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 |
|---|---|---|---|---|---|---|---|---|
[
92,
97,
14,
50
] | 100 | [
"92-50=42",
"42/14=3",
"97+3=100"
] | Current State: 100:[92, 97, 14, 50], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [97, 14, 42]
Generated Node #2: [97, 14, 42] from Operation: 92-50=42
Current State: 100:[97, 14, 42], Operations: ['92-50=42']
Exploring Operation: 42/14=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 42/14=3
Current State: 100:[97, 3], Operations: ['92-50=42', '42/14=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[92, 97, 14, 50], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [14, 50, 5]
Generated Node #0,0: 100:[14, 50, 5] Operation: 97-92=5
Exploring Operation: 92+14=106, Resulting Numbers: [97, 50, 106]
Generated Node #0,1: 100:[97, 50, 106] Operation: 92+14=106
Exploring Operation: 97+14=111, Resulting Numbers: [92, 50, 111]
Generated Node #0,2: 100:[92, 50, 111] Operation: 97+14=111
Exploring Operation: 97-50=47, Resulting Numbers: [92, 14, 47]
Generated Node #0,3: 100:[92, 14, 47] Operation: 97-50=47
Exploring Operation: 92-50=42, Resulting Numbers: [97, 14, 42]
Generated Node #0,4: 100:[97, 14, 42] Operation: 92-50=42
Moving to Node #0,0
Current State: 100:[14, 50, 5], Operations: ['97-92=5']
Exploring Operation: 14+5=19, Resulting Numbers: [50, 19]
Generated Node #0,0,0: 100:[50, 19] Operation: 14+5=19
Exploring Operation: 50-5=45, Resulting Numbers: [14, 45]
Generated Node #0,0,1: 100:[14, 45] Operation: 50-5=45
Exploring Operation: 14-5=9, Resulting Numbers: [50, 9]
Generated Node #0,0,2: 100:[50, 9] Operation: 14-5=9
Exploring Operation: 50+5=55, Resulting Numbers: [14, 55]
Generated Node #0,0,3: 100:[14, 55] Operation: 50+5=55
Exploring Operation: 50/5=10, Resulting Numbers: [14, 10]
Generated Node #0,0,4: 100:[14, 10] Operation: 50/5=10
Moving to Node #0,1
Current State: 100:[97, 50, 106], Operations: ['92+14=106']
Exploring Operation: 50+106=156, Resulting Numbers: [97, 156]
Generated Node #0,1,0: 100:[97, 156] Operation: 50+106=156
Exploring Operation: 97-50=47, Resulting Numbers: [106, 47]
Generated Node #0,1,1: 100:[106, 47] Operation: 97-50=47
Exploring Operation: 106-97=9, Resulting Numbers: [50, 9]
Generated Node #0,1,2: 100:[50, 9] Operation: 106-97=9
Exploring Operation: 97+50=147, Resulting Numbers: [106, 147]
Generated Node #0,1,3: 100:[106, 147] Operation: 97+50=147
Exploring Operation: 106-50=56, Resulting Numbers: [97, 56]
Generated Node #0,1,4: 100:[97, 56] Operation: 106-50=56
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 100:[50, 9], Operations: ['92+14=106', '106-97=9']
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,100 unequal: No Solution
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[106, 47], Operations: ['92+14=106', '97-50=47']
Exploring Operation: 106*47=4982, Resulting Numbers: [4982]
4982,100 unequal: No Solution
Exploring Operation: 106+47=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Exploring Operation: 106-47=59, Resulting Numbers: [59]
59,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 100:[97, 56], Operations: ['92+14=106', '106-50=56']
Exploring Operation: 97+56=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Exploring Operation: 97*56=5432, Resulting Numbers: [5432]
5432,100 unequal: No Solution
Exploring Operation: 97-56=41, Resulting Numbers: [41]
41,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 100:[106, 147], Operations: ['92+14=106', '97+50=147']
Exploring Operation: 147-106=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 106+147=253, Resulting Numbers: [253]
253,100 unequal: No Solution
Exploring Operation: 106*147=15582, Resulting Numbers: [15582]
15582,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[97, 156], Operations: ['92+14=106', '50+106=156']
Exploring Operation: 97+156=253, Resulting Numbers: [253]
253,100 unequal: No Solution
Exploring Operation: 97*156=15132, Resulting Numbers: [15132]
15132,100 unequal: No Solution
Exploring Operation: 156-97=59, Resulting Numbers: [59]
59,100 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: 100:[92, 14, 47], Operations: ['97-50=47']
Exploring Operation: 92-47=45, Resulting Numbers: [14, 45]
Generated Node #0,3,0: 100:[14, 45] Operation: 92-47=45
Exploring Operation: 14+47=61, Resulting Numbers: [92, 61]
Generated Node #0,3,1: 100:[92, 61] Operation: 14+47=61
Exploring Operation: 47-14=33, Resulting Numbers: [92, 33]
Generated Node #0,3,2: 100:[92, 33] Operation: 47-14=33
Exploring Operation: 92+14=106, Resulting Numbers: [47, 106]
Generated Node #0,3,3: 100:[47, 106] Operation: 92+14=106
Exploring Operation: 92-14=78, Resulting Numbers: [47, 78]
Generated Node #0,3,4: 100:[47, 78] Operation: 92-14=78
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 100:[14, 45], Operations: ['97-50=47', '92-47=45']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,100 unequal: No Solution
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 100:[47, 106], Operations: ['97-50=47', '92+14=106']
Exploring Operation: 106-47=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 47*106=4982, Resulting Numbers: [4982]
4982,100 unequal: No Solution
Exploring Operation: 47+106=153, Resulting Numbers: [153]
153,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 100:[92, 33], Operations: ['97-50=47', '47-14=33']
Exploring Operation: 92+33=125, Resulting Numbers: [125]
125,100 unequal: No Solution
Exploring Operation: 92*33=3036, Resulting Numbers: [3036]
3036,100 unequal: No Solution
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 100:[92, 61], Operations: ['97-50=47', '14+47=61']
Exploring Operation: 92+61=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Exploring Operation: 92*61=5612, Resulting Numbers: [5612]
5612,100 unequal: No Solution
Exploring Operation: 92-61=31, Resulting Numbers: [31]
31,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 100:[47, 78], Operations: ['97-50=47', '92-14=78']
Exploring Operation: 47+78=125, Resulting Numbers: [125]
125,100 unequal: No Solution
Exploring Operation: 78-47=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 47*78=3666, Resulting Numbers: [3666]
3666,100 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: 100:[97, 14, 42], Operations: ['92-50=42']
Exploring Operation: 42-14=28, Resulting Numbers: [97, 28]
Generated Node #0,4,0: 100:[97, 28] Operation: 42-14=28
Exploring Operation: 97-42=55, Resulting Numbers: [14, 55]
Generated Node #0,4,1: 100:[14, 55] Operation: 97-42=55
Exploring Operation: 97+14=111, Resulting Numbers: [42, 111]
Generated Node #0,4,2: 100:[42, 111] Operation: 97+14=111
Exploring Operation: 14+42=56, Resulting Numbers: [97, 56]
Generated Node #0,4,3: 100:[97, 56] Operation: 14+42=56
Exploring Operation: 42/14=3, Resulting Numbers: [97, 3]
Generated Node #0,4,4: 100:[97, 3] Operation: 42/14=3
Moving to Node #0,2
Current State: 100:[92, 50, 111], Operations: ['97+14=111']
Exploring Operation: 111-92=19, Resulting Numbers: [50, 19]
Generated Node #0,2,0: 100:[50, 19] Operation: 111-92=19
Exploring Operation: 92+50=142, Resulting Numbers: [111, 142]
Generated Node #0,2,1: 100:[111, 142] Operation: 92+50=142
Exploring Operation: 50+111=161, Resulting Numbers: [92, 161]
Generated Node #0,2,2: 100:[92, 161] Operation: 50+111=161
Exploring Operation: 111-50=61, Resulting Numbers: [92, 61]
Generated Node #0,2,3: 100:[92, 61] Operation: 111-50=61
Exploring Operation: 92-50=42, Resulting Numbers: [111, 42]
Generated Node #0,2,4: 100:[111, 42] Operation: 92-50=42
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 100:[50, 19], Operations: ['97+14=111', '111-92=19']
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 50*19=950, Resulting Numbers: [950]
950,100 unequal: No Solution
Exploring Operation: 50+19=69, Resulting Numbers: [69]
69,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 100:[92, 61], Operations: ['97+14=111', '111-50=61']
Exploring Operation: 92+61=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Exploring Operation: 92-61=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 92*61=5612, Resulting Numbers: [5612]
5612,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 100:[111, 42], Operations: ['97+14=111', '92-50=42']
Exploring Operation: 111-42=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 111+42=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Exploring Operation: 111*42=4662, Resulting Numbers: [4662]
4662,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[111, 142], Operations: ['97+14=111', '92+50=142']
Exploring Operation: 111+142=253, Resulting Numbers: [253]
253,100 unequal: No Solution
Exploring Operation: 142-111=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 111*142=15762, Resulting Numbers: [15762]
15762,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 100:[92, 161], Operations: ['97+14=111', '50+111=161']
Exploring Operation: 92+161=253, Resulting Numbers: [253]
253,100 unequal: No Solution
Exploring Operation: 92*161=14812, Resulting Numbers: [14812]
14812,100 unequal: No Solution
Exploring Operation: 161-92=69, Resulting Numbers: [69]
69,100 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: 100:[50, 19], Operations: ['97-92=5', '14+5=19']
Exploring Operation: 50*19=950, Resulting Numbers: [950]
950,100 unequal: No Solution
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 50+19=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[50, 9], Operations: ['97-92=5', '14-5=9']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,100 unequal: No Solution
Moving to Node #0,0,4
Current State: 100:[14, 10], Operations: ['97-92=5', '50/5=10']
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,100 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,100 unequal: No Solution
Moving to Node #0,4,4
Current State: 100:[97, 3], Operations: ['92-50=42', '42/14=3']
Exploring Operation: 97*3=291, Resulting Numbers: [291]
291,100 unequal: No Solution
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[92, 97, 14, 50], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [97, 14, 42]
Generated Node #0,4: 100:[97, 14, 42] Operation: 92-50=42
Moving to Node #0,4
Current State: 100:[97, 14, 42], Operations: ['92-50=42']
Exploring Operation: 42/14=3, Resulting Numbers: [97, 3]
Generated Node #0,4,4: 100:[97, 3] Operation: 42/14=3
Moving to Node #0,4,4
Current State: 100:[97, 3], Operations: ['92-50=42', '42/14=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.921875 | hs_5 | sum_heuristic |
[
80,
40,
60,
47
] | 53 | [
"80-40=40",
"60-47=13",
"40+13=53"
] | Current State: 53:[80, 40, 60, 47], Operations: []
Exploring Operation: 80-40=40, Resulting Numbers: [60, 47, 40]
Generated Node #2: [60, 47, 40] from Operation: 80-40=40
Current State: 53:[60, 47, 40], Operations: ['80-40=40']
Exploring Operation: 60-47=13, Resulting Numbers: [40, 13]
Generated Node #3: [40, 13] from Operation: 60-47=13
Current State: 53:[40, 13], Operations: ['80-40=40', '60-47=13']
Exploring Operation: 40+13=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[80, 40, 60, 47], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [60, 47, 2]
Generated Node #0,0: 53:[60, 47, 2] Operation: 80/40=2
Exploring Operation: 80-40=40, Resulting Numbers: [60, 47, 40]
Generated Node #0,1: 53:[60, 47, 40] Operation: 80-40=40
Exploring Operation: 80-47=33, Resulting Numbers: [40, 60, 33]
Generated Node #0,2: 53:[40, 60, 33] Operation: 80-47=33
Exploring Operation: 60-40=20, Resulting Numbers: [80, 47, 20]
Generated Node #0,3: 53:[80, 47, 20] Operation: 60-40=20
Exploring Operation: 80-60=20, Resulting Numbers: [40, 47, 20]
Generated Node #0,4: 53:[40, 47, 20] Operation: 80-60=20
Moving to Node #0,1
Current State: 53:[60, 47, 40], Operations: ['80-40=40']
Exploring Operation: 47+40=87, Resulting Numbers: [60, 87]
Generated Node #0,1,0: 53:[60, 87] Operation: 47+40=87
Exploring Operation: 60+40=100, Resulting Numbers: [47, 100]
Generated Node #0,1,1: 53:[47, 100] Operation: 60+40=100
Exploring Operation: 60-40=20, Resulting Numbers: [47, 20]
Generated Node #0,1,2: 53:[47, 20] Operation: 60-40=20
Exploring Operation: 47-40=7, Resulting Numbers: [60, 7]
Generated Node #0,1,3: 53:[60, 7] Operation: 47-40=7
Exploring Operation: 60-47=13, Resulting Numbers: [40, 13]
Generated Node #0,1,4: 53:[40, 13] Operation: 60-47=13
Moving to Node #0,2
Current State: 53:[40, 60, 33], Operations: ['80-47=33']
Exploring Operation: 40-33=7, Resulting Numbers: [60, 7]
Generated Node #0,2,0: 53:[60, 7] Operation: 40-33=7
Exploring Operation: 60-40=20, Resulting Numbers: [33, 20]
Generated Node #0,2,1: 53:[33, 20] Operation: 60-40=20
Exploring Operation: 40+33=73, Resulting Numbers: [60, 73]
Generated Node #0,2,2: 53:[60, 73] Operation: 40+33=73
Exploring Operation: 60-33=27, Resulting Numbers: [40, 27]
Generated Node #0,2,3: 53:[40, 27] Operation: 60-33=27
Exploring Operation: 60+33=93, Resulting Numbers: [40, 93]
Generated Node #0,2,4: 53:[40, 93] Operation: 60+33=93
Moving to Node #0,4
Current State: 53:[40, 47, 20], Operations: ['80-60=20']
Exploring Operation: 40/20=2, Resulting Numbers: [47, 2]
Generated Node #0,4,0: 53:[47, 2] Operation: 40/20=2
Exploring Operation: 40-20=20, Resulting Numbers: [47, 20]
Generated Node #0,4,1: 53:[47, 20] Operation: 40-20=20
Exploring Operation: 47+20=67, Resulting Numbers: [40, 67]
Generated Node #0,4,2: 53:[40, 67] Operation: 47+20=67
Exploring Operation: 40+20=60, Resulting Numbers: [47, 60]
Generated Node #0,4,3: 53:[47, 60] Operation: 40+20=60
Exploring Operation: 47-20=27, Resulting Numbers: [40, 27]
Generated Node #0,4,4: 53:[40, 27] Operation: 47-20=27
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 53:[47, 60], Operations: ['80-60=20', '40+20=60']
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 47*60=2820, Resulting Numbers: [2820]
2820,53 unequal: No Solution
Exploring Operation: 47+60=107, Resulting Numbers: [107]
107,53 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:[40, 67], Operations: ['80-60=20', '47+20=67']
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,53 unequal: No Solution
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,53 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:[47, 20], Operations: ['80-60=20', '40-20=20']
Exploring Operation: 47*20=940, Resulting Numbers: [940]
940,53 unequal: No Solution
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,53 unequal: No Solution
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,53 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 #0,4,4
Current State: 53:[40, 27], Operations: ['80-60=20', '47-20=27']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 40*27=1080, Resulting Numbers: [1080]
1080,53 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:[47, 2], Operations: ['80-60=20', '40/20=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,53 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,53 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,53 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: 53:[60, 47, 2], Operations: ['80/40=2']
Exploring Operation: 60+2=62, Resulting Numbers: [47, 62]
Generated Node #0,0,0: 53:[47, 62] Operation: 60+2=62
Exploring Operation: 60-2=58, Resulting Numbers: [47, 58]
Generated Node #0,0,1: 53:[47, 58] Operation: 60-2=58
Exploring Operation: 47+2=49, Resulting Numbers: [60, 49]
Generated Node #0,0,2: 53:[60, 49] Operation: 47+2=49
Exploring Operation: 47-2=45, Resulting Numbers: [60, 45]
Generated Node #0,0,3: 53:[60, 45] Operation: 47-2=45
Exploring Operation: 60/2=30, Resulting Numbers: [47, 30]
Generated Node #0,0,4: 53:[47, 30] Operation: 60/2=30
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[47, 58], Operations: ['80/40=2', '60-2=58']
Exploring Operation: 47*58=2726, Resulting Numbers: [2726]
2726,53 unequal: No Solution
Exploring Operation: 47+58=105, Resulting Numbers: [105]
105,53 unequal: No Solution
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[60, 49], Operations: ['80/40=2', '47+2=49']
Exploring Operation: 60+49=109, Resulting Numbers: [109]
109,53 unequal: No Solution
Exploring Operation: 60*49=2940, Resulting Numbers: [2940]
2940,53 unequal: No Solution
Exploring Operation: 60-49=11, Resulting Numbers: [11]
11,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[47, 62], Operations: ['80/40=2', '60+2=62']
Exploring Operation: 47+62=109, Resulting Numbers: [109]
109,53 unequal: No Solution
Exploring Operation: 47*62=2914, Resulting Numbers: [2914]
2914,53 unequal: No Solution
Exploring Operation: 62-47=15, Resulting Numbers: [15]
15,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 53:[60, 45], Operations: ['80/40=2', '47-2=45']
Exploring Operation: 60*45=2700, Resulting Numbers: [2700]
2700,53 unequal: No Solution
Exploring Operation: 60+45=105, Resulting Numbers: [105]
105,53 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 53:[47, 30], Operations: ['80/40=2', '60/2=30']
Exploring Operation: 47+30=77, Resulting Numbers: [77]
77,53 unequal: No Solution
Exploring Operation: 47*30=1410, Resulting Numbers: [1410]
1410,53 unequal: No Solution
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,53 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: 53:[80, 47, 20], Operations: ['60-40=20']
Exploring Operation: 80-20=60, Resulting Numbers: [47, 60]
Generated Node #0,3,0: 53:[47, 60] Operation: 80-20=60
Exploring Operation: 47+20=67, Resulting Numbers: [80, 67]
Generated Node #0,3,1: 53:[80, 67] Operation: 47+20=67
Exploring Operation: 47-20=27, Resulting Numbers: [80, 27]
Generated Node #0,3,2: 53:[80, 27] Operation: 47-20=27
Exploring Operation: 80+20=100, Resulting Numbers: [47, 100]
Generated Node #0,3,3: 53:[47, 100] Operation: 80+20=100
Exploring Operation: 80-47=33, Resulting Numbers: [20, 33]
Generated Node #0,3,4: 53:[20, 33] Operation: 80-47=33
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 53:[47, 60], Operations: ['60-40=20', '80-20=60']
Exploring Operation: 47*60=2820, Resulting Numbers: [2820]
2820,53 unequal: No Solution
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 47+60=107, Resulting Numbers: [107]
107,53 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 #0,3,1
Current State: 53:[80, 67], Operations: ['60-40=20', '47+20=67']
Exploring Operation: 80*67=5360, Resulting Numbers: [5360]
5360,53 unequal: No Solution
Exploring Operation: 80+67=147, Resulting Numbers: [147]
147,53 unequal: No Solution
Exploring Operation: 80-67=13, Resulting Numbers: [13]
13,53 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:[80, 27], Operations: ['60-40=20', '47-20=27']
Exploring Operation: 80*27=2160, Resulting Numbers: [2160]
2160,53 unequal: No Solution
Exploring Operation: 80+27=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[80, 40, 60, 47], Operations: []
Exploring Operation: 60-40=20, Resulting Numbers: [80, 47, 20]
Generated Node #0,3: 53:[80, 47, 20] Operation: 60-40=20
Moving to Node #0,3
Current State: 53:[80, 47, 20], Operations: ['60-40=20']
Exploring Operation: 47-20=27, Resulting Numbers: [80, 27]
Generated Node #0,3,2: 53:[80, 27] Operation: 47-20=27
Moving to Node #0,3,2
Current State: 53:[80, 27], Operations: ['60-40=20', '47-20=27']
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.936632 | hs_5 | mult_heuristic |
[
33,
2,
23,
68
] | 44 | [
"33+23=56",
"2*56=112",
"112-68=44"
] | Current State: 44:[33, 2, 23, 68], Operations: []
Exploring Operation: 33+23=56, Resulting Numbers: [2, 68, 56]
Generated Node #2: [2, 68, 56] from Operation: 33+23=56
Current State: 44:[2, 68, 56], Operations: ['33+23=56']
Exploring Operation: 2*56=112, Resulting Numbers: [68, 112]
Generated Node #3: [68, 112] from Operation: 2*56=112
Current State: 44:[68, 112], Operations: ['33+23=56', '2*56=112']
Exploring Operation: 112-68=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[33, 2, 23, 68], Operations: []
Exploring Operation: 68-33=35, Resulting Numbers: [2, 23, 35]
Generated Node #0,0: 44:[2, 23, 35] Operation: 68-33=35
Exploring Operation: 68-23=45, Resulting Numbers: [33, 2, 45]
Generated Node #0,1: 44:[33, 2, 45] Operation: 68-23=45
Exploring Operation: 68/2=34, Resulting Numbers: [33, 23, 34]
Generated Node #0,2: 44:[33, 23, 34] Operation: 68/2=34
Exploring Operation: 33-23=10, Resulting Numbers: [2, 68, 10]
Generated Node #0,3: 44:[2, 68, 10] Operation: 33-23=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[2, 23, 35], Operations: ['68-33=35']
Exploring Operation: 2*23=46, Resulting Numbers: [35, 46]
Generated Node #0,0,0: 44:[35, 46] Operation: 2*23=46
Exploring Operation: 23-2=21, Resulting Numbers: [35, 21]
Generated Node #0,0,1: 44:[35, 21] Operation: 23-2=21
Exploring Operation: 2+35=37, Resulting Numbers: [23, 37]
Generated Node #0,0,2: 44:[23, 37] Operation: 2+35=37
Exploring Operation: 35-23=12, Resulting Numbers: [2, 12]
Generated Node #0,0,3: 44:[2, 12] Operation: 35-23=12
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 44:[2, 12], Operations: ['68-33=35', '35-23=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 44:[23, 37], Operations: ['68-33=35', '2+35=37']
Exploring Operation: 23*37=851, Resulting Numbers: [851]
851,44 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 23+37=60, Resulting Numbers: [60]
60,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 44:[35, 21], Operations: ['68-33=35', '23-2=21']
Exploring Operation: 35*21=735, Resulting Numbers: [735]
735,44 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 35+21=56, Resulting Numbers: [56]
56,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[35, 46], Operations: ['68-33=35', '2*23=46']
Exploring Operation: 35*46=1610, Resulting Numbers: [1610]
1610,44 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,44 unequal: No Solution
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[33, 2, 45], Operations: ['68-23=45']
Exploring Operation: 45-2=43, Resulting Numbers: [33, 43]
Generated Node #0,1,0: 44:[33, 43] Operation: 45-2=43
Exploring Operation: 33-2=31, Resulting Numbers: [45, 31]
Generated Node #0,1,1: 44:[45, 31] Operation: 33-2=31
Exploring Operation: 45-33=12, Resulting Numbers: [2, 12]
Generated Node #0,1,2: 44:[2, 12] Operation: 45-33=12
Exploring Operation: 33+2=35, Resulting Numbers: [45, 35]
Generated Node #0,1,3: 44:[45, 35] Operation: 33+2=35
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 44:[2, 12], Operations: ['68-23=45', '45-33=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 44:[45, 31], Operations: ['68-23=45', '33-2=31']
Exploring Operation: 45+31=76, Resulting Numbers: [76]
76,44 unequal: No Solution
Exploring Operation: 45*31=1395, Resulting Numbers: [1395]
1395,44 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 44:[45, 35], Operations: ['68-23=45', '33+2=35']
Exploring Operation: 45*35=1575, Resulting Numbers: [1575]
1575,44 unequal: No Solution
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 45+35=80, Resulting Numbers: [80]
80,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[33, 43], Operations: ['68-23=45', '45-2=43']
Exploring Operation: 33*43=1419, Resulting Numbers: [1419]
1419,44 unequal: No Solution
Exploring Operation: 33+43=76, Resulting Numbers: [76]
76,44 unequal: No Solution
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[33, 23, 34], Operations: ['68/2=34']
Exploring Operation: 34-33=1, Resulting Numbers: [23, 1]
Generated Node #0,2,0: 44:[23, 1] Operation: 34-33=1
Exploring Operation: 33-23=10, Resulting Numbers: [34, 10]
Generated Node #0,2,1: 44:[34, 10] Operation: 33-23=10
Exploring Operation: 33+23=56, Resulting Numbers: [34, 56]
Generated Node #0,2,2: 44:[34, 56] Operation: 33+23=56
Exploring Operation: 34-23=11, Resulting Numbers: [33, 11]
Generated Node #0,2,3: 44:[33, 11] Operation: 34-23=11
Moving to Node #0,2,0
Current State: 44:[23, 1], Operations: ['68/2=34', '34-33=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[33, 11], Operations: ['68/2=34', '34-23=11']
Exploring Operation: 33*11=363, Resulting Numbers: [363]
363,44 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[33, 2, 23, 68], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [33, 23, 34]
Generated Node #0,2: 44:[33, 23, 34] Operation: 68/2=34
Moving to Node #0,2
Current State: 44:[33, 23, 34], Operations: ['68/2=34']
Exploring Operation: 34-23=11, Resulting Numbers: [33, 11]
Generated Node #0,2,3: 44:[33, 11] Operation: 34-23=11
Moving to Node #0,2,3
Current State: 44:[33, 11], Operations: ['68/2=34', '34-23=11']
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 | hs_4 | mult_heuristic |
[
76,
78,
71,
5
] | 74 | [
"78-76=2",
"71+5=76",
"76-2=74"
] | Current State: 74:[76, 78, 71, 5], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [71, 5, 2]
Generated Node #2: [71, 5, 2] from Operation: 78-76=2
Current State: 74:[71, 5, 2], Operations: ['78-76=2']
Exploring Operation: 71+5=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 71+5=76
Current State: 74:[2, 76], Operations: ['78-76=2', '71+5=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[76, 78, 71, 5], Operations: []
Exploring Operation: 71+5=76, Resulting Numbers: [76, 78, 76]
Generated Node #0,0: 74:[76, 78, 76] Operation: 71+5=76
Exploring Operation: 78-76=2, Resulting Numbers: [71, 5, 2]
Generated Node #0,1: 74:[71, 5, 2] Operation: 78-76=2
Exploring Operation: 78-5=73, Resulting Numbers: [76, 71, 73]
Generated Node #0,2: 74:[76, 71, 73] Operation: 78-5=73
Exploring Operation: 76-71=5, Resulting Numbers: [78, 5, 5]
Generated Node #0,3: 74:[78, 5, 5] Operation: 76-71=5
Exploring Operation: 76-5=71, Resulting Numbers: [78, 71, 71]
Generated Node #0,4: 74:[78, 71, 71] Operation: 76-5=71
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[71, 5, 2], Operations: ['78-76=2']
Exploring Operation: 71+2=73, Resulting Numbers: [5, 73]
Generated Node #0,1,0: 74:[5, 73] Operation: 71+2=73
Exploring Operation: 71-2=69, Resulting Numbers: [5, 69]
Generated Node #0,1,1: 74:[5, 69] Operation: 71-2=69
Exploring Operation: 5-2=3, Resulting Numbers: [71, 3]
Generated Node #0,1,2: 74:[71, 3] Operation: 5-2=3
Exploring Operation: 71+5=76, Resulting Numbers: [2, 76]
Generated Node #0,1,3: 74:[2, 76] Operation: 71+5=76
Exploring Operation: 71-5=66, Resulting Numbers: [2, 66]
Generated Node #0,1,4: 74:[2, 66] Operation: 71-5=66
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 74:[2, 76], Operations: ['78-76=2', '71+5=76']
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,74 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[76, 78, 71, 5], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [71, 5, 2]
Generated Node #0,1: 74:[71, 5, 2] Operation: 78-76=2
Moving to Node #0,1
Current State: 74:[71, 5, 2], Operations: ['78-76=2']
Exploring Operation: 71+5=76, Resulting Numbers: [2, 76]
Generated Node #0,1,3: 74:[2, 76] Operation: 71+5=76
Moving to Node #0,1,3
Current State: 74:[2, 76], Operations: ['78-76=2', '71+5=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
20,
82,
2,
26
] | 44 | [
"82-20=62",
"26+62=88",
"88/2=44"
] | Current State: 44:[20, 82, 2, 26], Operations: []
Exploring Operation: 82-20=62, Resulting Numbers: [2, 26, 62]
Generated Node #2: [2, 26, 62] from Operation: 82-20=62
Current State: 44:[2, 26, 62], Operations: ['82-20=62']
Exploring Operation: 26+62=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 26+62=88
Current State: 44:[2, 88], Operations: ['82-20=62', '26+62=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[20, 82, 2, 26], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [20, 26, 41]
Generated Node #0,0: 44:[20, 26, 41] Operation: 82/2=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[20, 26, 41], Operations: ['82/2=41']
Exploring Operation: 20+26=46, Resulting Numbers: [41, 46]
Generated Node #0,0,0: 44:[41, 46] Operation: 20+26=46
Moving to Node #0,0,0
Current State: 44:[41, 46], Operations: ['82/2=41', '20+26=46']
Exploring Operation: 46-41=5, Resulting Numbers: [5]
5,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
69,
86,
24,
6
] | 35 | [
"86-69=17",
"24-6=18",
"17+18=35"
] | Current State: 35:[69, 86, 24, 6], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [24, 6, 17]
Generated Node #2: [24, 6, 17] from Operation: 86-69=17
Current State: 35:[24, 6, 17], Operations: ['86-69=17']
Exploring Operation: 24-6=18, Resulting Numbers: [17, 18]
Generated Node #3: [17, 18] from Operation: 24-6=18
Current State: 35:[17, 18], Operations: ['86-69=17', '24-6=18']
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[69, 86, 24, 6], Operations: []
Exploring Operation: 86-24=62, Resulting Numbers: [69, 6, 62]
Generated Node #0,0: 35:[69, 6, 62] Operation: 86-24=62
Exploring Operation: 86-69=17, Resulting Numbers: [24, 6, 17]
Generated Node #0,1: 35:[24, 6, 17] Operation: 86-69=17
Exploring Operation: 69-24=45, Resulting Numbers: [86, 6, 45]
Generated Node #0,2: 35:[86, 6, 45] Operation: 69-24=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[24, 6, 17], Operations: ['86-69=17']
Exploring Operation: 24/6=4, Resulting Numbers: [17, 4]
Generated Node #0,1,0: 35:[17, 4] Operation: 24/6=4
Exploring Operation: 24-17=7, Resulting Numbers: [6, 7]
Generated Node #0,1,1: 35:[6, 7] Operation: 24-17=7
Exploring Operation: 24+17=41, Resulting Numbers: [6, 41]
Generated Node #0,1,2: 35:[6, 41] Operation: 24+17=41
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[6, 7], Operations: ['86-69=17', '24-17=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 35:[6, 41], Operations: ['86-69=17', '24+17=41']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[69, 86, 24, 6], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [24, 6, 17]
Generated Node #0,1: 35:[24, 6, 17] Operation: 86-69=17
Moving to Node #0,1
Current State: 35:[24, 6, 17], Operations: ['86-69=17']
Exploring Operation: 24+17=41, Resulting Numbers: [6, 41]
Generated Node #0,1,2: 35:[6, 41] Operation: 24+17=41
Moving to Node #0,1,2
Current State: 35:[6, 41], Operations: ['86-69=17', '24+17=41']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
42,
35,
73,
31
] | 97 | [
"42-35=7",
"73+31=104",
"104-7=97"
] | Current State: 97:[42, 35, 73, 31], Operations: []
Exploring Operation: 42-35=7, Resulting Numbers: [73, 31, 7]
Generated Node #2: [73, 31, 7] from Operation: 42-35=7
Current State: 97:[73, 31, 7], Operations: ['42-35=7']
Exploring Operation: 73+31=104, Resulting Numbers: [7, 104]
Generated Node #3: [7, 104] from Operation: 73+31=104
Current State: 97:[7, 104], Operations: ['42-35=7', '73+31=104']
Exploring Operation: 104-7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[42, 35, 73, 31], Operations: []
Exploring Operation: 42+35=77, Resulting Numbers: [73, 31, 77]
Generated Node #0,0: 97:[73, 31, 77] Operation: 42+35=77
Exploring Operation: 42+31=73, Resulting Numbers: [35, 73, 73]
Generated Node #0,1: 97:[35, 73, 73] Operation: 42+31=73
Moving to Node #0,0
Current State: 97:[73, 31, 77], Operations: ['42+35=77']
Exploring Operation: 31+77=108, Resulting Numbers: [73, 108]
Generated Node #0,0,0: 97:[73, 108] Operation: 31+77=108
Exploring Operation: 73+31=104, Resulting Numbers: [77, 104]
Generated Node #0,0,1: 97:[77, 104] Operation: 73+31=104
Moving to Node #0,1
Current State: 97:[35, 73, 73], Operations: ['42+31=73']
Exploring Operation: 35+73=108, Resulting Numbers: [73, 108]
Generated Node #0,1,0: 97:[73, 108] Operation: 35+73=108
Exploring Operation: 35+73=108, Resulting Numbers: [73, 108]
Generated Node #0,1,1: 97:[73, 108] Operation: 35+73=108
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[73, 108], Operations: ['42+31=73', '35+73=108']
Exploring Operation: 108-73=35, Resulting Numbers: [35]
35,97 unequal: No Solution
Exploring Operation: 73+108=181, Resulting Numbers: [181]
181,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[73, 108], Operations: ['42+31=73', '35+73=108']
Exploring Operation: 108-73=35, Resulting Numbers: [35]
35,97 unequal: No Solution
Exploring Operation: 73+108=181, Resulting Numbers: [181]
181,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 97:[77, 104], Operations: ['42+35=77', '73+31=104']
Exploring Operation: 104-77=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 77+104=181, Resulting Numbers: [181]
181,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[73, 108], Operations: ['42+35=77', '31+77=108']
Exploring Operation: 108-73=35, Resulting Numbers: [35]
35,97 unequal: No Solution
Exploring Operation: 73+108=181, Resulting Numbers: [181]
181,97 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
14,
18,
84,
52
] | 40 | [
"84/14=6",
"52-18=34",
"6+34=40"
] | Current State: 40:[14, 18, 84, 52], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [18, 52, 6]
Generated Node #2: [18, 52, 6] from Operation: 84/14=6
Current State: 40:[18, 52, 6], Operations: ['84/14=6']
Exploring Operation: 52-18=34, Resulting Numbers: [6, 34]
Generated Node #3: [6, 34] from Operation: 52-18=34
Current State: 40:[6, 34], Operations: ['84/14=6', '52-18=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[14, 18, 84, 52], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [18, 52, 6]
Generated Node #0,0: 40:[18, 52, 6] Operation: 84/14=6
Exploring Operation: 84-52=32, Resulting Numbers: [14, 18, 32]
Generated Node #0,1: 40:[14, 18, 32] Operation: 84-52=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[14, 18, 32], Operations: ['84-52=32']
Exploring Operation: 32-14=18, Resulting Numbers: [18, 18]
Generated Node #0,1,0: 40:[18, 18] Operation: 32-14=18
Exploring Operation: 18-14=4, Resulting Numbers: [32, 4]
Generated Node #0,1,1: 40:[32, 4] Operation: 18-14=4
Moving to Node #0,1,0
Current State: 40:[18, 18], Operations: ['84-52=32', '32-14=18']
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[32, 4], Operations: ['84-52=32', '18-14=4']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[18, 52, 6], Operations: ['84/14=6']
Exploring Operation: 52-18=34, Resulting Numbers: [6, 34]
Generated Node #0,0,0: 40:[6, 34] Operation: 52-18=34
Exploring Operation: 52-6=46, Resulting Numbers: [18, 46]
Generated Node #0,0,1: 40:[18, 46] Operation: 52-6=46
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[6, 34], Operations: ['84/14=6', '52-18=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[14, 18, 84, 52], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [18, 52, 6]
Generated Node #0,0: 40:[18, 52, 6] Operation: 84/14=6
Moving to Node #0,0
Current State: 40:[18, 52, 6], Operations: ['84/14=6']
Exploring Operation: 52-18=34, Resulting Numbers: [6, 34]
Generated Node #0,0,0: 40:[6, 34] Operation: 52-18=34
Moving to Node #0,0,0
Current State: 40:[6, 34], Operations: ['84/14=6', '52-18=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
71,
3,
63,
94
] | 56 | [
"71*3=213",
"63+94=157",
"213-157=56"
] | Current State: 56:[71, 3, 63, 94], Operations: []
Exploring Operation: 71*3=213, Resulting Numbers: [63, 94, 213]
Generated Node #2: [63, 94, 213] from Operation: 71*3=213
Current State: 56:[63, 94, 213], Operations: ['71*3=213']
Exploring Operation: 63+94=157, Resulting Numbers: [213, 157]
Generated Node #3: [213, 157] from Operation: 63+94=157
Current State: 56:[213, 157], Operations: ['71*3=213', '63+94=157']
Exploring Operation: 213-157=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[71, 3, 63, 94], Operations: []
Exploring Operation: 94-71=23, Resulting Numbers: [3, 63, 23]
Generated Node #0,0: 56:[3, 63, 23] Operation: 94-71=23
Exploring Operation: 94-63=31, Resulting Numbers: [71, 3, 31]
Generated Node #0,1: 56:[71, 3, 31] Operation: 94-63=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[3, 63, 23], Operations: ['94-71=23']
Exploring Operation: 63-3=60, Resulting Numbers: [23, 60]
Generated Node #0,0,0: 56:[23, 60] Operation: 63-3=60
Exploring Operation: 3+23=26, Resulting Numbers: [63, 26]
Generated Node #0,0,1: 56:[63, 26] Operation: 3+23=26
Moving to Node #0,0,0
Current State: 56:[23, 60], Operations: ['94-71=23', '63-3=60']
Exploring Operation: 23+60=83, Resulting Numbers: [83]
83,56 unequal: No Solution
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[63, 26], Operations: ['94-71=23', '3+23=26']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,56 unequal: No Solution
No 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: 56:[71, 3, 31], Operations: ['94-63=31']
Exploring Operation: 71-3=68, Resulting Numbers: [31, 68]
Generated Node #0,1,0: 56:[31, 68] Operation: 71-3=68
Exploring Operation: 71-31=40, Resulting Numbers: [3, 40]
Generated Node #0,1,1: 56:[3, 40] Operation: 71-31=40
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[3, 40], Operations: ['94-63=31', '71-31=40']
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,56 unequal: No Solution
No 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: 56:[31, 68], Operations: ['94-63=31', '71-3=68']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,56 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 |
[
40,
93,
50,
67
] | 64 | [
"93-40=53",
"50+67=117",
"117-53=64"
] | Current State: 64:[40, 93, 50, 67], Operations: []
Exploring Operation: 93-40=53, Resulting Numbers: [50, 67, 53]
Generated Node #2: [50, 67, 53] from Operation: 93-40=53
Current State: 64:[50, 67, 53], Operations: ['93-40=53']
Exploring Operation: 50+67=117, Resulting Numbers: [53, 117]
Generated Node #3: [53, 117] from Operation: 50+67=117
Current State: 64:[53, 117], Operations: ['93-40=53', '50+67=117']
Exploring Operation: 117-53=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[40, 93, 50, 67], Operations: []
Exploring Operation: 67-50=17, Resulting Numbers: [40, 93, 17]
Generated Node #0,0: 64:[40, 93, 17] Operation: 67-50=17
Exploring Operation: 93-50=43, Resulting Numbers: [40, 67, 43]
Generated Node #0,1: 64:[40, 67, 43] Operation: 93-50=43
Exploring Operation: 93-40=53, Resulting Numbers: [50, 67, 53]
Generated Node #0,2: 64:[50, 67, 53] Operation: 93-40=53
Exploring Operation: 93-67=26, Resulting Numbers: [40, 50, 26]
Generated Node #0,3: 64:[40, 50, 26] Operation: 93-67=26
Exploring Operation: 50-40=10, Resulting Numbers: [93, 67, 10]
Generated Node #0,4: 64:[93, 67, 10] Operation: 50-40=10
Moving to Node #0,1
Current State: 64:[40, 67, 43], Operations: ['93-50=43']
Exploring Operation: 40+67=107, Resulting Numbers: [43, 107]
Generated Node #0,1,0: 64:[43, 107] Operation: 40+67=107
Exploring Operation: 43-40=3, Resulting Numbers: [67, 3]
Generated Node #0,1,1: 64:[67, 3] Operation: 43-40=3
Exploring Operation: 67-43=24, Resulting Numbers: [40, 24]
Generated Node #0,1,2: 64:[40, 24] Operation: 67-43=24
Exploring Operation: 40+43=83, Resulting Numbers: [67, 83]
Generated Node #0,1,3: 64:[67, 83] Operation: 40+43=83
Exploring Operation: 67-40=27, Resulting Numbers: [43, 27]
Generated Node #0,1,4: 64:[43, 27] Operation: 67-40=27
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[67, 3], Operations: ['93-50=43', '43-40=3']
Exploring Operation: 67*3=201, Resulting Numbers: [201]
201,64 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[40, 93, 50, 67], Operations: []
Exploring Operation: 93-50=43, Resulting Numbers: [40, 67, 43]
Generated Node #0,1: 64:[40, 67, 43] Operation: 93-50=43
Moving to Node #0,1
Current State: 64:[40, 67, 43], Operations: ['93-50=43']
Exploring Operation: 43-40=3, Resulting Numbers: [67, 3]
Generated Node #0,1,1: 64:[67, 3] Operation: 43-40=3
Moving to Node #0,1,1
Current State: 64:[67, 3], Operations: ['93-50=43', '43-40=3']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
21,
38,
12,
63
] | 16 | [
"21+38=59",
"12+63=75",
"75-59=16"
] | Current State: 16:[21, 38, 12, 63], Operations: []
Exploring Operation: 21+38=59, Resulting Numbers: [12, 63, 59]
Generated Node #2: [12, 63, 59] from Operation: 21+38=59
Current State: 16:[12, 63, 59], Operations: ['21+38=59']
Exploring Operation: 12+63=75, Resulting Numbers: [59, 75]
Generated Node #3: [59, 75] from Operation: 12+63=75
Current State: 16:[59, 75], Operations: ['21+38=59', '12+63=75']
Exploring Operation: 75-59=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[21, 38, 12, 63], Operations: []
Exploring Operation: 63-38=25, Resulting Numbers: [21, 12, 25]
Generated Node #0,0: 16:[21, 12, 25] Operation: 63-38=25
Moving to Node #0,0
Current State: 16:[21, 12, 25], Operations: ['63-38=25']
Exploring Operation: 25-21=4, Resulting Numbers: [12, 4]
Generated Node #0,0,0: 16:[12, 4] Operation: 25-21=4
Moving to Node #0,0,0
Current State: 16:[12, 4], Operations: ['63-38=25', '25-21=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[21, 38, 12, 63], Operations: []
Exploring Operation: 63-38=25, Resulting Numbers: [21, 12, 25]
Generated Node #0,0: 16:[21, 12, 25] Operation: 63-38=25
Moving to Node #0,0
Current State: 16:[21, 12, 25], Operations: ['63-38=25']
Exploring Operation: 25-21=4, Resulting Numbers: [12, 4]
Generated Node #0,0,0: 16:[12, 4] Operation: 25-21=4
Moving to Node #0,0,0
Current State: 16:[12, 4], Operations: ['63-38=25', '25-21=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
27,
93,
8,
70
] | 12 | [
"93-27=66",
"8+70=78",
"78-66=12"
] | Current State: 12:[27, 93, 8, 70], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [8, 70, 66]
Generated Node #2: [8, 70, 66] from Operation: 93-27=66
Current State: 12:[8, 70, 66], Operations: ['93-27=66']
Exploring Operation: 8+70=78, Resulting Numbers: [66, 78]
Generated Node #3: [66, 78] from Operation: 8+70=78
Current State: 12:[66, 78], Operations: ['93-27=66', '8+70=78']
Exploring Operation: 78-66=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[27, 93, 8, 70], Operations: []
Exploring Operation: 70-27=43, Resulting Numbers: [93, 8, 43]
Generated Node #0,0: 12:[93, 8, 43] Operation: 70-27=43
Exploring Operation: 93-70=23, Resulting Numbers: [27, 8, 23]
Generated Node #0,1: 12:[27, 8, 23] Operation: 93-70=23
Exploring Operation: 27-8=19, Resulting Numbers: [93, 70, 19]
Generated Node #0,2: 12:[93, 70, 19] Operation: 27-8=19
Exploring Operation: 93-27=66, Resulting Numbers: [8, 70, 66]
Generated Node #0,3: 12:[8, 70, 66] Operation: 93-27=66
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[27, 8, 23], Operations: ['93-70=23']
Exploring Operation: 23-8=15, Resulting Numbers: [27, 15]
Generated Node #0,1,0: 12:[27, 15] Operation: 23-8=15
Exploring Operation: 27-23=4, Resulting Numbers: [8, 4]
Generated Node #0,1,1: 12:[8, 4] Operation: 27-23=4
Exploring Operation: 27-8=19, Resulting Numbers: [23, 19]
Generated Node #0,1,2: 12:[23, 19] Operation: 27-8=19
Exploring Operation: 27+8=35, Resulting Numbers: [23, 35]
Generated Node #0,1,3: 12:[23, 35] Operation: 27+8=35
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 12:[8, 4], Operations: ['93-70=23', '27-23=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,12 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[27, 93, 8, 70], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [27, 8, 23]
Generated Node #0,1: 12:[27, 8, 23] Operation: 93-70=23
Moving to Node #0,1
Current State: 12:[27, 8, 23], Operations: ['93-70=23']
Exploring Operation: 27-23=4, Resulting Numbers: [8, 4]
Generated Node #0,1,1: 12:[8, 4] Operation: 27-23=4
Moving to Node #0,1,1
Current State: 12:[8, 4], Operations: ['93-70=23', '27-23=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
66,
19,
3,
99
] | 30 | [
"99-66=33",
"33/3=11",
"19+11=30"
] | Current State: 30:[66, 19, 3, 99], Operations: []
Exploring Operation: 99-66=33, Resulting Numbers: [19, 3, 33]
Generated Node #2: [19, 3, 33] from Operation: 99-66=33
Current State: 30:[19, 3, 33], Operations: ['99-66=33']
Exploring Operation: 33/3=11, Resulting Numbers: [19, 11]
Generated Node #3: [19, 11] from Operation: 33/3=11
Current State: 30:[19, 11], Operations: ['99-66=33', '33/3=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[66, 19, 3, 99], Operations: []
Exploring Operation: 99-66=33, Resulting Numbers: [19, 3, 33]
Generated Node #0,0: 30:[19, 3, 33] Operation: 99-66=33
Moving to Node #0,0
Current State: 30:[19, 3, 33], Operations: ['99-66=33']
Exploring Operation: 33-19=14, Resulting Numbers: [3, 14]
Generated Node #0,0,0: 30:[3, 14] Operation: 33-19=14
Moving to Node #0,0,0
Current State: 30:[3, 14], Operations: ['99-66=33', '33-19=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,30 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
99,
35,
62,
53
] | 46 | [
"62-53=9",
"99/9=11",
"35+11=46"
] | Current State: 46:[99, 35, 62, 53], Operations: []
Exploring Operation: 62-53=9, Resulting Numbers: [99, 35, 9]
Generated Node #2: [99, 35, 9] from Operation: 62-53=9
Current State: 46:[99, 35, 9], Operations: ['62-53=9']
Exploring Operation: 99/9=11, Resulting Numbers: [35, 11]
Generated Node #3: [35, 11] from Operation: 99/9=11
Current State: 46:[35, 11], Operations: ['62-53=9', '99/9=11']
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[99, 35, 62, 53], Operations: []
Exploring Operation: 99-62=37, Resulting Numbers: [35, 53, 37]
Generated Node #0,0: 46:[35, 53, 37] Operation: 99-62=37
Moving to Node #0,0
Current State: 46:[35, 53, 37], Operations: ['99-62=37']
Exploring Operation: 37-35=2, Resulting Numbers: [53, 2]
Generated Node #0,0,0: 46:[53, 2] Operation: 37-35=2
Moving to Node #0,0,0
Current State: 46:[53, 2], Operations: ['99-62=37', '37-35=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,46 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
69,
21,
12
] | 13 | [
"66+69=135",
"21+135=156",
"156/12=13"
] | Current State: 13:[66, 69, 21, 12], Operations: []
Exploring Operation: 66+69=135, Resulting Numbers: [21, 12, 135]
Generated Node #2: [21, 12, 135] from Operation: 66+69=135
Current State: 13:[21, 12, 135], Operations: ['66+69=135']
Exploring Operation: 21+135=156, Resulting Numbers: [12, 156]
Generated Node #3: [12, 156] from Operation: 21+135=156
Current State: 13:[12, 156], Operations: ['66+69=135', '21+135=156']
Exploring Operation: 156/12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[66, 69, 21, 12], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [21, 12, 3]
Generated Node #0,0: 13:[21, 12, 3] Operation: 69-66=3
Exploring Operation: 66-21=45, Resulting Numbers: [69, 12, 45]
Generated Node #0,1: 13:[69, 12, 45] Operation: 66-21=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[21, 12, 3], Operations: ['69-66=3']
Exploring Operation: 21/3=7, Resulting Numbers: [12, 7]
Generated Node #0,0,0: 13:[12, 7] Operation: 21/3=7
Exploring Operation: 21-3=18, Resulting Numbers: [12, 18]
Generated Node #0,0,1: 13:[12, 18] Operation: 21-3=18
Moving to Node #0,0,1
Current State: 13:[12, 18], Operations: ['69-66=3', '21-3=18']
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[12, 7], Operations: ['69-66=3', '21/3=7']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[69, 12, 45], Operations: ['66-21=45']
Exploring Operation: 69-12=57, Resulting Numbers: [45, 57]
Generated Node #0,1,0: 13:[45, 57] Operation: 69-12=57
Exploring Operation: 69-45=24, Resulting Numbers: [12, 24]
Generated Node #0,1,1: 13:[12, 24] Operation: 69-45=24
Moving to Node #0,1,1
Current State: 13:[12, 24], Operations: ['66-21=45', '69-45=24']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[45, 57], Operations: ['66-21=45', '69-12=57']
Exploring Operation: 57-45=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 45+57=102, Resulting Numbers: [102]
102,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
78,
20,
61,
19
] | 74 | [
"61+19=80",
"80/20=4",
"78-4=74"
] | Current State: 74:[78, 20, 61, 19], Operations: []
Exploring Operation: 61+19=80, Resulting Numbers: [78, 20, 80]
Generated Node #2: [78, 20, 80] from Operation: 61+19=80
Current State: 74:[78, 20, 80], Operations: ['61+19=80']
Exploring Operation: 80/20=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 80/20=4
Current State: 74:[78, 4], Operations: ['61+19=80', '80/20=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[78, 20, 61, 19], Operations: []
Exploring Operation: 20-19=1, Resulting Numbers: [78, 61, 1]
Generated Node #0,0: 74:[78, 61, 1] Operation: 20-19=1
Exploring Operation: 20+19=39, Resulting Numbers: [78, 61, 39]
Generated Node #0,1: 74:[78, 61, 39] Operation: 20+19=39
Moving to Node #0,0
Current State: 74:[78, 61, 1], Operations: ['20-19=1']
Exploring Operation: 78-61=17, Resulting Numbers: [1, 17]
Generated Node #0,0,0: 74:[1, 17] Operation: 78-61=17
Exploring Operation: 78-1=77, Resulting Numbers: [61, 77]
Generated Node #0,0,1: 74:[61, 77] Operation: 78-1=77
Moving to Node #0,1
Current State: 74:[78, 61, 39], Operations: ['20+19=39']
Exploring Operation: 78-39=39, Resulting Numbers: [61, 39]
Generated Node #0,1,0: 74:[61, 39] Operation: 78-39=39
Exploring Operation: 78/39=2, Resulting Numbers: [61, 2]
Generated Node #0,1,1: 74:[61, 2] Operation: 78/39=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[61, 2], Operations: ['20+19=39', '78/39=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[61, 39], Operations: ['20+19=39', '78-39=39']
Exploring Operation: 61+39=100, Resulting Numbers: [100]
100,74 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,74 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: 74:[1, 17], Operations: ['20-19=1', '78-61=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,74 unequal: No Solution
Moving to Node #0,0,1
Current State: 74:[61, 77], Operations: ['20-19=1', '78-1=77']
Exploring Operation: 61+77=138, Resulting Numbers: [138]
138,74 unequal: No Solution
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,74 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
1,
94,
4,
17
] | 27 | [
"1+94=95",
"4*17=68",
"95-68=27"
] | Current State: 27:[1, 94, 4, 17], Operations: []
Exploring Operation: 1+94=95, Resulting Numbers: [4, 17, 95]
Generated Node #2: [4, 17, 95] from Operation: 1+94=95
Current State: 27:[4, 17, 95], Operations: ['1+94=95']
Exploring Operation: 4*17=68, Resulting Numbers: [95, 68]
Generated Node #3: [95, 68] from Operation: 4*17=68
Current State: 27:[95, 68], Operations: ['1+94=95', '4*17=68']
Exploring Operation: 95-68=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[1, 94, 4, 17], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [1, 4, 77]
Generated Node #0,0: 27:[1, 4, 77] Operation: 94-17=77
Exploring Operation: 17-4=13, Resulting Numbers: [1, 94, 13]
Generated Node #0,1: 27:[1, 94, 13] Operation: 17-4=13
Exploring Operation: 94-4=90, Resulting Numbers: [1, 17, 90]
Generated Node #0,2: 27:[1, 17, 90] Operation: 94-4=90
Exploring Operation: 94-1=93, Resulting Numbers: [4, 17, 93]
Generated Node #0,3: 27:[4, 17, 93] Operation: 94-1=93
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[1, 4, 77], Operations: ['94-17=77']
Exploring Operation: 77-1=76, Resulting Numbers: [4, 76]
Generated Node #0,0,0: 27:[4, 76] Operation: 77-1=76
Exploring Operation: 4-1=3, Resulting Numbers: [77, 3]
Generated Node #0,0,1: 27:[77, 3] Operation: 4-1=3
Exploring Operation: 77-4=73, Resulting Numbers: [1, 73]
Generated Node #0,0,2: 27:[1, 73] Operation: 77-4=73
Exploring Operation: 1*4=4, Resulting Numbers: [77, 4]
Generated Node #0,0,3: 27:[77, 4] Operation: 1*4=4
Moving to Node #0,0,2
Current State: 27:[1, 73], Operations: ['94-17=77', '77-4=73']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 1*73=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 1+73=74, Resulting Numbers: [74]
74,27 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[77, 3], Operations: ['94-17=77', '4-1=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,27 unequal: No Solution
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[4, 76], Operations: ['94-17=77', '77-1=76']
Exploring Operation: 4+76=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 4*76=304, Resulting Numbers: [304]
304,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[77, 4], Operations: ['94-17=77', '1*4=4']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 77*4=308, Resulting Numbers: [308]
308,27 unequal: No Solution
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[1, 94, 13], Operations: ['17-4=13']
Exploring Operation: 13-1=12, Resulting Numbers: [94, 12]
Generated Node #0,1,0: 27:[94, 12] Operation: 13-1=12
Exploring Operation: 1*94=94, Resulting Numbers: [13, 94]
Generated Node #0,1,1: 27:[13, 94] Operation: 1*94=94
Exploring Operation: 94-13=81, Resulting Numbers: [1, 81]
Generated Node #0,1,2: 27:[1, 81] Operation: 94-13=81
Exploring Operation: 94-1=93, Resulting Numbers: [13, 93]
Generated Node #0,1,3: 27:[13, 93] Operation: 94-1=93
Moving to Node #0,1,2
Current State: 27:[1, 81], Operations: ['17-4=13', '94-13=81']
Exploring Operation: 1+81=82, Resulting Numbers: [82]
82,27 unequal: No Solution
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Exploring Operation: 1*81=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[13, 93], Operations: ['17-4=13', '94-1=93']
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Exploring Operation: 13+93=106, Resulting Numbers: [106]
106,27 unequal: No Solution
Exploring Operation: 13*93=1209, Resulting Numbers: [1209]
1209,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[94, 12], Operations: ['17-4=13', '13-1=12']
Exploring Operation: 94*12=1128, Resulting Numbers: [1128]
1128,27 unequal: No Solution
Exploring Operation: 94+12=106, Resulting Numbers: [106]
106,27 unequal: No Solution
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[13, 94], Operations: ['17-4=13', '1*94=94']
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Exploring Operation: 13*94=1222, Resulting Numbers: [1222]
1222,27 unequal: No Solution
Exploring Operation: 13+94=107, Resulting Numbers: [107]
107,27 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 #0,2
Current State: 27:[1, 17, 90], Operations: ['94-4=90']
Exploring Operation: 17-1=16, Resulting Numbers: [90, 16]
Generated Node #0,2,0: 27:[90, 16] Operation: 17-1=16
Exploring Operation: 1*17=17, Resulting Numbers: [90, 17]
Generated Node #0,2,1: 27:[90, 17] Operation: 1*17=17
Exploring Operation: 90-17=73, Resulting Numbers: [1, 73]
Generated Node #0,2,2: 27:[1, 73] Operation: 90-17=73
Exploring Operation: 90-1=89, Resulting Numbers: [17, 89]
Generated Node #0,2,3: 27:[17, 89] Operation: 90-1=89
Moving to Node #0,2,2
Current State: 27:[1, 73], Operations: ['94-4=90', '90-17=73']
Exploring Operation: 1*73=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 1+73=74, Resulting Numbers: [74]
74,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[17, 89], Operations: ['94-4=90', '90-1=89']
Exploring Operation: 17+89=106, Resulting Numbers: [106]
106,27 unequal: No Solution
Exploring Operation: 17*89=1513, Resulting Numbers: [1513]
1513,27 unequal: No Solution
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[90, 16], Operations: ['94-4=90', '17-1=16']
Exploring Operation: 90*16=1440, Resulting Numbers: [1440]
1440,27 unequal: No Solution
Exploring Operation: 90+16=106, Resulting Numbers: [106]
106,27 unequal: No Solution
Exploring Operation: 90-16=74, Resulting Numbers: [74]
74,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[90, 17], Operations: ['94-4=90', '1*17=17']
Exploring Operation: 90*17=1530, Resulting Numbers: [1530]
1530,27 unequal: No Solution
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 90+17=107, Resulting Numbers: [107]
107,27 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 #0,3
Current State: 27:[4, 17, 93], Operations: ['94-1=93']
Exploring Operation: 17-4=13, Resulting Numbers: [93, 13]
Generated Node #0,3,0: 27:[93, 13] Operation: 17-4=13
Exploring Operation: 4+17=21, Resulting Numbers: [93, 21]
Generated Node #0,3,1: 27:[93, 21] Operation: 4+17=21
Exploring Operation: 93-17=76, Resulting Numbers: [4, 76]
Generated Node #0,3,2: 27:[4, 76] Operation: 93-17=76
Exploring Operation: 93-4=89, Resulting Numbers: [17, 89]
Generated Node #0,3,3: 27:[17, 89] Operation: 93-4=89
Moving to Node #0,3,2
Current State: 27:[4, 76], Operations: ['94-1=93', '93-17=76']
Exploring Operation: 4*76=304, Resulting Numbers: [304]
304,27 unequal: No Solution
Exploring Operation: 4+76=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Moving to Node #0,3,3
Current State: 27:[17, 89], Operations: ['94-1=93', '93-4=89']
Exploring Operation: 17+89=106, Resulting Numbers: [106]
106,27 unequal: No Solution
Exploring Operation: 17*89=1513, Resulting Numbers: [1513]
1513,27 unequal: No Solution
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Moving to Node #0,3,0
Current State: 27:[93, 13], Operations: ['94-1=93', '17-4=13']
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,27 unequal: No Solution
Exploring Operation: 93+13=106, Resulting Numbers: [106]
106,27 unequal: No Solution
Exploring Operation: 93*13=1209, Resulting Numbers: [1209]
1209,27 unequal: No Solution
Moving to Node #0,3,1
Current State: 27:[93, 21], Operations: ['94-1=93', '4+17=21']
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 93*21=1953, Resulting Numbers: [1953]
1953,27 unequal: No Solution
Exploring Operation: 93+21=114, Resulting Numbers: [114]
114,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
2,
98,
15,
98
] | 68 | [
"98-15=83",
"2*83=166",
"166-98=68"
] | Current State: 68:[2, 98, 15, 98], Operations: []
Exploring Operation: 98-15=83, Resulting Numbers: [2, 83]
Generated Node #2: [2, 83] from Operation: 98-15=83
Current State: 68:[2, 83], Operations: ['98-15=83']
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,68 equal: Goal Reached
Exploring Operation: 166-98=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[2, 98, 15, 98], Operations: []
Exploring Operation: 98-98=0, Resulting Numbers: [2, 15, 0]
Generated Node #0,0: 68:[2, 15, 0] Operation: 98-98=0
Exploring Operation: 98/2=49, Resulting Numbers: [15, 98, 49]
Generated Node #0,1: 68:[15, 98, 49] Operation: 98/2=49
Exploring Operation: 98-15=83, Resulting Numbers: [2, 98, 83]
Generated Node #0,2: 68:[2, 98, 83] Operation: 98-15=83
Exploring Operation: 98-15=83, Resulting Numbers: [2, 98, 83]
Generated Node #0,3: 68:[2, 98, 83] Operation: 98-15=83
Exploring Operation: 98/98=1, Resulting Numbers: [2, 15, 1]
Generated Node #0,4: 68:[2, 15, 1] Operation: 98/98=1
Moving to Node #0,4
Current State: 68:[2, 15, 1], Operations: ['98/98=1']
Exploring Operation: 2+15=17, Resulting Numbers: [1, 17]
Generated Node #0,4,0: 68:[1, 17] Operation: 2+15=17
Exploring Operation: 2/1=2, Resulting Numbers: [15, 2]
Generated Node #0,4,1: 68:[15, 2] Operation: 2/1=2
Exploring Operation: 15+1=16, Resulting Numbers: [2, 16]
Generated Node #0,4,2: 68:[2, 16] Operation: 15+1=16
Exploring Operation: 2*1=2, Resulting Numbers: [15, 2]
Generated Node #0,4,3: 68:[15, 2] Operation: 2*1=2
Exploring Operation: 15*1=15, Resulting Numbers: [2, 15]
Generated Node #0,4,4: 68:[2, 15] Operation: 15*1=15
Moving to Node #0,0
Current State: 68:[2, 15, 0], Operations: ['98-98=0']
Exploring Operation: 15+0=15, Resulting Numbers: [2, 15]
Generated Node #0,0,0: 68:[2, 15] Operation: 15+0=15
Exploring Operation: 2+15=17, Resulting Numbers: [0, 17]
Generated Node #0,0,1: 68:[0, 17] Operation: 2+15=17
Exploring Operation: 2-0=2, Resulting Numbers: [15, 2]
Generated Node #0,0,2: 68:[15, 2] Operation: 2-0=2
Exploring Operation: 15*0=0, Resulting Numbers: [2, 0]
Generated Node #0,0,3: 68:[2, 0] Operation: 15*0=0
Exploring Operation: 2+0=2, Resulting Numbers: [15, 2]
Generated Node #0,0,4: 68:[15, 2] Operation: 2+0=2
Moving to Node #0,2
Current State: 68:[2, 98, 83], Operations: ['98-15=83']
Exploring Operation: 98-2=96, Resulting Numbers: [83, 96]
Generated Node #0,2,0: 68:[83, 96] Operation: 98-2=96
Exploring Operation: 2+98=100, Resulting Numbers: [83, 100]
Generated Node #0,2,1: 68:[83, 100] Operation: 2+98=100
Exploring Operation: 98/2=49, Resulting Numbers: [83, 49]
Generated Node #0,2,2: 68:[83, 49] Operation: 98/2=49
Exploring Operation: 98-83=15, Resulting Numbers: [2, 15]
Generated Node #0,2,3: 68:[2, 15] Operation: 98-83=15
Exploring Operation: 83-2=81, Resulting Numbers: [98, 81]
Generated Node #0,2,4: 68:[98, 81] Operation: 83-2=81
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 68:[2, 15], Operations: ['98-15=83', '98-83=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,68 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 #0,2,2
Current State: 68:[83, 49], Operations: ['98-15=83', '98/2=49']
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 83+49=132, Resulting Numbers: [132]
132,68 unequal: No Solution
Exploring Operation: 83*49=4067, Resulting Numbers: [4067]
4067,68 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 #0,2,0
Current State: 68:[83, 96], Operations: ['98-15=83', '98-2=96']
Exploring Operation: 83+96=179, Resulting Numbers: [179]
179,68 unequal: No Solution
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 83*96=7968, Resulting Numbers: [7968]
7968,68 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 #0,2,4
Current State: 68:[98, 81], Operations: ['98-15=83', '83-2=81']
Exploring Operation: 98+81=179, Resulting Numbers: [179]
179,68 unequal: No Solution
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 98*81=7938, Resulting Numbers: [7938]
7938,68 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 #0,2,1
Current State: 68:[83, 100], Operations: ['98-15=83', '2+98=100']
Exploring Operation: 100-83=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 83*100=8300, Resulting Numbers: [8300]
8300,68 unequal: No Solution
Exploring Operation: 83+100=183, Resulting Numbers: [183]
183,68 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: 68:[2, 98, 83], Operations: ['98-15=83']
Exploring Operation: 83-2=81, Resulting Numbers: [98, 81]
Generated Node #0,3,0: 68:[98, 81] Operation: 83-2=81
Exploring Operation: 2+98=100, Resulting Numbers: [83, 100]
Generated Node #0,3,1: 68:[83, 100] Operation: 2+98=100
Exploring Operation: 98-2=96, Resulting Numbers: [83, 96]
Generated Node #0,3,2: 68:[83, 96] Operation: 98-2=96
Exploring Operation: 98/2=49, Resulting Numbers: [83, 49]
Generated Node #0,3,3: 68:[83, 49] Operation: 98/2=49
Exploring Operation: 98-83=15, Resulting Numbers: [2, 15]
Generated Node #0,3,4: 68:[2, 15] Operation: 98-83=15
Moving to Node #0,1
Current State: 68:[15, 98, 49], Operations: ['98/2=49']
Exploring Operation: 49-15=34, Resulting Numbers: [98, 34]
Generated Node #0,1,0: 68:[98, 34] Operation: 49-15=34
Exploring Operation: 98-49=49, Resulting Numbers: [15, 49]
Generated Node #0,1,1: 68:[15, 49] Operation: 98-49=49
Exploring Operation: 98-15=83, Resulting Numbers: [49, 83]
Generated Node #0,1,2: 68:[49, 83] Operation: 98-15=83
Exploring Operation: 15+49=64, Resulting Numbers: [98, 64]
Generated Node #0,1,3: 68:[98, 64] Operation: 15+49=64
Exploring Operation: 98/49=2, Resulting Numbers: [15, 2]
Generated Node #0,1,4: 68:[15, 2] Operation: 98/49=2
Moving to Node #0,4,0
Current State: 68:[1, 17], Operations: ['98/98=1', '2+15=17']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,68 unequal: No Solution
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,68 unequal: No Solution
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Moving to Node #0,4,2
Current State: 68:[2, 16], Operations: ['98/98=1', '15+1=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,68 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Moving to Node #0,4,1
Current State: 68:[15, 2], Operations: ['98/98=1', '2/1=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[0, 17], Operations: ['98-98=0', '2+15=17']
Exploring Operation: 0*17=0, Resulting Numbers: [0]
0,68 unequal: No Solution
Exploring Operation: 0+17=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 17-0=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[2, 15], Operations: ['98-98=0', '15+0=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Moving to Node #0,4,4
Current State: 68:[2, 15], Operations: ['98/98=1', '15*1=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Moving to Node #0,3,4
Current State: 68:[2, 15], Operations: ['98-15=83', '98-83=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Moving to Node #0,0,4
Current State: 68:[15, 2], Operations: ['98-98=0', '2+0=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Moving to Node #0,1,4
Current State: 68:[15, 2], Operations: ['98/2=49', '98/49=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Moving to Node #0,4,3
Current State: 68:[15, 2], Operations: ['98/98=1', '2*1=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[2, 0], Operations: ['98-98=0', '15*0=0']
Exploring Operation: 2+0=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 2*0=0, Resulting Numbers: [0]
0,68 unequal: No Solution
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Moving to Node #0,0,2
Current State: 68:[15, 2], Operations: ['98-98=0', '2-0=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[15, 49], Operations: ['98/2=49', '98-49=49']
Exploring Operation: 15*49=735, Resulting Numbers: [735]
735,68 unequal: No Solution
Exploring Operation: 15+49=64, Resulting Numbers: [64]
64,68 unequal: No Solution
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[49, 83], Operations: ['98/2=49', '98-15=83']
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 49+83=132, Resulting Numbers: [132]
132,68 unequal: No Solution
Exploring Operation: 49*83=4067, Resulting Numbers: [4067]
4067,68 unequal: No Solution
Moving to Node #0,3,3
Current State: 68:[83, 49], Operations: ['98-15=83', '98/2=49']
Exploring Operation: 83+49=132, Resulting Numbers: [132]
132,68 unequal: No Solution
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 83*49=4067, Resulting Numbers: [4067]
4067,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[98, 34], Operations: ['98/2=49', '49-15=34']
Exploring Operation: 98+34=132, Resulting Numbers: [132]
132,68 unequal: No Solution
Exploring Operation: 98-34=64, Resulting Numbers: [64]
64,68 unequal: No Solution
Exploring Operation: 98*34=3332, Resulting Numbers: [3332]
3332,68 unequal: No Solution
Moving to Node #0,1,3
Current State: 68:[98, 64], Operations: ['98/2=49', '15+49=64']
Exploring Operation: 98*64=6272, Resulting Numbers: [6272]
6272,68 unequal: No Solution
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 98+64=162, Resulting Numbers: [162]
162,68 unequal: No Solution
Moving to Node #0,3,2
Current State: 68:[83, 96], Operations: ['98-15=83', '98-2=96']
Exploring Operation: 83+96=179, Resulting Numbers: [179]
179,68 unequal: No Solution
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 83*96=7968, Resulting Numbers: [7968]
7968,68 unequal: No Solution
Moving to Node #0,3,0
Current State: 68:[98, 81], Operations: ['98-15=83', '83-2=81']
Exploring Operation: 98*81=7938, Resulting Numbers: [7938]
7938,68 unequal: No Solution
Exploring Operation: 98+81=179, Resulting Numbers: [179]
179,68 unequal: No Solution
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Moving to Node #0,3,1
Current State: 68:[83, 100], Operations: ['98-15=83', '2+98=100']
Exploring Operation: 83+100=183, Resulting Numbers: [183]
183,68 unequal: No Solution
Exploring Operation: 100-83=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 83*100=8300, Resulting Numbers: [8300]
8300,68 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
44,
43,
36,
57
] | 20 | [
"44-43=1",
"57-36=21",
"21-1=20"
] | Current State: 20:[44, 43, 36, 57], Operations: []
Exploring Operation: 44-43=1, Resulting Numbers: [36, 57, 1]
Generated Node #2: [36, 57, 1] from Operation: 44-43=1
Current State: 20:[36, 57, 1], Operations: ['44-43=1']
Exploring Operation: 57-36=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 57-36=21
Current State: 20:[1, 21], Operations: ['44-43=1', '57-36=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[44, 43, 36, 57], Operations: []
Exploring Operation: 44-43=1, Resulting Numbers: [36, 57, 1]
Generated Node #0,0: 20:[36, 57, 1] Operation: 44-43=1
Exploring Operation: 57-43=14, Resulting Numbers: [44, 36, 14]
Generated Node #0,1: 20:[44, 36, 14] Operation: 57-43=14
Exploring Operation: 57-36=21, Resulting Numbers: [44, 43, 21]
Generated Node #0,2: 20:[44, 43, 21] Operation: 57-36=21
Exploring Operation: 57-44=13, Resulting Numbers: [43, 36, 13]
Generated Node #0,3: 20:[43, 36, 13] Operation: 57-44=13
Exploring Operation: 44-36=8, Resulting Numbers: [43, 57, 8]
Generated Node #0,4: 20:[43, 57, 8] Operation: 44-36=8
Moving to Node #0,3
Current State: 20:[43, 36, 13], Operations: ['57-44=13']
Exploring Operation: 43-13=30, Resulting Numbers: [36, 30]
Generated Node #0,3,0: 20:[36, 30] Operation: 43-13=30
Exploring Operation: 36+13=49, Resulting Numbers: [43, 49]
Generated Node #0,3,1: 20:[43, 49] Operation: 36+13=49
Exploring Operation: 43+13=56, Resulting Numbers: [36, 56]
Generated Node #0,3,2: 20:[36, 56] Operation: 43+13=56
Exploring Operation: 36-13=23, Resulting Numbers: [43, 23]
Generated Node #0,3,3: 20:[43, 23] Operation: 36-13=23
Exploring Operation: 43-36=7, Resulting Numbers: [13, 7]
Generated Node #0,3,4: 20:[13, 7] Operation: 43-36=7
Moving to Node #0,1
Current State: 20:[44, 36, 14], Operations: ['57-43=14']
Exploring Operation: 44-36=8, Resulting Numbers: [14, 8]
Generated Node #0,1,0: 20:[14, 8] Operation: 44-36=8
Exploring Operation: 44-14=30, Resulting Numbers: [36, 30]
Generated Node #0,1,1: 20:[36, 30] Operation: 44-14=30
Exploring Operation: 36+14=50, Resulting Numbers: [44, 50]
Generated Node #0,1,2: 20:[44, 50] Operation: 36+14=50
Exploring Operation: 44+14=58, Resulting Numbers: [36, 58]
Generated Node #0,1,3: 20:[36, 58] Operation: 44+14=58
Exploring Operation: 36-14=22, Resulting Numbers: [44, 22]
Generated Node #0,1,4: 20:[44, 22] Operation: 36-14=22
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[14, 8], Operations: ['57-43=14', '44-36=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,20 unequal: No Solution
No 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: 20:[36, 30], Operations: ['57-43=14', '44-14=30']
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 36*30=1080, Resulting Numbers: [1080]
1080,20 unequal: No Solution
No 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: 20:[44, 22], Operations: ['57-43=14', '36-14=22']
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 44*22=968, Resulting Numbers: [968]
968,20 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 44+22=66, Resulting Numbers: [66]
66,20 unequal: No Solution
No 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: 20:[44, 50], Operations: ['57-43=14', '36+14=50']
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,20 unequal: No Solution
Exploring Operation: 44*50=2200, Resulting Numbers: [2200]
2200,20 unequal: No Solution
No 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: 20:[36, 58], Operations: ['57-43=14', '44+14=58']
Exploring Operation: 36*58=2088, Resulting Numbers: [2088]
2088,20 unequal: No Solution
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 36+58=94, Resulting Numbers: [94]
94,20 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: 20:[44, 43, 21], Operations: ['57-36=21']
Exploring Operation: 43-21=22, Resulting Numbers: [44, 22]
Generated Node #0,2,0: 20:[44, 22] Operation: 43-21=22
Exploring Operation: 44-43=1, Resulting Numbers: [21, 1]
Generated Node #0,2,1: 20:[21, 1] Operation: 44-43=1
Exploring Operation: 44-21=23, Resulting Numbers: [43, 23]
Generated Node #0,2,2: 20:[43, 23] Operation: 44-21=23
Exploring Operation: 44+21=65, Resulting Numbers: [43, 65]
Generated Node #0,2,3: 20:[43, 65] Operation: 44+21=65
Exploring Operation: 44+43=87, Resulting Numbers: [21, 87]
Generated Node #0,2,4: 20:[21, 87] Operation: 44+43=87
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 20:[21, 1], Operations: ['57-36=21', '44-43=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[44, 43, 36, 57], Operations: []
Exploring Operation: 57-36=21, Resulting Numbers: [44, 43, 21]
Generated Node #0,2: 20:[44, 43, 21] Operation: 57-36=21
Moving to Node #0,2
Current State: 20:[44, 43, 21], Operations: ['57-36=21']
Exploring Operation: 44-43=1, Resulting Numbers: [21, 1]
Generated Node #0,2,1: 20:[21, 1] Operation: 44-43=1
Moving to Node #0,2,1
Current State: 20:[21, 1], Operations: ['57-36=21', '44-43=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | mult_heuristic |
[
50,
51,
6,
58
] | 50 | [
"51+6=57",
"58-57=1",
"50*1=50"
] | Current State: 50:[50, 51, 6, 58], Operations: []
Exploring Operation: 51+6=57, Resulting Numbers: [50, 58, 57]
Generated Node #2: [50, 58, 57] from Operation: 51+6=57
Current State: 50:[50, 58, 57], Operations: ['51+6=57']
Exploring Operation: 58-57=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 58-57=1
Current State: 50:[50, 1], Operations: ['51+6=57', '58-57=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[50, 51, 6, 58], Operations: []
Exploring Operation: 58-50=8, Resulting Numbers: [51, 6, 8]
Generated Node #0,0: 50:[51, 6, 8] Operation: 58-50=8
Exploring Operation: 58-51=7, Resulting Numbers: [50, 6, 7]
Generated Node #0,1: 50:[50, 6, 7] Operation: 58-51=7
Exploring Operation: 58-6=52, Resulting Numbers: [50, 51, 52]
Generated Node #0,2: 50:[50, 51, 52] Operation: 58-6=52
Moving to Node #0,1
Current State: 50:[50, 6, 7], Operations: ['58-51=7']
Exploring Operation: 6+7=13, Resulting Numbers: [50, 13]
Generated Node #0,1,0: 50:[50, 13] Operation: 6+7=13
Exploring Operation: 7-6=1, Resulting Numbers: [50, 1]
Generated Node #0,1,1: 50:[50, 1] Operation: 7-6=1
Exploring Operation: 50+6=56, Resulting Numbers: [7, 56]
Generated Node #0,1,2: 50:[7, 56] Operation: 50+6=56
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[50, 1], Operations: ['58-51=7', '7-6=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[50, 51, 6, 58], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [50, 6, 7]
Generated Node #0,1: 50:[50, 6, 7] Operation: 58-51=7
Moving to Node #0,1
Current State: 50:[50, 6, 7], Operations: ['58-51=7']
Exploring Operation: 7-6=1, Resulting Numbers: [50, 1]
Generated Node #0,1,1: 50:[50, 1] Operation: 7-6=1
Moving to Node #0,1,1
Current State: 50:[50, 1], Operations: ['58-51=7', '7-6=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
94,
47,
57,
78
] | 19 | [
"94/47=2",
"78-57=21",
"21-2=19"
] | Current State: 19:[94, 47, 57, 78], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [57, 78, 2]
Generated Node #2: [57, 78, 2] from Operation: 94/47=2
Current State: 19:[57, 78, 2], Operations: ['94/47=2']
Exploring Operation: 78-57=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 78-57=21
Current State: 19:[2, 21], Operations: ['94/47=2', '78-57=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[94, 47, 57, 78], Operations: []
Exploring Operation: 94-47=47, Resulting Numbers: [57, 78, 47]
Generated Node #0,0: 19:[57, 78, 47] Operation: 94-47=47
Exploring Operation: 94-78=16, Resulting Numbers: [47, 57, 16]
Generated Node #0,1: 19:[47, 57, 16] Operation: 94-78=16
Exploring Operation: 78-57=21, Resulting Numbers: [94, 47, 21]
Generated Node #0,2: 19:[94, 47, 21] Operation: 78-57=21
Exploring Operation: 94/47=2, Resulting Numbers: [57, 78, 2]
Generated Node #0,3: 19:[57, 78, 2] Operation: 94/47=2
Exploring Operation: 94-57=37, Resulting Numbers: [47, 78, 37]
Generated Node #0,4: 19:[47, 78, 37] Operation: 94-57=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[47, 57, 16], Operations: ['94-78=16']
Exploring Operation: 47-16=31, Resulting Numbers: [57, 31]
Generated Node #0,1,0: 19:[57, 31] Operation: 47-16=31
Exploring Operation: 57+16=73, Resulting Numbers: [47, 73]
Generated Node #0,1,1: 19:[47, 73] Operation: 57+16=73
Exploring Operation: 57-47=10, Resulting Numbers: [16, 10]
Generated Node #0,1,2: 19:[16, 10] Operation: 57-47=10
Exploring Operation: 57-16=41, Resulting Numbers: [47, 41]
Generated Node #0,1,3: 19:[47, 41] Operation: 57-16=41
Exploring Operation: 47+16=63, Resulting Numbers: [57, 63]
Generated Node #0,1,4: 19:[57, 63] Operation: 47+16=63
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[16, 10], Operations: ['94-78=16', '57-47=10']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,19 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[57, 31], Operations: ['94-78=16', '47-16=31']
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,19 unequal: No Solution
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,19 unequal: No Solution
Exploring Operation: 57*31=1767, Resulting Numbers: [1767]
1767,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 19:[47, 41], Operations: ['94-78=16', '57-16=41']
Exploring Operation: 47-41=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 47*41=1927, Resulting Numbers: [1927]
1927,19 unequal: No Solution
Exploring Operation: 47+41=88, Resulting Numbers: [88]
88,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[47, 73], Operations: ['94-78=16', '57+16=73']
Exploring Operation: 47+73=120, Resulting Numbers: [120]
120,19 unequal: No Solution
Exploring Operation: 47*73=3431, Resulting Numbers: [3431]
3431,19 unequal: No Solution
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 19:[57, 63], Operations: ['94-78=16', '47+16=63']
Exploring Operation: 57+63=120, Resulting Numbers: [120]
120,19 unequal: No Solution
Exploring Operation: 57*63=3591, Resulting Numbers: [3591]
3591,19 unequal: No Solution
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,19 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 #0,2
Current State: 19:[94, 47, 21], Operations: ['78-57=21']
Exploring Operation: 94+47=141, Resulting Numbers: [21, 141]
Generated Node #0,2,0: 19:[21, 141] Operation: 94+47=141
Exploring Operation: 94-47=47, Resulting Numbers: [21, 47]
Generated Node #0,2,1: 19:[21, 47] Operation: 94-47=47
Exploring Operation: 94/47=2, Resulting Numbers: [21, 2]
Generated Node #0,2,2: 19:[21, 2] Operation: 94/47=2
Exploring Operation: 47-21=26, Resulting Numbers: [94, 26]
Generated Node #0,2,3: 19:[94, 26] Operation: 47-21=26
Exploring Operation: 94-21=73, Resulting Numbers: [47, 73]
Generated Node #0,2,4: 19:[47, 73] Operation: 94-21=73
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 19:[21, 2], Operations: ['78-57=21', '94/47=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[94, 47, 57, 78], Operations: []
Exploring Operation: 78-57=21, Resulting Numbers: [94, 47, 21]
Generated Node #0,2: 19:[94, 47, 21] Operation: 78-57=21
Moving to Node #0,2
Current State: 19:[94, 47, 21], Operations: ['78-57=21']
Exploring Operation: 94/47=2, Resulting Numbers: [21, 2]
Generated Node #0,2,2: 19:[21, 2] Operation: 94/47=2
Moving to Node #0,2,2
Current State: 19:[21, 2], Operations: ['78-57=21', '94/47=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_5 | sum_heuristic |
[
29,
49,
70,
9
] | 81 | [
"49-29=20",
"70-9=61",
"20+61=81"
] | Current State: 81:[29, 49, 70, 9], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [70, 9, 20]
Generated Node #2: [70, 9, 20] from Operation: 49-29=20
Current State: 81:[70, 9, 20], Operations: ['49-29=20']
Exploring Operation: 70-9=61, Resulting Numbers: [20, 61]
Generated Node #3: [20, 61] from Operation: 70-9=61
Current State: 81:[20, 61], Operations: ['49-29=20', '70-9=61']
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[29, 49, 70, 9], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [70, 9, 20]
Generated Node #0,0: 81:[70, 9, 20] Operation: 49-29=20
Exploring Operation: 29+49=78, Resulting Numbers: [70, 9, 78]
Generated Node #0,1: 81:[70, 9, 78] Operation: 29+49=78
Exploring Operation: 70-49=21, Resulting Numbers: [29, 9, 21]
Generated Node #0,2: 81:[29, 9, 21] Operation: 70-49=21
Moving to Node #0,2
Current State: 81:[29, 9, 21], Operations: ['70-49=21']
Exploring Operation: 29-21=8, Resulting Numbers: [9, 8]
Generated Node #0,2,0: 81:[9, 8] Operation: 29-21=8
Exploring Operation: 9+21=30, Resulting Numbers: [29, 30]
Generated Node #0,2,1: 81:[29, 30] Operation: 9+21=30
Exploring Operation: 21-9=12, Resulting Numbers: [29, 12]
Generated Node #0,2,2: 81:[29, 12] Operation: 21-9=12
Moving to Node #0,1
Current State: 81:[70, 9, 78], Operations: ['29+49=78']
Exploring Operation: 78-70=8, Resulting Numbers: [9, 8]
Generated Node #0,1,0: 81:[9, 8] Operation: 78-70=8
Exploring Operation: 70+9=79, Resulting Numbers: [78, 79]
Generated Node #0,1,1: 81:[78, 79] Operation: 70+9=79
Exploring Operation: 9+78=87, Resulting Numbers: [70, 87]
Generated Node #0,1,2: 81:[70, 87] Operation: 9+78=87
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[9, 8], Operations: ['29+49=78', '78-70=8']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,81 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[78, 79], Operations: ['29+49=78', '70+9=79']
Exploring Operation: 78*79=6162, Resulting Numbers: [6162]
6162,81 unequal: No Solution
Exploring Operation: 79-78=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 78+79=157, Resulting Numbers: [157]
157,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[70, 87], Operations: ['29+49=78', '9+78=87']
Exploring Operation: 87-70=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 70*87=6090, Resulting Numbers: [6090]
6090,81 unequal: No Solution
Exploring Operation: 70+87=157, Resulting Numbers: [157]
157,81 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: 81:[70, 9, 20], Operations: ['49-29=20']
Exploring Operation: 70+20=90, Resulting Numbers: [9, 90]
Generated Node #0,0,0: 81:[9, 90] Operation: 70+20=90
Exploring Operation: 70+9=79, Resulting Numbers: [20, 79]
Generated Node #0,0,1: 81:[20, 79] Operation: 70+9=79
Exploring Operation: 9+20=29, Resulting Numbers: [70, 29]
Generated Node #0,0,2: 81:[70, 29] Operation: 9+20=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[9, 90], Operations: ['49-29=20', '70+20=90']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[29, 49, 70, 9], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [70, 9, 20]
Generated Node #0,0: 81:[70, 9, 20] Operation: 49-29=20
Moving to Node #0,0
Current State: 81:[70, 9, 20], Operations: ['49-29=20']
Exploring Operation: 70+20=90, Resulting Numbers: [9, 90]
Generated Node #0,0,0: 81:[9, 90] Operation: 70+20=90
Moving to Node #0,0,0
Current State: 81:[9, 90], Operations: ['49-29=20', '70+20=90']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
[
43,
5,
78,
8
] | 15 | [
"78-43=35",
"35/5=7",
"8+7=15"
] | Current State: 15:[43, 5, 78, 8], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [5, 8, 35]
Generated Node #2: [5, 8, 35] from Operation: 78-43=35
Current State: 15:[5, 8, 35], Operations: ['78-43=35']
Exploring Operation: 35/5=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 35/5=7
Current State: 15:[8, 7], Operations: ['78-43=35', '35/5=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[43, 5, 78, 8], Operations: []
Exploring Operation: 43-8=35, Resulting Numbers: [5, 78, 35]
Generated Node #0,0: 15:[5, 78, 35] Operation: 43-8=35
Exploring Operation: 78-8=70, Resulting Numbers: [43, 5, 70]
Generated Node #0,1: 15:[43, 5, 70] Operation: 78-8=70
Exploring Operation: 78-43=35, Resulting Numbers: [5, 8, 35]
Generated Node #0,2: 15:[5, 8, 35] Operation: 78-43=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[5, 8, 35], Operations: ['78-43=35']
Exploring Operation: 35-5=30, Resulting Numbers: [8, 30]
Generated Node #0,2,0: 15:[8, 30] Operation: 35-5=30
Exploring Operation: 35-8=27, Resulting Numbers: [5, 27]
Generated Node #0,2,1: 15:[5, 27] Operation: 35-8=27
Exploring Operation: 35/5=7, Resulting Numbers: [8, 7]
Generated Node #0,2,2: 15:[8, 7] Operation: 35/5=7
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[8, 7], Operations: ['78-43=35', '35/5=7']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[43, 5, 78, 8], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [5, 8, 35]
Generated Node #0,2: 15:[5, 8, 35] Operation: 78-43=35
Moving to Node #0,2
Current State: 15:[5, 8, 35], Operations: ['78-43=35']
Exploring Operation: 35/5=7, Resulting Numbers: [8, 7]
Generated Node #0,2,2: 15:[8, 7] Operation: 35/5=7
Moving to Node #0,2,2
Current State: 15:[8, 7], Operations: ['78-43=35', '35/5=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
69,
97,
38,
7
] | 100 | [
"69+97=166",
"38*7=266",
"266-166=100"
] | Current State: 100:[69, 97, 38, 7], Operations: []
Exploring Operation: 69+97=166, Resulting Numbers: [38, 7, 166]
Generated Node #2: [38, 7, 166] from Operation: 69+97=166
Current State: 100:[38, 7, 166], Operations: ['69+97=166']
Exploring Operation: 38*7=266, Resulting Numbers: [166, 266]
Generated Node #3: [166, 266] from Operation: 38*7=266
Current State: 100:[166, 266], Operations: ['69+97=166', '38*7=266']
Exploring Operation: 266-166=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[69, 97, 38, 7], Operations: []
Exploring Operation: 69+38=107, Resulting Numbers: [97, 7, 107]
Generated Node #0,0: 100:[97, 7, 107] Operation: 69+38=107
Exploring Operation: 69-38=31, Resulting Numbers: [97, 7, 31]
Generated Node #0,1: 100:[97, 7, 31] Operation: 69-38=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[97, 7, 31], Operations: ['69-38=31']
Exploring Operation: 97+7=104, Resulting Numbers: [31, 104]
Generated Node #0,1,0: 100:[31, 104] Operation: 97+7=104
Exploring Operation: 31-7=24, Resulting Numbers: [97, 24]
Generated Node #0,1,1: 100:[97, 24] Operation: 31-7=24
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[97, 24], Operations: ['69-38=31', '31-7=24']
Exploring Operation: 97+24=121, Resulting Numbers: [121]
121,100 unequal: No Solution
Exploring Operation: 97-24=73, Resulting Numbers: [73]
73,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[31, 104], Operations: ['69-38=31', '97+7=104']
Exploring Operation: 31+104=135, Resulting Numbers: [135]
135,100 unequal: No Solution
Exploring Operation: 104-31=73, Resulting Numbers: [73]
73,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[97, 7, 107], Operations: ['69+38=107']
Exploring Operation: 107-97=10, Resulting Numbers: [7, 10]
Generated Node #0,0,0: 100:[7, 10] Operation: 107-97=10
Exploring Operation: 107-7=100, Resulting Numbers: [97, 100]
Generated Node #0,0,1: 100:[97, 100] Operation: 107-7=100
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[7, 10], Operations: ['69+38=107', '107-97=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[97, 100], Operations: ['69+38=107', '107-7=100']
Exploring Operation: 97+100=197, Resulting Numbers: [197]
197,100 unequal: No Solution
Exploring Operation: 100-97=3, Resulting Numbers: [3]
3,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
58,
3,
39,
86
] | 41 | [
"86-58=28",
"39/3=13",
"28+13=41"
] | Current State: 41:[58, 3, 39, 86], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [3, 39, 28]
Generated Node #2: [3, 39, 28] from Operation: 86-58=28
Current State: 41:[3, 39, 28], Operations: ['86-58=28']
Exploring Operation: 39/3=13, Resulting Numbers: [28, 13]
Generated Node #3: [28, 13] from Operation: 39/3=13
Current State: 41:[28, 13], Operations: ['86-58=28', '39/3=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[58, 3, 39, 86], Operations: []
Exploring Operation: 58-3=55, Resulting Numbers: [39, 86, 55]
Generated Node #0,0: 41:[39, 86, 55] Operation: 58-3=55
Exploring Operation: 86-58=28, Resulting Numbers: [3, 39, 28]
Generated Node #0,1: 41:[3, 39, 28] Operation: 86-58=28
Moving to Node #0,1
Current State: 41:[3, 39, 28], Operations: ['86-58=28']
Exploring Operation: 3+28=31, Resulting Numbers: [39, 31]
Generated Node #0,1,0: 41:[39, 31] Operation: 3+28=31
Exploring Operation: 3+39=42, Resulting Numbers: [28, 42]
Generated Node #0,1,1: 41:[28, 42] Operation: 3+39=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[39, 31], Operations: ['86-58=28', '3+28=31']
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[28, 42], Operations: ['86-58=28', '3+39=42']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 41:[39, 86, 55], Operations: ['58-3=55']
Exploring Operation: 86-39=47, Resulting Numbers: [55, 47]
Generated Node #0,0,0: 41:[55, 47] Operation: 86-39=47
Exploring Operation: 86-55=31, Resulting Numbers: [39, 31]
Generated Node #0,0,1: 41:[39, 31] Operation: 86-55=31
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[39, 31], Operations: ['58-3=55', '86-55=31']
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[55, 47], Operations: ['58-3=55', '86-39=47']
Exploring Operation: 55+47=102, Resulting Numbers: [102]
102,41 unequal: No Solution
Exploring Operation: 55-47=8, Resulting Numbers: [8]
8,41 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 |
[
92,
77,
20,
94
] | 59 | [
"92-77=15",
"94-20=74",
"74-15=59"
] | Current State: 59:[92, 77, 20, 94], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [20, 94, 15]
Generated Node #2: [20, 94, 15] from Operation: 92-77=15
Current State: 59:[20, 94, 15], Operations: ['92-77=15']
Exploring Operation: 94-20=74, Resulting Numbers: [15, 74]
Generated Node #3: [15, 74] from Operation: 94-20=74
Current State: 59:[15, 74], Operations: ['92-77=15', '94-20=74']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[92, 77, 20, 94], Operations: []
Exploring Operation: 77-20=57, Resulting Numbers: [92, 94, 57]
Generated Node #0,0: 59:[92, 94, 57] Operation: 77-20=57
Exploring Operation: 92-20=72, Resulting Numbers: [77, 94, 72]
Generated Node #0,1: 59:[77, 94, 72] Operation: 92-20=72
Exploring Operation: 92+20=112, Resulting Numbers: [77, 94, 112]
Generated Node #0,2: 59:[77, 94, 112] Operation: 92+20=112
Exploring Operation: 94-20=74, Resulting Numbers: [92, 77, 74]
Generated Node #0,3: 59:[92, 77, 74] Operation: 94-20=74
Moving to Node #0,1
Current State: 59:[77, 94, 72], Operations: ['92-20=72']
Exploring Operation: 77-72=5, Resulting Numbers: [94, 5]
Generated Node #0,1,0: 59:[94, 5] Operation: 77-72=5
Exploring Operation: 94-77=17, Resulting Numbers: [72, 17]
Generated Node #0,1,1: 59:[72, 17] Operation: 94-77=17
Exploring Operation: 94-72=22, Resulting Numbers: [77, 22]
Generated Node #0,1,2: 59:[77, 22] Operation: 94-72=22
Exploring Operation: 77+94=171, Resulting Numbers: [72, 171]
Generated Node #0,1,3: 59:[72, 171] Operation: 77+94=171
Moving to Node #0,3
Current State: 59:[92, 77, 74], Operations: ['94-20=74']
Exploring Operation: 77-74=3, Resulting Numbers: [92, 3]
Generated Node #0,3,0: 59:[92, 3] Operation: 77-74=3
Exploring Operation: 92-74=18, Resulting Numbers: [77, 18]
Generated Node #0,3,1: 59:[77, 18] Operation: 92-74=18
Exploring Operation: 92-77=15, Resulting Numbers: [74, 15]
Generated Node #0,3,2: 59:[74, 15] Operation: 92-77=15
Exploring Operation: 92+77=169, Resulting Numbers: [74, 169]
Generated Node #0,3,3: 59:[74, 169] Operation: 92+77=169
Moving to Node #0,0
Current State: 59:[92, 94, 57], Operations: ['77-20=57']
Exploring Operation: 92+57=149, Resulting Numbers: [94, 149]
Generated Node #0,0,0: 59:[94, 149] Operation: 92+57=149
Exploring Operation: 94-92=2, Resulting Numbers: [57, 2]
Generated Node #0,0,1: 59:[57, 2] Operation: 94-92=2
Exploring Operation: 92-57=35, Resulting Numbers: [94, 35]
Generated Node #0,0,2: 59:[94, 35] Operation: 92-57=35
Exploring Operation: 94-57=37, Resulting Numbers: [92, 37]
Generated Node #0,0,3: 59:[92, 37] Operation: 94-57=37
Moving to Node #0,2
Current State: 59:[77, 94, 112], Operations: ['92+20=112']
Exploring Operation: 112-77=35, Resulting Numbers: [94, 35]
Generated Node #0,2,0: 59:[94, 35] Operation: 112-77=35
Exploring Operation: 94-77=17, Resulting Numbers: [112, 17]
Generated Node #0,2,1: 59:[112, 17] Operation: 94-77=17
Exploring Operation: 112-94=18, Resulting Numbers: [77, 18]
Generated Node #0,2,2: 59:[77, 18] Operation: 112-94=18
Exploring Operation: 77+94=171, Resulting Numbers: [112, 171]
Generated Node #0,2,3: 59:[112, 171] Operation: 77+94=171
Moving to Node #0,1,1
Current State: 59:[72, 17], Operations: ['92-20=72', '94-77=17']
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 72*17=1224, Resulting Numbers: [1224]
1224,59 unequal: No Solution
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[77, 22], Operations: ['92-20=72', '94-72=22']
Exploring Operation: 77*22=1694, Resulting Numbers: [1694]
1694,59 unequal: No Solution
Exploring Operation: 77+22=99, Resulting Numbers: [99]
99,59 unequal: No Solution
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[92, 37], Operations: ['77-20=57', '94-57=37']
Exploring Operation: 92-37=55, Resulting Numbers: [55]
55,59 unequal: No Solution
Exploring Operation: 92+37=129, Resulting Numbers: [129]
129,59 unequal: No Solution
Exploring Operation: 92*37=3404, Resulting Numbers: [3404]
3404,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[74, 15], Operations: ['94-20=74', '92-77=15']
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,59 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[92, 77, 20, 94], Operations: []
Exploring Operation: 94-20=74, Resulting Numbers: [92, 77, 74]
Generated Node #0,3: 59:[92, 77, 74] Operation: 94-20=74
Moving to Node #0,3
Current State: 59:[92, 77, 74], Operations: ['94-20=74']
Exploring Operation: 92-77=15, Resulting Numbers: [74, 15]
Generated Node #0,3,2: 59:[74, 15] Operation: 92-77=15
Moving to Node #0,3,2
Current State: 59:[74, 15], Operations: ['94-20=74', '92-77=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 0.969618 | hs_4 | mult_heuristic |
[
37,
18,
48,
19
] | 85 | [
"37+48=85",
"19-18=1",
"85*1=85"
] | Current State: 85:[37, 18, 48, 19], Operations: []
Exploring Operation: 37+48=85, Resulting Numbers: [18, 19, 85]
Generated Node #2: [18, 19, 85] from Operation: 37+48=85
Current State: 85:[18, 19, 85], Operations: ['37+48=85']
Exploring Operation: 19-18=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 19-18=1
Current State: 85:[85, 1], Operations: ['37+48=85', '19-18=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[37, 18, 48, 19], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [18, 19, 11]
Generated Node #0,0: 85:[18, 19, 11] Operation: 48-37=11
Exploring Operation: 37-18=19, Resulting Numbers: [48, 19, 19]
Generated Node #0,1: 85:[48, 19, 19] Operation: 37-18=19
Exploring Operation: 37+48=85, Resulting Numbers: [18, 19, 85]
Generated Node #0,2: 85:[18, 19, 85] Operation: 37+48=85
Exploring Operation: 37-19=18, Resulting Numbers: [18, 48, 18]
Generated Node #0,3: 85:[18, 48, 18] Operation: 37-19=18
Exploring Operation: 48-19=29, Resulting Numbers: [37, 18, 29]
Generated Node #0,4: 85:[37, 18, 29] Operation: 48-19=29
Moving to Node #0,2
Current State: 85:[18, 19, 85], Operations: ['37+48=85']
Exploring Operation: 19-18=1, Resulting Numbers: [85, 1]
Generated Node #0,2,0: 85:[85, 1] Operation: 19-18=1
Exploring Operation: 19+85=104, Resulting Numbers: [18, 104]
Generated Node #0,2,1: 85:[18, 104] Operation: 19+85=104
Exploring Operation: 18+85=103, Resulting Numbers: [19, 103]
Generated Node #0,2,2: 85:[19, 103] Operation: 18+85=103
Exploring Operation: 85-18=67, Resulting Numbers: [19, 67]
Generated Node #0,2,3: 85:[19, 67] Operation: 85-18=67
Exploring Operation: 18+19=37, Resulting Numbers: [85, 37]
Generated Node #0,2,4: 85:[85, 37] Operation: 18+19=37
Moving to Node #0,0
Current State: 85:[18, 19, 11], Operations: ['48-37=11']
Exploring Operation: 19-11=8, Resulting Numbers: [18, 8]
Generated Node #0,0,0: 85:[18, 8] Operation: 19-11=8
Exploring Operation: 19+11=30, Resulting Numbers: [18, 30]
Generated Node #0,0,1: 85:[18, 30] Operation: 19+11=30
Exploring Operation: 18-11=7, Resulting Numbers: [19, 7]
Generated Node #0,0,2: 85:[19, 7] Operation: 18-11=7
Exploring Operation: 19-18=1, Resulting Numbers: [11, 1]
Generated Node #0,0,3: 85:[11, 1] Operation: 19-18=1
Exploring Operation: 18+11=29, Resulting Numbers: [19, 29]
Generated Node #0,0,4: 85:[19, 29] Operation: 18+11=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[18, 8], Operations: ['48-37=11', '19-11=8']
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,85 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,85 unequal: No Solution
No 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: 85:[19, 7], Operations: ['48-37=11', '18-11=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,85 unequal: No Solution
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,85 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,85 unequal: No Solution
No 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: 85:[11, 1], Operations: ['48-37=11', '19-18=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,85 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,85 unequal: No Solution
No 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: 85:[18, 30], Operations: ['48-37=11', '19+11=30']
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,85 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,85 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,85 unequal: No Solution
No 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: 85:[19, 29], Operations: ['48-37=11', '18+11=29']
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,85 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,85 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: 85:[18, 48, 18], Operations: ['37-19=18']
Exploring Operation: 48-18=30, Resulting Numbers: [18, 30]
Generated Node #0,3,0: 85:[18, 30] Operation: 48-18=30
Exploring Operation: 18+48=66, Resulting Numbers: [18, 66]
Generated Node #0,3,1: 85:[18, 66] Operation: 18+48=66
Exploring Operation: 48-18=30, Resulting Numbers: [18, 30]
Generated Node #0,3,2: 85:[18, 30] Operation: 48-18=30
Exploring Operation: 48+18=66, Resulting Numbers: [18, 66]
Generated Node #0,3,3: 85:[18, 66] Operation: 48+18=66
Exploring Operation: 18/18=1, Resulting Numbers: [48, 1]
Generated Node #0,3,4: 85:[48, 1] Operation: 18/18=1
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 85:[18, 30], Operations: ['37-19=18', '48-18=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,85 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,85 unequal: No Solution
No 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: 85:[18, 30], Operations: ['37-19=18', '48-18=30']
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,85 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,85 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,85 unequal: No Solution
No 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: 85:[18, 66], Operations: ['37-19=18', '18+48=66']
Exploring Operation: 18*66=1188, Resulting Numbers: [1188]
1188,85 unequal: No Solution
Exploring Operation: 18+66=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,85 unequal: No Solution
No 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: 85:[18, 66], Operations: ['37-19=18', '48+18=66']
Exploring Operation: 18+66=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 18*66=1188, Resulting Numbers: [1188]
1188,85 unequal: No Solution
No 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: 85:[48, 1], Operations: ['37-19=18', '18/18=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,85 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,85 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: 85:[37, 18, 29], Operations: ['48-19=29']
Exploring Operation: 37+29=66, Resulting Numbers: [18, 66]
Generated Node #0,4,0: 85:[18, 66] Operation: 37+29=66
Exploring Operation: 37-18=19, Resulting Numbers: [29, 19]
Generated Node #0,4,1: 85:[29, 19] Operation: 37-18=19
Exploring Operation: 29-18=11, Resulting Numbers: [37, 11]
Generated Node #0,4,2: 85:[37, 11] Operation: 29-18=11
Exploring Operation: 37+18=55, Resulting Numbers: [29, 55]
Generated Node #0,4,3: 85:[29, 55] Operation: 37+18=55
Exploring Operation: 37-29=8, Resulting Numbers: [18, 8]
Generated Node #0,4,4: 85:[18, 8] Operation: 37-29=8
Moving to Node #0,1
Current State: 85:[48, 19, 19], Operations: ['37-18=19']
Exploring Operation: 19/19=1, Resulting Numbers: [48, 1]
Generated Node #0,1,0: 85:[48, 1] Operation: 19/19=1
Exploring Operation: 48-19=29, Resulting Numbers: [19, 29]
Generated Node #0,1,1: 85:[19, 29] Operation: 48-19=29
Exploring Operation: 48+19=67, Resulting Numbers: [19, 67]
Generated Node #0,1,2: 85:[19, 67] Operation: 48+19=67
Exploring Operation: 48+19=67, Resulting Numbers: [19, 67]
Generated Node #0,1,3: 85:[19, 67] Operation: 48+19=67
Exploring Operation: 48-19=29, Resulting Numbers: [19, 29]
Generated Node #0,1,4: 85:[19, 29] Operation: 48-19=29
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[19, 29], Operations: ['37-18=19', '48-19=29']
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,85 unequal: No Solution
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,85 unequal: No Solution
No 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: 85:[19, 29], Operations: ['37-18=19', '48-19=29']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,85 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,85 unequal: No Solution
No 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: 85:[19, 67], Operations: ['37-18=19', '48+19=67']
Exploring Operation: 19+67=86, Resulting Numbers: [86]
86,85 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 19*67=1273, Resulting Numbers: [1273]
1273,85 unequal: No Solution
No 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: 85:[19, 67], Operations: ['37-18=19', '48+19=67']
Exploring Operation: 19*67=1273, Resulting Numbers: [1273]
1273,85 unequal: No Solution
Exploring Operation: 19+67=86, Resulting Numbers: [86]
86,85 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,85 unequal: No Solution
No 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: 85:[48, 1], Operations: ['37-18=19', '19/19=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,85 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 85:[85, 1], Operations: ['37+48=85', '19-18=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,85 unequal: No Solution
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[37, 18, 48, 19], Operations: []
Exploring Operation: 37+48=85, Resulting Numbers: [18, 19, 85]
Generated Node #0,2: 85:[18, 19, 85] Operation: 37+48=85
Moving to Node #0,2
Current State: 85:[18, 19, 85], Operations: ['37+48=85']
Exploring Operation: 19-18=1, Resulting Numbers: [85, 1]
Generated Node #0,2,0: 85:[85, 1] Operation: 19-18=1
Moving to Node #0,2,0
Current State: 85:[85, 1], Operations: ['37+48=85', '19-18=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 0.926215 | hs_5 | mult_heuristic |
[
80,
76,
9,
28
] | 41 | [
"80-76=4",
"9+28=37",
"4+37=41"
] | Current State: 41:[80, 76, 9, 28], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [9, 28, 4]
Generated Node #2: [9, 28, 4] from Operation: 80-76=4
Current State: 41:[9, 28, 4], Operations: ['80-76=4']
Exploring Operation: 9+28=37, Resulting Numbers: [4, 37]
Generated Node #3: [4, 37] from Operation: 9+28=37
Current State: 41:[4, 37], Operations: ['80-76=4', '9+28=37']
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[80, 76, 9, 28], Operations: []
Exploring Operation: 76-28=48, Resulting Numbers: [80, 9, 48]
Generated Node #0,0: 41:[80, 9, 48] Operation: 76-28=48
Exploring Operation: 80-9=71, Resulting Numbers: [76, 28, 71]
Generated Node #0,1: 41:[76, 28, 71] Operation: 80-9=71
Exploring Operation: 76-9=67, Resulting Numbers: [80, 28, 67]
Generated Node #0,2: 41:[80, 28, 67] Operation: 76-9=67
Exploring Operation: 9+28=37, Resulting Numbers: [80, 76, 37]
Generated Node #0,3: 41:[80, 76, 37] Operation: 9+28=37
Exploring Operation: 80-28=52, Resulting Numbers: [76, 9, 52]
Generated Node #0,4: 41:[76, 9, 52] Operation: 80-28=52
Moving to Node #0,0
Current State: 41:[80, 9, 48], Operations: ['76-28=48']
Exploring Operation: 80-48=32, Resulting Numbers: [9, 32]
Generated Node #0,0,0: 41:[9, 32] Operation: 80-48=32
Exploring Operation: 48-9=39, Resulting Numbers: [80, 39]
Generated Node #0,0,1: 41:[80, 39] Operation: 48-9=39
Exploring Operation: 9+48=57, Resulting Numbers: [80, 57]
Generated Node #0,0,2: 41:[80, 57] Operation: 9+48=57
Exploring Operation: 80-9=71, Resulting Numbers: [48, 71]
Generated Node #0,0,3: 41:[48, 71] Operation: 80-9=71
Exploring Operation: 80+9=89, Resulting Numbers: [48, 89]
Generated Node #0,0,4: 41:[48, 89] Operation: 80+9=89
Moving to Node #0,2
Current State: 41:[80, 28, 67], Operations: ['76-9=67']
Exploring Operation: 80+28=108, Resulting Numbers: [67, 108]
Generated Node #0,2,0: 41:[67, 108] Operation: 80+28=108
Exploring Operation: 28+67=95, Resulting Numbers: [80, 95]
Generated Node #0,2,1: 41:[80, 95] Operation: 28+67=95
Exploring Operation: 67-28=39, Resulting Numbers: [80, 39]
Generated Node #0,2,2: 41:[80, 39] Operation: 67-28=39
Exploring Operation: 80-28=52, Resulting Numbers: [67, 52]
Generated Node #0,2,3: 41:[67, 52] Operation: 80-28=52
Exploring Operation: 80-67=13, Resulting Numbers: [28, 13]
Generated Node #0,2,4: 41:[28, 13] Operation: 80-67=13
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[67, 52], Operations: ['76-9=67', '80-28=52']
Exploring Operation: 67*52=3484, Resulting Numbers: [3484]
3484,41 unequal: No Solution
Exploring Operation: 67-52=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 67+52=119, Resulting Numbers: [119]
119,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[80, 39], Operations: ['76-9=67', '67-28=39']
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[80, 76, 9, 28], Operations: []
Exploring Operation: 76-9=67, Resulting Numbers: [80, 28, 67]
Generated Node #0,2: 41:[80, 28, 67] Operation: 76-9=67
Moving to Node #0,2
Current State: 41:[80, 28, 67], Operations: ['76-9=67']
Exploring Operation: 67-28=39, Resulting Numbers: [80, 39]
Generated Node #0,2,2: 41:[80, 39] Operation: 67-28=39
Moving to Node #0,2,2
Current State: 41:[80, 39], Operations: ['76-9=67', '67-28=39']
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
28,
75,
13,
3
] | 57 | [
"75-28=47",
"13-3=10",
"47+10=57"
] | Current State: 57:[28, 75, 13, 3], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [13, 3, 47]
Generated Node #2: [13, 3, 47] from Operation: 75-28=47
Current State: 57:[13, 3, 47], Operations: ['75-28=47']
Exploring Operation: 13-3=10, Resulting Numbers: [47, 10]
Generated Node #3: [47, 10] from Operation: 13-3=10
Current State: 57:[47, 10], Operations: ['75-28=47', '13-3=10']
Exploring Operation: 47+10=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[28, 75, 13, 3], Operations: []
Exploring Operation: 75-13=62, Resulting Numbers: [28, 3, 62]
Generated Node #0,0: 57:[28, 3, 62] Operation: 75-13=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[28, 3, 62], Operations: ['75-13=62']
Exploring Operation: 28-3=25, Resulting Numbers: [62, 25]
Generated Node #0,0,0: 57:[62, 25] Operation: 28-3=25
Moving to Node #0,0,0
Current State: 57:[62, 25], Operations: ['75-13=62', '28-3=25']
Exploring Operation: 62-25=37, Resulting Numbers: [37]
37,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
83,
50,
97,
94
] | 11 | [
"83-50=33",
"97-94=3",
"33/3=11"
] | Current State: 11:[83, 50, 97, 94], Operations: []
Exploring Operation: 83-50=33, Resulting Numbers: [97, 94, 33]
Generated Node #2: [97, 94, 33] from Operation: 83-50=33
Current State: 11:[97, 94, 33], Operations: ['83-50=33']
Exploring Operation: 97-94=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 97-94=3
Current State: 11:[33, 3], Operations: ['83-50=33', '97-94=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[83, 50, 97, 94], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [50, 94, 14]
Generated Node #0,0: 11:[50, 94, 14] Operation: 97-83=14
Exploring Operation: 83-50=33, Resulting Numbers: [97, 94, 33]
Generated Node #0,1: 11:[97, 94, 33] Operation: 83-50=33
Exploring Operation: 97-94=3, Resulting Numbers: [83, 50, 3]
Generated Node #0,2: 11:[83, 50, 3] Operation: 97-94=3
Exploring Operation: 94-83=11, Resulting Numbers: [50, 97, 11]
Generated Node #0,3: 11:[50, 97, 11] Operation: 94-83=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[83, 50, 3], Operations: ['97-94=3']
Exploring Operation: 83-50=33, Resulting Numbers: [3, 33]
Generated Node #0,2,0: 11:[3, 33] Operation: 83-50=33
Exploring Operation: 50-3=47, Resulting Numbers: [83, 47]
Generated Node #0,2,1: 11:[83, 47] Operation: 50-3=47
Exploring Operation: 83+3=86, Resulting Numbers: [50, 86]
Generated Node #0,2,2: 11:[50, 86] Operation: 83+3=86
Exploring Operation: 83-3=80, Resulting Numbers: [50, 80]
Generated Node #0,2,3: 11:[50, 80] Operation: 83-3=80
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 11:[3, 33], Operations: ['97-94=3', '83-50=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[83, 50, 97, 94], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [83, 50, 3]
Generated Node #0,2: 11:[83, 50, 3] Operation: 97-94=3
Moving to Node #0,2
Current State: 11:[83, 50, 3], Operations: ['97-94=3']
Exploring Operation: 83-50=33, Resulting Numbers: [3, 33]
Generated Node #0,2,0: 11:[3, 33] Operation: 83-50=33
Moving to Node #0,2,0
Current State: 11:[3, 33], Operations: ['97-94=3', '83-50=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
47,
13,
47,
73
] | 94 | [
"73-47=26",
"26/13=2",
"47*2=94"
] | Current State: 94:[47, 13, 47, 73], Operations: []
Exploring Operation: 73-47=26, Resulting Numbers: [13, 26]
Generated Node #2: [13, 26] from Operation: 73-47=26
Current State: 94:[13, 26], Operations: ['73-47=26']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,94 equal: Goal Reached
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[47, 13, 47, 73], Operations: []
Exploring Operation: 13+73=86, Resulting Numbers: [47, 47, 86]
Generated Node #0,0: 94:[47, 47, 86] Operation: 13+73=86
Exploring Operation: 73-47=26, Resulting Numbers: [13, 47, 26]
Generated Node #0,1: 94:[13, 47, 26] Operation: 73-47=26
Exploring Operation: 73-13=60, Resulting Numbers: [47, 47, 60]
Generated Node #0,2: 94:[47, 47, 60] Operation: 73-13=60
Exploring Operation: 47+47=94, Resulting Numbers: [13, 73, 94]
Generated Node #0,3: 94:[13, 73, 94] Operation: 47+47=94
Exploring Operation: 73-47=26, Resulting Numbers: [47, 13, 26]
Generated Node #0,4: 94:[47, 13, 26] Operation: 73-47=26
Moving to Node #0,0
Current State: 94:[47, 47, 86], Operations: ['13+73=86']
Exploring Operation: 47+47=94, Resulting Numbers: [86, 94]
Generated Node #0,0,0: 94:[86, 94] Operation: 47+47=94
Exploring Operation: 47/47=1, Resulting Numbers: [86, 1]
Generated Node #0,0,1: 94:[86, 1] Operation: 47/47=1
Exploring Operation: 47-47=0, Resulting Numbers: [86, 0]
Generated Node #0,0,2: 94:[86, 0] Operation: 47-47=0
Exploring Operation: 86-47=39, Resulting Numbers: [47, 39]
Generated Node #0,0,3: 94:[47, 39] Operation: 86-47=39
Exploring Operation: 86-47=39, Resulting Numbers: [47, 39]
Generated Node #0,0,4: 94:[47, 39] Operation: 86-47=39
Moving to Node #0,2
Current State: 94:[47, 47, 60], Operations: ['73-13=60']
Exploring Operation: 60-47=13, Resulting Numbers: [47, 13]
Generated Node #0,2,0: 94:[47, 13] Operation: 60-47=13
Exploring Operation: 60-47=13, Resulting Numbers: [47, 13]
Generated Node #0,2,1: 94:[47, 13] Operation: 60-47=13
Exploring Operation: 47+60=107, Resulting Numbers: [47, 107]
Generated Node #0,2,2: 94:[47, 107] Operation: 47+60=107
Exploring Operation: 47+47=94, Resulting Numbers: [60, 94]
Generated Node #0,2,3: 94:[60, 94] Operation: 47+47=94
Exploring Operation: 47+60=107, Resulting Numbers: [47, 107]
Generated Node #0,2,4: 94:[47, 107] Operation: 47+60=107
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[47, 13], Operations: ['73-13=60', '60-47=13']
Exploring Operation: 47*13=611, Resulting Numbers: [611]
611,94 unequal: No Solution
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,94 unequal: No Solution
No 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: 94:[47, 13], Operations: ['73-13=60', '60-47=13']
Exploring Operation: 47*13=611, Resulting Numbers: [611]
611,94 unequal: No Solution
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,94 unequal: No Solution
No 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: 94:[47, 107], Operations: ['73-13=60', '47+60=107']
Exploring Operation: 107-47=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 47+107=154, Resulting Numbers: [154]
154,94 unequal: No Solution
Exploring Operation: 47*107=5029, Resulting Numbers: [5029]
5029,94 unequal: No Solution
No 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: 94:[60, 94], Operations: ['73-13=60', '47+47=94']
Exploring Operation: 60+94=154, Resulting Numbers: [154]
154,94 unequal: No Solution
Exploring Operation: 94-60=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 60*94=5640, Resulting Numbers: [5640]
5640,94 unequal: No Solution
No 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: 94:[47, 107], Operations: ['73-13=60', '47+60=107']
Exploring Operation: 107-47=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 47+107=154, Resulting Numbers: [154]
154,94 unequal: No Solution
Exploring Operation: 47*107=5029, Resulting Numbers: [5029]
5029,94 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: 94:[13, 47, 26], Operations: ['73-47=26']
Exploring Operation: 26-13=13, Resulting Numbers: [47, 13]
Generated Node #0,1,0: 94:[47, 13] Operation: 26-13=13
Exploring Operation: 47-26=21, Resulting Numbers: [13, 21]
Generated Node #0,1,1: 94:[13, 21] Operation: 47-26=21
Exploring Operation: 13+26=39, Resulting Numbers: [47, 39]
Generated Node #0,1,2: 94:[47, 39] Operation: 13+26=39
Exploring Operation: 47+26=73, Resulting Numbers: [13, 73]
Generated Node #0,1,3: 94:[13, 73] Operation: 47+26=73
Exploring Operation: 26/13=2, Resulting Numbers: [47, 2]
Generated Node #0,1,4: 94:[47, 2] Operation: 26/13=2
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 94:[47, 2], Operations: ['73-47=26', '26/13=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[47, 13, 47, 73], Operations: []
Exploring Operation: 73-47=26, Resulting Numbers: [13, 47, 26]
Generated Node #0,1: 94:[13, 47, 26] Operation: 73-47=26
Moving to Node #0,1
Current State: 94:[13, 47, 26], Operations: ['73-47=26']
Exploring Operation: 26/13=2, Resulting Numbers: [47, 2]
Generated Node #0,1,4: 94:[47, 2] Operation: 26/13=2
Moving to Node #0,1,4
Current State: 94:[47, 2], Operations: ['73-47=26', '26/13=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | sum_heuristic |
[
83,
97,
66,
1
] | 80 | [
"97-83=14",
"66*1=66",
"14+66=80"
] | Current State: 80:[83, 97, 66, 1], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [66, 1, 14]
Generated Node #2: [66, 1, 14] from Operation: 97-83=14
Current State: 80:[66, 1, 14], Operations: ['97-83=14']
Exploring Operation: 66*1=66, Resulting Numbers: [14, 66]
Generated Node #3: [14, 66] from Operation: 66*1=66
Current State: 80:[14, 66], Operations: ['97-83=14', '66*1=66']
Exploring Operation: 14+66=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[83, 97, 66, 1], Operations: []
Exploring Operation: 97-66=31, Resulting Numbers: [83, 1, 31]
Generated Node #0,0: 80:[83, 1, 31] Operation: 97-66=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[83, 1, 31], Operations: ['97-66=31']
Exploring Operation: 83-1=82, Resulting Numbers: [31, 82]
Generated Node #0,0,0: 80:[31, 82] Operation: 83-1=82
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[31, 82], Operations: ['97-66=31', '83-1=82']
Exploring Operation: 82-31=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_1 | mult_heuristic |
[
7,
55,
17,
26
] | 38 | [
"7*17=119",
"55+26=81",
"119-81=38"
] | Current State: 38:[7, 55, 17, 26], Operations: []
Exploring Operation: 7*17=119, Resulting Numbers: [55, 26, 119]
Generated Node #2: [55, 26, 119] from Operation: 7*17=119
Current State: 38:[55, 26, 119], Operations: ['7*17=119']
Exploring Operation: 55+26=81, Resulting Numbers: [119, 81]
Generated Node #3: [119, 81] from Operation: 55+26=81
Current State: 38:[119, 81], Operations: ['7*17=119', '55+26=81']
Exploring Operation: 119-81=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[7, 55, 17, 26], Operations: []
Exploring Operation: 55-26=29, Resulting Numbers: [7, 17, 29]
Generated Node #0,0: 38:[7, 17, 29] Operation: 55-26=29
Exploring Operation: 55-17=38, Resulting Numbers: [7, 26, 38]
Generated Node #0,1: 38:[7, 26, 38] Operation: 55-17=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[7, 26, 38], Operations: ['55-17=38']
Exploring Operation: 26-7=19, Resulting Numbers: [38, 19]
Generated Node #0,1,0: 38:[38, 19] Operation: 26-7=19
Exploring Operation: 7+26=33, Resulting Numbers: [38, 33]
Generated Node #0,1,1: 38:[38, 33] Operation: 7+26=33
Moving to Node #0,1,0
Current State: 38:[38, 19], Operations: ['55-17=38', '26-7=19']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,38 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[38, 33], Operations: ['55-17=38', '7+26=33']
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[7, 17, 29], Operations: ['55-26=29']
Exploring Operation: 7+29=36, Resulting Numbers: [17, 36]
Generated Node #0,0,0: 38:[17, 36] Operation: 7+29=36
Exploring Operation: 29-7=22, Resulting Numbers: [17, 22]
Generated Node #0,0,1: 38:[17, 22] Operation: 29-7=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[17, 36], Operations: ['55-26=29', '7+29=36']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,38 unequal: No Solution
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 38:[17, 22], Operations: ['55-26=29', '29-7=22']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
76,
68,
90,
68
] | 15 | [
"90-76=14",
"68/68=1",
"14+1=15"
] | Current State: 15:[76, 68, 90, 68], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [68, 68, 14]
Generated Node #2: [68, 68, 14] from Operation: 90-76=14
Current State: 15:[68, 68, 14], Operations: ['90-76=14']
Exploring Operation: 68/68=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 68/68=1
Current State: 15:[14, 1], Operations: ['90-76=14', '68/68=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[76, 68, 90, 68], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [68, 68, 14]
Generated Node #0,0: 15:[68, 68, 14] Operation: 90-76=14
Exploring Operation: 90-68=22, Resulting Numbers: [76, 68, 22]
Generated Node #0,1: 15:[76, 68, 22] Operation: 90-68=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[68, 68, 14], Operations: ['90-76=14']
Exploring Operation: 68-68=0, Resulting Numbers: [14, 0]
Generated Node #0,0,0: 15:[14, 0] Operation: 68-68=0
Exploring Operation: 68/68=1, Resulting Numbers: [14, 1]
Generated Node #0,0,1: 15:[14, 1] Operation: 68/68=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[14, 1], Operations: ['90-76=14', '68/68=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[76, 68, 90, 68], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [68, 68, 14]
Generated Node #0,0: 15:[68, 68, 14] Operation: 90-76=14
Moving to Node #0,0
Current State: 15:[68, 68, 14], Operations: ['90-76=14']
Exploring Operation: 68/68=1, Resulting Numbers: [14, 1]
Generated Node #0,0,1: 15:[14, 1] Operation: 68/68=1
Moving to Node #0,0,1
Current State: 15:[14, 1], Operations: ['90-76=14', '68/68=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
53,
5,
49,
21
] | 30 | [
"53+5=58",
"49-21=28",
"58-28=30"
] | Current State: 30:[53, 5, 49, 21], Operations: []
Exploring Operation: 53+5=58, Resulting Numbers: [49, 21, 58]
Generated Node #2: [49, 21, 58] from Operation: 53+5=58
Current State: 30:[49, 21, 58], Operations: ['53+5=58']
Exploring Operation: 49-21=28, Resulting Numbers: [58, 28]
Generated Node #3: [58, 28] from Operation: 49-21=28
Current State: 30:[58, 28], Operations: ['53+5=58', '49-21=28']
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[53, 5, 49, 21], Operations: []
Exploring Operation: 53-21=32, Resulting Numbers: [5, 49, 32]
Generated Node #0,0: 30:[5, 49, 32] Operation: 53-21=32
Exploring Operation: 49-21=28, Resulting Numbers: [53, 5, 28]
Generated Node #0,1: 30:[53, 5, 28] Operation: 49-21=28
Exploring Operation: 53-49=4, Resulting Numbers: [5, 21, 4]
Generated Node #0,2: 30:[5, 21, 4] Operation: 53-49=4
Moving to Node #0,2
Current State: 30:[5, 21, 4], Operations: ['53-49=4']
Exploring Operation: 5+21=26, Resulting Numbers: [4, 26]
Generated Node #0,2,0: 30:[4, 26] Operation: 5+21=26
Exploring Operation: 21-4=17, Resulting Numbers: [5, 17]
Generated Node #0,2,1: 30:[5, 17] Operation: 21-4=17
Exploring Operation: 21-5=16, Resulting Numbers: [4, 16]
Generated Node #0,2,2: 30:[4, 16] Operation: 21-5=16
Moving to Node #0,0
Current State: 30:[5, 49, 32], Operations: ['53-21=32']
Exploring Operation: 32-5=27, Resulting Numbers: [49, 27]
Generated Node #0,0,0: 30:[49, 27] Operation: 32-5=27
Exploring Operation: 49-5=44, Resulting Numbers: [32, 44]
Generated Node #0,0,1: 30:[32, 44] Operation: 49-5=44
Exploring Operation: 49-32=17, Resulting Numbers: [5, 17]
Generated Node #0,0,2: 30:[5, 17] Operation: 49-32=17
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[5, 17], Operations: ['53-21=32', '49-32=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,30 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[32, 44], Operations: ['53-21=32', '49-5=44']
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,30 unequal: No Solution
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[49, 27], Operations: ['53-21=32', '32-5=27']
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,30 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,30 unequal: No Solution
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 30:[53, 5, 28], Operations: ['49-21=28']
Exploring Operation: 5+28=33, Resulting Numbers: [53, 33]
Generated Node #0,1,0: 30:[53, 33] Operation: 5+28=33
Exploring Operation: 53-5=48, Resulting Numbers: [28, 48]
Generated Node #0,1,1: 30:[28, 48] Operation: 53-5=48
Exploring Operation: 53-28=25, Resulting Numbers: [5, 25]
Generated Node #0,1,2: 30:[5, 25] Operation: 53-28=25
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 30:[5, 25], Operations: ['49-21=28', '53-28=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[53, 5, 49, 21], Operations: []
Exploring Operation: 49-21=28, Resulting Numbers: [53, 5, 28]
Generated Node #0,1: 30:[53, 5, 28] Operation: 49-21=28
Moving to Node #0,1
Current State: 30:[53, 5, 28], Operations: ['49-21=28']
Exploring Operation: 53-28=25, Resulting Numbers: [5, 25]
Generated Node #0,1,2: 30:[5, 25] Operation: 53-28=25
Moving to Node #0,1,2
Current State: 30:[5, 25], Operations: ['49-21=28', '53-28=25']
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
5,
72,
36,
40
] | 71 | [
"72-5=67",
"40-36=4",
"67+4=71"
] | Current State: 71:[5, 72, 36, 40], Operations: []
Exploring Operation: 72-5=67, Resulting Numbers: [36, 40, 67]
Generated Node #2: [36, 40, 67] from Operation: 72-5=67
Current State: 71:[36, 40, 67], Operations: ['72-5=67']
Exploring Operation: 40-36=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 40-36=4
Current State: 71:[67, 4], Operations: ['72-5=67', '40-36=4']
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[5, 72, 36, 40], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [72, 40, 41]
Generated Node #0,0: 71:[72, 40, 41] Operation: 5+36=41
Exploring Operation: 5+40=45, Resulting Numbers: [72, 36, 45]
Generated Node #0,1: 71:[72, 36, 45] Operation: 5+40=45
Exploring Operation: 72-5=67, Resulting Numbers: [36, 40, 67]
Generated Node #0,2: 71:[36, 40, 67] Operation: 72-5=67
Moving to Node #0,0
Current State: 71:[72, 40, 41], Operations: ['5+36=41']
Exploring Operation: 72-40=32, Resulting Numbers: [41, 32]
Generated Node #0,0,0: 71:[41, 32] Operation: 72-40=32
Exploring Operation: 40+41=81, Resulting Numbers: [72, 81]
Generated Node #0,0,1: 71:[72, 81] Operation: 40+41=81
Exploring Operation: 72+40=112, Resulting Numbers: [41, 112]
Generated Node #0,0,2: 71:[41, 112] Operation: 72+40=112
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[72, 81], Operations: ['5+36=41', '40+41=81']
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 72+81=153, Resulting Numbers: [153]
153,71 unequal: No Solution
Exploring Operation: 72*81=5832, Resulting Numbers: [5832]
5832,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[41, 32], Operations: ['5+36=41', '72-40=32']
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,71 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[41, 112], Operations: ['5+36=41', '72+40=112']
Exploring Operation: 41+112=153, Resulting Numbers: [153]
153,71 unequal: No Solution
Exploring Operation: 41*112=4592, Resulting Numbers: [4592]
4592,71 unequal: No Solution
Exploring Operation: 112-41=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[5, 72, 36, 40], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [72, 40, 41]
Generated Node #0,0: 71:[72, 40, 41] Operation: 5+36=41
Moving to Node #0,0
Current State: 71:[72, 40, 41], Operations: ['5+36=41']
Exploring Operation: 72+40=112, Resulting Numbers: [41, 112]
Generated Node #0,0,2: 71:[41, 112] Operation: 72+40=112
Moving to Node #0,0,2
Current State: 71:[41, 112], Operations: ['5+36=41', '72+40=112']
Exploring Operation: 112-41=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
60,
45,
70,
44
] | 37 | [
"45*44=1980",
"1980/60=33",
"70-33=37"
] | Current State: 37:[60, 45, 70, 44], Operations: []
Exploring Operation: 45*44=1980, Resulting Numbers: [60, 70, 1980]
Generated Node #2: [60, 70, 1980] from Operation: 45*44=1980
Current State: 37:[60, 70, 1980], Operations: ['45*44=1980']
Exploring Operation: 1980/60=33, Resulting Numbers: [70, 33]
Generated Node #3: [70, 33] from Operation: 1980/60=33
Current State: 37:[70, 33], Operations: ['45*44=1980', '1980/60=33']
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[60, 45, 70, 44], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [45, 70, 16]
Generated Node #0,0: 37:[45, 70, 16] Operation: 60-44=16
Exploring Operation: 70-60=10, Resulting Numbers: [45, 44, 10]
Generated Node #0,1: 37:[45, 44, 10] Operation: 70-60=10
Exploring Operation: 70-45=25, Resulting Numbers: [60, 44, 25]
Generated Node #0,2: 37:[60, 44, 25] Operation: 70-45=25
Exploring Operation: 60-45=15, Resulting Numbers: [70, 44, 15]
Generated Node #0,3: 37:[70, 44, 15] Operation: 60-45=15
Exploring Operation: 70-44=26, Resulting Numbers: [60, 45, 26]
Generated Node #0,4: 37:[60, 45, 26] Operation: 70-44=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[45, 44, 10], Operations: ['70-60=10']
Exploring Operation: 44-10=34, Resulting Numbers: [45, 34]
Generated Node #0,1,0: 37:[45, 34] Operation: 44-10=34
Exploring Operation: 45+10=55, Resulting Numbers: [44, 55]
Generated Node #0,1,1: 37:[44, 55] Operation: 45+10=55
Exploring Operation: 44+10=54, Resulting Numbers: [45, 54]
Generated Node #0,1,2: 37:[45, 54] Operation: 44+10=54
Exploring Operation: 45-10=35, Resulting Numbers: [44, 35]
Generated Node #0,1,3: 37:[44, 35] Operation: 45-10=35
Exploring Operation: 45-44=1, Resulting Numbers: [10, 1]
Generated Node #0,1,4: 37:[10, 1] Operation: 45-44=1
Moving to Node #0,1,3
Current State: 37:[44, 35], Operations: ['70-60=10', '45-10=35']
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,37 unequal: No Solution
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[45, 34], Operations: ['70-60=10', '44-10=34']
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,37 unequal: No Solution
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[44, 55], Operations: ['70-60=10', '45+10=55']
Exploring Operation: 44*55=2420, Resulting Numbers: [2420]
2420,37 unequal: No Solution
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 44+55=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[45, 54], Operations: ['70-60=10', '44+10=54']
Exploring Operation: 45*54=2430, Resulting Numbers: [2430]
2430,37 unequal: No Solution
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 45+54=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Moving to Node #0,1,4
Current State: 37:[10, 1], Operations: ['70-60=10', '45-44=1']
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,37 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,37 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[60, 44, 25], Operations: ['70-45=25']
Exploring Operation: 60+25=85, Resulting Numbers: [44, 85]
Generated Node #0,2,0: 37:[44, 85] Operation: 60+25=85
Exploring Operation: 44+25=69, Resulting Numbers: [60, 69]
Generated Node #0,2,1: 37:[60, 69] Operation: 44+25=69
Exploring Operation: 60-25=35, Resulting Numbers: [44, 35]
Generated Node #0,2,2: 37:[44, 35] Operation: 60-25=35
Exploring Operation: 44-25=19, Resulting Numbers: [60, 19]
Generated Node #0,2,3: 37:[60, 19] Operation: 44-25=19
Exploring Operation: 60-44=16, Resulting Numbers: [25, 16]
Generated Node #0,2,4: 37:[25, 16] Operation: 60-44=16
Moving to Node #0,2,2
Current State: 37:[44, 35], Operations: ['70-45=25', '60-25=35']
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,37 unequal: No Solution
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,37 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Moving to Node #0,2,4
Current State: 37:[25, 16], Operations: ['70-45=25', '60-44=16']
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[60, 19], Operations: ['70-45=25', '44-25=19']
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,37 unequal: No Solution
Exploring Operation: 60*19=1140, Resulting Numbers: [1140]
1140,37 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[44, 85], Operations: ['70-45=25', '60+25=85']
Exploring Operation: 85-44=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 44*85=3740, Resulting Numbers: [3740]
3740,37 unequal: No Solution
Exploring Operation: 44+85=129, Resulting Numbers: [129]
129,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[60, 69], Operations: ['70-45=25', '44+25=69']
Exploring Operation: 60*69=4140, Resulting Numbers: [4140]
4140,37 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 60+69=129, Resulting Numbers: [129]
129,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 37:[60, 45, 26], Operations: ['70-44=26']
Exploring Operation: 60-26=34, Resulting Numbers: [45, 34]
Generated Node #0,4,0: 37:[45, 34] Operation: 60-26=34
Exploring Operation: 45-26=19, Resulting Numbers: [60, 19]
Generated Node #0,4,1: 37:[60, 19] Operation: 45-26=19
Exploring Operation: 60-45=15, Resulting Numbers: [26, 15]
Generated Node #0,4,2: 37:[26, 15] Operation: 60-45=15
Exploring Operation: 60+26=86, Resulting Numbers: [45, 86]
Generated Node #0,4,3: 37:[45, 86] Operation: 60+26=86
Exploring Operation: 45+26=71, Resulting Numbers: [60, 71]
Generated Node #0,4,4: 37:[60, 71] Operation: 45+26=71
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 37:[45, 34], Operations: ['70-44=26', '60-26=34']
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,37 unequal: No Solution
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,37 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 #0,4,2
Current State: 37:[26, 15], Operations: ['70-44=26', '60-45=15']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,37 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,37 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 #0,4,1
Current State: 37:[60, 19], Operations: ['70-44=26', '45-26=19']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,37 unequal: No Solution
Exploring Operation: 60*19=1140, Resulting Numbers: [1140]
1140,37 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 #0,4,3
Current State: 37:[45, 86], Operations: ['70-44=26', '60+26=86']
Exploring Operation: 86-45=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 45*86=3870, Resulting Numbers: [3870]
3870,37 unequal: No Solution
Exploring Operation: 45+86=131, Resulting Numbers: [131]
131,37 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 #0,4,4
Current State: 37:[60, 71], Operations: ['70-44=26', '45+26=71']
Exploring Operation: 60+71=131, Resulting Numbers: [131]
131,37 unequal: No Solution
Exploring Operation: 71-60=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 60*71=4260, Resulting Numbers: [4260]
4260,37 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: 37:[45, 70, 16], Operations: ['60-44=16']
Exploring Operation: 70-45=25, Resulting Numbers: [16, 25]
Generated Node #0,0,0: 37:[16, 25] Operation: 70-45=25
Exploring Operation: 70-16=54, Resulting Numbers: [45, 54]
Generated Node #0,0,1: 37:[45, 54] Operation: 70-16=54
Exploring Operation: 45+16=61, Resulting Numbers: [70, 61]
Generated Node #0,0,2: 37:[70, 61] Operation: 45+16=61
Exploring Operation: 70+16=86, Resulting Numbers: [45, 86]
Generated Node #0,0,3: 37:[45, 86] Operation: 70+16=86
Exploring Operation: 45-16=29, Resulting Numbers: [70, 29]
Generated Node #0,0,4: 37:[70, 29] Operation: 45-16=29
Moving to Node #0,0,1
Current State: 37:[45, 54], Operations: ['60-44=16', '70-16=54']
Exploring Operation: 45+54=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Exploring Operation: 45*54=2430, Resulting Numbers: [2430]
2430,37 unequal: No Solution
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[16, 25], Operations: ['60-44=16', '70-45=25']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 16*25=400, Resulting Numbers: [400]
400,37 unequal: No Solution
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Moving to Node #0,0,4
Current State: 37:[70, 29], Operations: ['60-44=16', '45-16=29']
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 70+29=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Exploring Operation: 70*29=2030, Resulting Numbers: [2030]
2030,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[70, 61], Operations: ['60-44=16', '45+16=61']
Exploring Operation: 70*61=4270, Resulting Numbers: [4270]
4270,37 unequal: No Solution
Exploring Operation: 70+61=131, Resulting Numbers: [131]
131,37 unequal: No Solution
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[45, 86], Operations: ['60-44=16', '70+16=86']
Exploring Operation: 45+86=131, Resulting Numbers: [131]
131,37 unequal: No Solution
Exploring Operation: 45*86=3870, Resulting Numbers: [3870]
3870,37 unequal: No Solution
Exploring Operation: 86-45=41, Resulting Numbers: [41]
41,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[70, 44, 15], Operations: ['60-45=15']
Exploring Operation: 70-15=55, Resulting Numbers: [44, 55]
Generated Node #0,3,0: 37:[44, 55] Operation: 70-15=55
Exploring Operation: 70-44=26, Resulting Numbers: [15, 26]
Generated Node #0,3,1: 37:[15, 26] Operation: 70-44=26
Exploring Operation: 70+15=85, Resulting Numbers: [44, 85]
Generated Node #0,3,2: 37:[44, 85] Operation: 70+15=85
Exploring Operation: 44+15=59, Resulting Numbers: [70, 59]
Generated Node #0,3,3: 37:[70, 59] Operation: 44+15=59
Exploring Operation: 44-15=29, Resulting Numbers: [70, 29]
Generated Node #0,3,4: 37:[70, 29] Operation: 44-15=29
Moving to Node #0,3,0
Current State: 37:[44, 55], Operations: ['60-45=15', '70-15=55']
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 44*55=2420, Resulting Numbers: [2420]
2420,37 unequal: No Solution
Exploring Operation: 44+55=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[15, 26], Operations: ['60-45=15', '70-44=26']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 15*26=390, Resulting Numbers: [390]
390,37 unequal: No Solution
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Moving to Node #0,3,4
Current State: 37:[70, 29], Operations: ['60-45=15', '44-15=29']
Exploring Operation: 70*29=2030, Resulting Numbers: [2030]
2030,37 unequal: No Solution
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 70+29=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Moving to Node #0,3,2
Current State: 37:[44, 85], Operations: ['60-45=15', '70+15=85']
Exploring Operation: 85-44=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 44+85=129, Resulting Numbers: [129]
129,37 unequal: No Solution
Exploring Operation: 44*85=3740, Resulting Numbers: [3740]
3740,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[70, 59], Operations: ['60-45=15', '44+15=59']
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 70+59=129, Resulting Numbers: [129]
129,37 unequal: No Solution
Exploring Operation: 70*59=4130, Resulting Numbers: [4130]
4130,37 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 |
[
49,
47,
39,
75
] | 38 | [
"49-47=2",
"75-39=36",
"2+36=38"
] | Current State: 38:[49, 47, 39, 75], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [39, 75, 2]
Generated Node #2: [39, 75, 2] from Operation: 49-47=2
Current State: 38:[39, 75, 2], Operations: ['49-47=2']
Exploring Operation: 75-39=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 75-39=36
Current State: 38:[2, 36], Operations: ['49-47=2', '75-39=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[49, 47, 39, 75], Operations: []
Exploring Operation: 75-47=28, Resulting Numbers: [49, 39, 28]
Generated Node #0,0: 38:[49, 39, 28] Operation: 75-47=28
Exploring Operation: 75-49=26, Resulting Numbers: [47, 39, 26]
Generated Node #0,1: 38:[47, 39, 26] Operation: 75-49=26
Exploring Operation: 75-39=36, Resulting Numbers: [49, 47, 36]
Generated Node #0,2: 38:[49, 47, 36] Operation: 75-39=36
Moving to Node #0,1
Current State: 38:[47, 39, 26], Operations: ['75-49=26']
Exploring Operation: 47-39=8, Resulting Numbers: [26, 8]
Generated Node #0,1,0: 38:[26, 8] Operation: 47-39=8
Exploring Operation: 47-26=21, Resulting Numbers: [39, 21]
Generated Node #0,1,1: 38:[39, 21] Operation: 47-26=21
Exploring Operation: 39-26=13, Resulting Numbers: [47, 13]
Generated Node #0,1,2: 38:[47, 13] Operation: 39-26=13
Moving to Node #0,0
Current State: 38:[49, 39, 28], Operations: ['75-47=28']
Exploring Operation: 39-28=11, Resulting Numbers: [49, 11]
Generated Node #0,0,0: 38:[49, 11] Operation: 39-28=11
Exploring Operation: 49-28=21, Resulting Numbers: [39, 21]
Generated Node #0,0,1: 38:[39, 21] Operation: 49-28=21
Exploring Operation: 49-39=10, Resulting Numbers: [28, 10]
Generated Node #0,0,2: 38:[28, 10] Operation: 49-39=10
Moving to Node #0,2
Current State: 38:[49, 47, 36], Operations: ['75-39=36']
Exploring Operation: 49-36=13, Resulting Numbers: [47, 13]
Generated Node #0,2,0: 38:[47, 13] Operation: 49-36=13
Exploring Operation: 47-36=11, Resulting Numbers: [49, 11]
Generated Node #0,2,1: 38:[49, 11] Operation: 47-36=11
Exploring Operation: 49-47=2, Resulting Numbers: [36, 2]
Generated Node #0,2,2: 38:[36, 2] Operation: 49-47=2
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 38:[36, 2], Operations: ['75-39=36', '49-47=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[49, 47, 39, 75], Operations: []
Exploring Operation: 75-39=36, Resulting Numbers: [49, 47, 36]
Generated Node #0,2: 38:[49, 47, 36] Operation: 75-39=36
Moving to Node #0,2
Current State: 38:[49, 47, 36], Operations: ['75-39=36']
Exploring Operation: 49-47=2, Resulting Numbers: [36, 2]
Generated Node #0,2,2: 38:[36, 2] Operation: 49-47=2
Moving to Node #0,2,2
Current State: 38:[36, 2], Operations: ['75-39=36', '49-47=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
1,
77,
3,
91
] | 42 | [
"1*77=77",
"91-77=14",
"3*14=42"
] | Current State: 42:[1, 77, 3, 91], Operations: []
Exploring Operation: 1*77=77, Resulting Numbers: [3, 91, 77]
Generated Node #2: [3, 91, 77] from Operation: 1*77=77
Current State: 42:[3, 91, 77], Operations: ['1*77=77']
Exploring Operation: 91-77=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 91-77=14
Current State: 42:[3, 14], Operations: ['1*77=77', '91-77=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[1, 77, 3, 91], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [1, 3, 14]
Generated Node #0,0: 42:[1, 3, 14] Operation: 91-77=14
Exploring Operation: 77-3=74, Resulting Numbers: [1, 91, 74]
Generated Node #0,1: 42:[1, 91, 74] Operation: 77-3=74
Moving to Node #0,0
Current State: 42:[1, 3, 14], Operations: ['91-77=14']
Exploring Operation: 1*3=3, Resulting Numbers: [14, 3]
Generated Node #0,0,0: 42:[14, 3] Operation: 1*3=3
Exploring Operation: 3-1=2, Resulting Numbers: [14, 2]
Generated Node #0,0,1: 42:[14, 2] Operation: 3-1=2
Moving to Node #0,1
Current State: 42:[1, 91, 74], Operations: ['77-3=74']
Exploring Operation: 91-74=17, Resulting Numbers: [1, 17]
Generated Node #0,1,0: 42:[1, 17] Operation: 91-74=17
Exploring Operation: 91-1=90, Resulting Numbers: [74, 90]
Generated Node #0,1,1: 42:[74, 90] Operation: 91-1=90
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[1, 17], Operations: ['77-3=74', '91-74=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[74, 90], Operations: ['77-3=74', '91-1=90']
Exploring Operation: 90-74=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 74+90=164, Resulting Numbers: [164]
164,42 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: 42:[14, 3], Operations: ['91-77=14', '1*3=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[1, 77, 3, 91], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [1, 3, 14]
Generated Node #0,0: 42:[1, 3, 14] Operation: 91-77=14
Moving to Node #0,0
Current State: 42:[1, 3, 14], Operations: ['91-77=14']
Exploring Operation: 1*3=3, Resulting Numbers: [14, 3]
Generated Node #0,0,0: 42:[14, 3] Operation: 1*3=3
Moving to Node #0,0,0
Current State: 42:[14, 3], Operations: ['91-77=14', '1*3=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
43,
86,
85,
96
] | 22 | [
"86/43=2",
"96-85=11",
"2*11=22"
] | Current State: 22:[43, 86, 85, 96], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [85, 96, 2]
Generated Node #2: [85, 96, 2] from Operation: 86/43=2
Current State: 22:[85, 96, 2], Operations: ['86/43=2']
Exploring Operation: 96-85=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 96-85=11
Current State: 22:[2, 11], Operations: ['86/43=2', '96-85=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[43, 86, 85, 96], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [43, 86, 11]
Generated Node #0,0: 22:[43, 86, 11] Operation: 96-85=11
Exploring Operation: 86/43=2, Resulting Numbers: [85, 96, 2]
Generated Node #0,1: 22:[85, 96, 2] Operation: 86/43=2
Exploring Operation: 96-86=10, Resulting Numbers: [43, 85, 10]
Generated Node #0,2: 22:[43, 85, 10] Operation: 96-86=10
Exploring Operation: 86-43=43, Resulting Numbers: [85, 96, 43]
Generated Node #0,3: 22:[85, 96, 43] Operation: 86-43=43
Exploring Operation: 86-85=1, Resulting Numbers: [43, 96, 1]
Generated Node #0,4: 22:[43, 96, 1] Operation: 86-85=1
Moving to Node #0,0
Current State: 22:[43, 86, 11], Operations: ['96-85=11']
Exploring Operation: 86-11=75, Resulting Numbers: [43, 75]
Generated Node #0,0,0: 22:[43, 75] Operation: 86-11=75
Exploring Operation: 43-11=32, Resulting Numbers: [86, 32]
Generated Node #0,0,1: 22:[86, 32] Operation: 43-11=32
Exploring Operation: 86-43=43, Resulting Numbers: [11, 43]
Generated Node #0,0,2: 22:[11, 43] Operation: 86-43=43
Exploring Operation: 43+11=54, Resulting Numbers: [86, 54]
Generated Node #0,0,3: 22:[86, 54] Operation: 43+11=54
Exploring Operation: 86/43=2, Resulting Numbers: [11, 2]
Generated Node #0,0,4: 22:[11, 2] Operation: 86/43=2
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 22:[11, 2], Operations: ['96-85=11', '86/43=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,22 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,22 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[43, 86, 85, 96], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [43, 86, 11]
Generated Node #0,0: 22:[43, 86, 11] Operation: 96-85=11
Moving to Node #0,0
Current State: 22:[43, 86, 11], Operations: ['96-85=11']
Exploring Operation: 86/43=2, Resulting Numbers: [11, 2]
Generated Node #0,0,4: 22:[11, 2] Operation: 86/43=2
Moving to Node #0,0,4
Current State: 22:[11, 2], Operations: ['96-85=11', '86/43=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
84,
97,
45,
47
] | 79 | [
"97-84=13",
"45+47=92",
"92-13=79"
] | Current State: 79:[84, 97, 45, 47], Operations: []
Exploring Operation: 97-84=13, Resulting Numbers: [45, 47, 13]
Generated Node #2: [45, 47, 13] from Operation: 97-84=13
Current State: 79:[45, 47, 13], Operations: ['97-84=13']
Exploring Operation: 45+47=92, Resulting Numbers: [13, 92]
Generated Node #3: [13, 92] from Operation: 45+47=92
Current State: 79:[13, 92], Operations: ['97-84=13', '45+47=92']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[84, 97, 45, 47], Operations: []
Exploring Operation: 97-45=52, Resulting Numbers: [84, 47, 52]
Generated Node #0,0: 79:[84, 47, 52] Operation: 97-45=52
Exploring Operation: 45+47=92, Resulting Numbers: [84, 97, 92]
Generated Node #0,1: 79:[84, 97, 92] Operation: 45+47=92
Moving to Node #0,1
Current State: 79:[84, 97, 92], Operations: ['45+47=92']
Exploring Operation: 97-92=5, Resulting Numbers: [84, 5]
Generated Node #0,1,0: 79:[84, 5] Operation: 97-92=5
Exploring Operation: 97-84=13, Resulting Numbers: [92, 13]
Generated Node #0,1,1: 79:[92, 13] Operation: 97-84=13
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[84, 5], Operations: ['45+47=92', '97-92=5']
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,79 unequal: No Solution
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[84, 97, 45, 47], Operations: []
Exploring Operation: 45+47=92, Resulting Numbers: [84, 97, 92]
Generated Node #0,1: 79:[84, 97, 92] Operation: 45+47=92
Moving to Node #0,1
Current State: 79:[84, 97, 92], Operations: ['45+47=92']
Exploring Operation: 97-92=5, Resulting Numbers: [84, 5]
Generated Node #0,1,0: 79:[84, 5] Operation: 97-92=5
Moving to Node #0,1,0
Current State: 79:[84, 5], Operations: ['45+47=92', '97-92=5']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
41,
46,
47,
91
] | 39 | [
"46-41=5",
"91-47=44",
"44-5=39"
] | Current State: 39:[41, 46, 47, 91], Operations: []
Exploring Operation: 46-41=5, Resulting Numbers: [47, 91, 5]
Generated Node #2: [47, 91, 5] from Operation: 46-41=5
Current State: 39:[47, 91, 5], Operations: ['46-41=5']
Exploring Operation: 91-47=44, Resulting Numbers: [5, 44]
Generated Node #3: [5, 44] from Operation: 91-47=44
Current State: 39:[5, 44], Operations: ['46-41=5', '91-47=44']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[41, 46, 47, 91], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [41, 91, 1]
Generated Node #0,0: 39:[41, 91, 1] Operation: 47-46=1
Exploring Operation: 91-46=45, Resulting Numbers: [41, 47, 45]
Generated Node #0,1: 39:[41, 47, 45] Operation: 91-46=45
Exploring Operation: 91-41=50, Resulting Numbers: [46, 47, 50]
Generated Node #0,2: 39:[46, 47, 50] Operation: 91-41=50
Exploring Operation: 46-41=5, Resulting Numbers: [47, 91, 5]
Generated Node #0,3: 39:[47, 91, 5] Operation: 46-41=5
Exploring Operation: 91-47=44, Resulting Numbers: [41, 46, 44]
Generated Node #0,4: 39:[41, 46, 44] Operation: 91-47=44
Start Sub Search at level 1: Moving to Node #0,4
Current State: 39:[41, 46, 44], Operations: ['91-47=44']
Exploring Operation: 41+44=85, Resulting Numbers: [46, 85]
Generated Node #0,4,0: 39:[46, 85] Operation: 41+44=85
Exploring Operation: 46-41=5, Resulting Numbers: [44, 5]
Generated Node #0,4,1: 39:[44, 5] Operation: 46-41=5
Exploring Operation: 41+46=87, Resulting Numbers: [44, 87]
Generated Node #0,4,2: 39:[44, 87] Operation: 41+46=87
Exploring Operation: 44-41=3, Resulting Numbers: [46, 3]
Generated Node #0,4,3: 39:[46, 3] Operation: 44-41=3
Exploring Operation: 46-44=2, Resulting Numbers: [41, 2]
Generated Node #0,4,4: 39:[41, 2] Operation: 46-44=2
Moving to Node #0,4,4
Current State: 39:[41, 2], Operations: ['91-47=44', '46-44=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,39 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[41, 46, 47, 91], Operations: []
Exploring Operation: 91-47=44, Resulting Numbers: [41, 46, 44]
Generated Node #0,4: 39:[41, 46, 44] Operation: 91-47=44
Moving to Node #0,4
Current State: 39:[41, 46, 44], Operations: ['91-47=44']
Exploring Operation: 46-44=2, Resulting Numbers: [41, 2]
Generated Node #0,4,4: 39:[41, 2] Operation: 46-44=2
Moving to Node #0,4,4
Current State: 39:[41, 2], Operations: ['91-47=44', '46-44=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
26,
15,
24,
91
] | 26 | [
"26+15=41",
"91-24=67",
"67-41=26"
] | Current State: 26:[26, 15, 24, 91], Operations: []
Exploring Operation: 26+15=41, Resulting Numbers: [24, 91, 41]
Generated Node #2: [24, 91, 41] from Operation: 26+15=41
Current State: 26:[24, 91, 41], Operations: ['26+15=41']
Exploring Operation: 91-24=67, Resulting Numbers: [41, 67]
Generated Node #3: [41, 67] from Operation: 91-24=67
Current State: 26:[41, 67], Operations: ['26+15=41', '91-24=67']
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[26, 15, 24, 91], Operations: []
Exploring Operation: 26-15=11, Resulting Numbers: [24, 91, 11]
Generated Node #0,0: 26:[24, 91, 11] Operation: 26-15=11
Exploring Operation: 91-26=65, Resulting Numbers: [15, 24, 65]
Generated Node #0,1: 26:[15, 24, 65] Operation: 91-26=65
Exploring Operation: 91-24=67, Resulting Numbers: [26, 15, 67]
Generated Node #0,2: 26:[26, 15, 67] Operation: 91-24=67
Exploring Operation: 91-15=76, Resulting Numbers: [26, 24, 76]
Generated Node #0,3: 26:[26, 24, 76] Operation: 91-15=76
Exploring Operation: 26-24=2, Resulting Numbers: [15, 91, 2]
Generated Node #0,4: 26:[15, 91, 2] Operation: 26-24=2
Moving to Node #0,1
Current State: 26:[15, 24, 65], Operations: ['91-26=65']
Exploring Operation: 24-15=9, Resulting Numbers: [65, 9]
Generated Node #0,1,0: 26:[65, 9] Operation: 24-15=9
Exploring Operation: 65-15=50, Resulting Numbers: [24, 50]
Generated Node #0,1,1: 26:[24, 50] Operation: 65-15=50
Exploring Operation: 65-24=41, Resulting Numbers: [15, 41]
Generated Node #0,1,2: 26:[15, 41] Operation: 65-24=41
Exploring Operation: 15+65=80, Resulting Numbers: [24, 80]
Generated Node #0,1,3: 26:[24, 80] Operation: 15+65=80
Exploring Operation: 15+24=39, Resulting Numbers: [65, 39]
Generated Node #0,1,4: 26:[65, 39] Operation: 15+24=39
Moving to Node #0,2
Current State: 26:[26, 15, 67], Operations: ['91-24=67']
Exploring Operation: 67-15=52, Resulting Numbers: [26, 52]
Generated Node #0,2,0: 26:[26, 52] Operation: 67-15=52
Exploring Operation: 67-26=41, Resulting Numbers: [15, 41]
Generated Node #0,2,1: 26:[15, 41] Operation: 67-26=41
Exploring Operation: 15+67=82, Resulting Numbers: [26, 82]
Generated Node #0,2,2: 26:[26, 82] Operation: 15+67=82
Exploring Operation: 26+15=41, Resulting Numbers: [67, 41]
Generated Node #0,2,3: 26:[67, 41] Operation: 26+15=41
Exploring Operation: 26-15=11, Resulting Numbers: [67, 11]
Generated Node #0,2,4: 26:[67, 11] Operation: 26-15=11
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 26:[15, 41], Operations: ['91-24=67', '67-26=41']
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,26 unequal: No Solution
Exploring Operation: 15*41=615, Resulting Numbers: [615]
615,26 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[26, 15, 24, 91], Operations: []
Exploring Operation: 91-24=67, Resulting Numbers: [26, 15, 67]
Generated Node #0,2: 26:[26, 15, 67] Operation: 91-24=67
Moving to Node #0,2
Current State: 26:[26, 15, 67], Operations: ['91-24=67']
Exploring Operation: 67-26=41, Resulting Numbers: [15, 41]
Generated Node #0,2,1: 26:[15, 41] Operation: 67-26=41
Moving to Node #0,2,1
Current State: 26:[15, 41], Operations: ['91-24=67', '67-26=41']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
67,
30,
2,
16
] | 67 | [
"30/2=15",
"16-15=1",
"67*1=67"
] | Current State: 67:[67, 30, 2, 16], Operations: []
Exploring Operation: 30/2=15, Resulting Numbers: [67, 16, 15]
Generated Node #2: [67, 16, 15] from Operation: 30/2=15
Current State: 67:[67, 16, 15], Operations: ['30/2=15']
Exploring Operation: 16-15=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 16-15=1
Current State: 67:[67, 1], Operations: ['30/2=15', '16-15=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[67, 30, 2, 16], Operations: []
Exploring Operation: 30*2=60, Resulting Numbers: [67, 16, 60]
Generated Node #0,0: 67:[67, 16, 60] Operation: 30*2=60
Exploring Operation: 30+16=46, Resulting Numbers: [67, 2, 46]
Generated Node #0,1: 67:[67, 2, 46] Operation: 30+16=46
Exploring Operation: 2+16=18, Resulting Numbers: [67, 30, 18]
Generated Node #0,2: 67:[67, 30, 18] Operation: 2+16=18
Exploring Operation: 2*16=32, Resulting Numbers: [67, 30, 32]
Generated Node #0,3: 67:[67, 30, 32] Operation: 2*16=32
Exploring Operation: 30+2=32, Resulting Numbers: [67, 16, 32]
Generated Node #0,4: 67:[67, 16, 32] Operation: 30+2=32
Moving to Node #0,0
Current State: 67:[67, 16, 60], Operations: ['30*2=60']
Exploring Operation: 16+60=76, Resulting Numbers: [67, 76]
Generated Node #0,0,0: 67:[67, 76] Operation: 16+60=76
Exploring Operation: 67+16=83, Resulting Numbers: [60, 83]
Generated Node #0,0,1: 67:[60, 83] Operation: 67+16=83
Exploring Operation: 60-16=44, Resulting Numbers: [67, 44]
Generated Node #0,0,2: 67:[67, 44] Operation: 60-16=44
Exploring Operation: 67+60=127, Resulting Numbers: [16, 127]
Generated Node #0,0,3: 67:[16, 127] Operation: 67+60=127
Exploring Operation: 67-16=51, Resulting Numbers: [60, 51]
Generated Node #0,0,4: 67:[60, 51] Operation: 67-16=51
Moving to Node #0,3
Current State: 67:[67, 30, 32], Operations: ['2*16=32']
Exploring Operation: 67+30=97, Resulting Numbers: [32, 97]
Generated Node #0,3,0: 67:[32, 97] Operation: 67+30=97
Exploring Operation: 67+32=99, Resulting Numbers: [30, 99]
Generated Node #0,3,1: 67:[30, 99] Operation: 67+32=99
Exploring Operation: 30+32=62, Resulting Numbers: [67, 62]
Generated Node #0,3,2: 67:[67, 62] Operation: 30+32=62
Exploring Operation: 67-30=37, Resulting Numbers: [32, 37]
Generated Node #0,3,3: 67:[32, 37] Operation: 67-30=37
Exploring Operation: 32-30=2, Resulting Numbers: [67, 2]
Generated Node #0,3,4: 67:[67, 2] Operation: 32-30=2
Moving to Node #0,1
Current State: 67:[67, 2, 46], Operations: ['30+16=46']
Exploring Operation: 67+2=69, Resulting Numbers: [46, 69]
Generated Node #0,1,0: 67:[46, 69] Operation: 67+2=69
Exploring Operation: 46-2=44, Resulting Numbers: [67, 44]
Generated Node #0,1,1: 67:[67, 44] Operation: 46-2=44
Exploring Operation: 2*46=92, Resulting Numbers: [67, 92]
Generated Node #0,1,2: 67:[67, 92] Operation: 2*46=92
Exploring Operation: 67-2=65, Resulting Numbers: [46, 65]
Generated Node #0,1,3: 67:[46, 65] Operation: 67-2=65
Exploring Operation: 2+46=48, Resulting Numbers: [67, 48]
Generated Node #0,1,4: 67:[67, 48] Operation: 2+46=48
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 67:[67, 48], Operations: ['30+16=46', '2+46=48']
Exploring Operation: 67*48=3216, Resulting Numbers: [3216]
3216,67 unequal: No Solution
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 67+48=115, Resulting Numbers: [115]
115,67 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 #0,1,0
Current State: 67:[46, 69], Operations: ['30+16=46', '67+2=69']
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 46*69=3174, Resulting Numbers: [3174]
3174,67 unequal: No Solution
Exploring Operation: 46+69=115, Resulting Numbers: [115]
115,67 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:[67, 44], Operations: ['30+16=46', '46-2=44']
Exploring Operation: 67-44=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 67*44=2948, Resulting Numbers: [2948]
2948,67 unequal: No Solution
Exploring Operation: 67+44=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 #0,1,3
Current State: 67:[46, 65], Operations: ['30+16=46', '67-2=65']
Exploring Operation: 46*65=2990, Resulting Numbers: [2990]
2990,67 unequal: No Solution
Exploring Operation: 46+65=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Exploring Operation: 65-46=19, Resulting Numbers: [19]
19,67 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:[67, 92], Operations: ['30+16=46', '2*46=92']
Exploring Operation: 67*92=6164, Resulting Numbers: [6164]
6164,67 unequal: No Solution
Exploring Operation: 92-67=25, Resulting Numbers: [25]
25,67 unequal: No Solution
Exploring Operation: 67+92=159, Resulting Numbers: [159]
159,67 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: 67:[67, 30, 18], Operations: ['2+16=18']
Exploring Operation: 30+18=48, Resulting Numbers: [67, 48]
Generated Node #0,2,0: 67:[67, 48] Operation: 30+18=48
Exploring Operation: 30-18=12, Resulting Numbers: [67, 12]
Generated Node #0,2,1: 67:[67, 12] Operation: 30-18=12
Exploring Operation: 67-18=49, Resulting Numbers: [30, 49]
Generated Node #0,2,2: 67:[30, 49] Operation: 67-18=49
Exploring Operation: 67+30=97, Resulting Numbers: [18, 97]
Generated Node #0,2,3: 67:[18, 97] Operation: 67+30=97
Exploring Operation: 67+18=85, Resulting Numbers: [30, 85]
Generated Node #0,2,4: 67:[30, 85] Operation: 67+18=85
Moving to Node #0,4
Current State: 67:[67, 16, 32], Operations: ['30+2=32']
Exploring Operation: 32/16=2, Resulting Numbers: [67, 2]
Generated Node #0,4,0: 67:[67, 2] Operation: 32/16=2
Exploring Operation: 67+16=83, Resulting Numbers: [32, 83]
Generated Node #0,4,1: 67:[32, 83] Operation: 67+16=83
Exploring Operation: 67-16=51, Resulting Numbers: [32, 51]
Generated Node #0,4,2: 67:[32, 51] Operation: 67-16=51
Exploring Operation: 16+32=48, Resulting Numbers: [67, 48]
Generated Node #0,4,3: 67:[67, 48] Operation: 16+32=48
Exploring Operation: 32-16=16, Resulting Numbers: [67, 16]
Generated Node #0,4,4: 67:[67, 16] Operation: 32-16=16
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 67:[67, 48], Operations: ['30+2=32', '16+32=48']
Exploring Operation: 67*48=3216, Resulting Numbers: [3216]
3216,67 unequal: No Solution
Exploring Operation: 67+48=115, Resulting Numbers: [115]
115,67 unequal: No Solution
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,67 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 #0,4,1
Current State: 67:[32, 83], Operations: ['30+2=32', '67+16=83']
Exploring Operation: 32+83=115, Resulting Numbers: [115]
115,67 unequal: No Solution
Exploring Operation: 83-32=51, Resulting Numbers: [51]
51,67 unequal: No Solution
Exploring Operation: 32*83=2656, Resulting Numbers: [2656]
2656,67 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 #0,4,2
Current State: 67:[32, 51], Operations: ['30+2=32', '67-16=51']
Exploring Operation: 32+51=83, Resulting Numbers: [83]
83,67 unequal: No Solution
Exploring Operation: 32*51=1632, Resulting Numbers: [1632]
1632,67 unequal: No Solution
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,67 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:[67, 16], Operations: ['30+2=32', '32-16=16']
Exploring Operation: 67+16=83, Resulting Numbers: [83]
83,67 unequal: No Solution
Exploring Operation: 67*16=1072, Resulting Numbers: [1072]
1072,67 unequal: No Solution
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,67 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:[67, 2], Operations: ['30+2=32', '32/16=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,67 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: 67:[67, 62], Operations: ['2*16=32', '30+32=62']
Exploring Operation: 67*62=4154, Resulting Numbers: [4154]
4154,67 unequal: No Solution
Exploring Operation: 67+62=129, Resulting Numbers: [129]
129,67 unequal: No Solution
Exploring Operation: 67-62=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[67, 76], Operations: ['30*2=60', '16+60=76']
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,67 unequal: No Solution
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,67 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[67, 48], Operations: ['2+16=18', '30+18=48']
Exploring Operation: 67*48=3216, Resulting Numbers: [3216]
3216,67 unequal: No Solution
Exploring Operation: 67+48=115, Resulting Numbers: [115]
115,67 unequal: No Solution
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[67, 44], Operations: ['30*2=60', '60-16=44']
Exploring Operation: 67+44=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Exploring Operation: 67*44=2948, Resulting Numbers: [2948]
2948,67 unequal: No Solution
Exploring Operation: 67-44=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[60, 83], Operations: ['30*2=60', '67+16=83']
Exploring Operation: 83-60=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 60+83=143, Resulting Numbers: [143]
143,67 unequal: No Solution
Exploring Operation: 60*83=4980, Resulting Numbers: [4980]
4980,67 unequal: No Solution
Moving to Node #0,0,4
Current State: 67:[60, 51], Operations: ['30*2=60', '67-16=51']
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,67 unequal: No Solution
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,67 unequal: No Solution
Moving to Node #0,2,4
Current State: 67:[30, 85], Operations: ['2+16=18', '67+18=85']
Exploring Operation: 30+85=115, Resulting Numbers: [115]
115,67 unequal: No Solution
Exploring Operation: 30*85=2550, Resulting Numbers: [2550]
2550,67 unequal: No Solution
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[30, 49], Operations: ['2+16=18', '67-18=49']
Exploring Operation: 30*49=1470, Resulting Numbers: [1470]
1470,67 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[67, 12], Operations: ['2+16=18', '30-18=12']
Exploring Operation: 67+12=79, Resulting Numbers: [79]
79,67 unequal: No Solution
Exploring Operation: 67*12=804, Resulting Numbers: [804]
804,67 unequal: No Solution
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[32, 97], Operations: ['2*16=32', '67+30=97']
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 32+97=129, Resulting Numbers: [129]
129,67 unequal: No Solution
Exploring Operation: 32*97=3104, Resulting Numbers: [3104]
3104,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[32, 37], Operations: ['2*16=32', '67-30=37']
Exploring Operation: 32+37=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 32*37=1184, Resulting Numbers: [1184]
1184,67 unequal: No Solution
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Moving to Node #0,3,4
Current State: 67:[67, 2], Operations: ['2*16=32', '32-30=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,67 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[30, 99], Operations: ['2*16=32', '67+32=99']
Exploring Operation: 30+99=129, Resulting Numbers: [129]
129,67 unequal: No Solution
Exploring Operation: 99-30=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 30*99=2970, Resulting Numbers: [2970]
2970,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[18, 97], Operations: ['2+16=18', '67+30=97']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,67 unequal: No Solution
Exploring Operation: 18*97=1746, Resulting Numbers: [1746]
1746,67 unequal: No Solution
Exploring Operation: 18+97=115, Resulting Numbers: [115]
115,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[16, 127], Operations: ['30*2=60', '67+60=127']
Exploring Operation: 127-16=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Exploring Operation: 16+127=143, Resulting Numbers: [143]
143,67 unequal: No Solution
Exploring Operation: 16*127=2032, Resulting Numbers: [2032]
2032,67 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
4,
88,
39,
80
] | 81 | [
"88+80=168",
"168/4=42",
"39+42=81"
] | Current State: 81:[4, 88, 39, 80], Operations: []
Exploring Operation: 88+80=168, Resulting Numbers: [4, 39, 168]
Generated Node #2: [4, 39, 168] from Operation: 88+80=168
Current State: 81:[4, 39, 168], Operations: ['88+80=168']
Exploring Operation: 168/4=42, Resulting Numbers: [39, 42]
Generated Node #3: [39, 42] from Operation: 168/4=42
Current State: 81:[39, 42], Operations: ['88+80=168', '168/4=42']
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[4, 88, 39, 80], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [4, 39, 8]
Generated Node #0,0: 81:[4, 39, 8] Operation: 88-80=8
Exploring Operation: 88-4=84, Resulting Numbers: [39, 80, 84]
Generated Node #0,1: 81:[39, 80, 84] Operation: 88-4=84
Exploring Operation: 88/4=22, Resulting Numbers: [39, 80, 22]
Generated Node #0,2: 81:[39, 80, 22] Operation: 88/4=22
Exploring Operation: 39-4=35, Resulting Numbers: [88, 80, 35]
Generated Node #0,3: 81:[88, 80, 35] Operation: 39-4=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[4, 39, 8], Operations: ['88-80=8']
Exploring Operation: 39-8=31, Resulting Numbers: [4, 31]
Generated Node #0,0,0: 81:[4, 31] Operation: 39-8=31
Exploring Operation: 8/4=2, Resulting Numbers: [39, 2]
Generated Node #0,0,1: 81:[39, 2] Operation: 8/4=2
Exploring Operation: 39-4=35, Resulting Numbers: [8, 35]
Generated Node #0,0,2: 81:[8, 35] Operation: 39-4=35
Exploring Operation: 8-4=4, Resulting Numbers: [39, 4]
Generated Node #0,0,3: 81:[39, 4] Operation: 8-4=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[4, 31], Operations: ['88-80=8', '39-8=31']
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,81 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,81 unequal: No Solution
No 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: 81:[8, 35], Operations: ['88-80=8', '39-4=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 8*35=280, Resulting Numbers: [280]
280,81 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,81 unequal: No Solution
No 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: 81:[39, 2], Operations: ['88-80=8', '8/4=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,81 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,81 unequal: No Solution
No 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: 81:[39, 4], Operations: ['88-80=8', '8-4=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,81 unequal: No Solution
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,81 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: 81:[39, 80, 84], Operations: ['88-4=84']
Exploring Operation: 39+80=119, Resulting Numbers: [84, 119]
Generated Node #0,1,0: 81:[84, 119] Operation: 39+80=119
Exploring Operation: 84-80=4, Resulting Numbers: [39, 4]
Generated Node #0,1,1: 81:[39, 4] Operation: 84-80=4
Exploring Operation: 84-39=45, Resulting Numbers: [80, 45]
Generated Node #0,1,2: 81:[80, 45] Operation: 84-39=45
Exploring Operation: 80-39=41, Resulting Numbers: [84, 41]
Generated Node #0,1,3: 81:[84, 41] Operation: 80-39=41
Moving to Node #0,1,1
Current State: 81:[39, 4], Operations: ['88-4=84', '84-80=4']
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,81 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Moving to Node #0,1,3
Current State: 81:[84, 41], Operations: ['88-4=84', '80-39=41']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 84+41=125, Resulting Numbers: [125]
125,81 unequal: No Solution
Exploring Operation: 84*41=3444, Resulting Numbers: [3444]
3444,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[80, 45], Operations: ['88-4=84', '84-39=45']
Exploring Operation: 80*45=3600, Resulting Numbers: [3600]
3600,81 unequal: No Solution
Exploring Operation: 80+45=125, Resulting Numbers: [125]
125,81 unequal: No Solution
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[84, 119], Operations: ['88-4=84', '39+80=119']
Exploring Operation: 119-84=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 84+119=203, Resulting Numbers: [203]
203,81 unequal: No Solution
Exploring Operation: 84*119=9996, Resulting Numbers: [9996]
9996,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 81:[88, 80, 35], Operations: ['39-4=35']
Exploring Operation: 88-35=53, Resulting Numbers: [80, 53]
Generated Node #0,3,0: 81:[80, 53] Operation: 88-35=53
Exploring Operation: 80-35=45, Resulting Numbers: [88, 45]
Generated Node #0,3,1: 81:[88, 45] Operation: 80-35=45
Exploring Operation: 80+35=115, Resulting Numbers: [88, 115]
Generated Node #0,3,2: 81:[88, 115] Operation: 80+35=115
Exploring Operation: 88-80=8, Resulting Numbers: [35, 8]
Generated Node #0,3,3: 81:[35, 8] Operation: 88-80=8
Moving to Node #0,3,3
Current State: 81:[35, 8], Operations: ['39-4=35', '88-80=8']
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,81 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Moving to Node #0,3,1
Current State: 81:[88, 45], Operations: ['39-4=35', '80-35=45']
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 88*45=3960, Resulting Numbers: [3960]
3960,81 unequal: No Solution
Exploring Operation: 88+45=133, Resulting Numbers: [133]
133,81 unequal: No Solution
Moving to Node #0,3,0
Current State: 81:[80, 53], Operations: ['39-4=35', '88-35=53']
Exploring Operation: 80*53=4240, Resulting Numbers: [4240]
4240,81 unequal: No Solution
Exploring Operation: 80+53=133, Resulting Numbers: [133]
133,81 unequal: No Solution
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Moving to Node #0,3,2
Current State: 81:[88, 115], Operations: ['39-4=35', '80+35=115']
Exploring Operation: 88*115=10120, Resulting Numbers: [10120]
10120,81 unequal: No Solution
Exploring Operation: 115-88=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 88+115=203, Resulting Numbers: [203]
203,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[39, 80, 22], Operations: ['88/4=22']
Exploring Operation: 80-39=41, Resulting Numbers: [22, 41]
Generated Node #0,2,0: 81:[22, 41] Operation: 80-39=41
Exploring Operation: 39+22=61, Resulting Numbers: [80, 61]
Generated Node #0,2,1: 81:[80, 61] Operation: 39+22=61
Exploring Operation: 80+22=102, Resulting Numbers: [39, 102]
Generated Node #0,2,2: 81:[39, 102] Operation: 80+22=102
Exploring Operation: 39-22=17, Resulting Numbers: [80, 17]
Generated Node #0,2,3: 81:[80, 17] Operation: 39-22=17
Moving to Node #0,2,3
Current State: 81:[80, 17], Operations: ['88/4=22', '39-22=17']
Exploring Operation: 80*17=1360, Resulting Numbers: [1360]
1360,81 unequal: No Solution
Exploring Operation: 80+17=97, Resulting Numbers: [97]
97,81 unequal: No Solution
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[22, 41], Operations: ['88/4=22', '80-39=41']
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,81 unequal: No Solution
Exploring Operation: 22*41=902, Resulting Numbers: [902]
902,81 unequal: No Solution
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[80, 61], Operations: ['88/4=22', '39+22=61']
Exploring Operation: 80-61=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Exploring Operation: 80+61=141, Resulting Numbers: [141]
141,81 unequal: No Solution
Exploring Operation: 80*61=4880, Resulting Numbers: [4880]
4880,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[39, 102], Operations: ['88/4=22', '80+22=102']
Exploring Operation: 39*102=3978, Resulting Numbers: [3978]
3978,81 unequal: No Solution
Exploring Operation: 102-39=63, Resulting Numbers: [63]
63,81 unequal: No Solution
Exploring Operation: 39+102=141, Resulting Numbers: [141]
141,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
97,
74,
74,
27
] | 69 | [
"97-27=70",
"74/74=1",
"70-1=69"
] | Current State: 69:[97, 74, 74, 27], Operations: []
Exploring Operation: 97-27=70, Resulting Numbers: [74, 74, 70]
Generated Node #2: [74, 74, 70] from Operation: 97-27=70
Current State: 69:[74, 74, 70], Operations: ['97-27=70']
Exploring Operation: 74/74=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 74/74=1
Current State: 69:[70, 1], Operations: ['97-27=70', '74/74=1']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[97, 74, 74, 27], Operations: []
Exploring Operation: 97-74=23, Resulting Numbers: [74, 27, 23]
Generated Node #0,0: 69:[74, 27, 23] Operation: 97-74=23
Exploring Operation: 74/74=1, Resulting Numbers: [97, 27, 1]
Generated Node #0,1: 69:[97, 27, 1] Operation: 74/74=1
Exploring Operation: 74-74=0, Resulting Numbers: [97, 27, 0]
Generated Node #0,2: 69:[97, 27, 0] Operation: 74-74=0
Exploring Operation: 97-74=23, Resulting Numbers: [74, 27, 23]
Generated Node #0,3: 69:[74, 27, 23] Operation: 97-74=23
Exploring Operation: 97-27=70, Resulting Numbers: [74, 74, 70]
Generated Node #0,4: 69:[74, 74, 70] Operation: 97-27=70
Moving to Node #0,0
Current State: 69:[74, 27, 23], Operations: ['97-74=23']
Exploring Operation: 27-23=4, Resulting Numbers: [74, 4]
Generated Node #0,0,0: 69:[74, 4] Operation: 27-23=4
Exploring Operation: 74-23=51, Resulting Numbers: [27, 51]
Generated Node #0,0,1: 69:[27, 51] Operation: 74-23=51
Exploring Operation: 27+23=50, Resulting Numbers: [74, 50]
Generated Node #0,0,2: 69:[74, 50] Operation: 27+23=50
Exploring Operation: 74+27=101, Resulting Numbers: [23, 101]
Generated Node #0,0,3: 69:[23, 101] Operation: 74+27=101
Exploring Operation: 74-27=47, Resulting Numbers: [23, 47]
Generated Node #0,0,4: 69:[23, 47] Operation: 74-27=47
Moving to Node #0,3
Current State: 69:[74, 27, 23], Operations: ['97-74=23']
Exploring Operation: 74+27=101, Resulting Numbers: [23, 101]
Generated Node #0,3,0: 69:[23, 101] Operation: 74+27=101
Exploring Operation: 74-27=47, Resulting Numbers: [23, 47]
Generated Node #0,3,1: 69:[23, 47] Operation: 74-27=47
Exploring Operation: 27+23=50, Resulting Numbers: [74, 50]
Generated Node #0,3,2: 69:[74, 50] Operation: 27+23=50
Exploring Operation: 27-23=4, Resulting Numbers: [74, 4]
Generated Node #0,3,3: 69:[74, 4] Operation: 27-23=4
Exploring Operation: 74-23=51, Resulting Numbers: [27, 51]
Generated Node #0,3,4: 69:[27, 51] Operation: 74-23=51
Moving to Node #0,4
Current State: 69:[74, 74, 70], Operations: ['97-27=70']
Exploring Operation: 74/74=1, Resulting Numbers: [70, 1]
Generated Node #0,4,0: 69:[70, 1] Operation: 74/74=1
Exploring Operation: 74-70=4, Resulting Numbers: [74, 4]
Generated Node #0,4,1: 69:[74, 4] Operation: 74-70=4
Exploring Operation: 74-70=4, Resulting Numbers: [74, 4]
Generated Node #0,4,2: 69:[74, 4] Operation: 74-70=4
Exploring Operation: 74-74=0, Resulting Numbers: [70, 0]
Generated Node #0,4,3: 69:[70, 0] Operation: 74-74=0
Exploring Operation: 74+74=148, Resulting Numbers: [70, 148]
Generated Node #0,4,4: 69:[70, 148] Operation: 74+74=148
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 69:[70, 1], Operations: ['97-27=70', '74/74=1']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[97, 74, 74, 27], Operations: []
Exploring Operation: 97-27=70, Resulting Numbers: [74, 74, 70]
Generated Node #0,4: 69:[74, 74, 70] Operation: 97-27=70
Moving to Node #0,4
Current State: 69:[74, 74, 70], Operations: ['97-27=70']
Exploring Operation: 74/74=1, Resulting Numbers: [70, 1]
Generated Node #0,4,0: 69:[70, 1] Operation: 74/74=1
Moving to Node #0,4,0
Current State: 69:[70, 1], Operations: ['97-27=70', '74/74=1']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
82,
26,
30,
12
] | 24 | [
"82-30=52",
"52/26=2",
"12*2=24"
] | Current State: 24:[82, 26, 30, 12], Operations: []
Exploring Operation: 82-30=52, Resulting Numbers: [26, 12, 52]
Generated Node #2: [26, 12, 52] from Operation: 82-30=52
Current State: 24:[26, 12, 52], Operations: ['82-30=52']
Exploring Operation: 52/26=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 52/26=2
Current State: 24:[12, 2], Operations: ['82-30=52', '52/26=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[82, 26, 30, 12], Operations: []
Exploring Operation: 82-12=70, Resulting Numbers: [26, 30, 70]
Generated Node #0,0: 24:[26, 30, 70] Operation: 82-12=70
Exploring Operation: 30-26=4, Resulting Numbers: [82, 12, 4]
Generated Node #0,1: 24:[82, 12, 4] Operation: 30-26=4
Exploring Operation: 82-26=56, Resulting Numbers: [30, 12, 56]
Generated Node #0,2: 24:[30, 12, 56] Operation: 82-26=56
Exploring Operation: 82-30=52, Resulting Numbers: [26, 12, 52]
Generated Node #0,3: 24:[26, 12, 52] Operation: 82-30=52
Start Sub Search at level 1: Moving to Node #0,3
Current State: 24:[26, 12, 52], Operations: ['82-30=52']
Exploring Operation: 52/26=2, Resulting Numbers: [12, 2]
Generated Node #0,3,0: 24:[12, 2] Operation: 52/26=2
Exploring Operation: 52-12=40, Resulting Numbers: [26, 40]
Generated Node #0,3,1: 24:[26, 40] Operation: 52-12=40
Exploring Operation: 52-26=26, Resulting Numbers: [12, 26]
Generated Node #0,3,2: 24:[12, 26] Operation: 52-26=26
Exploring Operation: 26-12=14, Resulting Numbers: [52, 14]
Generated Node #0,3,3: 24:[52, 14] Operation: 26-12=14
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 24:[12, 2], Operations: ['82-30=52', '52/26=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[82, 26, 30, 12], Operations: []
Exploring Operation: 82-30=52, Resulting Numbers: [26, 12, 52]
Generated Node #0,3: 24:[26, 12, 52] Operation: 82-30=52
Moving to Node #0,3
Current State: 24:[26, 12, 52], Operations: ['82-30=52']
Exploring Operation: 52/26=2, Resulting Numbers: [12, 2]
Generated Node #0,3,0: 24:[12, 2] Operation: 52/26=2
Moving to Node #0,3,0
Current State: 24:[12, 2], Operations: ['82-30=52', '52/26=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
73,
93,
78,
5
] | 22 | [
"93-73=20",
"5*20=100",
"100-78=22"
] | Current State: 22:[73, 93, 78, 5], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [78, 5, 20]
Generated Node #2: [78, 5, 20] from Operation: 93-73=20
Current State: 22:[78, 5, 20], Operations: ['93-73=20']
Exploring Operation: 5*20=100, Resulting Numbers: [78, 100]
Generated Node #3: [78, 100] from Operation: 5*20=100
Current State: 22:[78, 100], Operations: ['93-73=20', '5*20=100']
Exploring Operation: 100-78=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[73, 93, 78, 5], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [73, 5, 15]
Generated Node #0,0: 22:[73, 5, 15] Operation: 93-78=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[73, 5, 15], Operations: ['93-78=15']
Exploring Operation: 73-15=58, Resulting Numbers: [5, 58]
Generated Node #0,0,0: 22:[5, 58] Operation: 73-15=58
Moving to Node #0,0,0
Current State: 22:[5, 58], Operations: ['93-78=15', '73-15=58']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,22 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 |
[
8,
1,
97,
82
] | 22 | [
"8-1=7",
"97-82=15",
"7+15=22"
] | Current State: 22:[8, 1, 97, 82], Operations: []
Exploring Operation: 8-1=7, Resulting Numbers: [97, 82, 7]
Generated Node #2: [97, 82, 7] from Operation: 8-1=7
Current State: 22:[97, 82, 7], Operations: ['8-1=7']
Exploring Operation: 97-82=15, Resulting Numbers: [7, 15]
Generated Node #3: [7, 15] from Operation: 97-82=15
Current State: 22:[7, 15], Operations: ['8-1=7', '97-82=15']
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[8, 1, 97, 82], Operations: []
Exploring Operation: 82-8=74, Resulting Numbers: [1, 97, 74]
Generated Node #0,0: 22:[1, 97, 74] Operation: 82-8=74
Exploring Operation: 97-82=15, Resulting Numbers: [8, 1, 15]
Generated Node #0,1: 22:[8, 1, 15] Operation: 97-82=15
Exploring Operation: 97-8=89, Resulting Numbers: [1, 82, 89]
Generated Node #0,2: 22:[1, 82, 89] Operation: 97-8=89
Moving to Node #0,1
Current State: 22:[8, 1, 15], Operations: ['97-82=15']
Exploring Operation: 15-8=7, Resulting Numbers: [1, 7]
Generated Node #0,1,0: 22:[1, 7] Operation: 15-8=7
Exploring Operation: 8+15=23, Resulting Numbers: [1, 23]
Generated Node #0,1,1: 22:[1, 23] Operation: 8+15=23
Exploring Operation: 8+1=9, Resulting Numbers: [15, 9]
Generated Node #0,1,2: 22:[15, 9] Operation: 8+1=9
Moving to Node #0,0
Current State: 22:[1, 97, 74], Operations: ['82-8=74']
Exploring Operation: 97-74=23, Resulting Numbers: [1, 23]
Generated Node #0,0,0: 22:[1, 23] Operation: 97-74=23
Exploring Operation: 74-1=73, Resulting Numbers: [97, 73]
Generated Node #0,0,1: 22:[97, 73] Operation: 74-1=73
Exploring Operation: 97-1=96, Resulting Numbers: [74, 96]
Generated Node #0,0,2: 22:[74, 96] Operation: 97-1=96
Moving to Node #0,2
Current State: 22:[1, 82, 89], Operations: ['97-8=89']
Exploring Operation: 89-82=7, Resulting Numbers: [1, 7]
Generated Node #0,2,0: 22:[1, 7] Operation: 89-82=7
Exploring Operation: 89-1=88, Resulting Numbers: [82, 88]
Generated Node #0,2,1: 22:[82, 88] Operation: 89-1=88
Exploring Operation: 82-1=81, Resulting Numbers: [89, 81]
Generated Node #0,2,2: 22:[89, 81] Operation: 82-1=81
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 22:[1, 7], Operations: ['97-8=89', '89-82=7']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 22:[82, 88], Operations: ['97-8=89', '89-1=88']
Exploring Operation: 82+88=170, Resulting Numbers: [170]
170,22 unequal: No Solution
Exploring Operation: 82*88=7216, Resulting Numbers: [7216]
7216,22 unequal: No Solution
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 22:[89, 81], Operations: ['97-8=89', '82-1=81']
Exploring Operation: 89-81=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 89+81=170, Resulting Numbers: [170]
170,22 unequal: No Solution
Exploring Operation: 89*81=7209, Resulting Numbers: [7209]
7209,22 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: 22:[1, 23], Operations: ['97-82=15', '8+15=23']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[8, 1, 97, 82], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [8, 1, 15]
Generated Node #0,1: 22:[8, 1, 15] Operation: 97-82=15
Moving to Node #0,1
Current State: 22:[8, 1, 15], Operations: ['97-82=15']
Exploring Operation: 8+15=23, Resulting Numbers: [1, 23]
Generated Node #0,1,1: 22:[1, 23] Operation: 8+15=23
Moving to Node #0,1,1
Current State: 22:[1, 23], Operations: ['97-82=15', '8+15=23']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
13,
54,
81,
2
] | 14 | [
"13+81=94",
"54*2=108",
"108-94=14"
] | Current State: 14:[13, 54, 81, 2], Operations: []
Exploring Operation: 13+81=94, Resulting Numbers: [54, 2, 94]
Generated Node #2: [54, 2, 94] from Operation: 13+81=94
Current State: 14:[54, 2, 94], Operations: ['13+81=94']
Exploring Operation: 54*2=108, Resulting Numbers: [94, 108]
Generated Node #3: [94, 108] from Operation: 54*2=108
Current State: 14:[94, 108], Operations: ['13+81=94', '54*2=108']
Exploring Operation: 108-94=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[13, 54, 81, 2], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [54, 2, 68]
Generated Node #0,0: 14:[54, 2, 68] Operation: 81-13=68
Exploring Operation: 54/2=27, Resulting Numbers: [13, 81, 27]
Generated Node #0,1: 14:[13, 81, 27] Operation: 54/2=27
Exploring Operation: 81-54=27, Resulting Numbers: [13, 2, 27]
Generated Node #0,2: 14:[13, 2, 27] Operation: 81-54=27
Exploring Operation: 54-13=41, Resulting Numbers: [81, 2, 41]
Generated Node #0,3: 14:[81, 2, 41] Operation: 54-13=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[13, 2, 27], Operations: ['81-54=27']
Exploring Operation: 13+2=15, Resulting Numbers: [27, 15]
Generated Node #0,2,0: 14:[27, 15] Operation: 13+2=15
Exploring Operation: 27-2=25, Resulting Numbers: [13, 25]
Generated Node #0,2,1: 14:[13, 25] Operation: 27-2=25
Exploring Operation: 27-13=14, Resulting Numbers: [2, 14]
Generated Node #0,2,2: 14:[2, 14] Operation: 27-13=14
Exploring Operation: 13-2=11, Resulting Numbers: [27, 11]
Generated Node #0,2,3: 14:[27, 11] Operation: 13-2=11
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 14:[2, 14], Operations: ['81-54=27', '27-13=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,14 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 14:[13, 25], Operations: ['81-54=27', '27-2=25']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 13*25=325, Resulting Numbers: [325]
325,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 14:[27, 15], Operations: ['81-54=27', '13+2=15']
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,14 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 14:[27, 11], Operations: ['81-54=27', '13-2=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,14 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[13, 81, 27], Operations: ['54/2=27']
Exploring Operation: 81-13=68, Resulting Numbers: [27, 68]
Generated Node #0,1,0: 14:[27, 68] Operation: 81-13=68
Exploring Operation: 27-13=14, Resulting Numbers: [81, 14]
Generated Node #0,1,1: 14:[81, 14] Operation: 27-13=14
Exploring Operation: 81-27=54, Resulting Numbers: [13, 54]
Generated Node #0,1,2: 14:[13, 54] Operation: 81-27=54
Exploring Operation: 81/27=3, Resulting Numbers: [13, 3]
Generated Node #0,1,3: 14:[13, 3] Operation: 81/27=3
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 14:[13, 3], Operations: ['54/2=27', '81/27=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 14:[13, 54], Operations: ['54/2=27', '81-27=54']
Exploring Operation: 13*54=702, Resulting Numbers: [702]
702,14 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,14 unequal: No Solution
Exploring Operation: 13+54=67, Resulting Numbers: [67]
67,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[27, 68], Operations: ['54/2=27', '81-13=68']
Exploring Operation: 27*68=1836, Resulting Numbers: [1836]
1836,14 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,14 unequal: No Solution
Exploring Operation: 27+68=95, Resulting Numbers: [95]
95,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[81, 14], Operations: ['54/2=27', '27-13=14']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,14 unequal: No Solution
Exploring Operation: 81*14=1134, Resulting Numbers: [1134]
1134,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[54, 2, 68], Operations: ['81-13=68']
Exploring Operation: 54-2=52, Resulting Numbers: [68, 52]
Generated Node #0,0,0: 14:[68, 52] Operation: 54-2=52
Exploring Operation: 68-54=14, Resulting Numbers: [2, 14]
Generated Node #0,0,1: 14:[2, 14] Operation: 68-54=14
Exploring Operation: 54/2=27, Resulting Numbers: [68, 27]
Generated Node #0,0,2: 14:[68, 27] Operation: 54/2=27
Exploring Operation: 68/2=34, Resulting Numbers: [54, 34]
Generated Node #0,0,3: 14:[54, 34] Operation: 68/2=34
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 14:[2, 14], Operations: ['81-13=68', '68-54=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,14 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 14:[54, 34], Operations: ['81-13=68', '68/2=34']
Exploring Operation: 54*34=1836, Resulting Numbers: [1836]
1836,14 unequal: No Solution
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 14:[68, 27], Operations: ['81-13=68', '54/2=27']
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,14 unequal: No Solution
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,14 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[68, 52], Operations: ['81-13=68', '54-2=52']
Exploring Operation: 68-52=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 68+52=120, Resulting Numbers: [120]
120,14 unequal: No Solution
Exploring Operation: 68*52=3536, Resulting Numbers: [3536]
3536,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[81, 2, 41], Operations: ['54-13=41']
Exploring Operation: 81-2=79, Resulting Numbers: [41, 79]
Generated Node #0,3,0: 14:[41, 79] Operation: 81-2=79
Exploring Operation: 41-2=39, Resulting Numbers: [81, 39]
Generated Node #0,3,1: 14:[81, 39] Operation: 41-2=39
Exploring Operation: 81+2=83, Resulting Numbers: [41, 83]
Generated Node #0,3,2: 14:[41, 83] Operation: 81+2=83
Exploring Operation: 81-41=40, Resulting Numbers: [2, 40]
Generated Node #0,3,3: 14:[2, 40] Operation: 81-41=40
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 14:[2, 40], Operations: ['54-13=41', '81-41=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,14 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 14:[41, 79], Operations: ['54-13=41', '81-2=79']
Exploring Operation: 41+79=120, Resulting Numbers: [120]
120,14 unequal: No Solution
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 41*79=3239, Resulting Numbers: [3239]
3239,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 14:[81, 39], Operations: ['54-13=41', '41-2=39']
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,14 unequal: No Solution
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,14 unequal: No Solution
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 14:[41, 83], Operations: ['54-13=41', '81+2=83']
Exploring Operation: 41*83=3403, Resulting Numbers: [3403]
3403,14 unequal: No Solution
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 41+83=124, Resulting Numbers: [124]
124,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
32,
34,
8,
53
] | 69 | [
"34-32=2",
"8*2=16",
"53+16=69"
] | Current State: 69:[32, 34, 8, 53], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [8, 53, 2]
Generated Node #2: [8, 53, 2] from Operation: 34-32=2
Current State: 69:[8, 53, 2], Operations: ['34-32=2']
Exploring Operation: 8*2=16, Resulting Numbers: [53, 16]
Generated Node #3: [53, 16] from Operation: 8*2=16
Current State: 69:[53, 16], Operations: ['34-32=2', '8*2=16']
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[32, 34, 8, 53], Operations: []
Exploring Operation: 53-34=19, Resulting Numbers: [32, 8, 19]
Generated Node #0,0: 69:[32, 8, 19] Operation: 53-34=19
Exploring Operation: 53-32=21, Resulting Numbers: [34, 8, 21]
Generated Node #0,1: 69:[34, 8, 21] Operation: 53-32=21
Moving to Node #0,0
Current State: 69:[32, 8, 19], Operations: ['53-34=19']
Exploring Operation: 32-8=24, Resulting Numbers: [19, 24]
Generated Node #0,0,0: 69:[19, 24] Operation: 32-8=24
Exploring Operation: 32/8=4, Resulting Numbers: [19, 4]
Generated Node #0,0,1: 69:[19, 4] Operation: 32/8=4
Moving to Node #0,1
Current State: 69:[34, 8, 21], Operations: ['53-32=21']
Exploring Operation: 34-21=13, Resulting Numbers: [8, 13]
Generated Node #0,1,0: 69:[8, 13] Operation: 34-21=13
Exploring Operation: 34-8=26, Resulting Numbers: [21, 26]
Generated Node #0,1,1: 69:[21, 26] Operation: 34-8=26
Moving to Node #0,0,0
Current State: 69:[19, 24], Operations: ['53-34=19', '32-8=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,69 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[21, 26], Operations: ['53-32=21', '34-8=26']
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[19, 4], Operations: ['53-34=19', '32/8=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,69 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[8, 13], Operations: ['53-32=21', '34-21=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,69 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
49,
10,
77,
34
] | 28 | [
"10+34=44",
"49*44=2156",
"2156/77=28"
] | Current State: 28:[49, 10, 77, 34], Operations: []
Exploring Operation: 10+34=44, Resulting Numbers: [49, 77, 44]
Generated Node #2: [49, 77, 44] from Operation: 10+34=44
Current State: 28:[49, 77, 44], Operations: ['10+34=44']
Exploring Operation: 49*44=2156, Resulting Numbers: [77, 2156]
Generated Node #3: [77, 2156] from Operation: 49*44=2156
Current State: 28:[77, 2156], Operations: ['10+34=44', '49*44=2156']
Exploring Operation: 2156/77=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[49, 10, 77, 34], Operations: []
Exploring Operation: 77-49=28, Resulting Numbers: [10, 34, 28]
Generated Node #0,0: 28:[10, 34, 28] Operation: 77-49=28
Moving to Node #0,0
Current State: 28:[10, 34, 28], Operations: ['77-49=28']
Exploring Operation: 34-10=24, Resulting Numbers: [28, 24]
Generated Node #0,0,0: 28:[28, 24] Operation: 34-10=24
Moving to Node #0,0,0
Current State: 28:[28, 24], Operations: ['77-49=28', '34-10=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,28 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
39,
1,
27,
24
] | 14 | [
"27-24=3",
"39/3=13",
"1+13=14"
] | Current State: 14:[39, 1, 27, 24], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [39, 1, 3]
Generated Node #2: [39, 1, 3] from Operation: 27-24=3
Current State: 14:[39, 1, 3], Operations: ['27-24=3']
Exploring Operation: 39/3=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 39/3=13
Current State: 14:[1, 13], Operations: ['27-24=3', '39/3=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[39, 1, 27, 24], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [1, 24, 12]
Generated Node #0,0: 14:[1, 24, 12] Operation: 39-27=12
Exploring Operation: 39-1=38, Resulting Numbers: [27, 24, 38]
Generated Node #0,1: 14:[27, 24, 38] Operation: 39-1=38
Exploring Operation: 27-1=26, Resulting Numbers: [39, 24, 26]
Generated Node #0,2: 14:[39, 24, 26] Operation: 27-1=26
Exploring Operation: 27-24=3, Resulting Numbers: [39, 1, 3]
Generated Node #0,3: 14:[39, 1, 3] Operation: 27-24=3
Exploring Operation: 39-24=15, Resulting Numbers: [1, 27, 15]
Generated Node #0,4: 14:[1, 27, 15] Operation: 39-24=15
Moving to Node #0,0
Current State: 14:[1, 24, 12], Operations: ['39-27=12']
Exploring Operation: 24-1=23, Resulting Numbers: [12, 23]
Generated Node #0,0,0: 14:[12, 23] Operation: 24-1=23
Exploring Operation: 1*24=24, Resulting Numbers: [12, 24]
Generated Node #0,0,1: 14:[12, 24] Operation: 1*24=24
Exploring Operation: 24/12=2, Resulting Numbers: [1, 2]
Generated Node #0,0,2: 14:[1, 2] Operation: 24/12=2
Exploring Operation: 1+12=13, Resulting Numbers: [24, 13]
Generated Node #0,0,3: 14:[24, 13] Operation: 1+12=13
Exploring Operation: 24-12=12, Resulting Numbers: [1, 12]
Generated Node #0,0,4: 14:[1, 12] Operation: 24-12=12
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[1, 2], Operations: ['39-27=12', '24/12=2']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 14:[1, 12], Operations: ['39-27=12', '24-12=12']
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[12, 23], Operations: ['39-27=12', '24-1=23']
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,14 unequal: No Solution
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 14:[24, 13], Operations: ['39-27=12', '1+12=13']
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,14 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[12, 24], Operations: ['39-27=12', '1*24=24']
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 12*24=288, Resulting Numbers: [288]
288,14 unequal: No Solution
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,14 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: 14:[1, 27, 15], Operations: ['39-24=15']
Exploring Operation: 15-1=14, Resulting Numbers: [27, 14]
Generated Node #0,4,0: 14:[27, 14] Operation: 15-1=14
Exploring Operation: 27-15=12, Resulting Numbers: [1, 12]
Generated Node #0,4,1: 14:[1, 12] Operation: 27-15=12
Exploring Operation: 1*27=27, Resulting Numbers: [15, 27]
Generated Node #0,4,2: 14:[15, 27] Operation: 1*27=27
Exploring Operation: 27/1=27, Resulting Numbers: [15, 27]
Generated Node #0,4,3: 14:[15, 27] Operation: 27/1=27
Exploring Operation: 27-1=26, Resulting Numbers: [15, 26]
Generated Node #0,4,4: 14:[15, 26] Operation: 27-1=26
Moving to Node #0,3
Current State: 14:[39, 1, 3], Operations: ['27-24=3']
Exploring Operation: 39-3=36, Resulting Numbers: [1, 36]
Generated Node #0,3,0: 14:[1, 36] Operation: 39-3=36
Exploring Operation: 39-1=38, Resulting Numbers: [3, 38]
Generated Node #0,3,1: 14:[3, 38] Operation: 39-1=38
Exploring Operation: 39/3=13, Resulting Numbers: [1, 13]
Generated Node #0,3,2: 14:[1, 13] Operation: 39/3=13
Exploring Operation: 39*1=39, Resulting Numbers: [3, 39]
Generated Node #0,3,3: 14:[3, 39] Operation: 39*1=39
Exploring Operation: 3-1=2, Resulting Numbers: [39, 2]
Generated Node #0,3,4: 14:[39, 2] Operation: 3-1=2
Moving to Node #0,1
Current State: 14:[27, 24, 38], Operations: ['39-1=38']
Exploring Operation: 27+24=51, Resulting Numbers: [38, 51]
Generated Node #0,1,0: 14:[38, 51] Operation: 27+24=51
Exploring Operation: 27-24=3, Resulting Numbers: [38, 3]
Generated Node #0,1,1: 14:[38, 3] Operation: 27-24=3
Exploring Operation: 38-24=14, Resulting Numbers: [27, 14]
Generated Node #0,1,2: 14:[27, 14] Operation: 38-24=14
Exploring Operation: 27+38=65, Resulting Numbers: [24, 65]
Generated Node #0,1,3: 14:[24, 65] Operation: 27+38=65
Exploring Operation: 38-27=11, Resulting Numbers: [24, 11]
Generated Node #0,1,4: 14:[24, 11] Operation: 38-27=11
Moving to Node #0,2
Current State: 14:[39, 24, 26], Operations: ['27-1=26']
Exploring Operation: 26-24=2, Resulting Numbers: [39, 2]
Generated Node #0,2,0: 14:[39, 2] Operation: 26-24=2
Exploring Operation: 39-24=15, Resulting Numbers: [26, 15]
Generated Node #0,2,1: 14:[26, 15] Operation: 39-24=15
Exploring Operation: 39+24=63, Resulting Numbers: [26, 63]
Generated Node #0,2,2: 14:[26, 63] Operation: 39+24=63
Exploring Operation: 39+26=65, Resulting Numbers: [24, 65]
Generated Node #0,2,3: 14:[24, 65] Operation: 39+26=65
Exploring Operation: 39-26=13, Resulting Numbers: [24, 13]
Generated Node #0,2,4: 14:[24, 13] Operation: 39-26=13
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 14:[24, 13], Operations: ['27-1=26', '39-26=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[26, 15], Operations: ['27-1=26', '39-24=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,14 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,14 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[39, 2], Operations: ['27-1=26', '26-24=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[26, 63], Operations: ['27-1=26', '39+24=63']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Exploring Operation: 26+63=89, Resulting Numbers: [89]
89,14 unequal: No Solution
Exploring Operation: 26*63=1638, Resulting Numbers: [1638]
1638,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 14:[24, 65], Operations: ['27-1=26', '39+26=65']
Exploring Operation: 24+65=89, Resulting Numbers: [89]
89,14 unequal: No Solution
Exploring Operation: 24*65=1560, Resulting Numbers: [1560]
1560,14 unequal: No Solution
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,14 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: 14:[1, 13], Operations: ['27-24=3', '39/3=13']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[39, 1, 27, 24], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [39, 1, 3]
Generated Node #0,3: 14:[39, 1, 3] Operation: 27-24=3
Moving to Node #0,3
Current State: 14:[39, 1, 3], Operations: ['27-24=3']
Exploring Operation: 39/3=13, Resulting Numbers: [1, 13]
Generated Node #0,3,2: 14:[1, 13] Operation: 39/3=13
Moving to Node #0,3,2
Current State: 14:[1, 13], Operations: ['27-24=3', '39/3=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.939236 | hs_5 | sum_heuristic |
[
97,
90,
81,
45
] | 92 | [
"90-81=9",
"45/9=5",
"97-5=92"
] | Current State: 92:[97, 90, 81, 45], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [97, 45, 9]
Generated Node #2: [97, 45, 9] from Operation: 90-81=9
Current State: 92:[97, 45, 9], Operations: ['90-81=9']
Exploring Operation: 45/9=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 45/9=5
Current State: 92:[97, 5], Operations: ['90-81=9', '45/9=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[97, 90, 81, 45], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [97, 45, 9]
Generated Node #0,0: 92:[97, 45, 9] Operation: 90-81=9
Exploring Operation: 97-90=7, Resulting Numbers: [81, 45, 7]
Generated Node #0,1: 92:[81, 45, 7] Operation: 97-90=7
Exploring Operation: 97-81=16, Resulting Numbers: [90, 45, 16]
Generated Node #0,2: 92:[90, 45, 16] Operation: 97-81=16
Exploring Operation: 90/45=2, Resulting Numbers: [97, 81, 2]
Generated Node #0,3: 92:[97, 81, 2] Operation: 90/45=2
Moving to Node #0,2
Current State: 92:[90, 45, 16], Operations: ['97-81=16']
Exploring Operation: 45-16=29, Resulting Numbers: [90, 29]
Generated Node #0,2,0: 92:[90, 29] Operation: 45-16=29
Exploring Operation: 90-45=45, Resulting Numbers: [16, 45]
Generated Node #0,2,1: 92:[16, 45] Operation: 90-45=45
Exploring Operation: 90/45=2, Resulting Numbers: [16, 2]
Generated Node #0,2,2: 92:[16, 2] Operation: 90/45=2
Exploring Operation: 90+16=106, Resulting Numbers: [45, 106]
Generated Node #0,2,3: 92:[45, 106] Operation: 90+16=106
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[16, 2], Operations: ['97-81=16', '90/45=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 92:[90, 29], Operations: ['97-81=16', '45-16=29']
Exploring Operation: 90*29=2610, Resulting Numbers: [2610]
2610,92 unequal: No Solution
Exploring Operation: 90+29=119, Resulting Numbers: [119]
119,92 unequal: No Solution
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 92:[16, 45], Operations: ['97-81=16', '90-45=45']
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,92 unequal: No Solution
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,92 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 92:[45, 106], Operations: ['97-81=16', '90+16=106']
Exploring Operation: 45*106=4770, Resulting Numbers: [4770]
4770,92 unequal: No Solution
Exploring Operation: 106-45=61, Resulting Numbers: [61]
61,92 unequal: No Solution
Exploring Operation: 45+106=151, Resulting Numbers: [151]
151,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 92:[97, 45, 9], Operations: ['90-81=9']
Exploring Operation: 97-45=52, Resulting Numbers: [9, 52]
Generated Node #0,0,0: 92:[9, 52] Operation: 97-45=52
Exploring Operation: 45/9=5, Resulting Numbers: [97, 5]
Generated Node #0,0,1: 92:[97, 5] Operation: 45/9=5
Exploring Operation: 45+9=54, Resulting Numbers: [97, 54]
Generated Node #0,0,2: 92:[97, 54] Operation: 45+9=54
Exploring Operation: 97-9=88, Resulting Numbers: [45, 88]
Generated Node #0,0,3: 92:[45, 88] Operation: 97-9=88
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 92:[45, 88], Operations: ['90-81=9', '97-9=88']
Exploring Operation: 45*88=3960, Resulting Numbers: [3960]
3960,92 unequal: No Solution
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 45+88=133, Resulting Numbers: [133]
133,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[97, 5], Operations: ['90-81=9', '45/9=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[97, 90, 81, 45], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [97, 45, 9]
Generated Node #0,0: 92:[97, 45, 9] Operation: 90-81=9
Moving to Node #0,0
Current State: 92:[97, 45, 9], Operations: ['90-81=9']
Exploring Operation: 45/9=5, Resulting Numbers: [97, 5]
Generated Node #0,0,1: 92:[97, 5] Operation: 45/9=5
Moving to Node #0,0,1
Current State: 92:[97, 5], Operations: ['90-81=9', '45/9=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | sum_heuristic |
[
7,
41,
6,
15
] | 16 | [
"7*6=42",
"41-15=26",
"42-26=16"
] | Current State: 16:[7, 41, 6, 15], Operations: []
Exploring Operation: 7*6=42, Resulting Numbers: [41, 15, 42]
Generated Node #2: [41, 15, 42] from Operation: 7*6=42
Current State: 16:[41, 15, 42], Operations: ['7*6=42']
Exploring Operation: 41-15=26, Resulting Numbers: [42, 26]
Generated Node #3: [42, 26] from Operation: 41-15=26
Current State: 16:[42, 26], Operations: ['7*6=42', '41-15=26']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[7, 41, 6, 15], Operations: []
Exploring Operation: 41-7=34, Resulting Numbers: [6, 15, 34]
Generated Node #0,0: 16:[6, 15, 34] Operation: 41-7=34
Exploring Operation: 15-7=8, Resulting Numbers: [41, 6, 8]
Generated Node #0,1: 16:[41, 6, 8] Operation: 15-7=8
Exploring Operation: 7-6=1, Resulting Numbers: [41, 15, 1]
Generated Node #0,2: 16:[41, 15, 1] Operation: 7-6=1
Exploring Operation: 41-6=35, Resulting Numbers: [7, 15, 35]
Generated Node #0,3: 16:[7, 15, 35] Operation: 41-6=35
Exploring Operation: 41-15=26, Resulting Numbers: [7, 6, 26]
Generated Node #0,4: 16:[7, 6, 26] Operation: 41-15=26
Start Sub Search at level 1: Moving to Node #0,4
Current State: 16:[7, 6, 26], Operations: ['41-15=26']
Exploring Operation: 7-6=1, Resulting Numbers: [26, 1]
Generated Node #0,4,0: 16:[26, 1] Operation: 7-6=1
Exploring Operation: 6+26=32, Resulting Numbers: [7, 32]
Generated Node #0,4,1: 16:[7, 32] Operation: 6+26=32
Exploring Operation: 26-6=20, Resulting Numbers: [7, 20]
Generated Node #0,4,2: 16:[7, 20] Operation: 26-6=20
Exploring Operation: 26-7=19, Resulting Numbers: [6, 19]
Generated Node #0,4,3: 16:[6, 19] Operation: 26-7=19
Exploring Operation: 7+6=13, Resulting Numbers: [26, 13]
Generated Node #0,4,4: 16:[26, 13] Operation: 7+6=13
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 16:[7, 20], Operations: ['41-15=26', '26-6=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,16 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,16 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 #0,4,3
Current State: 16:[6, 19], Operations: ['41-15=26', '26-7=19']
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,16 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 6+19=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 #0,4,0
Current State: 16:[26, 1], Operations: ['41-15=26', '7-6=1']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 16:[26, 13], Operations: ['41-15=26', '7+6=13']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 26*13=338, Resulting Numbers: [338]
338,16 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,16 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 #0,4,1
Current State: 16:[7, 32], Operations: ['41-15=26', '6+26=32']
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,16 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,16 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 #0,0
Current State: 16:[6, 15, 34], Operations: ['41-7=34']
Exploring Operation: 34-6=28, Resulting Numbers: [15, 28]
Generated Node #0,0,0: 16:[15, 28] Operation: 34-6=28
Exploring Operation: 6+15=21, Resulting Numbers: [34, 21]
Generated Node #0,0,1: 16:[34, 21] Operation: 6+15=21
Exploring Operation: 15-6=9, Resulting Numbers: [34, 9]
Generated Node #0,0,2: 16:[34, 9] Operation: 15-6=9
Exploring Operation: 34-15=19, Resulting Numbers: [6, 19]
Generated Node #0,0,3: 16:[6, 19] Operation: 34-15=19
Exploring Operation: 6+34=40, Resulting Numbers: [15, 40]
Generated Node #0,0,4: 16:[15, 40] Operation: 6+34=40
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 16:[6, 19], Operations: ['41-7=34', '34-15=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,16 unequal: No Solution
Exploring Operation: 6+19=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 #0,0,0
Current State: 16:[15, 28], Operations: ['41-7=34', '34-6=28']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,16 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,16 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 #0,0,2
Current State: 16:[34, 9], Operations: ['41-7=34', '15-6=9']
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,16 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,16 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:[34, 21], Operations: ['41-7=34', '6+15=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 34*21=714, Resulting Numbers: [714]
714,16 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 #0,0,4
Current State: 16:[15, 40], Operations: ['41-7=34', '6+34=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 15*40=600, Resulting Numbers: [600]
600,16 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 #0,3
Current State: 16:[7, 15, 35], Operations: ['41-6=35']
Exploring Operation: 15-7=8, Resulting Numbers: [35, 8]
Generated Node #0,3,0: 16:[35, 8] Operation: 15-7=8
Exploring Operation: 35/7=5, Resulting Numbers: [15, 5]
Generated Node #0,3,1: 16:[15, 5] Operation: 35/7=5
Exploring Operation: 7+15=22, Resulting Numbers: [35, 22]
Generated Node #0,3,2: 16:[35, 22] Operation: 7+15=22
Exploring Operation: 35-15=20, Resulting Numbers: [7, 20]
Generated Node #0,3,3: 16:[7, 20] Operation: 35-15=20
Exploring Operation: 35-7=28, Resulting Numbers: [15, 28]
Generated Node #0,3,4: 16:[15, 28] Operation: 35-7=28
Moving to Node #0,3,1
Current State: 16:[15, 5], Operations: ['41-6=35', '35/7=5']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Moving to Node #0,3,3
Current State: 16:[7, 20], Operations: ['41-6=35', '35-15=20']
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,16 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Moving to Node #0,3,4
Current State: 16:[15, 28], Operations: ['41-6=35', '35-7=28']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,16 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Moving to Node #0,3,0
Current State: 16:[35, 8], Operations: ['41-6=35', '15-7=8']
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,16 unequal: No Solution
Moving to Node #0,3,2
Current State: 16:[35, 22], Operations: ['41-6=35', '7+15=22']
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 35*22=770, Resulting Numbers: [770]
770,16 unequal: No Solution
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,16 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 #0,1
Current State: 16:[41, 6, 8], Operations: ['15-7=8']
Exploring Operation: 41-8=33, Resulting Numbers: [6, 33]
Generated Node #0,1,0: 16:[6, 33] Operation: 41-8=33
Exploring Operation: 8-6=2, Resulting Numbers: [41, 2]
Generated Node #0,1,1: 16:[41, 2] Operation: 8-6=2
Exploring Operation: 6+8=14, Resulting Numbers: [41, 14]
Generated Node #0,1,2: 16:[41, 14] Operation: 6+8=14
Exploring Operation: 41+6=47, Resulting Numbers: [8, 47]
Generated Node #0,1,3: 16:[8, 47] Operation: 41+6=47
Exploring Operation: 41-6=35, Resulting Numbers: [8, 35]
Generated Node #0,1,4: 16:[8, 35] Operation: 41-6=35
Moving to Node #0,1,0
Current State: 16:[6, 33], Operations: ['15-7=8', '41-8=33']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,16 unequal: No Solution
Moving to Node #0,1,4
Current State: 16:[8, 35], Operations: ['15-7=8', '41-6=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 8*35=280, Resulting Numbers: [280]
280,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[41, 2], Operations: ['15-7=8', '8-6=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,16 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[41, 14], Operations: ['15-7=8', '6+8=14']
Exploring Operation: 41*14=574, Resulting Numbers: [574]
574,16 unequal: No Solution
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[8, 47], Operations: ['15-7=8', '41+6=47']
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,16 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:[41, 15, 1], Operations: ['7-6=1']
Exploring Operation: 41-15=26, Resulting Numbers: [1, 26]
Generated Node #0,2,0: 16:[1, 26] Operation: 41-15=26
Exploring Operation: 15+1=16, Resulting Numbers: [41, 16]
Generated Node #0,2,1: 16:[41, 16] Operation: 15+1=16
Exploring Operation: 41/1=41, Resulting Numbers: [15, 41]
Generated Node #0,2,2: 16:[15, 41] Operation: 41/1=41
Exploring Operation: 41*1=41, Resulting Numbers: [15, 41]
Generated Node #0,2,3: 16:[15, 41] Operation: 41*1=41
Exploring Operation: 41-1=40, Resulting Numbers: [15, 40]
Generated Node #0,2,4: 16:[15, 40] Operation: 41-1=40
Moving to Node #0,2,0
Current State: 16:[1, 26], Operations: ['7-6=1', '41-15=26']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Moving to Node #0,2,4
Current State: 16:[15, 40], Operations: ['7-6=1', '41-1=40']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 15*40=600, Resulting Numbers: [600]
600,16 unequal: No Solution
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[41, 16], Operations: ['7-6=1', '15+1=16']
Exploring Operation: 41*16=656, Resulting Numbers: [656]
656,16 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[15, 41], Operations: ['7-6=1', '41/1=41']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 15*41=615, Resulting Numbers: [615]
615,16 unequal: No Solution
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[15, 41], Operations: ['7-6=1', '41*1=41']
Exploring Operation: 15*41=615, Resulting Numbers: [615]
615,16 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,16 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 |
[
9,
79,
69,
12
] | 98 | [
"9*12=108",
"79-69=10",
"108-10=98"
] | Current State: 98:[9, 79, 69, 12], Operations: []
Exploring Operation: 9*12=108, Resulting Numbers: [79, 69, 108]
Generated Node #2: [79, 69, 108] from Operation: 9*12=108
Current State: 98:[79, 69, 108], Operations: ['9*12=108']
Exploring Operation: 79-69=10, Resulting Numbers: [108, 10]
Generated Node #3: [108, 10] from Operation: 79-69=10
Current State: 98:[108, 10], Operations: ['9*12=108', '79-69=10']
Exploring Operation: 108-10=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[9, 79, 69, 12], Operations: []
Exploring Operation: 69-12=57, Resulting Numbers: [9, 79, 57]
Generated Node #0,0: 98:[9, 79, 57] Operation: 69-12=57
Exploring Operation: 79+12=91, Resulting Numbers: [9, 69, 91]
Generated Node #0,1: 98:[9, 69, 91] Operation: 79+12=91
Exploring Operation: 79-69=10, Resulting Numbers: [9, 12, 10]
Generated Node #0,2: 98:[9, 12, 10] Operation: 79-69=10
Moving to Node #0,2
Current State: 98:[9, 12, 10], Operations: ['79-69=10']
Exploring Operation: 12-9=3, Resulting Numbers: [10, 3]
Generated Node #0,2,0: 98:[10, 3] Operation: 12-9=3
Exploring Operation: 10-9=1, Resulting Numbers: [12, 1]
Generated Node #0,2,1: 98:[12, 1] Operation: 10-9=1
Exploring Operation: 12-10=2, Resulting Numbers: [9, 2]
Generated Node #0,2,2: 98:[9, 2] Operation: 12-10=2
Moving to Node #0,0
Current State: 98:[9, 79, 57], Operations: ['69-12=57']
Exploring Operation: 9+79=88, Resulting Numbers: [57, 88]
Generated Node #0,0,0: 98:[57, 88] Operation: 9+79=88
Exploring Operation: 79-57=22, Resulting Numbers: [9, 22]
Generated Node #0,0,1: 98:[9, 22] Operation: 79-57=22
Exploring Operation: 57-9=48, Resulting Numbers: [79, 48]
Generated Node #0,0,2: 98:[79, 48] Operation: 57-9=48
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 98:[9, 22], Operations: ['69-12=57', '79-57=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,98 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,98 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 #0,0,0
Current State: 98:[57, 88], Operations: ['69-12=57', '9+79=88']
Exploring Operation: 88-57=31, Resulting Numbers: [31]
31,98 unequal: No Solution
Exploring Operation: 57*88=5016, Resulting Numbers: [5016]
5016,98 unequal: No Solution
Exploring Operation: 57+88=145, Resulting Numbers: [145]
145,98 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 #0,0,2
Current State: 98:[79, 48], Operations: ['69-12=57', '57-9=48']
Exploring Operation: 79-48=31, Resulting Numbers: [31]
31,98 unequal: No Solution
Exploring Operation: 79*48=3792, Resulting Numbers: [3792]
3792,98 unequal: No Solution
Exploring Operation: 79+48=127, Resulting Numbers: [127]
127,98 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: 98:[9, 69, 91], Operations: ['79+12=91']
Exploring Operation: 91-69=22, Resulting Numbers: [9, 22]
Generated Node #0,1,0: 98:[9, 22] Operation: 91-69=22
Exploring Operation: 9+91=100, Resulting Numbers: [69, 100]
Generated Node #0,1,1: 98:[69, 100] Operation: 9+91=100
Exploring Operation: 69-9=60, Resulting Numbers: [91, 60]
Generated Node #0,1,2: 98:[91, 60] Operation: 69-9=60
Moving to Node #0,2,2
Current State: 98:[9, 2], Operations: ['79-69=10', '12-10=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,98 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[12, 1], Operations: ['79-69=10', '10-9=1']
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[10, 3], Operations: ['79-69=10', '12-9=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,98 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[9, 22], Operations: ['79+12=91', '91-69=22']
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,98 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[91, 60], Operations: ['79+12=91', '69-9=60']
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,98 unequal: No Solution
Exploring Operation: 91*60=5460, Resulting Numbers: [5460]
5460,98 unequal: No Solution
Exploring Operation: 91+60=151, Resulting Numbers: [151]
151,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[69, 100], Operations: ['79+12=91', '9+91=100']
Exploring Operation: 100-69=31, Resulting Numbers: [31]
31,98 unequal: No Solution
Exploring Operation: 69+100=169, Resulting Numbers: [169]
169,98 unequal: No Solution
Exploring Operation: 69*100=6900, Resulting Numbers: [6900]
6900,98 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
26,
35,
78,
29
] | 52 | [
"78/26=3",
"29*3=87",
"87-35=52"
] | Current State: 52:[26, 35, 78, 29], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [35, 29, 3]
Generated Node #2: [35, 29, 3] from Operation: 78/26=3
Current State: 52:[35, 29, 3], Operations: ['78/26=3']
Exploring Operation: 29*3=87, Resulting Numbers: [35, 87]
Generated Node #3: [35, 87] from Operation: 29*3=87
Current State: 52:[35, 87], Operations: ['78/26=3', '29*3=87']
Exploring Operation: 87-35=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[26, 35, 78, 29], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [26, 35, 49]
Generated Node #0,0: 52:[26, 35, 49] Operation: 78-29=49
Exploring Operation: 78-26=52, Resulting Numbers: [35, 29, 52]
Generated Node #0,1: 52:[35, 29, 52] Operation: 78-26=52
Exploring Operation: 78-35=43, Resulting Numbers: [26, 29, 43]
Generated Node #0,2: 52:[26, 29, 43] Operation: 78-35=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[26, 35, 49], Operations: ['78-29=49']
Exploring Operation: 49-35=14, Resulting Numbers: [26, 14]
Generated Node #0,0,0: 52:[26, 14] Operation: 49-35=14
Exploring Operation: 26+35=61, Resulting Numbers: [49, 61]
Generated Node #0,0,1: 52:[49, 61] Operation: 26+35=61
Exploring Operation: 35-26=9, Resulting Numbers: [49, 9]
Generated Node #0,0,2: 52:[49, 9] Operation: 35-26=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[26, 14], Operations: ['78-29=49', '49-35=14']
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 26*14=364, Resulting Numbers: [364]
364,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[49, 9], Operations: ['78-29=49', '35-26=9']
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 49*9=441, Resulting Numbers: [441]
441,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[49, 61], Operations: ['78-29=49', '26+35=61']
Exploring Operation: 49*61=2989, Resulting Numbers: [2989]
2989,52 unequal: No Solution
Exploring Operation: 61-49=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 49+61=110, Resulting Numbers: [110]
110,52 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:[35, 29, 52], Operations: ['78-26=52']
Exploring Operation: 35-29=6, Resulting Numbers: [52, 6]
Generated Node #0,1,0: 52:[52, 6] Operation: 35-29=6
Exploring Operation: 52-35=17, Resulting Numbers: [29, 17]
Generated Node #0,1,1: 52:[29, 17] Operation: 52-35=17
Exploring Operation: 35+29=64, Resulting Numbers: [52, 64]
Generated Node #0,1,2: 52:[52, 64] Operation: 35+29=64
Moving to Node #0,1,0
Current State: 52:[52, 6], Operations: ['78-26=52', '35-29=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,52 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[29, 17], Operations: ['78-26=52', '52-35=17']
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,52 unequal: No Solution
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[52, 64], Operations: ['78-26=52', '35+29=64']
Exploring Operation: 52*64=3328, Resulting Numbers: [3328]
3328,52 unequal: No Solution
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 52+64=116, Resulting Numbers: [116]
116,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[26, 29, 43], Operations: ['78-35=43']
Exploring Operation: 43-26=17, Resulting Numbers: [29, 17]
Generated Node #0,2,0: 52:[29, 17] Operation: 43-26=17
Exploring Operation: 43-29=14, Resulting Numbers: [26, 14]
Generated Node #0,2,1: 52:[26, 14] Operation: 43-29=14
Exploring Operation: 29-26=3, Resulting Numbers: [43, 3]
Generated Node #0,2,2: 52:[43, 3] Operation: 29-26=3
Moving to Node #0,2,1
Current State: 52:[26, 14], Operations: ['78-35=43', '43-29=14']
Exploring Operation: 26*14=364, Resulting Numbers: [364]
364,52 unequal: No Solution
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[29, 17], Operations: ['78-35=43', '43-26=17']
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,52 unequal: No Solution
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[43, 3], Operations: ['78-35=43', '29-26=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,52 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,52 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,52 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,
79,
80,
36
] | 97 | [
"79-60=19",
"80+36=116",
"116-19=97"
] | Current State: 97:[60, 79, 80, 36], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [80, 36, 19]
Generated Node #2: [80, 36, 19] from Operation: 79-60=19
Current State: 97:[80, 36, 19], Operations: ['79-60=19']
Exploring Operation: 80+36=116, Resulting Numbers: [19, 116]
Generated Node #3: [19, 116] from Operation: 80+36=116
Current State: 97:[19, 116], Operations: ['79-60=19', '80+36=116']
Exploring Operation: 116-19=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[60, 79, 80, 36], Operations: []
Exploring Operation: 79+36=115, Resulting Numbers: [60, 80, 115]
Generated Node #0,0: 97:[60, 80, 115] Operation: 79+36=115
Exploring Operation: 60-36=24, Resulting Numbers: [79, 80, 24]
Generated Node #0,1: 97:[79, 80, 24] Operation: 60-36=24
Exploring Operation: 80+36=116, Resulting Numbers: [60, 79, 116]
Generated Node #0,2: 97:[60, 79, 116] Operation: 80+36=116
Exploring Operation: 60+36=96, Resulting Numbers: [79, 80, 96]
Generated Node #0,3: 97:[79, 80, 96] Operation: 60+36=96
Moving to Node #0,3
Current State: 97:[79, 80, 96], Operations: ['60+36=96']
Exploring Operation: 80-79=1, Resulting Numbers: [96, 1]
Generated Node #0,3,0: 97:[96, 1] Operation: 80-79=1
Exploring Operation: 96-79=17, Resulting Numbers: [80, 17]
Generated Node #0,3,1: 97:[80, 17] Operation: 96-79=17
Exploring Operation: 79+96=175, Resulting Numbers: [80, 175]
Generated Node #0,3,2: 97:[80, 175] Operation: 79+96=175
Exploring Operation: 79+80=159, Resulting Numbers: [96, 159]
Generated Node #0,3,3: 97:[96, 159] Operation: 79+80=159
Moving to Node #0,0
Current State: 97:[60, 80, 115], Operations: ['79+36=115']
Exploring Operation: 60+115=175, Resulting Numbers: [80, 175]
Generated Node #0,0,0: 97:[80, 175] Operation: 60+115=175
Exploring Operation: 115-60=55, Resulting Numbers: [80, 55]
Generated Node #0,0,1: 97:[80, 55] Operation: 115-60=55
Exploring Operation: 80-60=20, Resulting Numbers: [115, 20]
Generated Node #0,0,2: 97:[115, 20] Operation: 80-60=20
Exploring Operation: 60+80=140, Resulting Numbers: [115, 140]
Generated Node #0,0,3: 97:[115, 140] Operation: 60+80=140
Moving to Node #0,2
Current State: 97:[60, 79, 116], Operations: ['80+36=116']
Exploring Operation: 60+116=176, Resulting Numbers: [79, 176]
Generated Node #0,2,0: 97:[79, 176] Operation: 60+116=176
Exploring Operation: 79-60=19, Resulting Numbers: [116, 19]
Generated Node #0,2,1: 97:[116, 19] Operation: 79-60=19
Exploring Operation: 60+79=139, Resulting Numbers: [116, 139]
Generated Node #0,2,2: 97:[116, 139] Operation: 60+79=139
Exploring Operation: 116-60=56, Resulting Numbers: [79, 56]
Generated Node #0,2,3: 97:[79, 56] Operation: 116-60=56
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 97:[79, 56], Operations: ['80+36=116', '116-60=56']
Exploring Operation: 79-56=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 79+56=135, Resulting Numbers: [135]
135,97 unequal: No Solution
Exploring Operation: 79*56=4424, Resulting Numbers: [4424]
4424,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[116, 139], Operations: ['80+36=116', '60+79=139']
Exploring Operation: 116*139=16124, Resulting Numbers: [16124]
16124,97 unequal: No Solution
Exploring Operation: 116+139=255, Resulting Numbers: [255]
255,97 unequal: No Solution
Exploring Operation: 139-116=23, Resulting Numbers: [23]
23,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 97:[79, 176], Operations: ['80+36=116', '60+116=176']
Exploring Operation: 79+176=255, Resulting Numbers: [255]
255,97 unequal: No Solution
Exploring Operation: 176-79=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[60, 79, 80, 36], Operations: []
Exploring Operation: 80+36=116, Resulting Numbers: [60, 79, 116]
Generated Node #0,2: 97:[60, 79, 116] Operation: 80+36=116
Moving to Node #0,2
Current State: 97:[60, 79, 116], Operations: ['80+36=116']
Exploring Operation: 60+116=176, Resulting Numbers: [79, 176]
Generated Node #0,2,0: 97:[79, 176] Operation: 60+116=176
Moving to Node #0,2,0
Current State: 97:[79, 176], Operations: ['80+36=116', '60+116=176']
Exploring Operation: 176-79=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_4 | mult_heuristic |
[
92,
75,
37,
2
] | 22 | [
"92-75=17",
"37+2=39",
"39-17=22"
] | Current State: 22:[92, 75, 37, 2], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [37, 2, 17]
Generated Node #2: [37, 2, 17] from Operation: 92-75=17
Current State: 22:[37, 2, 17], Operations: ['92-75=17']
Exploring Operation: 37+2=39, Resulting Numbers: [17, 39]
Generated Node #3: [17, 39] from Operation: 37+2=39
Current State: 22:[17, 39], Operations: ['92-75=17', '37+2=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[92, 75, 37, 2], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [75, 2, 55]
Generated Node #0,0: 22:[75, 2, 55] Operation: 92-37=55
Exploring Operation: 92-75=17, Resulting Numbers: [37, 2, 17]
Generated Node #0,1: 22:[37, 2, 17] Operation: 92-75=17
Moving to Node #0,1
Current State: 22:[37, 2, 17], Operations: ['92-75=17']
Exploring Operation: 37-17=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 22:[2, 20] Operation: 37-17=20
Exploring Operation: 37-2=35, Resulting Numbers: [17, 35]
Generated Node #0,1,1: 22:[17, 35] Operation: 37-2=35
Moving to Node #0,0
Current State: 22:[75, 2, 55], Operations: ['92-37=55']
Exploring Operation: 75-55=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 22:[2, 20] Operation: 75-55=20
Exploring Operation: 75-2=73, Resulting Numbers: [55, 73]
Generated Node #0,0,1: 22:[55, 73] Operation: 75-2=73
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[2, 20], Operations: ['92-37=55', '75-55=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[92, 75, 37, 2], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [75, 2, 55]
Generated Node #0,0: 22:[75, 2, 55] Operation: 92-37=55
Moving to Node #0,0
Current State: 22:[75, 2, 55], Operations: ['92-37=55']
Exploring Operation: 75-55=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 22:[2, 20] Operation: 75-55=20
Moving to Node #0,0,0
Current State: 22:[2, 20], Operations: ['92-37=55', '75-55=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
68,
73,
47,
2
] | 89 | [
"73-68=5",
"47*2=94",
"94-5=89"
] | Current State: 89:[68, 73, 47, 2], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [47, 2, 5]
Generated Node #2: [47, 2, 5] from Operation: 73-68=5
Current State: 89:[47, 2, 5], Operations: ['73-68=5']
Exploring Operation: 47*2=94, Resulting Numbers: [5, 94]
Generated Node #3: [5, 94] from Operation: 47*2=94
Current State: 89:[5, 94], Operations: ['73-68=5', '47*2=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[68, 73, 47, 2], Operations: []
Exploring Operation: 47*2=94, Resulting Numbers: [68, 73, 94]
Generated Node #0,0: 89:[68, 73, 94] Operation: 47*2=94
Exploring Operation: 47+2=49, Resulting Numbers: [68, 73, 49]
Generated Node #0,1: 89:[68, 73, 49] Operation: 47+2=49
Exploring Operation: 68+2=70, Resulting Numbers: [73, 47, 70]
Generated Node #0,2: 89:[73, 47, 70] Operation: 68+2=70
Exploring Operation: 68-2=66, Resulting Numbers: [73, 47, 66]
Generated Node #0,3: 89:[73, 47, 66] Operation: 68-2=66
Exploring Operation: 73+2=75, Resulting Numbers: [68, 47, 75]
Generated Node #0,4: 89:[68, 47, 75] Operation: 73+2=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[68, 73, 94], Operations: ['47*2=94']
Exploring Operation: 68+94=162, Resulting Numbers: [73, 162]
Generated Node #0,0,0: 89:[73, 162] Operation: 68+94=162
Exploring Operation: 73-68=5, Resulting Numbers: [94, 5]
Generated Node #0,0,1: 89:[94, 5] Operation: 73-68=5
Exploring Operation: 94-68=26, Resulting Numbers: [73, 26]
Generated Node #0,0,2: 89:[73, 26] Operation: 94-68=26
Exploring Operation: 94-73=21, Resulting Numbers: [68, 21]
Generated Node #0,0,3: 89:[68, 21] Operation: 94-73=21
Exploring Operation: 68+73=141, Resulting Numbers: [94, 141]
Generated Node #0,0,4: 89:[94, 141] Operation: 68+73=141
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 89:[94, 141], Operations: ['47*2=94', '68+73=141']
Exploring Operation: 141-94=47, Resulting Numbers: [47]
47,89 unequal: No Solution
Exploring Operation: 94*141=13254, Resulting Numbers: [13254]
13254,89 unequal: No Solution
Exploring Operation: 94+141=235, Resulting Numbers: [235]
235,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[73, 26], Operations: ['47*2=94', '94-68=26']
Exploring Operation: 73*26=1898, Resulting Numbers: [1898]
1898,89 unequal: No Solution
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,89 unequal: No Solution
Exploring Operation: 73+26=99, Resulting Numbers: [99]
99,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[73, 162], Operations: ['47*2=94', '68+94=162']
Exploring Operation: 73+162=235, Resulting Numbers: [235]
235,89 unequal: No Solution
Exploring Operation: 162-73=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[68, 73, 47, 2], Operations: []
Exploring Operation: 47*2=94, Resulting Numbers: [68, 73, 94]
Generated Node #0,0: 89:[68, 73, 94] Operation: 47*2=94
Moving to Node #0,0
Current State: 89:[68, 73, 94], Operations: ['47*2=94']
Exploring Operation: 68+94=162, Resulting Numbers: [73, 162]
Generated Node #0,0,0: 89:[73, 162] Operation: 68+94=162
Moving to Node #0,0,0
Current State: 89:[73, 162], Operations: ['47*2=94', '68+94=162']
Exploring Operation: 162-73=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
70,
97,
3,
92
] | 78 | [
"70+97=167",
"92-3=89",
"167-89=78"
] | Current State: 78:[70, 97, 3, 92], Operations: []
Exploring Operation: 70+97=167, Resulting Numbers: [3, 92, 167]
Generated Node #2: [3, 92, 167] from Operation: 70+97=167
Current State: 78:[3, 92, 167], Operations: ['70+97=167']
Exploring Operation: 92-3=89, Resulting Numbers: [167, 89]
Generated Node #3: [167, 89] from Operation: 92-3=89
Current State: 78:[167, 89], Operations: ['70+97=167', '92-3=89']
Exploring Operation: 167-89=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[70, 97, 3, 92], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [70, 3, 5]
Generated Node #0,0: 78:[70, 3, 5] Operation: 97-92=5
Exploring Operation: 97-70=27, Resulting Numbers: [3, 92, 27]
Generated Node #0,1: 78:[3, 92, 27] Operation: 97-70=27
Exploring Operation: 92-70=22, Resulting Numbers: [97, 3, 22]
Generated Node #0,2: 78:[97, 3, 22] Operation: 92-70=22
Exploring Operation: 97-3=94, Resulting Numbers: [70, 92, 94]
Generated Node #0,3: 78:[70, 92, 94] Operation: 97-3=94
Exploring Operation: 70+3=73, Resulting Numbers: [97, 92, 73]
Generated Node #0,4: 78:[97, 92, 73] Operation: 70+3=73
Moving to Node #0,0
Current State: 78:[70, 3, 5], Operations: ['97-92=5']
Exploring Operation: 3+5=8, Resulting Numbers: [70, 8]
Generated Node #0,0,0: 78:[70, 8] Operation: 3+5=8
Exploring Operation: 70+5=75, Resulting Numbers: [3, 75]
Generated Node #0,0,1: 78:[3, 75] Operation: 70+5=75
Exploring Operation: 5-3=2, Resulting Numbers: [70, 2]
Generated Node #0,0,2: 78:[70, 2] Operation: 5-3=2
Exploring Operation: 70/5=14, Resulting Numbers: [3, 14]
Generated Node #0,0,3: 78:[3, 14] Operation: 70/5=14
Exploring Operation: 70+3=73, Resulting Numbers: [5, 73]
Generated Node #0,0,4: 78:[5, 73] Operation: 70+3=73
Moving to Node #0,1
Current State: 78:[3, 92, 27], Operations: ['97-70=27']
Exploring Operation: 27/3=9, Resulting Numbers: [92, 9]
Generated Node #0,1,0: 78:[92, 9] Operation: 27/3=9
Exploring Operation: 3*27=81, Resulting Numbers: [92, 81]
Generated Node #0,1,1: 78:[92, 81] Operation: 3*27=81
Exploring Operation: 92-27=65, Resulting Numbers: [3, 65]
Generated Node #0,1,2: 78:[3, 65] Operation: 92-27=65
Exploring Operation: 27-3=24, Resulting Numbers: [92, 24]
Generated Node #0,1,3: 78:[92, 24] Operation: 27-3=24
Exploring Operation: 92-3=89, Resulting Numbers: [27, 89]
Generated Node #0,1,4: 78:[27, 89] Operation: 92-3=89
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 78:[27, 89], Operations: ['97-70=27', '92-3=89']
Exploring Operation: 27+89=116, Resulting Numbers: [116]
116,78 unequal: No Solution
Exploring Operation: 27*89=2403, Resulting Numbers: [2403]
2403,78 unequal: No Solution
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[3, 65], Operations: ['97-70=27', '92-27=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,78 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,78 unequal: No Solution
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 78:[92, 24], Operations: ['97-70=27', '27-3=24']
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,78 unequal: No Solution
Exploring Operation: 92+24=116, Resulting Numbers: [116]
116,78 unequal: No Solution
Exploring Operation: 92*24=2208, Resulting Numbers: [2208]
2208,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[92, 9], Operations: ['97-70=27', '27/3=9']
Exploring Operation: 92*9=828, Resulting Numbers: [828]
828,78 unequal: No Solution
Exploring Operation: 92+9=101, Resulting Numbers: [101]
101,78 unequal: No Solution
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[92, 81], Operations: ['97-70=27', '3*27=81']
Exploring Operation: 92*81=7452, Resulting Numbers: [7452]
7452,78 unequal: No Solution
Exploring Operation: 92-81=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 92+81=173, Resulting Numbers: [173]
173,78 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: 78:[97, 3, 22], Operations: ['92-70=22']
Exploring Operation: 97-22=75, Resulting Numbers: [3, 75]
Generated Node #0,2,0: 78:[3, 75] Operation: 97-22=75
Exploring Operation: 97+3=100, Resulting Numbers: [22, 100]
Generated Node #0,2,1: 78:[22, 100] Operation: 97+3=100
Exploring Operation: 97-3=94, Resulting Numbers: [22, 94]
Generated Node #0,2,2: 78:[22, 94] Operation: 97-3=94
Exploring Operation: 3+22=25, Resulting Numbers: [97, 25]
Generated Node #0,2,3: 78:[97, 25] Operation: 3+22=25
Exploring Operation: 22-3=19, Resulting Numbers: [97, 19]
Generated Node #0,2,4: 78:[97, 19] Operation: 22-3=19
Moving to Node #0,3
Current State: 78:[70, 92, 94], Operations: ['97-3=94']
Exploring Operation: 92-70=22, Resulting Numbers: [94, 22]
Generated Node #0,3,0: 78:[94, 22] Operation: 92-70=22
Exploring Operation: 70+92=162, Resulting Numbers: [94, 162]
Generated Node #0,3,1: 78:[94, 162] Operation: 70+92=162
Exploring Operation: 70+94=164, Resulting Numbers: [92, 164]
Generated Node #0,3,2: 78:[92, 164] Operation: 70+94=164
Exploring Operation: 94-92=2, Resulting Numbers: [70, 2]
Generated Node #0,3,3: 78:[70, 2] Operation: 94-92=2
Exploring Operation: 94-70=24, Resulting Numbers: [92, 24]
Generated Node #0,3,4: 78:[92, 24] Operation: 94-70=24
Moving to Node #0,4
Current State: 78:[97, 92, 73], Operations: ['70+3=73']
Exploring Operation: 97-92=5, Resulting Numbers: [73, 5]
Generated Node #0,4,0: 78:[73, 5] Operation: 97-92=5
Exploring Operation: 97+73=170, Resulting Numbers: [92, 170]
Generated Node #0,4,1: 78:[92, 170] Operation: 97+73=170
Exploring Operation: 97-73=24, Resulting Numbers: [92, 24]
Generated Node #0,4,2: 78:[92, 24] Operation: 97-73=24
Exploring Operation: 92+73=165, Resulting Numbers: [97, 165]
Generated Node #0,4,3: 78:[97, 165] Operation: 92+73=165
Exploring Operation: 92-73=19, Resulting Numbers: [97, 19]
Generated Node #0,4,4: 78:[97, 19] Operation: 92-73=19
Moving to Node #0,0,3
Current State: 78:[3, 14], Operations: ['97-92=5', '70/5=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[3, 75], Operations: ['92-70=22', '97-22=75']
Exploring Operation: 3*75=225, Resulting Numbers: [225]
225,78 unequal: No Solution
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,78 unequal: No Solution
Exploring Operation: 3+75=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[70, 97, 3, 92], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [97, 3, 22]
Generated Node #0,2: 78:[97, 3, 22] Operation: 92-70=22
Moving to Node #0,2
Current State: 78:[97, 3, 22], Operations: ['92-70=22']
Exploring Operation: 97-22=75, Resulting Numbers: [3, 75]
Generated Node #0,2,0: 78:[3, 75] Operation: 97-22=75
Moving to Node #0,2,0
Current State: 78:[3, 75], Operations: ['92-70=22', '97-22=75']
Exploring Operation: 3+75=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.951389 | hs_5 | sum_heuristic |
[
10,
3,
22,
60
] | 48 | [
"60/10=6",
"22-6=16",
"3*16=48"
] | Current State: 48:[10, 3, 22, 60], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [3, 22, 6]
Generated Node #2: [3, 22, 6] from Operation: 60/10=6
Current State: 48:[3, 22, 6], Operations: ['60/10=6']
Exploring Operation: 22-6=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 22-6=16
Current State: 48:[3, 16], Operations: ['60/10=6', '22-6=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[10, 3, 22, 60], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [3, 22, 6]
Generated Node #0,0: 48:[3, 22, 6] Operation: 60/10=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[3, 22, 6], Operations: ['60/10=6']
Exploring Operation: 22-6=16, Resulting Numbers: [3, 16]
Generated Node #0,0,0: 48:[3, 16] Operation: 22-6=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[3, 16], Operations: ['60/10=6', '22-6=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[10, 3, 22, 60], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [3, 22, 6]
Generated Node #0,0: 48:[3, 22, 6] Operation: 60/10=6
Moving to Node #0,0
Current State: 48:[3, 22, 6], Operations: ['60/10=6']
Exploring Operation: 22-6=16, Resulting Numbers: [3, 16]
Generated Node #0,0,0: 48:[3, 16] Operation: 22-6=16
Moving to Node #0,0,0
Current State: 48:[3, 16], Operations: ['60/10=6', '22-6=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
49,
62,
47,
87
] | 23 | [
"49+62=111",
"47+87=134",
"134-111=23"
] | Current State: 23:[49, 62, 47, 87], Operations: []
Exploring Operation: 49+62=111, Resulting Numbers: [47, 87, 111]
Generated Node #2: [47, 87, 111] from Operation: 49+62=111
Current State: 23:[47, 87, 111], Operations: ['49+62=111']
Exploring Operation: 47+87=134, Resulting Numbers: [111, 134]
Generated Node #3: [111, 134] from Operation: 47+87=134
Current State: 23:[111, 134], Operations: ['49+62=111', '47+87=134']
Exploring Operation: 134-111=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[49, 62, 47, 87], Operations: []
Exploring Operation: 87-62=25, Resulting Numbers: [49, 47, 25]
Generated Node #0,0: 23:[49, 47, 25] Operation: 87-62=25
Exploring Operation: 87-49=38, Resulting Numbers: [62, 47, 38]
Generated Node #0,1: 23:[62, 47, 38] Operation: 87-49=38
Exploring Operation: 87-47=40, Resulting Numbers: [49, 62, 40]
Generated Node #0,2: 23:[49, 62, 40] Operation: 87-47=40
Moving to Node #0,0
Current State: 23:[49, 47, 25], Operations: ['87-62=25']
Exploring Operation: 47-25=22, Resulting Numbers: [49, 22]
Generated Node #0,0,0: 23:[49, 22] Operation: 47-25=22
Exploring Operation: 49-47=2, Resulting Numbers: [25, 2]
Generated Node #0,0,1: 23:[25, 2] Operation: 49-47=2
Exploring Operation: 49-25=24, Resulting Numbers: [47, 24]
Generated Node #0,0,2: 23:[47, 24] Operation: 49-25=24
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[25, 2], Operations: ['87-62=25', '49-47=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[49, 62, 47, 87], Operations: []
Exploring Operation: 87-62=25, Resulting Numbers: [49, 47, 25]
Generated Node #0,0: 23:[49, 47, 25] Operation: 87-62=25
Moving to Node #0,0
Current State: 23:[49, 47, 25], Operations: ['87-62=25']
Exploring Operation: 49-47=2, Resulting Numbers: [25, 2]
Generated Node #0,0,1: 23:[25, 2] Operation: 49-47=2
Moving to Node #0,0,1
Current State: 23:[25, 2], Operations: ['87-62=25', '49-47=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
73,
77,
80,
79
] | 18 | [
"79-73=6",
"80-77=3",
"6*3=18"
] | Current State: 18:[73, 77, 80, 79], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [77, 80, 6]
Generated Node #2: [77, 80, 6] from Operation: 79-73=6
Current State: 18:[77, 80, 6], Operations: ['79-73=6']
Exploring Operation: 80-77=3, Resulting Numbers: [6, 3]
Generated Node #3: [6, 3] from Operation: 80-77=3
Current State: 18:[6, 3], Operations: ['79-73=6', '80-77=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[73, 77, 80, 79], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [73, 77, 1]
Generated Node #0,0: 18:[73, 77, 1] Operation: 80-79=1
Exploring Operation: 80-77=3, Resulting Numbers: [73, 79, 3]
Generated Node #0,1: 18:[73, 79, 3] Operation: 80-77=3
Moving to Node #0,0
Current State: 18:[73, 77, 1], Operations: ['80-79=1']
Exploring Operation: 77-73=4, Resulting Numbers: [1, 4]
Generated Node #0,0,0: 18:[1, 4] Operation: 77-73=4
Exploring Operation: 73-1=72, Resulting Numbers: [77, 72]
Generated Node #0,0,1: 18:[77, 72] Operation: 73-1=72
Moving to Node #0,1
Current State: 18:[73, 79, 3], Operations: ['80-77=3']
Exploring Operation: 79-73=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 18:[3, 6] Operation: 79-73=6
Exploring Operation: 73-3=70, Resulting Numbers: [79, 70]
Generated Node #0,1,1: 18:[79, 70] Operation: 73-3=70
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[3, 6], Operations: ['80-77=3', '79-73=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[73, 77, 80, 79], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [73, 79, 3]
Generated Node #0,1: 18:[73, 79, 3] Operation: 80-77=3
Moving to Node #0,1
Current State: 18:[73, 79, 3], Operations: ['80-77=3']
Exploring Operation: 79-73=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 18:[3, 6] Operation: 79-73=6
Moving to Node #0,1,0
Current State: 18:[3, 6], Operations: ['80-77=3', '79-73=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
55,
18,
70,
66
] | 85 | [
"55*18=990",
"990/66=15",
"70+15=85"
] | Current State: 85:[55, 18, 70, 66], Operations: []
Exploring Operation: 55*18=990, Resulting Numbers: [70, 66, 990]
Generated Node #2: [70, 66, 990] from Operation: 55*18=990
Current State: 85:[70, 66, 990], Operations: ['55*18=990']
Exploring Operation: 990/66=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 990/66=15
Current State: 85:[70, 15], Operations: ['55*18=990', '990/66=15']
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[55, 18, 70, 66], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [18, 66, 15]
Generated Node #0,0: 85:[18, 66, 15] Operation: 70-55=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[18, 66, 15], Operations: ['70-55=15']
Exploring Operation: 18+66=84, Resulting Numbers: [15, 84]
Generated Node #0,0,0: 85:[15, 84] Operation: 18+66=84
Moving to Node #0,0,0
Current State: 85:[15, 84], Operations: ['70-55=15', '18+66=84']
Exploring Operation: 15+84=99, Resulting Numbers: [99]
99,85 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 |
[
40,
27,
5,
50
] | 29 | [
"50-40=10",
"10/5=2",
"27+2=29"
] | Current State: 29:[40, 27, 5, 50], Operations: []
Exploring Operation: 50-40=10, Resulting Numbers: [27, 5, 10]
Generated Node #2: [27, 5, 10] from Operation: 50-40=10
Current State: 29:[27, 5, 10], Operations: ['50-40=10']
Exploring Operation: 10/5=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 10/5=2
Current State: 29:[27, 2], Operations: ['50-40=10', '10/5=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[40, 27, 5, 50], Operations: []
Exploring Operation: 50-5=45, Resulting Numbers: [40, 27, 45]
Generated Node #0,0: 29:[40, 27, 45] Operation: 50-5=45
Exploring Operation: 50/5=10, Resulting Numbers: [40, 27, 10]
Generated Node #0,1: 29:[40, 27, 10] Operation: 50/5=10
Exploring Operation: 40-5=35, Resulting Numbers: [27, 50, 35]
Generated Node #0,2: 29:[27, 50, 35] Operation: 40-5=35
Moving to Node #0,0
Current State: 29:[40, 27, 45], Operations: ['50-5=45']
Exploring Operation: 45-40=5, Resulting Numbers: [27, 5]
Generated Node #0,0,0: 29:[27, 5] Operation: 45-40=5
Exploring Operation: 45-27=18, Resulting Numbers: [40, 18]
Generated Node #0,0,1: 29:[40, 18] Operation: 45-27=18
Exploring Operation: 40-27=13, Resulting Numbers: [45, 13]
Generated Node #0,0,2: 29:[45, 13] Operation: 40-27=13
Moving to Node #0,2
Current State: 29:[27, 50, 35], Operations: ['40-5=35']
Exploring Operation: 35-27=8, Resulting Numbers: [50, 8]
Generated Node #0,2,0: 29:[50, 8] Operation: 35-27=8
Exploring Operation: 50-35=15, Resulting Numbers: [27, 15]
Generated Node #0,2,1: 29:[27, 15] Operation: 50-35=15
Exploring Operation: 50-27=23, Resulting Numbers: [35, 23]
Generated Node #0,2,2: 29:[35, 23] Operation: 50-27=23
Moving to Node #0,1
Current State: 29:[40, 27, 10], Operations: ['50/5=10']
Exploring Operation: 40+10=50, Resulting Numbers: [27, 50]
Generated Node #0,1,0: 29:[27, 50] Operation: 40+10=50
Exploring Operation: 40-10=30, Resulting Numbers: [27, 30]
Generated Node #0,1,1: 29:[27, 30] Operation: 40-10=30
Exploring Operation: 27+10=37, Resulting Numbers: [40, 37]
Generated Node #0,1,2: 29:[40, 37] Operation: 27+10=37
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[27, 30], Operations: ['50/5=10', '40-10=30']
Exploring Operation: 27*30=810, Resulting Numbers: [810]
810,29 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 29:[40, 37], Operations: ['50/5=10', '27+10=37']
Exploring Operation: 40+37=77, Resulting Numbers: [77]
77,29 unequal: No Solution
Exploring Operation: 40-37=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 40*37=1480, Resulting Numbers: [1480]
1480,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[27, 50], Operations: ['50/5=10', '40+10=50']
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,29 unequal: No Solution
Exploring Operation: 27*50=1350, Resulting Numbers: [1350]
1350,29 unequal: No Solution
Exploring Operation: 27+50=77, Resulting Numbers: [77]
77,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 29:[35, 23], Operations: ['40-5=35', '50-27=23']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 35+23=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 35*23=805, Resulting Numbers: [805]
805,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[27, 15], Operations: ['40-5=35', '50-35=15']
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,29 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[40, 18], Operations: ['50-5=45', '45-27=18']
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 40*18=720, Resulting Numbers: [720]
720,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[27, 5], Operations: ['50-5=45', '45-40=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,29 unequal: No Solution
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[45, 13], Operations: ['50-5=45', '40-27=13']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,29 unequal: No Solution
Exploring Operation: 45+13=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 45*13=585, Resulting Numbers: [585]
585,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[50, 8], Operations: ['40-5=35', '35-27=8']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 50*8=400, Resulting Numbers: [400]
400,29 unequal: No Solution
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,29 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
37,
35,
61,
43
] | 36 | [
"37-35=2",
"61-43=18",
"2*18=36"
] | Current State: 36:[37, 35, 61, 43], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [61, 43, 2]
Generated Node #2: [61, 43, 2] from Operation: 37-35=2
Current State: 36:[61, 43, 2], Operations: ['37-35=2']
Exploring Operation: 61-43=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 61-43=18
Current State: 36:[2, 18], Operations: ['37-35=2', '61-43=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[37, 35, 61, 43], Operations: []
Exploring Operation: 61-43=18, Resulting Numbers: [37, 35, 18]
Generated Node #0,0: 36:[37, 35, 18] Operation: 61-43=18
Moving to Node #0,0
Current State: 36:[37, 35, 18], Operations: ['61-43=18']
Exploring Operation: 37-35=2, Resulting Numbers: [18, 2]
Generated Node #0,0,0: 36:[18, 2] Operation: 37-35=2
Moving to Node #0,0,0
Current State: 36:[18, 2], Operations: ['61-43=18', '37-35=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[37, 35, 61, 43], Operations: []
Exploring Operation: 61-43=18, Resulting Numbers: [37, 35, 18]
Generated Node #0,0: 36:[37, 35, 18] Operation: 61-43=18
Moving to Node #0,0
Current State: 36:[37, 35, 18], Operations: ['61-43=18']
Exploring Operation: 37-35=2, Resulting Numbers: [18, 2]
Generated Node #0,0,0: 36:[18, 2] Operation: 37-35=2
Moving to Node #0,0,0
Current State: 36:[18, 2], Operations: ['61-43=18', '37-35=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
50,
15,
75,
64
] | 74 | [
"50+15=65",
"75+64=139",
"139-65=74"
] | Current State: 74:[50, 15, 75, 64], Operations: []
Exploring Operation: 50+15=65, Resulting Numbers: [75, 64, 65]
Generated Node #2: [75, 64, 65] from Operation: 50+15=65
Current State: 74:[75, 64, 65], Operations: ['50+15=65']
Exploring Operation: 75+64=139, Resulting Numbers: [65, 139]
Generated Node #3: [65, 139] from Operation: 75+64=139
Current State: 74:[65, 139], Operations: ['50+15=65', '75+64=139']
Exploring Operation: 139-65=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[50, 15, 75, 64], Operations: []
Exploring Operation: 50-15=35, Resulting Numbers: [75, 64, 35]
Generated Node #0,0: 74:[75, 64, 35] Operation: 50-15=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[75, 64, 35], Operations: ['50-15=35']
Exploring Operation: 64-35=29, Resulting Numbers: [75, 29]
Generated Node #0,0,0: 74:[75, 29] Operation: 64-35=29
Moving to Node #0,0,0
Current State: 74:[75, 29], Operations: ['50-15=35', '64-35=29']
Exploring Operation: 75-29=46, Resulting Numbers: [46]
46,74 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 |
[
4,
84,
34,
38
] | 14 | [
"4*34=136",
"84+38=122",
"136-122=14"
] | Current State: 14:[4, 84, 34, 38], Operations: []
Exploring Operation: 4*34=136, Resulting Numbers: [84, 38, 136]
Generated Node #2: [84, 38, 136] from Operation: 4*34=136
Current State: 14:[84, 38, 136], Operations: ['4*34=136']
Exploring Operation: 84+38=122, Resulting Numbers: [136, 122]
Generated Node #3: [136, 122] from Operation: 84+38=122
Current State: 14:[136, 122], Operations: ['4*34=136', '84+38=122']
Exploring Operation: 136-122=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[4, 84, 34, 38], Operations: []
Exploring Operation: 84-34=50, Resulting Numbers: [4, 38, 50]
Generated Node #0,0: 14:[4, 38, 50] Operation: 84-34=50
Exploring Operation: 84-38=46, Resulting Numbers: [4, 34, 46]
Generated Node #0,1: 14:[4, 34, 46] Operation: 84-38=46
Exploring Operation: 38-34=4, Resulting Numbers: [4, 84, 4]
Generated Node #0,2: 14:[4, 84, 4] Operation: 38-34=4
Exploring Operation: 84/4=21, Resulting Numbers: [34, 38, 21]
Generated Node #0,3: 14:[34, 38, 21] Operation: 84/4=21
Moving to Node #0,3
Current State: 14:[34, 38, 21], Operations: ['84/4=21']
Exploring Operation: 38-34=4, Resulting Numbers: [21, 4]
Generated Node #0,3,0: 14:[21, 4] Operation: 38-34=4
Exploring Operation: 34-21=13, Resulting Numbers: [38, 13]
Generated Node #0,3,1: 14:[38, 13] Operation: 34-21=13
Exploring Operation: 34+38=72, Resulting Numbers: [21, 72]
Generated Node #0,3,2: 14:[21, 72] Operation: 34+38=72
Exploring Operation: 38-21=17, Resulting Numbers: [34, 17]
Generated Node #0,3,3: 14:[34, 17] Operation: 38-21=17
Moving to Node #0,1
Current State: 14:[4, 34, 46], Operations: ['84-38=46']
Exploring Operation: 34-4=30, Resulting Numbers: [46, 30]
Generated Node #0,1,0: 14:[46, 30] Operation: 34-4=30
Exploring Operation: 4+34=38, Resulting Numbers: [46, 38]
Generated Node #0,1,1: 14:[46, 38] Operation: 4+34=38
Exploring Operation: 46-4=42, Resulting Numbers: [34, 42]
Generated Node #0,1,2: 14:[34, 42] Operation: 46-4=42
Exploring Operation: 46-34=12, Resulting Numbers: [4, 12]
Generated Node #0,1,3: 14:[4, 12] Operation: 46-34=12
Moving to Node #0,0
Current State: 14:[4, 38, 50], Operations: ['84-34=50']
Exploring Operation: 50-38=12, Resulting Numbers: [4, 12]
Generated Node #0,0,0: 14:[4, 12] Operation: 50-38=12
Exploring Operation: 50-4=46, Resulting Numbers: [38, 46]
Generated Node #0,0,1: 14:[38, 46] Operation: 50-4=46
Exploring Operation: 38-4=34, Resulting Numbers: [50, 34]
Generated Node #0,0,2: 14:[50, 34] Operation: 38-4=34
Exploring Operation: 4+38=42, Resulting Numbers: [50, 42]
Generated Node #0,0,3: 14:[50, 42] Operation: 4+38=42
Moving to Node #0,2
Current State: 14:[4, 84, 4], Operations: ['38-34=4']
Exploring Operation: 84/4=21, Resulting Numbers: [4, 21]
Generated Node #0,2,0: 14:[4, 21] Operation: 84/4=21
Exploring Operation: 84-4=80, Resulting Numbers: [4, 80]
Generated Node #0,2,1: 14:[4, 80] Operation: 84-4=80
Exploring Operation: 84/4=21, Resulting Numbers: [4, 21]
Generated Node #0,2,2: 14:[4, 21] Operation: 84/4=21
Exploring Operation: 84-4=80, Resulting Numbers: [4, 80]
Generated Node #0,2,3: 14:[4, 80] Operation: 84-4=80
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[4, 21], Operations: ['38-34=4', '84/4=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[4, 21], Operations: ['38-34=4', '84/4=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[4, 80], Operations: ['38-34=4', '84-4=80']
Exploring Operation: 4*80=320, Resulting Numbers: [320]
320,14 unequal: No Solution
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,14 unequal: No Solution
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 14:[4, 80], Operations: ['38-34=4', '84-4=80']
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,14 unequal: No Solution
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Exploring Operation: 4*80=320, Resulting Numbers: [320]
320,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 14:[4, 12], Operations: ['84-38=46', '46-34=12']
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[4, 12], Operations: ['84-34=50', '50-38=12']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Moving to Node #0,3,0
Current State: 14:[21, 4], Operations: ['84/4=21', '38-34=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,14 unequal: No Solution
Moving to Node #0,3,3
Current State: 14:[34, 17], Operations: ['84/4=21', '38-21=17']
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 34*17=578, Resulting Numbers: [578]
578,14 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Moving to Node #0,3,1
Current State: 14:[38, 13], Operations: ['84/4=21', '34-21=13']
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,14 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,14 unequal: No Solution
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,14 unequal: No Solution
Moving to Node #0,1,2
Current State: 14:[34, 42], Operations: ['84-38=46', '46-4=42']
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,14 unequal: No Solution
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 34*42=1428, Resulting Numbers: [1428]
1428,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[46, 30], Operations: ['84-38=46', '34-4=30']
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,14 unequal: No Solution
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,14 unequal: No Solution
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[38, 46], Operations: ['84-34=50', '50-4=46']
Exploring Operation: 38*46=1748, Resulting Numbers: [1748]
1748,14 unequal: No Solution
Exploring Operation: 38+46=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[50, 34], Operations: ['84-34=50', '38-4=34']
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,14 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[46, 38], Operations: ['84-38=46', '4+34=38']
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 46*38=1748, Resulting Numbers: [1748]
1748,14 unequal: No Solution
Exploring Operation: 46+38=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Moving to Node #0,0,3
Current State: 14:[50, 42], Operations: ['84-34=50', '4+38=42']
Exploring Operation: 50*42=2100, Resulting Numbers: [2100]
2100,14 unequal: No Solution
Exploring Operation: 50+42=92, Resulting Numbers: [92]
92,14 unequal: No Solution
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Moving to Node #0,3,2
Current State: 14:[21, 72], Operations: ['84/4=21', '34+38=72']
Exploring Operation: 21*72=1512, Resulting Numbers: [1512]
1512,14 unequal: No Solution
Exploring Operation: 21+72=93, Resulting Numbers: [93]
93,14 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,14 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
49,
15,
76,
8
] | 84 | [
"49+15=64",
"64/8=8",
"76+8=84"
] | Current State: 84:[49, 15, 76, 8], Operations: []
Exploring Operation: 49+15=64, Resulting Numbers: [76, 8, 64]
Generated Node #2: [76, 8, 64] from Operation: 49+15=64
Current State: 84:[76, 8, 64], Operations: ['49+15=64']
Exploring Operation: 64/8=8, Resulting Numbers: [76, 8]
Generated Node #3: [76, 8] from Operation: 64/8=8
Current State: 84:[76, 8], Operations: ['49+15=64', '64/8=8']
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[49, 15, 76, 8], Operations: []
Exploring Operation: 76-49=27, Resulting Numbers: [15, 8, 27]
Generated Node #0,0: 84:[15, 8, 27] Operation: 76-49=27
Exploring Operation: 76+8=84, Resulting Numbers: [49, 15, 84]
Generated Node #0,1: 84:[49, 15, 84] Operation: 76+8=84
Moving to Node #0,0
Current State: 84:[15, 8, 27], Operations: ['76-49=27']
Exploring Operation: 15-8=7, Resulting Numbers: [27, 7]
Generated Node #0,0,0: 84:[27, 7] Operation: 15-8=7
Exploring Operation: 15+27=42, Resulting Numbers: [8, 42]
Generated Node #0,0,1: 84:[8, 42] Operation: 15+27=42
Moving to Node #0,1
Current State: 84:[49, 15, 84], Operations: ['76+8=84']
Exploring Operation: 49-15=34, Resulting Numbers: [84, 34]
Generated Node #0,1,0: 84:[84, 34] Operation: 49-15=34
Exploring Operation: 84-49=35, Resulting Numbers: [15, 35]
Generated Node #0,1,1: 84:[15, 35] Operation: 84-49=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[84, 34], Operations: ['76+8=84', '49-15=34']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 84+34=118, Resulting Numbers: [118]
118,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[15, 35], Operations: ['76+8=84', '84-49=35']
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,84 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: 84:[27, 7], Operations: ['76-49=27', '15-8=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[8, 42], Operations: ['76-49=27', '15+27=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,84 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
18,
51,
12,
2
] | 55 | [
"18+51=69",
"12+2=14",
"69-14=55"
] | Current State: 55:[18, 51, 12, 2], Operations: []
Exploring Operation: 18+51=69, Resulting Numbers: [12, 2, 69]
Generated Node #2: [12, 2, 69] from Operation: 18+51=69
Current State: 55:[12, 2, 69], Operations: ['18+51=69']
Exploring Operation: 12+2=14, Resulting Numbers: [69, 14]
Generated Node #3: [69, 14] from Operation: 12+2=14
Current State: 55:[69, 14], Operations: ['18+51=69', '12+2=14']
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[18, 51, 12, 2], Operations: []
Exploring Operation: 18-12=6, Resulting Numbers: [51, 2, 6]
Generated Node #0,0: 55:[51, 2, 6] Operation: 18-12=6
Exploring Operation: 18/2=9, Resulting Numbers: [51, 12, 9]
Generated Node #0,1: 55:[51, 12, 9] Operation: 18/2=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[51, 12, 9], Operations: ['18/2=9']
Exploring Operation: 51+9=60, Resulting Numbers: [12, 60]
Generated Node #0,1,0: 55:[12, 60] Operation: 51+9=60
Exploring Operation: 12-9=3, Resulting Numbers: [51, 3]
Generated Node #0,1,1: 55:[51, 3] Operation: 12-9=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 55:[12, 60], Operations: ['18/2=9', '51+9=60']
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,55 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 #0,1,1
Current State: 55:[51, 3], Operations: ['18/2=9', '12-9=3']
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,55 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 #0,0
Current State: 55:[51, 2, 6], Operations: ['18-12=6']
Exploring Operation: 51+2=53, Resulting Numbers: [6, 53]
Generated Node #0,0,0: 55:[6, 53] Operation: 51+2=53
Exploring Operation: 51+6=57, Resulting Numbers: [2, 57]
Generated Node #0,0,1: 55:[2, 57] Operation: 51+6=57
Moving to Node #0,0,0
Current State: 55:[6, 53], Operations: ['18-12=6', '51+2=53']
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[2, 57], Operations: ['18-12=6', '51+6=57']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[18, 51, 12, 2], Operations: []
Exploring Operation: 18-12=6, Resulting Numbers: [51, 2, 6]
Generated Node #0,0: 55:[51, 2, 6] Operation: 18-12=6
Moving to Node #0,0
Current State: 55:[51, 2, 6], Operations: ['18-12=6']
Exploring Operation: 51+6=57, Resulting Numbers: [2, 57]
Generated Node #0,0,1: 55:[2, 57] Operation: 51+6=57
Moving to Node #0,0,1
Current State: 55:[2, 57], Operations: ['18-12=6', '51+6=57']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
87,
84,
71,
42
] | 57 | [
"87-84=3",
"42/3=14",
"71-14=57"
] | Current State: 57:[87, 84, 71, 42], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [71, 42, 3]
Generated Node #2: [71, 42, 3] from Operation: 87-84=3
Current State: 57:[71, 42, 3], Operations: ['87-84=3']
Exploring Operation: 42/3=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 42/3=14
Current State: 57:[71, 14], Operations: ['87-84=3', '42/3=14']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[87, 84, 71, 42], Operations: []
Exploring Operation: 87-71=16, Resulting Numbers: [84, 42, 16]
Generated Node #0,0: 57:[84, 42, 16] Operation: 87-71=16
Exploring Operation: 87-84=3, Resulting Numbers: [71, 42, 3]
Generated Node #0,1: 57:[71, 42, 3] Operation: 87-84=3
Exploring Operation: 84/42=2, Resulting Numbers: [87, 71, 2]
Generated Node #0,2: 57:[87, 71, 2] Operation: 84/42=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[71, 42, 3], Operations: ['87-84=3']
Exploring Operation: 71-42=29, Resulting Numbers: [3, 29]
Generated Node #0,1,0: 57:[3, 29] Operation: 71-42=29
Exploring Operation: 42/3=14, Resulting Numbers: [71, 14]
Generated Node #0,1,1: 57:[71, 14] Operation: 42/3=14
Exploring Operation: 71-3=68, Resulting Numbers: [42, 68]
Generated Node #0,1,2: 57:[42, 68] Operation: 71-3=68
Moving to Node #0,1,0
Current State: 57:[3, 29], Operations: ['87-84=3', '71-42=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,57 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[71, 14], Operations: ['87-84=3', '42/3=14']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[87, 84, 71, 42], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [71, 42, 3]
Generated Node #0,1: 57:[71, 42, 3] Operation: 87-84=3
Moving to Node #0,1
Current State: 57:[71, 42, 3], Operations: ['87-84=3']
Exploring Operation: 42/3=14, Resulting Numbers: [71, 14]
Generated Node #0,1,1: 57:[71, 14] Operation: 42/3=14
Moving to Node #0,1,1
Current State: 57:[71, 14], Operations: ['87-84=3', '42/3=14']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
69,
91,
34,
39
] | 95 | [
"91-69=22",
"34+39=73",
"22+73=95"
] | Current State: 95:[69, 91, 34, 39], Operations: []
Exploring Operation: 91-69=22, Resulting Numbers: [34, 39, 22]
Generated Node #2: [34, 39, 22] from Operation: 91-69=22
Current State: 95:[34, 39, 22], Operations: ['91-69=22']
Exploring Operation: 34+39=73, Resulting Numbers: [22, 73]
Generated Node #3: [22, 73] from Operation: 34+39=73
Current State: 95:[22, 73], Operations: ['91-69=22', '34+39=73']
Exploring Operation: 22+73=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[69, 91, 34, 39], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [91, 34, 30]
Generated Node #0,0: 95:[91, 34, 30] Operation: 69-39=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[91, 34, 30], Operations: ['69-39=30']
Exploring Operation: 34-30=4, Resulting Numbers: [91, 4]
Generated Node #0,0,0: 95:[91, 4] Operation: 34-30=4
Moving to Node #0,0,0
Current State: 95:[91, 4], Operations: ['69-39=30', '34-30=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[69, 91, 34, 39], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [91, 34, 30]
Generated Node #0,0: 95:[91, 34, 30] Operation: 69-39=30
Moving to Node #0,0
Current State: 95:[91, 34, 30], Operations: ['69-39=30']
Exploring Operation: 34-30=4, Resulting Numbers: [91, 4]
Generated Node #0,0,0: 95:[91, 4] Operation: 34-30=4
Moving to Node #0,0,0
Current State: 95:[91, 4], Operations: ['69-39=30', '34-30=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
56,
87,
7,
17
] | 98 | [
"87-56=31",
"31-17=14",
"7*14=98"
] | Current State: 98:[56, 87, 7, 17], Operations: []
Exploring Operation: 87-56=31, Resulting Numbers: [7, 17, 31]
Generated Node #2: [7, 17, 31] from Operation: 87-56=31
Current State: 98:[7, 17, 31], Operations: ['87-56=31']
Exploring Operation: 31-17=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 31-17=14
Current State: 98:[7, 14], Operations: ['87-56=31', '31-17=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[56, 87, 7, 17], Operations: []
Exploring Operation: 56-7=49, Resulting Numbers: [87, 17, 49]
Generated Node #0,0: 98:[87, 17, 49] Operation: 56-7=49
Exploring Operation: 56/7=8, Resulting Numbers: [87, 17, 8]
Generated Node #0,1: 98:[87, 17, 8] Operation: 56/7=8
Exploring Operation: 87+7=94, Resulting Numbers: [56, 17, 94]
Generated Node #0,2: 98:[56, 17, 94] Operation: 87+7=94
Exploring Operation: 87+17=104, Resulting Numbers: [56, 7, 104]
Generated Node #0,3: 98:[56, 7, 104] Operation: 87+17=104
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[56, 7, 104], Operations: ['87+17=104']
Exploring Operation: 104-56=48, Resulting Numbers: [7, 48]
Generated Node #0,3,0: 98:[7, 48] Operation: 104-56=48
Exploring Operation: 104-7=97, Resulting Numbers: [56, 97]
Generated Node #0,3,1: 98:[56, 97] Operation: 104-7=97
Exploring Operation: 56-7=49, Resulting Numbers: [104, 49]
Generated Node #0,3,2: 98:[104, 49] Operation: 56-7=49
Exploring Operation: 56/7=8, Resulting Numbers: [104, 8]
Generated Node #0,3,3: 98:[104, 8] Operation: 56/7=8
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 98:[7, 48], Operations: ['87+17=104', '104-56=48']
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,98 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:[104, 49], Operations: ['87+17=104', '56-7=49']
Exploring Operation: 104*49=5096, Resulting Numbers: [5096]
5096,98 unequal: No Solution
Exploring Operation: 104+49=153, Resulting Numbers: [153]
153,98 unequal: No Solution
Exploring Operation: 104-49=55, Resulting Numbers: [55]
55,98 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 #0,3,3
Current State: 98:[104, 8], Operations: ['87+17=104', '56/7=8']
Exploring Operation: 104/8=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 104+8=112, Resulting Numbers: [112]
112,98 unequal: No Solution
Exploring Operation: 104*8=832, Resulting Numbers: [832]
832,98 unequal: No Solution
Exploring Operation: 104-8=96, Resulting Numbers: [96]
96,98 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:[56, 97], Operations: ['87+17=104', '104-7=97']
Exploring Operation: 97-56=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 56*97=5432, Resulting Numbers: [5432]
5432,98 unequal: No Solution
Exploring Operation: 56+97=153, Resulting Numbers: [153]
153,98 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 #0,0
Current State: 98:[87, 17, 49], Operations: ['56-7=49']
Exploring Operation: 87-17=70, Resulting Numbers: [49, 70]
Generated Node #0,0,0: 98:[49, 70] Operation: 87-17=70
Exploring Operation: 87+17=104, Resulting Numbers: [49, 104]
Generated Node #0,0,1: 98:[49, 104] Operation: 87+17=104
Exploring Operation: 17+49=66, Resulting Numbers: [87, 66]
Generated Node #0,0,2: 98:[87, 66] Operation: 17+49=66
Exploring Operation: 87-49=38, Resulting Numbers: [17, 38]
Generated Node #0,0,3: 98:[17, 38] Operation: 87-49=38
Moving to Node #0,0,1
Current State: 98:[49, 104], Operations: ['56-7=49', '87+17=104']
Exploring Operation: 104-49=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Exploring Operation: 49+104=153, Resulting Numbers: [153]
153,98 unequal: No Solution
Exploring Operation: 49*104=5096, Resulting Numbers: [5096]
5096,98 unequal: No Solution
Moving to Node #0,0,3
Current State: 98:[17, 38], Operations: ['56-7=49', '87-49=38']
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,98 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[49, 70], Operations: ['56-7=49', '87-17=70']
Exploring Operation: 70-49=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 49*70=3430, Resulting Numbers: [3430]
3430,98 unequal: No Solution
Exploring Operation: 49+70=119, Resulting Numbers: [119]
119,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[87, 66], Operations: ['56-7=49', '17+49=66']
Exploring Operation: 87+66=153, Resulting Numbers: [153]
153,98 unequal: No Solution
Exploring Operation: 87*66=5742, Resulting Numbers: [5742]
5742,98 unequal: No Solution
Exploring Operation: 87-66=21, Resulting Numbers: [21]
21,98 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:[56, 17, 94], Operations: ['87+7=94']
Exploring Operation: 17+94=111, Resulting Numbers: [56, 111]
Generated Node #0,2,0: 98:[56, 111] Operation: 17+94=111
Exploring Operation: 56+17=73, Resulting Numbers: [94, 73]
Generated Node #0,2,1: 98:[94, 73] Operation: 56+17=73
Exploring Operation: 94-56=38, Resulting Numbers: [17, 38]
Generated Node #0,2,2: 98:[17, 38] Operation: 94-56=38
Exploring Operation: 56-17=39, Resulting Numbers: [94, 39]
Generated Node #0,2,3: 98:[94, 39] Operation: 56-17=39
Moving to Node #0,2,2
Current State: 98:[17, 38], Operations: ['87+7=94', '94-56=38']
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,98 unequal: No Solution
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[94, 39], Operations: ['87+7=94', '56-17=39']
Exploring Operation: 94+39=133, Resulting Numbers: [133]
133,98 unequal: No Solution
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Exploring Operation: 94*39=3666, Resulting Numbers: [3666]
3666,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[56, 111], Operations: ['87+7=94', '17+94=111']
Exploring Operation: 111-56=55, Resulting Numbers: [55]
55,98 unequal: No Solution
Exploring Operation: 56+111=167, Resulting Numbers: [167]
167,98 unequal: No Solution
Exploring Operation: 56*111=6216, Resulting Numbers: [6216]
6216,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[94, 73], Operations: ['87+7=94', '56+17=73']
Exploring Operation: 94-73=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 94*73=6862, Resulting Numbers: [6862]
6862,98 unequal: No Solution
Exploring Operation: 94+73=167, Resulting Numbers: [167]
167,98 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 #0,1
Current State: 98:[87, 17, 8], Operations: ['56/7=8']
Exploring Operation: 87+17=104, Resulting Numbers: [8, 104]
Generated Node #0,1,0: 98:[8, 104] Operation: 87+17=104
Exploring Operation: 87+8=95, Resulting Numbers: [17, 95]
Generated Node #0,1,1: 98:[17, 95] Operation: 87+8=95
Exploring Operation: 87-17=70, Resulting Numbers: [8, 70]
Generated Node #0,1,2: 98:[8, 70] Operation: 87-17=70
Exploring Operation: 17-8=9, Resulting Numbers: [87, 9]
Generated Node #0,1,3: 98:[87, 9] Operation: 17-8=9
Moving to Node #0,1,1
Current State: 98:[17, 95], Operations: ['56/7=8', '87+8=95']
Exploring Operation: 95-17=78, Resulting Numbers: [78]
78,98 unequal: No Solution
Exploring Operation: 17*95=1615, Resulting Numbers: [1615]
1615,98 unequal: No Solution
Exploring Operation: 17+95=112, Resulting Numbers: [112]
112,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[8, 104], Operations: ['56/7=8', '87+17=104']
Exploring Operation: 8+104=112, Resulting Numbers: [112]
112,98 unequal: No Solution
Exploring Operation: 104-8=96, Resulting Numbers: [96]
96,98 unequal: No Solution
Exploring Operation: 104/8=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 8*104=832, Resulting Numbers: [832]
832,98 unequal: No Solution
Moving to Node #0,1,3
Current State: 98:[87, 9], Operations: ['56/7=8', '17-8=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,98 unequal: No Solution
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,98 unequal: No Solution
Exploring Operation: 87*9=783, Resulting Numbers: [783]
783,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[8, 70], Operations: ['56/7=8', '87-17=70']
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,98 unequal: No Solution
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,98 unequal: No Solution
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
4,
90,
76,
37
] | 66 | [
"76-37=39",
"4*39=156",
"156-90=66"
] | Current State: 66:[4, 90, 76, 37], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [4, 90, 39]
Generated Node #2: [4, 90, 39] from Operation: 76-37=39
Current State: 66:[4, 90, 39], Operations: ['76-37=39']
Exploring Operation: 4*39=156, Resulting Numbers: [90, 156]
Generated Node #3: [90, 156] from Operation: 4*39=156
Current State: 66:[90, 156], Operations: ['76-37=39', '4*39=156']
Exploring Operation: 156-90=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[4, 90, 76, 37], Operations: []
Exploring Operation: 90-4=86, Resulting Numbers: [76, 37, 86]
Generated Node #0,0: 66:[76, 37, 86] Operation: 90-4=86
Exploring Operation: 90-37=53, Resulting Numbers: [4, 76, 53]
Generated Node #0,1: 66:[4, 76, 53] Operation: 90-37=53
Exploring Operation: 76-37=39, Resulting Numbers: [4, 90, 39]
Generated Node #0,2: 66:[4, 90, 39] Operation: 76-37=39
Exploring Operation: 76/4=19, Resulting Numbers: [90, 37, 19]
Generated Node #0,3: 66:[90, 37, 19] Operation: 76/4=19
Exploring Operation: 90-76=14, Resulting Numbers: [4, 37, 14]
Generated Node #0,4: 66:[4, 37, 14] Operation: 90-76=14
Moving to Node #0,4
Current State: 66:[4, 37, 14], Operations: ['90-76=14']
Exploring Operation: 37-14=23, Resulting Numbers: [4, 23]
Generated Node #0,4,0: 66:[4, 23] Operation: 37-14=23
Exploring Operation: 4+14=18, Resulting Numbers: [37, 18]
Generated Node #0,4,1: 66:[37, 18] Operation: 4+14=18
Exploring Operation: 14-4=10, Resulting Numbers: [37, 10]
Generated Node #0,4,2: 66:[37, 10] Operation: 14-4=10
Exploring Operation: 37-4=33, Resulting Numbers: [14, 33]
Generated Node #0,4,3: 66:[14, 33] Operation: 37-4=33
Exploring Operation: 4+37=41, Resulting Numbers: [14, 41]
Generated Node #0,4,4: 66:[14, 41] Operation: 4+37=41
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 66:[4, 23], Operations: ['90-76=14', '37-14=23']
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,66 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 66:[14, 33], Operations: ['90-76=14', '37-4=33']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 14*33=462, Resulting Numbers: [462]
462,66 unequal: No Solution
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 66:[37, 10], Operations: ['90-76=14', '14-4=10']
Exploring Operation: 37*10=370, Resulting Numbers: [370]
370,66 unequal: No Solution
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,66 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 66:[37, 18], Operations: ['90-76=14', '4+14=18']
Exploring Operation: 37*18=666, Resulting Numbers: [666]
666,66 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 66:[14, 41], Operations: ['90-76=14', '4+37=41']
Exploring Operation: 14+41=55, Resulting Numbers: [55]
55,66 unequal: No Solution
Exploring Operation: 14*41=574, Resulting Numbers: [574]
574,66 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 66:[4, 76, 53], Operations: ['90-37=53']
Exploring Operation: 76-53=23, Resulting Numbers: [4, 23]
Generated Node #0,1,0: 66:[4, 23] Operation: 76-53=23
Exploring Operation: 76-4=72, Resulting Numbers: [53, 72]
Generated Node #0,1,1: 66:[53, 72] Operation: 76-4=72
Exploring Operation: 4+53=57, Resulting Numbers: [76, 57]
Generated Node #0,1,2: 66:[76, 57] Operation: 4+53=57
Exploring Operation: 76/4=19, Resulting Numbers: [53, 19]
Generated Node #0,1,3: 66:[53, 19] Operation: 76/4=19
Exploring Operation: 53-4=49, Resulting Numbers: [76, 49]
Generated Node #0,1,4: 66:[76, 49] Operation: 53-4=49
Moving to Node #0,2
Current State: 66:[4, 90, 39], Operations: ['76-37=39']
Exploring Operation: 39-4=35, Resulting Numbers: [90, 35]
Generated Node #0,2,0: 66:[90, 35] Operation: 39-4=35
Exploring Operation: 90-4=86, Resulting Numbers: [39, 86]
Generated Node #0,2,1: 66:[39, 86] Operation: 90-4=86
Exploring Operation: 4+39=43, Resulting Numbers: [90, 43]
Generated Node #0,2,2: 66:[90, 43] Operation: 4+39=43
Exploring Operation: 90-39=51, Resulting Numbers: [4, 51]
Generated Node #0,2,3: 66:[4, 51] Operation: 90-39=51
Exploring Operation: 4+90=94, Resulting Numbers: [39, 94]
Generated Node #0,2,4: 66:[39, 94] Operation: 4+90=94
Moving to Node #0,3
Current State: 66:[90, 37, 19], Operations: ['76/4=19']
Exploring Operation: 37+19=56, Resulting Numbers: [90, 56]
Generated Node #0,3,0: 66:[90, 56] Operation: 37+19=56
Exploring Operation: 90-37=53, Resulting Numbers: [19, 53]
Generated Node #0,3,1: 66:[19, 53] Operation: 90-37=53
Exploring Operation: 90+19=109, Resulting Numbers: [37, 109]
Generated Node #0,3,2: 66:[37, 109] Operation: 90+19=109
Exploring Operation: 90-19=71, Resulting Numbers: [37, 71]
Generated Node #0,3,3: 66:[37, 71] Operation: 90-19=71
Exploring Operation: 37-19=18, Resulting Numbers: [90, 18]
Generated Node #0,3,4: 66:[90, 18] Operation: 37-19=18
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 66:[37, 71], Operations: ['76/4=19', '90-19=71']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Exploring Operation: 37+71=108, Resulting Numbers: [108]
108,66 unequal: No Solution
Exploring Operation: 37*71=2627, Resulting Numbers: [2627]
2627,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[19, 53], Operations: ['76/4=19', '90-37=53']
Exploring Operation: 19*53=1007, Resulting Numbers: [1007]
1007,66 unequal: No Solution
Exploring Operation: 19+53=72, Resulting Numbers: [72]
72,66 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 66:[90, 18], Operations: ['76/4=19', '37-19=18']
Exploring Operation: 90/18=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 90+18=108, Resulting Numbers: [108]
108,66 unequal: No Solution
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,66 unequal: No Solution
Exploring Operation: 90*18=1620, Resulting Numbers: [1620]
1620,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 66:[90, 56], Operations: ['76/4=19', '37+19=56']
Exploring Operation: 90-56=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Exploring Operation: 90*56=5040, Resulting Numbers: [5040]
5040,66 unequal: No Solution
Exploring Operation: 90+56=146, Resulting Numbers: [146]
146,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 66:[37, 109], Operations: ['76/4=19', '90+19=109']
Exploring Operation: 37*109=4033, Resulting Numbers: [4033]
4033,66 unequal: No Solution
Exploring Operation: 37+109=146, Resulting Numbers: [146]
146,66 unequal: No Solution
Exploring Operation: 109-37=72, Resulting Numbers: [72]
72,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 66:[76, 37, 86], Operations: ['90-4=86']
Exploring Operation: 86-37=49, Resulting Numbers: [76, 49]
Generated Node #0,0,0: 66:[76, 49] Operation: 86-37=49
Exploring Operation: 76+37=113, Resulting Numbers: [86, 113]
Generated Node #0,0,1: 66:[86, 113] Operation: 76+37=113
Exploring Operation: 37+86=123, Resulting Numbers: [76, 123]
Generated Node #0,0,2: 66:[76, 123] Operation: 37+86=123
Exploring Operation: 86-76=10, Resulting Numbers: [37, 10]
Generated Node #0,0,3: 66:[37, 10] Operation: 86-76=10
Exploring Operation: 76-37=39, Resulting Numbers: [86, 39]
Generated Node #0,0,4: 66:[86, 39] Operation: 76-37=39
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 66:[37, 10], Operations: ['90-4=86', '86-76=10']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,66 unequal: No Solution
Exploring Operation: 37*10=370, Resulting Numbers: [370]
370,66 unequal: No Solution
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[76, 49], Operations: ['90-4=86', '86-37=49']
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,66 unequal: No Solution
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,66 unequal: No Solution
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 66:[86, 39], Operations: ['90-4=86', '76-37=39']
Exploring Operation: 86*39=3354, Resulting Numbers: [3354]
3354,66 unequal: No Solution
Exploring Operation: 86+39=125, Resulting Numbers: [125]
125,66 unequal: No Solution
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[86, 113], Operations: ['90-4=86', '76+37=113']
Exploring Operation: 86+113=199, Resulting Numbers: [199]
199,66 unequal: No Solution
Exploring Operation: 86*113=9718, Resulting Numbers: [9718]
9718,66 unequal: No Solution
Exploring Operation: 113-86=27, Resulting Numbers: [27]
27,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 66:[76, 123], Operations: ['90-4=86', '37+86=123']
Exploring Operation: 76+123=199, Resulting Numbers: [199]
199,66 unequal: No Solution
Exploring Operation: 76*123=9348, Resulting Numbers: [9348]
9348,66 unequal: No Solution
Exploring Operation: 123-76=47, Resulting Numbers: [47]
47,66 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: 66:[4, 23], Operations: ['90-37=53', '76-53=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,66 unequal: No Solution
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,66 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Moving to Node #0,2,3
Current State: 66:[4, 51], Operations: ['76-37=39', '90-39=51']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,66 unequal: No Solution
Exploring Operation: 4*51=204, Resulting Numbers: [204]
204,66 unequal: No Solution
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[53, 19], Operations: ['90-37=53', '76/4=19']
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,66 unequal: No Solution
Exploring Operation: 53*19=1007, Resulting Numbers: [1007]
1007,66 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[53, 72], Operations: ['90-37=53', '76-4=72']
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 53*72=3816, Resulting Numbers: [3816]
3816,66 unequal: No Solution
Exploring Operation: 53+72=125, Resulting Numbers: [125]
125,66 unequal: No Solution
Moving to Node #0,1,2
Current State: 66:[76, 57], Operations: ['90-37=53', '4+53=57']
Exploring Operation: 76*57=4332, Resulting Numbers: [4332]
4332,66 unequal: No Solution
Exploring Operation: 76-57=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 76+57=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[90, 35], Operations: ['76-37=39', '39-4=35']
Exploring Operation: 90*35=3150, Resulting Numbers: [3150]
3150,66 unequal: No Solution
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,66 unequal: No Solution
Exploring Operation: 90+35=125, Resulting Numbers: [125]
125,66 unequal: No Solution
Moving to Node #0,1,4
Current State: 66:[76, 49], Operations: ['90-37=53', '53-4=49']
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,66 unequal: No Solution
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,66 unequal: No Solution
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[39, 86], Operations: ['76-37=39', '90-4=86']
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,66 unequal: No Solution
Exploring Operation: 39+86=125, Resulting Numbers: [125]
125,66 unequal: No Solution
Exploring Operation: 39*86=3354, Resulting Numbers: [3354]
3354,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[90, 43], Operations: ['76-37=39', '4+39=43']
Exploring Operation: 90+43=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,66 unequal: No Solution
Exploring Operation: 90*43=3870, Resulting Numbers: [3870]
3870,66 unequal: No Solution
Moving to Node #0,2,4
Current State: 66:[39, 94], Operations: ['76-37=39', '4+90=94']
Exploring Operation: 39+94=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,66 unequal: No Solution
Exploring Operation: 39*94=3666, Resulting Numbers: [3666]
3666,66 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
22,
8,
2,
34
] | 66 | [
"22+8=30",
"2+34=36",
"30+36=66"
] | Current State: 66:[22, 8, 2, 34], Operations: []
Exploring Operation: 22+8=30, Resulting Numbers: [2, 34, 30]
Generated Node #2: [2, 34, 30] from Operation: 22+8=30
Current State: 66:[2, 34, 30], Operations: ['22+8=30']
Exploring Operation: 2+34=36, Resulting Numbers: [30, 36]
Generated Node #3: [30, 36] from Operation: 2+34=36
Current State: 66:[30, 36], Operations: ['22+8=30', '2+34=36']
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[22, 8, 2, 34], Operations: []
Exploring Operation: 8-2=6, Resulting Numbers: [22, 34, 6]
Generated Node #0,0: 66:[22, 34, 6] Operation: 8-2=6
Exploring Operation: 34-22=12, Resulting Numbers: [8, 2, 12]
Generated Node #0,1: 66:[8, 2, 12] Operation: 34-22=12
Exploring Operation: 8/2=4, Resulting Numbers: [22, 34, 4]
Generated Node #0,2: 66:[22, 34, 4] Operation: 8/2=4
Exploring Operation: 8+2=10, Resulting Numbers: [22, 34, 10]
Generated Node #0,3: 66:[22, 34, 10] Operation: 8+2=10
Exploring Operation: 22/2=11, Resulting Numbers: [8, 34, 11]
Generated Node #0,4: 66:[8, 34, 11] Operation: 22/2=11
Moving to Node #0,0
Current State: 66:[22, 34, 6], Operations: ['8-2=6']
Exploring Operation: 34-22=12, Resulting Numbers: [6, 12]
Generated Node #0,0,0: 66:[6, 12] Operation: 34-22=12
Exploring Operation: 34-6=28, Resulting Numbers: [22, 28]
Generated Node #0,0,1: 66:[22, 28] Operation: 34-6=28
Exploring Operation: 22+6=28, Resulting Numbers: [34, 28]
Generated Node #0,0,2: 66:[34, 28] Operation: 22+6=28
Exploring Operation: 34+6=40, Resulting Numbers: [22, 40]
Generated Node #0,0,3: 66:[22, 40] Operation: 34+6=40
Exploring Operation: 22-6=16, Resulting Numbers: [34, 16]
Generated Node #0,0,4: 66:[34, 16] Operation: 22-6=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[6, 12], Operations: ['8-2=6', '34-22=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,66 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[22, 28], Operations: ['8-2=6', '34-6=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,66 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 66:[34, 28], Operations: ['8-2=6', '22+6=28']
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 34*28=952, Resulting Numbers: [952]
952,66 unequal: No Solution
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 66:[34, 16], Operations: ['8-2=6', '22-6=16']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 34+16=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 34*16=544, Resulting Numbers: [544]
544,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 66:[22, 40], Operations: ['8-2=6', '34+6=40']
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,66 unequal: No Solution
Exploring Operation: 22*40=880, Resulting Numbers: [880]
880,66 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,66 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: 66:[22, 34, 10], Operations: ['8+2=10']
Exploring Operation: 22+10=32, Resulting Numbers: [34, 32]
Generated Node #0,3,0: 66:[34, 32] Operation: 22+10=32
Exploring Operation: 34-10=24, Resulting Numbers: [22, 24]
Generated Node #0,3,1: 66:[22, 24] Operation: 34-10=24
Exploring Operation: 22-10=12, Resulting Numbers: [34, 12]
Generated Node #0,3,2: 66:[34, 12] Operation: 22-10=12
Exploring Operation: 22+34=56, Resulting Numbers: [10, 56]
Generated Node #0,3,3: 66:[10, 56] Operation: 22+34=56
Exploring Operation: 34-22=12, Resulting Numbers: [10, 12]
Generated Node #0,3,4: 66:[10, 12] Operation: 34-22=12
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 66:[34, 32], Operations: ['8+2=10', '22+10=32']
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[22, 8, 2, 34], Operations: []
Exploring Operation: 8+2=10, Resulting Numbers: [22, 34, 10]
Generated Node #0,3: 66:[22, 34, 10] Operation: 8+2=10
Moving to Node #0,3
Current State: 66:[22, 34, 10], Operations: ['8+2=10']
Exploring Operation: 22+10=32, Resulting Numbers: [34, 32]
Generated Node #0,3,0: 66:[34, 32] Operation: 22+10=32
Moving to Node #0,3,0
Current State: 66:[34, 32], Operations: ['8+2=10', '22+10=32']
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
24,
51,
82,
55
] | 14 | [
"55-51=4",
"24*4=96",
"96-82=14"
] | Current State: 14:[24, 51, 82, 55], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [24, 82, 4]
Generated Node #2: [24, 82, 4] from Operation: 55-51=4
Current State: 14:[24, 82, 4], Operations: ['55-51=4']
Exploring Operation: 24*4=96, Resulting Numbers: [82, 96]
Generated Node #3: [82, 96] from Operation: 24*4=96
Current State: 14:[82, 96], Operations: ['55-51=4', '24*4=96']
Exploring Operation: 96-82=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[24, 51, 82, 55], Operations: []
Exploring Operation: 82-55=27, Resulting Numbers: [24, 51, 27]
Generated Node #0,0: 14:[24, 51, 27] Operation: 82-55=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[24, 51, 27], Operations: ['82-55=27']
Exploring Operation: 51-27=24, Resulting Numbers: [24, 24]
Generated Node #0,0,0: 14:[24, 24] Operation: 51-27=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[24, 24], Operations: ['82-55=27', '51-27=24']
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
96,
14,
85,
68
] | 65 | [
"96-14=82",
"85-68=17",
"82-17=65"
] | Current State: 65:[96, 14, 85, 68], Operations: []
Exploring Operation: 96-14=82, Resulting Numbers: [85, 68, 82]
Generated Node #2: [85, 68, 82] from Operation: 96-14=82
Current State: 65:[85, 68, 82], Operations: ['96-14=82']
Exploring Operation: 85-68=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 85-68=17
Current State: 65:[82, 17], Operations: ['96-14=82', '85-68=17']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[96, 14, 85, 68], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [14, 68, 11]
Generated Node #0,0: 65:[14, 68, 11] Operation: 96-85=11
Exploring Operation: 96-68=28, Resulting Numbers: [14, 85, 28]
Generated Node #0,1: 65:[14, 85, 28] Operation: 96-68=28
Exploring Operation: 85-68=17, Resulting Numbers: [96, 14, 17]
Generated Node #0,2: 65:[96, 14, 17] Operation: 85-68=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[14, 68, 11], Operations: ['96-85=11']
Exploring Operation: 68-14=54, Resulting Numbers: [11, 54]
Generated Node #0,0,0: 65:[11, 54] Operation: 68-14=54
Exploring Operation: 68-11=57, Resulting Numbers: [14, 57]
Generated Node #0,0,1: 65:[14, 57] Operation: 68-11=57
Exploring Operation: 14-11=3, Resulting Numbers: [68, 3]
Generated Node #0,0,2: 65:[68, 3] Operation: 14-11=3
Moving to Node #0,0,2
Current State: 65:[68, 3], Operations: ['96-85=11', '14-11=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[96, 14, 85, 68], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [14, 68, 11]
Generated Node #0,0: 65:[14, 68, 11] Operation: 96-85=11
Moving to Node #0,0
Current State: 65:[14, 68, 11], Operations: ['96-85=11']
Exploring Operation: 14-11=3, Resulting Numbers: [68, 3]
Generated Node #0,0,2: 65:[68, 3] Operation: 14-11=3
Moving to Node #0,0,2
Current State: 65:[68, 3], Operations: ['96-85=11', '14-11=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
83,
93,
56,
91
] | 45 | [
"93-83=10",
"91-56=35",
"10+35=45"
] | Current State: 45:[83, 93, 56, 91], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [56, 91, 10]
Generated Node #2: [56, 91, 10] from Operation: 93-83=10
Current State: 45:[56, 91, 10], Operations: ['93-83=10']
Exploring Operation: 91-56=35, Resulting Numbers: [10, 35]
Generated Node #3: [10, 35] from Operation: 91-56=35
Current State: 45:[10, 35], Operations: ['93-83=10', '91-56=35']
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[83, 93, 56, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [83, 56, 2]
Generated Node #0,0: 45:[83, 56, 2] Operation: 93-91=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[83, 56, 2], Operations: ['93-91=2']
Exploring Operation: 83-56=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 45:[2, 27] Operation: 83-56=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[2, 27], Operations: ['93-91=2', '83-56=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,45 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 |
[
96,
16,
21,
12
] | 13 | [
"96/12=8",
"21-16=5",
"8+5=13"
] | Current State: 13:[96, 16, 21, 12], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [16, 21, 8]
Generated Node #2: [16, 21, 8] from Operation: 96/12=8
Current State: 13:[16, 21, 8], Operations: ['96/12=8']
Exploring Operation: 21-16=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 21-16=5
Current State: 13:[8, 5], Operations: ['96/12=8', '21-16=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[96, 16, 21, 12], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [21, 12, 6]
Generated Node #0,0: 13:[21, 12, 6] Operation: 96/16=6
Exploring Operation: 96/12=8, Resulting Numbers: [16, 21, 8]
Generated Node #0,1: 13:[16, 21, 8] Operation: 96/12=8
Moving to Node #0,0
Current State: 13:[21, 12, 6], Operations: ['96/16=6']
Exploring Operation: 21-6=15, Resulting Numbers: [12, 15]
Generated Node #0,0,0: 13:[12, 15] Operation: 21-6=15
Exploring Operation: 21-12=9, Resulting Numbers: [6, 9]
Generated Node #0,0,1: 13:[6, 9] Operation: 21-12=9
Moving to Node #0,1
Current State: 13:[16, 21, 8], Operations: ['96/12=8']
Exploring Operation: 21-8=13, Resulting Numbers: [16, 13]
Generated Node #0,1,0: 13:[16, 13] Operation: 21-8=13
Exploring Operation: 21-16=5, Resulting Numbers: [8, 5]
Generated Node #0,1,1: 13:[8, 5] Operation: 21-16=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[16, 13], Operations: ['96/12=8', '21-8=13']
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[8, 5], Operations: ['96/12=8', '21-16=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[96, 16, 21, 12], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [16, 21, 8]
Generated Node #0,1: 13:[16, 21, 8] Operation: 96/12=8
Moving to Node #0,1
Current State: 13:[16, 21, 8], Operations: ['96/12=8']
Exploring Operation: 21-16=5, Resulting Numbers: [8, 5]
Generated Node #0,1,1: 13:[8, 5] Operation: 21-16=5
Moving to Node #0,1,1
Current State: 13:[8, 5], Operations: ['96/12=8', '21-16=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_2 | sum_heuristic |
[
26,
13,
91,
53
] | 23 | [
"13*53=689",
"689-91=598",
"598/26=23"
] | Current State: 23:[26, 13, 91, 53], Operations: []
Exploring Operation: 13*53=689, Resulting Numbers: [26, 91, 689]
Generated Node #2: [26, 91, 689] from Operation: 13*53=689
Current State: 23:[26, 91, 689], Operations: ['13*53=689']
Exploring Operation: 689-91=598, Resulting Numbers: [26, 598]
Generated Node #3: [26, 598] from Operation: 689-91=598
Current State: 23:[26, 598], Operations: ['13*53=689', '689-91=598']
Exploring Operation: 598/26=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[26, 13, 91, 53], Operations: []
Exploring Operation: 91-26=65, Resulting Numbers: [13, 53, 65]
Generated Node #0,0: 23:[13, 53, 65] Operation: 91-26=65
Exploring Operation: 53-26=27, Resulting Numbers: [13, 91, 27]
Generated Node #0,1: 23:[13, 91, 27] Operation: 53-26=27
Exploring Operation: 91-53=38, Resulting Numbers: [26, 13, 38]
Generated Node #0,2: 23:[26, 13, 38] Operation: 91-53=38
Exploring Operation: 91-13=78, Resulting Numbers: [26, 53, 78]
Generated Node #0,3: 23:[26, 53, 78] Operation: 91-13=78
Exploring Operation: 91/13=7, Resulting Numbers: [26, 53, 7]
Generated Node #0,4: 23:[26, 53, 7] Operation: 91/13=7
Moving to Node #0,2
Current State: 23:[26, 13, 38], Operations: ['91-53=38']
Exploring Operation: 38-13=25, Resulting Numbers: [26, 25]
Generated Node #0,2,0: 23:[26, 25] Operation: 38-13=25
Exploring Operation: 26+13=39, Resulting Numbers: [38, 39]
Generated Node #0,2,1: 23:[38, 39] Operation: 26+13=39
Exploring Operation: 38-26=12, Resulting Numbers: [13, 12]
Generated Node #0,2,2: 23:[13, 12] Operation: 38-26=12
Exploring Operation: 26-13=13, Resulting Numbers: [38, 13]
Generated Node #0,2,3: 23:[38, 13] Operation: 26-13=13
Exploring Operation: 13+38=51, Resulting Numbers: [26, 51]
Generated Node #0,2,4: 23:[26, 51] Operation: 13+38=51
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[26, 25], Operations: ['91-53=38', '38-13=25']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,23 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 23:[13, 12], Operations: ['91-53=38', '38-26=12']
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,23 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 23:[38, 13], Operations: ['91-53=38', '26-13=13']
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,23 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[38, 39], Operations: ['91-53=38', '26+13=39']
Exploring Operation: 38+39=77, Resulting Numbers: [77]
77,23 unequal: No Solution
Exploring Operation: 39-38=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 38*39=1482, Resulting Numbers: [1482]
1482,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 23:[26, 51], Operations: ['91-53=38', '13+38=51']
Exploring Operation: 26*51=1326, Resulting Numbers: [1326]
1326,23 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 26+51=77, Resulting Numbers: [77]
77,23 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: 23:[26, 53, 7], Operations: ['91/13=7']
Exploring Operation: 53+7=60, Resulting Numbers: [26, 60]
Generated Node #0,4,0: 23:[26, 60] Operation: 53+7=60
Exploring Operation: 26+7=33, Resulting Numbers: [53, 33]
Generated Node #0,4,1: 23:[53, 33] Operation: 26+7=33
Exploring Operation: 26-7=19, Resulting Numbers: [53, 19]
Generated Node #0,4,2: 23:[53, 19] Operation: 26-7=19
Exploring Operation: 53-26=27, Resulting Numbers: [7, 27]
Generated Node #0,4,3: 23:[7, 27] Operation: 53-26=27
Exploring Operation: 53-7=46, Resulting Numbers: [26, 46]
Generated Node #0,4,4: 23:[26, 46] Operation: 53-7=46
Moving to Node #0,0
Current State: 23:[13, 53, 65], Operations: ['91-26=65']
Exploring Operation: 65-13=52, Resulting Numbers: [53, 52]
Generated Node #0,0,0: 23:[53, 52] Operation: 65-13=52
Exploring Operation: 13+53=66, Resulting Numbers: [65, 66]
Generated Node #0,0,1: 23:[65, 66] Operation: 13+53=66
Exploring Operation: 65/13=5, Resulting Numbers: [53, 5]
Generated Node #0,0,2: 23:[53, 5] Operation: 65/13=5
Exploring Operation: 53-13=40, Resulting Numbers: [65, 40]
Generated Node #0,0,3: 23:[65, 40] Operation: 53-13=40
Exploring Operation: 65-53=12, Resulting Numbers: [13, 12]
Generated Node #0,0,4: 23:[13, 12] Operation: 65-53=12
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 23:[13, 12], Operations: ['91-26=65', '65-53=12']
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,23 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 23:[53, 5], Operations: ['91-26=65', '65/13=5']
Exploring Operation: 53*5=265, Resulting Numbers: [265]
265,23 unequal: No Solution
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[53, 52], Operations: ['91-26=65', '65-13=52']
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 53*52=2756, Resulting Numbers: [2756]
2756,23 unequal: No Solution
Exploring Operation: 53+52=105, Resulting Numbers: [105]
105,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 23:[65, 40], Operations: ['91-26=65', '53-13=40']
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 65*40=2600, Resulting Numbers: [2600]
2600,23 unequal: No Solution
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[65, 66], Operations: ['91-26=65', '13+53=66']
Exploring Operation: 65*66=4290, Resulting Numbers: [4290]
4290,23 unequal: No Solution
Exploring Operation: 66-65=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 65+66=131, Resulting Numbers: [131]
131,23 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: 23:[13, 91, 27], Operations: ['53-26=27']
Exploring Operation: 13+91=104, Resulting Numbers: [27, 104]
Generated Node #0,1,0: 23:[27, 104] Operation: 13+91=104
Exploring Operation: 27-13=14, Resulting Numbers: [91, 14]
Generated Node #0,1,1: 23:[91, 14] Operation: 27-13=14
Exploring Operation: 91/13=7, Resulting Numbers: [27, 7]
Generated Node #0,1,2: 23:[27, 7] Operation: 91/13=7
Exploring Operation: 91-13=78, Resulting Numbers: [27, 78]
Generated Node #0,1,3: 23:[27, 78] Operation: 91-13=78
Exploring Operation: 91-27=64, Resulting Numbers: [13, 64]
Generated Node #0,1,4: 23:[13, 64] Operation: 91-27=64
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 23:[27, 7], Operations: ['53-26=27', '91/13=7']
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,23 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 23:[13, 64], Operations: ['53-26=27', '91-27=64']
Exploring Operation: 64-13=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 13*64=832, Resulting Numbers: [832]
832,23 unequal: No Solution
Exploring Operation: 13+64=77, Resulting Numbers: [77]
77,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 23:[27, 78], Operations: ['53-26=27', '91-13=78']
Exploring Operation: 27*78=2106, Resulting Numbers: [2106]
2106,23 unequal: No Solution
Exploring Operation: 27+78=105, Resulting Numbers: [105]
105,23 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[91, 14], Operations: ['53-26=27', '27-13=14']
Exploring Operation: 91*14=1274, Resulting Numbers: [1274]
1274,23 unequal: No Solution
Exploring Operation: 91+14=105, Resulting Numbers: [105]
105,23 unequal: No Solution
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[27, 104], Operations: ['53-26=27', '13+91=104']
Exploring Operation: 27*104=2808, Resulting Numbers: [2808]
2808,23 unequal: No Solution
Exploring Operation: 27+104=131, Resulting Numbers: [131]
131,23 unequal: No Solution
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,23 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: 23:[26, 53, 78], Operations: ['91-13=78']
Exploring Operation: 78-26=52, Resulting Numbers: [53, 52]
Generated Node #0,3,0: 23:[53, 52] Operation: 78-26=52
Exploring Operation: 53-26=27, Resulting Numbers: [78, 27]
Generated Node #0,3,1: 23:[78, 27] Operation: 53-26=27
Exploring Operation: 78/26=3, Resulting Numbers: [53, 3]
Generated Node #0,3,2: 23:[53, 3] Operation: 78/26=3
Exploring Operation: 78-53=25, Resulting Numbers: [26, 25]
Generated Node #0,3,3: 23:[26, 25] Operation: 78-53=25
Exploring Operation: 26+53=79, Resulting Numbers: [78, 79]
Generated Node #0,3,4: 23:[78, 79] Operation: 26+53=79
Moving to Node #0,3,3
Current State: 23:[26, 25], Operations: ['91-13=78', '78-53=25']
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,23 unequal: No Solution
Moving to Node #0,4,3
Current State: 23:[7, 27], Operations: ['91/13=7', '53-26=27']
Exploring Operation: 7+27=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 7*27=189, Resulting Numbers: [189]
189,23 unequal: No Solution
Moving to Node #0,4,4
Current State: 23:[26, 46], Operations: ['91/13=7', '53-7=46']
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 26*46=1196, Resulting Numbers: [1196]
1196,23 unequal: No Solution
Exploring Operation: 26+46=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Moving to Node #0,4,2
Current State: 23:[53, 19], Operations: ['91/13=7', '26-7=19']
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Exploring Operation: 53*19=1007, Resulting Numbers: [1007]
1007,23 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Moving to Node #0,4,1
Current State: 23:[53, 33], Operations: ['91/13=7', '26+7=33']
Exploring Operation: 53*33=1749, Resulting Numbers: [1749]
1749,23 unequal: No Solution
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 53+33=86, Resulting Numbers: [86]
86,23 unequal: No Solution
Moving to Node #0,4,0
Current State: 23:[26, 60], Operations: ['91/13=7', '53+7=60']
Exploring Operation: 26+60=86, Resulting Numbers: [86]
86,23 unequal: No Solution
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 26*60=1560, Resulting Numbers: [1560]
1560,23 unequal: No Solution
Moving to Node #0,3,2
Current State: 23:[53, 3], Operations: ['91-13=78', '78/26=3']
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,23 unequal: No Solution
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Moving to Node #0,3,1
Current State: 23:[78, 27], Operations: ['91-13=78', '53-26=27']
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,23 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 78*27=2106, Resulting Numbers: [2106]
2106,23 unequal: No Solution
Moving to Node #0,3,0
Current State: 23:[53, 52], Operations: ['91-13=78', '78-26=52']
Exploring Operation: 53*52=2756, Resulting Numbers: [2756]
2756,23 unequal: No Solution
Exploring Operation: 53+52=105, Resulting Numbers: [105]
105,23 unequal: No Solution
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Moving to Node #0,3,4
Current State: 23:[78, 79], Operations: ['91-13=78', '26+53=79']
Exploring Operation: 78+79=157, Resulting Numbers: [157]
157,23 unequal: No Solution
Exploring Operation: 78*79=6162, Resulting Numbers: [6162]
6162,23 unequal: No Solution
Exploring Operation: 79-78=1, Resulting Numbers: [1]
1,23 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
96,
62,
57,
66
] | 35 | [
"96+62=158",
"57+66=123",
"158-123=35"
] | Current State: 35:[96, 62, 57, 66], Operations: []
Exploring Operation: 96+62=158, Resulting Numbers: [57, 66, 158]
Generated Node #2: [57, 66, 158] from Operation: 96+62=158
Current State: 35:[57, 66, 158], Operations: ['96+62=158']
Exploring Operation: 57+66=123, Resulting Numbers: [158, 123]
Generated Node #3: [158, 123] from Operation: 57+66=123
Current State: 35:[158, 123], Operations: ['96+62=158', '57+66=123']
Exploring Operation: 158-123=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[96, 62, 57, 66], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [96, 62, 9]
Generated Node #0,0: 35:[96, 62, 9] Operation: 66-57=9
Exploring Operation: 66-62=4, Resulting Numbers: [96, 57, 4]
Generated Node #0,1: 35:[96, 57, 4] Operation: 66-62=4
Exploring Operation: 96-57=39, Resulting Numbers: [62, 66, 39]
Generated Node #0,2: 35:[62, 66, 39] Operation: 96-57=39
Exploring Operation: 96-62=34, Resulting Numbers: [57, 66, 34]
Generated Node #0,3: 35:[57, 66, 34] Operation: 96-62=34
Exploring Operation: 96-66=30, Resulting Numbers: [62, 57, 30]
Generated Node #0,4: 35:[62, 57, 30] Operation: 96-66=30
Moving to Node #0,3
Current State: 35:[57, 66, 34], Operations: ['96-62=34']
Exploring Operation: 57+34=91, Resulting Numbers: [66, 91]
Generated Node #0,3,0: 35:[66, 91] Operation: 57+34=91
Exploring Operation: 66-57=9, Resulting Numbers: [34, 9]
Generated Node #0,3,1: 35:[34, 9] Operation: 66-57=9
Exploring Operation: 57-34=23, Resulting Numbers: [66, 23]
Generated Node #0,3,2: 35:[66, 23] Operation: 57-34=23
Exploring Operation: 66+34=100, Resulting Numbers: [57, 100]
Generated Node #0,3,3: 35:[57, 100] Operation: 66+34=100
Exploring Operation: 66-34=32, Resulting Numbers: [57, 32]
Generated Node #0,3,4: 35:[57, 32] Operation: 66-34=32
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[34, 9], Operations: ['96-62=34', '66-57=9']
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,35 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,35 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,35 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 #0,3,4
Current State: 35:[57, 32], Operations: ['96-62=34', '66-34=32']
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,35 unequal: No Solution
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,35 unequal: No Solution
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,35 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 #0,3,2
Current State: 35:[66, 23], Operations: ['96-62=34', '57-34=23']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,35 unequal: No Solution
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,35 unequal: No Solution
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,35 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 #0,3,0
Current State: 35:[66, 91], Operations: ['96-62=34', '57+34=91']
Exploring Operation: 66+91=157, Resulting Numbers: [157]
157,35 unequal: No Solution
Exploring Operation: 66*91=6006, Resulting Numbers: [6006]
6006,35 unequal: No Solution
Exploring Operation: 91-66=25, Resulting Numbers: [25]
25,35 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 #0,3,3
Current State: 35:[57, 100], Operations: ['96-62=34', '66+34=100']
Exploring Operation: 100-57=43, Resulting Numbers: [43]
43,35 unequal: No Solution
Exploring Operation: 57*100=5700, Resulting Numbers: [5700]
5700,35 unequal: No Solution
Exploring Operation: 57+100=157, Resulting Numbers: [157]
157,35 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: 35:[62, 57, 30], Operations: ['96-66=30']
Exploring Operation: 62+30=92, Resulting Numbers: [57, 92]
Generated Node #0,4,0: 35:[57, 92] Operation: 62+30=92
Exploring Operation: 62-57=5, Resulting Numbers: [30, 5]
Generated Node #0,4,1: 35:[30, 5] Operation: 62-57=5
Exploring Operation: 57-30=27, Resulting Numbers: [62, 27]
Generated Node #0,4,2: 35:[62, 27] Operation: 57-30=27
Exploring Operation: 62-30=32, Resulting Numbers: [57, 32]
Generated Node #0,4,3: 35:[57, 32] Operation: 62-30=32
Exploring Operation: 57+30=87, Resulting Numbers: [62, 87]
Generated Node #0,4,4: 35:[62, 87] Operation: 57+30=87
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 35:[30, 5], Operations: ['96-66=30', '62-57=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[96, 62, 57, 66], Operations: []
Exploring Operation: 96-66=30, Resulting Numbers: [62, 57, 30]
Generated Node #0,4: 35:[62, 57, 30] Operation: 96-66=30
Moving to Node #0,4
Current State: 35:[62, 57, 30], Operations: ['96-66=30']
Exploring Operation: 62-57=5, Resulting Numbers: [30, 5]
Generated Node #0,4,1: 35:[30, 5] Operation: 62-57=5
Moving to Node #0,4,1
Current State: 35:[30, 5], Operations: ['96-66=30', '62-57=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | sum_heuristic |
[
66,
2,
81,
49
] | 49 | [
"66+81=147",
"2*49=98",
"147-98=49"
] | Current State: 49:[66, 2, 81, 49], Operations: []
Exploring Operation: 66+81=147, Resulting Numbers: [2, 49, 147]
Generated Node #2: [2, 49, 147] from Operation: 66+81=147
Current State: 49:[2, 49, 147], Operations: ['66+81=147']
Exploring Operation: 2*49=98, Resulting Numbers: [147, 98]
Generated Node #3: [147, 98] from Operation: 2*49=98
Current State: 49:[147, 98], Operations: ['66+81=147', '2*49=98']
Exploring Operation: 147-98=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[66, 2, 81, 49], Operations: []
Exploring Operation: 66-2=64, Resulting Numbers: [81, 49, 64]
Generated Node #0,0: 49:[81, 49, 64] Operation: 66-2=64
Exploring Operation: 81-66=15, Resulting Numbers: [2, 49, 15]
Generated Node #0,1: 49:[2, 49, 15] Operation: 81-66=15
Exploring Operation: 81-49=32, Resulting Numbers: [66, 2, 32]
Generated Node #0,2: 49:[66, 2, 32] Operation: 81-49=32
Exploring Operation: 66-49=17, Resulting Numbers: [2, 81, 17]
Generated Node #0,3: 49:[2, 81, 17] Operation: 66-49=17
Moving to Node #0,1
Current State: 49:[2, 49, 15], Operations: ['81-66=15']
Exploring Operation: 2+15=17, Resulting Numbers: [49, 17]
Generated Node #0,1,0: 49:[49, 17] Operation: 2+15=17
Exploring Operation: 49-2=47, Resulting Numbers: [15, 47]
Generated Node #0,1,1: 49:[15, 47] Operation: 49-2=47
Exploring Operation: 2+49=51, Resulting Numbers: [15, 51]
Generated Node #0,1,2: 49:[15, 51] Operation: 2+49=51
Exploring Operation: 15-2=13, Resulting Numbers: [49, 13]
Generated Node #0,1,3: 49:[49, 13] Operation: 15-2=13
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 49:[49, 13], Operations: ['81-66=15', '15-2=13']
Exploring Operation: 49*13=637, Resulting Numbers: [637]
637,49 unequal: No Solution
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 49+13=62, Resulting Numbers: [62]
62,49 unequal: No Solution
No 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: 49:[49, 17], Operations: ['81-66=15', '2+15=17']
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 49*17=833, Resulting Numbers: [833]
833,49 unequal: No Solution
Exploring Operation: 49+17=66, Resulting Numbers: [66]
66,49 unequal: No Solution
No 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: 49:[15, 47], Operations: ['81-66=15', '49-2=47']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 15*47=705, Resulting Numbers: [705]
705,49 unequal: No Solution
Exploring Operation: 15+47=62, Resulting Numbers: [62]
62,49 unequal: No Solution
No 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: 49:[15, 51], Operations: ['81-66=15', '2+49=51']
Exploring Operation: 15+51=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 15*51=765, Resulting Numbers: [765]
765,49 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: 49:[66, 2, 32], Operations: ['81-49=32']
Exploring Operation: 66-2=64, Resulting Numbers: [32, 64]
Generated Node #0,2,0: 49:[32, 64] Operation: 66-2=64
Exploring Operation: 32/2=16, Resulting Numbers: [66, 16]
Generated Node #0,2,1: 49:[66, 16] Operation: 32/2=16
Exploring Operation: 66-32=34, Resulting Numbers: [2, 34]
Generated Node #0,2,2: 49:[2, 34] Operation: 66-32=34
Exploring Operation: 2+32=34, Resulting Numbers: [66, 34]
Generated Node #0,2,3: 49:[66, 34] Operation: 2+32=34
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[2, 34], Operations: ['81-49=32', '66-32=34']
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,49 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,49 unequal: No Solution
No 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: 49:[66, 16], Operations: ['81-49=32', '32/2=16']
Exploring Operation: 66+16=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 66*16=1056, Resulting Numbers: [1056]
1056,49 unequal: No Solution
No 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: 49:[32, 64], Operations: ['81-49=32', '66-2=64']
Exploring Operation: 32+64=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 64/32=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 32*64=2048, Resulting Numbers: [2048]
2048,49 unequal: No Solution
Exploring Operation: 64-32=32, Resulting Numbers: [32]
32,49 unequal: No Solution
No 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: 49:[66, 34], Operations: ['81-49=32', '2+32=34']
Exploring Operation: 66*34=2244, Resulting Numbers: [2244]
2244,49 unequal: No Solution
Exploring Operation: 66+34=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,49 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: 49:[2, 81, 17], Operations: ['66-49=17']
Exploring Operation: 17-2=15, Resulting Numbers: [81, 15]
Generated Node #0,3,0: 49:[81, 15] Operation: 17-2=15
Exploring Operation: 81-17=64, Resulting Numbers: [2, 64]
Generated Node #0,3,1: 49:[2, 64] Operation: 81-17=64
Exploring Operation: 81-2=79, Resulting Numbers: [17, 79]
Generated Node #0,3,2: 49:[17, 79] Operation: 81-2=79
Exploring Operation: 2+81=83, Resulting Numbers: [17, 83]
Generated Node #0,3,3: 49:[17, 83] Operation: 2+81=83
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 49:[2, 64], Operations: ['66-49=17', '81-17=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,49 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,49 unequal: No Solution
No 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: 49:[81, 15], Operations: ['66-49=17', '17-2=15']
Exploring Operation: 81+15=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 81*15=1215, Resulting Numbers: [1215]
1215,49 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,49 unequal: No Solution
No 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: 49:[17, 79], Operations: ['66-49=17', '81-2=79']
Exploring Operation: 17+79=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 17*79=1343, Resulting Numbers: [1343]
1343,49 unequal: No Solution
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,49 unequal: No Solution
No 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: 49:[17, 83], Operations: ['66-49=17', '2+81=83']
Exploring Operation: 17+83=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Exploring Operation: 17*83=1411, Resulting Numbers: [1411]
1411,49 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: 49:[81, 49, 64], Operations: ['66-2=64']
Exploring Operation: 81-49=32, Resulting Numbers: [64, 32]
Generated Node #0,0,0: 49:[64, 32] Operation: 81-49=32
Exploring Operation: 81-64=17, Resulting Numbers: [49, 17]
Generated Node #0,0,1: 49:[49, 17] Operation: 81-64=17
Exploring Operation: 64-49=15, Resulting Numbers: [81, 15]
Generated Node #0,0,2: 49:[81, 15] Operation: 64-49=15
Exploring Operation: 81+49=130, Resulting Numbers: [64, 130]
Generated Node #0,0,3: 49:[64, 130] Operation: 81+49=130
Moving to Node #0,0,1
Current State: 49:[49, 17], Operations: ['66-2=64', '81-64=17']
Exploring Operation: 49+17=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Exploring Operation: 49*17=833, Resulting Numbers: [833]
833,49 unequal: No Solution
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[64, 32], Operations: ['66-2=64', '81-49=32']
Exploring Operation: 64-32=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 64*32=2048, Resulting Numbers: [2048]
2048,49 unequal: No Solution
Exploring Operation: 64/32=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 64+32=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[81, 15], Operations: ['66-2=64', '64-49=15']
Exploring Operation: 81*15=1215, Resulting Numbers: [1215]
1215,49 unequal: No Solution
Exploring Operation: 81+15=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[64, 130], Operations: ['66-2=64', '81+49=130']
Exploring Operation: 64+130=194, Resulting Numbers: [194]
194,49 unequal: No Solution
Exploring Operation: 64*130=8320, Resulting Numbers: [8320]
8320,49 unequal: No Solution
Exploring Operation: 130-64=66, Resulting Numbers: [66]
66,49 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
46,
41,
93,
45
] | 38 | [
"93+45=138",
"138/46=3",
"41-3=38"
] | Current State: 38:[46, 41, 93, 45], Operations: []
Exploring Operation: 93+45=138, Resulting Numbers: [46, 41, 138]
Generated Node #2: [46, 41, 138] from Operation: 93+45=138
Current State: 38:[46, 41, 138], Operations: ['93+45=138']
Exploring Operation: 138/46=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 138/46=3
Current State: 38:[41, 3], Operations: ['93+45=138', '138/46=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[46, 41, 93, 45], Operations: []
Exploring Operation: 93-46=47, Resulting Numbers: [41, 45, 47]
Generated Node #0,0: 38:[41, 45, 47] Operation: 93-46=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[41, 45, 47], Operations: ['93-46=47']
Exploring Operation: 47-45=2, Resulting Numbers: [41, 2]
Generated Node #0,0,0: 38:[41, 2] Operation: 47-45=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[41, 2], Operations: ['93-46=47', '47-45=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
78,
25,
84,
84
] | 52 | [
"78-25=53",
"84/84=1",
"53-1=52"
] | Current State: 52:[78, 25, 84, 84], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [84, 84, 53]
Generated Node #2: [84, 84, 53] from Operation: 78-25=53
Current State: 52:[84, 84, 53], Operations: ['78-25=53']
Exploring Operation: 84/84=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 84/84=1
Current State: 52:[53, 1], Operations: ['78-25=53', '84/84=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[78, 25, 84, 84], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [25, 84, 6]
Generated Node #0,0: 52:[25, 84, 6] Operation: 84-78=6
Exploring Operation: 84/84=1, Resulting Numbers: [78, 25, 1]
Generated Node #0,1: 52:[78, 25, 1] Operation: 84/84=1
Exploring Operation: 84-78=6, Resulting Numbers: [25, 84, 6]
Generated Node #0,2: 52:[25, 84, 6] Operation: 84-78=6
Exploring Operation: 84-84=0, Resulting Numbers: [78, 25, 0]
Generated Node #0,3: 52:[78, 25, 0] Operation: 84-84=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[78, 25, 1], Operations: ['84/84=1']
Exploring Operation: 78-1=77, Resulting Numbers: [25, 77]
Generated Node #0,1,0: 52:[25, 77] Operation: 78-1=77
Exploring Operation: 78-25=53, Resulting Numbers: [1, 53]
Generated Node #0,1,1: 52:[1, 53] Operation: 78-25=53
Exploring Operation: 78*1=78, Resulting Numbers: [25, 78]
Generated Node #0,1,2: 52:[25, 78] Operation: 78*1=78
Exploring Operation: 25+1=26, Resulting Numbers: [78, 26]
Generated Node #0,1,3: 52:[78, 26] Operation: 25+1=26
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 52:[1, 53], Operations: ['84/84=1', '78-25=53']
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 1*53=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[78, 25, 84, 84], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [78, 25, 1]
Generated Node #0,1: 52:[78, 25, 1] Operation: 84/84=1
Moving to Node #0,1
Current State: 52:[78, 25, 1], Operations: ['84/84=1']
Exploring Operation: 78-25=53, Resulting Numbers: [1, 53]
Generated Node #0,1,1: 52:[1, 53] Operation: 78-25=53
Moving to Node #0,1,1
Current State: 52:[1, 53], Operations: ['84/84=1', '78-25=53']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
69,
24,
35,
26
] | 52 | [
"69+35=104",
"26-24=2",
"104/2=52"
] | Current State: 52:[69, 24, 35, 26], Operations: []
Exploring Operation: 69+35=104, Resulting Numbers: [24, 26, 104]
Generated Node #2: [24, 26, 104] from Operation: 69+35=104
Current State: 52:[24, 26, 104], Operations: ['69+35=104']
Exploring Operation: 26-24=2, Resulting Numbers: [104, 2]
Generated Node #3: [104, 2] from Operation: 26-24=2
Current State: 52:[104, 2], Operations: ['69+35=104', '26-24=2']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[69, 24, 35, 26], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [24, 26, 34]
Generated Node #0,0: 52:[24, 26, 34] Operation: 69-35=34
Exploring Operation: 69-24=45, Resulting Numbers: [35, 26, 45]
Generated Node #0,1: 52:[35, 26, 45] Operation: 69-24=45
Moving to Node #0,0
Current State: 52:[24, 26, 34], Operations: ['69-35=34']
Exploring Operation: 34-24=10, Resulting Numbers: [26, 10]
Generated Node #0,0,0: 52:[26, 10] Operation: 34-24=10
Exploring Operation: 24+34=58, Resulting Numbers: [26, 58]
Generated Node #0,0,1: 52:[26, 58] Operation: 24+34=58
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[26, 10], Operations: ['69-35=34', '34-24=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[26, 58], Operations: ['69-35=34', '24+34=58']
Exploring Operation: 26+58=84, Resulting Numbers: [84]
84,52 unequal: No Solution
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,52 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: 52:[35, 26, 45], Operations: ['69-24=45']
Exploring Operation: 45-35=10, Resulting Numbers: [26, 10]
Generated Node #0,1,0: 52:[26, 10] Operation: 45-35=10
Exploring Operation: 35-26=9, Resulting Numbers: [45, 9]
Generated Node #0,1,1: 52:[45, 9] Operation: 35-26=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[26, 10], Operations: ['69-24=45', '45-35=10']
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,52 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 52:[45, 9], Operations: ['69-24=45', '35-26=9']
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,52 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
84,
8,
28
] | 28 | [
"3*84=252",
"8*28=224",
"252-224=28"
] | Current State: 28:[3, 84, 8, 28], Operations: []
Exploring Operation: 3*84=252, Resulting Numbers: [8, 28, 252]
Generated Node #2: [8, 28, 252] from Operation: 3*84=252
Current State: 28:[8, 28, 252], Operations: ['3*84=252']
Exploring Operation: 8*28=224, Resulting Numbers: [252, 224]
Generated Node #3: [252, 224] from Operation: 8*28=224
Current State: 28:[252, 224], Operations: ['3*84=252', '8*28=224']
Exploring Operation: 252-224=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[3, 84, 8, 28], Operations: []
Exploring Operation: 84-28=56, Resulting Numbers: [3, 8, 56]
Generated Node #0,0: 28:[3, 8, 56] Operation: 84-28=56
Exploring Operation: 84/3=28, Resulting Numbers: [8, 28, 28]
Generated Node #0,1: 28:[8, 28, 28] Operation: 84/3=28
Exploring Operation: 84/28=3, Resulting Numbers: [3, 8, 3]
Generated Node #0,2: 28:[3, 8, 3] Operation: 84/28=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[8, 28, 28], Operations: ['84/3=28']
Exploring Operation: 28/28=1, Resulting Numbers: [8, 1]
Generated Node #0,1,0: 28:[8, 1] Operation: 28/28=1
Exploring Operation: 28-28=0, Resulting Numbers: [8, 0]
Generated Node #0,1,1: 28:[8, 0] Operation: 28-28=0
Exploring Operation: 28-8=20, Resulting Numbers: [28, 20]
Generated Node #0,1,2: 28:[28, 20] Operation: 28-8=20
Moving to Node #0,1,0
Current State: 28:[8, 1], Operations: ['84/3=28', '28/28=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[8, 0], Operations: ['84/3=28', '28-28=0']
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[28, 20], Operations: ['84/3=28', '28-8=20']
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,28 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[3, 8, 3], Operations: ['84/28=3']
Exploring Operation: 3+3=6, Resulting Numbers: [8, 6]
Generated Node #0,2,0: 28:[8, 6] Operation: 3+3=6
Exploring Operation: 8-3=5, Resulting Numbers: [3, 5]
Generated Node #0,2,1: 28:[3, 5] Operation: 8-3=5
Exploring Operation: 3/3=1, Resulting Numbers: [8, 1]
Generated Node #0,2,2: 28:[8, 1] Operation: 3/3=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[8, 6], Operations: ['84/28=3', '3+3=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 28:[3, 5], Operations: ['84/28=3', '8-3=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[8, 1], Operations: ['84/28=3', '3/3=1']
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[3, 8, 56], Operations: ['84-28=56']
Exploring Operation: 56-3=53, Resulting Numbers: [8, 53]
Generated Node #0,0,0: 28:[8, 53] Operation: 56-3=53
Exploring Operation: 56-8=48, Resulting Numbers: [3, 48]
Generated Node #0,0,1: 28:[3, 48] Operation: 56-8=48
Exploring Operation: 56/8=7, Resulting Numbers: [3, 7]
Generated Node #0,0,2: 28:[3, 7] Operation: 56/8=7
Moving to Node #0,0,2
Current State: 28:[3, 7], Operations: ['84-28=56', '56/8=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[3, 48], Operations: ['84-28=56', '56-8=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,28 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[8, 53], Operations: ['84-28=56', '56-3=53']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,28 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 |
[
9,
19,
93,
56
] | 27 | [
"19-9=10",
"93-56=37",
"37-10=27"
] | Current State: 27:[9, 19, 93, 56], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [93, 56, 10]
Generated Node #2: [93, 56, 10] from Operation: 19-9=10
Current State: 27:[93, 56, 10], Operations: ['19-9=10']
Exploring Operation: 93-56=37, Resulting Numbers: [10, 37]
Generated Node #3: [10, 37] from Operation: 93-56=37
Current State: 27:[10, 37], Operations: ['19-9=10', '93-56=37']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[9, 19, 93, 56], Operations: []
Exploring Operation: 93-19=74, Resulting Numbers: [9, 56, 74]
Generated Node #0,0: 27:[9, 56, 74] Operation: 93-19=74
Exploring Operation: 93-56=37, Resulting Numbers: [9, 19, 37]
Generated Node #0,1: 27:[9, 19, 37] Operation: 93-56=37
Exploring Operation: 56-19=37, Resulting Numbers: [9, 93, 37]
Generated Node #0,2: 27:[9, 93, 37] Operation: 56-19=37
Moving to Node #0,1
Current State: 27:[9, 19, 37], Operations: ['93-56=37']
Exploring Operation: 37-9=28, Resulting Numbers: [19, 28]
Generated Node #0,1,0: 27:[19, 28] Operation: 37-9=28
Exploring Operation: 9+19=28, Resulting Numbers: [37, 28]
Generated Node #0,1,1: 27:[37, 28] Operation: 9+19=28
Exploring Operation: 37-19=18, Resulting Numbers: [9, 18]
Generated Node #0,1,2: 27:[9, 18] Operation: 37-19=18
Moving to Node #0,0
Current State: 27:[9, 56, 74], Operations: ['93-19=74']
Exploring Operation: 74-56=18, Resulting Numbers: [9, 18]
Generated Node #0,0,0: 27:[9, 18] Operation: 74-56=18
Exploring Operation: 56-9=47, Resulting Numbers: [74, 47]
Generated Node #0,0,1: 27:[74, 47] Operation: 56-9=47
Exploring Operation: 74-9=65, Resulting Numbers: [56, 65]
Generated Node #0,0,2: 27:[56, 65] Operation: 74-9=65
Moving to Node #0,2
Current State: 27:[9, 93, 37], Operations: ['56-19=37']
Exploring Operation: 37-9=28, Resulting Numbers: [93, 28]
Generated Node #0,2,0: 27:[93, 28] Operation: 37-9=28
Exploring Operation: 93-9=84, Resulting Numbers: [37, 84]
Generated Node #0,2,1: 27:[37, 84] Operation: 93-9=84
Exploring Operation: 93-37=56, Resulting Numbers: [9, 56]
Generated Node #0,2,2: 27:[9, 56] Operation: 93-37=56
Moving to Node #0,1,0
Current State: 27:[19, 28], Operations: ['93-56=37', '37-9=28']
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,27 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[9, 18], Operations: ['93-56=37', '37-19=18']
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[9, 19, 93, 56], Operations: []
Exploring Operation: 93-56=37, Resulting Numbers: [9, 19, 37]
Generated Node #0,1: 27:[9, 19, 37] Operation: 93-56=37
Moving to Node #0,1
Current State: 27:[9, 19, 37], Operations: ['93-56=37']
Exploring Operation: 37-19=18, Resulting Numbers: [9, 18]
Generated Node #0,1,2: 27:[9, 18] Operation: 37-19=18
Moving to Node #0,1,2
Current State: 27:[9, 18], Operations: ['93-56=37', '37-19=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.981771 | hs_3 | mult_heuristic |
[
91,
81,
2,
22
] | 21 | [
"91-81=10",
"22/2=11",
"10+11=21"
] | Current State: 21:[91, 81, 2, 22], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [2, 22, 10]
Generated Node #2: [2, 22, 10] from Operation: 91-81=10
Current State: 21:[2, 22, 10], Operations: ['91-81=10']
Exploring Operation: 22/2=11, Resulting Numbers: [10, 11]
Generated Node #3: [10, 11] from Operation: 22/2=11
Current State: 21:[10, 11], Operations: ['91-81=10', '22/2=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[91, 81, 2, 22], Operations: []
Exploring Operation: 91-22=69, Resulting Numbers: [81, 2, 69]
Generated Node #0,0: 21:[81, 2, 69] Operation: 91-22=69
Exploring Operation: 91-81=10, Resulting Numbers: [2, 22, 10]
Generated Node #0,1: 21:[2, 22, 10] Operation: 91-81=10
Moving to Node #0,1
Current State: 21:[2, 22, 10], Operations: ['91-81=10']
Exploring Operation: 10-2=8, Resulting Numbers: [22, 8]
Generated Node #0,1,0: 21:[22, 8] Operation: 10-2=8
Exploring Operation: 2*10=20, Resulting Numbers: [22, 20]
Generated Node #0,1,1: 21:[22, 20] Operation: 2*10=20
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[22, 8], Operations: ['91-81=10', '10-2=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,21 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[22, 20], Operations: ['91-81=10', '2*10=20']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 21:[81, 2, 69], Operations: ['91-22=69']
Exploring Operation: 81-2=79, Resulting Numbers: [69, 79]
Generated Node #0,0,0: 21:[69, 79] Operation: 81-2=79
Exploring Operation: 81-69=12, Resulting Numbers: [2, 12]
Generated Node #0,0,1: 21:[2, 12] Operation: 81-69=12
Moving to Node #0,0,1
Current State: 21:[2, 12], Operations: ['91-22=69', '81-69=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[69, 79], Operations: ['91-22=69', '81-2=79']
Exploring Operation: 69+79=148, Resulting Numbers: [148]
148,21 unequal: No Solution
Exploring Operation: 79-69=10, Resulting Numbers: [10]
10,21 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
27,
49,
30,
69
] | 78 | [
"30-27=3",
"49*3=147",
"147-69=78"
] | Current State: 78:[27, 49, 30, 69], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [49, 69, 3]
Generated Node #2: [49, 69, 3] from Operation: 30-27=3
Current State: 78:[49, 69, 3], Operations: ['30-27=3']
Exploring Operation: 49*3=147, Resulting Numbers: [69, 147]
Generated Node #3: [69, 147] from Operation: 49*3=147
Current State: 78:[69, 147], Operations: ['30-27=3', '49*3=147']
Exploring Operation: 147-69=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[27, 49, 30, 69], Operations: []
Exploring Operation: 49+30=79, Resulting Numbers: [27, 69, 79]
Generated Node #0,0: 78:[27, 69, 79] Operation: 49+30=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[27, 69, 79], Operations: ['49+30=79']
Exploring Operation: 69-27=42, Resulting Numbers: [79, 42]
Generated Node #0,0,0: 78:[79, 42] Operation: 69-27=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[79, 42], Operations: ['49+30=79', '69-27=42']
Exploring Operation: 79-42=37, Resulting Numbers: [37]
37,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
95,
76,
96,
50
] | 70 | [
"95*96=9120",
"9120/76=120",
"120-50=70"
] | Current State: 70:[95, 76, 96, 50], Operations: []
Exploring Operation: 95*96=9120, Resulting Numbers: [76, 50, 9120]
Generated Node #2: [76, 50, 9120] from Operation: 95*96=9120
Current State: 70:[76, 50, 9120], Operations: ['95*96=9120']
Exploring Operation: 9120/76=120, Resulting Numbers: [50, 120]
Generated Node #3: [50, 120] from Operation: 9120/76=120
Current State: 70:[50, 120], Operations: ['95*96=9120', '9120/76=120']
Exploring Operation: 120-50=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[95, 76, 96, 50], Operations: []
Exploring Operation: 96-95=1, Resulting Numbers: [76, 50, 1]
Generated Node #0,0: 70:[76, 50, 1] Operation: 96-95=1
Moving to Node #0,0
Current State: 70:[76, 50, 1], Operations: ['96-95=1']
Exploring Operation: 76-50=26, Resulting Numbers: [1, 26]
Generated Node #0,0,0: 70:[1, 26] Operation: 76-50=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[1, 26], Operations: ['96-95=1', '76-50=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
15,
88,
40,
60
] | 83 | [
"15+88=103",
"60-40=20",
"103-20=83"
] | Current State: 83:[15, 88, 40, 60], Operations: []
Exploring Operation: 15+88=103, Resulting Numbers: [40, 60, 103]
Generated Node #2: [40, 60, 103] from Operation: 15+88=103
Current State: 83:[40, 60, 103], Operations: ['15+88=103']
Exploring Operation: 60-40=20, Resulting Numbers: [103, 20]
Generated Node #3: [103, 20] from Operation: 60-40=20
Current State: 83:[103, 20], Operations: ['15+88=103', '60-40=20']
Exploring Operation: 103-20=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[15, 88, 40, 60], Operations: []
Exploring Operation: 15+88=103, Resulting Numbers: [40, 60, 103]
Generated Node #0,0: 83:[40, 60, 103] Operation: 15+88=103
Exploring Operation: 15+40=55, Resulting Numbers: [88, 60, 55]
Generated Node #0,1: 83:[88, 60, 55] Operation: 15+40=55
Exploring Operation: 40-15=25, Resulting Numbers: [88, 60, 25]
Generated Node #0,2: 83:[88, 60, 25] Operation: 40-15=25
Exploring Operation: 15+60=75, Resulting Numbers: [88, 40, 75]
Generated Node #0,3: 83:[88, 40, 75] Operation: 15+60=75
Exploring Operation: 88-15=73, Resulting Numbers: [40, 60, 73]
Generated Node #0,4: 83:[40, 60, 73] Operation: 88-15=73
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[88, 60, 55], Operations: ['15+40=55']
Exploring Operation: 88+55=143, Resulting Numbers: [60, 143]
Generated Node #0,1,0: 83:[60, 143] Operation: 88+55=143
Exploring Operation: 60-55=5, Resulting Numbers: [88, 5]
Generated Node #0,1,1: 83:[88, 5] Operation: 60-55=5
Exploring Operation: 60+55=115, Resulting Numbers: [88, 115]
Generated Node #0,1,2: 83:[88, 115] Operation: 60+55=115
Exploring Operation: 88-55=33, Resulting Numbers: [60, 33]
Generated Node #0,1,3: 83:[60, 33] Operation: 88-55=33
Exploring Operation: 88-60=28, Resulting Numbers: [55, 28]
Generated Node #0,1,4: 83:[55, 28] Operation: 88-60=28
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[88, 115], Operations: ['15+40=55', '60+55=115']
Exploring Operation: 88*115=10120, Resulting Numbers: [10120]
10120,83 unequal: No Solution
Exploring Operation: 115-88=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 88+115=203, Resulting Numbers: [203]
203,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[60, 33], Operations: ['15+40=55', '88-55=33']
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 60+33=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 60*33=1980, Resulting Numbers: [1980]
1980,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[60, 143], Operations: ['15+40=55', '88+55=143']
Exploring Operation: 143-60=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[15, 88, 40, 60], Operations: []
Exploring Operation: 15+40=55, Resulting Numbers: [88, 60, 55]
Generated Node #0,1: 83:[88, 60, 55] Operation: 15+40=55
Moving to Node #0,1
Current State: 83:[88, 60, 55], Operations: ['15+40=55']
Exploring Operation: 88+55=143, Resulting Numbers: [60, 143]
Generated Node #0,1,0: 83:[60, 143] Operation: 88+55=143
Moving to Node #0,1,0
Current State: 83:[60, 143], Operations: ['15+40=55', '88+55=143']
Exploring Operation: 143-60=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
4,
54,
10,
64
] | 60 | [
"4+54=58",
"64-58=6",
"10*6=60"
] | Current State: 60:[4, 54, 10, 64], Operations: []
Exploring Operation: 4+54=58, Resulting Numbers: [10, 64, 58]
Generated Node #2: [10, 64, 58] from Operation: 4+54=58
Current State: 60:[10, 64, 58], Operations: ['4+54=58']
Exploring Operation: 64-58=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 64-58=6
Current State: 60:[10, 6], Operations: ['4+54=58', '64-58=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[4, 54, 10, 64], Operations: []
Exploring Operation: 54+10=64, Resulting Numbers: [4, 64, 64]
Generated Node #0,0: 60:[4, 64, 64] Operation: 54+10=64
Exploring Operation: 64-54=10, Resulting Numbers: [4, 10, 10]
Generated Node #0,1: 60:[4, 10, 10] Operation: 64-54=10
Exploring Operation: 64/4=16, Resulting Numbers: [54, 10, 16]
Generated Node #0,2: 60:[54, 10, 16] Operation: 64/4=16
Exploring Operation: 4+54=58, Resulting Numbers: [10, 64, 58]
Generated Node #0,3: 60:[10, 64, 58] Operation: 4+54=58
Exploring Operation: 64-4=60, Resulting Numbers: [54, 10, 60]
Generated Node #0,4: 60:[54, 10, 60] Operation: 64-4=60
Moving to Node #0,1
Current State: 60:[4, 10, 10], Operations: ['64-54=10']
Exploring Operation: 4+10=14, Resulting Numbers: [10, 14]
Generated Node #0,1,0: 60:[10, 14] Operation: 4+10=14
Exploring Operation: 10-4=6, Resulting Numbers: [10, 6]
Generated Node #0,1,1: 60:[10, 6] Operation: 10-4=6
Exploring Operation: 10-4=6, Resulting Numbers: [10, 6]
Generated Node #0,1,2: 60:[10, 6] Operation: 10-4=6
Exploring Operation: 10+10=20, Resulting Numbers: [4, 20]
Generated Node #0,1,3: 60:[4, 20] Operation: 10+10=20
Exploring Operation: 4+10=14, Resulting Numbers: [10, 14]
Generated Node #0,1,4: 60:[10, 14] Operation: 4+10=14
Moving to Node #0,4
Current State: 60:[54, 10, 60], Operations: ['64-4=60']
Exploring Operation: 54-10=44, Resulting Numbers: [60, 44]
Generated Node #0,4,0: 60:[60, 44] Operation: 54-10=44
Exploring Operation: 60/10=6, Resulting Numbers: [54, 6]
Generated Node #0,4,1: 60:[54, 6] Operation: 60/10=6
Exploring Operation: 10+60=70, Resulting Numbers: [54, 70]
Generated Node #0,4,2: 60:[54, 70] Operation: 10+60=70
Exploring Operation: 54+10=64, Resulting Numbers: [60, 64]
Generated Node #0,4,3: 60:[60, 64] Operation: 54+10=64
Exploring Operation: 60-54=6, Resulting Numbers: [10, 6]
Generated Node #0,4,4: 60:[10, 6] Operation: 60-54=6
Moving to Node #0,3
Current State: 60:[10, 64, 58], Operations: ['4+54=58']
Exploring Operation: 64-58=6, Resulting Numbers: [10, 6]
Generated Node #0,3,0: 60:[10, 6] Operation: 64-58=6
Exploring Operation: 64-10=54, Resulting Numbers: [58, 54]
Generated Node #0,3,1: 60:[58, 54] Operation: 64-10=54
Exploring Operation: 10+64=74, Resulting Numbers: [58, 74]
Generated Node #0,3,2: 60:[58, 74] Operation: 10+64=74
Exploring Operation: 58-10=48, Resulting Numbers: [64, 48]
Generated Node #0,3,3: 60:[64, 48] Operation: 58-10=48
Exploring Operation: 10+58=68, Resulting Numbers: [64, 68]
Generated Node #0,3,4: 60:[64, 68] Operation: 10+58=68
Moving to Node #0,2
Current State: 60:[54, 10, 16], Operations: ['64/4=16']
Exploring Operation: 54+10=64, Resulting Numbers: [16, 64]
Generated Node #0,2,0: 60:[16, 64] Operation: 54+10=64
Exploring Operation: 10+16=26, Resulting Numbers: [54, 26]
Generated Node #0,2,1: 60:[54, 26] Operation: 10+16=26
Exploring Operation: 54+16=70, Resulting Numbers: [10, 70]
Generated Node #0,2,2: 60:[10, 70] Operation: 54+16=70
Exploring Operation: 16-10=6, Resulting Numbers: [54, 6]
Generated Node #0,2,3: 60:[54, 6] Operation: 16-10=6
Exploring Operation: 54-16=38, Resulting Numbers: [10, 38]
Generated Node #0,2,4: 60:[10, 38] Operation: 54-16=38
Moving to Node #0,0
Current State: 60:[4, 64, 64], Operations: ['54+10=64']
Exploring Operation: 64-4=60, Resulting Numbers: [64, 60]
Generated Node #0,0,0: 60:[64, 60] Operation: 64-4=60
Exploring Operation: 64/64=1, Resulting Numbers: [4, 1]
Generated Node #0,0,1: 60:[4, 1] Operation: 64/64=1
Exploring Operation: 64/4=16, Resulting Numbers: [64, 16]
Generated Node #0,0,2: 60:[64, 16] Operation: 64/4=16
Exploring Operation: 64-64=0, Resulting Numbers: [4, 0]
Generated Node #0,0,3: 60:[4, 0] Operation: 64-64=0
Exploring Operation: 64-4=60, Resulting Numbers: [64, 60]
Generated Node #0,0,4: 60:[64, 60] Operation: 64-4=60
Moving to Node #0,1,1
Current State: 60:[10, 6], Operations: ['64-54=10', '10-4=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[4, 54, 10, 64], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [4, 10, 10]
Generated Node #0,1: 60:[4, 10, 10] Operation: 64-54=10
Moving to Node #0,1
Current State: 60:[4, 10, 10], Operations: ['64-54=10']
Exploring Operation: 10-4=6, Resulting Numbers: [10, 6]
Generated Node #0,1,1: 60:[10, 6] Operation: 10-4=6
Moving to Node #0,1,1
Current State: 60:[10, 6], Operations: ['64-54=10', '10-4=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.969618 | hs_5 | mult_heuristic |
[
79,
8,
6,
8
] | 17 | [
"8+8=16",
"6*16=96",
"96-79=17"
] | Current State: 17:[79, 8, 6, 8], Operations: []
Exploring Operation: 8+8=16, Resulting Numbers: [79, 6, 16]
Generated Node #2: [79, 6, 16] from Operation: 8+8=16
Current State: 17:[79, 6, 16], Operations: ['8+8=16']
Exploring Operation: 6*16=96, Resulting Numbers: [79, 96]
Generated Node #3: [79, 96] from Operation: 6*16=96
Current State: 17:[79, 96], Operations: ['8+8=16', '6*16=96']
Exploring Operation: 96-79=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[79, 8, 6, 8], Operations: []
Exploring Operation: 79-8=71, Resulting Numbers: [6, 8, 71]
Generated Node #0,0: 17:[6, 8, 71] Operation: 79-8=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[6, 8, 71], Operations: ['79-8=71']
Exploring Operation: 6+8=14, Resulting Numbers: [71, 14]
Generated Node #0,0,0: 17:[71, 14] Operation: 6+8=14
Moving to Node #0,0,0
Current State: 17:[71, 14], Operations: ['79-8=71', '6+8=14']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,17 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 |
[
51,
29,
93,
75
] | 40 | [
"51-29=22",
"93-75=18",
"22+18=40"
] | Current State: 40:[51, 29, 93, 75], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [93, 75, 22]
Generated Node #2: [93, 75, 22] from Operation: 51-29=22
Current State: 40:[93, 75, 22], Operations: ['51-29=22']
Exploring Operation: 93-75=18, Resulting Numbers: [22, 18]
Generated Node #3: [22, 18] from Operation: 93-75=18
Current State: 40:[22, 18], Operations: ['51-29=22', '93-75=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[51, 29, 93, 75], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [51, 75, 64]
Generated Node #0,0: 40:[51, 75, 64] Operation: 93-29=64
Exploring Operation: 93-75=18, Resulting Numbers: [51, 29, 18]
Generated Node #0,1: 40:[51, 29, 18] Operation: 93-75=18
Exploring Operation: 75-51=24, Resulting Numbers: [29, 93, 24]
Generated Node #0,2: 40:[29, 93, 24] Operation: 75-51=24
Exploring Operation: 93-51=42, Resulting Numbers: [29, 75, 42]
Generated Node #0,3: 40:[29, 75, 42] Operation: 93-51=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[51, 29, 18], Operations: ['93-75=18']
Exploring Operation: 29+18=47, Resulting Numbers: [51, 47]
Generated Node #0,1,0: 40:[51, 47] Operation: 29+18=47
Exploring Operation: 51-29=22, Resulting Numbers: [18, 22]
Generated Node #0,1,1: 40:[18, 22] Operation: 51-29=22
Exploring Operation: 29-18=11, Resulting Numbers: [51, 11]
Generated Node #0,1,2: 40:[51, 11] Operation: 29-18=11
Exploring Operation: 51-18=33, Resulting Numbers: [29, 33]
Generated Node #0,1,3: 40:[29, 33] Operation: 51-18=33
Moving to Node #0,1,1
Current State: 40:[18, 22], Operations: ['93-75=18', '51-29=22']
Exploring Operation: 18*22=396, Resulting Numbers: [396]
396,40 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[51, 29, 93, 75], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [51, 29, 18]
Generated Node #0,1: 40:[51, 29, 18] Operation: 93-75=18
Moving to Node #0,1
Current State: 40:[51, 29, 18], Operations: ['93-75=18']
Exploring Operation: 51-29=22, Resulting Numbers: [18, 22]
Generated Node #0,1,1: 40:[18, 22] Operation: 51-29=22
Moving to Node #0,1,1
Current State: 40:[18, 22], Operations: ['93-75=18', '51-29=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
12,
85,
80,
75
] | 25 | [
"80-75=5",
"12*5=60",
"85-60=25"
] | Current State: 25:[12, 85, 80, 75], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [12, 85, 5]
Generated Node #2: [12, 85, 5] from Operation: 80-75=5
Current State: 25:[12, 85, 5], Operations: ['80-75=5']
Exploring Operation: 12*5=60, Resulting Numbers: [85, 60]
Generated Node #3: [85, 60] from Operation: 12*5=60
Current State: 25:[85, 60], Operations: ['80-75=5', '12*5=60']
Exploring Operation: 85-60=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[12, 85, 80, 75], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [12, 75, 5]
Generated Node #0,0: 25:[12, 75, 5] Operation: 85-80=5
Moving to Node #0,0
Current State: 25:[12, 75, 5], Operations: ['85-80=5']
Exploring Operation: 75/5=15, Resulting Numbers: [12, 15]
Generated Node #0,0,0: 25:[12, 15] Operation: 75/5=15
Moving to Node #0,0,0
Current State: 25:[12, 15], Operations: ['85-80=5', '75/5=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,25 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
45,
52,
92,
41
] | 46 | [
"45+52=97",
"92-41=51",
"97-51=46"
] | Current State: 46:[45, 52, 92, 41], Operations: []
Exploring Operation: 45+52=97, Resulting Numbers: [92, 41, 97]
Generated Node #2: [92, 41, 97] from Operation: 45+52=97
Current State: 46:[92, 41, 97], Operations: ['45+52=97']
Exploring Operation: 92-41=51, Resulting Numbers: [97, 51]
Generated Node #3: [97, 51] from Operation: 92-41=51
Current State: 46:[97, 51], Operations: ['45+52=97', '92-41=51']
Exploring Operation: 97-51=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[45, 52, 92, 41], Operations: []
Exploring Operation: 92-45=47, Resulting Numbers: [52, 41, 47]
Generated Node #0,0: 46:[52, 41, 47] Operation: 92-45=47
Exploring Operation: 92-52=40, Resulting Numbers: [45, 41, 40]
Generated Node #0,1: 46:[45, 41, 40] Operation: 92-52=40
Exploring Operation: 45-41=4, Resulting Numbers: [52, 92, 4]
Generated Node #0,2: 46:[52, 92, 4] Operation: 45-41=4
Exploring Operation: 92-41=51, Resulting Numbers: [45, 52, 51]
Generated Node #0,3: 46:[45, 52, 51] Operation: 92-41=51
Moving to Node #0,0
Current State: 46:[52, 41, 47], Operations: ['92-45=47']
Exploring Operation: 52-41=11, Resulting Numbers: [47, 11]
Generated Node #0,0,0: 46:[47, 11] Operation: 52-41=11
Exploring Operation: 47-41=6, Resulting Numbers: [52, 6]
Generated Node #0,0,1: 46:[52, 6] Operation: 47-41=6
Exploring Operation: 52-47=5, Resulting Numbers: [41, 5]
Generated Node #0,0,2: 46:[41, 5] Operation: 52-47=5
Exploring Operation: 52+41=93, Resulting Numbers: [47, 93]
Generated Node #0,0,3: 46:[47, 93] Operation: 52+41=93
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 46:[41, 5], Operations: ['92-45=47', '52-47=5']
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,46 unequal: No Solution
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[45, 52, 92, 41], Operations: []
Exploring Operation: 92-45=47, Resulting Numbers: [52, 41, 47]
Generated Node #0,0: 46:[52, 41, 47] Operation: 92-45=47
Moving to Node #0,0
Current State: 46:[52, 41, 47], Operations: ['92-45=47']
Exploring Operation: 52-47=5, Resulting Numbers: [41, 5]
Generated Node #0,0,2: 46:[41, 5] Operation: 52-47=5
Moving to Node #0,0,2
Current State: 46:[41, 5], Operations: ['92-45=47', '52-47=5']
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
4,
38,
64,
2
] | 13 | [
"4-2=2",
"64-38=26",
"26/2=13"
] | Current State: 13:[4, 38, 64, 2], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [38, 64, 2]
Generated Node #2: [38, 64, 2] from Operation: 4-2=2
Current State: 13:[38, 64, 2], Operations: ['4-2=2']
Exploring Operation: 64-38=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 64-38=26
Current State: 13:[2, 26], Operations: ['4-2=2', '64-38=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[4, 38, 64, 2], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [38, 2, 16]
Generated Node #0,0: 13:[38, 2, 16] Operation: 64/4=16
Exploring Operation: 64-38=26, Resulting Numbers: [4, 2, 26]
Generated Node #0,1: 13:[4, 2, 26] Operation: 64-38=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[4, 2, 26], Operations: ['64-38=26']
Exploring Operation: 26/2=13, Resulting Numbers: [4, 13]
Generated Node #0,1,0: 13:[4, 13] Operation: 26/2=13
Exploring Operation: 4*2=8, Resulting Numbers: [26, 8]
Generated Node #0,1,1: 13:[26, 8] Operation: 4*2=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 13:[4, 13], Operations: ['64-38=26', '26/2=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 13:[26, 8], Operations: ['64-38=26', '4*2=8']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,13 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,13 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: 13:[38, 2, 16], Operations: ['64/4=16']
Exploring Operation: 38-16=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 13:[2, 22] Operation: 38-16=22
Exploring Operation: 38/2=19, Resulting Numbers: [16, 19]
Generated Node #0,0,1: 13:[16, 19] Operation: 38/2=19
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[16, 19], Operations: ['64/4=16', '38/2=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 13:[2, 22], Operations: ['64/4=16', '38-16=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,13 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 |
[
7,
97,
28,
34
] | 97 | [
"7+28=35",
"35-34=1",
"97*1=97"
] | Current State: 97:[7, 97, 28, 34], Operations: []
Exploring Operation: 7+28=35, Resulting Numbers: [97, 34, 35]
Generated Node #2: [97, 34, 35] from Operation: 7+28=35
Current State: 97:[97, 34, 35], Operations: ['7+28=35']
Exploring Operation: 35-34=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 35-34=1
Current State: 97:[97, 1], Operations: ['7+28=35', '35-34=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[7, 97, 28, 34], Operations: []
Exploring Operation: 28+34=62, Resulting Numbers: [7, 97, 62]
Generated Node #0,0: 97:[7, 97, 62] Operation: 28+34=62
Exploring Operation: 7+97=104, Resulting Numbers: [28, 34, 104]
Generated Node #0,1: 97:[28, 34, 104] Operation: 7+97=104
Exploring Operation: 7+34=41, Resulting Numbers: [97, 28, 41]
Generated Node #0,2: 97:[97, 28, 41] Operation: 7+34=41
Exploring Operation: 7+28=35, Resulting Numbers: [97, 34, 35]
Generated Node #0,3: 97:[97, 34, 35] Operation: 7+28=35
Moving to Node #0,0
Current State: 97:[7, 97, 62], Operations: ['28+34=62']
Exploring Operation: 7+62=69, Resulting Numbers: [97, 69]
Generated Node #0,0,0: 97:[97, 69] Operation: 7+62=69
Exploring Operation: 97-7=90, Resulting Numbers: [62, 90]
Generated Node #0,0,1: 97:[62, 90] Operation: 97-7=90
Exploring Operation: 62-7=55, Resulting Numbers: [97, 55]
Generated Node #0,0,2: 97:[97, 55] Operation: 62-7=55
Exploring Operation: 7+97=104, Resulting Numbers: [62, 104]
Generated Node #0,0,3: 97:[62, 104] Operation: 7+97=104
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[97, 69], Operations: ['28+34=62', '7+62=69']
Exploring Operation: 97*69=6693, Resulting Numbers: [6693]
6693,97 unequal: No Solution
Exploring Operation: 97+69=166, Resulting Numbers: [166]
166,97 unequal: No Solution
Exploring Operation: 97-69=28, Resulting Numbers: [28]
28,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[62, 90], Operations: ['28+34=62', '97-7=90']
Exploring Operation: 90-62=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 62*90=5580, Resulting Numbers: [5580]
5580,97 unequal: No Solution
Exploring Operation: 62+90=152, Resulting Numbers: [152]
152,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 97:[97, 55], Operations: ['28+34=62', '62-7=55']
Exploring Operation: 97*55=5335, Resulting Numbers: [5335]
5335,97 unequal: No Solution
Exploring Operation: 97+55=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Exploring Operation: 97-55=42, Resulting Numbers: [42]
42,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 97:[62, 104], Operations: ['28+34=62', '7+97=104']
Exploring Operation: 62+104=166, Resulting Numbers: [166]
166,97 unequal: No Solution
Exploring Operation: 104-62=42, Resulting Numbers: [42]
42,97 unequal: No Solution
Exploring Operation: 62*104=6448, Resulting Numbers: [6448]
6448,97 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: 97:[97, 34, 35], Operations: ['7+28=35']
Exploring Operation: 34+35=69, Resulting Numbers: [97, 69]
Generated Node #0,3,0: 97:[97, 69] Operation: 34+35=69
Exploring Operation: 97-34=63, Resulting Numbers: [35, 63]
Generated Node #0,3,1: 97:[35, 63] Operation: 97-34=63
Exploring Operation: 35-34=1, Resulting Numbers: [97, 1]
Generated Node #0,3,2: 97:[97, 1] Operation: 35-34=1
Exploring Operation: 97+34=131, Resulting Numbers: [35, 131]
Generated Node #0,3,3: 97:[35, 131] Operation: 97+34=131
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[97, 69], Operations: ['7+28=35', '34+35=69']
Exploring Operation: 97*69=6693, Resulting Numbers: [6693]
6693,97 unequal: No Solution
Exploring Operation: 97-69=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 97+69=166, Resulting Numbers: [166]
166,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[35, 63], Operations: ['7+28=35', '97-34=63']
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,97 unequal: No Solution
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,97 unequal: No Solution
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[97, 1], Operations: ['7+28=35', '35-34=1']
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[7, 97, 28, 34], Operations: []
Exploring Operation: 7+28=35, Resulting Numbers: [97, 34, 35]
Generated Node #0,3: 97:[97, 34, 35] Operation: 7+28=35
Moving to Node #0,3
Current State: 97:[97, 34, 35], Operations: ['7+28=35']
Exploring Operation: 35-34=1, Resulting Numbers: [97, 1]
Generated Node #0,3,2: 97:[97, 1] Operation: 35-34=1
Moving to Node #0,3,2
Current State: 97:[97, 1], Operations: ['7+28=35', '35-34=1']
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | sum_heuristic |
[
65,
69,
3,
78
] | 38 | [
"78-69=9",
"3*9=27",
"65-27=38"
] | Current State: 38:[65, 69, 3, 78], Operations: []
Exploring Operation: 78-69=9, Resulting Numbers: [65, 3, 9]
Generated Node #2: [65, 3, 9] from Operation: 78-69=9
Current State: 38:[65, 3, 9], Operations: ['78-69=9']
Exploring Operation: 3*9=27, Resulting Numbers: [65, 27]
Generated Node #3: [65, 27] from Operation: 3*9=27
Current State: 38:[65, 27], Operations: ['78-69=9', '3*9=27']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[65, 69, 3, 78], Operations: []
Exploring Operation: 78-69=9, Resulting Numbers: [65, 3, 9]
Generated Node #0,0: 38:[65, 3, 9] Operation: 78-69=9
Exploring Operation: 78-65=13, Resulting Numbers: [69, 3, 13]
Generated Node #0,1: 38:[69, 3, 13] Operation: 78-65=13
Exploring Operation: 69-65=4, Resulting Numbers: [3, 78, 4]
Generated Node #0,2: 38:[3, 78, 4] Operation: 69-65=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[65, 3, 9], Operations: ['78-69=9']
Exploring Operation: 65-3=62, Resulting Numbers: [9, 62]
Generated Node #0,0,0: 38:[9, 62] Operation: 65-3=62
Exploring Operation: 65-9=56, Resulting Numbers: [3, 56]
Generated Node #0,0,1: 38:[3, 56] Operation: 65-9=56
Exploring Operation: 9/3=3, Resulting Numbers: [65, 3]
Generated Node #0,0,2: 38:[65, 3] Operation: 9/3=3
Moving to Node #0,0,1
Current State: 38:[3, 56], Operations: ['78-69=9', '65-9=56']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 3*56=168, Resulting Numbers: [168]
168,38 unequal: No Solution
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,38 unequal: No Solution
Moving to Node #0,0,2
Current State: 38:[65, 3], Operations: ['78-69=9', '9/3=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,38 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,38 unequal: No Solution
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[9, 62], Operations: ['78-69=9', '65-3=62']
Exploring Operation: 9*62=558, Resulting Numbers: [558]
558,38 unequal: No Solution
Exploring Operation: 9+62=71, Resulting Numbers: [71]
71,38 unequal: No Solution
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,38 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:[69, 3, 13], Operations: ['78-65=13']
Exploring Operation: 69/3=23, Resulting Numbers: [13, 23]
Generated Node #0,1,0: 38:[13, 23] Operation: 69/3=23
Exploring Operation: 69-13=56, Resulting Numbers: [3, 56]
Generated Node #0,1,1: 38:[3, 56] Operation: 69-13=56
Exploring Operation: 3*13=39, Resulting Numbers: [69, 39]
Generated Node #0,1,2: 38:[69, 39] Operation: 3*13=39
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[13, 23], Operations: ['78-65=13', '69/3=23']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,38 unequal: No Solution
Exploring Operation: 13*23=299, Resulting Numbers: [299]
299,38 unequal: No Solution
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[3, 56], Operations: ['78-65=13', '69-13=56']
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,38 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 3*56=168, Resulting Numbers: [168]
168,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 38:[69, 39], Operations: ['78-65=13', '3*13=39']
Exploring Operation: 69*39=2691, Resulting Numbers: [2691]
2691,38 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,38 unequal: No Solution
Exploring Operation: 69+39=108, Resulting Numbers: [108]
108,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[3, 78, 4], Operations: ['69-65=4']
Exploring Operation: 78-3=75, Resulting Numbers: [4, 75]
Generated Node #0,2,0: 38:[4, 75] Operation: 78-3=75
Exploring Operation: 78-4=74, Resulting Numbers: [3, 74]
Generated Node #0,2,1: 38:[3, 74] Operation: 78-4=74
Exploring Operation: 78/3=26, Resulting Numbers: [4, 26]
Generated Node #0,2,2: 38:[4, 26] Operation: 78/3=26
Moving to Node #0,2,2
Current State: 38:[4, 26], Operations: ['69-65=4', '78/3=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,38 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,38 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[3, 74], Operations: ['69-65=4', '78-4=74']
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,38 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,38 unequal: No Solution
Exploring Operation: 3*74=222, Resulting Numbers: [222]
222,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[4, 75], Operations: ['69-65=4', '78-3=75']
Exploring Operation: 4+75=79, Resulting Numbers: [79]
79,38 unequal: No Solution
Exploring Operation: 4*75=300, Resulting Numbers: [300]
300,38 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,38 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 |
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