9=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 7*43=301, Resulting Numbers: [301]
301,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 35:[9, 45], Operations: ['61-9=52', '52-7=45']
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[52, 2], Operations: ['61-9=52', '9-7=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,35 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: 35:[9, 7, 52], Operations: ['61-9=52']
Exploring Operation: 9-7=2, Resulting Numbers: [52, 2]
Generated Node #0,2,0: 35:[52, 2] Operation: 9-7=2
Exploring Operation: 52-9=43, Resulting Numbers: [7, 43]
Generated Node #0,2,1: 35:[7, 43] Operation: 52-9=43
Exploring Operation: 52-7=45, Resulting Numbers: [9, 45]
Generated Node #0,2,2: 35:[9, 45] Operation: 52-7=45
Moving to Node #0,1
Current State: 35:[9, 9, 54], Operations: ['61-7=54']
Exploring Operation: 54/9=6, Resulting Numbers: [9, 6]
Generated Node #0,1,0: 35:[9, 6] Operation: 54/9=6
Exploring Operation: 54/9=6, Resulting Numbers: [9, 6]
Generated Node #0,1,1: 35:[9, 6] Operation: 54/9=6
Exploring Operation: 54-9=45, Resulting Numbers: [9, 45]
Generated Node #0,1,2: 35:[9, 45] Operation: 54-9=45
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[9, 6], Operations: ['61-7=54', '54/9=6']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[9, 6], Operations: ['61-7=54', '54/9=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[9, 45], Operations: ['61-7=54', '54-9=45']
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 35:[7, 43], Operations: ['61-9=52', '52-9=43']
Exploring Operation: 7*43=301, Resulting Numbers: [301]
301,35 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[9, 45], Operations: ['61-9=52', '52-7=45']
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[52, 2], Operations: ['61-9=52', '9-7=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,35 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
66,
49,
7,
61
] | 35 | [
"66-61=5",
"49/7=7",
"5*7=35"
] | Current State: 35:[66, 49, 7, 61], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [49, 7, 5]
Generated Node #2: [49, 7, 5] from Operation: 66-61=5
Current State: 35:[49, 7, 5], Operations: ['66-61=5']
Exploring Operation: 49/7=7, Resulting Numbers: [5, 7]
Generated Node #3: [5, 7] from Operation: 49/7=7
Current State: 35:[5, 7], Operations: ['66-61=5', '49/7=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[66, 49, 7, 61], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [49, 7, 5]
Generated Node #0,0: 35:[49, 7, 5] Operation: 66-61=5
Exploring Operation: 61-49=12, Resulting Numbers: [66, 7, 12]
Generated Node #0,1: 35:[66, 7, 12] Operation: 61-49=12
Exploring Operation: 49/7=7, Resulting Numbers: [66, 61, 7]
Generated Node #0,2: 35:[66, 61, 7] Operation: 49/7=7
Exploring Operation: 66-49=17, Resulting Numbers: [7, 61, 17]
Generated Node #0,3: 35:[7, 61, 17] Operation: 66-49=17
Moving to Node #0,0
Current State: 35:[49, 7, 5], Operations: ['66-61=5']
Exploring Operation: 49-5=44, Resulting Numbers: [7, 44]
Generated Node #0,0,0: 35:[7, 44] Operation: 49-5=44
Exploring Operation: 7*5=35, Resulting Numbers: [49, 35]
Generated Node #0,0,1: 35:[49, 35] Operation: 7*5=35
Exploring Operation: 49-7=42, Resulting Numbers: [5, 42]
Generated Node #0,0,2: 35:[5, 42] Operation: 49-7=42
Exploring Operation: 49/7=7, Resulting Numbers: [5, 7]
Generated Node #0,0,3: 35:[5, 7] Operation: 49/7=7
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 35:[5, 7], Operations: ['66-61=5', '49/7=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[66, 49, 7, 61], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [49, 7, 5]
Generated Node #0,0: 35:[49, 7, 5] Operation: 66-61=5
Moving to Node #0,0
Current State: 35:[49, 7, 5], Operations: ['66-61=5']
Exploring Operation: 49/7=7, Resulting Numbers: [5, 7]
Generated Node #0,0,3: 35:[5, 7] Operation: 49/7=7
Moving to Node #0,0,3
Current State: 35:[5, 7], Operations: ['66-61=5', '49/7=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
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