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 |
|---|---|---|---|---|---|---|---|---|
[
22,
2,
5,
58
] | 43 | [
"22-2=20",
"5+58=63",
"63-20=43"
] | Current State: 43:[22, 2, 5, 58], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [5, 58, 20]
Generated Node #2: [5, 58, 20] from Operation: 22-2=20
Current State: 43:[5, 58, 20], Operations: ['22-2=20']
Exploring Operation: 5+58=63, Resulting Numbers: [20, 63]
Generated Node #3: [20, 63] from Operation: 5+58=63
Current State: 43:[20, 63], Operations: ['22-2=20', '5+58=63']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[22, 2, 5, 58], Operations: []
Exploring Operation: 22*2=44, Resulting Numbers: [5, 58, 44]
Generated Node #0,0: 43:[5, 58, 44] Operation: 22*2=44
Moving to Node #0,0
Current State: 43:[5, 58, 44], Operations: ['22*2=44']
Exploring Operation: 58-5=53, Resulting Numbers: [44, 53]
Generated Node #0,0,0: 43:[44, 53] Operation: 58-5=53
Moving to Node #0,0,0
Current State: 43:[44, 53], Operations: ['22*2=44', '58-5=53']
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,43 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
13,
16,
70,
2
] | 28 | [
"13*2=26",
"70-16=54",
"54-26=28"
] | Current State: 28:[13, 16, 70, 2], Operations: []
Exploring Operation: 13*2=26, Resulting Numbers: [16, 70, 26]
Generated Node #2: [16, 70, 26] from Operation: 13*2=26
Current State: 28:[16, 70, 26], Operations: ['13*2=26']
Exploring Operation: 70-16=54, Resulting Numbers: [26, 54]
Generated Node #3: [26, 54] from Operation: 70-16=54
Current State: 28:[26, 54], Operations: ['13*2=26', '70-16=54']
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[13, 16, 70, 2], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [13, 2, 54]
Generated Node #0,0: 28:[13, 2, 54] Operation: 70-16=54
Exploring Operation: 70-13=57, Resulting Numbers: [16, 2, 57]
Generated Node #0,1: 28:[16, 2, 57] Operation: 70-13=57
Exploring Operation: 70/2=35, Resulting Numbers: [13, 16, 35]
Generated Node #0,2: 28:[13, 16, 35] Operation: 70/2=35
Moving to Node #0,2
Current State: 28:[13, 16, 35], Operations: ['70/2=35']
Exploring Operation: 13+16=29, Resulting Numbers: [35, 29]
Generated Node #0,2,0: 28:[35, 29] Operation: 13+16=29
Exploring Operation: 35-16=19, Resulting Numbers: [13, 19]
Generated Node #0,2,1: 28:[13, 19] Operation: 35-16=19
Exploring Operation: 16-13=3, Resulting Numbers: [35, 3]
Generated Node #0,2,2: 28:[35, 3] Operation: 16-13=3
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 28:[13, 19], Operations: ['70/2=35', '35-16=19']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 13*19=247, Resulting Numbers: [247]
247,28 unequal: No Solution
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,28 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 #0,2,0
Current State: 28:[35, 29], Operations: ['70/2=35', '13+16=29']
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 35*29=1015, Resulting Numbers: [1015]
1015,28 unequal: No Solution
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,28 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 #0,2,2
Current State: 28:[35, 3], Operations: ['70/2=35', '16-13=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 35*3=105, Resulting Numbers: [105]
105,28 unequal: No Solution
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,28 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: 28:[13, 2, 54], Operations: ['70-16=54']
Exploring Operation: 54/2=27, Resulting Numbers: [13, 27]
Generated Node #0,0,0: 28:[13, 27] Operation: 54/2=27
Exploring Operation: 54-13=41, Resulting Numbers: [2, 41]
Generated Node #0,0,1: 28:[2, 41] Operation: 54-13=41
Exploring Operation: 54-2=52, Resulting Numbers: [13, 52]
Generated Node #0,0,2: 28:[13, 52] Operation: 54-2=52
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[13, 27], Operations: ['70-16=54', '54/2=27']
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,28 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[2, 41], Operations: ['70-16=54', '54-13=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,28 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 28:[13, 52], Operations: ['70-16=54', '54-2=52']
Exploring Operation: 13+52=65, Resulting Numbers: [65]
65,28 unequal: No Solution
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 52/13=4, Resulting Numbers: [4]
4,28 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: 28:[16, 2, 57], Operations: ['70-13=57']
Exploring Operation: 16-2=14, Resulting Numbers: [57, 14]
Generated Node #0,1,0: 28:[57, 14] Operation: 16-2=14
Exploring Operation: 57-16=41, Resulting Numbers: [2, 41]
Generated Node #0,1,1: 28:[2, 41] Operation: 57-16=41
Exploring Operation: 57-2=55, Resulting Numbers: [16, 55]
Generated Node #0,1,2: 28:[16, 55] Operation: 57-2=55
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[2, 41], Operations: ['70-13=57', '57-16=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,28 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 #0,1,0
Current State: 28:[57, 14], Operations: ['70-13=57', '16-2=14']
Exploring Operation: 57*14=798, Resulting Numbers: [798]
798,28 unequal: No Solution
Exploring Operation: 57+14=71, Resulting Numbers: [71]
71,28 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,28 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 #0,1,2
Current State: 28:[16, 55], Operations: ['70-13=57', '57-2=55']
Exploring Operation: 16+55=71, Resulting Numbers: [71]
71,28 unequal: No Solution
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 16*55=880, Resulting Numbers: [880]
880,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
95,
3,
22,
75
] | 48 | [
"95-22=73",
"75/3=25",
"73-25=48"
] | Current State: 48:[95, 3, 22, 75], Operations: []
Exploring Operation: 95-22=73, Resulting Numbers: [3, 75, 73]
Generated Node #2: [3, 75, 73] from Operation: 95-22=73
Current State: 48:[3, 75, 73], Operations: ['95-22=73']
Exploring Operation: 75/3=25, Resulting Numbers: [73, 25]
Generated Node #3: [73, 25] from Operation: 75/3=25
Current State: 48:[73, 25], Operations: ['95-22=73', '75/3=25']
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[95, 3, 22, 75], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [95, 22, 25]
Generated Node #0,0: 48:[95, 22, 25] Operation: 75/3=25
Exploring Operation: 75-22=53, Resulting Numbers: [95, 3, 53]
Generated Node #0,1: 48:[95, 3, 53] Operation: 75-22=53
Exploring Operation: 95-75=20, Resulting Numbers: [3, 22, 20]
Generated Node #0,2: 48:[3, 22, 20] Operation: 95-75=20
Exploring Operation: 95-22=73, Resulting Numbers: [3, 75, 73]
Generated Node #0,3: 48:[3, 75, 73] Operation: 95-22=73
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[3, 22, 20], Operations: ['95-75=20']
Exploring Operation: 3+20=23, Resulting Numbers: [22, 23]
Generated Node #0,2,0: 48:[22, 23] Operation: 3+20=23
Exploring Operation: 20-3=17, Resulting Numbers: [22, 17]
Generated Node #0,2,1: 48:[22, 17] Operation: 20-3=17
Exploring Operation: 22-20=2, Resulting Numbers: [3, 2]
Generated Node #0,2,2: 48:[3, 2] Operation: 22-20=2
Exploring Operation: 3+22=25, Resulting Numbers: [20, 25]
Generated Node #0,2,3: 48:[20, 25] Operation: 3+22=25
Moving to Node #0,2,2
Current State: 48:[3, 2], Operations: ['95-75=20', '22-20=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[22, 17], Operations: ['95-75=20', '20-3=17']
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,48 unequal: No Solution
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,48 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[22, 23], Operations: ['95-75=20', '3+20=23']
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,48 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[20, 25], Operations: ['95-75=20', '3+22=25']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[95, 22, 25], Operations: ['75/3=25']
Exploring Operation: 95-25=70, Resulting Numbers: [22, 70]
Generated Node #0,0,0: 48:[22, 70] Operation: 95-25=70
Exploring Operation: 22+25=47, Resulting Numbers: [95, 47]
Generated Node #0,0,1: 48:[95, 47] Operation: 22+25=47
Exploring Operation: 25-22=3, Resulting Numbers: [95, 3]
Generated Node #0,0,2: 48:[95, 3] Operation: 25-22=3
Exploring Operation: 95-22=73, Resulting Numbers: [25, 73]
Generated Node #0,0,3: 48:[25, 73] Operation: 95-22=73
Moving to Node #0,0,0
Current State: 48:[22, 70], Operations: ['75/3=25', '95-25=70']
Exploring Operation: 22*70=1540, Resulting Numbers: [1540]
1540,48 unequal: No Solution
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[95, 3, 22, 75], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [95, 22, 25]
Generated Node #0,0: 48:[95, 22, 25] Operation: 75/3=25
Moving to Node #0,0
Current State: 48:[95, 22, 25], Operations: ['75/3=25']
Exploring Operation: 95-25=70, Resulting Numbers: [22, 70]
Generated Node #0,0,0: 48:[22, 70] Operation: 95-25=70
Moving to Node #0,0,0
Current State: 48:[22, 70], Operations: ['75/3=25', '95-25=70']
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
71,
14,
67,
77
] | 75 | [
"71+14=85",
"77-67=10",
"85-10=75"
] | Current State: 75:[71, 14, 67, 77], Operations: []
Exploring Operation: 71+14=85, Resulting Numbers: [67, 77, 85]
Generated Node #2: [67, 77, 85] from Operation: 71+14=85
Current State: 75:[67, 77, 85], Operations: ['71+14=85']
Exploring Operation: 77-67=10, Resulting Numbers: [85, 10]
Generated Node #3: [85, 10] from Operation: 77-67=10
Current State: 75:[85, 10], Operations: ['71+14=85', '77-67=10']
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[71, 14, 67, 77], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [14, 67, 6]
Generated Node #0,0: 75:[14, 67, 6] Operation: 77-71=6
Exploring Operation: 77-67=10, Resulting Numbers: [71, 14, 10]
Generated Node #0,1: 75:[71, 14, 10] Operation: 77-67=10
Exploring Operation: 71-67=4, Resulting Numbers: [14, 77, 4]
Generated Node #0,2: 75:[14, 77, 4] Operation: 71-67=4
Moving to Node #0,2
Current State: 75:[14, 77, 4], Operations: ['71-67=4']
Exploring Operation: 77-4=73, Resulting Numbers: [14, 73]
Generated Node #0,2,0: 75:[14, 73] Operation: 77-4=73
Exploring Operation: 14-4=10, Resulting Numbers: [77, 10]
Generated Node #0,2,1: 75:[77, 10] Operation: 14-4=10
Exploring Operation: 14+4=18, Resulting Numbers: [77, 18]
Generated Node #0,2,2: 75:[77, 18] Operation: 14+4=18
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 75:[14, 73], Operations: ['71-67=4', '77-4=73']
Exploring Operation: 14+73=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Exploring Operation: 14*73=1022, Resulting Numbers: [1022]
1022,75 unequal: No Solution
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 75:[77, 18], Operations: ['71-67=4', '14+4=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 77*18=1386, Resulting Numbers: [1386]
1386,75 unequal: No Solution
Exploring Operation: 77+18=95, Resulting Numbers: [95]
95,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 75:[77, 10], Operations: ['71-67=4', '14-4=10']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Exploring Operation: 77*10=770, Resulting Numbers: [770]
770,75 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: 75:[14, 67, 6], Operations: ['77-71=6']
Exploring Operation: 14+67=81, Resulting Numbers: [6, 81]
Generated Node #0,0,0: 75:[6, 81] Operation: 14+67=81
Exploring Operation: 67+6=73, Resulting Numbers: [14, 73]
Generated Node #0,0,1: 75:[14, 73] Operation: 67+6=73
Exploring Operation: 14-6=8, Resulting Numbers: [67, 8]
Generated Node #0,0,2: 75:[67, 8] Operation: 14-6=8
Moving to Node #0,1
Current State: 75:[71, 14, 10], Operations: ['77-67=10']
Exploring Operation: 14+10=24, Resulting Numbers: [71, 24]
Generated Node #0,1,0: 75:[71, 24] Operation: 14+10=24
Exploring Operation: 71+10=81, Resulting Numbers: [14, 81]
Generated Node #0,1,1: 75:[14, 81] Operation: 71+10=81
Exploring Operation: 14-10=4, Resulting Numbers: [71, 4]
Generated Node #0,1,2: 75:[71, 4] Operation: 14-10=4
Moving to Node #0,0,1
Current State: 75:[14, 73], Operations: ['77-71=6', '67+6=73']
Exploring Operation: 14+73=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 14*73=1022, Resulting Numbers: [1022]
1022,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[71, 24], Operations: ['77-67=10', '14+10=24']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,75 unequal: No Solution
Exploring Operation: 71*24=1704, Resulting Numbers: [1704]
1704,75 unequal: No Solution
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[71, 4], Operations: ['77-67=10', '14-10=4']
Exploring Operation: 71*4=284, Resulting Numbers: [284]
284,75 unequal: No Solution
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[71, 14, 67, 77], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [71, 14, 10]
Generated Node #0,1: 75:[71, 14, 10] Operation: 77-67=10
Moving to Node #0,1
Current State: 75:[71, 14, 10], Operations: ['77-67=10']
Exploring Operation: 14-10=4, Resulting Numbers: [71, 4]
Generated Node #0,1,2: 75:[71, 4] Operation: 14-10=4
Moving to Node #0,1,2
Current State: 75:[71, 4], Operations: ['77-67=10', '14-10=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.971354 | hs_3 | sum_heuristic |
[
90,
35,
33,
28
] | 25 | [
"90+35=125",
"33-28=5",
"125/5=25"
] | Current State: 25:[90, 35, 33, 28], Operations: []
Exploring Operation: 90+35=125, Resulting Numbers: [33, 28, 125]
Generated Node #2: [33, 28, 125] from Operation: 90+35=125
Current State: 25:[33, 28, 125], Operations: ['90+35=125']
Exploring Operation: 33-28=5, Resulting Numbers: [125, 5]
Generated Node #3: [125, 5] from Operation: 33-28=5
Current State: 25:[125, 5], Operations: ['90+35=125', '33-28=5']
Exploring Operation: 125/5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[90, 35, 33, 28], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [35, 28, 57]
Generated Node #0,0: 25:[35, 28, 57] Operation: 90-33=57
Exploring Operation: 90-28=62, Resulting Numbers: [35, 33, 62]
Generated Node #0,1: 25:[35, 33, 62] Operation: 90-28=62
Exploring Operation: 35-33=2, Resulting Numbers: [90, 28, 2]
Generated Node #0,2: 25:[90, 28, 2] Operation: 35-33=2
Exploring Operation: 90-35=55, Resulting Numbers: [33, 28, 55]
Generated Node #0,3: 25:[33, 28, 55] Operation: 90-35=55
Moving to Node #0,3
Current State: 25:[33, 28, 55], Operations: ['90-35=55']
Exploring Operation: 33-28=5, Resulting Numbers: [55, 5]
Generated Node #0,3,0: 25:[55, 5] Operation: 33-28=5
Exploring Operation: 55-28=27, Resulting Numbers: [33, 27]
Generated Node #0,3,1: 25:[33, 27] Operation: 55-28=27
Exploring Operation: 55-33=22, Resulting Numbers: [28, 22]
Generated Node #0,3,2: 25:[28, 22] Operation: 55-33=22
Exploring Operation: 33+28=61, Resulting Numbers: [55, 61]
Generated Node #0,3,3: 25:[55, 61] Operation: 33+28=61
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 25:[28, 22], Operations: ['90-35=55', '55-33=22']
Exploring Operation: 28*22=616, Resulting Numbers: [616]
616,25 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 28+22=50, Resulting Numbers: [50]
50,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[33, 27], Operations: ['90-35=55', '55-28=27']
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 33*27=891, Resulting Numbers: [891]
891,25 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[55, 5], Operations: ['90-35=55', '33-28=5']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[55, 61], Operations: ['90-35=55', '33+28=61']
Exploring Operation: 55+61=116, Resulting Numbers: [116]
116,25 unequal: No Solution
Exploring Operation: 55*61=3355, Resulting Numbers: [3355]
3355,25 unequal: No Solution
Exploring Operation: 61-55=6, Resulting Numbers: [6]
6,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 25:[35, 28, 57], Operations: ['90-33=57']
Exploring Operation: 35-28=7, Resulting Numbers: [57, 7]
Generated Node #0,0,0: 25:[57, 7] Operation: 35-28=7
Exploring Operation: 35+28=63, Resulting Numbers: [57, 63]
Generated Node #0,0,1: 25:[57, 63] Operation: 35+28=63
Exploring Operation: 57-28=29, Resulting Numbers: [35, 29]
Generated Node #0,0,2: 25:[35, 29] Operation: 57-28=29
Exploring Operation: 57-35=22, Resulting Numbers: [28, 22]
Generated Node #0,0,3: 25:[28, 22] Operation: 57-35=22
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[28, 22], Operations: ['90-33=57', '57-35=22']
Exploring Operation: 28*22=616, Resulting Numbers: [616]
616,25 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 28+22=50, Resulting Numbers: [50]
50,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[35, 29], Operations: ['90-33=57', '57-28=29']
Exploring Operation: 35*29=1015, Resulting Numbers: [1015]
1015,25 unequal: No Solution
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[57, 7], Operations: ['90-33=57', '35-28=7']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 57*7=399, Resulting Numbers: [399]
399,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[57, 63], Operations: ['90-33=57', '35+28=63']
Exploring Operation: 57*63=3591, Resulting Numbers: [3591]
3591,25 unequal: No Solution
Exploring Operation: 57+63=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 25:[35, 33, 62], Operations: ['90-28=62']
Exploring Operation: 35+33=68, Resulting Numbers: [62, 68]
Generated Node #0,1,0: 25:[62, 68] Operation: 35+33=68
Exploring Operation: 62-33=29, Resulting Numbers: [35, 29]
Generated Node #0,1,1: 25:[35, 29] Operation: 62-33=29
Exploring Operation: 35-33=2, Resulting Numbers: [62, 2]
Generated Node #0,1,2: 25:[62, 2] Operation: 35-33=2
Exploring Operation: 62-35=27, Resulting Numbers: [33, 27]
Generated Node #0,1,3: 25:[33, 27] Operation: 62-35=27
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[33, 27], Operations: ['90-28=62', '62-35=27']
Exploring Operation: 33*27=891, Resulting Numbers: [891]
891,25 unequal: No Solution
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[35, 29], Operations: ['90-28=62', '62-33=29']
Exploring Operation: 35*29=1015, Resulting Numbers: [1015]
1015,25 unequal: No Solution
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[62, 2], Operations: ['90-28=62', '35-33=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 62*2=124, Resulting Numbers: [124]
124,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[62, 68], Operations: ['90-28=62', '35+33=68']
Exploring Operation: 62*68=4216, Resulting Numbers: [4216]
4216,25 unequal: No Solution
Exploring Operation: 68-62=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 62+68=130, Resulting Numbers: [130]
130,25 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: 25:[90, 28, 2], Operations: ['35-33=2']
Exploring Operation: 90-2=88, Resulting Numbers: [28, 88]
Generated Node #0,2,0: 25:[28, 88] Operation: 90-2=88
Exploring Operation: 90-28=62, Resulting Numbers: [2, 62]
Generated Node #0,2,1: 25:[2, 62] Operation: 90-28=62
Exploring Operation: 28-2=26, Resulting Numbers: [90, 26]
Generated Node #0,2,2: 25:[90, 26] Operation: 28-2=26
Exploring Operation: 90/2=45, Resulting Numbers: [28, 45]
Generated Node #0,2,3: 25:[28, 45] Operation: 90/2=45
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 25:[28, 45], Operations: ['35-33=2', '90/2=45']
Exploring Operation: 28+45=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 28*45=1260, Resulting Numbers: [1260]
1260,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 25:[2, 62], Operations: ['35-33=2', '90-28=62']
Exploring Operation: 2*62=124, Resulting Numbers: [124]
124,25 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 25:[28, 88], Operations: ['35-33=2', '90-2=88']
Exploring Operation: 28+88=116, Resulting Numbers: [116]
116,25 unequal: No Solution
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,25 unequal: No Solution
Exploring Operation: 28*88=2464, Resulting Numbers: [2464]
2464,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[90, 26], Operations: ['35-33=2', '28-2=26']
Exploring Operation: 90*26=2340, Resulting Numbers: [2340]
2340,25 unequal: No Solution
Exploring Operation: 90+26=116, Resulting Numbers: [116]
116,25 unequal: No Solution
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,25 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 |
[
62,
31,
23,
60
] | 16 | [
"62-60=2",
"31-23=8",
"2*8=16"
] | Current State: 16:[62, 31, 23, 60], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [31, 23, 2]
Generated Node #2: [31, 23, 2] from Operation: 62-60=2
Current State: 16:[31, 23, 2], Operations: ['62-60=2']
Exploring Operation: 31-23=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 31-23=8
Current State: 16:[2, 8], Operations: ['62-60=2', '31-23=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[62, 31, 23, 60], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [31, 23, 2]
Generated Node #0,0: 16:[31, 23, 2] Operation: 62-60=2
Moving to Node #0,0
Current State: 16:[31, 23, 2], Operations: ['62-60=2']
Exploring Operation: 31-23=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 16:[2, 8] Operation: 31-23=8
Moving to Node #0,0,0
Current State: 16:[2, 8], Operations: ['62-60=2', '31-23=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[62, 31, 23, 60], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [31, 23, 2]
Generated Node #0,0: 16:[31, 23, 2] Operation: 62-60=2
Moving to Node #0,0
Current State: 16:[31, 23, 2], Operations: ['62-60=2']
Exploring Operation: 31-23=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 16:[2, 8] Operation: 31-23=8
Moving to Node #0,0,0
Current State: 16:[2, 8], Operations: ['62-60=2', '31-23=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
53,
30,
89,
99
] | 73 | [
"53+30=83",
"99-89=10",
"83-10=73"
] | Current State: 73:[53, 30, 89, 99], Operations: []
Exploring Operation: 53+30=83, Resulting Numbers: [89, 99, 83]
Generated Node #2: [89, 99, 83] from Operation: 53+30=83
Current State: 73:[89, 99, 83], Operations: ['53+30=83']
Exploring Operation: 99-89=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 99-89=10
Current State: 73:[83, 10], Operations: ['53+30=83', '99-89=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[53, 30, 89, 99], Operations: []
Exploring Operation: 99-30=69, Resulting Numbers: [53, 89, 69]
Generated Node #0,0: 73:[53, 89, 69] Operation: 99-30=69
Exploring Operation: 89-30=59, Resulting Numbers: [53, 99, 59]
Generated Node #0,1: 73:[53, 99, 59] Operation: 89-30=59
Exploring Operation: 53+30=83, Resulting Numbers: [89, 99, 83]
Generated Node #0,2: 73:[89, 99, 83] Operation: 53+30=83
Moving to Node #0,0
Current State: 73:[53, 89, 69], Operations: ['99-30=69']
Exploring Operation: 53+89=142, Resulting Numbers: [69, 142]
Generated Node #0,0,0: 73:[69, 142] Operation: 53+89=142
Exploring Operation: 89-53=36, Resulting Numbers: [69, 36]
Generated Node #0,0,1: 73:[69, 36] Operation: 89-53=36
Exploring Operation: 53+69=122, Resulting Numbers: [89, 122]
Generated Node #0,0,2: 73:[89, 122] Operation: 53+69=122
Moving to Node #0,2
Current State: 73:[89, 99, 83], Operations: ['53+30=83']
Exploring Operation: 89-83=6, Resulting Numbers: [99, 6]
Generated Node #0,2,0: 73:[99, 6] Operation: 89-83=6
Exploring Operation: 99-89=10, Resulting Numbers: [83, 10]
Generated Node #0,2,1: 73:[83, 10] Operation: 99-89=10
Exploring Operation: 99-83=16, Resulting Numbers: [89, 16]
Generated Node #0,2,2: 73:[89, 16] Operation: 99-83=16
Moving to Node #0,1
Current State: 73:[53, 99, 59], Operations: ['89-30=59']
Exploring Operation: 53+59=112, Resulting Numbers: [99, 112]
Generated Node #0,1,0: 73:[99, 112] Operation: 53+59=112
Exploring Operation: 99-53=46, Resulting Numbers: [59, 46]
Generated Node #0,1,1: 73:[59, 46] Operation: 99-53=46
Exploring Operation: 99-59=40, Resulting Numbers: [53, 40]
Generated Node #0,1,2: 73:[53, 40] Operation: 99-59=40
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[59, 46], Operations: ['89-30=59', '99-53=46']
Exploring Operation: 59+46=105, Resulting Numbers: [105]
105,73 unequal: No Solution
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 59*46=2714, Resulting Numbers: [2714]
2714,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[53, 40], Operations: ['89-30=59', '99-59=40']
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,73 unequal: No Solution
Exploring Operation: 53*40=2120, Resulting Numbers: [2120]
2120,73 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[99, 112], Operations: ['89-30=59', '53+59=112']
Exploring Operation: 112-99=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 99+112=211, Resulting Numbers: [211]
211,73 unequal: No Solution
Exploring Operation: 99*112=11088, Resulting Numbers: [11088]
11088,73 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: 73:[69, 36], Operations: ['99-30=69', '89-53=36']
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 69*36=2484, Resulting Numbers: [2484]
2484,73 unequal: No Solution
Exploring Operation: 69+36=105, Resulting Numbers: [105]
105,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[89, 122], Operations: ['99-30=69', '53+69=122']
Exploring Operation: 89+122=211, Resulting Numbers: [211]
211,73 unequal: No Solution
Exploring Operation: 122-89=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 89*122=10858, Resulting Numbers: [10858]
10858,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[69, 142], Operations: ['99-30=69', '53+89=142']
Exploring Operation: 142-69=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[53, 30, 89, 99], Operations: []
Exploring Operation: 99-30=69, Resulting Numbers: [53, 89, 69]
Generated Node #0,0: 73:[53, 89, 69] Operation: 99-30=69
Moving to Node #0,0
Current State: 73:[53, 89, 69], Operations: ['99-30=69']
Exploring Operation: 53+89=142, Resulting Numbers: [69, 142]
Generated Node #0,0,0: 73:[69, 142] Operation: 53+89=142
Moving to Node #0,0,0
Current State: 73:[69, 142], Operations: ['99-30=69', '53+89=142']
Exploring Operation: 142-69=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 0.972222 | hs_3 | mult_heuristic |
[
76,
94,
46,
15
] | 29 | [
"94*15=1410",
"1410-76=1334",
"1334/46=29"
] | Current State: 29:[76, 94, 46, 15], Operations: []
Exploring Operation: 94*15=1410, Resulting Numbers: [76, 46, 1410]
Generated Node #2: [76, 46, 1410] from Operation: 94*15=1410
Current State: 29:[76, 46, 1410], Operations: ['94*15=1410']
Exploring Operation: 1410-76=1334, Resulting Numbers: [46, 1334]
Generated Node #3: [46, 1334] from Operation: 1410-76=1334
Current State: 29:[46, 1334], Operations: ['94*15=1410', '1410-76=1334']
Exploring Operation: 1334/46=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[76, 94, 46, 15], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [94, 15, 30]
Generated Node #0,0: 29:[94, 15, 30] Operation: 76-46=30
Exploring Operation: 76-15=61, Resulting Numbers: [94, 46, 61]
Generated Node #0,1: 29:[94, 46, 61] Operation: 76-15=61
Exploring Operation: 94-76=18, Resulting Numbers: [46, 15, 18]
Generated Node #0,2: 29:[46, 15, 18] Operation: 94-76=18
Exploring Operation: 94-46=48, Resulting Numbers: [76, 15, 48]
Generated Node #0,3: 29:[76, 15, 48] Operation: 94-46=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[46, 15, 18], Operations: ['94-76=18']
Exploring Operation: 15+18=33, Resulting Numbers: [46, 33]
Generated Node #0,2,0: 29:[46, 33] Operation: 15+18=33
Exploring Operation: 46-15=31, Resulting Numbers: [18, 31]
Generated Node #0,2,1: 29:[18, 31] Operation: 46-15=31
Exploring Operation: 46+15=61, Resulting Numbers: [18, 61]
Generated Node #0,2,2: 29:[18, 61] Operation: 46+15=61
Exploring Operation: 46-18=28, Resulting Numbers: [15, 28]
Generated Node #0,2,3: 29:[15, 28] Operation: 46-18=28
Moving to Node #0,2,1
Current State: 29:[18, 31], Operations: ['94-76=18', '46-15=31']
Exploring Operation: 18+31=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 18*31=558, Resulting Numbers: [558]
558,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[15, 28], Operations: ['94-76=18', '46-18=28']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,29 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[46, 33], Operations: ['94-76=18', '15+18=33']
Exploring Operation: 46*33=1518, Resulting Numbers: [1518]
1518,29 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[18, 61], Operations: ['94-76=18', '46+15=61']
Exploring Operation: 18+61=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 18*61=1098, Resulting Numbers: [1098]
1098,29 unequal: No Solution
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[94, 15, 30], Operations: ['76-46=30']
Exploring Operation: 94-15=79, Resulting Numbers: [30, 79]
Generated Node #0,0,0: 29:[30, 79] Operation: 94-15=79
Exploring Operation: 94+15=109, Resulting Numbers: [30, 109]
Generated Node #0,0,1: 29:[30, 109] Operation: 94+15=109
Exploring Operation: 30-15=15, Resulting Numbers: [94, 15]
Generated Node #0,0,2: 29:[94, 15] Operation: 30-15=15
Exploring Operation: 94-30=64, Resulting Numbers: [15, 64]
Generated Node #0,0,3: 29:[15, 64] Operation: 94-30=64
Moving to Node #0,0,3
Current State: 29:[15, 64], Operations: ['76-46=30', '94-30=64']
Exploring Operation: 15*64=960, Resulting Numbers: [960]
960,29 unequal: No Solution
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[30, 79], Operations: ['76-46=30', '94-15=79']
Exploring Operation: 30+79=109, Resulting Numbers: [109]
109,29 unequal: No Solution
Exploring Operation: 79-30=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 30*79=2370, Resulting Numbers: [2370]
2370,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[94, 15], Operations: ['76-46=30', '30-15=15']
Exploring Operation: 94*15=1410, Resulting Numbers: [1410]
1410,29 unequal: No Solution
Exploring Operation: 94+15=109, Resulting Numbers: [109]
109,29 unequal: No Solution
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[30, 109], Operations: ['76-46=30', '94+15=109']
Exploring Operation: 109-30=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 30*109=3270, Resulting Numbers: [3270]
3270,29 unequal: No Solution
Exploring Operation: 30+109=139, Resulting Numbers: [139]
139,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[76, 15, 48], Operations: ['94-46=48']
Exploring Operation: 76-48=28, Resulting Numbers: [15, 28]
Generated Node #0,3,0: 29:[15, 28] Operation: 76-48=28
Exploring Operation: 48-15=33, Resulting Numbers: [76, 33]
Generated Node #0,3,1: 29:[76, 33] Operation: 48-15=33
Exploring Operation: 76+15=91, Resulting Numbers: [48, 91]
Generated Node #0,3,2: 29:[48, 91] Operation: 76+15=91
Exploring Operation: 76-15=61, Resulting Numbers: [48, 61]
Generated Node #0,3,3: 29:[48, 61] Operation: 76-15=61
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 29:[15, 28], Operations: ['94-46=48', '76-48=28']
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,29 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 29:[76, 33], Operations: ['94-46=48', '48-15=33']
Exploring Operation: 76+33=109, Resulting Numbers: [109]
109,29 unequal: No Solution
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 76*33=2508, Resulting Numbers: [2508]
2508,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 29:[48, 61], Operations: ['94-46=48', '76-15=61']
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,29 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 29:[48, 91], Operations: ['94-46=48', '76+15=91']
Exploring Operation: 48+91=139, Resulting Numbers: [139]
139,29 unequal: No Solution
Exploring Operation: 48*91=4368, Resulting Numbers: [4368]
4368,29 unequal: No Solution
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[94, 46, 61], Operations: ['76-15=61']
Exploring Operation: 94-46=48, Resulting Numbers: [61, 48]
Generated Node #0,1,0: 29:[61, 48] Operation: 94-46=48
Exploring Operation: 94+46=140, Resulting Numbers: [61, 140]
Generated Node #0,1,1: 29:[61, 140] Operation: 94+46=140
Exploring Operation: 61-46=15, Resulting Numbers: [94, 15]
Generated Node #0,1,2: 29:[94, 15] Operation: 61-46=15
Exploring Operation: 94-61=33, Resulting Numbers: [46, 33]
Generated Node #0,1,3: 29:[46, 33] Operation: 94-61=33
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 29:[46, 33], Operations: ['76-15=61', '94-61=33']
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 46*33=1518, Resulting Numbers: [1518]
1518,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 29:[61, 48], Operations: ['76-15=61', '94-46=48']
Exploring Operation: 61+48=109, Resulting Numbers: [109]
109,29 unequal: No Solution
Exploring Operation: 61*48=2928, Resulting Numbers: [2928]
2928,29 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 29:[94, 15], Operations: ['76-15=61', '61-46=15']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 94+15=109, Resulting Numbers: [109]
109,29 unequal: No Solution
Exploring Operation: 94*15=1410, Resulting Numbers: [1410]
1410,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 29:[61, 140], Operations: ['76-15=61', '94+46=140']
Exploring Operation: 61+140=201, Resulting Numbers: [201]
201,29 unequal: No Solution
Exploring Operation: 140-61=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 61*140=8540, Resulting Numbers: [8540]
8540,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
90,
72,
77,
12
] | 83 | [
"90-72=18",
"77-12=65",
"18+65=83"
] | Current State: 83:[90, 72, 77, 12], Operations: []
Exploring Operation: 90-72=18, Resulting Numbers: [77, 12, 18]
Generated Node #2: [77, 12, 18] from Operation: 90-72=18
Current State: 83:[77, 12, 18], Operations: ['90-72=18']
Exploring Operation: 77-12=65, Resulting Numbers: [18, 65]
Generated Node #3: [18, 65] from Operation: 77-12=65
Current State: 83:[18, 65], Operations: ['90-72=18', '77-12=65']
Exploring Operation: 18+65=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[90, 72, 77, 12], Operations: []
Exploring Operation: 72+12=84, Resulting Numbers: [90, 77, 84]
Generated Node #0,0: 83:[90, 77, 84] Operation: 72+12=84
Exploring Operation: 90+12=102, Resulting Numbers: [72, 77, 102]
Generated Node #0,1: 83:[72, 77, 102] Operation: 90+12=102
Exploring Operation: 77+12=89, Resulting Numbers: [90, 72, 89]
Generated Node #0,2: 83:[90, 72, 89] Operation: 77+12=89
Exploring Operation: 90-12=78, Resulting Numbers: [72, 77, 78]
Generated Node #0,3: 83:[72, 77, 78] Operation: 90-12=78
Exploring Operation: 72-12=60, Resulting Numbers: [90, 77, 60]
Generated Node #0,4: 83:[90, 77, 60] Operation: 72-12=60
Moving to Node #0,0
Current State: 83:[90, 77, 84], Operations: ['72+12=84']
Exploring Operation: 90-77=13, Resulting Numbers: [84, 13]
Generated Node #0,0,0: 83:[84, 13] Operation: 90-77=13
Exploring Operation: 77+84=161, Resulting Numbers: [90, 161]
Generated Node #0,0,1: 83:[90, 161] Operation: 77+84=161
Exploring Operation: 90+77=167, Resulting Numbers: [84, 167]
Generated Node #0,0,2: 83:[84, 167] Operation: 90+77=167
Exploring Operation: 90-84=6, Resulting Numbers: [77, 6]
Generated Node #0,0,3: 83:[77, 6] Operation: 90-84=6
Exploring Operation: 84-77=7, Resulting Numbers: [90, 7]
Generated Node #0,0,4: 83:[90, 7] Operation: 84-77=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[84, 13], Operations: ['72+12=84', '90-77=13']
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,83 unequal: No Solution
Exploring Operation: 84*13=1092, Resulting Numbers: [1092]
1092,83 unequal: No Solution
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[77, 6], Operations: ['72+12=84', '90-84=6']
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 77*6=462, Resulting Numbers: [462]
462,83 unequal: No Solution
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[90, 72, 77, 12], Operations: []
Exploring Operation: 72+12=84, Resulting Numbers: [90, 77, 84]
Generated Node #0,0: 83:[90, 77, 84] Operation: 72+12=84
Moving to Node #0,0
Current State: 83:[90, 77, 84], Operations: ['72+12=84']
Exploring Operation: 90-84=6, Resulting Numbers: [77, 6]
Generated Node #0,0,3: 83:[77, 6] Operation: 90-84=6
Moving to Node #0,0,3
Current State: 83:[77, 6], Operations: ['72+12=84', '90-84=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
22,
3,
98,
34
] | 14 | [
"98-22=76",
"76-34=42",
"42/3=14"
] | Current State: 14:[22, 3, 98, 34], Operations: []
Exploring Operation: 98-22=76, Resulting Numbers: [3, 34, 76]
Generated Node #2: [3, 34, 76] from Operation: 98-22=76
Current State: 14:[3, 34, 76], Operations: ['98-22=76']
Exploring Operation: 76-34=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 76-34=42
Current State: 14:[3, 42], Operations: ['98-22=76', '76-34=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[22, 3, 98, 34], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [22, 3, 64]
Generated Node #0,0: 14:[22, 3, 64] Operation: 98-34=64
Moving to Node #0,0
Current State: 14:[22, 3, 64], Operations: ['98-34=64']
Exploring Operation: 64-22=42, Resulting Numbers: [3, 42]
Generated Node #0,0,0: 14:[3, 42] Operation: 64-22=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[3, 42], Operations: ['98-34=64', '64-22=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[22, 3, 98, 34], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [22, 3, 64]
Generated Node #0,0: 14:[22, 3, 64] Operation: 98-34=64
Moving to Node #0,0
Current State: 14:[22, 3, 64], Operations: ['98-34=64']
Exploring Operation: 64-22=42, Resulting Numbers: [3, 42]
Generated Node #0,0,0: 14:[3, 42] Operation: 64-22=42
Moving to Node #0,0,0
Current State: 14:[3, 42], Operations: ['98-34=64', '64-22=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
77,
77,
10,
43
] | 54 | [
"77/77=1",
"10+43=53",
"1+53=54"
] | Current State: 54:[77, 77, 10, 43], Operations: []
Exploring Operation: 77/77=1, Resulting Numbers: [10, 43, 1]
Generated Node #2: [10, 43, 1] from Operation: 77/77=1
Current State: 54:[10, 43, 1], Operations: ['77/77=1']
Exploring Operation: 10+43=53, Resulting Numbers: [1, 53]
Generated Node #3: [1, 53] from Operation: 10+43=53
Current State: 54:[1, 53], Operations: ['77/77=1', '10+43=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[77, 77, 10, 43], Operations: []
Exploring Operation: 77/77=1, Resulting Numbers: [10, 43, 1]
Generated Node #0,0: 54:[10, 43, 1] Operation: 77/77=1
Exploring Operation: 77-43=34, Resulting Numbers: [77, 10, 34]
Generated Node #0,1: 54:[77, 10, 34] Operation: 77-43=34
Exploring Operation: 77-77=0, Resulting Numbers: [10, 43, 0]
Generated Node #0,2: 54:[10, 43, 0] Operation: 77-77=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[10, 43, 1], Operations: ['77/77=1']
Exploring Operation: 43-10=33, Resulting Numbers: [1, 33]
Generated Node #0,0,0: 54:[1, 33] Operation: 43-10=33
Exploring Operation: 10+43=53, Resulting Numbers: [1, 53]
Generated Node #0,0,1: 54:[1, 53] Operation: 10+43=53
Exploring Operation: 10-1=9, Resulting Numbers: [43, 9]
Generated Node #0,0,2: 54:[43, 9] Operation: 10-1=9
Moving to Node #0,0,1
Current State: 54:[1, 53], Operations: ['77/77=1', '10+43=53']
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[77, 77, 10, 43], Operations: []
Exploring Operation: 77/77=1, Resulting Numbers: [10, 43, 1]
Generated Node #0,0: 54:[10, 43, 1] Operation: 77/77=1
Moving to Node #0,0
Current State: 54:[10, 43, 1], Operations: ['77/77=1']
Exploring Operation: 10+43=53, Resulting Numbers: [1, 53]
Generated Node #0,0,1: 54:[1, 53] Operation: 10+43=53
Moving to Node #0,0,1
Current State: 54:[1, 53], Operations: ['77/77=1', '10+43=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
51,
33,
96,
37
] | 41 | [
"51-33=18",
"96-37=59",
"59-18=41"
] | Current State: 41:[51, 33, 96, 37], Operations: []
Exploring Operation: 51-33=18, Resulting Numbers: [96, 37, 18]
Generated Node #2: [96, 37, 18] from Operation: 51-33=18
Current State: 41:[96, 37, 18], Operations: ['51-33=18']
Exploring Operation: 96-37=59, Resulting Numbers: [18, 59]
Generated Node #3: [18, 59] from Operation: 96-37=59
Current State: 41:[18, 59], Operations: ['51-33=18', '96-37=59']
Exploring Operation: 59-18=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[51, 33, 96, 37], Operations: []
Exploring Operation: 96-51=45, Resulting Numbers: [33, 37, 45]
Generated Node #0,0: 41:[33, 37, 45] Operation: 96-51=45
Exploring Operation: 96-37=59, Resulting Numbers: [51, 33, 59]
Generated Node #0,1: 41:[51, 33, 59] Operation: 96-37=59
Exploring Operation: 96-33=63, Resulting Numbers: [51, 37, 63]
Generated Node #0,2: 41:[51, 37, 63] Operation: 96-33=63
Moving to Node #0,0
Current State: 41:[33, 37, 45], Operations: ['96-51=45']
Exploring Operation: 33+37=70, Resulting Numbers: [45, 70]
Generated Node #0,0,0: 41:[45, 70] Operation: 33+37=70
Exploring Operation: 45-33=12, Resulting Numbers: [37, 12]
Generated Node #0,0,1: 41:[37, 12] Operation: 45-33=12
Exploring Operation: 37-33=4, Resulting Numbers: [45, 4]
Generated Node #0,0,2: 41:[45, 4] Operation: 37-33=4
Moving to Node #0,1
Current State: 41:[51, 33, 59], Operations: ['96-37=59']
Exploring Operation: 59-33=26, Resulting Numbers: [51, 26]
Generated Node #0,1,0: 41:[51, 26] Operation: 59-33=26
Exploring Operation: 51-33=18, Resulting Numbers: [59, 18]
Generated Node #0,1,1: 41:[59, 18] Operation: 51-33=18
Exploring Operation: 59-51=8, Resulting Numbers: [33, 8]
Generated Node #0,1,2: 41:[33, 8] Operation: 59-51=8
Moving to Node #0,2
Current State: 41:[51, 37, 63], Operations: ['96-33=63']
Exploring Operation: 63-51=12, Resulting Numbers: [37, 12]
Generated Node #0,2,0: 41:[37, 12] Operation: 63-51=12
Exploring Operation: 51-37=14, Resulting Numbers: [63, 14]
Generated Node #0,2,1: 41:[63, 14] Operation: 51-37=14
Exploring Operation: 63-37=26, Resulting Numbers: [51, 26]
Generated Node #0,2,2: 41:[51, 26] Operation: 63-37=26
Moving to Node #0,1,0
Current State: 41:[51, 26], Operations: ['96-37=59', '59-33=26']
Exploring Operation: 51*26=1326, Resulting Numbers: [1326]
1326,41 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[51, 26], Operations: ['96-33=63', '63-37=26']
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Exploring Operation: 51*26=1326, Resulting Numbers: [1326]
1326,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[45, 70], Operations: ['96-51=45', '33+37=70']
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,41 unequal: No Solution
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[37, 12], Operations: ['96-51=45', '45-33=12']
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,41 unequal: No Solution
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 37*12=444, Resulting Numbers: [444]
444,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[37, 12], Operations: ['96-33=63', '63-51=12']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 37*12=444, Resulting Numbers: [444]
444,41 unequal: No Solution
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[45, 4], Operations: ['96-51=45', '37-33=4']
Exploring Operation: 45*4=180, Resulting Numbers: [180]
180,41 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[51, 33, 96, 37], Operations: []
Exploring Operation: 96-51=45, Resulting Numbers: [33, 37, 45]
Generated Node #0,0: 41:[33, 37, 45] Operation: 96-51=45
Moving to Node #0,0
Current State: 41:[33, 37, 45], Operations: ['96-51=45']
Exploring Operation: 37-33=4, Resulting Numbers: [45, 4]
Generated Node #0,0,2: 41:[45, 4] Operation: 37-33=4
Moving to Node #0,0,2
Current State: 41:[45, 4], Operations: ['96-51=45', '37-33=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.971354 | hs_3 | sum_heuristic |
[
26,
47,
63,
76
] | 94 | [
"26*47=1222",
"76-63=13",
"1222/13=94"
] | Current State: 94:[26, 47, 63, 76], Operations: []
Exploring Operation: 26*47=1222, Resulting Numbers: [63, 76, 1222]
Generated Node #2: [63, 76, 1222] from Operation: 26*47=1222
Current State: 94:[63, 76, 1222], Operations: ['26*47=1222']
Exploring Operation: 76-63=13, Resulting Numbers: [1222, 13]
Generated Node #3: [1222, 13] from Operation: 76-63=13
Current State: 94:[1222, 13], Operations: ['26*47=1222', '76-63=13']
Exploring Operation: 1222/13=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[26, 47, 63, 76], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [47, 63, 50]
Generated Node #0,0: 94:[47, 63, 50] Operation: 76-26=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[47, 63, 50], Operations: ['76-26=50']
Exploring Operation: 63-50=13, Resulting Numbers: [47, 13]
Generated Node #0,0,0: 94:[47, 13] Operation: 63-50=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[47, 13], Operations: ['76-26=50', '63-50=13']
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,94 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 |
[
88,
14,
55,
11
] | 16 | [
"55-11=44",
"88/44=2",
"14+2=16"
] | Current State: 16:[88, 14, 55, 11], Operations: []
Exploring Operation: 55-11=44, Resulting Numbers: [88, 14, 44]
Generated Node #2: [88, 14, 44] from Operation: 55-11=44
Current State: 16:[88, 14, 44], Operations: ['55-11=44']
Exploring Operation: 88/44=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 88/44=2
Current State: 16:[14, 2], Operations: ['55-11=44', '88/44=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[88, 14, 55, 11], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [14, 55, 8]
Generated Node #0,0: 16:[14, 55, 8] Operation: 88/11=8
Exploring Operation: 88-55=33, Resulting Numbers: [14, 11, 33]
Generated Node #0,1: 16:[14, 11, 33] Operation: 88-55=33
Exploring Operation: 55/11=5, Resulting Numbers: [88, 14, 5]
Generated Node #0,2: 16:[88, 14, 5] Operation: 55/11=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[14, 11, 33], Operations: ['88-55=33']
Exploring Operation: 33-11=22, Resulting Numbers: [14, 22]
Generated Node #0,1,0: 16:[14, 22] Operation: 33-11=22
Exploring Operation: 33-14=19, Resulting Numbers: [11, 19]
Generated Node #0,1,1: 16:[11, 19] Operation: 33-14=19
Exploring Operation: 33/11=3, Resulting Numbers: [14, 3]
Generated Node #0,1,2: 16:[14, 3] Operation: 33/11=3
Moving to Node #0,1,2
Current State: 16:[14, 3], Operations: ['88-55=33', '33/11=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,16 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[11, 19], Operations: ['88-55=33', '33-14=19']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,16 unequal: No Solution
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[14, 22], Operations: ['88-55=33', '33-11=22']
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,16 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,16 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 #0,0
Current State: 16:[14, 55, 8], Operations: ['88/11=8']
Exploring Operation: 55-14=41, Resulting Numbers: [8, 41]
Generated Node #0,0,0: 16:[8, 41] Operation: 55-14=41
Exploring Operation: 55-8=47, Resulting Numbers: [14, 47]
Generated Node #0,0,1: 16:[14, 47] Operation: 55-8=47
Exploring Operation: 14-8=6, Resulting Numbers: [55, 6]
Generated Node #0,0,2: 16:[55, 6] Operation: 14-8=6
Moving to Node #0,0,0
Current State: 16:[8, 41], Operations: ['88/11=8', '55-14=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,16 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[14, 47], Operations: ['88/11=8', '55-8=47']
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,16 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[55, 6], Operations: ['88/11=8', '14-8=6']
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,16 unequal: No Solution
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,16 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:[88, 14, 5], Operations: ['55/11=5']
Exploring Operation: 14-5=9, Resulting Numbers: [88, 9]
Generated Node #0,2,0: 16:[88, 9] Operation: 14-5=9
Exploring Operation: 88-5=83, Resulting Numbers: [14, 83]
Generated Node #0,2,1: 16:[14, 83] Operation: 88-5=83
Exploring Operation: 88-14=74, Resulting Numbers: [5, 74]
Generated Node #0,2,2: 16:[5, 74] Operation: 88-14=74
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 16:[5, 74], Operations: ['55/11=5', '88-14=74']
Exploring Operation: 5+74=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 74-5=69, Resulting Numbers: [69]
69,16 unequal: No Solution
Exploring Operation: 5*74=370, Resulting Numbers: [370]
370,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 16:[14, 83], Operations: ['55/11=5', '88-5=83']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,16 unequal: No Solution
Exploring Operation: 14+83=97, Resulting Numbers: [97]
97,16 unequal: No Solution
Exploring Operation: 14*83=1162, Resulting Numbers: [1162]
1162,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 16:[88, 9], Operations: ['55/11=5', '14-5=9']
Exploring Operation: 88*9=792, Resulting Numbers: [792]
792,16 unequal: No Solution
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 88+9=97, Resulting Numbers: [97]
97,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
40,
12,
95,
35
] | 88 | [
"40-12=28",
"95-35=60",
"28+60=88"
] | Current State: 88:[40, 12, 95, 35], Operations: []
Exploring Operation: 40-12=28, Resulting Numbers: [95, 35, 28]
Generated Node #2: [95, 35, 28] from Operation: 40-12=28
Current State: 88:[95, 35, 28], Operations: ['40-12=28']
Exploring Operation: 95-35=60, Resulting Numbers: [28, 60]
Generated Node #3: [28, 60] from Operation: 95-35=60
Current State: 88:[28, 60], Operations: ['40-12=28', '95-35=60']
Exploring Operation: 28+60=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[40, 12, 95, 35], Operations: []
Exploring Operation: 95-40=55, Resulting Numbers: [12, 35, 55]
Generated Node #0,0: 88:[12, 35, 55] Operation: 95-40=55
Exploring Operation: 12+35=47, Resulting Numbers: [40, 95, 47]
Generated Node #0,1: 88:[40, 95, 47] Operation: 12+35=47
Exploring Operation: 40-35=5, Resulting Numbers: [12, 95, 5]
Generated Node #0,2: 88:[12, 95, 5] Operation: 40-35=5
Exploring Operation: 95-12=83, Resulting Numbers: [40, 35, 83]
Generated Node #0,3: 88:[40, 35, 83] Operation: 95-12=83
Exploring Operation: 35-12=23, Resulting Numbers: [40, 95, 23]
Generated Node #0,4: 88:[40, 95, 23] Operation: 35-12=23
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[12, 95, 5], Operations: ['40-35=5']
Exploring Operation: 12-5=7, Resulting Numbers: [95, 7]
Generated Node #0,2,0: 88:[95, 7] Operation: 12-5=7
Exploring Operation: 12+5=17, Resulting Numbers: [95, 17]
Generated Node #0,2,1: 88:[95, 17] Operation: 12+5=17
Exploring Operation: 95-5=90, Resulting Numbers: [12, 90]
Generated Node #0,2,2: 88:[12, 90] Operation: 95-5=90
Exploring Operation: 95-12=83, Resulting Numbers: [5, 83]
Generated Node #0,2,3: 88:[5, 83] Operation: 95-12=83
Exploring Operation: 95/5=19, Resulting Numbers: [12, 19]
Generated Node #0,2,4: 88:[12, 19] Operation: 95/5=19
Moving to Node #0,2,2
Current State: 88:[12, 90], Operations: ['40-35=5', '95-5=90']
Exploring Operation: 12*90=1080, Resulting Numbers: [1080]
1080,88 unequal: No Solution
Exploring Operation: 12+90=102, Resulting Numbers: [102]
102,88 unequal: No Solution
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,88 unequal: No Solution
Moving to Node #0,2,4
Current State: 88:[12, 19], Operations: ['40-35=5', '95/5=19']
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,88 unequal: No Solution
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Moving to Node #0,2,3
Current State: 88:[5, 83], Operations: ['40-35=5', '95-12=83']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,88 unequal: No Solution
Exploring Operation: 5*83=415, Resulting Numbers: [415]
415,88 unequal: No Solution
Exploring Operation: 5+83=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[40, 12, 95, 35], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [12, 95, 5]
Generated Node #0,2: 88:[12, 95, 5] Operation: 40-35=5
Moving to Node #0,2
Current State: 88:[12, 95, 5], Operations: ['40-35=5']
Exploring Operation: 95-12=83, Resulting Numbers: [5, 83]
Generated Node #0,2,3: 88:[5, 83] Operation: 95-12=83
Moving to Node #0,2,3
Current State: 88:[5, 83], Operations: ['40-35=5', '95-12=83']
Exploring Operation: 5+83=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
42,
65,
82,
79
] | 79 | [
"79-65=14",
"42/14=3",
"82-3=79"
] | Current State: 79:[42, 65, 82, 79], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [42, 82, 14]
Generated Node #2: [42, 82, 14] from Operation: 79-65=14
Current State: 79:[42, 82, 14], Operations: ['79-65=14']
Exploring Operation: 42/14=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 42/14=3
Current State: 79:[82, 3], Operations: ['79-65=14', '42/14=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[42, 65, 82, 79], Operations: []
Exploring Operation: 42+65=107, Resulting Numbers: [82, 79, 107]
Generated Node #0,0: 79:[82, 79, 107] Operation: 42+65=107
Exploring Operation: 82-42=40, Resulting Numbers: [65, 79, 40]
Generated Node #0,1: 79:[65, 79, 40] Operation: 82-42=40
Exploring Operation: 65-42=23, Resulting Numbers: [82, 79, 23]
Generated Node #0,2: 79:[82, 79, 23] Operation: 65-42=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[82, 79, 107], Operations: ['42+65=107']
Exploring Operation: 82-79=3, Resulting Numbers: [107, 3]
Generated Node #0,0,0: 79:[107, 3] Operation: 82-79=3
Exploring Operation: 107-79=28, Resulting Numbers: [82, 28]
Generated Node #0,0,1: 79:[82, 28] Operation: 107-79=28
Exploring Operation: 107-82=25, Resulting Numbers: [79, 25]
Generated Node #0,0,2: 79:[79, 25] Operation: 107-82=25
Moving to Node #0,0,1
Current State: 79:[82, 28], Operations: ['42+65=107', '107-79=28']
Exploring Operation: 82*28=2296, Resulting Numbers: [2296]
2296,79 unequal: No Solution
Exploring Operation: 82+28=110, Resulting Numbers: [110]
110,79 unequal: No Solution
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[79, 25], Operations: ['42+65=107', '107-82=25']
Exploring Operation: 79+25=104, Resulting Numbers: [104]
104,79 unequal: No Solution
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 79*25=1975, Resulting Numbers: [1975]
1975,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[107, 3], Operations: ['42+65=107', '82-79=3']
Exploring Operation: 107*3=321, Resulting Numbers: [321]
321,79 unequal: No Solution
Exploring Operation: 107+3=110, Resulting Numbers: [110]
110,79 unequal: No Solution
Exploring Operation: 107-3=104, Resulting Numbers: [104]
104,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[65, 79, 40], Operations: ['82-42=40']
Exploring Operation: 79+40=119, Resulting Numbers: [65, 119]
Generated Node #0,1,0: 79:[65, 119] Operation: 79+40=119
Exploring Operation: 65-40=25, Resulting Numbers: [79, 25]
Generated Node #0,1,1: 79:[79, 25] Operation: 65-40=25
Exploring Operation: 65+40=105, Resulting Numbers: [79, 105]
Generated Node #0,1,2: 79:[79, 105] Operation: 65+40=105
Moving to Node #0,1,2
Current State: 79:[79, 105], Operations: ['82-42=40', '65+40=105']
Exploring Operation: 79*105=8295, Resulting Numbers: [8295]
8295,79 unequal: No Solution
Exploring Operation: 79+105=184, Resulting Numbers: [184]
184,79 unequal: No Solution
Exploring Operation: 105-79=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[65, 119], Operations: ['82-42=40', '79+40=119']
Exploring Operation: 65*119=7735, Resulting Numbers: [7735]
7735,79 unequal: No Solution
Exploring Operation: 65+119=184, Resulting Numbers: [184]
184,79 unequal: No Solution
Exploring Operation: 119-65=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[79, 25], Operations: ['82-42=40', '65-40=25']
Exploring Operation: 79+25=104, Resulting Numbers: [104]
104,79 unequal: No Solution
Exploring Operation: 79*25=1975, Resulting Numbers: [1975]
1975,79 unequal: No Solution
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[82, 79, 23], Operations: ['65-42=23']
Exploring Operation: 79+23=102, Resulting Numbers: [82, 102]
Generated Node #0,2,0: 79:[82, 102] Operation: 79+23=102
Exploring Operation: 82+23=105, Resulting Numbers: [79, 105]
Generated Node #0,2,1: 79:[79, 105] Operation: 82+23=105
Exploring Operation: 82-23=59, Resulting Numbers: [79, 59]
Generated Node #0,2,2: 79:[79, 59] Operation: 82-23=59
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 79:[79, 59], Operations: ['65-42=23', '82-23=59']
Exploring Operation: 79*59=4661, Resulting Numbers: [4661]
4661,79 unequal: No Solution
Exploring Operation: 79-59=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 79+59=138, Resulting Numbers: [138]
138,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 79:[82, 102], Operations: ['65-42=23', '79+23=102']
Exploring Operation: 82*102=8364, Resulting Numbers: [8364]
8364,79 unequal: No Solution
Exploring Operation: 82+102=184, Resulting Numbers: [184]
184,79 unequal: No Solution
Exploring Operation: 102-82=20, Resulting Numbers: [20]
20,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 79:[79, 105], Operations: ['65-42=23', '82+23=105']
Exploring Operation: 105-79=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 79*105=8295, Resulting Numbers: [8295]
8295,79 unequal: No Solution
Exploring Operation: 79+105=184, Resulting Numbers: [184]
184,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
55,
18,
23,
60
] | 67 | [
"60-55=5",
"18*5=90",
"90-23=67"
] | Current State: 67:[55, 18, 23, 60], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [18, 23, 5]
Generated Node #2: [18, 23, 5] from Operation: 60-55=5
Current State: 67:[18, 23, 5], Operations: ['60-55=5']
Exploring Operation: 18*5=90, Resulting Numbers: [23, 90]
Generated Node #3: [23, 90] from Operation: 18*5=90
Current State: 67:[23, 90], Operations: ['60-55=5', '18*5=90']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[55, 18, 23, 60], Operations: []
Exploring Operation: 18+23=41, Resulting Numbers: [55, 60, 41]
Generated Node #0,0: 67:[55, 60, 41] Operation: 18+23=41
Exploring Operation: 55+23=78, Resulting Numbers: [18, 60, 78]
Generated Node #0,1: 67:[18, 60, 78] Operation: 55+23=78
Exploring Operation: 18+60=78, Resulting Numbers: [55, 23, 78]
Generated Node #0,2: 67:[55, 23, 78] Operation: 18+60=78
Exploring Operation: 55+18=73, Resulting Numbers: [23, 60, 73]
Generated Node #0,3: 67:[23, 60, 73] Operation: 55+18=73
Moving to Node #0,0
Current State: 67:[55, 60, 41], Operations: ['18+23=41']
Exploring Operation: 60-41=19, Resulting Numbers: [55, 19]
Generated Node #0,0,0: 67:[55, 19] Operation: 60-41=19
Exploring Operation: 55+41=96, Resulting Numbers: [60, 96]
Generated Node #0,0,1: 67:[60, 96] Operation: 55+41=96
Exploring Operation: 55-41=14, Resulting Numbers: [60, 14]
Generated Node #0,0,2: 67:[60, 14] Operation: 55-41=14
Exploring Operation: 60+41=101, Resulting Numbers: [55, 101]
Generated Node #0,0,3: 67:[55, 101] Operation: 60+41=101
Moving to Node #0,3
Current State: 67:[23, 60, 73], Operations: ['55+18=73']
Exploring Operation: 73-23=50, Resulting Numbers: [60, 50]
Generated Node #0,3,0: 67:[60, 50] Operation: 73-23=50
Exploring Operation: 23+60=83, Resulting Numbers: [73, 83]
Generated Node #0,3,1: 67:[73, 83] Operation: 23+60=83
Exploring Operation: 23+73=96, Resulting Numbers: [60, 96]
Generated Node #0,3,2: 67:[60, 96] Operation: 23+73=96
Exploring Operation: 60-23=37, Resulting Numbers: [73, 37]
Generated Node #0,3,3: 67:[73, 37] Operation: 60-23=37
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 67:[73, 83], Operations: ['55+18=73', '23+60=83']
Exploring Operation: 83-73=10, Resulting Numbers: [10]
10,67 unequal: No Solution
Exploring Operation: 73*83=6059, Resulting Numbers: [6059]
6059,67 unequal: No Solution
Exploring Operation: 73+83=156, Resulting Numbers: [156]
156,67 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 #0,3,0
Current State: 67:[60, 50], Operations: ['55+18=73', '73-23=50']
Exploring Operation: 60+50=110, Resulting Numbers: [110]
110,67 unequal: No Solution
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,67 unequal: No Solution
Exploring Operation: 60*50=3000, Resulting Numbers: [3000]
3000,67 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 #0,3,2
Current State: 67:[60, 96], Operations: ['55+18=73', '23+73=96']
Exploring Operation: 60*96=5760, Resulting Numbers: [5760]
5760,67 unequal: No Solution
Exploring Operation: 60+96=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 96-60=36, Resulting Numbers: [36]
36,67 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 #0,3,3
Current State: 67:[73, 37], Operations: ['55+18=73', '60-23=37']
Exploring Operation: 73*37=2701, Resulting Numbers: [2701]
2701,67 unequal: No Solution
Exploring Operation: 73+37=110, Resulting Numbers: [110]
110,67 unequal: No Solution
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,67 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:[55, 23, 78], Operations: ['18+60=78']
Exploring Operation: 78-23=55, Resulting Numbers: [55, 55]
Generated Node #0,2,0: 67:[55, 55] Operation: 78-23=55
Exploring Operation: 23+78=101, Resulting Numbers: [55, 101]
Generated Node #0,2,1: 67:[55, 101] Operation: 23+78=101
Exploring Operation: 55-23=32, Resulting Numbers: [78, 32]
Generated Node #0,2,2: 67:[78, 32] Operation: 55-23=32
Exploring Operation: 55+23=78, Resulting Numbers: [78, 78]
Generated Node #0,2,3: 67:[78, 78] Operation: 55+23=78
Moving to Node #0,1
Current State: 67:[18, 60, 78], Operations: ['55+23=78']
Exploring Operation: 18+60=78, Resulting Numbers: [78, 78]
Generated Node #0,1,0: 67:[78, 78] Operation: 18+60=78
Exploring Operation: 78-18=60, Resulting Numbers: [60, 60]
Generated Node #0,1,1: 67:[60, 60] Operation: 78-18=60
Exploring Operation: 18+78=96, Resulting Numbers: [60, 96]
Generated Node #0,1,2: 67:[60, 96] Operation: 18+78=96
Exploring Operation: 60-18=42, Resulting Numbers: [78, 42]
Generated Node #0,1,3: 67:[78, 42] Operation: 60-18=42
Moving to Node #0,1,1
Current State: 67:[60, 60], Operations: ['55+23=78', '78-18=60']
Exploring Operation: 60/60=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 60+60=120, Resulting Numbers: [120]
120,67 unequal: No Solution
Exploring Operation: 60*60=3600, Resulting Numbers: [3600]
3600,67 unequal: No Solution
Exploring Operation: 60-60=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[78, 78], Operations: ['18+60=78', '55+23=78']
Exploring Operation: 78/78=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 78-78=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Exploring Operation: 78+78=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 78*78=6084, Resulting Numbers: [6084]
6084,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[78, 78], Operations: ['55+23=78', '18+60=78']
Exploring Operation: 78+78=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 78-78=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Exploring Operation: 78/78=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 78*78=6084, Resulting Numbers: [6084]
6084,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[55, 55], Operations: ['18+60=78', '78-23=55']
Exploring Operation: 55+55=110, Resulting Numbers: [110]
110,67 unequal: No Solution
Exploring Operation: 55-55=0, Resulting Numbers: [0]
0,67 unequal: No Solution
Exploring Operation: 55*55=3025, Resulting Numbers: [3025]
3025,67 unequal: No Solution
Exploring Operation: 55/55=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[78, 42], Operations: ['55+23=78', '60-18=42']
Exploring Operation: 78*42=3276, Resulting Numbers: [3276]
3276,67 unequal: No Solution
Exploring Operation: 78+42=120, Resulting Numbers: [120]
120,67 unequal: No Solution
Exploring Operation: 78-42=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[60, 96], Operations: ['55+23=78', '18+78=96']
Exploring Operation: 60+96=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 60*96=5760, Resulting Numbers: [5760]
5760,67 unequal: No Solution
Exploring Operation: 96-60=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[60, 96], Operations: ['18+23=41', '55+41=96']
Exploring Operation: 96-60=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 60+96=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 60*96=5760, Resulting Numbers: [5760]
5760,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[55, 101], Operations: ['18+60=78', '23+78=101']
Exploring Operation: 55+101=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 55*101=5555, Resulting Numbers: [5555]
5555,67 unequal: No Solution
Exploring Operation: 101-55=46, Resulting Numbers: [46]
46,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[55, 101], Operations: ['18+23=41', '60+41=101']
Exploring Operation: 55+101=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 101-55=46, Resulting Numbers: [46]
46,67 unequal: No Solution
Exploring Operation: 55*101=5555, Resulting Numbers: [5555]
5555,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[78, 32], Operations: ['18+60=78', '55-23=32']
Exploring Operation: 78*32=2496, Resulting Numbers: [2496]
2496,67 unequal: No Solution
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,67 unequal: No Solution
Exploring Operation: 78+32=110, Resulting Numbers: [110]
110,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[60, 14], Operations: ['18+23=41', '55-41=14']
Exploring Operation: 60*14=840, Resulting Numbers: [840]
840,67 unequal: No Solution
Exploring Operation: 60+14=74, Resulting Numbers: [74]
74,67 unequal: No Solution
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[55, 19], Operations: ['18+23=41', '60-41=19']
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,67 unequal: No Solution
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 55*19=1045, Resulting Numbers: [1045]
1045,67 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
98,
17,
24,
32
] | 48 | [
"98*24=2352",
"17+32=49",
"2352/49=48"
] | Current State: 48:[98, 17, 24, 32], Operations: []
Exploring Operation: 98*24=2352, Resulting Numbers: [17, 32, 2352]
Generated Node #2: [17, 32, 2352] from Operation: 98*24=2352
Current State: 48:[17, 32, 2352], Operations: ['98*24=2352']
Exploring Operation: 17+32=49, Resulting Numbers: [2352, 49]
Generated Node #3: [2352, 49] from Operation: 17+32=49
Current State: 48:[2352, 49], Operations: ['98*24=2352', '17+32=49']
Exploring Operation: 2352/49=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[98, 17, 24, 32], Operations: []
Exploring Operation: 98-24=74, Resulting Numbers: [17, 32, 74]
Generated Node #0,0: 48:[17, 32, 74] Operation: 98-24=74
Exploring Operation: 98-32=66, Resulting Numbers: [17, 24, 66]
Generated Node #0,1: 48:[17, 24, 66] Operation: 98-32=66
Exploring Operation: 17+32=49, Resulting Numbers: [98, 24, 49]
Generated Node #0,2: 48:[98, 24, 49] Operation: 17+32=49
Exploring Operation: 98-17=81, Resulting Numbers: [24, 32, 81]
Generated Node #0,3: 48:[24, 32, 81] Operation: 98-17=81
Exploring Operation: 32-17=15, Resulting Numbers: [98, 24, 15]
Generated Node #0,4: 48:[98, 24, 15] Operation: 32-17=15
Moving to Node #0,1
Current State: 48:[17, 24, 66], Operations: ['98-32=66']
Exploring Operation: 66-17=49, Resulting Numbers: [24, 49]
Generated Node #0,1,0: 48:[24, 49] Operation: 66-17=49
Exploring Operation: 17+24=41, Resulting Numbers: [66, 41]
Generated Node #0,1,1: 48:[66, 41] Operation: 17+24=41
Exploring Operation: 17+66=83, Resulting Numbers: [24, 83]
Generated Node #0,1,2: 48:[24, 83] Operation: 17+66=83
Exploring Operation: 24-17=7, Resulting Numbers: [66, 7]
Generated Node #0,1,3: 48:[66, 7] Operation: 24-17=7
Exploring Operation: 66-24=42, Resulting Numbers: [17, 42]
Generated Node #0,1,4: 48:[17, 42] Operation: 66-24=42
Moving to Node #0,0
Current State: 48:[17, 32, 74], Operations: ['98-24=74']
Exploring Operation: 32-17=15, Resulting Numbers: [74, 15]
Generated Node #0,0,0: 48:[74, 15] Operation: 32-17=15
Exploring Operation: 17+74=91, Resulting Numbers: [32, 91]
Generated Node #0,0,1: 48:[32, 91] Operation: 17+74=91
Exploring Operation: 74-17=57, Resulting Numbers: [32, 57]
Generated Node #0,0,2: 48:[32, 57] Operation: 74-17=57
Exploring Operation: 74-32=42, Resulting Numbers: [17, 42]
Generated Node #0,0,3: 48:[17, 42] Operation: 74-32=42
Exploring Operation: 17+32=49, Resulting Numbers: [74, 49]
Generated Node #0,0,4: 48:[74, 49] Operation: 17+32=49
Moving to Node #0,3
Current State: 48:[24, 32, 81], Operations: ['98-17=81']
Exploring Operation: 32-24=8, Resulting Numbers: [81, 8]
Generated Node #0,3,0: 48:[81, 8] Operation: 32-24=8
Exploring Operation: 81-24=57, Resulting Numbers: [32, 57]
Generated Node #0,3,1: 48:[32, 57] Operation: 81-24=57
Exploring Operation: 24+32=56, Resulting Numbers: [81, 56]
Generated Node #0,3,2: 48:[81, 56] Operation: 24+32=56
Exploring Operation: 24+81=105, Resulting Numbers: [32, 105]
Generated Node #0,3,3: 48:[32, 105] Operation: 24+81=105
Exploring Operation: 81-32=49, Resulting Numbers: [24, 49]
Generated Node #0,3,4: 48:[24, 49] Operation: 81-32=49
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 48:[24, 49], Operations: ['98-17=81', '81-32=49']
Exploring Operation: 24+49=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 24*49=1176, Resulting Numbers: [1176]
1176,48 unequal: No Solution
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[32, 57], Operations: ['98-17=81', '81-24=57']
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 32+57=89, Resulting Numbers: [89]
89,48 unequal: No Solution
Exploring Operation: 32*57=1824, Resulting Numbers: [1824]
1824,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[81, 8], Operations: ['98-17=81', '32-24=8']
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,48 unequal: No Solution
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 81*8=648, Resulting Numbers: [648]
648,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[81, 56], Operations: ['98-17=81', '24+32=56']
Exploring Operation: 81-56=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 81+56=137, Resulting Numbers: [137]
137,48 unequal: No Solution
Exploring Operation: 81*56=4536, Resulting Numbers: [4536]
4536,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[32, 105], Operations: ['98-17=81', '24+81=105']
Exploring Operation: 105-32=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 32+105=137, Resulting Numbers: [137]
137,48 unequal: No Solution
Exploring Operation: 32*105=3360, Resulting Numbers: [3360]
3360,48 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: 48:[98, 24, 49], Operations: ['17+32=49']
Exploring Operation: 98-49=49, Resulting Numbers: [24, 49]
Generated Node #0,2,0: 48:[24, 49] Operation: 98-49=49
Exploring Operation: 98+24=122, Resulting Numbers: [49, 122]
Generated Node #0,2,1: 48:[49, 122] Operation: 98+24=122
Exploring Operation: 98-24=74, Resulting Numbers: [49, 74]
Generated Node #0,2,2: 48:[49, 74] Operation: 98-24=74
Exploring Operation: 98/49=2, Resulting Numbers: [24, 2]
Generated Node #0,2,3: 48:[24, 2] Operation: 98/49=2
Exploring Operation: 49-24=25, Resulting Numbers: [98, 25]
Generated Node #0,2,4: 48:[98, 25] Operation: 49-24=25
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 48:[24, 2], Operations: ['17+32=49', '98/49=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[98, 17, 24, 32], Operations: []
Exploring Operation: 17+32=49, Resulting Numbers: [98, 24, 49]
Generated Node #0,2: 48:[98, 24, 49] Operation: 17+32=49
Moving to Node #0,2
Current State: 48:[98, 24, 49], Operations: ['17+32=49']
Exploring Operation: 98/49=2, Resulting Numbers: [24, 2]
Generated Node #0,2,3: 48:[24, 2] Operation: 98/49=2
Moving to Node #0,2,3
Current State: 48:[24, 2], Operations: ['17+32=49', '98/49=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | sum_heuristic |
[
22,
65,
73,
70
] | 19 | [
"22+73=95",
"70-65=5",
"95/5=19"
] | Current State: 19:[22, 65, 73, 70], Operations: []
Exploring Operation: 22+73=95, Resulting Numbers: [65, 70, 95]
Generated Node #2: [65, 70, 95] from Operation: 22+73=95
Current State: 19:[65, 70, 95], Operations: ['22+73=95']
Exploring Operation: 70-65=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 70-65=5
Current State: 19:[95, 5], Operations: ['22+73=95', '70-65=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[22, 65, 73, 70], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [22, 70, 8]
Generated Node #0,0: 19:[22, 70, 8] Operation: 73-65=8
Exploring Operation: 73-70=3, Resulting Numbers: [22, 65, 3]
Generated Node #0,1: 19:[22, 65, 3] Operation: 73-70=3
Moving to Node #0,0
Current State: 19:[22, 70, 8], Operations: ['73-65=8']
Exploring Operation: 70-22=48, Resulting Numbers: [8, 48]
Generated Node #0,0,0: 19:[8, 48] Operation: 70-22=48
Exploring Operation: 70-8=62, Resulting Numbers: [22, 62]
Generated Node #0,0,1: 19:[22, 62] Operation: 70-8=62
Moving to Node #0,1
Current State: 19:[22, 65, 3], Operations: ['73-70=3']
Exploring Operation: 65-22=43, Resulting Numbers: [3, 43]
Generated Node #0,1,0: 19:[3, 43] Operation: 65-22=43
Exploring Operation: 22-3=19, Resulting Numbers: [65, 19]
Generated Node #0,1,1: 19:[65, 19] Operation: 22-3=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[3, 43], Operations: ['73-70=3', '65-22=43']
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[65, 19], Operations: ['73-70=3', '22-3=19']
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,19 unequal: No Solution
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,19 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: 19:[8, 48], Operations: ['73-65=8', '70-22=48']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[22, 62], Operations: ['73-65=8', '70-8=62']
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 22+62=84, Resulting Numbers: [84]
84,19 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
25,
9,
35,
8
] | 11 | [
"25-9=16",
"35-8=27",
"27-16=11"
] | Current State: 11:[25, 9, 35, 8], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [35, 8, 16]
Generated Node #2: [35, 8, 16] from Operation: 25-9=16
Current State: 11:[35, 8, 16], Operations: ['25-9=16']
Exploring Operation: 35-8=27, Resulting Numbers: [16, 27]
Generated Node #3: [16, 27] from Operation: 35-8=27
Current State: 11:[16, 27], Operations: ['25-9=16', '35-8=27']
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[25, 9, 35, 8], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [9, 8, 10]
Generated Node #0,0: 11:[9, 8, 10] Operation: 35-25=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[9, 8, 10], Operations: ['35-25=10']
Exploring Operation: 9+8=17, Resulting Numbers: [10, 17]
Generated Node #0,0,0: 11:[10, 17] Operation: 9+8=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[10, 17], Operations: ['35-25=10', '9+8=17']
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
82,
6,
65,
93
] | 40 | [
"82+65=147",
"93+147=240",
"240/6=40"
] | Current State: 40:[82, 6, 65, 93], Operations: []
Exploring Operation: 82+65=147, Resulting Numbers: [6, 93, 147]
Generated Node #2: [6, 93, 147] from Operation: 82+65=147
Current State: 40:[6, 93, 147], Operations: ['82+65=147']
Exploring Operation: 93+147=240, Resulting Numbers: [6, 240]
Generated Node #3: [6, 240] from Operation: 93+147=240
Current State: 40:[6, 240], Operations: ['82+65=147', '93+147=240']
Exploring Operation: 240/6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[82, 6, 65, 93], Operations: []
Exploring Operation: 93-82=11, Resulting Numbers: [6, 65, 11]
Generated Node #0,0: 40:[6, 65, 11] Operation: 93-82=11
Exploring Operation: 93-65=28, Resulting Numbers: [82, 6, 28]
Generated Node #0,1: 40:[82, 6, 28] Operation: 93-65=28
Moving to Node #0,0
Current State: 40:[6, 65, 11], Operations: ['93-82=11']
Exploring Operation: 65-6=59, Resulting Numbers: [11, 59]
Generated Node #0,0,0: 40:[11, 59] Operation: 65-6=59
Exploring Operation: 65-11=54, Resulting Numbers: [6, 54]
Generated Node #0,0,1: 40:[6, 54] Operation: 65-11=54
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[6, 54], Operations: ['93-82=11', '65-11=54']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,40 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,40 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 #0,0,0
Current State: 40:[11, 59], Operations: ['93-82=11', '65-6=59']
Exploring Operation: 11+59=70, Resulting Numbers: [70]
70,40 unequal: No Solution
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,40 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: 40:[82, 6, 28], Operations: ['93-65=28']
Exploring Operation: 82-6=76, Resulting Numbers: [28, 76]
Generated Node #0,1,0: 40:[28, 76] Operation: 82-6=76
Exploring Operation: 82-28=54, Resulting Numbers: [6, 54]
Generated Node #0,1,1: 40:[6, 54] Operation: 82-28=54
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 40:[6, 54], Operations: ['93-65=28', '82-28=54']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,40 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,40 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 #0,1,0
Current State: 40:[28, 76], Operations: ['93-65=28', '82-6=76']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,40 unequal: No Solution
Exploring Operation: 28+76=104, Resulting Numbers: [104]
104,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
92,
94,
18,
5
] | 46 | [
"94-92=2",
"18+5=23",
"2*23=46"
] | Current State: 46:[92, 94, 18, 5], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [18, 5, 2]
Generated Node #2: [18, 5, 2] from Operation: 94-92=2
Current State: 46:[18, 5, 2], Operations: ['94-92=2']
Exploring Operation: 18+5=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 18+5=23
Current State: 46:[2, 23], Operations: ['94-92=2', '18+5=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[92, 94, 18, 5], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [18, 5, 2]
Generated Node #0,0: 46:[18, 5, 2] Operation: 94-92=2
Moving to Node #0,0
Current State: 46:[18, 5, 2], Operations: ['94-92=2']
Exploring Operation: 18+5=23, Resulting Numbers: [2, 23]
Generated Node #0,0,0: 46:[2, 23] Operation: 18+5=23
Moving to Node #0,0,0
Current State: 46:[2, 23], Operations: ['94-92=2', '18+5=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[92, 94, 18, 5], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [18, 5, 2]
Generated Node #0,0: 46:[18, 5, 2] Operation: 94-92=2
Moving to Node #0,0
Current State: 46:[18, 5, 2], Operations: ['94-92=2']
Exploring Operation: 18+5=23, Resulting Numbers: [2, 23]
Generated Node #0,0,0: 46:[2, 23] Operation: 18+5=23
Moving to Node #0,0,0
Current State: 46:[2, 23], Operations: ['94-92=2', '18+5=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
15,
26,
42,
57
] | 25 | [
"15+42=57",
"57/57=1",
"26-1=25"
] | Current State: 25:[15, 26, 42, 57], Operations: []
Exploring Operation: 15+42=57, Resulting Numbers: [26, 57, 57]
Generated Node #2: [26, 57, 57] from Operation: 15+42=57
Current State: 25:[26, 57, 57], Operations: ['15+42=57']
Exploring Operation: 57/57=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 57/57=1
Current State: 25:[26, 1], Operations: ['15+42=57', '57/57=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[15, 26, 42, 57], Operations: []
Exploring Operation: 57-42=15, Resulting Numbers: [15, 26, 15]
Generated Node #0,0: 25:[15, 26, 15] Operation: 57-42=15
Moving to Node #0,0
Current State: 25:[15, 26, 15], Operations: ['57-42=15']
Exploring Operation: 15/15=1, Resulting Numbers: [26, 1]
Generated Node #0,0,0: 25:[26, 1] Operation: 15/15=1
Moving to Node #0,0,0
Current State: 25:[26, 1], Operations: ['57-42=15', '15/15=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[15, 26, 42, 57], Operations: []
Exploring Operation: 57-42=15, Resulting Numbers: [15, 26, 15]
Generated Node #0,0: 25:[15, 26, 15] Operation: 57-42=15
Moving to Node #0,0
Current State: 25:[15, 26, 15], Operations: ['57-42=15']
Exploring Operation: 15/15=1, Resulting Numbers: [26, 1]
Generated Node #0,0,0: 25:[26, 1] Operation: 15/15=1
Moving to Node #0,0,0
Current State: 25:[26, 1], Operations: ['57-42=15', '15/15=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
91,
20,
86,
85
] | 81 | [
"91-86=5",
"20/5=4",
"85-4=81"
] | Current State: 81:[91, 20, 86, 85], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [20, 85, 5]
Generated Node #2: [20, 85, 5] from Operation: 91-86=5
Current State: 81:[20, 85, 5], Operations: ['91-86=5']
Exploring Operation: 20/5=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 20/5=4
Current State: 81:[85, 4], Operations: ['91-86=5', '20/5=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[91, 20, 86, 85], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [20, 85, 5]
Generated Node #0,0: 81:[20, 85, 5] Operation: 91-86=5
Exploring Operation: 86-85=1, Resulting Numbers: [91, 20, 1]
Generated Node #0,1: 81:[91, 20, 1] Operation: 86-85=1
Exploring Operation: 86-20=66, Resulting Numbers: [91, 85, 66]
Generated Node #0,2: 81:[91, 85, 66] Operation: 86-20=66
Exploring Operation: 91-85=6, Resulting Numbers: [20, 86, 6]
Generated Node #0,3: 81:[20, 86, 6] Operation: 91-85=6
Exploring Operation: 91-20=71, Resulting Numbers: [86, 85, 71]
Generated Node #0,4: 81:[86, 85, 71] Operation: 91-20=71
Moving to Node #0,0
Current State: 81:[20, 85, 5], Operations: ['91-86=5']
Exploring Operation: 20-5=15, Resulting Numbers: [85, 15]
Generated Node #0,0,0: 81:[85, 15] Operation: 20-5=15
Exploring Operation: 85-5=80, Resulting Numbers: [20, 80]
Generated Node #0,0,1: 81:[20, 80] Operation: 85-5=80
Exploring Operation: 20/5=4, Resulting Numbers: [85, 4]
Generated Node #0,0,2: 81:[85, 4] Operation: 20/5=4
Exploring Operation: 20+5=25, Resulting Numbers: [85, 25]
Generated Node #0,0,3: 81:[85, 25] Operation: 20+5=25
Exploring Operation: 85/5=17, Resulting Numbers: [20, 17]
Generated Node #0,0,4: 81:[20, 17] Operation: 85/5=17
Moving to Node #0,3
Current State: 81:[20, 86, 6], Operations: ['91-85=6']
Exploring Operation: 86+6=92, Resulting Numbers: [20, 92]
Generated Node #0,3,0: 81:[20, 92] Operation: 86+6=92
Exploring Operation: 20+6=26, Resulting Numbers: [86, 26]
Generated Node #0,3,1: 81:[86, 26] Operation: 20+6=26
Exploring Operation: 86-20=66, Resulting Numbers: [6, 66]
Generated Node #0,3,2: 81:[6, 66] Operation: 86-20=66
Exploring Operation: 20-6=14, Resulting Numbers: [86, 14]
Generated Node #0,3,3: 81:[86, 14] Operation: 20-6=14
Exploring Operation: 86-6=80, Resulting Numbers: [20, 80]
Generated Node #0,3,4: 81:[20, 80] Operation: 86-6=80
Moving to Node #0,1
Current State: 81:[91, 20, 1], Operations: ['86-85=1']
Exploring Operation: 20+1=21, Resulting Numbers: [91, 21]
Generated Node #0,1,0: 81:[91, 21] Operation: 20+1=21
Exploring Operation: 91*1=91, Resulting Numbers: [20, 91]
Generated Node #0,1,1: 81:[20, 91] Operation: 91*1=91
Exploring Operation: 91-1=90, Resulting Numbers: [20, 90]
Generated Node #0,1,2: 81:[20, 90] Operation: 91-1=90
Exploring Operation: 91/1=91, Resulting Numbers: [20, 91]
Generated Node #0,1,3: 81:[20, 91] Operation: 91/1=91
Exploring Operation: 91-20=71, Resulting Numbers: [1, 71]
Generated Node #0,1,4: 81:[1, 71] Operation: 91-20=71
Moving to Node #0,4
Current State: 81:[86, 85, 71], Operations: ['91-20=71']
Exploring Operation: 86-85=1, Resulting Numbers: [71, 1]
Generated Node #0,4,0: 81:[71, 1] Operation: 86-85=1
Exploring Operation: 86-71=15, Resulting Numbers: [85, 15]
Generated Node #0,4,1: 81:[85, 15] Operation: 86-71=15
Exploring Operation: 85+71=156, Resulting Numbers: [86, 156]
Generated Node #0,4,2: 81:[86, 156] Operation: 85+71=156
Exploring Operation: 85-71=14, Resulting Numbers: [86, 14]
Generated Node #0,4,3: 81:[86, 14] Operation: 85-71=14
Exploring Operation: 86+71=157, Resulting Numbers: [85, 157]
Generated Node #0,4,4: 81:[85, 157] Operation: 86+71=157
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 81:[85, 15], Operations: ['91-20=71', '86-71=15']
Exploring Operation: 85*15=1275, Resulting Numbers: [1275]
1275,81 unequal: No Solution
Exploring Operation: 85-15=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 85+15=100, Resulting Numbers: [100]
100,81 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 #0,4,3
Current State: 81:[86, 14], Operations: ['91-20=71', '85-71=14']
Exploring Operation: 86+14=100, Resulting Numbers: [100]
100,81 unequal: No Solution
Exploring Operation: 86-14=72, Resulting Numbers: [72]
72,81 unequal: No Solution
Exploring Operation: 86*14=1204, Resulting Numbers: [1204]
1204,81 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 #0,4,0
Current State: 81:[71, 1], Operations: ['91-20=71', '86-85=1']
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,81 unequal: No Solution
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,81 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 71+1=72, Resulting Numbers: [72]
72,81 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 #0,4,2
Current State: 81:[86, 156], Operations: ['91-20=71', '85+71=156']
Exploring Operation: 86+156=242, Resulting Numbers: [242]
242,81 unequal: No Solution
Exploring Operation: 86*156=13416, Resulting Numbers: [13416]
13416,81 unequal: No Solution
Exploring Operation: 156-86=70, Resulting Numbers: [70]
70,81 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 #0,4,4
Current State: 81:[85, 157], Operations: ['91-20=71', '86+71=157']
Exploring Operation: 85+157=242, Resulting Numbers: [242]
242,81 unequal: No Solution
Exploring Operation: 157-85=72, Resulting Numbers: [72]
72,81 unequal: No Solution
Exploring Operation: 85*157=13345, Resulting Numbers: [13345]
13345,81 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: 81:[91, 85, 66], Operations: ['86-20=66']
Exploring Operation: 91+66=157, Resulting Numbers: [85, 157]
Generated Node #0,2,0: 81:[85, 157] Operation: 91+66=157
Exploring Operation: 91-85=6, Resulting Numbers: [66, 6]
Generated Node #0,2,1: 81:[66, 6] Operation: 91-85=6
Exploring Operation: 91-66=25, Resulting Numbers: [85, 25]
Generated Node #0,2,2: 81:[85, 25] Operation: 91-66=25
Exploring Operation: 85-66=19, Resulting Numbers: [91, 19]
Generated Node #0,2,3: 81:[91, 19] Operation: 85-66=19
Exploring Operation: 85+66=151, Resulting Numbers: [91, 151]
Generated Node #0,2,4: 81:[91, 151] Operation: 85+66=151
Moving to Node #0,0,2
Current State: 81:[85, 4], Operations: ['91-86=5', '20/5=4']
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,81 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[91, 20, 86, 85], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [20, 85, 5]
Generated Node #0,0: 81:[20, 85, 5] Operation: 91-86=5
Moving to Node #0,0
Current State: 81:[20, 85, 5], Operations: ['91-86=5']
Exploring Operation: 20/5=4, Resulting Numbers: [85, 4]
Generated Node #0,0,2: 81:[85, 4] Operation: 20/5=4
Moving to Node #0,0,2
Current State: 81:[85, 4], Operations: ['91-86=5', '20/5=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.953993 | hs_5 | sum_heuristic |
[
35,
92,
6,
97
] | 21 | [
"35*6=210",
"92+97=189",
"210-189=21"
] | Current State: 21:[35, 92, 6, 97], Operations: []
Exploring Operation: 35*6=210, Resulting Numbers: [92, 97, 210]
Generated Node #2: [92, 97, 210] from Operation: 35*6=210
Current State: 21:[92, 97, 210], Operations: ['35*6=210']
Exploring Operation: 92+97=189, Resulting Numbers: [210, 189]
Generated Node #3: [210, 189] from Operation: 92+97=189
Current State: 21:[210, 189], Operations: ['35*6=210', '92+97=189']
Exploring Operation: 210-189=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[35, 92, 6, 97], Operations: []
Exploring Operation: 97-35=62, Resulting Numbers: [92, 6, 62]
Generated Node #0,0: 21:[92, 6, 62] Operation: 97-35=62
Exploring Operation: 97-92=5, Resulting Numbers: [35, 6, 5]
Generated Node #0,1: 21:[35, 6, 5] Operation: 97-92=5
Exploring Operation: 92-35=57, Resulting Numbers: [6, 97, 57]
Generated Node #0,2: 21:[6, 97, 57] Operation: 92-35=57
Moving to Node #0,1
Current State: 21:[35, 6, 5], Operations: ['97-92=5']
Exploring Operation: 35-6=29, Resulting Numbers: [5, 29]
Generated Node #0,1,0: 21:[5, 29] Operation: 35-6=29
Exploring Operation: 35/5=7, Resulting Numbers: [6, 7]
Generated Node #0,1,1: 21:[6, 7] Operation: 35/5=7
Exploring Operation: 35-5=30, Resulting Numbers: [6, 30]
Generated Node #0,1,2: 21:[6, 30] Operation: 35-5=30
Moving to Node #0,0
Current State: 21:[92, 6, 62], Operations: ['97-35=62']
Exploring Operation: 92-62=30, Resulting Numbers: [6, 30]
Generated Node #0,0,0: 21:[6, 30] Operation: 92-62=30
Exploring Operation: 62-6=56, Resulting Numbers: [92, 56]
Generated Node #0,0,1: 21:[92, 56] Operation: 62-6=56
Exploring Operation: 92-6=86, Resulting Numbers: [62, 86]
Generated Node #0,0,2: 21:[62, 86] Operation: 92-6=86
Moving to Node #0,2
Current State: 21:[6, 97, 57], Operations: ['92-35=57']
Exploring Operation: 57-6=51, Resulting Numbers: [97, 51]
Generated Node #0,2,0: 21:[97, 51] Operation: 57-6=51
Exploring Operation: 97-6=91, Resulting Numbers: [57, 91]
Generated Node #0,2,1: 21:[57, 91] Operation: 97-6=91
Exploring Operation: 97-57=40, Resulting Numbers: [6, 40]
Generated Node #0,2,2: 21:[6, 40] Operation: 97-57=40
Moving to Node #0,1,1
Current State: 21:[6, 7], Operations: ['97-92=5', '35/5=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[6, 30], Operations: ['97-92=5', '35-5=30']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[5, 29], Operations: ['97-92=5', '35-6=29']
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 5*29=145, Resulting Numbers: [145]
145,21 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[6, 30], Operations: ['97-35=62', '92-62=30']
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Moving to Node #0,2,2
Current State: 21:[6, 40], Operations: ['92-35=57', '97-57=40']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,21 unequal: No Solution
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[62, 86], Operations: ['97-35=62', '92-6=86']
Exploring Operation: 62+86=148, Resulting Numbers: [148]
148,21 unequal: No Solution
Exploring Operation: 86-62=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 62*86=5332, Resulting Numbers: [5332]
5332,21 unequal: No Solution
Moving to Node #0,2,1
Current State: 21:[57, 91], Operations: ['92-35=57', '97-6=91']
Exploring Operation: 57+91=148, Resulting Numbers: [148]
148,21 unequal: No Solution
Exploring Operation: 57*91=5187, Resulting Numbers: [5187]
5187,21 unequal: No Solution
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[92, 56], Operations: ['97-35=62', '62-6=56']
Exploring Operation: 92+56=148, Resulting Numbers: [148]
148,21 unequal: No Solution
Exploring Operation: 92-56=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Exploring Operation: 92*56=5152, Resulting Numbers: [5152]
5152,21 unequal: No Solution
Moving to Node #0,2,0
Current State: 21:[97, 51], Operations: ['92-35=57', '57-6=51']
Exploring Operation: 97*51=4947, Resulting Numbers: [4947]
4947,21 unequal: No Solution
Exploring Operation: 97+51=148, Resulting Numbers: [148]
148,21 unequal: No Solution
Exploring Operation: 97-51=46, Resulting Numbers: [46]
46,21 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
74,
32,
80,
55
] | 17 | [
"74-32=42",
"80-55=25",
"42-25=17"
] | Current State: 17:[74, 32, 80, 55], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [80, 55, 42]
Generated Node #2: [80, 55, 42] from Operation: 74-32=42
Current State: 17:[80, 55, 42], Operations: ['74-32=42']
Exploring Operation: 80-55=25, Resulting Numbers: [42, 25]
Generated Node #3: [42, 25] from Operation: 80-55=25
Current State: 17:[42, 25], Operations: ['74-32=42', '80-55=25']
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[74, 32, 80, 55], Operations: []
Exploring Operation: 80-55=25, Resulting Numbers: [74, 32, 25]
Generated Node #0,0: 17:[74, 32, 25] Operation: 80-55=25
Exploring Operation: 74-55=19, Resulting Numbers: [32, 80, 19]
Generated Node #0,1: 17:[32, 80, 19] Operation: 74-55=19
Exploring Operation: 74-32=42, Resulting Numbers: [80, 55, 42]
Generated Node #0,2: 17:[80, 55, 42] Operation: 74-32=42
Exploring Operation: 80-74=6, Resulting Numbers: [32, 55, 6]
Generated Node #0,3: 17:[32, 55, 6] Operation: 80-74=6
Exploring Operation: 80-32=48, Resulting Numbers: [74, 55, 48]
Generated Node #0,4: 17:[74, 55, 48] Operation: 80-32=48
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[32, 55, 6], Operations: ['80-74=6']
Exploring Operation: 55-32=23, Resulting Numbers: [6, 23]
Generated Node #0,3,0: 17:[6, 23] Operation: 55-32=23
Exploring Operation: 32+6=38, Resulting Numbers: [55, 38]
Generated Node #0,3,1: 17:[55, 38] Operation: 32+6=38
Exploring Operation: 55+6=61, Resulting Numbers: [32, 61]
Generated Node #0,3,2: 17:[32, 61] Operation: 55+6=61
Exploring Operation: 32-6=26, Resulting Numbers: [55, 26]
Generated Node #0,3,3: 17:[55, 26] Operation: 32-6=26
Exploring Operation: 55-6=49, Resulting Numbers: [32, 49]
Generated Node #0,3,4: 17:[32, 49] Operation: 55-6=49
Moving to Node #0,3,0
Current State: 17:[6, 23], Operations: ['80-74=6', '55-32=23']
Exploring Operation: 6+23=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[74, 32, 80, 55], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [32, 55, 6]
Generated Node #0,3: 17:[32, 55, 6] Operation: 80-74=6
Moving to Node #0,3
Current State: 17:[32, 55, 6], Operations: ['80-74=6']
Exploring Operation: 55-32=23, Resulting Numbers: [6, 23]
Generated Node #0,3,0: 17:[6, 23] Operation: 55-32=23
Moving to Node #0,3,0
Current State: 17:[6, 23], Operations: ['80-74=6', '55-32=23']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
21,
3,
92,
87
] | 58 | [
"21*3=63",
"92-87=5",
"63-5=58"
] | Current State: 58:[21, 3, 92, 87], Operations: []
Exploring Operation: 21*3=63, Resulting Numbers: [92, 87, 63]
Generated Node #2: [92, 87, 63] from Operation: 21*3=63
Current State: 58:[92, 87, 63], Operations: ['21*3=63']
Exploring Operation: 92-87=5, Resulting Numbers: [63, 5]
Generated Node #3: [63, 5] from Operation: 92-87=5
Current State: 58:[63, 5], Operations: ['21*3=63', '92-87=5']
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[21, 3, 92, 87], Operations: []
Exploring Operation: 87/3=29, Resulting Numbers: [21, 92, 29]
Generated Node #0,0: 58:[21, 92, 29] Operation: 87/3=29
Exploring Operation: 92-87=5, Resulting Numbers: [21, 3, 5]
Generated Node #0,1: 58:[21, 3, 5] Operation: 92-87=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[21, 3, 5], Operations: ['92-87=5']
Exploring Operation: 21+5=26, Resulting Numbers: [3, 26]
Generated Node #0,1,0: 58:[3, 26] Operation: 21+5=26
Exploring Operation: 21+3=24, Resulting Numbers: [5, 24]
Generated Node #0,1,1: 58:[5, 24] Operation: 21+3=24
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[3, 26], Operations: ['92-87=5', '21+5=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,58 unequal: No Solution
No 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: 58:[5, 24], Operations: ['92-87=5', '21+3=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,58 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: 58:[21, 92, 29], Operations: ['87/3=29']
Exploring Operation: 92-21=71, Resulting Numbers: [29, 71]
Generated Node #0,0,0: 58:[29, 71] Operation: 92-21=71
Exploring Operation: 92-29=63, Resulting Numbers: [21, 63]
Generated Node #0,0,1: 58:[21, 63] Operation: 92-29=63
Moving to Node #0,0,0
Current State: 58:[29, 71], Operations: ['87/3=29', '92-21=71']
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 29+71=100, Resulting Numbers: [100]
100,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[21, 63], Operations: ['87/3=29', '92-29=63']
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,58 unequal: No Solution
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
7,
62,
78,
3
] | 17 | [
"62+78=140",
"140/7=20",
"20-3=17"
] | Current State: 17:[7, 62, 78, 3], Operations: []
Exploring Operation: 62+78=140, Resulting Numbers: [7, 3, 140]
Generated Node #2: [7, 3, 140] from Operation: 62+78=140
Current State: 17:[7, 3, 140], Operations: ['62+78=140']
Exploring Operation: 140/7=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 140/7=20
Current State: 17:[3, 20], Operations: ['62+78=140', '140/7=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[7, 62, 78, 3], Operations: []
Exploring Operation: 78/3=26, Resulting Numbers: [7, 62, 26]
Generated Node #0,0: 17:[7, 62, 26] Operation: 78/3=26
Exploring Operation: 7*3=21, Resulting Numbers: [62, 78, 21]
Generated Node #0,1: 17:[62, 78, 21] Operation: 7*3=21
Exploring Operation: 62-7=55, Resulting Numbers: [78, 3, 55]
Generated Node #0,2: 17:[78, 3, 55] Operation: 62-7=55
Exploring Operation: 78-62=16, Resulting Numbers: [7, 3, 16]
Generated Node #0,3: 17:[7, 3, 16] Operation: 78-62=16
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[7, 3, 16], Operations: ['78-62=16']
Exploring Operation: 7+3=10, Resulting Numbers: [16, 10]
Generated Node #0,3,0: 17:[16, 10] Operation: 7+3=10
Exploring Operation: 3+16=19, Resulting Numbers: [7, 19]
Generated Node #0,3,1: 17:[7, 19] Operation: 3+16=19
Exploring Operation: 7*3=21, Resulting Numbers: [16, 21]
Generated Node #0,3,2: 17:[16, 21] Operation: 7*3=21
Exploring Operation: 7-3=4, Resulting Numbers: [16, 4]
Generated Node #0,3,3: 17:[16, 4] Operation: 7-3=4
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 17:[16, 21], Operations: ['78-62=16', '7*3=21']
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,17 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,17 unequal: No Solution
No 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: 17:[16, 10], Operations: ['78-62=16', '7+3=10']
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,17 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,17 unequal: No Solution
No 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: 17:[7, 19], Operations: ['78-62=16', '3+16=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,17 unequal: No Solution
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,17 unequal: No Solution
No 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: 17:[16, 4], Operations: ['78-62=16', '7-3=4']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,17 unequal: No Solution
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[7, 62, 26], Operations: ['78/3=26']
Exploring Operation: 62-7=55, Resulting Numbers: [26, 55]
Generated Node #0,0,0: 17:[26, 55] Operation: 62-7=55
Exploring Operation: 7+62=69, Resulting Numbers: [26, 69]
Generated Node #0,0,1: 17:[26, 69] Operation: 7+62=69
Exploring Operation: 62-26=36, Resulting Numbers: [7, 36]
Generated Node #0,0,2: 17:[7, 36] Operation: 62-26=36
Exploring Operation: 26-7=19, Resulting Numbers: [62, 19]
Generated Node #0,0,3: 17:[62, 19] Operation: 26-7=19
Moving to Node #0,0,2
Current State: 17:[7, 36], Operations: ['78/3=26', '62-26=36']
Exploring Operation: 7*36=252, Resulting Numbers: [252]
252,17 unequal: No Solution
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[62, 19], Operations: ['78/3=26', '26-7=19']
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,17 unequal: No Solution
Exploring Operation: 62*19=1178, Resulting Numbers: [1178]
1178,17 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[26, 55], Operations: ['78/3=26', '62-7=55']
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 26+55=81, Resulting Numbers: [81]
81,17 unequal: No Solution
Exploring Operation: 26*55=1430, Resulting Numbers: [1430]
1430,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[26, 69], Operations: ['78/3=26', '7+62=69']
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,17 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,17 unequal: No Solution
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[62, 78, 21], Operations: ['7*3=21']
Exploring Operation: 78-21=57, Resulting Numbers: [62, 57]
Generated Node #0,1,0: 17:[62, 57] Operation: 78-21=57
Exploring Operation: 78-62=16, Resulting Numbers: [21, 16]
Generated Node #0,1,1: 17:[21, 16] Operation: 78-62=16
Exploring Operation: 62-21=41, Resulting Numbers: [78, 41]
Generated Node #0,1,2: 17:[78, 41] Operation: 62-21=41
Exploring Operation: 62+78=140, Resulting Numbers: [21, 140]
Generated Node #0,1,3: 17:[21, 140] Operation: 62+78=140
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 17:[21, 16], Operations: ['7*3=21', '78-62=16']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,17 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,17 unequal: No Solution
No 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: 17:[62, 57], Operations: ['7*3=21', '78-21=57']
Exploring Operation: 62*57=3534, Resulting Numbers: [3534]
3534,17 unequal: No Solution
Exploring Operation: 62-57=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Exploring Operation: 62+57=119, Resulting Numbers: [119]
119,17 unequal: No Solution
No 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: 17:[78, 41], Operations: ['7*3=21', '62-21=41']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,17 unequal: No Solution
Exploring Operation: 78*41=3198, Resulting Numbers: [3198]
3198,17 unequal: No Solution
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,17 unequal: No Solution
No 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: 17:[21, 140], Operations: ['7*3=21', '62+78=140']
Exploring Operation: 21+140=161, Resulting Numbers: [161]
161,17 unequal: No Solution
Exploring Operation: 21*140=2940, Resulting Numbers: [2940]
2940,17 unequal: No Solution
Exploring Operation: 140-21=119, Resulting Numbers: [119]
119,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[78, 3, 55], Operations: ['62-7=55']
Exploring Operation: 78-3=75, Resulting Numbers: [55, 75]
Generated Node #0,2,0: 17:[55, 75] Operation: 78-3=75
Exploring Operation: 55-3=52, Resulting Numbers: [78, 52]
Generated Node #0,2,1: 17:[78, 52] Operation: 55-3=52
Exploring Operation: 78-55=23, Resulting Numbers: [3, 23]
Generated Node #0,2,2: 17:[3, 23] Operation: 78-55=23
Exploring Operation: 78/3=26, Resulting Numbers: [55, 26]
Generated Node #0,2,3: 17:[55, 26] Operation: 78/3=26
Moving to Node #0,2,2
Current State: 17:[3, 23], Operations: ['62-7=55', '78-55=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,17 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,17 unequal: No Solution
Moving to Node #0,2,3
Current State: 17:[55, 26], Operations: ['62-7=55', '78/3=26']
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 55*26=1430, Resulting Numbers: [1430]
1430,17 unequal: No Solution
Exploring Operation: 55+26=81, Resulting Numbers: [81]
81,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[78, 52], Operations: ['62-7=55', '55-3=52']
Exploring Operation: 78*52=4056, Resulting Numbers: [4056]
4056,17 unequal: No Solution
Exploring Operation: 78+52=130, Resulting Numbers: [130]
130,17 unequal: No Solution
Exploring Operation: 78-52=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[55, 75], Operations: ['62-7=55', '78-3=75']
Exploring Operation: 55*75=4125, Resulting Numbers: [4125]
4125,17 unequal: No Solution
Exploring Operation: 75-55=20, Resulting Numbers: [20]
20,17 unequal: No Solution
Exploring Operation: 55+75=130, Resulting Numbers: [130]
130,17 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 |
[
63,
74,
84,
23
] | 96 | [
"74-63=11",
"84+23=107",
"107-11=96"
] | Current State: 96:[63, 74, 84, 23], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [84, 23, 11]
Generated Node #2: [84, 23, 11] from Operation: 74-63=11
Current State: 96:[84, 23, 11], Operations: ['74-63=11']
Exploring Operation: 84+23=107, Resulting Numbers: [11, 107]
Generated Node #3: [11, 107] from Operation: 84+23=107
Current State: 96:[11, 107], Operations: ['74-63=11', '84+23=107']
Exploring Operation: 107-11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[63, 74, 84, 23], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [84, 23, 11]
Generated Node #0,0: 96:[84, 23, 11] Operation: 74-63=11
Moving to Node #0,0
Current State: 96:[84, 23, 11], Operations: ['74-63=11']
Exploring Operation: 84+11=95, Resulting Numbers: [23, 95]
Generated Node #0,0,0: 96:[23, 95] Operation: 84+11=95
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[23, 95], Operations: ['74-63=11', '84+11=95']
Exploring Operation: 23+95=118, Resulting Numbers: [118]
118,96 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 |
[
94,
32,
63,
56
] | 54 | [
"94+32=126",
"126/63=2",
"56-2=54"
] | Current State: 54:[94, 32, 63, 56], Operations: []
Exploring Operation: 94+32=126, Resulting Numbers: [63, 56, 126]
Generated Node #2: [63, 56, 126] from Operation: 94+32=126
Current State: 54:[63, 56, 126], Operations: ['94+32=126']
Exploring Operation: 126/63=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 126/63=2
Current State: 54:[56, 2], Operations: ['94+32=126', '126/63=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[94, 32, 63, 56], Operations: []
Exploring Operation: 94-63=31, Resulting Numbers: [32, 56, 31]
Generated Node #0,0: 54:[32, 56, 31] Operation: 94-63=31
Exploring Operation: 94-32=62, Resulting Numbers: [63, 56, 62]
Generated Node #0,1: 54:[63, 56, 62] Operation: 94-32=62
Exploring Operation: 94-56=38, Resulting Numbers: [32, 63, 38]
Generated Node #0,2: 54:[32, 63, 38] Operation: 94-56=38
Moving to Node #0,0
Current State: 54:[32, 56, 31], Operations: ['94-63=31']
Exploring Operation: 56-31=25, Resulting Numbers: [32, 25]
Generated Node #0,0,0: 54:[32, 25] Operation: 56-31=25
Exploring Operation: 32-31=1, Resulting Numbers: [56, 1]
Generated Node #0,0,1: 54:[56, 1] Operation: 32-31=1
Exploring Operation: 56-32=24, Resulting Numbers: [31, 24]
Generated Node #0,0,2: 54:[31, 24] Operation: 56-32=24
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[56, 1], Operations: ['94-63=31', '32-31=1']
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,54 unequal: No Solution
No 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: 54:[32, 25], Operations: ['94-63=31', '56-31=25']
Exploring Operation: 32*25=800, Resulting Numbers: [800]
800,54 unequal: No Solution
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,54 unequal: No Solution
No 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: 54:[31, 24], Operations: ['94-63=31', '56-32=24']
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,54 unequal: No Solution
Exploring Operation: 31*24=744, Resulting Numbers: [744]
744,54 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: 54:[63, 56, 62], Operations: ['94-32=62']
Exploring Operation: 63-62=1, Resulting Numbers: [56, 1]
Generated Node #0,1,0: 54:[56, 1] Operation: 63-62=1
Exploring Operation: 62-56=6, Resulting Numbers: [63, 6]
Generated Node #0,1,1: 54:[63, 6] Operation: 62-56=6
Exploring Operation: 63-56=7, Resulting Numbers: [62, 7]
Generated Node #0,1,2: 54:[62, 7] Operation: 63-56=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 54:[56, 1], Operations: ['94-32=62', '63-62=1']
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,54 unequal: No Solution
No 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: 54:[63, 6], Operations: ['94-32=62', '62-56=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,54 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Exploring Operation: 63*6=378, Resulting Numbers: [378]
378,54 unequal: No Solution
No 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: 54:[62, 7], Operations: ['94-32=62', '63-56=7']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,54 unequal: No Solution
Exploring Operation: 62+7=69, Resulting Numbers: [69]
69,54 unequal: No Solution
Exploring Operation: 62*7=434, Resulting Numbers: [434]
434,54 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: 54:[32, 63, 38], Operations: ['94-56=38']
Exploring Operation: 63-38=25, Resulting Numbers: [32, 25]
Generated Node #0,2,0: 54:[32, 25] Operation: 63-38=25
Exploring Operation: 63-32=31, Resulting Numbers: [38, 31]
Generated Node #0,2,1: 54:[38, 31] Operation: 63-32=31
Exploring Operation: 38-32=6, Resulting Numbers: [63, 6]
Generated Node #0,2,2: 54:[63, 6] Operation: 38-32=6
Moving to Node #0,2,0
Current State: 54:[32, 25], Operations: ['94-56=38', '63-38=25']
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Exploring Operation: 32*25=800, Resulting Numbers: [800]
800,54 unequal: No Solution
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Moving to Node #0,2,2
Current State: 54:[63, 6], Operations: ['94-56=38', '38-32=6']
Exploring Operation: 63*6=378, Resulting Numbers: [378]
378,54 unequal: No Solution
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,54 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Moving to Node #0,2,1
Current State: 54:[38, 31], Operations: ['94-56=38', '63-32=31']
Exploring Operation: 38*31=1178, Resulting Numbers: [1178]
1178,54 unequal: No Solution
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,54 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
28,
75,
33,
90
] | 76 | [
"75-28=47",
"33+90=123",
"123-47=76"
] | Current State: 76:[28, 75, 33, 90], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [33, 90, 47]
Generated Node #2: [33, 90, 47] from Operation: 75-28=47
Current State: 76:[33, 90, 47], Operations: ['75-28=47']
Exploring Operation: 33+90=123, Resulting Numbers: [47, 123]
Generated Node #3: [47, 123] from Operation: 33+90=123
Current State: 76:[47, 123], Operations: ['75-28=47', '33+90=123']
Exploring Operation: 123-47=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[28, 75, 33, 90], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [33, 90, 47]
Generated Node #0,0: 76:[33, 90, 47] Operation: 75-28=47
Exploring Operation: 33-28=5, Resulting Numbers: [75, 90, 5]
Generated Node #0,1: 76:[75, 90, 5] Operation: 33-28=5
Exploring Operation: 75-33=42, Resulting Numbers: [28, 90, 42]
Generated Node #0,2: 76:[28, 90, 42] Operation: 75-33=42
Exploring Operation: 90-75=15, Resulting Numbers: [28, 33, 15]
Generated Node #0,3: 76:[28, 33, 15] Operation: 90-75=15
Exploring Operation: 90-28=62, Resulting Numbers: [75, 33, 62]
Generated Node #0,4: 76:[75, 33, 62] Operation: 90-28=62
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[75, 90, 5], Operations: ['33-28=5']
Exploring Operation: 75+5=80, Resulting Numbers: [90, 80]
Generated Node #0,1,0: 76:[90, 80] Operation: 75+5=80
Exploring Operation: 90-5=85, Resulting Numbers: [75, 85]
Generated Node #0,1,1: 76:[75, 85] Operation: 90-5=85
Exploring Operation: 90/5=18, Resulting Numbers: [75, 18]
Generated Node #0,1,2: 76:[75, 18] Operation: 90/5=18
Exploring Operation: 75/5=15, Resulting Numbers: [90, 15]
Generated Node #0,1,3: 76:[90, 15] Operation: 75/5=15
Exploring Operation: 90-75=15, Resulting Numbers: [5, 15]
Generated Node #0,1,4: 76:[5, 15] Operation: 90-75=15
Moving to Node #0,1,2
Current State: 76:[75, 18], Operations: ['33-28=5', '90/5=18']
Exploring Operation: 75-18=57, Resulting Numbers: [57]
57,76 unequal: No Solution
Exploring Operation: 75*18=1350, Resulting Numbers: [1350]
1350,76 unequal: No Solution
Exploring Operation: 75+18=93, Resulting Numbers: [93]
93,76 unequal: No Solution
Moving to Node #0,1,4
Current State: 76:[5, 15], Operations: ['33-28=5', '90-75=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[75, 85], Operations: ['33-28=5', '90-5=85']
Exploring Operation: 75+85=160, Resulting Numbers: [160]
160,76 unequal: No Solution
Exploring Operation: 85-75=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 75*85=6375, Resulting Numbers: [6375]
6375,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[90, 80], Operations: ['33-28=5', '75+5=80']
Exploring Operation: 90+80=170, Resulting Numbers: [170]
170,76 unequal: No Solution
Exploring Operation: 90-80=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 90*80=7200, Resulting Numbers: [7200]
7200,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[90, 15], Operations: ['33-28=5', '75/5=15']
Exploring Operation: 90+15=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Exploring Operation: 90*15=1350, Resulting Numbers: [1350]
1350,76 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[28, 33, 15], Operations: ['90-75=15']
Exploring Operation: 28-15=13, Resulting Numbers: [33, 13]
Generated Node #0,3,0: 76:[33, 13] Operation: 28-15=13
Exploring Operation: 33-28=5, Resulting Numbers: [15, 5]
Generated Node #0,3,1: 76:[15, 5] Operation: 33-28=5
Exploring Operation: 33-15=18, Resulting Numbers: [28, 18]
Generated Node #0,3,2: 76:[28, 18] Operation: 33-15=18
Exploring Operation: 28+33=61, Resulting Numbers: [15, 61]
Generated Node #0,3,3: 76:[15, 61] Operation: 28+33=61
Exploring Operation: 28+15=43, Resulting Numbers: [33, 43]
Generated Node #0,3,4: 76:[33, 43] Operation: 28+15=43
Moving to Node #0,3,1
Current State: 76:[15, 5], Operations: ['90-75=15', '33-28=5']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Moving to Node #0,3,4
Current State: 76:[33, 43], Operations: ['90-75=15', '28+15=43']
Exploring Operation: 33+43=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[28, 75, 33, 90], Operations: []
Exploring Operation: 90-75=15, Resulting Numbers: [28, 33, 15]
Generated Node #0,3: 76:[28, 33, 15] Operation: 90-75=15
Moving to Node #0,3
Current State: 76:[28, 33, 15], Operations: ['90-75=15']
Exploring Operation: 28+15=43, Resulting Numbers: [33, 43]
Generated Node #0,3,4: 76:[33, 43] Operation: 28+15=43
Moving to Node #0,3,4
Current State: 76:[33, 43], Operations: ['90-75=15', '28+15=43']
Exploring Operation: 33+43=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
77,
55,
51,
16
] | 47 | [
"77+51=128",
"128/16=8",
"55-8=47"
] | Current State: 47:[77, 55, 51, 16], Operations: []
Exploring Operation: 77+51=128, Resulting Numbers: [55, 16, 128]
Generated Node #2: [55, 16, 128] from Operation: 77+51=128
Current State: 47:[55, 16, 128], Operations: ['77+51=128']
Exploring Operation: 128/16=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 128/16=8
Current State: 47:[55, 8], Operations: ['77+51=128', '128/16=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[77, 55, 51, 16], Operations: []
Exploring Operation: 77-16=61, Resulting Numbers: [55, 51, 61]
Generated Node #0,0: 47:[55, 51, 61] Operation: 77-16=61
Exploring Operation: 77+16=93, Resulting Numbers: [55, 51, 93]
Generated Node #0,1: 47:[55, 51, 93] Operation: 77+16=93
Exploring Operation: 55-16=39, Resulting Numbers: [77, 51, 39]
Generated Node #0,2: 47:[77, 51, 39] Operation: 55-16=39
Exploring Operation: 51-16=35, Resulting Numbers: [77, 55, 35]
Generated Node #0,3: 47:[77, 55, 35] Operation: 51-16=35
Exploring Operation: 55+16=71, Resulting Numbers: [77, 51, 71]
Generated Node #0,4: 47:[77, 51, 71] Operation: 55+16=71
Moving to Node #0,0
Current State: 47:[55, 51, 61], Operations: ['77-16=61']
Exploring Operation: 55+51=106, Resulting Numbers: [61, 106]
Generated Node #0,0,0: 47:[61, 106] Operation: 55+51=106
Exploring Operation: 61-51=10, Resulting Numbers: [55, 10]
Generated Node #0,0,1: 47:[55, 10] Operation: 61-51=10
Exploring Operation: 55+61=116, Resulting Numbers: [51, 116]
Generated Node #0,0,2: 47:[51, 116] Operation: 55+61=116
Exploring Operation: 61-55=6, Resulting Numbers: [51, 6]
Generated Node #0,0,3: 47:[51, 6] Operation: 61-55=6
Exploring Operation: 55-51=4, Resulting Numbers: [61, 4]
Generated Node #0,0,4: 47:[61, 4] Operation: 55-51=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[55, 10], Operations: ['77-16=61', '61-51=10']
Exploring Operation: 55+10=65, Resulting Numbers: [65]
65,47 unequal: No Solution
Exploring Operation: 55-10=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 55*10=550, Resulting Numbers: [550]
550,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[51, 6], Operations: ['77-16=61', '61-55=6']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 47:[61, 4], Operations: ['77-16=61', '55-51=4']
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,47 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 61*4=244, Resulting Numbers: [244]
244,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[61, 106], Operations: ['77-16=61', '55+51=106']
Exploring Operation: 61+106=167, Resulting Numbers: [167]
167,47 unequal: No Solution
Exploring Operation: 106-61=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 61*106=6466, Resulting Numbers: [6466]
6466,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[51, 116], Operations: ['77-16=61', '55+61=116']
Exploring Operation: 51*116=5916, Resulting Numbers: [5916]
5916,47 unequal: No Solution
Exploring Operation: 51+116=167, Resulting Numbers: [167]
167,47 unequal: No Solution
Exploring Operation: 116-51=65, Resulting Numbers: [65]
65,47 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: 47:[77, 51, 39], Operations: ['55-16=39']
Exploring Operation: 51+39=90, Resulting Numbers: [77, 90]
Generated Node #0,2,0: 47:[77, 90] Operation: 51+39=90
Exploring Operation: 77-51=26, Resulting Numbers: [39, 26]
Generated Node #0,2,1: 47:[39, 26] Operation: 77-51=26
Exploring Operation: 77-39=38, Resulting Numbers: [51, 38]
Generated Node #0,2,2: 47:[51, 38] Operation: 77-39=38
Exploring Operation: 51-39=12, Resulting Numbers: [77, 12]
Generated Node #0,2,3: 47:[77, 12] Operation: 51-39=12
Exploring Operation: 77+39=116, Resulting Numbers: [51, 116]
Generated Node #0,2,4: 47:[51, 116] Operation: 77+39=116
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[51, 38], Operations: ['55-16=39', '77-39=38']
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,47 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[39, 26], Operations: ['55-16=39', '77-51=26']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,47 unequal: No Solution
Exploring Operation: 39*26=1014, Resulting Numbers: [1014]
1014,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 47:[77, 12], Operations: ['55-16=39', '51-39=12']
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 77*12=924, Resulting Numbers: [924]
924,47 unequal: No Solution
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[77, 90], Operations: ['55-16=39', '51+39=90']
Exploring Operation: 77+90=167, Resulting Numbers: [167]
167,47 unequal: No Solution
Exploring Operation: 77*90=6930, Resulting Numbers: [6930]
6930,47 unequal: No Solution
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 47:[51, 116], Operations: ['55-16=39', '77+39=116']
Exploring Operation: 51+116=167, Resulting Numbers: [167]
167,47 unequal: No Solution
Exploring Operation: 116-51=65, Resulting Numbers: [65]
65,47 unequal: No Solution
Exploring Operation: 51*116=5916, Resulting Numbers: [5916]
5916,47 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: 47:[77, 55, 35], Operations: ['51-16=35']
Exploring Operation: 55-35=20, Resulting Numbers: [77, 20]
Generated Node #0,3,0: 47:[77, 20] Operation: 55-35=20
Exploring Operation: 77-55=22, Resulting Numbers: [35, 22]
Generated Node #0,3,1: 47:[35, 22] Operation: 77-55=22
Exploring Operation: 77-35=42, Resulting Numbers: [55, 42]
Generated Node #0,3,2: 47:[55, 42] Operation: 77-35=42
Exploring Operation: 77+35=112, Resulting Numbers: [55, 112]
Generated Node #0,3,3: 47:[55, 112] Operation: 77+35=112
Exploring Operation: 55+35=90, Resulting Numbers: [77, 90]
Generated Node #0,3,4: 47:[77, 90] Operation: 55+35=90
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 47:[55, 42], Operations: ['51-16=35', '77-35=42']
Exploring Operation: 55+42=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Exploring Operation: 55*42=2310, Resulting Numbers: [2310]
2310,47 unequal: No Solution
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 47:[35, 22], Operations: ['51-16=35', '77-55=22']
Exploring Operation: 35*22=770, Resulting Numbers: [770]
770,47 unequal: No Solution
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 47:[77, 20], Operations: ['51-16=35', '55-35=20']
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,47 unequal: No Solution
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 47:[55, 112], Operations: ['51-16=35', '77+35=112']
Exploring Operation: 55+112=167, Resulting Numbers: [167]
167,47 unequal: No Solution
Exploring Operation: 112-55=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 55*112=6160, Resulting Numbers: [6160]
6160,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 47:[77, 90], Operations: ['51-16=35', '55+35=90']
Exploring Operation: 77+90=167, Resulting Numbers: [167]
167,47 unequal: No Solution
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 77*90=6930, Resulting Numbers: [6930]
6930,47 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: 47:[55, 51, 93], Operations: ['77+16=93']
Exploring Operation: 93-51=42, Resulting Numbers: [55, 42]
Generated Node #0,1,0: 47:[55, 42] Operation: 93-51=42
Exploring Operation: 93-55=38, Resulting Numbers: [51, 38]
Generated Node #0,1,1: 47:[51, 38] Operation: 93-55=38
Exploring Operation: 55-51=4, Resulting Numbers: [93, 4]
Generated Node #0,1,2: 47:[93, 4] Operation: 55-51=4
Exploring Operation: 55+51=106, Resulting Numbers: [93, 106]
Generated Node #0,1,3: 47:[93, 106] Operation: 55+51=106
Exploring Operation: 55+93=148, Resulting Numbers: [51, 148]
Generated Node #0,1,4: 47:[51, 148] Operation: 55+93=148
Moving to Node #0,4
Current State: 47:[77, 51, 71], Operations: ['55+16=71']
Exploring Operation: 71-51=20, Resulting Numbers: [77, 20]
Generated Node #0,4,0: 47:[77, 20] Operation: 71-51=20
Exploring Operation: 77+51=128, Resulting Numbers: [71, 128]
Generated Node #0,4,1: 47:[71, 128] Operation: 77+51=128
Exploring Operation: 77-51=26, Resulting Numbers: [71, 26]
Generated Node #0,4,2: 47:[71, 26] Operation: 77-51=26
Exploring Operation: 77-71=6, Resulting Numbers: [51, 6]
Generated Node #0,4,3: 47:[51, 6] Operation: 77-71=6
Exploring Operation: 77+71=148, Resulting Numbers: [51, 148]
Generated Node #0,4,4: 47:[51, 148] Operation: 77+71=148
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 47:[71, 26], Operations: ['55+16=71', '77-51=26']
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 71*26=1846, Resulting Numbers: [1846]
1846,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 47:[51, 6], Operations: ['55+16=71', '77-71=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 47:[77, 20], Operations: ['55+16=71', '71-51=20']
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,47 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 47:[71, 128], Operations: ['55+16=71', '77+51=128']
Exploring Operation: 71*128=9088, Resulting Numbers: [9088]
9088,47 unequal: No Solution
Exploring Operation: 128-71=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 71+128=199, Resulting Numbers: [199]
199,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 47:[51, 148], Operations: ['55+16=71', '77+71=148']
Exploring Operation: 51+148=199, Resulting Numbers: [199]
199,47 unequal: No Solution
Exploring Operation: 148-51=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Exploring Operation: 51*148=7548, Resulting Numbers: [7548]
7548,47 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: 47:[55, 42], Operations: ['77+16=93', '93-51=42']
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 55+42=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Exploring Operation: 55*42=2310, Resulting Numbers: [2310]
2310,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[51, 38], Operations: ['77+16=93', '93-55=38']
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,47 unequal: No Solution
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[93, 4], Operations: ['77+16=93', '55-51=4']
Exploring Operation: 93*4=372, Resulting Numbers: [372]
372,47 unequal: No Solution
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[93, 106], Operations: ['77+16=93', '55+51=106']
Exploring Operation: 93*106=9858, Resulting Numbers: [9858]
9858,47 unequal: No Solution
Exploring Operation: 93+106=199, Resulting Numbers: [199]
199,47 unequal: No Solution
Exploring Operation: 106-93=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Moving to Node #0,1,4
Current State: 47:[51, 148], Operations: ['77+16=93', '55+93=148']
Exploring Operation: 51+148=199, Resulting Numbers: [199]
199,47 unequal: No Solution
Exploring Operation: 148-51=97, Resulting Numbers: [97]
97,47 unequal: No Solution
Exploring Operation: 51*148=7548, Resulting Numbers: [7548]
7548,47 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
20,
39,
99,
2
] | 89 | [
"39+99=138",
"138/2=69",
"20+69=89"
] | Current State: 89:[20, 39, 99, 2], Operations: []
Exploring Operation: 39+99=138, Resulting Numbers: [20, 2, 138]
Generated Node #2: [20, 2, 138] from Operation: 39+99=138
Current State: 89:[20, 2, 138], Operations: ['39+99=138']
Exploring Operation: 138/2=69, Resulting Numbers: [20, 69]
Generated Node #3: [20, 69] from Operation: 138/2=69
Current State: 89:[20, 69], Operations: ['39+99=138', '138/2=69']
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[20, 39, 99, 2], Operations: []
Exploring Operation: 39*2=78, Resulting Numbers: [20, 99, 78]
Generated Node #0,0: 89:[20, 99, 78] Operation: 39*2=78
Exploring Operation: 20+2=22, Resulting Numbers: [39, 99, 22]
Generated Node #0,1: 89:[39, 99, 22] Operation: 20+2=22
Exploring Operation: 20+39=59, Resulting Numbers: [99, 2, 59]
Generated Node #0,2: 89:[99, 2, 59] Operation: 20+39=59
Exploring Operation: 20*2=40, Resulting Numbers: [39, 99, 40]
Generated Node #0,3: 89:[39, 99, 40] Operation: 20*2=40
Exploring Operation: 39+2=41, Resulting Numbers: [20, 99, 41]
Generated Node #0,4: 89:[20, 99, 41] Operation: 39+2=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[20, 99, 78], Operations: ['39*2=78']
Exploring Operation: 20+99=119, Resulting Numbers: [78, 119]
Generated Node #0,0,0: 89:[78, 119] Operation: 20+99=119
Exploring Operation: 99-78=21, Resulting Numbers: [20, 21]
Generated Node #0,0,1: 89:[20, 21] Operation: 99-78=21
Exploring Operation: 99-20=79, Resulting Numbers: [78, 79]
Generated Node #0,0,2: 89:[78, 79] Operation: 99-20=79
Exploring Operation: 20+78=98, Resulting Numbers: [99, 98]
Generated Node #0,0,3: 89:[99, 98] Operation: 20+78=98
Exploring Operation: 78-20=58, Resulting Numbers: [99, 58]
Generated Node #0,0,4: 89:[99, 58] Operation: 78-20=58
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 89:[99, 98], Operations: ['39*2=78', '20+78=98']
Exploring Operation: 99-98=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 99+98=197, Resulting Numbers: [197]
197,89 unequal: No Solution
Exploring Operation: 99*98=9702, Resulting Numbers: [9702]
9702,89 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:[78, 79], Operations: ['39*2=78', '99-20=79']
Exploring Operation: 78*79=6162, Resulting Numbers: [6162]
6162,89 unequal: No Solution
Exploring Operation: 79-78=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 78+79=157, Resulting Numbers: [157]
157,89 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:[78, 119], Operations: ['39*2=78', '20+99=119']
Exploring Operation: 78+119=197, Resulting Numbers: [197]
197,89 unequal: No Solution
Exploring Operation: 78*119=9282, Resulting Numbers: [9282]
9282,89 unequal: No Solution
Exploring Operation: 119-78=41, Resulting Numbers: [41]
41,89 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 #0,0,4
Current State: 89:[99, 58], Operations: ['39*2=78', '78-20=58']
Exploring Operation: 99-58=41, Resulting Numbers: [41]
41,89 unequal: No Solution
Exploring Operation: 99+58=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 99*58=5742, Resulting Numbers: [5742]
5742,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[20, 21], Operations: ['39*2=78', '99-78=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,89 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[39, 99, 40], Operations: ['20*2=40']
Exploring Operation: 39+99=138, Resulting Numbers: [40, 138]
Generated Node #0,3,0: 89:[40, 138] Operation: 39+99=138
Exploring Operation: 40-39=1, Resulting Numbers: [99, 1]
Generated Node #0,3,1: 89:[99, 1] Operation: 40-39=1
Exploring Operation: 39+40=79, Resulting Numbers: [99, 79]
Generated Node #0,3,2: 89:[99, 79] Operation: 39+40=79
Exploring Operation: 99-39=60, Resulting Numbers: [40, 60]
Generated Node #0,3,3: 89:[40, 60] Operation: 99-39=60
Exploring Operation: 99-40=59, Resulting Numbers: [39, 59]
Generated Node #0,3,4: 89:[39, 59] Operation: 99-40=59
Moving to Node #0,3,2
Current State: 89:[99, 79], Operations: ['20*2=40', '39+40=79']
Exploring Operation: 99-79=20, Resulting Numbers: [20]
20,89 unequal: No Solution
Exploring Operation: 99+79=178, Resulting Numbers: [178]
178,89 unequal: No Solution
Exploring Operation: 99*79=7821, Resulting Numbers: [7821]
7821,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[40, 60], Operations: ['20*2=40', '99-39=60']
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,89 unequal: No Solution
Exploring Operation: 40*60=2400, Resulting Numbers: [2400]
2400,89 unequal: No Solution
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,89 unequal: No Solution
Moving to Node #0,3,4
Current State: 89:[39, 59], Operations: ['20*2=40', '99-40=59']
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,89 unequal: No Solution
Exploring Operation: 39*59=2301, Resulting Numbers: [2301]
2301,89 unequal: No Solution
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[40, 138], Operations: ['20*2=40', '39+99=138']
Exploring Operation: 40*138=5520, Resulting Numbers: [5520]
5520,89 unequal: No Solution
Exploring Operation: 138-40=98, Resulting Numbers: [98]
98,89 unequal: No Solution
Exploring Operation: 40+138=178, Resulting Numbers: [178]
178,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[99, 1], Operations: ['20*2=40', '40-39=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,89 unequal: No Solution
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,89 unequal: No Solution
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,89 unequal: No Solution
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[39, 99, 22], Operations: ['20+2=22']
Exploring Operation: 99-22=77, Resulting Numbers: [39, 77]
Generated Node #0,1,0: 89:[39, 77] Operation: 99-22=77
Exploring Operation: 99+22=121, Resulting Numbers: [39, 121]
Generated Node #0,1,1: 89:[39, 121] Operation: 99+22=121
Exploring Operation: 39+22=61, Resulting Numbers: [99, 61]
Generated Node #0,1,2: 89:[99, 61] Operation: 39+22=61
Exploring Operation: 99-39=60, Resulting Numbers: [22, 60]
Generated Node #0,1,3: 89:[22, 60] Operation: 99-39=60
Exploring Operation: 39-22=17, Resulting Numbers: [99, 17]
Generated Node #0,1,4: 89:[99, 17] Operation: 39-22=17
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[99, 61], Operations: ['20+2=22', '39+22=61']
Exploring Operation: 99-61=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Exploring Operation: 99*61=6039, Resulting Numbers: [6039]
6039,89 unequal: No Solution
Exploring Operation: 99+61=160, Resulting Numbers: [160]
160,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[39, 77], Operations: ['20+2=22', '99-22=77']
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Exploring Operation: 39+77=116, Resulting Numbers: [116]
116,89 unequal: No Solution
Exploring Operation: 39*77=3003, Resulting Numbers: [3003]
3003,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[39, 121], Operations: ['20+2=22', '99+22=121']
Exploring Operation: 121-39=82, Resulting Numbers: [82]
82,89 unequal: No Solution
Exploring Operation: 39*121=4719, Resulting Numbers: [4719]
4719,89 unequal: No Solution
Exploring Operation: 39+121=160, Resulting Numbers: [160]
160,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 89:[99, 17], Operations: ['20+2=22', '39-22=17']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,89 unequal: No Solution
Exploring Operation: 99+17=116, Resulting Numbers: [116]
116,89 unequal: No Solution
Exploring Operation: 99*17=1683, Resulting Numbers: [1683]
1683,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 89:[22, 60], Operations: ['20+2=22', '99-39=60']
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,89 unequal: No Solution
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Exploring Operation: 22*60=1320, Resulting Numbers: [1320]
1320,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[99, 2, 59], Operations: ['20+39=59']
Exploring Operation: 2+59=61, Resulting Numbers: [99, 61]
Generated Node #0,2,0: 89:[99, 61] Operation: 2+59=61
Exploring Operation: 99-2=97, Resulting Numbers: [59, 97]
Generated Node #0,2,1: 89:[59, 97] Operation: 99-2=97
Exploring Operation: 2*59=118, Resulting Numbers: [99, 118]
Generated Node #0,2,2: 89:[99, 118] Operation: 2*59=118
Exploring Operation: 99+2=101, Resulting Numbers: [59, 101]
Generated Node #0,2,3: 89:[59, 101] Operation: 99+2=101
Exploring Operation: 59-2=57, Resulting Numbers: [99, 57]
Generated Node #0,2,4: 89:[99, 57] Operation: 59-2=57
Moving to Node #0,2,0
Current State: 89:[99, 61], Operations: ['20+39=59', '2+59=61']
Exploring Operation: 99-61=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Exploring Operation: 99+61=160, Resulting Numbers: [160]
160,89 unequal: No Solution
Exploring Operation: 99*61=6039, Resulting Numbers: [6039]
6039,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[59, 97], Operations: ['20+39=59', '99-2=97']
Exploring Operation: 97-59=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Exploring Operation: 59+97=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Exploring Operation: 59*97=5723, Resulting Numbers: [5723]
5723,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[99, 118], Operations: ['20+39=59', '2*59=118']
Exploring Operation: 99*118=11682, Resulting Numbers: [11682]
11682,89 unequal: No Solution
Exploring Operation: 99+118=217, Resulting Numbers: [217]
217,89 unequal: No Solution
Exploring Operation: 118-99=19, Resulting Numbers: [19]
19,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[59, 101], Operations: ['20+39=59', '99+2=101']
Exploring Operation: 59*101=5959, Resulting Numbers: [5959]
5959,89 unequal: No Solution
Exploring Operation: 59+101=160, Resulting Numbers: [160]
160,89 unequal: No Solution
Exploring Operation: 101-59=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Moving to Node #0,2,4
Current State: 89:[99, 57], Operations: ['20+39=59', '59-2=57']
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Exploring Operation: 99+57=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Exploring Operation: 99*57=5643, Resulting Numbers: [5643]
5643,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 89:[20, 99, 41], Operations: ['39+2=41']
Exploring Operation: 99-41=58, Resulting Numbers: [20, 58]
Generated Node #0,4,0: 89:[20, 58] Operation: 99-41=58
Exploring Operation: 20+99=119, Resulting Numbers: [41, 119]
Generated Node #0,4,1: 89:[41, 119] Operation: 20+99=119
Exploring Operation: 41-20=21, Resulting Numbers: [99, 21]
Generated Node #0,4,2: 89:[99, 21] Operation: 41-20=21
Exploring Operation: 99-20=79, Resulting Numbers: [41, 79]
Generated Node #0,4,3: 89:[41, 79] Operation: 99-20=79
Exploring Operation: 20+41=61, Resulting Numbers: [99, 61]
Generated Node #0,4,4: 89:[99, 61] Operation: 20+41=61
Moving to Node #0,4,4
Current State: 89:[99, 61], Operations: ['39+2=41', '20+41=61']
Exploring Operation: 99*61=6039, Resulting Numbers: [6039]
6039,89 unequal: No Solution
Exploring Operation: 99-61=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Exploring Operation: 99+61=160, Resulting Numbers: [160]
160,89 unequal: No Solution
Moving to Node #0,4,3
Current State: 89:[41, 79], Operations: ['39+2=41', '99-20=79']
Exploring Operation: 41*79=3239, Resulting Numbers: [3239]
3239,89 unequal: No Solution
Exploring Operation: 41+79=120, Resulting Numbers: [120]
120,89 unequal: No Solution
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Moving to Node #0,4,1
Current State: 89:[41, 119], Operations: ['39+2=41', '20+99=119']
Exploring Operation: 41+119=160, Resulting Numbers: [160]
160,89 unequal: No Solution
Exploring Operation: 41*119=4879, Resulting Numbers: [4879]
4879,89 unequal: No Solution
Exploring Operation: 119-41=78, Resulting Numbers: [78]
78,89 unequal: No Solution
Moving to Node #0,4,2
Current State: 89:[99, 21], Operations: ['39+2=41', '41-20=21']
Exploring Operation: 99+21=120, Resulting Numbers: [120]
120,89 unequal: No Solution
Exploring Operation: 99-21=78, Resulting Numbers: [78]
78,89 unequal: No Solution
Exploring Operation: 99*21=2079, Resulting Numbers: [2079]
2079,89 unequal: No Solution
Moving to Node #0,4,0
Current State: 89:[20, 58], Operations: ['39+2=41', '99-41=58']
Exploring Operation: 20+58=78, Resulting Numbers: [78]
78,89 unequal: No Solution
Exploring Operation: 20*58=1160, Resulting Numbers: [1160]
1160,89 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,89 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 |
[
66,
85,
32,
86
] | 99 | [
"85-66=19",
"32+86=118",
"118-19=99"
] | Current State: 99:[66, 85, 32, 86], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [32, 86, 19]
Generated Node #2: [32, 86, 19] from Operation: 85-66=19
Current State: 99:[32, 86, 19], Operations: ['85-66=19']
Exploring Operation: 32+86=118, Resulting Numbers: [19, 118]
Generated Node #3: [19, 118] from Operation: 32+86=118
Current State: 99:[19, 118], Operations: ['85-66=19', '32+86=118']
Exploring Operation: 118-19=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[66, 85, 32, 86], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [32, 86, 19]
Generated Node #0,0: 99:[32, 86, 19] Operation: 85-66=19
Exploring Operation: 66-32=34, Resulting Numbers: [85, 86, 34]
Generated Node #0,1: 99:[85, 86, 34] Operation: 66-32=34
Exploring Operation: 86-66=20, Resulting Numbers: [85, 32, 20]
Generated Node #0,2: 99:[85, 32, 20] Operation: 86-66=20
Exploring Operation: 66+32=98, Resulting Numbers: [85, 86, 98]
Generated Node #0,3: 99:[85, 86, 98] Operation: 66+32=98
Moving to Node #0,0
Current State: 99:[32, 86, 19], Operations: ['85-66=19']
Exploring Operation: 86-32=54, Resulting Numbers: [19, 54]
Generated Node #0,0,0: 99:[19, 54] Operation: 86-32=54
Exploring Operation: 86+19=105, Resulting Numbers: [32, 105]
Generated Node #0,0,1: 99:[32, 105] Operation: 86+19=105
Exploring Operation: 32+86=118, Resulting Numbers: [19, 118]
Generated Node #0,0,2: 99:[19, 118] Operation: 32+86=118
Exploring Operation: 32-19=13, Resulting Numbers: [86, 13]
Generated Node #0,0,3: 99:[86, 13] Operation: 32-19=13
Moving to Node #0,2
Current State: 99:[85, 32, 20], Operations: ['86-66=20']
Exploring Operation: 85-32=53, Resulting Numbers: [20, 53]
Generated Node #0,2,0: 99:[20, 53] Operation: 85-32=53
Exploring Operation: 85+32=117, Resulting Numbers: [20, 117]
Generated Node #0,2,1: 99:[20, 117] Operation: 85+32=117
Exploring Operation: 85+20=105, Resulting Numbers: [32, 105]
Generated Node #0,2,2: 99:[32, 105] Operation: 85+20=105
Exploring Operation: 32-20=12, Resulting Numbers: [85, 12]
Generated Node #0,2,3: 99:[85, 12] Operation: 32-20=12
Moving to Node #0,3
Current State: 99:[85, 86, 98], Operations: ['66+32=98']
Exploring Operation: 85+86=171, Resulting Numbers: [98, 171]
Generated Node #0,3,0: 99:[98, 171] Operation: 85+86=171
Exploring Operation: 86-85=1, Resulting Numbers: [98, 1]
Generated Node #0,3,1: 99:[98, 1] Operation: 86-85=1
Exploring Operation: 98-85=13, Resulting Numbers: [86, 13]
Generated Node #0,3,2: 99:[86, 13] Operation: 98-85=13
Exploring Operation: 98-86=12, Resulting Numbers: [85, 12]
Generated Node #0,3,3: 99:[85, 12] Operation: 98-86=12
Moving to Node #0,1
Current State: 99:[85, 86, 34], Operations: ['66-32=34']
Exploring Operation: 85-34=51, Resulting Numbers: [86, 51]
Generated Node #0,1,0: 99:[86, 51] Operation: 85-34=51
Exploring Operation: 86-34=52, Resulting Numbers: [85, 52]
Generated Node #0,1,1: 99:[85, 52] Operation: 86-34=52
Exploring Operation: 85+34=119, Resulting Numbers: [86, 119]
Generated Node #0,1,2: 99:[86, 119] Operation: 85+34=119
Exploring Operation: 86-85=1, Resulting Numbers: [34, 1]
Generated Node #0,1,3: 99:[34, 1] Operation: 86-85=1
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 99:[34, 1], Operations: ['66-32=34', '86-85=1']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[86, 51], Operations: ['66-32=34', '85-34=51']
Exploring Operation: 86-51=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 86+51=137, Resulting Numbers: [137]
137,99 unequal: No Solution
Exploring Operation: 86*51=4386, Resulting Numbers: [4386]
4386,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[85, 52], Operations: ['66-32=34', '86-34=52']
Exploring Operation: 85+52=137, Resulting Numbers: [137]
137,99 unequal: No Solution
Exploring Operation: 85-52=33, Resulting Numbers: [33]
33,99 unequal: No Solution
Exploring Operation: 85*52=4420, Resulting Numbers: [4420]
4420,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[86, 119], Operations: ['66-32=34', '85+34=119']
Exploring Operation: 86+119=205, Resulting Numbers: [205]
205,99 unequal: No Solution
Exploring Operation: 86*119=10234, Resulting Numbers: [10234]
10234,99 unequal: No Solution
Exploring Operation: 119-86=33, Resulting Numbers: [33]
33,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 99:[98, 1], Operations: ['66+32=98', '86-85=1']
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[66, 85, 32, 86], Operations: []
Exploring Operation: 66+32=98, Resulting Numbers: [85, 86, 98]
Generated Node #0,3: 99:[85, 86, 98] Operation: 66+32=98
Moving to Node #0,3
Current State: 99:[85, 86, 98], Operations: ['66+32=98']
Exploring Operation: 86-85=1, Resulting Numbers: [98, 1]
Generated Node #0,3,1: 99:[98, 1] Operation: 86-85=1
Moving to Node #0,3,1
Current State: 99:[98, 1], Operations: ['66+32=98', '86-85=1']
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.967014 | hs_4 | mult_heuristic |
[
97,
3,
9,
30
] | 100 | [
"97+30=127",
"3*9=27",
"127-27=100"
] | Current State: 100:[97, 3, 9, 30], Operations: []
Exploring Operation: 97+30=127, Resulting Numbers: [3, 9, 127]
Generated Node #2: [3, 9, 127] from Operation: 97+30=127
Current State: 100:[3, 9, 127], Operations: ['97+30=127']
Exploring Operation: 3*9=27, Resulting Numbers: [127, 27]
Generated Node #3: [127, 27] from Operation: 3*9=27
Current State: 100:[127, 27], Operations: ['97+30=127', '3*9=27']
Exploring Operation: 127-27=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[97, 3, 9, 30], Operations: []
Exploring Operation: 30-9=21, Resulting Numbers: [97, 3, 21]
Generated Node #0,0: 100:[97, 3, 21] Operation: 30-9=21
Exploring Operation: 30-3=27, Resulting Numbers: [97, 9, 27]
Generated Node #0,1: 100:[97, 9, 27] Operation: 30-3=27
Exploring Operation: 30/3=10, Resulting Numbers: [97, 9, 10]
Generated Node #0,2: 100:[97, 9, 10] Operation: 30/3=10
Exploring Operation: 97+3=100, Resulting Numbers: [9, 30, 100]
Generated Node #0,3: 100:[9, 30, 100] Operation: 97+3=100
Exploring Operation: 9-3=6, Resulting Numbers: [97, 30, 6]
Generated Node #0,4: 100:[97, 30, 6] Operation: 9-3=6
Moving to Node #0,2
Current State: 100:[97, 9, 10], Operations: ['30/3=10']
Exploring Operation: 97+9=106, Resulting Numbers: [10, 106]
Generated Node #0,2,0: 100:[10, 106] Operation: 97+9=106
Exploring Operation: 9+10=19, Resulting Numbers: [97, 19]
Generated Node #0,2,1: 100:[97, 19] Operation: 9+10=19
Exploring Operation: 97-9=88, Resulting Numbers: [10, 88]
Generated Node #0,2,2: 100:[10, 88] Operation: 97-9=88
Exploring Operation: 10-9=1, Resulting Numbers: [97, 1]
Generated Node #0,2,3: 100:[97, 1] Operation: 10-9=1
Exploring Operation: 97+10=107, Resulting Numbers: [9, 107]
Generated Node #0,2,4: 100:[9, 107] Operation: 97+10=107
Moving to Node #0,0
Current State: 100:[97, 3, 21], Operations: ['30-9=21']
Exploring Operation: 21/3=7, Resulting Numbers: [97, 7]
Generated Node #0,0,0: 100:[97, 7] Operation: 21/3=7
Exploring Operation: 97-3=94, Resulting Numbers: [21, 94]
Generated Node #0,0,1: 100:[21, 94] Operation: 97-3=94
Exploring Operation: 21-3=18, Resulting Numbers: [97, 18]
Generated Node #0,0,2: 100:[97, 18] Operation: 21-3=18
Exploring Operation: 3+21=24, Resulting Numbers: [97, 24]
Generated Node #0,0,3: 100:[97, 24] Operation: 3+21=24
Exploring Operation: 97+3=100, Resulting Numbers: [21, 100]
Generated Node #0,0,4: 100:[21, 100] Operation: 97+3=100
Moving to Node #0,1
Current State: 100:[97, 9, 27], Operations: ['30-3=27']
Exploring Operation: 27/9=3, Resulting Numbers: [97, 3]
Generated Node #0,1,0: 100:[97, 3] Operation: 27/9=3
Exploring Operation: 27-9=18, Resulting Numbers: [97, 18]
Generated Node #0,1,1: 100:[97, 18] Operation: 27-9=18
Exploring Operation: 9+27=36, Resulting Numbers: [97, 36]
Generated Node #0,1,2: 100:[97, 36] Operation: 9+27=36
Exploring Operation: 97+9=106, Resulting Numbers: [27, 106]
Generated Node #0,1,3: 100:[27, 106] Operation: 97+9=106
Exploring Operation: 97-9=88, Resulting Numbers: [27, 88]
Generated Node #0,1,4: 100:[27, 88] Operation: 97-9=88
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[97, 3], Operations: ['30-3=27', '27/9=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,100 unequal: No Solution
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:[97, 3, 9, 30], Operations: []
Exploring Operation: 30-3=27, Resulting Numbers: [97, 9, 27]
Generated Node #0,1: 100:[97, 9, 27] Operation: 30-3=27
Moving to Node #0,1
Current State: 100:[97, 9, 27], Operations: ['30-3=27']
Exploring Operation: 27/9=3, Resulting Numbers: [97, 3]
Generated Node #0,1,0: 100:[97, 3] Operation: 27/9=3
Moving to Node #0,1,0
Current State: 100:[97, 3], Operations: ['30-3=27', '27/9=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
5,
99,
38,
33
] | 28 | [
"5*33=165",
"99+38=137",
"165-137=28"
] | Current State: 28:[5, 99, 38, 33], Operations: []
Exploring Operation: 5*33=165, Resulting Numbers: [99, 38, 165]
Generated Node #2: [99, 38, 165] from Operation: 5*33=165
Current State: 28:[99, 38, 165], Operations: ['5*33=165']
Exploring Operation: 99+38=137, Resulting Numbers: [165, 137]
Generated Node #3: [165, 137] from Operation: 99+38=137
Current State: 28:[165, 137], Operations: ['5*33=165', '99+38=137']
Exploring Operation: 165-137=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[5, 99, 38, 33], Operations: []
Exploring Operation: 99-38=61, Resulting Numbers: [5, 33, 61]
Generated Node #0,0: 28:[5, 33, 61] Operation: 99-38=61
Exploring Operation: 99-33=66, Resulting Numbers: [5, 38, 66]
Generated Node #0,1: 28:[5, 38, 66] Operation: 99-33=66
Exploring Operation: 99/33=3, Resulting Numbers: [5, 38, 3]
Generated Node #0,2: 28:[5, 38, 3] Operation: 99/33=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[5, 38, 3], Operations: ['99/33=3']
Exploring Operation: 38-3=35, Resulting Numbers: [5, 35]
Generated Node #0,2,0: 28:[5, 35] Operation: 38-3=35
Exploring Operation: 5-3=2, Resulting Numbers: [38, 2]
Generated Node #0,2,1: 28:[38, 2] Operation: 5-3=2
Exploring Operation: 38-5=33, Resulting Numbers: [3, 33]
Generated Node #0,2,2: 28:[3, 33] Operation: 38-5=33
Moving to Node #0,2,2
Current State: 28:[3, 33], Operations: ['99/33=3', '38-5=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,28 unequal: No Solution
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[5, 35], Operations: ['99/33=3', '38-3=35']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[38, 2], Operations: ['99/33=3', '5-3=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[5, 33, 61], Operations: ['99-38=61']
Exploring Operation: 33-5=28, Resulting Numbers: [61, 28]
Generated Node #0,0,0: 28:[61, 28] Operation: 33-5=28
Exploring Operation: 61-5=56, Resulting Numbers: [33, 56]
Generated Node #0,0,1: 28:[33, 56] Operation: 61-5=56
Exploring Operation: 61-33=28, Resulting Numbers: [5, 28]
Generated Node #0,0,2: 28:[5, 28] Operation: 61-33=28
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 28:[5, 28], Operations: ['99-38=61', '61-33=28']
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,28 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,28 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,28 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 #0,0,0
Current State: 28:[61, 28], Operations: ['99-38=61', '33-5=28']
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,28 unequal: No Solution
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,28 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,28 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 #0,0,1
Current State: 28:[33, 56], Operations: ['99-38=61', '61-5=56']
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,28 unequal: No Solution
Exploring Operation: 33*56=1848, Resulting Numbers: [1848]
1848,28 unequal: No Solution
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,28 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 #0,1
Current State: 28:[5, 38, 66], Operations: ['99-33=66']
Exploring Operation: 66-5=61, Resulting Numbers: [38, 61]
Generated Node #0,1,0: 28:[38, 61] Operation: 66-5=61
Exploring Operation: 38-5=33, Resulting Numbers: [66, 33]
Generated Node #0,1,1: 28:[66, 33] Operation: 38-5=33
Exploring Operation: 66-38=28, Resulting Numbers: [5, 28]
Generated Node #0,1,2: 28:[5, 28] Operation: 66-38=28
Moving to Node #0,1,2
Current State: 28:[5, 28], Operations: ['99-33=66', '66-38=28']
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,28 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,28 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[38, 61], Operations: ['99-33=66', '66-5=61']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,28 unequal: No Solution
Exploring Operation: 38+61=99, Resulting Numbers: [99]
99,28 unequal: No Solution
Exploring Operation: 38*61=2318, Resulting Numbers: [2318]
2318,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[66, 33], Operations: ['99-33=66', '38-5=33']
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,28 unequal: No Solution
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 66/33=2, Resulting Numbers: [2]
2,28 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 |
[
6,
70,
13,
22
] | 32 | [
"13-6=7",
"70/7=10",
"22+10=32"
] | Current State: 32:[6, 70, 13, 22], Operations: []
Exploring Operation: 13-6=7, Resulting Numbers: [70, 22, 7]
Generated Node #2: [70, 22, 7] from Operation: 13-6=7
Current State: 32:[70, 22, 7], Operations: ['13-6=7']
Exploring Operation: 70/7=10, Resulting Numbers: [22, 10]
Generated Node #3: [22, 10] from Operation: 70/7=10
Current State: 32:[22, 10], Operations: ['13-6=7', '70/7=10']
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[6, 70, 13, 22], Operations: []
Exploring Operation: 70-13=57, Resulting Numbers: [6, 22, 57]
Generated Node #0,0: 32:[6, 22, 57] Operation: 70-13=57
Exploring Operation: 70-22=48, Resulting Numbers: [6, 13, 48]
Generated Node #0,1: 32:[6, 13, 48] Operation: 70-22=48
Moving to Node #0,1
Current State: 32:[6, 13, 48], Operations: ['70-22=48']
Exploring Operation: 48-13=35, Resulting Numbers: [6, 35]
Generated Node #0,1,0: 32:[6, 35] Operation: 48-13=35
Exploring Operation: 48/6=8, Resulting Numbers: [13, 8]
Generated Node #0,1,1: 32:[13, 8] Operation: 48/6=8
Moving to Node #0,0
Current State: 32:[6, 22, 57], Operations: ['70-13=57']
Exploring Operation: 22-6=16, Resulting Numbers: [57, 16]
Generated Node #0,0,0: 32:[57, 16] Operation: 22-6=16
Exploring Operation: 57-22=35, Resulting Numbers: [6, 35]
Generated Node #0,0,1: 32:[6, 35] Operation: 57-22=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[6, 35], Operations: ['70-13=57', '57-22=35']
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[57, 16], Operations: ['70-13=57', '22-6=16']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 57+16=73, Resulting Numbers: [73]
73,32 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: 32:[13, 8], Operations: ['70-22=48', '48/6=8']
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[6, 35], Operations: ['70-22=48', '48-13=35']
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,32 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
55,
66,
26,
23
] | 59 | [
"66+26=92",
"92/23=4",
"55+4=59"
] | Current State: 59:[55, 66, 26, 23], Operations: []
Exploring Operation: 66+26=92, Resulting Numbers: [55, 23, 92]
Generated Node #2: [55, 23, 92] from Operation: 66+26=92
Current State: 59:[55, 23, 92], Operations: ['66+26=92']
Exploring Operation: 92/23=4, Resulting Numbers: [55, 4]
Generated Node #3: [55, 4] from Operation: 92/23=4
Current State: 59:[55, 4], Operations: ['66+26=92', '92/23=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[55, 66, 26, 23], Operations: []
Exploring Operation: 66-23=43, Resulting Numbers: [55, 26, 43]
Generated Node #0,0: 59:[55, 26, 43] Operation: 66-23=43
Exploring Operation: 66-26=40, Resulting Numbers: [55, 23, 40]
Generated Node #0,1: 59:[55, 23, 40] Operation: 66-26=40
Exploring Operation: 55+26=81, Resulting Numbers: [66, 23, 81]
Generated Node #0,2: 59:[66, 23, 81] Operation: 55+26=81
Exploring Operation: 26+23=49, Resulting Numbers: [55, 66, 49]
Generated Node #0,3: 59:[55, 66, 49] Operation: 26+23=49
Exploring Operation: 55+23=78, Resulting Numbers: [66, 26, 78]
Generated Node #0,4: 59:[66, 26, 78] Operation: 55+23=78
Moving to Node #0,3
Current State: 59:[55, 66, 49], Operations: ['26+23=49']
Exploring Operation: 66+49=115, Resulting Numbers: [55, 115]
Generated Node #0,3,0: 59:[55, 115] Operation: 66+49=115
Exploring Operation: 66-49=17, Resulting Numbers: [55, 17]
Generated Node #0,3,1: 59:[55, 17] Operation: 66-49=17
Exploring Operation: 66-55=11, Resulting Numbers: [49, 11]
Generated Node #0,3,2: 59:[49, 11] Operation: 66-55=11
Exploring Operation: 55+49=104, Resulting Numbers: [66, 104]
Generated Node #0,3,3: 59:[66, 104] Operation: 55+49=104
Exploring Operation: 55-49=6, Resulting Numbers: [66, 6]
Generated Node #0,3,4: 59:[66, 6] Operation: 55-49=6
Moving to Node #0,0
Current State: 59:[55, 26, 43], Operations: ['66-23=43']
Exploring Operation: 55+43=98, Resulting Numbers: [26, 98]
Generated Node #0,0,0: 59:[26, 98] Operation: 55+43=98
Exploring Operation: 26+43=69, Resulting Numbers: [55, 69]
Generated Node #0,0,1: 59:[55, 69] Operation: 26+43=69
Exploring Operation: 55-26=29, Resulting Numbers: [43, 29]
Generated Node #0,0,2: 59:[43, 29] Operation: 55-26=29
Exploring Operation: 43-26=17, Resulting Numbers: [55, 17]
Generated Node #0,0,3: 59:[55, 17] Operation: 43-26=17
Exploring Operation: 55+26=81, Resulting Numbers: [43, 81]
Generated Node #0,0,4: 59:[43, 81] Operation: 55+26=81
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[55, 69], Operations: ['66-23=43', '26+43=69']
Exploring Operation: 55*69=3795, Resulting Numbers: [3795]
3795,59 unequal: No Solution
Exploring Operation: 55+69=124, Resulting Numbers: [124]
124,59 unequal: No Solution
Exploring Operation: 69-55=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 59:[43, 81], Operations: ['66-23=43', '55+26=81']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 43*81=3483, Resulting Numbers: [3483]
3483,59 unequal: No Solution
Exploring Operation: 43+81=124, Resulting Numbers: [124]
124,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[43, 29], Operations: ['66-23=43', '55-26=29']
Exploring Operation: 43*29=1247, Resulting Numbers: [1247]
1247,59 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 43+29=72, Resulting Numbers: [72]
72,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[55, 17], Operations: ['66-23=43', '43-26=17']
Exploring Operation: 55+17=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 55*17=935, Resulting Numbers: [935]
935,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[26, 98], Operations: ['66-23=43', '55+43=98']
Exploring Operation: 26+98=124, Resulting Numbers: [124]
124,59 unequal: No Solution
Exploring Operation: 98-26=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 26*98=2548, Resulting Numbers: [2548]
2548,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 59:[55, 23, 40], Operations: ['66-26=40']
Exploring Operation: 55+40=95, Resulting Numbers: [23, 95]
Generated Node #0,1,0: 59:[23, 95] Operation: 55+40=95
Exploring Operation: 23+40=63, Resulting Numbers: [55, 63]
Generated Node #0,1,1: 59:[55, 63] Operation: 23+40=63
Exploring Operation: 55-23=32, Resulting Numbers: [40, 32]
Generated Node #0,1,2: 59:[40, 32] Operation: 55-23=32
Exploring Operation: 55+23=78, Resulting Numbers: [40, 78]
Generated Node #0,1,3: 59:[40, 78] Operation: 55+23=78
Exploring Operation: 40-23=17, Resulting Numbers: [55, 17]
Generated Node #0,1,4: 59:[55, 17] Operation: 40-23=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[55, 63], Operations: ['66-26=40', '23+40=63']
Exploring Operation: 55+63=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Exploring Operation: 55*63=3465, Resulting Numbers: [3465]
3465,59 unequal: No Solution
Exploring Operation: 63-55=8, Resulting Numbers: [8]
8,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 59:[40, 78], Operations: ['66-26=40', '55+23=78']
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[40, 32], Operations: ['66-26=40', '55-23=32']
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 40*32=1280, Resulting Numbers: [1280]
1280,59 unequal: No Solution
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 59:[55, 17], Operations: ['66-26=40', '40-23=17']
Exploring Operation: 55+17=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 55*17=935, Resulting Numbers: [935]
935,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[23, 95], Operations: ['66-26=40', '55+40=95']
Exploring Operation: 23+95=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Exploring Operation: 23*95=2185, Resulting Numbers: [2185]
2185,59 unequal: No Solution
Exploring Operation: 95-23=72, Resulting Numbers: [72]
72,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 59:[66, 26, 78], Operations: ['55+23=78']
Exploring Operation: 78/26=3, Resulting Numbers: [66, 3]
Generated Node #0,4,0: 59:[66, 3] Operation: 78/26=3
Exploring Operation: 26+78=104, Resulting Numbers: [66, 104]
Generated Node #0,4,1: 59:[66, 104] Operation: 26+78=104
Exploring Operation: 66+26=92, Resulting Numbers: [78, 92]
Generated Node #0,4,2: 59:[78, 92] Operation: 66+26=92
Exploring Operation: 78-26=52, Resulting Numbers: [66, 52]
Generated Node #0,4,3: 59:[66, 52] Operation: 78-26=52
Exploring Operation: 66-26=40, Resulting Numbers: [78, 40]
Generated Node #0,4,4: 59:[78, 40] Operation: 66-26=40
Moving to Node #0,2
Current State: 59:[66, 23, 81], Operations: ['55+26=81']
Exploring Operation: 66+23=89, Resulting Numbers: [81, 89]
Generated Node #0,2,0: 59:[81, 89] Operation: 66+23=89
Exploring Operation: 81-23=58, Resulting Numbers: [66, 58]
Generated Node #0,2,1: 59:[66, 58] Operation: 81-23=58
Exploring Operation: 81-66=15, Resulting Numbers: [23, 15]
Generated Node #0,2,2: 59:[23, 15] Operation: 81-66=15
Exploring Operation: 23+81=104, Resulting Numbers: [66, 104]
Generated Node #0,2,3: 59:[66, 104] Operation: 23+81=104
Exploring Operation: 66-23=43, Resulting Numbers: [81, 43]
Generated Node #0,2,4: 59:[81, 43] Operation: 66-23=43
Moving to Node #0,2,1
Current State: 59:[66, 58], Operations: ['55+26=81', '81-23=58']
Exploring Operation: 66+58=124, Resulting Numbers: [124]
124,59 unequal: No Solution
Exploring Operation: 66-58=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 66*58=3828, Resulting Numbers: [3828]
3828,59 unequal: No Solution
Moving to Node #0,4,3
Current State: 59:[66, 52], Operations: ['55+23=78', '78-26=52']
Exploring Operation: 66*52=3432, Resulting Numbers: [3432]
3432,59 unequal: No Solution
Exploring Operation: 66+52=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Moving to Node #0,4,4
Current State: 59:[78, 40], Operations: ['55+23=78', '66-26=40']
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 78*40=3120, Resulting Numbers: [3120]
3120,59 unequal: No Solution
Exploring Operation: 78+40=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Moving to Node #0,2,4
Current State: 59:[81, 43], Operations: ['55+26=81', '66-23=43']
Exploring Operation: 81*43=3483, Resulting Numbers: [3483]
3483,59 unequal: No Solution
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 81+43=124, Resulting Numbers: [124]
124,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[55, 17], Operations: ['26+23=49', '66-49=17']
Exploring Operation: 55*17=935, Resulting Numbers: [935]
935,59 unequal: No Solution
Exploring Operation: 55+17=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[66, 104], Operations: ['55+26=81', '23+81=104']
Exploring Operation: 104-66=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 66+104=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 66*104=6864, Resulting Numbers: [6864]
6864,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[81, 89], Operations: ['55+26=81', '66+23=89']
Exploring Operation: 89-81=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 81+89=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 81*89=7209, Resulting Numbers: [7209]
7209,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[66, 104], Operations: ['26+23=49', '55+49=104']
Exploring Operation: 66+104=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 104-66=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 66*104=6864, Resulting Numbers: [6864]
6864,59 unequal: No Solution
Moving to Node #0,4,1
Current State: 59:[66, 104], Operations: ['55+23=78', '26+78=104']
Exploring Operation: 66*104=6864, Resulting Numbers: [6864]
6864,59 unequal: No Solution
Exploring Operation: 66+104=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 104-66=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Moving to Node #0,4,2
Current State: 59:[78, 92], Operations: ['55+23=78', '66+26=92']
Exploring Operation: 78*92=7176, Resulting Numbers: [7176]
7176,59 unequal: No Solution
Exploring Operation: 78+92=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 92-78=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[49, 11], Operations: ['26+23=49', '66-55=11']
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,59 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Moving to Node #0,3,4
Current State: 59:[66, 6], Operations: ['26+23=49', '55-49=6']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 66*6=396, Resulting Numbers: [396]
396,59 unequal: No Solution
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[55, 115], Operations: ['26+23=49', '66+49=115']
Exploring Operation: 115-55=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 55+115=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 55*115=6325, Resulting Numbers: [6325]
6325,59 unequal: No Solution
Moving to Node #0,4,0
Current State: 59:[66, 3], Operations: ['55+23=78', '78/26=3']
Exploring Operation: 66*3=198, Resulting Numbers: [198]
198,59 unequal: No Solution
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[23, 15], Operations: ['55+26=81', '81-66=15']
Exploring Operation: 23*15=345, Resulting Numbers: [345]
345,59 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,59 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
98,
74,
30,
54
] | 60 | [
"98-74=24",
"30+54=84",
"84-24=60"
] | Current State: 60:[98, 74, 30, 54], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [30, 54, 24]
Generated Node #2: [30, 54, 24] from Operation: 98-74=24
Current State: 60:[30, 54, 24], Operations: ['98-74=24']
Exploring Operation: 30+54=84, Resulting Numbers: [24, 84]
Generated Node #3: [24, 84] from Operation: 30+54=84
Current State: 60:[24, 84], Operations: ['98-74=24', '30+54=84']
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[98, 74, 30, 54], Operations: []
Exploring Operation: 98-30=68, Resulting Numbers: [74, 54, 68]
Generated Node #0,0: 60:[74, 54, 68] Operation: 98-30=68
Exploring Operation: 98-74=24, Resulting Numbers: [30, 54, 24]
Generated Node #0,1: 60:[30, 54, 24] Operation: 98-74=24
Exploring Operation: 98-54=44, Resulting Numbers: [74, 30, 44]
Generated Node #0,2: 60:[74, 30, 44] Operation: 98-54=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[30, 54, 24], Operations: ['98-74=24']
Exploring Operation: 30-24=6, Resulting Numbers: [54, 6]
Generated Node #0,1,0: 60:[54, 6] Operation: 30-24=6
Exploring Operation: 54-30=24, Resulting Numbers: [24, 24]
Generated Node #0,1,1: 60:[24, 24] Operation: 54-30=24
Exploring Operation: 54-24=30, Resulting Numbers: [30, 30]
Generated Node #0,1,2: 60:[30, 30] Operation: 54-24=30
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[30, 30], Operations: ['98-74=24', '54-24=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[98, 74, 30, 54], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [30, 54, 24]
Generated Node #0,1: 60:[30, 54, 24] Operation: 98-74=24
Moving to Node #0,1
Current State: 60:[30, 54, 24], Operations: ['98-74=24']
Exploring Operation: 54-24=30, Resulting Numbers: [30, 30]
Generated Node #0,1,2: 60:[30, 30] Operation: 54-24=30
Moving to Node #0,1,2
Current State: 60:[30, 30], Operations: ['98-74=24', '54-24=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
84,
30,
5,
62
] | 76 | [
"84*5=420",
"420/30=14",
"62+14=76"
] | Current State: 76:[84, 30, 5, 62], Operations: []
Exploring Operation: 84*5=420, Resulting Numbers: [30, 62, 420]
Generated Node #2: [30, 62, 420] from Operation: 84*5=420
Current State: 76:[30, 62, 420], Operations: ['84*5=420']
Exploring Operation: 420/30=14, Resulting Numbers: [62, 14]
Generated Node #3: [62, 14] from Operation: 420/30=14
Current State: 76:[62, 14], Operations: ['84*5=420', '420/30=14']
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[84, 30, 5, 62], Operations: []
Exploring Operation: 84-62=22, Resulting Numbers: [30, 5, 22]
Generated Node #0,0: 76:[30, 5, 22] Operation: 84-62=22
Moving to Node #0,0
Current State: 76:[30, 5, 22], Operations: ['84-62=22']
Exploring Operation: 30/5=6, Resulting Numbers: [22, 6]
Generated Node #0,0,0: 76:[22, 6] Operation: 30/5=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[22, 6], Operations: ['84-62=22', '30/5=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,76 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 |
[
90,
5,
67,
9
] | 62 | [
"90/9=10",
"5+67=72",
"72-10=62"
] | Current State: 62:[90, 5, 67, 9], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [5, 67, 10]
Generated Node #2: [5, 67, 10] from Operation: 90/9=10
Current State: 62:[5, 67, 10], Operations: ['90/9=10']
Exploring Operation: 5+67=72, Resulting Numbers: [10, 72]
Generated Node #3: [10, 72] from Operation: 5+67=72
Current State: 62:[10, 72], Operations: ['90/9=10', '5+67=72']
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[90, 5, 67, 9], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [5, 9, 23]
Generated Node #0,0: 62:[5, 9, 23] Operation: 90-67=23
Exploring Operation: 90-5=85, Resulting Numbers: [67, 9, 85]
Generated Node #0,1: 62:[67, 9, 85] Operation: 90-5=85
Exploring Operation: 90/5=18, Resulting Numbers: [67, 9, 18]
Generated Node #0,2: 62:[67, 9, 18] Operation: 90/5=18
Exploring Operation: 90/9=10, Resulting Numbers: [5, 67, 10]
Generated Node #0,3: 62:[5, 67, 10] Operation: 90/9=10
Exploring Operation: 90-9=81, Resulting Numbers: [5, 67, 81]
Generated Node #0,4: 62:[5, 67, 81] Operation: 90-9=81
Moving to Node #0,3
Current State: 62:[5, 67, 10], Operations: ['90/9=10']
Exploring Operation: 10-5=5, Resulting Numbers: [67, 5]
Generated Node #0,3,0: 62:[67, 5] Operation: 10-5=5
Exploring Operation: 67-5=62, Resulting Numbers: [10, 62]
Generated Node #0,3,1: 62:[10, 62] Operation: 67-5=62
Exploring Operation: 67-10=57, Resulting Numbers: [5, 57]
Generated Node #0,3,2: 62:[5, 57] Operation: 67-10=57
Exploring Operation: 10/5=2, Resulting Numbers: [67, 2]
Generated Node #0,3,3: 62:[67, 2] Operation: 10/5=2
Exploring Operation: 5*10=50, Resulting Numbers: [67, 50]
Generated Node #0,3,4: 62:[67, 50] Operation: 5*10=50
Moving to Node #0,0
Current State: 62:[5, 9, 23], Operations: ['90-67=23']
Exploring Operation: 9+23=32, Resulting Numbers: [5, 32]
Generated Node #0,0,0: 62:[5, 32] Operation: 9+23=32
Exploring Operation: 5+23=28, Resulting Numbers: [9, 28]
Generated Node #0,0,1: 62:[9, 28] Operation: 5+23=28
Exploring Operation: 9-5=4, Resulting Numbers: [23, 4]
Generated Node #0,0,2: 62:[23, 4] Operation: 9-5=4
Exploring Operation: 23-9=14, Resulting Numbers: [5, 14]
Generated Node #0,0,3: 62:[5, 14] Operation: 23-9=14
Exploring Operation: 5+9=14, Resulting Numbers: [23, 14]
Generated Node #0,0,4: 62:[23, 14] Operation: 5+9=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[5, 32], Operations: ['90-67=23', '9+23=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,62 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[9, 28], Operations: ['90-67=23', '5+23=28']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 9*28=252, Resulting Numbers: [252]
252,62 unequal: No Solution
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[23, 4], Operations: ['90-67=23', '9-5=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 62:[5, 14], Operations: ['90-67=23', '23-9=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,62 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 62:[23, 14], Operations: ['90-67=23', '5+9=14']
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,62 unequal: No Solution
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,62 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: 62:[67, 9, 18], Operations: ['90/5=18']
Exploring Operation: 18-9=9, Resulting Numbers: [67, 9]
Generated Node #0,2,0: 62:[67, 9] Operation: 18-9=9
Exploring Operation: 18/9=2, Resulting Numbers: [67, 2]
Generated Node #0,2,1: 62:[67, 2] Operation: 18/9=2
Exploring Operation: 9+18=27, Resulting Numbers: [67, 27]
Generated Node #0,2,2: 62:[67, 27] Operation: 9+18=27
Exploring Operation: 67-18=49, Resulting Numbers: [9, 49]
Generated Node #0,2,3: 62:[9, 49] Operation: 67-18=49
Exploring Operation: 67-9=58, Resulting Numbers: [18, 58]
Generated Node #0,2,4: 62:[18, 58] Operation: 67-9=58
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[67, 2], Operations: ['90/5=18', '18/9=2']
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,62 unequal: No Solution
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,62 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[67, 27], Operations: ['90/5=18', '9+18=27']
Exploring Operation: 67*27=1809, Resulting Numbers: [1809]
1809,62 unequal: No Solution
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[67, 9], Operations: ['90/5=18', '18-9=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,62 unequal: No Solution
Exploring Operation: 67+9=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 67*9=603, Resulting Numbers: [603]
603,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 62:[18, 58], Operations: ['90/5=18', '67-9=58']
Exploring Operation: 18*58=1044, Resulting Numbers: [1044]
1044,62 unequal: No Solution
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 18+58=76, Resulting Numbers: [76]
76,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 62:[9, 49], Operations: ['90/5=18', '67-18=49']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,62 unequal: No Solution
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 62:[5, 67, 81], Operations: ['90-9=81']
Exploring Operation: 81-67=14, Resulting Numbers: [5, 14]
Generated Node #0,4,0: 62:[5, 14] Operation: 81-67=14
Exploring Operation: 5+67=72, Resulting Numbers: [81, 72]
Generated Node #0,4,1: 62:[81, 72] Operation: 5+67=72
Exploring Operation: 81-5=76, Resulting Numbers: [67, 76]
Generated Node #0,4,2: 62:[67, 76] Operation: 81-5=76
Exploring Operation: 67-5=62, Resulting Numbers: [81, 62]
Generated Node #0,4,3: 62:[81, 62] Operation: 67-5=62
Exploring Operation: 5+81=86, Resulting Numbers: [67, 86]
Generated Node #0,4,4: 62:[67, 86] Operation: 5+81=86
Moving to Node #0,1
Current State: 62:[67, 9, 85], Operations: ['90-5=85']
Exploring Operation: 67+9=76, Resulting Numbers: [85, 76]
Generated Node #0,1,0: 62:[85, 76] Operation: 67+9=76
Exploring Operation: 9+85=94, Resulting Numbers: [67, 94]
Generated Node #0,1,1: 62:[67, 94] Operation: 9+85=94
Exploring Operation: 85-67=18, Resulting Numbers: [9, 18]
Generated Node #0,1,2: 62:[9, 18] Operation: 85-67=18
Exploring Operation: 85-9=76, Resulting Numbers: [67, 76]
Generated Node #0,1,3: 62:[67, 76] Operation: 85-9=76
Exploring Operation: 67-9=58, Resulting Numbers: [85, 58]
Generated Node #0,1,4: 62:[85, 58] Operation: 67-9=58
Moving to Node #0,3,3
Current State: 62:[67, 2], Operations: ['90/9=10', '10/5=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,62 unequal: No Solution
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,62 unequal: No Solution
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,62 unequal: No Solution
Moving to Node #0,3,1
Current State: 62:[10, 62], Operations: ['90/9=10', '67-5=62']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,62 unequal: No Solution
Exploring Operation: 10*62=620, Resulting Numbers: [620]
620,62 unequal: No Solution
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,62 unequal: No Solution
Moving to Node #0,3,0
Current State: 62:[67, 5], Operations: ['90/9=10', '10-5=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,62 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[90, 5, 67, 9], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [5, 67, 10]
Generated Node #0,3: 62:[5, 67, 10] Operation: 90/9=10
Moving to Node #0,3
Current State: 62:[5, 67, 10], Operations: ['90/9=10']
Exploring Operation: 10-5=5, Resulting Numbers: [67, 5]
Generated Node #0,3,0: 62:[67, 5] Operation: 10-5=5
Moving to Node #0,3,0
Current State: 62:[67, 5], Operations: ['90/9=10', '10-5=5']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.9375 | hs_5 | mult_heuristic |
[
42,
57,
66,
50
] | 83 | [
"42+57=99",
"66-50=16",
"99-16=83"
] | Current State: 83:[42, 57, 66, 50], Operations: []
Exploring Operation: 42+57=99, Resulting Numbers: [66, 50, 99]
Generated Node #2: [66, 50, 99] from Operation: 42+57=99
Current State: 83:[66, 50, 99], Operations: ['42+57=99']
Exploring Operation: 66-50=16, Resulting Numbers: [99, 16]
Generated Node #3: [99, 16] from Operation: 66-50=16
Current State: 83:[99, 16], Operations: ['42+57=99', '66-50=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[42, 57, 66, 50], Operations: []
Exploring Operation: 42+66=108, Resulting Numbers: [57, 50, 108]
Generated Node #0,0: 83:[57, 50, 108] Operation: 42+66=108
Exploring Operation: 42+57=99, Resulting Numbers: [66, 50, 99]
Generated Node #0,1: 83:[66, 50, 99] Operation: 42+57=99
Exploring Operation: 57+50=107, Resulting Numbers: [42, 66, 107]
Generated Node #0,2: 83:[42, 66, 107] Operation: 57+50=107
Exploring Operation: 42+50=92, Resulting Numbers: [57, 66, 92]
Generated Node #0,3: 83:[57, 66, 92] Operation: 42+50=92
Moving to Node #0,3
Current State: 83:[57, 66, 92], Operations: ['42+50=92']
Exploring Operation: 66-57=9, Resulting Numbers: [92, 9]
Generated Node #0,3,0: 83:[92, 9] Operation: 66-57=9
Exploring Operation: 57+66=123, Resulting Numbers: [92, 123]
Generated Node #0,3,1: 83:[92, 123] Operation: 57+66=123
Exploring Operation: 92-57=35, Resulting Numbers: [66, 35]
Generated Node #0,3,2: 83:[66, 35] Operation: 92-57=35
Exploring Operation: 57+92=149, Resulting Numbers: [66, 149]
Generated Node #0,3,3: 83:[66, 149] Operation: 57+92=149
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 83:[92, 123], Operations: ['42+50=92', '57+66=123']
Exploring Operation: 92*123=11316, Resulting Numbers: [11316]
11316,83 unequal: No Solution
Exploring Operation: 123-92=31, Resulting Numbers: [31]
31,83 unequal: No Solution
Exploring Operation: 92+123=215, Resulting Numbers: [215]
215,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 83:[66, 35], Operations: ['42+50=92', '92-57=35']
Exploring Operation: 66*35=2310, Resulting Numbers: [2310]
2310,83 unequal: No Solution
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,83 unequal: No Solution
Exploring Operation: 66+35=101, Resulting Numbers: [101]
101,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 83:[92, 9], Operations: ['42+50=92', '66-57=9']
Exploring Operation: 92+9=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[42, 57, 66, 50], Operations: []
Exploring Operation: 42+50=92, Resulting Numbers: [57, 66, 92]
Generated Node #0,3: 83:[57, 66, 92] Operation: 42+50=92
Moving to Node #0,3
Current State: 83:[57, 66, 92], Operations: ['42+50=92']
Exploring Operation: 66-57=9, Resulting Numbers: [92, 9]
Generated Node #0,3,0: 83:[92, 9] Operation: 66-57=9
Moving to Node #0,3,0
Current State: 83:[92, 9], Operations: ['42+50=92', '66-57=9']
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
39,
46,
93,
15
] | 36 | [
"46-15=31",
"93/31=3",
"39-3=36"
] | Current State: 36:[39, 46, 93, 15], Operations: []
Exploring Operation: 46-15=31, Resulting Numbers: [39, 93, 31]
Generated Node #2: [39, 93, 31] from Operation: 46-15=31
Current State: 36:[39, 93, 31], Operations: ['46-15=31']
Exploring Operation: 93/31=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 93/31=3
Current State: 36:[39, 3], Operations: ['46-15=31', '93/31=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[39, 46, 93, 15], Operations: []
Exploring Operation: 93-46=47, Resulting Numbers: [39, 15, 47]
Generated Node #0,0: 36:[39, 15, 47] Operation: 93-46=47
Exploring Operation: 93-39=54, Resulting Numbers: [46, 15, 54]
Generated Node #0,1: 36:[46, 15, 54] Operation: 93-39=54
Moving to Node #0,0
Current State: 36:[39, 15, 47], Operations: ['93-46=47']
Exploring Operation: 47-39=8, Resulting Numbers: [15, 8]
Generated Node #0,0,0: 36:[15, 8] Operation: 47-39=8
Exploring Operation: 47-15=32, Resulting Numbers: [39, 32]
Generated Node #0,0,1: 36:[39, 32] Operation: 47-15=32
Moving to Node #0,1
Current State: 36:[46, 15, 54], Operations: ['93-39=54']
Exploring Operation: 54-15=39, Resulting Numbers: [46, 39]
Generated Node #0,1,0: 36:[46, 39] Operation: 54-15=39
Exploring Operation: 54-46=8, Resulting Numbers: [15, 8]
Generated Node #0,1,1: 36:[15, 8] Operation: 54-46=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[15, 8], Operations: ['93-39=54', '54-46=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,36 unequal: No Solution
No 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: 36:[46, 39], Operations: ['93-39=54', '54-15=39']
Exploring Operation: 46+39=85, Resulting Numbers: [85]
85,36 unequal: No Solution
Exploring Operation: 46-39=7, Resulting Numbers: [7]
7,36 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: 36:[15, 8], Operations: ['93-46=47', '47-39=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[39, 32], Operations: ['93-46=47', '47-15=32']
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,36 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
96,
16,
20,
98
] | 84 | [
"96/16=6",
"98-20=78",
"6+78=84"
] | Current State: 84:[96, 16, 20, 98], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [20, 98, 6]
Generated Node #2: [20, 98, 6] from Operation: 96/16=6
Current State: 84:[20, 98, 6], Operations: ['96/16=6']
Exploring Operation: 98-20=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 98-20=78
Current State: 84:[6, 78], Operations: ['96/16=6', '98-20=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[96, 16, 20, 98], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [20, 98, 6]
Generated Node #0,0: 84:[20, 98, 6] Operation: 96/16=6
Exploring Operation: 98-96=2, Resulting Numbers: [16, 20, 2]
Generated Node #0,1: 84:[16, 20, 2] Operation: 98-96=2
Exploring Operation: 98-16=82, Resulting Numbers: [96, 20, 82]
Generated Node #0,2: 84:[96, 20, 82] Operation: 98-16=82
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[16, 20, 2], Operations: ['98-96=2']
Exploring Operation: 20-16=4, Resulting Numbers: [2, 4]
Generated Node #0,1,0: 84:[2, 4] Operation: 20-16=4
Exploring Operation: 16/2=8, Resulting Numbers: [20, 8]
Generated Node #0,1,1: 84:[20, 8] Operation: 16/2=8
Exploring Operation: 16-2=14, Resulting Numbers: [20, 14]
Generated Node #0,1,2: 84:[20, 14] Operation: 16-2=14
Moving to Node #0,1,0
Current State: 84:[2, 4], Operations: ['98-96=2', '20-16=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[20, 14], Operations: ['98-96=2', '16-2=14']
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 20*14=280, Resulting Numbers: [280]
280,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[20, 8], Operations: ['98-96=2', '16/2=8']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 20*8=160, Resulting Numbers: [160]
160,84 unequal: No Solution
Exploring Operation: 20+8=28, Resulting Numbers: [28]
28,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[20, 98, 6], Operations: ['96/16=6']
Exploring Operation: 20-6=14, Resulting Numbers: [98, 14]
Generated Node #0,0,0: 84:[98, 14] Operation: 20-6=14
Exploring Operation: 98-6=92, Resulting Numbers: [20, 92]
Generated Node #0,0,1: 84:[20, 92] Operation: 98-6=92
Exploring Operation: 98-20=78, Resulting Numbers: [6, 78]
Generated Node #0,0,2: 84:[6, 78] Operation: 98-20=78
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 84:[6, 78], Operations: ['96/16=6', '98-20=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[96, 16, 20, 98], Operations: []
Exploring Operation: 96/16=6, Resulting Numbers: [20, 98, 6]
Generated Node #0,0: 84:[20, 98, 6] Operation: 96/16=6
Moving to Node #0,0
Current State: 84:[20, 98, 6], Operations: ['96/16=6']
Exploring Operation: 98-20=78, Resulting Numbers: [6, 78]
Generated Node #0,0,2: 84:[6, 78] Operation: 98-20=78
Moving to Node #0,0,2
Current State: 84:[6, 78], Operations: ['96/16=6', '98-20=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
59,
3,
57,
96
] | 51 | [
"59-57=2",
"96/2=48",
"3+48=51"
] | Current State: 51:[59, 3, 57, 96], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [3, 96, 2]
Generated Node #2: [3, 96, 2] from Operation: 59-57=2
Current State: 51:[3, 96, 2], Operations: ['59-57=2']
Exploring Operation: 96/2=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 96/2=48
Current State: 51:[3, 48], Operations: ['59-57=2', '96/2=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[59, 3, 57, 96], Operations: []
Exploring Operation: 96-57=39, Resulting Numbers: [59, 3, 39]
Generated Node #0,0: 51:[59, 3, 39] Operation: 96-57=39
Exploring Operation: 96-59=37, Resulting Numbers: [3, 57, 37]
Generated Node #0,1: 51:[3, 57, 37] Operation: 96-59=37
Moving to Node #0,0
Current State: 51:[59, 3, 39], Operations: ['96-57=39']
Exploring Operation: 59-39=20, Resulting Numbers: [3, 20]
Generated Node #0,0,0: 51:[3, 20] Operation: 59-39=20
Exploring Operation: 39/3=13, Resulting Numbers: [59, 13]
Generated Node #0,0,1: 51:[59, 13] Operation: 39/3=13
Moving to Node #0,1
Current State: 51:[3, 57, 37], Operations: ['96-59=37']
Exploring Operation: 57-37=20, Resulting Numbers: [3, 20]
Generated Node #0,1,0: 51:[3, 20] Operation: 57-37=20
Exploring Operation: 57/3=19, Resulting Numbers: [37, 19]
Generated Node #0,1,1: 51:[37, 19] Operation: 57/3=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[3, 20], Operations: ['96-59=37', '57-37=20']
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,51 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 51:[37, 19], Operations: ['96-59=37', '57/3=19']
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,51 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: 51:[3, 20], Operations: ['96-57=39', '59-39=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[59, 13], Operations: ['96-57=39', '39/3=13']
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,51 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
42,
4,
18
] | 62 | [
"34+42=76",
"18-4=14",
"76-14=62"
] | Current State: 62:[34, 42, 4, 18], Operations: []
Exploring Operation: 34+42=76, Resulting Numbers: [4, 18, 76]
Generated Node #2: [4, 18, 76] from Operation: 34+42=76
Current State: 62:[4, 18, 76], Operations: ['34+42=76']
Exploring Operation: 18-4=14, Resulting Numbers: [76, 14]
Generated Node #3: [76, 14] from Operation: 18-4=14
Current State: 62:[76, 14], Operations: ['34+42=76', '18-4=14']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[34, 42, 4, 18], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [4, 18, 8]
Generated Node #0,0: 62:[4, 18, 8] Operation: 42-34=8
Exploring Operation: 42+18=60, Resulting Numbers: [34, 4, 60]
Generated Node #0,1: 62:[34, 4, 60] Operation: 42+18=60
Exploring Operation: 42-18=24, Resulting Numbers: [34, 4, 24]
Generated Node #0,2: 62:[34, 4, 24] Operation: 42-18=24
Moving to Node #0,1
Current State: 62:[34, 4, 60], Operations: ['42+18=60']
Exploring Operation: 60-34=26, Resulting Numbers: [4, 26]
Generated Node #0,1,0: 62:[4, 26] Operation: 60-34=26
Exploring Operation: 34-4=30, Resulting Numbers: [60, 30]
Generated Node #0,1,1: 62:[60, 30] Operation: 34-4=30
Exploring Operation: 4+60=64, Resulting Numbers: [34, 64]
Generated Node #0,1,2: 62:[34, 64] Operation: 4+60=64
Moving to Node #0,2
Current State: 62:[34, 4, 24], Operations: ['42-18=24']
Exploring Operation: 24/4=6, Resulting Numbers: [34, 6]
Generated Node #0,2,0: 62:[34, 6] Operation: 24/4=6
Exploring Operation: 4+24=28, Resulting Numbers: [34, 28]
Generated Node #0,2,1: 62:[34, 28] Operation: 4+24=28
Exploring Operation: 34+24=58, Resulting Numbers: [4, 58]
Generated Node #0,2,2: 62:[4, 58] Operation: 34+24=58
Moving to Node #0,0
Current State: 62:[4, 18, 8], Operations: ['42-34=8']
Exploring Operation: 18+8=26, Resulting Numbers: [4, 26]
Generated Node #0,0,0: 62:[4, 26] Operation: 18+8=26
Exploring Operation: 18-8=10, Resulting Numbers: [4, 10]
Generated Node #0,0,1: 62:[4, 10] Operation: 18-8=10
Exploring Operation: 8/4=2, Resulting Numbers: [18, 2]
Generated Node #0,0,2: 62:[18, 2] Operation: 8/4=2
Moving to Node #0,1,1
Current State: 62:[60, 30], Operations: ['42+18=60', '34-4=30']
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[34, 64], Operations: ['42+18=60', '4+60=64']
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Exploring Operation: 34*64=2176, Resulting Numbers: [2176]
2176,62 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[4, 58], Operations: ['42-18=24', '34+24=58']
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[34, 42, 4, 18], Operations: []
Exploring Operation: 42-18=24, Resulting Numbers: [34, 4, 24]
Generated Node #0,2: 62:[34, 4, 24] Operation: 42-18=24
Moving to Node #0,2
Current State: 62:[34, 4, 24], Operations: ['42-18=24']
Exploring Operation: 34+24=58, Resulting Numbers: [4, 58]
Generated Node #0,2,2: 62:[4, 58] Operation: 34+24=58
Moving to Node #0,2,2
Current State: 62:[4, 58], Operations: ['42-18=24', '34+24=58']
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.980035 | hs_3 | sum_heuristic |
[
4,
9,
35,
96
] | 89 | [
"9-4=5",
"35/5=7",
"96-7=89"
] | Current State: 89:[4, 9, 35, 96], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [35, 96, 5]
Generated Node #2: [35, 96, 5] from Operation: 9-4=5
Current State: 89:[35, 96, 5], Operations: ['9-4=5']
Exploring Operation: 35/5=7, Resulting Numbers: [96, 7]
Generated Node #3: [96, 7] from Operation: 35/5=7
Current State: 89:[96, 7], Operations: ['9-4=5', '35/5=7']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[4, 9, 35, 96], Operations: []
Exploring Operation: 4*9=36, Resulting Numbers: [35, 96, 36]
Generated Node #0,0: 89:[35, 96, 36] Operation: 4*9=36
Moving to Node #0,0
Current State: 89:[35, 96, 36], Operations: ['4*9=36']
Exploring Operation: 35+36=71, Resulting Numbers: [96, 71]
Generated Node #0,0,0: 89:[96, 71] Operation: 35+36=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[96, 71], Operations: ['4*9=36', '35+36=71']
Exploring Operation: 96-71=25, Resulting Numbers: [25]
25,89 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 |
[
48,
95,
78,
61
] | 89 | [
"61-48=13",
"78/13=6",
"95-6=89"
] | Current State: 89:[48, 95, 78, 61], Operations: []
Exploring Operation: 61-48=13, Resulting Numbers: [95, 78, 13]
Generated Node #2: [95, 78, 13] from Operation: 61-48=13
Current State: 89:[95, 78, 13], Operations: ['61-48=13']
Exploring Operation: 78/13=6, Resulting Numbers: [95, 6]
Generated Node #3: [95, 6] from Operation: 78/13=6
Current State: 89:[95, 6], Operations: ['61-48=13', '78/13=6']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[48, 95, 78, 61], Operations: []
Exploring Operation: 95-48=47, Resulting Numbers: [78, 61, 47]
Generated Node #0,0: 89:[78, 61, 47] Operation: 95-48=47
Exploring Operation: 48+61=109, Resulting Numbers: [95, 78, 109]
Generated Node #0,1: 89:[95, 78, 109] Operation: 48+61=109
Exploring Operation: 48+78=126, Resulting Numbers: [95, 61, 126]
Generated Node #0,2: 89:[95, 61, 126] Operation: 48+78=126
Moving to Node #0,1
Current State: 89:[95, 78, 109], Operations: ['48+61=109']
Exploring Operation: 109-78=31, Resulting Numbers: [95, 31]
Generated Node #0,1,0: 89:[95, 31] Operation: 109-78=31
Exploring Operation: 95-78=17, Resulting Numbers: [109, 17]
Generated Node #0,1,1: 89:[109, 17] Operation: 95-78=17
Exploring Operation: 109-95=14, Resulting Numbers: [78, 14]
Generated Node #0,1,2: 89:[78, 14] Operation: 109-95=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[95, 31], Operations: ['48+61=109', '109-78=31']
Exploring Operation: 95*31=2945, Resulting Numbers: [2945]
2945,89 unequal: No Solution
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,89 unequal: No Solution
Exploring Operation: 95+31=126, Resulting Numbers: [126]
126,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 89:[78, 14], Operations: ['48+61=109', '109-95=14']
Exploring Operation: 78*14=1092, Resulting Numbers: [1092]
1092,89 unequal: No Solution
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,89 unequal: No Solution
Exploring Operation: 78+14=92, Resulting Numbers: [92]
92,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[109, 17], Operations: ['48+61=109', '95-78=17']
Exploring Operation: 109+17=126, Resulting Numbers: [126]
126,89 unequal: No Solution
Exploring Operation: 109-17=92, Resulting Numbers: [92]
92,89 unequal: No Solution
Exploring Operation: 109*17=1853, Resulting Numbers: [1853]
1853,89 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: 89:[95, 61, 126], Operations: ['48+78=126']
Exploring Operation: 126-61=65, Resulting Numbers: [95, 65]
Generated Node #0,2,0: 89:[95, 65] Operation: 126-61=65
Exploring Operation: 126-95=31, Resulting Numbers: [61, 31]
Generated Node #0,2,1: 89:[61, 31] Operation: 126-95=31
Exploring Operation: 95-61=34, Resulting Numbers: [126, 34]
Generated Node #0,2,2: 89:[126, 34] Operation: 95-61=34
Moving to Node #0,0
Current State: 89:[78, 61, 47], Operations: ['95-48=47']
Exploring Operation: 78-47=31, Resulting Numbers: [61, 31]
Generated Node #0,0,0: 89:[61, 31] Operation: 78-47=31
Exploring Operation: 78+47=125, Resulting Numbers: [61, 125]
Generated Node #0,0,1: 89:[61, 125] Operation: 78+47=125
Exploring Operation: 61+47=108, Resulting Numbers: [78, 108]
Generated Node #0,0,2: 89:[78, 108] Operation: 61+47=108
Moving to Node #0,2,0
Current State: 89:[95, 65], Operations: ['48+78=126', '126-61=65']
Exploring Operation: 95*65=6175, Resulting Numbers: [6175]
6175,89 unequal: No Solution
Exploring Operation: 95-65=30, Resulting Numbers: [30]
30,89 unequal: No Solution
Exploring Operation: 95+65=160, Resulting Numbers: [160]
160,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[78, 108], Operations: ['95-48=47', '61+47=108']
Exploring Operation: 78+108=186, Resulting Numbers: [186]
186,89 unequal: No Solution
Exploring Operation: 108-78=30, Resulting Numbers: [30]
30,89 unequal: No Solution
Exploring Operation: 78*108=8424, Resulting Numbers: [8424]
8424,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[61, 125], Operations: ['95-48=47', '78+47=125']
Exploring Operation: 125-61=64, Resulting Numbers: [64]
64,89 unequal: No Solution
Exploring Operation: 61*125=7625, Resulting Numbers: [7625]
7625,89 unequal: No Solution
Exploring Operation: 61+125=186, Resulting Numbers: [186]
186,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[61, 31], Operations: ['95-48=47', '78-47=31']
Exploring Operation: 61*31=1891, Resulting Numbers: [1891]
1891,89 unequal: No Solution
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,89 unequal: No Solution
Exploring Operation: 61+31=92, Resulting Numbers: [92]
92,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[61, 31], Operations: ['48+78=126', '126-95=31']
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,89 unequal: No Solution
Exploring Operation: 61*31=1891, Resulting Numbers: [1891]
1891,89 unequal: No Solution
Exploring Operation: 61+31=92, Resulting Numbers: [92]
92,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[126, 34], Operations: ['48+78=126', '95-61=34']
Exploring Operation: 126+34=160, Resulting Numbers: [160]
160,89 unequal: No Solution
Exploring Operation: 126*34=4284, Resulting Numbers: [4284]
4284,89 unequal: No Solution
Exploring Operation: 126-34=92, Resulting Numbers: [92]
92,89 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
70,
43,
19,
64
] | 18 | [
"70-43=27",
"64-19=45",
"45-27=18"
] | Current State: 18:[70, 43, 19, 64], Operations: []
Exploring Operation: 70-43=27, Resulting Numbers: [19, 64, 27]
Generated Node #2: [19, 64, 27] from Operation: 70-43=27
Current State: 18:[19, 64, 27], Operations: ['70-43=27']
Exploring Operation: 64-19=45, Resulting Numbers: [27, 45]
Generated Node #3: [27, 45] from Operation: 64-19=45
Current State: 18:[27, 45], Operations: ['70-43=27', '64-19=45']
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[70, 43, 19, 64], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [70, 19, 21]
Generated Node #0,0: 18:[70, 19, 21] Operation: 64-43=21
Exploring Operation: 70-19=51, Resulting Numbers: [43, 64, 51]
Generated Node #0,1: 18:[43, 64, 51] Operation: 70-19=51
Exploring Operation: 70-43=27, Resulting Numbers: [19, 64, 27]
Generated Node #0,2: 18:[19, 64, 27] Operation: 70-43=27
Exploring Operation: 70-64=6, Resulting Numbers: [43, 19, 6]
Generated Node #0,3: 18:[43, 19, 6] Operation: 70-64=6
Moving to Node #0,3
Current State: 18:[43, 19, 6], Operations: ['70-64=6']
Exploring Operation: 43-6=37, Resulting Numbers: [19, 37]
Generated Node #0,3,0: 18:[19, 37] Operation: 43-6=37
Exploring Operation: 43+6=49, Resulting Numbers: [19, 49]
Generated Node #0,3,1: 18:[19, 49] Operation: 43+6=49
Exploring Operation: 43-19=24, Resulting Numbers: [6, 24]
Generated Node #0,3,2: 18:[6, 24] Operation: 43-19=24
Exploring Operation: 19-6=13, Resulting Numbers: [43, 13]
Generated Node #0,3,3: 18:[43, 13] Operation: 19-6=13
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 18:[6, 24], Operations: ['70-64=6', '43-19=24']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[70, 43, 19, 64], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [43, 19, 6]
Generated Node #0,3: 18:[43, 19, 6] Operation: 70-64=6
Moving to Node #0,3
Current State: 18:[43, 19, 6], Operations: ['70-64=6']
Exploring Operation: 43-19=24, Resulting Numbers: [6, 24]
Generated Node #0,3,2: 18:[6, 24] Operation: 43-19=24
Moving to Node #0,3,2
Current State: 18:[6, 24], Operations: ['70-64=6', '43-19=24']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
95,
46,
66,
26
] | 91 | [
"95+66=161",
"26*161=4186",
"4186/46=91"
] | Current State: 91:[95, 46, 66, 26], Operations: []
Exploring Operation: 95+66=161, Resulting Numbers: [46, 26, 161]
Generated Node #2: [46, 26, 161] from Operation: 95+66=161
Current State: 91:[46, 26, 161], Operations: ['95+66=161']
Exploring Operation: 26*161=4186, Resulting Numbers: [46, 4186]
Generated Node #3: [46, 4186] from Operation: 26*161=4186
Current State: 91:[46, 4186], Operations: ['95+66=161', '26*161=4186']
Exploring Operation: 4186/46=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[95, 46, 66, 26], Operations: []
Exploring Operation: 46-26=20, Resulting Numbers: [95, 66, 20]
Generated Node #0,0: 91:[95, 66, 20] Operation: 46-26=20
Exploring Operation: 66+26=92, Resulting Numbers: [95, 46, 92]
Generated Node #0,1: 91:[95, 46, 92] Operation: 66+26=92
Exploring Operation: 46+66=112, Resulting Numbers: [95, 26, 112]
Generated Node #0,2: 91:[95, 26, 112] Operation: 46+66=112
Exploring Operation: 66-46=20, Resulting Numbers: [95, 26, 20]
Generated Node #0,3: 91:[95, 26, 20] Operation: 66-46=20
Moving to Node #0,3
Current State: 91:[95, 26, 20], Operations: ['66-46=20']
Exploring Operation: 95-20=75, Resulting Numbers: [26, 75]
Generated Node #0,3,0: 91:[26, 75] Operation: 95-20=75
Exploring Operation: 95+26=121, Resulting Numbers: [20, 121]
Generated Node #0,3,1: 91:[20, 121] Operation: 95+26=121
Exploring Operation: 95-26=69, Resulting Numbers: [20, 69]
Generated Node #0,3,2: 91:[20, 69] Operation: 95-26=69
Exploring Operation: 26-20=6, Resulting Numbers: [95, 6]
Generated Node #0,3,3: 91:[95, 6] Operation: 26-20=6
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 91:[95, 6], Operations: ['66-46=20', '26-20=6']
Exploring Operation: 95*6=570, Resulting Numbers: [570]
570,91 unequal: No Solution
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 95+6=101, Resulting Numbers: [101]
101,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 91:[26, 75], Operations: ['66-46=20', '95-20=75']
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,91 unequal: No Solution
Exploring Operation: 26*75=1950, Resulting Numbers: [1950]
1950,91 unequal: No Solution
Exploring Operation: 26+75=101, Resulting Numbers: [101]
101,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 91:[20, 69], Operations: ['66-46=20', '95-26=69']
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,91 unequal: No Solution
Exploring Operation: 20*69=1380, Resulting Numbers: [1380]
1380,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 91:[20, 121], Operations: ['66-46=20', '95+26=121']
Exploring Operation: 20*121=2420, Resulting Numbers: [2420]
2420,91 unequal: No Solution
Exploring Operation: 121-20=101, Resulting Numbers: [101]
101,91 unequal: No Solution
Exploring Operation: 20+121=141, Resulting Numbers: [141]
141,91 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: 91:[95, 66, 20], Operations: ['46-26=20']
Exploring Operation: 95-66=29, Resulting Numbers: [20, 29]
Generated Node #0,0,0: 91:[20, 29] Operation: 95-66=29
Exploring Operation: 95-20=75, Resulting Numbers: [66, 75]
Generated Node #0,0,1: 91:[66, 75] Operation: 95-20=75
Exploring Operation: 66+20=86, Resulting Numbers: [95, 86]
Generated Node #0,0,2: 91:[95, 86] Operation: 66+20=86
Exploring Operation: 66-20=46, Resulting Numbers: [95, 46]
Generated Node #0,0,3: 91:[95, 46] Operation: 66-20=46
Moving to Node #0,2
Current State: 91:[95, 26, 112], Operations: ['46+66=112']
Exploring Operation: 112-95=17, Resulting Numbers: [26, 17]
Generated Node #0,2,0: 91:[26, 17] Operation: 112-95=17
Exploring Operation: 95+26=121, Resulting Numbers: [112, 121]
Generated Node #0,2,1: 91:[112, 121] Operation: 95+26=121
Exploring Operation: 112-26=86, Resulting Numbers: [95, 86]
Generated Node #0,2,2: 91:[95, 86] Operation: 112-26=86
Exploring Operation: 95-26=69, Resulting Numbers: [112, 69]
Generated Node #0,2,3: 91:[112, 69] Operation: 95-26=69
Moving to Node #0,1
Current State: 91:[95, 46, 92], Operations: ['66+26=92']
Exploring Operation: 92/46=2, Resulting Numbers: [95, 2]
Generated Node #0,1,0: 91:[95, 2] Operation: 92/46=2
Exploring Operation: 92-46=46, Resulting Numbers: [95, 46]
Generated Node #0,1,1: 91:[95, 46] Operation: 92-46=46
Exploring Operation: 95-46=49, Resulting Numbers: [92, 49]
Generated Node #0,1,2: 91:[92, 49] Operation: 95-46=49
Exploring Operation: 95-92=3, Resulting Numbers: [46, 3]
Generated Node #0,1,3: 91:[46, 3] Operation: 95-92=3
Moving to Node #0,0,2
Current State: 91:[95, 86], Operations: ['46-26=20', '66+20=86']
Exploring Operation: 95*86=8170, Resulting Numbers: [8170]
8170,91 unequal: No Solution
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 95+86=181, Resulting Numbers: [181]
181,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[95, 86], Operations: ['46+66=112', '112-26=86']
Exploring Operation: 95+86=181, Resulting Numbers: [181]
181,91 unequal: No Solution
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 95*86=8170, Resulting Numbers: [8170]
8170,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[95, 2], Operations: ['66+26=92', '92/46=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,91 unequal: No Solution
Exploring Operation: 95*2=190, Resulting Numbers: [190]
190,91 unequal: No Solution
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[26, 17], Operations: ['46+66=112', '112-95=17']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,91 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[20, 29], Operations: ['46-26=20', '95-66=29']
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,91 unequal: No Solution
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[95, 46], Operations: ['46-26=20', '66-20=46']
Exploring Operation: 95*46=4370, Resulting Numbers: [4370]
4370,91 unequal: No Solution
Exploring Operation: 95+46=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[92, 49], Operations: ['66+26=92', '95-46=49']
Exploring Operation: 92*49=4508, Resulting Numbers: [4508]
4508,91 unequal: No Solution
Exploring Operation: 92-49=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Exploring Operation: 92+49=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[95, 46], Operations: ['66+26=92', '92-46=46']
Exploring Operation: 95*46=4370, Resulting Numbers: [4370]
4370,91 unequal: No Solution
Exploring Operation: 95+46=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[46, 3], Operations: ['66+26=92', '95-92=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,91 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[66, 75], Operations: ['46-26=20', '95-20=75']
Exploring Operation: 75-66=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 66+75=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Exploring Operation: 66*75=4950, Resulting Numbers: [4950]
4950,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[112, 69], Operations: ['46+66=112', '95-26=69']
Exploring Operation: 112+69=181, Resulting Numbers: [181]
181,91 unequal: No Solution
Exploring Operation: 112-69=43, Resulting Numbers: [43]
43,91 unequal: No Solution
Exploring Operation: 112*69=7728, Resulting Numbers: [7728]
7728,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[112, 121], Operations: ['46+66=112', '95+26=121']
Exploring Operation: 112+121=233, Resulting Numbers: [233]
233,91 unequal: No Solution
Exploring Operation: 112*121=13552, Resulting Numbers: [13552]
13552,91 unequal: No Solution
Exploring Operation: 121-112=9, Resulting Numbers: [9]
9,91 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
11,
15,
55,
18
] | 93 | [
"55/11=5",
"15*5=75",
"18+75=93"
] | Current State: 93:[11, 15, 55, 18], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [15, 18, 5]
Generated Node #2: [15, 18, 5] from Operation: 55/11=5
Current State: 93:[15, 18, 5], Operations: ['55/11=5']
Exploring Operation: 15*5=75, Resulting Numbers: [18, 75]
Generated Node #3: [18, 75] from Operation: 15*5=75
Current State: 93:[18, 75], Operations: ['55/11=5', '15*5=75']
Exploring Operation: 18+75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[11, 15, 55, 18], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [15, 18, 5]
Generated Node #0,0: 93:[15, 18, 5] Operation: 55/11=5
Exploring Operation: 55-18=37, Resulting Numbers: [11, 15, 37]
Generated Node #0,1: 93:[11, 15, 37] Operation: 55-18=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[11, 15, 37], Operations: ['55-18=37']
Exploring Operation: 15-11=4, Resulting Numbers: [37, 4]
Generated Node #0,1,0: 93:[37, 4] Operation: 15-11=4
Exploring Operation: 11+15=26, Resulting Numbers: [37, 26]
Generated Node #0,1,1: 93:[37, 26] Operation: 11+15=26
Moving to Node #0,1,0
Current State: 93:[37, 4], Operations: ['55-18=37', '15-11=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,93 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[37, 26], Operations: ['55-18=37', '11+15=26']
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Exploring Operation: 37+26=63, Resulting Numbers: [63]
63,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[15, 18, 5], Operations: ['55/11=5']
Exploring Operation: 15+18=33, Resulting Numbers: [5, 33]
Generated Node #0,0,0: 93:[5, 33] Operation: 15+18=33
Exploring Operation: 18-15=3, Resulting Numbers: [5, 3]
Generated Node #0,0,1: 93:[5, 3] Operation: 18-15=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[5, 3], Operations: ['55/11=5', '18-15=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[5, 33], Operations: ['55/11=5', '15+18=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,93 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
53,
31,
28,
84
] | 29 | [
"53+31=84",
"84/84=1",
"28+1=29"
] | Current State: 29:[53, 31, 28, 84], Operations: []
Exploring Operation: 53+31=84, Resulting Numbers: [28, 84, 84]
Generated Node #2: [28, 84, 84] from Operation: 53+31=84
Current State: 29:[28, 84, 84], Operations: ['53+31=84']
Exploring Operation: 84/84=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 84/84=1
Current State: 29:[28, 1], Operations: ['53+31=84', '84/84=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[53, 31, 28, 84], Operations: []
Exploring Operation: 53-28=25, Resulting Numbers: [31, 84, 25]
Generated Node #0,0: 29:[31, 84, 25] Operation: 53-28=25
Exploring Operation: 84-28=56, Resulting Numbers: [53, 31, 56]
Generated Node #0,1: 29:[53, 31, 56] Operation: 84-28=56
Exploring Operation: 84/28=3, Resulting Numbers: [53, 31, 3]
Generated Node #0,2: 29:[53, 31, 3] Operation: 84/28=3
Exploring Operation: 84-53=31, Resulting Numbers: [31, 28, 31]
Generated Node #0,3: 29:[31, 28, 31] Operation: 84-53=31
Exploring Operation: 84-31=53, Resulting Numbers: [53, 28, 53]
Generated Node #0,4: 29:[53, 28, 53] Operation: 84-31=53
Moving to Node #0,3
Current State: 29:[31, 28, 31], Operations: ['84-53=31']
Exploring Operation: 31-28=3, Resulting Numbers: [31, 3]
Generated Node #0,3,0: 29:[31, 3] Operation: 31-28=3
Exploring Operation: 31-28=3, Resulting Numbers: [31, 3]
Generated Node #0,3,1: 29:[31, 3] Operation: 31-28=3
Exploring Operation: 31+28=59, Resulting Numbers: [31, 59]
Generated Node #0,3,2: 29:[31, 59] Operation: 31+28=59
Exploring Operation: 31/31=1, Resulting Numbers: [28, 1]
Generated Node #0,3,3: 29:[28, 1] Operation: 31/31=1
Exploring Operation: 31-31=0, Resulting Numbers: [28, 0]
Generated Node #0,3,4: 29:[28, 0] Operation: 31-31=0
Moving to Node #0,4
Current State: 29:[53, 28, 53], Operations: ['84-31=53']
Exploring Operation: 53-28=25, Resulting Numbers: [53, 25]
Generated Node #0,4,0: 29:[53, 25] Operation: 53-28=25
Exploring Operation: 53-53=0, Resulting Numbers: [28, 0]
Generated Node #0,4,1: 29:[28, 0] Operation: 53-53=0
Exploring Operation: 53-28=25, Resulting Numbers: [53, 25]
Generated Node #0,4,2: 29:[53, 25] Operation: 53-28=25
Exploring Operation: 53+28=81, Resulting Numbers: [53, 81]
Generated Node #0,4,3: 29:[53, 81] Operation: 53+28=81
Exploring Operation: 53/53=1, Resulting Numbers: [28, 1]
Generated Node #0,4,4: 29:[28, 1] Operation: 53/53=1
Moving to Node #0,2
Current State: 29:[53, 31, 3], Operations: ['84/28=3']
Exploring Operation: 53-3=50, Resulting Numbers: [31, 50]
Generated Node #0,2,0: 29:[31, 50] Operation: 53-3=50
Exploring Operation: 31+3=34, Resulting Numbers: [53, 34]
Generated Node #0,2,1: 29:[53, 34] Operation: 31+3=34
Exploring Operation: 53-31=22, Resulting Numbers: [3, 22]
Generated Node #0,2,2: 29:[3, 22] Operation: 53-31=22
Exploring Operation: 31-3=28, Resulting Numbers: [53, 28]
Generated Node #0,2,3: 29:[53, 28] Operation: 31-3=28
Exploring Operation: 53+3=56, Resulting Numbers: [31, 56]
Generated Node #0,2,4: 29:[31, 56] Operation: 53+3=56
Moving to Node #0,1
Current State: 29:[53, 31, 56], Operations: ['84-28=56']
Exploring Operation: 53+31=84, Resulting Numbers: [56, 84]
Generated Node #0,1,0: 29:[56, 84] Operation: 53+31=84
Exploring Operation: 56-31=25, Resulting Numbers: [53, 25]
Generated Node #0,1,1: 29:[53, 25] Operation: 56-31=25
Exploring Operation: 53+56=109, Resulting Numbers: [31, 109]
Generated Node #0,1,2: 29:[31, 109] Operation: 53+56=109
Exploring Operation: 56-53=3, Resulting Numbers: [31, 3]
Generated Node #0,1,3: 29:[31, 3] Operation: 56-53=3
Exploring Operation: 53-31=22, Resulting Numbers: [56, 22]
Generated Node #0,1,4: 29:[56, 22] Operation: 53-31=22
Moving to Node #0,0
Current State: 29:[31, 84, 25], Operations: ['53-28=25']
Exploring Operation: 31-25=6, Resulting Numbers: [84, 6]
Generated Node #0,0,0: 29:[84, 6] Operation: 31-25=6
Exploring Operation: 31+25=56, Resulting Numbers: [84, 56]
Generated Node #0,0,1: 29:[84, 56] Operation: 31+25=56
Exploring Operation: 84+25=109, Resulting Numbers: [31, 109]
Generated Node #0,0,2: 29:[31, 109] Operation: 84+25=109
Exploring Operation: 84-25=59, Resulting Numbers: [31, 59]
Generated Node #0,0,3: 29:[31, 59] Operation: 84-25=59
Exploring Operation: 84-31=53, Resulting Numbers: [25, 53]
Generated Node #0,0,4: 29:[25, 53] Operation: 84-31=53
Moving to Node #0,2,0
Current State: 29:[31, 50], Operations: ['84/28=3', '53-3=50']
Exploring Operation: 31+50=81, Resulting Numbers: [81]
81,29 unequal: No Solution
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,29 unequal: No Solution
Exploring Operation: 31*50=1550, Resulting Numbers: [1550]
1550,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[53, 28], Operations: ['84/28=3', '31-3=28']
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 53*28=1484, Resulting Numbers: [1484]
1484,29 unequal: No Solution
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,29 unequal: No Solution
Moving to Node #0,4,2
Current State: 29:[53, 25], Operations: ['84-31=53', '53-28=25']
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 53*25=1325, Resulting Numbers: [1325]
1325,29 unequal: No Solution
Exploring Operation: 53+25=78, Resulting Numbers: [78]
78,29 unequal: No Solution
Moving to Node #0,4,0
Current State: 29:[53, 25], Operations: ['84-31=53', '53-28=25']
Exploring Operation: 53+25=78, Resulting Numbers: [78]
78,29 unequal: No Solution
Exploring Operation: 53*25=1325, Resulting Numbers: [1325]
1325,29 unequal: No Solution
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Moving to Node #0,3,0
Current State: 29:[31, 3], Operations: ['84-53=31', '31-28=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,29 unequal: No Solution
Moving to Node #0,3,1
Current State: 29:[31, 3], Operations: ['84-53=31', '31-28=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,29 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Moving to Node #0,0,4
Current State: 29:[25, 53], Operations: ['53-28=25', '84-31=53']
Exploring Operation: 25*53=1325, Resulting Numbers: [1325]
1325,29 unequal: No Solution
Exploring Operation: 25+53=78, Resulting Numbers: [78]
78,29 unequal: No Solution
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[53, 25], Operations: ['84-28=56', '56-31=25']
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 53+25=78, Resulting Numbers: [78]
78,29 unequal: No Solution
Exploring Operation: 53*25=1325, Resulting Numbers: [1325]
1325,29 unequal: No Solution
Moving to Node #0,1,3
Current State: 29:[31, 3], Operations: ['84-28=56', '56-53=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,29 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Moving to Node #0,2,4
Current State: 29:[31, 56], Operations: ['84/28=3', '53+3=56']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,29 unequal: No Solution
Exploring Operation: 31+56=87, Resulting Numbers: [87]
87,29 unequal: No Solution
Exploring Operation: 31*56=1736, Resulting Numbers: [1736]
1736,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[53, 34], Operations: ['84/28=3', '31+3=34']
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,29 unequal: No Solution
Exploring Operation: 53*34=1802, Resulting Numbers: [1802]
1802,29 unequal: No Solution
Exploring Operation: 53+34=87, Resulting Numbers: [87]
87,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[28, 1], Operations: ['84-53=31', '31/31=1']
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[53, 31, 28, 84], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [31, 28, 31]
Generated Node #0,3: 29:[31, 28, 31] Operation: 84-53=31
Moving to Node #0,3
Current State: 29:[31, 28, 31], Operations: ['84-53=31']
Exploring Operation: 31/31=1, Resulting Numbers: [28, 1]
Generated Node #0,3,3: 29:[28, 1] Operation: 31/31=1
Moving to Node #0,3,3
Current State: 29:[28, 1], Operations: ['84-53=31', '31/31=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.940104 | hs_5 | mult_heuristic |
[
44,
53,
57,
92
] | 26 | [
"53-44=9",
"92-57=35",
"35-9=26"
] | Current State: 26:[44, 53, 57, 92], Operations: []
Exploring Operation: 53-44=9, Resulting Numbers: [57, 92, 9]
Generated Node #2: [57, 92, 9] from Operation: 53-44=9
Current State: 26:[57, 92, 9], Operations: ['53-44=9']
Exploring Operation: 92-57=35, Resulting Numbers: [9, 35]
Generated Node #3: [9, 35] from Operation: 92-57=35
Current State: 26:[9, 35], Operations: ['53-44=9', '92-57=35']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[44, 53, 57, 92], Operations: []
Exploring Operation: 92-57=35, Resulting Numbers: [44, 53, 35]
Generated Node #0,0: 26:[44, 53, 35] Operation: 92-57=35
Exploring Operation: 92-53=39, Resulting Numbers: [44, 57, 39]
Generated Node #0,1: 26:[44, 57, 39] Operation: 92-53=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[44, 53, 35], Operations: ['92-57=35']
Exploring Operation: 53-44=9, Resulting Numbers: [35, 9]
Generated Node #0,0,0: 26:[35, 9] Operation: 53-44=9
Exploring Operation: 53-35=18, Resulting Numbers: [44, 18]
Generated Node #0,0,1: 26:[44, 18] Operation: 53-35=18
Moving to Node #0,0,0
Current State: 26:[35, 9], Operations: ['92-57=35', '53-44=9']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[44, 53, 57, 92], Operations: []
Exploring Operation: 92-57=35, Resulting Numbers: [44, 53, 35]
Generated Node #0,0: 26:[44, 53, 35] Operation: 92-57=35
Moving to Node #0,0
Current State: 26:[44, 53, 35], Operations: ['92-57=35']
Exploring Operation: 53-44=9, Resulting Numbers: [35, 9]
Generated Node #0,0,0: 26:[35, 9] Operation: 53-44=9
Moving to Node #0,0,0
Current State: 26:[35, 9], Operations: ['92-57=35', '53-44=9']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
61,
8,
22,
70
] | 66 | [
"22-8=14",
"70/14=5",
"61+5=66"
] | Current State: 66:[61, 8, 22, 70], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [61, 70, 14]
Generated Node #2: [61, 70, 14] from Operation: 22-8=14
Current State: 66:[61, 70, 14], Operations: ['22-8=14']
Exploring Operation: 70/14=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 70/14=5
Current State: 66:[61, 5], Operations: ['22-8=14', '70/14=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[61, 8, 22, 70], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [8, 22, 9]
Generated Node #0,0: 66:[8, 22, 9] Operation: 70-61=9
Exploring Operation: 70-8=62, Resulting Numbers: [61, 22, 62]
Generated Node #0,1: 66:[61, 22, 62] Operation: 70-8=62
Exploring Operation: 61+8=69, Resulting Numbers: [22, 70, 69]
Generated Node #0,2: 66:[22, 70, 69] Operation: 61+8=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[8, 22, 9], Operations: ['70-61=9']
Exploring Operation: 22-9=13, Resulting Numbers: [8, 13]
Generated Node #0,0,0: 66:[8, 13] Operation: 22-9=13
Exploring Operation: 22+9=31, Resulting Numbers: [8, 31]
Generated Node #0,0,1: 66:[8, 31] Operation: 22+9=31
Exploring Operation: 9-8=1, Resulting Numbers: [22, 1]
Generated Node #0,0,2: 66:[22, 1] Operation: 9-8=1
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 66:[22, 1], Operations: ['70-61=9', '9-8=1']
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[8, 13], Operations: ['70-61=9', '22-9=13']
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,66 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,66 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[8, 31], Operations: ['70-61=9', '22+9=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,66 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[22, 70, 69], Operations: ['61+8=69']
Exploring Operation: 70-69=1, Resulting Numbers: [22, 1]
Generated Node #0,2,0: 66:[22, 1] Operation: 70-69=1
Exploring Operation: 69-22=47, Resulting Numbers: [70, 47]
Generated Node #0,2,1: 66:[70, 47] Operation: 69-22=47
Exploring Operation: 70-22=48, Resulting Numbers: [69, 48]
Generated Node #0,2,2: 66:[69, 48] Operation: 70-22=48
Moving to Node #0,2,0
Current State: 66:[22, 1], Operations: ['61+8=69', '70-69=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[70, 47], Operations: ['61+8=69', '69-22=47']
Exploring Operation: 70-47=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 70+47=117, Resulting Numbers: [117]
117,66 unequal: No Solution
Exploring Operation: 70*47=3290, Resulting Numbers: [3290]
3290,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[69, 48], Operations: ['61+8=69', '70-22=48']
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,66 unequal: No Solution
Exploring Operation: 69*48=3312, Resulting Numbers: [3312]
3312,66 unequal: No Solution
Exploring Operation: 69+48=117, Resulting Numbers: [117]
117,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[61, 22, 62], Operations: ['70-8=62']
Exploring Operation: 62-22=40, Resulting Numbers: [61, 40]
Generated Node #0,1,0: 66:[61, 40] Operation: 62-22=40
Exploring Operation: 61-22=39, Resulting Numbers: [62, 39]
Generated Node #0,1,1: 66:[62, 39] Operation: 61-22=39
Exploring Operation: 62-61=1, Resulting Numbers: [22, 1]
Generated Node #0,1,2: 66:[22, 1] Operation: 62-61=1
Moving to Node #0,1,2
Current State: 66:[22, 1], Operations: ['70-8=62', '62-61=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[62, 39], Operations: ['70-8=62', '61-22=39']
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 62*39=2418, Resulting Numbers: [2418]
2418,66 unequal: No Solution
Exploring Operation: 62+39=101, Resulting Numbers: [101]
101,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[61, 40], Operations: ['70-8=62', '62-22=40']
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,66 unequal: No Solution
Exploring Operation: 61+40=101, Resulting Numbers: [101]
101,66 unequal: No Solution
Exploring Operation: 61*40=2440, Resulting Numbers: [2440]
2440,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
51,
58,
5,
25
] | 72 | [
"51-25=26",
"5*26=130",
"130-58=72"
] | Current State: 72:[51, 58, 5, 25], Operations: []
Exploring Operation: 51-25=26, Resulting Numbers: [58, 5, 26]
Generated Node #2: [58, 5, 26] from Operation: 51-25=26
Current State: 72:[58, 5, 26], Operations: ['51-25=26']
Exploring Operation: 5*26=130, Resulting Numbers: [58, 130]
Generated Node #3: [58, 130] from Operation: 5*26=130
Current State: 72:[58, 130], Operations: ['51-25=26', '5*26=130']
Exploring Operation: 130-58=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[51, 58, 5, 25], Operations: []
Exploring Operation: 58-25=33, Resulting Numbers: [51, 5, 33]
Generated Node #0,0: 72:[51, 5, 33] Operation: 58-25=33
Exploring Operation: 51-25=26, Resulting Numbers: [58, 5, 26]
Generated Node #0,1: 72:[58, 5, 26] Operation: 51-25=26
Exploring Operation: 51+25=76, Resulting Numbers: [58, 5, 76]
Generated Node #0,2: 72:[58, 5, 76] Operation: 51+25=76
Exploring Operation: 58-51=7, Resulting Numbers: [5, 25, 7]
Generated Node #0,3: 72:[5, 25, 7] Operation: 58-51=7
Moving to Node #0,3
Current State: 72:[5, 25, 7], Operations: ['58-51=7']
Exploring Operation: 25-7=18, Resulting Numbers: [5, 18]
Generated Node #0,3,0: 72:[5, 18] Operation: 25-7=18
Exploring Operation: 25/5=5, Resulting Numbers: [7, 5]
Generated Node #0,3,1: 72:[7, 5] Operation: 25/5=5
Exploring Operation: 7-5=2, Resulting Numbers: [25, 2]
Generated Node #0,3,2: 72:[25, 2] Operation: 7-5=2
Exploring Operation: 5+7=12, Resulting Numbers: [25, 12]
Generated Node #0,3,3: 72:[25, 12] Operation: 5+7=12
Moving to Node #0,1
Current State: 72:[58, 5, 26], Operations: ['51-25=26']
Exploring Operation: 26-5=21, Resulting Numbers: [58, 21]
Generated Node #0,1,0: 72:[58, 21] Operation: 26-5=21
Exploring Operation: 58-26=32, Resulting Numbers: [5, 32]
Generated Node #0,1,1: 72:[5, 32] Operation: 58-26=32
Exploring Operation: 58+5=63, Resulting Numbers: [26, 63]
Generated Node #0,1,2: 72:[26, 63] Operation: 58+5=63
Exploring Operation: 58+26=84, Resulting Numbers: [5, 84]
Generated Node #0,1,3: 72:[5, 84] Operation: 58+26=84
Moving to Node #0,2
Current State: 72:[58, 5, 76], Operations: ['51+25=76']
Exploring Operation: 58+5=63, Resulting Numbers: [76, 63]
Generated Node #0,2,0: 72:[76, 63] Operation: 58+5=63
Exploring Operation: 76-58=18, Resulting Numbers: [5, 18]
Generated Node #0,2,1: 72:[5, 18] Operation: 76-58=18
Exploring Operation: 76-5=71, Resulting Numbers: [58, 71]
Generated Node #0,2,2: 72:[58, 71] Operation: 76-5=71
Exploring Operation: 58-5=53, Resulting Numbers: [76, 53]
Generated Node #0,2,3: 72:[76, 53] Operation: 58-5=53
Moving to Node #0,0
Current State: 72:[51, 5, 33], Operations: ['58-25=33']
Exploring Operation: 51-33=18, Resulting Numbers: [5, 18]
Generated Node #0,0,0: 72:[5, 18] Operation: 51-33=18
Exploring Operation: 51-5=46, Resulting Numbers: [33, 46]
Generated Node #0,0,1: 72:[33, 46] Operation: 51-5=46
Exploring Operation: 5+33=38, Resulting Numbers: [51, 38]
Generated Node #0,0,2: 72:[51, 38] Operation: 5+33=38
Exploring Operation: 51+33=84, Resulting Numbers: [5, 84]
Generated Node #0,0,3: 72:[5, 84] Operation: 51+33=84
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[5, 18], Operations: ['58-25=33', '51-33=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[33, 46], Operations: ['58-25=33', '51-5=46']
Exploring Operation: 33+46=79, Resulting Numbers: [79]
79,72 unequal: No Solution
Exploring Operation: 33*46=1518, Resulting Numbers: [1518]
1518,72 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 72:[5, 84], Operations: ['58-25=33', '51+33=84']
Exploring Operation: 5*84=420, Resulting Numbers: [420]
420,72 unequal: No Solution
Exploring Operation: 5+84=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[51, 38], Operations: ['58-25=33', '5+33=38']
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,72 unequal: No Solution
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 72:[5, 18], Operations: ['58-51=7', '25-7=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[25, 12], Operations: ['58-51=7', '5+7=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[25, 2], Operations: ['58-51=7', '7-5=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[5, 18], Operations: ['51+25=76', '76-58=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Moving to Node #0,3,1
Current State: 72:[7, 5], Operations: ['58-51=7', '25/5=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[5, 32], Operations: ['51-25=26', '58-26=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,72 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[26, 63], Operations: ['51-25=26', '58+5=63']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 26+63=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Exploring Operation: 26*63=1638, Resulting Numbers: [1638]
1638,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[5, 84], Operations: ['51-25=26', '58+26=84']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,72 unequal: No Solution
Exploring Operation: 5+84=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Exploring Operation: 5*84=420, Resulting Numbers: [420]
420,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[76, 63], Operations: ['51+25=76', '58+5=63']
Exploring Operation: 76*63=4788, Resulting Numbers: [4788]
4788,72 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 76+63=139, Resulting Numbers: [139]
139,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[58, 71], Operations: ['51+25=76', '76-5=71']
Exploring Operation: 71-58=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 58*71=4118, Resulting Numbers: [4118]
4118,72 unequal: No Solution
Exploring Operation: 58+71=129, Resulting Numbers: [129]
129,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[58, 21], Operations: ['51-25=26', '26-5=21']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 58+21=79, Resulting Numbers: [79]
79,72 unequal: No Solution
Exploring Operation: 58*21=1218, Resulting Numbers: [1218]
1218,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[76, 53], Operations: ['51+25=76', '58-5=53']
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Exploring Operation: 76+53=129, Resulting Numbers: [129]
129,72 unequal: No Solution
Exploring Operation: 76*53=4028, Resulting Numbers: [4028]
4028,72 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
76,
28,
97,
18
] | 84 | [
"97-76=21",
"21-18=3",
"28*3=84"
] | Current State: 84:[76, 28, 97, 18], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [28, 18, 21]
Generated Node #2: [28, 18, 21] from Operation: 97-76=21
Current State: 84:[28, 18, 21], Operations: ['97-76=21']
Exploring Operation: 21-18=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 21-18=3
Current State: 84:[28, 3], Operations: ['97-76=21', '21-18=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[76, 28, 97, 18], Operations: []
Exploring Operation: 76-28=48, Resulting Numbers: [97, 18, 48]
Generated Node #0,0: 84:[97, 18, 48] Operation: 76-28=48
Exploring Operation: 76+18=94, Resulting Numbers: [28, 97, 94]
Generated Node #0,1: 84:[28, 97, 94] Operation: 76+18=94
Exploring Operation: 97-18=79, Resulting Numbers: [76, 28, 79]
Generated Node #0,2: 84:[76, 28, 79] Operation: 97-18=79
Exploring Operation: 97-76=21, Resulting Numbers: [28, 18, 21]
Generated Node #0,3: 84:[28, 18, 21] Operation: 97-76=21
Moving to Node #0,3
Current State: 84:[28, 18, 21], Operations: ['97-76=21']
Exploring Operation: 18+21=39, Resulting Numbers: [28, 39]
Generated Node #0,3,0: 84:[28, 39] Operation: 18+21=39
Exploring Operation: 28-21=7, Resulting Numbers: [18, 7]
Generated Node #0,3,1: 84:[18, 7] Operation: 28-21=7
Exploring Operation: 28-18=10, Resulting Numbers: [21, 10]
Generated Node #0,3,2: 84:[21, 10] Operation: 28-18=10
Exploring Operation: 21-18=3, Resulting Numbers: [28, 3]
Generated Node #0,3,3: 84:[28, 3] Operation: 21-18=3
Moving to Node #0,2
Current State: 84:[76, 28, 79], Operations: ['97-18=79']
Exploring Operation: 79-28=51, Resulting Numbers: [76, 51]
Generated Node #0,2,0: 84:[76, 51] Operation: 79-28=51
Exploring Operation: 76+28=104, Resulting Numbers: [79, 104]
Generated Node #0,2,1: 84:[79, 104] Operation: 76+28=104
Exploring Operation: 76-28=48, Resulting Numbers: [79, 48]
Generated Node #0,2,2: 84:[79, 48] Operation: 76-28=48
Exploring Operation: 79-76=3, Resulting Numbers: [28, 3]
Generated Node #0,2,3: 84:[28, 3] Operation: 79-76=3
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 84:[28, 3], Operations: ['97-18=79', '79-76=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,84 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[76, 28, 97, 18], Operations: []
Exploring Operation: 97-18=79, Resulting Numbers: [76, 28, 79]
Generated Node #0,2: 84:[76, 28, 79] Operation: 97-18=79
Moving to Node #0,2
Current State: 84:[76, 28, 79], Operations: ['97-18=79']
Exploring Operation: 79-76=3, Resulting Numbers: [28, 3]
Generated Node #0,2,3: 84:[28, 3] Operation: 79-76=3
Moving to Node #0,2,3
Current State: 84:[28, 3], Operations: ['97-18=79', '79-76=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
70,
28,
41,
70
] | 28 | [
"70-70=0",
"41*0=0",
"28+0=28"
] | Current State: 28:[70, 28, 41, 70], Operations: []
Exploring Operation: 70-70=0, Resulting Numbers: [28, 41, 0]
Generated Node #2: [28, 41, 0] from Operation: 70-70=0
Current State: 28:[28, 41, 0], Operations: ['70-70=0']
Exploring Operation: 41*0=0, Resulting Numbers: [28, 0]
Generated Node #3: [28, 0] from Operation: 41*0=0
Current State: 28:[28, 0], Operations: ['70-70=0', '41*0=0']
Exploring Operation: 28+0=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[70, 28, 41, 70], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [70, 28, 29]
Generated Node #0,0: 28:[70, 28, 29] Operation: 70-41=29
Exploring Operation: 70-28=42, Resulting Numbers: [41, 70, 42]
Generated Node #0,1: 28:[41, 70, 42] Operation: 70-28=42
Exploring Operation: 70-41=29, Resulting Numbers: [28, 70, 29]
Generated Node #0,2: 28:[28, 70, 29] Operation: 70-41=29
Exploring Operation: 70-70=0, Resulting Numbers: [28, 41, 0]
Generated Node #0,3: 28:[28, 41, 0] Operation: 70-70=0
Exploring Operation: 70/70=1, Resulting Numbers: [28, 41, 1]
Generated Node #0,4: 28:[28, 41, 1] Operation: 70/70=1
Moving to Node #0,4
Current State: 28:[28, 41, 1], Operations: ['70/70=1']
Exploring Operation: 41-1=40, Resulting Numbers: [28, 40]
Generated Node #0,4,0: 28:[28, 40] Operation: 41-1=40
Exploring Operation: 28*1=28, Resulting Numbers: [41, 28]
Generated Node #0,4,1: 28:[41, 28] Operation: 28*1=28
Exploring Operation: 28/1=28, Resulting Numbers: [41, 28]
Generated Node #0,4,2: 28:[41, 28] Operation: 28/1=28
Exploring Operation: 41-28=13, Resulting Numbers: [1, 13]
Generated Node #0,4,3: 28:[1, 13] Operation: 41-28=13
Exploring Operation: 41*1=41, Resulting Numbers: [28, 41]
Generated Node #0,4,4: 28:[28, 41] Operation: 41*1=41
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 28:[1, 13], Operations: ['70/70=1', '41-28=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,28 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 #0,4,0
Current State: 28:[28, 40], Operations: ['70/70=1', '41-1=40']
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,28 unequal: No Solution
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,28 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 28:[41, 28], Operations: ['70/70=1', '28*1=28']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 41+28=69, Resulting Numbers: [69]
69,28 unequal: No Solution
Exploring Operation: 41*28=1148, Resulting Numbers: [1148]
1148,28 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 #0,4,2
Current State: 28:[41, 28], Operations: ['70/70=1', '28/1=28']
Exploring Operation: 41+28=69, Resulting Numbers: [69]
69,28 unequal: No Solution
Exploring Operation: 41*28=1148, Resulting Numbers: [1148]
1148,28 unequal: No Solution
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,28 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 #0,4,4
Current State: 28:[28, 41], Operations: ['70/70=1', '41*1=41']
Exploring Operation: 28*41=1148, Resulting Numbers: [1148]
1148,28 unequal: No Solution
Exploring Operation: 28+41=69, Resulting Numbers: [69]
69,28 unequal: No Solution
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,28 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: 28:[28, 41, 0], Operations: ['70-70=0']
Exploring Operation: 28+0=28, Resulting Numbers: [41, 28]
Generated Node #0,3,0: 28:[41, 28] Operation: 28+0=28
Exploring Operation: 41*0=0, Resulting Numbers: [28, 0]
Generated Node #0,3,1: 28:[28, 0] Operation: 41*0=0
Exploring Operation: 41-28=13, Resulting Numbers: [0, 13]
Generated Node #0,3,2: 28:[0, 13] Operation: 41-28=13
Exploring Operation: 28-0=28, Resulting Numbers: [41, 28]
Generated Node #0,3,3: 28:[41, 28] Operation: 28-0=28
Exploring Operation: 41+0=41, Resulting Numbers: [28, 41]
Generated Node #0,3,4: 28:[28, 41] Operation: 41+0=41
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 28:[28, 0], Operations: ['70-70=0', '41*0=0']
Exploring Operation: 28-0=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[70, 28, 41, 70], Operations: []
Exploring Operation: 70-70=0, Resulting Numbers: [28, 41, 0]
Generated Node #0,3: 28:[28, 41, 0] Operation: 70-70=0
Moving to Node #0,3
Current State: 28:[28, 41, 0], Operations: ['70-70=0']
Exploring Operation: 41*0=0, Resulting Numbers: [28, 0]
Generated Node #0,3,1: 28:[28, 0] Operation: 41*0=0
Moving to Node #0,3,1
Current State: 28:[28, 0], Operations: ['70-70=0', '41*0=0']
Exploring Operation: 28-0=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
10,
68,
42,
73
] | 47 | [
"10+68=78",
"73-42=31",
"78-31=47"
] | Current State: 47:[10, 68, 42, 73], Operations: []
Exploring Operation: 10+68=78, Resulting Numbers: [42, 73, 78]
Generated Node #2: [42, 73, 78] from Operation: 10+68=78
Current State: 47:[42, 73, 78], Operations: ['10+68=78']
Exploring Operation: 73-42=31, Resulting Numbers: [78, 31]
Generated Node #3: [78, 31] from Operation: 73-42=31
Current State: 47:[78, 31], Operations: ['10+68=78', '73-42=31']
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[10, 68, 42, 73], Operations: []
Exploring Operation: 10+42=52, Resulting Numbers: [68, 73, 52]
Generated Node #0,0: 47:[68, 73, 52] Operation: 10+42=52
Exploring Operation: 73-10=63, Resulting Numbers: [68, 42, 63]
Generated Node #0,1: 47:[68, 42, 63] Operation: 73-10=63
Exploring Operation: 68-10=58, Resulting Numbers: [42, 73, 58]
Generated Node #0,2: 47:[42, 73, 58] Operation: 68-10=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[68, 42, 63], Operations: ['73-10=63']
Exploring Operation: 68-63=5, Resulting Numbers: [42, 5]
Generated Node #0,1,0: 47:[42, 5] Operation: 68-63=5
Exploring Operation: 68-42=26, Resulting Numbers: [63, 26]
Generated Node #0,1,1: 47:[63, 26] Operation: 68-42=26
Exploring Operation: 63-42=21, Resulting Numbers: [68, 21]
Generated Node #0,1,2: 47:[68, 21] Operation: 63-42=21
Moving to Node #0,1,1
Current State: 47:[63, 26], Operations: ['73-10=63', '68-42=26']
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,47 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[42, 5], Operations: ['73-10=63', '68-63=5']
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,47 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[10, 68, 42, 73], Operations: []
Exploring Operation: 73-10=63, Resulting Numbers: [68, 42, 63]
Generated Node #0,1: 47:[68, 42, 63] Operation: 73-10=63
Moving to Node #0,1
Current State: 47:[68, 42, 63], Operations: ['73-10=63']
Exploring Operation: 68-63=5, Resulting Numbers: [42, 5]
Generated Node #0,1,0: 47:[42, 5] Operation: 68-63=5
Moving to Node #0,1,0
Current State: 47:[42, 5], Operations: ['73-10=63', '68-63=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
43,
88,
2,
87
] | 45 | [
"43+2=45",
"88-87=1",
"45*1=45"
] | Current State: 45:[43, 88, 2, 87], Operations: []
Exploring Operation: 43+2=45, Resulting Numbers: [88, 87, 45]
Generated Node #2: [88, 87, 45] from Operation: 43+2=45
Current State: 45:[88, 87, 45], Operations: ['43+2=45']
Exploring Operation: 88-87=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 88-87=1
Current State: 45:[45, 1], Operations: ['43+2=45', '88-87=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[43, 88, 2, 87], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [43, 2, 1]
Generated Node #0,0: 45:[43, 2, 1] Operation: 88-87=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[43, 2, 1], Operations: ['88-87=1']
Exploring Operation: 43+2=45, Resulting Numbers: [1, 45]
Generated Node #0,0,0: 45:[1, 45] Operation: 43+2=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[1, 45], Operations: ['88-87=1', '43+2=45']
Exploring Operation: 1*45=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[43, 88, 2, 87], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [43, 2, 1]
Generated Node #0,0: 45:[43, 2, 1] Operation: 88-87=1
Moving to Node #0,0
Current State: 45:[43, 2, 1], Operations: ['88-87=1']
Exploring Operation: 43+2=45, Resulting Numbers: [1, 45]
Generated Node #0,0,0: 45:[1, 45] Operation: 43+2=45
Moving to Node #0,0,0
Current State: 45:[1, 45], Operations: ['88-87=1', '43+2=45']
Exploring Operation: 1*45=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
2,
67,
52,
80
] | 26 | [
"80-67=13",
"2*13=26",
"52-26=26"
] | Current State: 26:[2, 67, 52, 80], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [2, 52, 13]
Generated Node #2: [2, 52, 13] from Operation: 80-67=13
Current State: 26:[2, 52, 13], Operations: ['80-67=13']
Exploring Operation: 2*13=26, Resulting Numbers: [52, 26]
Generated Node #3: [52, 26] from Operation: 2*13=26
Current State: 26:[52, 26], Operations: ['80-67=13', '2*13=26']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[2, 67, 52, 80], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [2, 52, 13]
Generated Node #0,0: 26:[2, 52, 13] Operation: 80-67=13
Exploring Operation: 67-52=15, Resulting Numbers: [2, 80, 15]
Generated Node #0,1: 26:[2, 80, 15] Operation: 67-52=15
Exploring Operation: 80-52=28, Resulting Numbers: [2, 67, 28]
Generated Node #0,2: 26:[2, 67, 28] Operation: 80-52=28
Exploring Operation: 80/2=40, Resulting Numbers: [67, 52, 40]
Generated Node #0,3: 26:[67, 52, 40] Operation: 80/2=40
Moving to Node #0,0
Current State: 26:[2, 52, 13], Operations: ['80-67=13']
Exploring Operation: 52-2=50, Resulting Numbers: [13, 50]
Generated Node #0,0,0: 26:[13, 50] Operation: 52-2=50
Exploring Operation: 52/2=26, Resulting Numbers: [13, 26]
Generated Node #0,0,1: 26:[13, 26] Operation: 52/2=26
Exploring Operation: 52/13=4, Resulting Numbers: [2, 4]
Generated Node #0,0,2: 26:[2, 4] Operation: 52/13=4
Exploring Operation: 52-13=39, Resulting Numbers: [2, 39]
Generated Node #0,0,3: 26:[2, 39] Operation: 52-13=39
Moving to Node #0,2
Current State: 26:[2, 67, 28], Operations: ['80-52=28']
Exploring Operation: 28/2=14, Resulting Numbers: [67, 14]
Generated Node #0,2,0: 26:[67, 14] Operation: 28/2=14
Exploring Operation: 67-2=65, Resulting Numbers: [28, 65]
Generated Node #0,2,1: 26:[28, 65] Operation: 67-2=65
Exploring Operation: 67-28=39, Resulting Numbers: [2, 39]
Generated Node #0,2,2: 26:[2, 39] Operation: 67-28=39
Exploring Operation: 28-2=26, Resulting Numbers: [67, 26]
Generated Node #0,2,3: 26:[67, 26] Operation: 28-2=26
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 26:[2, 39], Operations: ['80-52=28', '67-28=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 26:[28, 65], Operations: ['80-52=28', '67-2=65']
Exploring Operation: 28*65=1820, Resulting Numbers: [1820]
1820,26 unequal: No Solution
Exploring Operation: 28+65=93, Resulting Numbers: [93]
93,26 unequal: No Solution
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 26:[67, 26], Operations: ['80-52=28', '28-2=26']
Exploring Operation: 67-26=41, Resulting Numbers: [41]
41,26 unequal: No Solution
Exploring Operation: 67*26=1742, Resulting Numbers: [1742]
1742,26 unequal: No Solution
Exploring Operation: 67+26=93, Resulting Numbers: [93]
93,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 26:[67, 14], Operations: ['80-52=28', '28/2=14']
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,26 unequal: No Solution
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,26 unequal: No Solution
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,26 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: 26:[2, 80, 15], Operations: ['67-52=15']
Exploring Operation: 15-2=13, Resulting Numbers: [80, 13]
Generated Node #0,1,0: 26:[80, 13] Operation: 15-2=13
Exploring Operation: 80/2=40, Resulting Numbers: [15, 40]
Generated Node #0,1,1: 26:[15, 40] Operation: 80/2=40
Exploring Operation: 80-15=65, Resulting Numbers: [2, 65]
Generated Node #0,1,2: 26:[2, 65] Operation: 80-15=65
Exploring Operation: 80-2=78, Resulting Numbers: [15, 78]
Generated Node #0,1,3: 26:[15, 78] Operation: 80-2=78
Moving to Node #0,3
Current State: 26:[67, 52, 40], Operations: ['80/2=40']
Exploring Operation: 67+52=119, Resulting Numbers: [40, 119]
Generated Node #0,3,0: 26:[40, 119] Operation: 67+52=119
Exploring Operation: 67-40=27, Resulting Numbers: [52, 27]
Generated Node #0,3,1: 26:[52, 27] Operation: 67-40=27
Exploring Operation: 52-40=12, Resulting Numbers: [67, 12]
Generated Node #0,3,2: 26:[67, 12] Operation: 52-40=12
Exploring Operation: 67-52=15, Resulting Numbers: [40, 15]
Generated Node #0,3,3: 26:[40, 15] Operation: 67-52=15
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 26:[40, 15], Operations: ['80/2=40', '67-52=15']
Exploring Operation: 40+15=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 40*15=600, Resulting Numbers: [600]
600,26 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 26:[52, 27], Operations: ['80/2=40', '67-40=27']
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,26 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,26 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 26:[67, 12], Operations: ['80/2=40', '52-40=12']
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 67*12=804, Resulting Numbers: [804]
804,26 unequal: No Solution
Exploring Operation: 67+12=79, Resulting Numbers: [79]
79,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 26:[40, 119], Operations: ['80/2=40', '67+52=119']
Exploring Operation: 40+119=159, Resulting Numbers: [159]
159,26 unequal: No Solution
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,26 unequal: No Solution
Exploring Operation: 40*119=4760, Resulting Numbers: [4760]
4760,26 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: 26:[13, 26], Operations: ['80-67=13', '52/2=26']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,26 unequal: No Solution
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 13*26=338, Resulting Numbers: [338]
338,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[2, 4], Operations: ['80-67=13', '52/13=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,26 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Moving to Node #0,0,3
Current State: 26:[2, 39], Operations: ['80-67=13', '52-13=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,26 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[15, 40], Operations: ['67-52=15', '80/2=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,26 unequal: No Solution
Exploring Operation: 15*40=600, Resulting Numbers: [600]
600,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[13, 50], Operations: ['80-67=13', '52-2=50']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 13*50=650, Resulting Numbers: [650]
650,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[2, 65], Operations: ['67-52=15', '80-15=65']
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,26 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[80, 13], Operations: ['67-52=15', '15-2=13']
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,26 unequal: No Solution
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,26 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,26 unequal: No Solution
Moving to Node #0,1,3
Current State: 26:[15, 78], Operations: ['67-52=15', '80-2=78']
Exploring Operation: 15*78=1170, Resulting Numbers: [1170]
1170,26 unequal: No Solution
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 15+78=93, Resulting Numbers: [93]
93,26 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
46,
63,
61,
52
] | 12 | [
"52-46=6",
"63-61=2",
"6*2=12"
] | Current State: 12:[46, 63, 61, 52], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [63, 61, 6]
Generated Node #2: [63, 61, 6] from Operation: 52-46=6
Current State: 12:[63, 61, 6], Operations: ['52-46=6']
Exploring Operation: 63-61=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 63-61=2
Current State: 12:[6, 2], Operations: ['52-46=6', '63-61=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[46, 63, 61, 52], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [46, 52, 2]
Generated Node #0,0: 12:[46, 52, 2] Operation: 63-61=2
Exploring Operation: 63-52=11, Resulting Numbers: [46, 61, 11]
Generated Node #0,1: 12:[46, 61, 11] Operation: 63-52=11
Moving to Node #0,0
Current State: 12:[46, 52, 2], Operations: ['63-61=2']
Exploring Operation: 52-46=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 12:[2, 6] Operation: 52-46=6
Exploring Operation: 52/2=26, Resulting Numbers: [46, 26]
Generated Node #0,0,1: 12:[46, 26] Operation: 52/2=26
Moving to Node #0,1
Current State: 12:[46, 61, 11], Operations: ['63-52=11']
Exploring Operation: 46-11=35, Resulting Numbers: [61, 35]
Generated Node #0,1,0: 12:[61, 35] Operation: 46-11=35
Exploring Operation: 61-46=15, Resulting Numbers: [11, 15]
Generated Node #0,1,1: 12:[11, 15] Operation: 61-46=15
Moving to Node #0,0,0
Current State: 12:[2, 6], Operations: ['63-61=2', '52-46=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[46, 63, 61, 52], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [46, 52, 2]
Generated Node #0,0: 12:[46, 52, 2] Operation: 63-61=2
Moving to Node #0,0
Current State: 12:[46, 52, 2], Operations: ['63-61=2']
Exploring Operation: 52-46=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 12:[2, 6] Operation: 52-46=6
Moving to Node #0,0,0
Current State: 12:[2, 6], Operations: ['63-61=2', '52-46=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
95,
39,
49,
48
] | 36 | [
"95+49=144",
"144/48=3",
"39-3=36"
] | Current State: 36:[95, 39, 49, 48], Operations: []
Exploring Operation: 95+49=144, Resulting Numbers: [39, 48, 144]
Generated Node #2: [39, 48, 144] from Operation: 95+49=144
Current State: 36:[39, 48, 144], Operations: ['95+49=144']
Exploring Operation: 144/48=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 144/48=3
Current State: 36:[39, 3], Operations: ['95+49=144', '144/48=3']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[95, 39, 49, 48], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [39, 48, 46]
Generated Node #0,0: 36:[39, 48, 46] Operation: 95-49=46
Moving to Node #0,0
Current State: 36:[39, 48, 46], Operations: ['95-49=46']
Exploring Operation: 48-46=2, Resulting Numbers: [39, 2]
Generated Node #0,0,0: 36:[39, 2] Operation: 48-46=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[39, 2], Operations: ['95-49=46', '48-46=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,36 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 |
[
65,
17,
87,
45
] | 72 | [
"17+87=104",
"45*104=4680",
"4680/65=72"
] | Current State: 72:[65, 17, 87, 45], Operations: []
Exploring Operation: 17+87=104, Resulting Numbers: [65, 45, 104]
Generated Node #2: [65, 45, 104] from Operation: 17+87=104
Current State: 72:[65, 45, 104], Operations: ['17+87=104']
Exploring Operation: 45*104=4680, Resulting Numbers: [65, 4680]
Generated Node #3: [65, 4680] from Operation: 45*104=4680
Current State: 72:[65, 4680], Operations: ['17+87=104', '45*104=4680']
Exploring Operation: 4680/65=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[65, 17, 87, 45], Operations: []
Exploring Operation: 87-65=22, Resulting Numbers: [17, 45, 22]
Generated Node #0,0: 72:[17, 45, 22] Operation: 87-65=22
Exploring Operation: 87-45=42, Resulting Numbers: [65, 17, 42]
Generated Node #0,1: 72:[65, 17, 42] Operation: 87-45=42
Exploring Operation: 65-45=20, Resulting Numbers: [17, 87, 20]
Generated Node #0,2: 72:[17, 87, 20] Operation: 65-45=20
Moving to Node #0,0
Current State: 72:[17, 45, 22], Operations: ['87-65=22']
Exploring Operation: 45-17=28, Resulting Numbers: [22, 28]
Generated Node #0,0,0: 72:[22, 28] Operation: 45-17=28
Exploring Operation: 45+22=67, Resulting Numbers: [17, 67]
Generated Node #0,0,1: 72:[17, 67] Operation: 45+22=67
Exploring Operation: 45-22=23, Resulting Numbers: [17, 23]
Generated Node #0,0,2: 72:[17, 23] Operation: 45-22=23
Moving to Node #0,1
Current State: 72:[65, 17, 42], Operations: ['87-45=42']
Exploring Operation: 42-17=25, Resulting Numbers: [65, 25]
Generated Node #0,1,0: 72:[65, 25] Operation: 42-17=25
Exploring Operation: 65+17=82, Resulting Numbers: [42, 82]
Generated Node #0,1,1: 72:[42, 82] Operation: 65+17=82
Exploring Operation: 65-42=23, Resulting Numbers: [17, 23]
Generated Node #0,1,2: 72:[17, 23] Operation: 65-42=23
Moving to Node #0,2
Current State: 72:[17, 87, 20], Operations: ['65-45=20']
Exploring Operation: 87-20=67, Resulting Numbers: [17, 67]
Generated Node #0,2,0: 72:[17, 67] Operation: 87-20=67
Exploring Operation: 87-17=70, Resulting Numbers: [20, 70]
Generated Node #0,2,1: 72:[20, 70] Operation: 87-17=70
Exploring Operation: 20-17=3, Resulting Numbers: [87, 3]
Generated Node #0,2,2: 72:[87, 3] Operation: 20-17=3
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[20, 70], Operations: ['65-45=20', '87-17=70']
Exploring Operation: 20*70=1400, Resulting Numbers: [1400]
1400,72 unequal: No Solution
Exploring Operation: 20+70=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[17, 67], Operations: ['65-45=20', '87-20=67']
Exploring Operation: 17+67=84, Resulting Numbers: [84]
84,72 unequal: No Solution
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 17*67=1139, Resulting Numbers: [1139]
1139,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[87, 3], Operations: ['65-45=20', '20-17=3']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,72 unequal: No Solution
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 72:[17, 23], Operations: ['87-65=22', '45-22=23']
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 17*23=391, Resulting Numbers: [391]
391,72 unequal: No Solution
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[17, 23], Operations: ['87-45=42', '65-42=23']
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 17*23=391, Resulting Numbers: [391]
391,72 unequal: No Solution
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[17, 67], Operations: ['87-65=22', '45+22=67']
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 17*67=1139, Resulting Numbers: [1139]
1139,72 unequal: No Solution
Exploring Operation: 17+67=84, Resulting Numbers: [84]
84,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[22, 28], Operations: ['87-65=22', '45-17=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,72 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[65, 25], Operations: ['87-45=42', '42-17=25']
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 65*25=1625, Resulting Numbers: [1625]
1625,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[42, 82], Operations: ['87-45=42', '65+17=82']
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 42*82=3444, Resulting Numbers: [3444]
3444,72 unequal: No Solution
Exploring Operation: 42+82=124, Resulting Numbers: [124]
124,72 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
12,
21,
70
] | 51 | [
"14-12=2",
"70-21=49",
"2+49=51"
] | Current State: 51:[14, 12, 21, 70], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [21, 70, 2]
Generated Node #2: [21, 70, 2] from Operation: 14-12=2
Current State: 51:[21, 70, 2], Operations: ['14-12=2']
Exploring Operation: 70-21=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 70-21=49
Current State: 51:[2, 49], Operations: ['14-12=2', '70-21=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[14, 12, 21, 70], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [12, 21, 5]
Generated Node #0,0: 51:[12, 21, 5] Operation: 70/14=5
Exploring Operation: 70-21=49, Resulting Numbers: [14, 12, 49]
Generated Node #0,1: 51:[14, 12, 49] Operation: 70-21=49
Moving to Node #0,1
Current State: 51:[14, 12, 49], Operations: ['70-21=49']
Exploring Operation: 14-12=2, Resulting Numbers: [49, 2]
Generated Node #0,1,0: 51:[49, 2] Operation: 14-12=2
Exploring Operation: 14+12=26, Resulting Numbers: [49, 26]
Generated Node #0,1,1: 51:[49, 26] Operation: 14+12=26
Moving to Node #0,0
Current State: 51:[12, 21, 5], Operations: ['70/14=5']
Exploring Operation: 12+5=17, Resulting Numbers: [21, 17]
Generated Node #0,0,0: 51:[21, 17] Operation: 12+5=17
Exploring Operation: 21-5=16, Resulting Numbers: [12, 16]
Generated Node #0,0,1: 51:[12, 16] Operation: 21-5=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[21, 17], Operations: ['70/14=5', '12+5=17']
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[12, 16], Operations: ['70/14=5', '21-5=16']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,51 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: 51:[49, 2], Operations: ['70-21=49', '14-12=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[14, 12, 21, 70], Operations: []
Exploring Operation: 70-21=49, Resulting Numbers: [14, 12, 49]
Generated Node #0,1: 51:[14, 12, 49] Operation: 70-21=49
Moving to Node #0,1
Current State: 51:[14, 12, 49], Operations: ['70-21=49']
Exploring Operation: 14-12=2, Resulting Numbers: [49, 2]
Generated Node #0,1,0: 51:[49, 2] Operation: 14-12=2
Moving to Node #0,1,0
Current State: 51:[49, 2], Operations: ['70-21=49', '14-12=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
97,
10,
84,
24
] | 27 | [
"97-10=87",
"84-24=60",
"87-60=27"
] | Current State: 27:[97, 10, 84, 24], Operations: []
Exploring Operation: 97-10=87, Resulting Numbers: [84, 24, 87]
Generated Node #2: [84, 24, 87] from Operation: 97-10=87
Current State: 27:[84, 24, 87], Operations: ['97-10=87']
Exploring Operation: 84-24=60, Resulting Numbers: [87, 60]
Generated Node #3: [87, 60] from Operation: 84-24=60
Current State: 27:[87, 60], Operations: ['97-10=87', '84-24=60']
Exploring Operation: 87-60=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[97, 10, 84, 24], Operations: []
Exploring Operation: 97-10=87, Resulting Numbers: [84, 24, 87]
Generated Node #0,0: 27:[84, 24, 87] Operation: 97-10=87
Exploring Operation: 97-24=73, Resulting Numbers: [10, 84, 73]
Generated Node #0,1: 27:[10, 84, 73] Operation: 97-24=73
Exploring Operation: 84-24=60, Resulting Numbers: [97, 10, 60]
Generated Node #0,2: 27:[97, 10, 60] Operation: 84-24=60
Exploring Operation: 97-84=13, Resulting Numbers: [10, 24, 13]
Generated Node #0,3: 27:[10, 24, 13] Operation: 97-84=13
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[10, 24, 13], Operations: ['97-84=13']
Exploring Operation: 24-10=14, Resulting Numbers: [13, 14]
Generated Node #0,3,0: 27:[13, 14] Operation: 24-10=14
Exploring Operation: 10+13=23, Resulting Numbers: [24, 23]
Generated Node #0,3,1: 27:[24, 23] Operation: 10+13=23
Exploring Operation: 24-13=11, Resulting Numbers: [10, 11]
Generated Node #0,3,2: 27:[10, 11] Operation: 24-13=11
Exploring Operation: 13-10=3, Resulting Numbers: [24, 3]
Generated Node #0,3,3: 27:[24, 3] Operation: 13-10=3
Moving to Node #0,3,2
Current State: 27:[10, 11], Operations: ['97-84=13', '24-13=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,27 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Moving to Node #0,3,3
Current State: 27:[24, 3], Operations: ['97-84=13', '13-10=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[97, 10, 84, 24], Operations: []
Exploring Operation: 97-84=13, Resulting Numbers: [10, 24, 13]
Generated Node #0,3: 27:[10, 24, 13] Operation: 97-84=13
Moving to Node #0,3
Current State: 27:[10, 24, 13], Operations: ['97-84=13']
Exploring Operation: 13-10=3, Resulting Numbers: [24, 3]
Generated Node #0,3,3: 27:[24, 3] Operation: 13-10=3
Moving to Node #0,3,3
Current State: 27:[24, 3], Operations: ['97-84=13', '13-10=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
67,
16,
5,
8
] | 43 | [
"67+16=83",
"5*8=40",
"83-40=43"
] | Current State: 43:[67, 16, 5, 8], Operations: []
Exploring Operation: 67+16=83, Resulting Numbers: [5, 8, 83]
Generated Node #2: [5, 8, 83] from Operation: 67+16=83
Current State: 43:[5, 8, 83], Operations: ['67+16=83']
Exploring Operation: 5*8=40, Resulting Numbers: [83, 40]
Generated Node #3: [83, 40] from Operation: 5*8=40
Current State: 43:[83, 40], Operations: ['67+16=83', '5*8=40']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[67, 16, 5, 8], Operations: []
Exploring Operation: 5*8=40, Resulting Numbers: [67, 16, 40]
Generated Node #0,0: 43:[67, 16, 40] Operation: 5*8=40
Moving to Node #0,0
Current State: 43:[67, 16, 40], Operations: ['5*8=40']
Exploring Operation: 67-16=51, Resulting Numbers: [40, 51]
Generated Node #0,0,0: 43:[40, 51] Operation: 67-16=51
Moving to Node #0,0,0
Current State: 43:[40, 51], Operations: ['5*8=40', '67-16=51']
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,43 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
35,
66,
6,
6
] | 67 | [
"66-35=31",
"6*6=36",
"31+36=67"
] | Current State: 67:[35, 66, 6, 6], Operations: []
Exploring Operation: 66-35=31, Resulting Numbers: [6, 6, 31]
Generated Node #2: [6, 6, 31] from Operation: 66-35=31
Current State: 67:[6, 6, 31], Operations: ['66-35=31']
Exploring Operation: 6*6=36, Resulting Numbers: [31, 36]
Generated Node #3: [31, 36] from Operation: 6*6=36
Current State: 67:[31, 36], Operations: ['66-35=31', '6*6=36']
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[35, 66, 6, 6], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [35, 66, 36]
Generated Node #0,0: 67:[35, 66, 36] Operation: 6*6=36
Exploring Operation: 6+6=12, Resulting Numbers: [35, 66, 12]
Generated Node #0,1: 67:[35, 66, 12] Operation: 6+6=12
Exploring Operation: 35+6=41, Resulting Numbers: [66, 6, 41]
Generated Node #0,2: 67:[66, 6, 41] Operation: 35+6=41
Exploring Operation: 35+6=41, Resulting Numbers: [66, 6, 41]
Generated Node #0,3: 67:[66, 6, 41] Operation: 35+6=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[35, 66, 36], Operations: ['6*6=36']
Exploring Operation: 35+66=101, Resulting Numbers: [36, 101]
Generated Node #0,0,0: 67:[36, 101] Operation: 35+66=101
Exploring Operation: 66-35=31, Resulting Numbers: [36, 31]
Generated Node #0,0,1: 67:[36, 31] Operation: 66-35=31
Exploring Operation: 35+36=71, Resulting Numbers: [66, 71]
Generated Node #0,0,2: 67:[66, 71] Operation: 35+36=71
Exploring Operation: 36-35=1, Resulting Numbers: [66, 1]
Generated Node #0,0,3: 67:[66, 1] Operation: 36-35=1
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[66, 71], Operations: ['6*6=36', '35+36=71']
Exploring Operation: 66*71=4686, Resulting Numbers: [4686]
4686,67 unequal: No Solution
Exploring Operation: 71-66=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 66+71=137, Resulting Numbers: [137]
137,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[36, 101], Operations: ['6*6=36', '35+66=101']
Exploring Operation: 36*101=3636, Resulting Numbers: [3636]
3636,67 unequal: No Solution
Exploring Operation: 36+101=137, Resulting Numbers: [137]
137,67 unequal: No Solution
Exploring Operation: 101-36=65, Resulting Numbers: [65]
65,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[36, 31], Operations: ['6*6=36', '66-35=31']
Exploring Operation: 36*31=1116, Resulting Numbers: [1116]
1116,67 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 36+31=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[35, 66, 6, 6], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [35, 66, 36]
Generated Node #0,0: 67:[35, 66, 36] Operation: 6*6=36
Moving to Node #0,0
Current State: 67:[35, 66, 36], Operations: ['6*6=36']
Exploring Operation: 66-35=31, Resulting Numbers: [36, 31]
Generated Node #0,0,1: 67:[36, 31] Operation: 66-35=31
Moving to Node #0,0,1
Current State: 67:[36, 31], Operations: ['6*6=36', '66-35=31']
Exploring Operation: 36+31=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
48,
36,
47,
54
] | 53 | [
"54-48=6",
"36/6=6",
"47+6=53"
] | Current State: 53:[48, 36, 47, 54], Operations: []
Exploring Operation: 54-48=6, Resulting Numbers: [36, 47, 6]
Generated Node #2: [36, 47, 6] from Operation: 54-48=6
Current State: 53:[36, 47, 6], Operations: ['54-48=6']
Exploring Operation: 36/6=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 36/6=6
Current State: 53:[47, 6], Operations: ['54-48=6', '36/6=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[48, 36, 47, 54], Operations: []
Exploring Operation: 36+47=83, Resulting Numbers: [48, 54, 83]
Generated Node #0,0: 53:[48, 54, 83] Operation: 36+47=83
Exploring Operation: 48+36=84, Resulting Numbers: [47, 54, 84]
Generated Node #0,1: 53:[47, 54, 84] Operation: 48+36=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[48, 54, 83], Operations: ['36+47=83']
Exploring Operation: 83-48=35, Resulting Numbers: [54, 35]
Generated Node #0,0,0: 53:[54, 35] Operation: 83-48=35
Exploring Operation: 83-54=29, Resulting Numbers: [48, 29]
Generated Node #0,0,1: 53:[48, 29] Operation: 83-54=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[54, 35], Operations: ['36+47=83', '83-48=35']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 54+35=89, Resulting Numbers: [89]
89,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[48, 29], Operations: ['36+47=83', '83-54=29']
Exploring Operation: 48-29=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 48+29=77, Resulting Numbers: [77]
77,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[47, 54, 84], Operations: ['48+36=84']
Exploring Operation: 84-47=37, Resulting Numbers: [54, 37]
Generated Node #0,1,0: 53:[54, 37] Operation: 84-47=37
Exploring Operation: 84-54=30, Resulting Numbers: [47, 30]
Generated Node #0,1,1: 53:[47, 30] Operation: 84-54=30
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[54, 37], Operations: ['48+36=84', '84-47=37']
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[47, 30], Operations: ['48+36=84', '84-54=30']
Exploring Operation: 47+30=77, Resulting Numbers: [77]
77,53 unequal: No Solution
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,53 unequal: No Solution
No solution found.
Exit Sub Search at level 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 |
[
44,
38,
85,
14
] | 93 | [
"44-38=6",
"85+14=99",
"99-6=93"
] | Current State: 93:[44, 38, 85, 14], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [85, 14, 6]
Generated Node #2: [85, 14, 6] from Operation: 44-38=6
Current State: 93:[85, 14, 6], Operations: ['44-38=6']
Exploring Operation: 85+14=99, Resulting Numbers: [6, 99]
Generated Node #3: [6, 99] from Operation: 85+14=99
Current State: 93:[6, 99], Operations: ['44-38=6', '85+14=99']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[44, 38, 85, 14], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [85, 14, 6]
Generated Node #0,0: 93:[85, 14, 6] Operation: 44-38=6
Exploring Operation: 44-14=30, Resulting Numbers: [38, 85, 30]
Generated Node #0,1: 93:[38, 85, 30] Operation: 44-14=30
Moving to Node #0,1
Current State: 93:[38, 85, 30], Operations: ['44-14=30']
Exploring Operation: 38-30=8, Resulting Numbers: [85, 8]
Generated Node #0,1,0: 93:[85, 8] Operation: 38-30=8
Exploring Operation: 85-38=47, Resulting Numbers: [30, 47]
Generated Node #0,1,1: 93:[30, 47] Operation: 85-38=47
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[85, 8], Operations: ['44-14=30', '38-30=8']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,93 unequal: No Solution
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[44, 38, 85, 14], Operations: []
Exploring Operation: 44-14=30, Resulting Numbers: [38, 85, 30]
Generated Node #0,1: 93:[38, 85, 30] Operation: 44-14=30
Moving to Node #0,1
Current State: 93:[38, 85, 30], Operations: ['44-14=30']
Exploring Operation: 38-30=8, Resulting Numbers: [85, 8]
Generated Node #0,1,0: 93:[85, 8] Operation: 38-30=8
Moving to Node #0,1,0
Current State: 93:[85, 8], Operations: ['44-14=30', '38-30=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
4,
30,
78,
69
] | 57 | [
"78-30=48",
"48/4=12",
"69-12=57"
] | Current State: 57:[4, 30, 78, 69], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [4, 69, 48]
Generated Node #2: [4, 69, 48] from Operation: 78-30=48
Current State: 57:[4, 69, 48], Operations: ['78-30=48']
Exploring Operation: 48/4=12, Resulting Numbers: [69, 12]
Generated Node #3: [69, 12] from Operation: 48/4=12
Current State: 57:[69, 12], Operations: ['78-30=48', '48/4=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[4, 30, 78, 69], Operations: []
Exploring Operation: 78-4=74, Resulting Numbers: [30, 69, 74]
Generated Node #0,0: 57:[30, 69, 74] Operation: 78-4=74
Exploring Operation: 30-4=26, Resulting Numbers: [78, 69, 26]
Generated Node #0,1: 57:[78, 69, 26] Operation: 30-4=26
Exploring Operation: 78-69=9, Resulting Numbers: [4, 30, 9]
Generated Node #0,2: 57:[4, 30, 9] Operation: 78-69=9
Exploring Operation: 78-30=48, Resulting Numbers: [4, 69, 48]
Generated Node #0,3: 57:[4, 69, 48] Operation: 78-30=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 57:[4, 30, 9], Operations: ['78-69=9']
Exploring Operation: 4+9=13, Resulting Numbers: [30, 13]
Generated Node #0,2,0: 57:[30, 13] Operation: 4+9=13
Exploring Operation: 30-4=26, Resulting Numbers: [9, 26]
Generated Node #0,2,1: 57:[9, 26] Operation: 30-4=26
Exploring Operation: 30-9=21, Resulting Numbers: [4, 21]
Generated Node #0,2,2: 57:[4, 21] Operation: 30-9=21
Exploring Operation: 9-4=5, Resulting Numbers: [30, 5]
Generated Node #0,2,3: 57:[30, 5] Operation: 9-4=5
Moving to Node #0,2,2
Current State: 57:[4, 21], Operations: ['78-69=9', '30-9=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Moving to Node #0,2,3
Current State: 57:[30, 5], Operations: ['78-69=9', '9-4=5']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,57 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,57 unequal: No Solution
Moving to Node #0,2,1
Current State: 57:[9, 26], Operations: ['78-69=9', '30-4=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,57 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,57 unequal: No Solution
Moving to Node #0,2,0
Current State: 57:[30, 13], Operations: ['78-69=9', '4+9=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,57 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 57:[4, 69, 48], Operations: ['78-30=48']
Exploring Operation: 4+48=52, Resulting Numbers: [69, 52]
Generated Node #0,3,0: 57:[69, 52] Operation: 4+48=52
Exploring Operation: 48/4=12, Resulting Numbers: [69, 12]
Generated Node #0,3,1: 57:[69, 12] Operation: 48/4=12
Exploring Operation: 69-48=21, Resulting Numbers: [4, 21]
Generated Node #0,3,2: 57:[4, 21] Operation: 69-48=21
Exploring Operation: 69-4=65, Resulting Numbers: [48, 65]
Generated Node #0,3,3: 57:[48, 65] Operation: 69-4=65
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 57:[4, 21], Operations: ['78-30=48', '69-48=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 57:[69, 52], Operations: ['78-30=48', '4+48=52']
Exploring Operation: 69+52=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Exploring Operation: 69*52=3588, Resulting Numbers: [3588]
3588,57 unequal: No Solution
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 57:[48, 65], Operations: ['78-30=48', '69-4=65']
Exploring Operation: 48+65=113, Resulting Numbers: [113]
113,57 unequal: No Solution
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 48*65=3120, Resulting Numbers: [3120]
3120,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 57:[69, 12], Operations: ['78-30=48', '48/4=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[4, 30, 78, 69], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [4, 69, 48]
Generated Node #0,3: 57:[4, 69, 48] Operation: 78-30=48
Moving to Node #0,3
Current State: 57:[4, 69, 48], Operations: ['78-30=48']
Exploring Operation: 48/4=12, Resulting Numbers: [69, 12]
Generated Node #0,3,1: 57:[69, 12] Operation: 48/4=12
Moving to Node #0,3,1
Current State: 57:[69, 12], Operations: ['78-30=48', '48/4=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146 | hs_4 | sum_heuristic |
[
16,
77,
54,
55
] | 98 | [
"16+54=70",
"77*70=5390",
"5390/55=98"
] | Current State: 98:[16, 77, 54, 55], Operations: []
Exploring Operation: 16+54=70, Resulting Numbers: [77, 55, 70]
Generated Node #2: [77, 55, 70] from Operation: 16+54=70
Current State: 98:[77, 55, 70], Operations: ['16+54=70']
Exploring Operation: 77*70=5390, Resulting Numbers: [55, 5390]
Generated Node #3: [55, 5390] from Operation: 77*70=5390
Current State: 98:[55, 5390], Operations: ['16+54=70', '77*70=5390']
Exploring Operation: 5390/55=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[16, 77, 54, 55], Operations: []
Exploring Operation: 77-16=61, Resulting Numbers: [54, 55, 61]
Generated Node #0,0: 98:[54, 55, 61] Operation: 77-16=61
Exploring Operation: 55-54=1, Resulting Numbers: [16, 77, 1]
Generated Node #0,1: 98:[16, 77, 1] Operation: 55-54=1
Exploring Operation: 16+77=93, Resulting Numbers: [54, 55, 93]
Generated Node #0,2: 98:[54, 55, 93] Operation: 16+77=93
Exploring Operation: 77-55=22, Resulting Numbers: [16, 54, 22]
Generated Node #0,3: 98:[16, 54, 22] Operation: 77-55=22
Exploring Operation: 77-54=23, Resulting Numbers: [16, 55, 23]
Generated Node #0,4: 98:[16, 55, 23] Operation: 77-54=23
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[16, 54, 22], Operations: ['77-55=22']
Exploring Operation: 54-22=32, Resulting Numbers: [16, 32]
Generated Node #0,3,0: 98:[16, 32] Operation: 54-22=32
Exploring Operation: 54-16=38, Resulting Numbers: [22, 38]
Generated Node #0,3,1: 98:[22, 38] Operation: 54-16=38
Exploring Operation: 16+22=38, Resulting Numbers: [54, 38]
Generated Node #0,3,2: 98:[54, 38] Operation: 16+22=38
Exploring Operation: 22-16=6, Resulting Numbers: [54, 6]
Generated Node #0,3,3: 98:[54, 6] Operation: 22-16=6
Exploring Operation: 54+22=76, Resulting Numbers: [16, 76]
Generated Node #0,3,4: 98:[16, 76] Operation: 54+22=76
Moving to Node #0,3,3
Current State: 98:[54, 6], Operations: ['77-55=22', '22-16=6']
Exploring Operation: 54*6=324, Resulting Numbers: [324]
324,98 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[54, 38], Operations: ['77-55=22', '16+22=38']
Exploring Operation: 54*38=2052, Resulting Numbers: [2052]
2052,98 unequal: No Solution
Exploring Operation: 54+38=92, Resulting Numbers: [92]
92,98 unequal: No Solution
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[16, 32], Operations: ['77-55=22', '54-22=32']
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,98 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[22, 38], Operations: ['77-55=22', '54-16=38']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 22*38=836, Resulting Numbers: [836]
836,98 unequal: No Solution
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Moving to Node #0,3,4
Current State: 98:[16, 76], Operations: ['77-55=22', '54+22=76']
Exploring Operation: 16*76=1216, Resulting Numbers: [1216]
1216,98 unequal: No Solution
Exploring Operation: 16+76=92, Resulting Numbers: [92]
92,98 unequal: No Solution
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,98 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:[54, 55, 93], Operations: ['16+77=93']
Exploring Operation: 54+93=147, Resulting Numbers: [55, 147]
Generated Node #0,2,0: 98:[55, 147] Operation: 54+93=147
Exploring Operation: 93-54=39, Resulting Numbers: [55, 39]
Generated Node #0,2,1: 98:[55, 39] Operation: 93-54=39
Exploring Operation: 54+55=109, Resulting Numbers: [93, 109]
Generated Node #0,2,2: 98:[93, 109] Operation: 54+55=109
Exploring Operation: 93-55=38, Resulting Numbers: [54, 38]
Generated Node #0,2,3: 98:[54, 38] Operation: 93-55=38
Exploring Operation: 55-54=1, Resulting Numbers: [93, 1]
Generated Node #0,2,4: 98:[93, 1] Operation: 55-54=1
Moving to Node #0,2,4
Current State: 98:[93, 1], Operations: ['16+77=93', '55-54=1']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,98 unequal: No Solution
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,98 unequal: No Solution
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[93, 109], Operations: ['16+77=93', '54+55=109']
Exploring Operation: 109-93=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 93*109=10137, Resulting Numbers: [10137]
10137,98 unequal: No Solution
Exploring Operation: 93+109=202, Resulting Numbers: [202]
202,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[55, 39], Operations: ['16+77=93', '93-54=39']
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 55*39=2145, Resulting Numbers: [2145]
2145,98 unequal: No Solution
Exploring Operation: 55+39=94, Resulting Numbers: [94]
94,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[54, 38], Operations: ['16+77=93', '93-55=38']
Exploring Operation: 54*38=2052, Resulting Numbers: [2052]
2052,98 unequal: No Solution
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 54+38=92, Resulting Numbers: [92]
92,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[55, 147], Operations: ['16+77=93', '54+93=147']
Exploring Operation: 55*147=8085, Resulting Numbers: [8085]
8085,98 unequal: No Solution
Exploring Operation: 55+147=202, Resulting Numbers: [202]
202,98 unequal: No Solution
Exploring Operation: 147-55=92, Resulting Numbers: [92]
92,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 98:[16, 55, 23], Operations: ['77-54=23']
Exploring Operation: 55-23=32, Resulting Numbers: [16, 32]
Generated Node #0,4,0: 98:[16, 32] Operation: 55-23=32
Exploring Operation: 23-16=7, Resulting Numbers: [55, 7]
Generated Node #0,4,1: 98:[55, 7] Operation: 23-16=7
Exploring Operation: 16+23=39, Resulting Numbers: [55, 39]
Generated Node #0,4,2: 98:[55, 39] Operation: 16+23=39
Exploring Operation: 55+23=78, Resulting Numbers: [16, 78]
Generated Node #0,4,3: 98:[16, 78] Operation: 55+23=78
Exploring Operation: 55-16=39, Resulting Numbers: [23, 39]
Generated Node #0,4,4: 98:[23, 39] Operation: 55-16=39
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 98:[55, 7], Operations: ['77-54=23', '23-16=7']
Exploring Operation: 55*7=385, Resulting Numbers: [385]
385,98 unequal: No Solution
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,98 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 #0,4,2
Current State: 98:[55, 39], Operations: ['77-54=23', '16+23=39']
Exploring Operation: 55*39=2145, Resulting Numbers: [2145]
2145,98 unequal: No Solution
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 55+39=94, Resulting Numbers: [94]
94,98 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 #0,4,0
Current State: 98:[16, 32], Operations: ['77-54=23', '55-23=32']
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,98 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 #0,4,4
Current State: 98:[23, 39], Operations: ['77-54=23', '55-16=39']
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,98 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,98 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 #0,4,3
Current State: 98:[16, 78], Operations: ['77-54=23', '55+23=78']
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,98 unequal: No Solution
Exploring Operation: 16+78=94, Resulting Numbers: [94]
94,98 unequal: No Solution
Exploring Operation: 16*78=1248, Resulting Numbers: [1248]
1248,98 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:[54, 55, 61], Operations: ['77-16=61']
Exploring Operation: 55-54=1, Resulting Numbers: [61, 1]
Generated Node #0,0,0: 98:[61, 1] Operation: 55-54=1
Exploring Operation: 61-54=7, Resulting Numbers: [55, 7]
Generated Node #0,0,1: 98:[55, 7] Operation: 61-54=7
Exploring Operation: 61-55=6, Resulting Numbers: [54, 6]
Generated Node #0,0,2: 98:[54, 6] Operation: 61-55=6
Exploring Operation: 54+61=115, Resulting Numbers: [55, 115]
Generated Node #0,0,3: 98:[55, 115] Operation: 54+61=115
Exploring Operation: 54+55=109, Resulting Numbers: [61, 109]
Generated Node #0,0,4: 98:[61, 109] Operation: 54+55=109
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[55, 7], Operations: ['77-16=61', '61-54=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,98 unequal: No Solution
Exploring Operation: 55*7=385, Resulting Numbers: [385]
385,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[54, 6], Operations: ['77-16=61', '61-55=6']
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 54*6=324, Resulting Numbers: [324]
324,98 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[61, 1], Operations: ['77-16=61', '55-54=1']
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 98:[55, 115], Operations: ['77-16=61', '54+61=115']
Exploring Operation: 115-55=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 55*115=6325, Resulting Numbers: [6325]
6325,98 unequal: No Solution
Exploring Operation: 55+115=170, Resulting Numbers: [170]
170,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 98:[61, 109], Operations: ['77-16=61', '54+55=109']
Exploring Operation: 61*109=6649, Resulting Numbers: [6649]
6649,98 unequal: No Solution
Exploring Operation: 61+109=170, Resulting Numbers: [170]
170,98 unequal: No Solution
Exploring Operation: 109-61=48, Resulting Numbers: [48]
48,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[16, 77, 1], Operations: ['55-54=1']
Exploring Operation: 77-16=61, Resulting Numbers: [1, 61]
Generated Node #0,1,0: 98:[1, 61] Operation: 77-16=61
Exploring Operation: 77+1=78, Resulting Numbers: [16, 78]
Generated Node #0,1,1: 98:[16, 78] Operation: 77+1=78
Exploring Operation: 16-1=15, Resulting Numbers: [77, 15]
Generated Node #0,1,2: 98:[77, 15] Operation: 16-1=15
Exploring Operation: 16+77=93, Resulting Numbers: [1, 93]
Generated Node #0,1,3: 98:[1, 93] Operation: 16+77=93
Exploring Operation: 16*1=16, Resulting Numbers: [77, 16]
Generated Node #0,1,4: 98:[77, 16] Operation: 16*1=16
Moving to Node #0,1,3
Current State: 98:[1, 93], Operations: ['55-54=1', '16+77=93']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 1+93=94, Resulting Numbers: [94]
94,98 unequal: No Solution
Exploring Operation: 1*93=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[1, 61], Operations: ['55-54=1', '77-16=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 1+61=62, Resulting Numbers: [62]
62,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[16, 78], Operations: ['55-54=1', '77+1=78']
Exploring Operation: 16+78=94, Resulting Numbers: [94]
94,98 unequal: No Solution
Exploring Operation: 16*78=1248, Resulting Numbers: [1248]
1248,98 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[77, 15], Operations: ['55-54=1', '16-1=15']
Exploring Operation: 77+15=92, Resulting Numbers: [92]
92,98 unequal: No Solution
Exploring Operation: 77*15=1155, Resulting Numbers: [1155]
1155,98 unequal: No Solution
Exploring Operation: 77-15=62, Resulting Numbers: [62]
62,98 unequal: No Solution
Moving to Node #0,1,4
Current State: 98:[77, 16], Operations: ['55-54=1', '16*1=16']
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 77*16=1232, Resulting Numbers: [1232]
1232,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
8,
96,
11,
57
] | 75 | [
"8*96=768",
"57+768=825",
"825/11=75"
] | Current State: 75:[8, 96, 11, 57], Operations: []
Exploring Operation: 8*96=768, Resulting Numbers: [11, 57, 768]
Generated Node #2: [11, 57, 768] from Operation: 8*96=768
Current State: 75:[11, 57, 768], Operations: ['8*96=768']
Exploring Operation: 57+768=825, Resulting Numbers: [11, 825]
Generated Node #3: [11, 825] from Operation: 57+768=825
Current State: 75:[11, 825], Operations: ['8*96=768', '57+768=825']
Exploring Operation: 825/11=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[8, 96, 11, 57], Operations: []
Exploring Operation: 96-11=85, Resulting Numbers: [8, 57, 85]
Generated Node #0,0: 75:[8, 57, 85] Operation: 96-11=85
Exploring Operation: 96-57=39, Resulting Numbers: [8, 11, 39]
Generated Node #0,1: 75:[8, 11, 39] Operation: 96-57=39
Exploring Operation: 96-8=88, Resulting Numbers: [11, 57, 88]
Generated Node #0,2: 75:[11, 57, 88] Operation: 96-8=88
Exploring Operation: 11+57=68, Resulting Numbers: [8, 96, 68]
Generated Node #0,3: 75:[8, 96, 68] Operation: 11+57=68
Exploring Operation: 96/8=12, Resulting Numbers: [11, 57, 12]
Generated Node #0,4: 75:[11, 57, 12] Operation: 96/8=12
Moving to Node #0,1
Current State: 75:[8, 11, 39], Operations: ['96-57=39']
Exploring Operation: 39-8=31, Resulting Numbers: [11, 31]
Generated Node #0,1,0: 75:[11, 31] Operation: 39-8=31
Exploring Operation: 11-8=3, Resulting Numbers: [39, 3]
Generated Node #0,1,1: 75:[39, 3] Operation: 11-8=3
Exploring Operation: 39-11=28, Resulting Numbers: [8, 28]
Generated Node #0,1,2: 75:[8, 28] Operation: 39-11=28
Exploring Operation: 8+11=19, Resulting Numbers: [39, 19]
Generated Node #0,1,3: 75:[39, 19] Operation: 8+11=19
Exploring Operation: 8+39=47, Resulting Numbers: [11, 47]
Generated Node #0,1,4: 75:[11, 47] Operation: 8+39=47
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 75:[8, 28], Operations: ['96-57=39', '39-11=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[11, 31], Operations: ['96-57=39', '39-8=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 11*31=341, Resulting Numbers: [341]
341,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[39, 3], Operations: ['96-57=39', '11-8=3']
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,75 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 75:[39, 19], Operations: ['96-57=39', '8+11=19']
Exploring Operation: 39*19=741, Resulting Numbers: [741]
741,75 unequal: No Solution
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 75:[11, 47], Operations: ['96-57=39', '8+39=47']
Exploring Operation: 11*47=517, Resulting Numbers: [517]
517,75 unequal: No Solution
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,75 unequal: No Solution
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,75 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: 75:[11, 57, 12], Operations: ['96/8=12']
Exploring Operation: 57+12=69, Resulting Numbers: [11, 69]
Generated Node #0,4,0: 75:[11, 69] Operation: 57+12=69
Exploring Operation: 12-11=1, Resulting Numbers: [57, 1]
Generated Node #0,4,1: 75:[57, 1] Operation: 12-11=1
Exploring Operation: 11+57=68, Resulting Numbers: [12, 68]
Generated Node #0,4,2: 75:[12, 68] Operation: 11+57=68
Exploring Operation: 57-11=46, Resulting Numbers: [12, 46]
Generated Node #0,4,3: 75:[12, 46] Operation: 57-11=46
Exploring Operation: 11+12=23, Resulting Numbers: [57, 23]
Generated Node #0,4,4: 75:[57, 23] Operation: 11+12=23
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 75:[11, 69], Operations: ['96/8=12', '57+12=69']
Exploring Operation: 11+69=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,75 unequal: No Solution
Exploring Operation: 11*69=759, Resulting Numbers: [759]
759,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 75:[12, 68], Operations: ['96/8=12', '11+57=68']
Exploring Operation: 12*68=816, Resulting Numbers: [816]
816,75 unequal: No Solution
Exploring Operation: 12+68=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 75:[57, 1], Operations: ['96/8=12', '12-11=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,75 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 75:[57, 23], Operations: ['96/8=12', '11+12=23']
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 75:[12, 46], Operations: ['96/8=12', '57-11=46']
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,75 unequal: No Solution
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,75 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,75 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: 75:[8, 57, 85], Operations: ['96-11=85']
Exploring Operation: 8+85=93, Resulting Numbers: [57, 93]
Generated Node #0,0,0: 75:[57, 93] Operation: 8+85=93
Exploring Operation: 85-8=77, Resulting Numbers: [57, 77]
Generated Node #0,0,1: 75:[57, 77] Operation: 85-8=77
Exploring Operation: 8+57=65, Resulting Numbers: [85, 65]
Generated Node #0,0,2: 75:[85, 65] Operation: 8+57=65
Exploring Operation: 57-8=49, Resulting Numbers: [85, 49]
Generated Node #0,0,3: 75:[85, 49] Operation: 57-8=49
Exploring Operation: 85-57=28, Resulting Numbers: [8, 28]
Generated Node #0,0,4: 75:[8, 28] Operation: 85-57=28
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 75:[8, 28], Operations: ['96-11=85', '85-57=28']
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,75 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[57, 77], Operations: ['96-11=85', '85-8=77']
Exploring Operation: 57*77=4389, Resulting Numbers: [4389]
4389,75 unequal: No Solution
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 57+77=134, Resulting Numbers: [134]
134,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 75:[85, 65], Operations: ['96-11=85', '8+57=65']
Exploring Operation: 85+65=150, Resulting Numbers: [150]
150,75 unequal: No Solution
Exploring Operation: 85*65=5525, Resulting Numbers: [5525]
5525,75 unequal: No Solution
Exploring Operation: 85-65=20, Resulting Numbers: [20]
20,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 75:[85, 49], Operations: ['96-11=85', '57-8=49']
Exploring Operation: 85*49=4165, Resulting Numbers: [4165]
4165,75 unequal: No Solution
Exploring Operation: 85-49=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 85+49=134, Resulting Numbers: [134]
134,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[57, 93], Operations: ['96-11=85', '8+85=93']
Exploring Operation: 57*93=5301, Resulting Numbers: [5301]
5301,75 unequal: No Solution
Exploring Operation: 57+93=150, Resulting Numbers: [150]
150,75 unequal: No Solution
Exploring Operation: 93-57=36, Resulting Numbers: [36]
36,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 75:[8, 96, 68], Operations: ['11+57=68']
Exploring Operation: 96/8=12, Resulting Numbers: [68, 12]
Generated Node #0,3,0: 75:[68, 12] Operation: 96/8=12
Exploring Operation: 96-68=28, Resulting Numbers: [8, 28]
Generated Node #0,3,1: 75:[8, 28] Operation: 96-68=28
Exploring Operation: 8+96=104, Resulting Numbers: [68, 104]
Generated Node #0,3,2: 75:[68, 104] Operation: 8+96=104
Exploring Operation: 96-8=88, Resulting Numbers: [68, 88]
Generated Node #0,3,3: 75:[68, 88] Operation: 96-8=88
Exploring Operation: 8+68=76, Resulting Numbers: [96, 76]
Generated Node #0,3,4: 75:[96, 76] Operation: 8+68=76
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 75:[8, 28], Operations: ['11+57=68', '96-68=28']
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,75 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 75:[68, 12], Operations: ['11+57=68', '96/8=12']
Exploring Operation: 68+12=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,75 unequal: No Solution
Exploring Operation: 68*12=816, Resulting Numbers: [816]
816,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 75:[68, 88], Operations: ['11+57=68', '96-8=88']
Exploring Operation: 88-68=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 68+88=156, Resulting Numbers: [156]
156,75 unequal: No Solution
Exploring Operation: 68*88=5984, Resulting Numbers: [5984]
5984,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 75:[96, 76], Operations: ['11+57=68', '8+68=76']
Exploring Operation: 96+76=172, Resulting Numbers: [172]
172,75 unequal: No Solution
Exploring Operation: 96-76=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 96*76=7296, Resulting Numbers: [7296]
7296,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 75:[68, 104], Operations: ['11+57=68', '8+96=104']
Exploring Operation: 104-68=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 68+104=172, Resulting Numbers: [172]
172,75 unequal: No Solution
Exploring Operation: 68*104=7072, Resulting Numbers: [7072]
7072,75 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: 75:[11, 57, 88], Operations: ['96-8=88']
Exploring Operation: 11+57=68, Resulting Numbers: [88, 68]
Generated Node #0,2,0: 75:[88, 68] Operation: 11+57=68
Exploring Operation: 57-11=46, Resulting Numbers: [88, 46]
Generated Node #0,2,1: 75:[88, 46] Operation: 57-11=46
Exploring Operation: 88-11=77, Resulting Numbers: [57, 77]
Generated Node #0,2,2: 75:[57, 77] Operation: 88-11=77
Exploring Operation: 88/11=8, Resulting Numbers: [57, 8]
Generated Node #0,2,3: 75:[57, 8] Operation: 88/11=8
Exploring Operation: 88-57=31, Resulting Numbers: [11, 31]
Generated Node #0,2,4: 75:[11, 31] Operation: 88-57=31
Moving to Node #0,2,4
Current State: 75:[11, 31], Operations: ['96-8=88', '88-57=31']
Exploring Operation: 11*31=341, Resulting Numbers: [341]
341,75 unequal: No Solution
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[57, 77], Operations: ['96-8=88', '88-11=77']
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 57+77=134, Resulting Numbers: [134]
134,75 unequal: No Solution
Exploring Operation: 57*77=4389, Resulting Numbers: [4389]
4389,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[88, 68], Operations: ['96-8=88', '11+57=68']
Exploring Operation: 88*68=5984, Resulting Numbers: [5984]
5984,75 unequal: No Solution
Exploring Operation: 88+68=156, Resulting Numbers: [156]
156,75 unequal: No Solution
Exploring Operation: 88-68=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Moving to Node #0,2,3
Current State: 75:[57, 8], Operations: ['96-8=88', '88/11=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,75 unequal: No Solution
Exploring Operation: 57*8=456, Resulting Numbers: [456]
456,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[88, 46], Operations: ['96-8=88', '57-11=46']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 88+46=134, Resulting Numbers: [134]
134,75 unequal: No Solution
Exploring Operation: 88*46=4048, Resulting Numbers: [4048]
4048,75 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
22,
66,
35,
58
] | 21 | [
"66-22=44",
"58-35=23",
"44-23=21"
] | Current State: 21:[22, 66, 35, 58], Operations: []
Exploring Operation: 66-22=44, Resulting Numbers: [35, 58, 44]
Generated Node #2: [35, 58, 44] from Operation: 66-22=44
Current State: 21:[35, 58, 44], Operations: ['66-22=44']
Exploring Operation: 58-35=23, Resulting Numbers: [44, 23]
Generated Node #3: [44, 23] from Operation: 58-35=23
Current State: 21:[44, 23], Operations: ['66-22=44', '58-35=23']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[22, 66, 35, 58], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [35, 58, 3]
Generated Node #0,0: 21:[35, 58, 3] Operation: 66/22=3
Exploring Operation: 66-58=8, Resulting Numbers: [22, 35, 8]
Generated Node #0,1: 21:[22, 35, 8] Operation: 66-58=8
Exploring Operation: 66-35=31, Resulting Numbers: [22, 58, 31]
Generated Node #0,2: 21:[22, 58, 31] Operation: 66-35=31
Exploring Operation: 58-35=23, Resulting Numbers: [22, 66, 23]
Generated Node #0,3: 21:[22, 66, 23] Operation: 58-35=23
Moving to Node #0,1
Current State: 21:[22, 35, 8], Operations: ['66-58=8']
Exploring Operation: 35-8=27, Resulting Numbers: [22, 27]
Generated Node #0,1,0: 21:[22, 27] Operation: 35-8=27
Exploring Operation: 22+8=30, Resulting Numbers: [35, 30]
Generated Node #0,1,1: 21:[35, 30] Operation: 22+8=30
Exploring Operation: 35-22=13, Resulting Numbers: [8, 13]
Generated Node #0,1,2: 21:[8, 13] Operation: 35-22=13
Exploring Operation: 22-8=14, Resulting Numbers: [35, 14]
Generated Node #0,1,3: 21:[35, 14] Operation: 22-8=14
Moving to Node #0,3
Current State: 21:[22, 66, 23], Operations: ['58-35=23']
Exploring Operation: 66-22=44, Resulting Numbers: [23, 44]
Generated Node #0,3,0: 21:[23, 44] Operation: 66-22=44
Exploring Operation: 66/22=3, Resulting Numbers: [23, 3]
Generated Node #0,3,1: 21:[23, 3] Operation: 66/22=3
Exploring Operation: 66-23=43, Resulting Numbers: [22, 43]
Generated Node #0,3,2: 21:[22, 43] Operation: 66-23=43
Exploring Operation: 23-22=1, Resulting Numbers: [66, 1]
Generated Node #0,3,3: 21:[66, 1] Operation: 23-22=1
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 21:[23, 3], Operations: ['58-35=23', '66/22=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,21 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,21 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 #0,3,2
Current State: 21:[22, 43], Operations: ['58-35=23', '66-23=43']
Exploring Operation: 22+43=65, Resulting Numbers: [65]
65,21 unequal: No Solution
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[22, 66, 35, 58], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [22, 66, 23]
Generated Node #0,3: 21:[22, 66, 23] Operation: 58-35=23
Moving to Node #0,3
Current State: 21:[22, 66, 23], Operations: ['58-35=23']
Exploring Operation: 66-23=43, Resulting Numbers: [22, 43]
Generated Node #0,3,2: 21:[22, 43] Operation: 66-23=43
Moving to Node #0,3,2
Current State: 21:[22, 43], Operations: ['58-35=23', '66-23=43']
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
19,
21,
69,
88
] | 50 | [
"21-19=2",
"69*2=138",
"138-88=50"
] | Current State: 50:[19, 21, 69, 88], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [69, 88, 2]
Generated Node #2: [69, 88, 2] from Operation: 21-19=2
Current State: 50:[69, 88, 2], Operations: ['21-19=2']
Exploring Operation: 69*2=138, Resulting Numbers: [88, 138]
Generated Node #3: [88, 138] from Operation: 69*2=138
Current State: 50:[88, 138], Operations: ['21-19=2', '69*2=138']
Exploring Operation: 138-88=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[19, 21, 69, 88], Operations: []
Exploring Operation: 69-19=50, Resulting Numbers: [21, 88, 50]
Generated Node #0,0: 50:[21, 88, 50] Operation: 69-19=50
Exploring Operation: 88-69=19, Resulting Numbers: [19, 21, 19]
Generated Node #0,1: 50:[19, 21, 19] Operation: 88-69=19
Exploring Operation: 88-19=69, Resulting Numbers: [21, 69, 69]
Generated Node #0,2: 50:[21, 69, 69] Operation: 88-19=69
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[19, 21, 19], Operations: ['88-69=19']
Exploring Operation: 19-19=0, Resulting Numbers: [21, 0]
Generated Node #0,1,0: 50:[21, 0] Operation: 19-19=0
Exploring Operation: 21-19=2, Resulting Numbers: [19, 2]
Generated Node #0,1,1: 50:[19, 2] Operation: 21-19=2
Exploring Operation: 19/19=1, Resulting Numbers: [21, 1]
Generated Node #0,1,2: 50:[21, 1] Operation: 19/19=1
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 50:[21, 1], Operations: ['88-69=19', '19/19=1']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,50 unequal: No Solution
No 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: 50:[21, 0], Operations: ['88-69=19', '19-19=0']
Exploring Operation: 21*0=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 21-0=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No 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: 50:[19, 2], Operations: ['88-69=19', '21-19=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,50 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: 50:[21, 88, 50], Operations: ['69-19=50']
Exploring Operation: 88-50=38, Resulting Numbers: [21, 38]
Generated Node #0,0,0: 50:[21, 38] Operation: 88-50=38
Exploring Operation: 50-21=29, Resulting Numbers: [88, 29]
Generated Node #0,0,1: 50:[88, 29] Operation: 50-21=29
Exploring Operation: 88-21=67, Resulting Numbers: [50, 67]
Generated Node #0,0,2: 50:[50, 67] Operation: 88-21=67
Moving to Node #0,0,0
Current State: 50:[21, 38], Operations: ['69-19=50', '88-50=38']
Exploring Operation: 21*38=798, Resulting Numbers: [798]
798,50 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 21+38=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[50, 67], Operations: ['69-19=50', '88-21=67']
Exploring Operation: 50+67=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 67-50=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 50*67=3350, Resulting Numbers: [3350]
3350,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[88, 29], Operations: ['69-19=50', '50-21=29']
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 88*29=2552, Resulting Numbers: [2552]
2552,50 unequal: No Solution
Exploring Operation: 88+29=117, Resulting Numbers: [117]
117,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[21, 69, 69], Operations: ['88-19=69']
Exploring Operation: 69-69=0, Resulting Numbers: [21, 0]
Generated Node #0,2,0: 50:[21, 0] Operation: 69-69=0
Exploring Operation: 69-21=48, Resulting Numbers: [69, 48]
Generated Node #0,2,1: 50:[69, 48] Operation: 69-21=48
Exploring Operation: 69/69=1, Resulting Numbers: [21, 1]
Generated Node #0,2,2: 50:[21, 1] Operation: 69/69=1
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 50:[21, 1], Operations: ['88-19=69', '69/69=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No 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: 50:[21, 0], Operations: ['88-19=69', '69-69=0']
Exploring Operation: 21*0=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 21-0=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No 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: 50:[69, 48], Operations: ['88-19=69', '69-21=48']
Exploring Operation: 69+48=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 69*48=3312, Resulting Numbers: [3312]
3312,50 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
18,
29,
50,
53
] | 23 | [
"53-50=3",
"18/3=6",
"29-6=23"
] | Current State: 23:[18, 29, 50, 53], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [18, 29, 3]
Generated Node #2: [18, 29, 3] from Operation: 53-50=3
Current State: 23:[18, 29, 3], Operations: ['53-50=3']
Exploring Operation: 18/3=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 18/3=6
Current State: 23:[29, 6], Operations: ['53-50=3', '18/3=6']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[18, 29, 50, 53], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [18, 29, 3]
Generated Node #0,0: 23:[18, 29, 3] Operation: 53-50=3
Exploring Operation: 53-29=24, Resulting Numbers: [18, 50, 24]
Generated Node #0,1: 23:[18, 50, 24] Operation: 53-29=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[18, 29, 3], Operations: ['53-50=3']
Exploring Operation: 18+3=21, Resulting Numbers: [29, 21]
Generated Node #0,0,0: 23:[29, 21] Operation: 18+3=21
Exploring Operation: 29-3=26, Resulting Numbers: [18, 26]
Generated Node #0,0,1: 23:[18, 26] Operation: 29-3=26
Moving to Node #0,0,0
Current State: 23:[29, 21], Operations: ['53-50=3', '18+3=21']
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[18, 26], Operations: ['53-50=3', '29-3=26']
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,23 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
Current State: 23:[18, 50, 24], Operations: ['53-29=24']
Exploring Operation: 50-24=26, Resulting Numbers: [18, 26]
Generated Node #0,1,0: 23:[18, 26] Operation: 50-24=26
Exploring Operation: 50-18=32, Resulting Numbers: [24, 32]
Generated Node #0,1,1: 23:[24, 32] Operation: 50-18=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 23:[18, 26], Operations: ['53-29=24', '50-24=26']
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 23:[24, 32], Operations: ['53-29=24', '50-18=32']
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
67,
19,
72,
98
] | 60 | [
"67+19=86",
"98-72=26",
"86-26=60"
] | Current State: 60:[67, 19, 72, 98], Operations: []
Exploring Operation: 67+19=86, Resulting Numbers: [72, 98, 86]
Generated Node #2: [72, 98, 86] from Operation: 67+19=86
Current State: 60:[72, 98, 86], Operations: ['67+19=86']
Exploring Operation: 98-72=26, Resulting Numbers: [86, 26]
Generated Node #3: [86, 26] from Operation: 98-72=26
Current State: 60:[86, 26], Operations: ['67+19=86', '98-72=26']
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[67, 19, 72, 98], Operations: []
Exploring Operation: 98-72=26, Resulting Numbers: [67, 19, 26]
Generated Node #0,0: 60:[67, 19, 26] Operation: 98-72=26
Exploring Operation: 98-67=31, Resulting Numbers: [19, 72, 31]
Generated Node #0,1: 60:[19, 72, 31] Operation: 98-67=31
Moving to Node #0,0
Current State: 60:[67, 19, 26], Operations: ['98-72=26']
Exploring Operation: 67-26=41, Resulting Numbers: [19, 41]
Generated Node #0,0,0: 60:[19, 41] Operation: 67-26=41
Exploring Operation: 26-19=7, Resulting Numbers: [67, 7]
Generated Node #0,0,1: 60:[67, 7] Operation: 26-19=7
Moving to Node #0,1
Current State: 60:[19, 72, 31], Operations: ['98-67=31']
Exploring Operation: 72-19=53, Resulting Numbers: [31, 53]
Generated Node #0,1,0: 60:[31, 53] Operation: 72-19=53
Exploring Operation: 31-19=12, Resulting Numbers: [72, 12]
Generated Node #0,1,1: 60:[72, 12] Operation: 31-19=12
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[31, 53], Operations: ['98-67=31', '72-19=53']
Exploring Operation: 31+53=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[72, 12], Operations: ['98-67=31', '31-19=12']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[67, 19, 72, 98], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [19, 72, 31]
Generated Node #0,1: 60:[19, 72, 31] Operation: 98-67=31
Moving to Node #0,1
Current State: 60:[19, 72, 31], Operations: ['98-67=31']
Exploring Operation: 31-19=12, Resulting Numbers: [72, 12]
Generated Node #0,1,1: 60:[72, 12] Operation: 31-19=12
Moving to Node #0,1,1
Current State: 60:[72, 12], Operations: ['98-67=31', '31-19=12']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_2 | sum_heuristic |
[
88,
33,
15,
26
] | 85 | [
"26-15=11",
"33/11=3",
"88-3=85"
] | Current State: 85:[88, 33, 15, 26], Operations: []
Exploring Operation: 26-15=11, Resulting Numbers: [88, 33, 11]
Generated Node #2: [88, 33, 11] from Operation: 26-15=11
Current State: 85:[88, 33, 11], Operations: ['26-15=11']
Exploring Operation: 33/11=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 33/11=3
Current State: 85:[88, 3], Operations: ['26-15=11', '33/11=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[88, 33, 15, 26], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [88, 26, 18]
Generated Node #0,0: 85:[88, 26, 18] Operation: 33-15=18
Exploring Operation: 26-15=11, Resulting Numbers: [88, 33, 11]
Generated Node #0,1: 85:[88, 33, 11] Operation: 26-15=11
Exploring Operation: 88-15=73, Resulting Numbers: [33, 26, 73]
Generated Node #0,2: 85:[33, 26, 73] Operation: 88-15=73
Exploring Operation: 33+26=59, Resulting Numbers: [88, 15, 59]
Generated Node #0,3: 85:[88, 15, 59] Operation: 33+26=59
Exploring Operation: 33-26=7, Resulting Numbers: [88, 15, 7]
Generated Node #0,4: 85:[88, 15, 7] Operation: 33-26=7
Moving to Node #0,4
Current State: 85:[88, 15, 7], Operations: ['33-26=7']
Exploring Operation: 88-7=81, Resulting Numbers: [15, 81]
Generated Node #0,4,0: 85:[15, 81] Operation: 88-7=81
Exploring Operation: 88+7=95, Resulting Numbers: [15, 95]
Generated Node #0,4,1: 85:[15, 95] Operation: 88+7=95
Exploring Operation: 15-7=8, Resulting Numbers: [88, 8]
Generated Node #0,4,2: 85:[88, 8] Operation: 15-7=8
Exploring Operation: 15+7=22, Resulting Numbers: [88, 22]
Generated Node #0,4,3: 85:[88, 22] Operation: 15+7=22
Exploring Operation: 88-15=73, Resulting Numbers: [7, 73]
Generated Node #0,4,4: 85:[7, 73] Operation: 88-15=73
Moving to Node #0,0
Current State: 85:[88, 26, 18], Operations: ['33-15=18']
Exploring Operation: 88+18=106, Resulting Numbers: [26, 106]
Generated Node #0,0,0: 85:[26, 106] Operation: 88+18=106
Exploring Operation: 26-18=8, Resulting Numbers: [88, 8]
Generated Node #0,0,1: 85:[88, 8] Operation: 26-18=8
Exploring Operation: 88+26=114, Resulting Numbers: [18, 114]
Generated Node #0,0,2: 85:[18, 114] Operation: 88+26=114
Exploring Operation: 88-26=62, Resulting Numbers: [18, 62]
Generated Node #0,0,3: 85:[18, 62] Operation: 88-26=62
Exploring Operation: 88-18=70, Resulting Numbers: [26, 70]
Generated Node #0,0,4: 85:[26, 70] Operation: 88-18=70
Moving to Node #0,1
Current State: 85:[88, 33, 11], Operations: ['26-15=11']
Exploring Operation: 33-11=22, Resulting Numbers: [88, 22]
Generated Node #0,1,0: 85:[88, 22] Operation: 33-11=22
Exploring Operation: 88-11=77, Resulting Numbers: [33, 77]
Generated Node #0,1,1: 85:[33, 77] Operation: 88-11=77
Exploring Operation: 88+11=99, Resulting Numbers: [33, 99]
Generated Node #0,1,2: 85:[33, 99] Operation: 88+11=99
Exploring Operation: 88/11=8, Resulting Numbers: [33, 8]
Generated Node #0,1,3: 85:[33, 8] Operation: 88/11=8
Exploring Operation: 33/11=3, Resulting Numbers: [88, 3]
Generated Node #0,1,4: 85:[88, 3] Operation: 33/11=3
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 85:[88, 3], Operations: ['26-15=11', '33/11=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[88, 33, 15, 26], Operations: []
Exploring Operation: 26-15=11, Resulting Numbers: [88, 33, 11]
Generated Node #0,1: 85:[88, 33, 11] Operation: 26-15=11
Moving to Node #0,1
Current State: 85:[88, 33, 11], Operations: ['26-15=11']
Exploring Operation: 33/11=3, Resulting Numbers: [88, 3]
Generated Node #0,1,4: 85:[88, 3] Operation: 33/11=3
Moving to Node #0,1,4
Current State: 85:[88, 3], Operations: ['26-15=11', '33/11=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
34,
31,
33,
50
] | 20 | [
"34-31=3",
"50-33=17",
"3+17=20"
] | Current State: 20:[34, 31, 33, 50], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [33, 50, 3]
Generated Node #2: [33, 50, 3] from Operation: 34-31=3
Current State: 20:[33, 50, 3], Operations: ['34-31=3']
Exploring Operation: 50-33=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 50-33=17
Current State: 20:[3, 17], Operations: ['34-31=3', '50-33=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[34, 31, 33, 50], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [34, 33, 19]
Generated Node #0,0: 20:[34, 33, 19] Operation: 50-31=19
Exploring Operation: 50-34=16, Resulting Numbers: [31, 33, 16]
Generated Node #0,1: 20:[31, 33, 16] Operation: 50-34=16
Exploring Operation: 50-33=17, Resulting Numbers: [34, 31, 17]
Generated Node #0,2: 20:[34, 31, 17] Operation: 50-33=17
Moving to Node #0,0
Current State: 20:[34, 33, 19], Operations: ['50-31=19']
Exploring Operation: 34-33=1, Resulting Numbers: [19, 1]
Generated Node #0,0,0: 20:[19, 1] Operation: 34-33=1
Exploring Operation: 34-19=15, Resulting Numbers: [33, 15]
Generated Node #0,0,1: 20:[33, 15] Operation: 34-19=15
Exploring Operation: 33-19=14, Resulting Numbers: [34, 14]
Generated Node #0,0,2: 20:[34, 14] Operation: 33-19=14
Moving to Node #0,1
Current State: 20:[31, 33, 16], Operations: ['50-34=16']
Exploring Operation: 31-16=15, Resulting Numbers: [33, 15]
Generated Node #0,1,0: 20:[33, 15] Operation: 31-16=15
Exploring Operation: 33-31=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 20:[16, 2] Operation: 33-31=2
Exploring Operation: 33-16=17, Resulting Numbers: [31, 17]
Generated Node #0,1,2: 20:[31, 17] Operation: 33-16=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 20:[16, 2], Operations: ['50-34=16', '33-31=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,20 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:[31, 17], Operations: ['50-34=16', '33-16=17']
Exploring Operation: 31+17=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 31*17=527, Resulting Numbers: [527]
527,20 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,20 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 #0,1,0
Current State: 20:[33, 15], Operations: ['50-34=16', '31-16=15']
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,20 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,20 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:[34, 31, 17], Operations: ['50-33=17']
Exploring Operation: 34-17=17, Resulting Numbers: [31, 17]
Generated Node #0,2,0: 20:[31, 17] Operation: 34-17=17
Exploring Operation: 34/17=2, Resulting Numbers: [31, 2]
Generated Node #0,2,1: 20:[31, 2] Operation: 34/17=2
Exploring Operation: 34-31=3, Resulting Numbers: [17, 3]
Generated Node #0,2,2: 20:[17, 3] Operation: 34-31=3
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 20:[17, 3], Operations: ['50-33=17', '34-31=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[34, 31, 33, 50], Operations: []
Exploring Operation: 50-33=17, Resulting Numbers: [34, 31, 17]
Generated Node #0,2: 20:[34, 31, 17] Operation: 50-33=17
Moving to Node #0,2
Current State: 20:[34, 31, 17], Operations: ['50-33=17']
Exploring Operation: 34-31=3, Resulting Numbers: [17, 3]
Generated Node #0,2,2: 20:[17, 3] Operation: 34-31=3
Moving to Node #0,2,2
Current State: 20:[17, 3], Operations: ['50-33=17', '34-31=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | sum_heuristic |
[
76,
6,
94,
51
] | 63 | [
"76+6=82",
"94+51=145",
"145-82=63"
] | Current State: 63:[76, 6, 94, 51], Operations: []
Exploring Operation: 76+6=82, Resulting Numbers: [94, 51, 82]
Generated Node #2: [94, 51, 82] from Operation: 76+6=82
Current State: 63:[94, 51, 82], Operations: ['76+6=82']
Exploring Operation: 94+51=145, Resulting Numbers: [82, 145]
Generated Node #3: [82, 145] from Operation: 94+51=145
Current State: 63:[82, 145], Operations: ['76+6=82', '94+51=145']
Exploring Operation: 145-82=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[76, 6, 94, 51], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [6, 51, 18]
Generated Node #0,0: 63:[6, 51, 18] Operation: 94-76=18
Exploring Operation: 76-51=25, Resulting Numbers: [6, 94, 25]
Generated Node #0,1: 63:[6, 94, 25] Operation: 76-51=25
Exploring Operation: 94-51=43, Resulting Numbers: [76, 6, 43]
Generated Node #0,2: 63:[76, 6, 43] Operation: 94-51=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[6, 51, 18], Operations: ['94-76=18']
Exploring Operation: 51+18=69, Resulting Numbers: [6, 69]
Generated Node #0,0,0: 63:[6, 69] Operation: 51+18=69
Exploring Operation: 18/6=3, Resulting Numbers: [51, 3]
Generated Node #0,0,1: 63:[51, 3] Operation: 18/6=3
Exploring Operation: 6+51=57, Resulting Numbers: [18, 57]
Generated Node #0,0,2: 63:[18, 57] Operation: 6+51=57
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[6, 69], Operations: ['94-76=18', '51+18=69']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[76, 6, 94, 51], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [6, 51, 18]
Generated Node #0,0: 63:[6, 51, 18] Operation: 94-76=18
Moving to Node #0,0
Current State: 63:[6, 51, 18], Operations: ['94-76=18']
Exploring Operation: 51+18=69, Resulting Numbers: [6, 69]
Generated Node #0,0,0: 63:[6, 69] Operation: 51+18=69
Moving to Node #0,0,0
Current State: 63:[6, 69], Operations: ['94-76=18', '51+18=69']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
28,
61,
95,
3
] | 72 | [
"28*3=84",
"61+95=156",
"156-84=72"
] | Current State: 72:[28, 61, 95, 3], Operations: []
Exploring Operation: 28*3=84, Resulting Numbers: [61, 95, 84]
Generated Node #2: [61, 95, 84] from Operation: 28*3=84
Current State: 72:[61, 95, 84], Operations: ['28*3=84']
Exploring Operation: 61+95=156, Resulting Numbers: [84, 156]
Generated Node #3: [84, 156] from Operation: 61+95=156
Current State: 72:[84, 156], Operations: ['28*3=84', '61+95=156']
Exploring Operation: 156-84=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[28, 61, 95, 3], Operations: []
Exploring Operation: 61+3=64, Resulting Numbers: [28, 95, 64]
Generated Node #0,0: 72:[28, 95, 64] Operation: 61+3=64
Exploring Operation: 61-28=33, Resulting Numbers: [95, 3, 33]
Generated Node #0,1: 72:[95, 3, 33] Operation: 61-28=33
Exploring Operation: 95-28=67, Resulting Numbers: [61, 3, 67]
Generated Node #0,2: 72:[61, 3, 67] Operation: 95-28=67
Exploring Operation: 28-3=25, Resulting Numbers: [61, 95, 25]
Generated Node #0,3: 72:[61, 95, 25] Operation: 28-3=25
Exploring Operation: 95-61=34, Resulting Numbers: [28, 3, 34]
Generated Node #0,4: 72:[28, 3, 34] Operation: 95-61=34
Moving to Node #0,4
Current State: 72:[28, 3, 34], Operations: ['95-61=34']
Exploring Operation: 34-28=6, Resulting Numbers: [3, 6]
Generated Node #0,4,0: 72:[3, 6] Operation: 34-28=6
Exploring Operation: 28+3=31, Resulting Numbers: [34, 31]
Generated Node #0,4,1: 72:[34, 31] Operation: 28+3=31
Exploring Operation: 3+34=37, Resulting Numbers: [28, 37]
Generated Node #0,4,2: 72:[28, 37] Operation: 3+34=37
Exploring Operation: 28-3=25, Resulting Numbers: [34, 25]
Generated Node #0,4,3: 72:[34, 25] Operation: 28-3=25
Exploring Operation: 34-3=31, Resulting Numbers: [28, 31]
Generated Node #0,4,4: 72:[28, 31] Operation: 34-3=31
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 72:[3, 6], Operations: ['95-61=34', '34-28=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 72:[34, 25], Operations: ['95-61=34', '28-3=25']
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 34*25=850, Resulting Numbers: [850]
850,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 72:[28, 37], Operations: ['95-61=34', '3+34=37']
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,72 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 72:[34, 31], Operations: ['95-61=34', '28+3=31']
Exploring Operation: 34*31=1054, Resulting Numbers: [1054]
1054,72 unequal: No Solution
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 34+31=65, Resulting Numbers: [65]
65,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 72:[28, 31], Operations: ['95-61=34', '34-3=31']
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,72 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: 72:[61, 3, 67], Operations: ['95-28=67']
Exploring Operation: 61-3=58, Resulting Numbers: [67, 58]
Generated Node #0,2,0: 72:[67, 58] Operation: 61-3=58
Exploring Operation: 67-3=64, Resulting Numbers: [61, 64]
Generated Node #0,2,1: 72:[61, 64] Operation: 67-3=64
Exploring Operation: 61+3=64, Resulting Numbers: [67, 64]
Generated Node #0,2,2: 72:[67, 64] Operation: 61+3=64
Exploring Operation: 67-61=6, Resulting Numbers: [3, 6]
Generated Node #0,2,3: 72:[3, 6] Operation: 67-61=6
Exploring Operation: 3+67=70, Resulting Numbers: [61, 70]
Generated Node #0,2,4: 72:[61, 70] Operation: 3+67=70
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 72:[3, 6], Operations: ['95-28=67', '67-61=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[67, 64], Operations: ['95-28=67', '61+3=64']
Exploring Operation: 67-64=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 67+64=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 67*64=4288, Resulting Numbers: [4288]
4288,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 72:[61, 70], Operations: ['95-28=67', '3+67=70']
Exploring Operation: 61+70=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 61*70=4270, Resulting Numbers: [4270]
4270,72 unequal: No Solution
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[67, 58], Operations: ['95-28=67', '61-3=58']
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,72 unequal: No Solution
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[61, 64], Operations: ['95-28=67', '67-3=64']
Exploring Operation: 64-61=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 61*64=3904, Resulting Numbers: [3904]
3904,72 unequal: No Solution
Exploring Operation: 61+64=125, Resulting Numbers: [125]
125,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 72:[95, 3, 33], Operations: ['61-28=33']
Exploring Operation: 3+33=36, Resulting Numbers: [95, 36]
Generated Node #0,1,0: 72:[95, 36] Operation: 3+33=36
Exploring Operation: 95-3=92, Resulting Numbers: [33, 92]
Generated Node #0,1,1: 72:[33, 92] Operation: 95-3=92
Exploring Operation: 95-33=62, Resulting Numbers: [3, 62]
Generated Node #0,1,2: 72:[3, 62] Operation: 95-33=62
Exploring Operation: 33/3=11, Resulting Numbers: [95, 11]
Generated Node #0,1,3: 72:[95, 11] Operation: 33/3=11
Exploring Operation: 95+3=98, Resulting Numbers: [33, 98]
Generated Node #0,1,4: 72:[33, 98] Operation: 95+3=98
Moving to Node #0,0
Current State: 72:[28, 95, 64], Operations: ['61+3=64']
Exploring Operation: 95-64=31, Resulting Numbers: [28, 31]
Generated Node #0,0,0: 72:[28, 31] Operation: 95-64=31
Exploring Operation: 28+95=123, Resulting Numbers: [64, 123]
Generated Node #0,0,1: 72:[64, 123] Operation: 28+95=123
Exploring Operation: 64-28=36, Resulting Numbers: [95, 36]
Generated Node #0,0,2: 72:[95, 36] Operation: 64-28=36
Exploring Operation: 28+64=92, Resulting Numbers: [95, 92]
Generated Node #0,0,3: 72:[95, 92] Operation: 28+64=92
Exploring Operation: 95-28=67, Resulting Numbers: [64, 67]
Generated Node #0,0,4: 72:[64, 67] Operation: 95-28=67
Moving to Node #0,3
Current State: 72:[61, 95, 25], Operations: ['28-3=25']
Exploring Operation: 95-25=70, Resulting Numbers: [61, 70]
Generated Node #0,3,0: 72:[61, 70] Operation: 95-25=70
Exploring Operation: 61+25=86, Resulting Numbers: [95, 86]
Generated Node #0,3,1: 72:[95, 86] Operation: 61+25=86
Exploring Operation: 61-25=36, Resulting Numbers: [95, 36]
Generated Node #0,3,2: 72:[95, 36] Operation: 61-25=36
Exploring Operation: 95-61=34, Resulting Numbers: [25, 34]
Generated Node #0,3,3: 72:[25, 34] Operation: 95-61=34
Exploring Operation: 95+25=120, Resulting Numbers: [61, 120]
Generated Node #0,3,4: 72:[61, 120] Operation: 95+25=120
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 72:[25, 34], Operations: ['28-3=25', '95-61=34']
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,72 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 72:[61, 70], Operations: ['28-3=25', '95-25=70']
Exploring Operation: 61+70=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 61*70=4270, Resulting Numbers: [4270]
4270,72 unequal: No Solution
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 72:[95, 36], Operations: ['28-3=25', '61-25=36']
Exploring Operation: 95+36=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 95*36=3420, Resulting Numbers: [3420]
3420,72 unequal: No Solution
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 72:[95, 86], Operations: ['28-3=25', '61+25=86']
Exploring Operation: 95+86=181, Resulting Numbers: [181]
181,72 unequal: No Solution
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 95*86=8170, Resulting Numbers: [8170]
8170,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 72:[61, 120], Operations: ['28-3=25', '95+25=120']
Exploring Operation: 61*120=7320, Resulting Numbers: [7320]
7320,72 unequal: No Solution
Exploring Operation: 61+120=181, Resulting Numbers: [181]
181,72 unequal: No Solution
Exploring Operation: 120-61=59, Resulting Numbers: [59]
59,72 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: 72:[28, 31], Operations: ['61+3=64', '95-64=31']
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,72 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[3, 62], Operations: ['61-28=33', '95-33=62']
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,72 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,72 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,0,4
Current State: 72:[64, 67], Operations: ['61+3=64', '95-28=67']
Exploring Operation: 64*67=4288, Resulting Numbers: [4288]
4288,72 unequal: No Solution
Exploring Operation: 67-64=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 64+67=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[33, 92], Operations: ['61-28=33', '95-3=92']
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 33*92=3036, Resulting Numbers: [3036]
3036,72 unequal: No Solution
Exploring Operation: 33+92=125, Resulting Numbers: [125]
125,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[95, 36], Operations: ['61-28=33', '3+33=36']
Exploring Operation: 95*36=3420, Resulting Numbers: [3420]
3420,72 unequal: No Solution
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 95+36=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[95, 36], Operations: ['61+3=64', '64-28=36']
Exploring Operation: 95+36=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 95*36=3420, Resulting Numbers: [3420]
3420,72 unequal: No Solution
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[95, 11], Operations: ['61-28=33', '33/3=11']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,72 unequal: No Solution
Exploring Operation: 95+11=106, Resulting Numbers: [106]
106,72 unequal: No Solution
Exploring Operation: 95*11=1045, Resulting Numbers: [1045]
1045,72 unequal: No Solution
Moving to Node #0,1,4
Current State: 72:[33, 98], Operations: ['61-28=33', '95+3=98']
Exploring Operation: 98-33=65, Resulting Numbers: [65]
65,72 unequal: No Solution
Exploring Operation: 33+98=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 33*98=3234, Resulting Numbers: [3234]
3234,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[95, 92], Operations: ['61+3=64', '28+64=92']
Exploring Operation: 95*92=8740, Resulting Numbers: [8740]
8740,72 unequal: No Solution
Exploring Operation: 95+92=187, Resulting Numbers: [187]
187,72 unequal: No Solution
Exploring Operation: 95-92=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[64, 123], Operations: ['61+3=64', '28+95=123']
Exploring Operation: 123-64=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 64*123=7872, Resulting Numbers: [7872]
7872,72 unequal: No Solution
Exploring Operation: 64+123=187, Resulting Numbers: [187]
187,72 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
25,
9,
19,
13
] | 16 | [
"25-9=16",
"19+13=32",
"32-16=16"
] | Current State: 16:[25, 9, 19, 13], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [19, 13, 16]
Generated Node #2: [19, 13, 16] from Operation: 25-9=16
Current State: 16:[19, 13, 16], Operations: ['25-9=16']
Exploring Operation: 19+13=32, Resulting Numbers: [16, 32]
Generated Node #3: [16, 32] from Operation: 19+13=32
Current State: 16:[16, 32], Operations: ['25-9=16', '19+13=32']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[25, 9, 19, 13], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [25, 9, 6]
Generated Node #0,0: 16:[25, 9, 6] Operation: 19-13=6
Exploring Operation: 25-13=12, Resulting Numbers: [9, 19, 12]
Generated Node #0,1: 16:[9, 19, 12] Operation: 25-13=12
Exploring Operation: 25-9=16, Resulting Numbers: [19, 13, 16]
Generated Node #0,2: 16:[19, 13, 16] Operation: 25-9=16
Exploring Operation: 13-9=4, Resulting Numbers: [25, 19, 4]
Generated Node #0,3: 16:[25, 19, 4] Operation: 13-9=4
Exploring Operation: 25-19=6, Resulting Numbers: [9, 13, 6]
Generated Node #0,4: 16:[9, 13, 6] Operation: 25-19=6
Moving to Node #0,2
Current State: 16:[19, 13, 16], Operations: ['25-9=16']
Exploring Operation: 19+13=32, Resulting Numbers: [16, 32]
Generated Node #0,2,0: 16:[16, 32] Operation: 19+13=32
Exploring Operation: 19-16=3, Resulting Numbers: [13, 3]
Generated Node #0,2,1: 16:[13, 3] Operation: 19-16=3
Exploring Operation: 13+16=29, Resulting Numbers: [19, 29]
Generated Node #0,2,2: 16:[19, 29] Operation: 13+16=29
Exploring Operation: 16-13=3, Resulting Numbers: [19, 3]
Generated Node #0,2,3: 16:[19, 3] Operation: 16-13=3
Exploring Operation: 19-13=6, Resulting Numbers: [16, 6]
Generated Node #0,2,4: 16:[16, 6] Operation: 19-13=6
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 16:[16, 6], Operations: ['25-9=16', '19-13=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,16 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,16 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 #0,2,1
Current State: 16:[13, 3], Operations: ['25-9=16', '19-16=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[25, 9, 19, 13], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [19, 13, 16]
Generated Node #0,2: 16:[19, 13, 16] Operation: 25-9=16
Moving to Node #0,2
Current State: 16:[19, 13, 16], Operations: ['25-9=16']
Exploring Operation: 19-16=3, Resulting Numbers: [13, 3]
Generated Node #0,2,1: 16:[13, 3] Operation: 19-16=3
Moving to Node #0,2,1
Current State: 16:[13, 3], Operations: ['25-9=16', '19-16=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
82,
11,
19,
50
] | 77 | [
"82+50=132",
"11*19=209",
"209-132=77"
] | Current State: 77:[82, 11, 19, 50], Operations: []
Exploring Operation: 82+50=132, Resulting Numbers: [11, 19, 132]
Generated Node #2: [11, 19, 132] from Operation: 82+50=132
Current State: 77:[11, 19, 132], Operations: ['82+50=132']
Exploring Operation: 11*19=209, Resulting Numbers: [132, 209]
Generated Node #3: [132, 209] from Operation: 11*19=209
Current State: 77:[132, 209], Operations: ['82+50=132', '11*19=209']
Exploring Operation: 209-132=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[82, 11, 19, 50], Operations: []
Exploring Operation: 19+50=69, Resulting Numbers: [82, 11, 69]
Generated Node #0,0: 77:[82, 11, 69] Operation: 19+50=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[82, 11, 69], Operations: ['19+50=69']
Exploring Operation: 82-69=13, Resulting Numbers: [11, 13]
Generated Node #0,0,0: 77:[11, 13] Operation: 82-69=13
Moving to Node #0,0,0
Current State: 77:[11, 13], Operations: ['19+50=69', '82-69=13']
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,77 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,
34,
8,
77
] | 59 | [
"34-8=26",
"8+77=85",
"85-26=59"
] | Current State: 59:[8, 34, 8, 77], Operations: []
Exploring Operation: 34-8=26, Resulting Numbers: [77, 26]
Generated Node #2: [77, 26] from Operation: 34-8=26
Current State: 59:[77, 26], Operations: ['34-8=26']
Exploring Operation: 8+77=85, Resulting Numbers: [26, 85]
Generated Node #3: [26, 85] from Operation: 8+77=85
Current State: 59:[26, 85], Operations: ['34-8=26', '8+77=85']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[8, 34, 8, 77], Operations: []
Exploring Operation: 77-8=69, Resulting Numbers: [34, 8, 69]
Generated Node #0,0: 59:[34, 8, 69] Operation: 77-8=69
Exploring Operation: 8*8=64, Resulting Numbers: [34, 77, 64]
Generated Node #0,1: 59:[34, 77, 64] Operation: 8*8=64
Exploring Operation: 8+34=42, Resulting Numbers: [8, 77, 42]
Generated Node #0,2: 59:[8, 77, 42] Operation: 8+34=42
Exploring Operation: 8+8=16, Resulting Numbers: [34, 77, 16]
Generated Node #0,3: 59:[34, 77, 16] Operation: 8+8=16
Moving to Node #0,1
Current State: 59:[34, 77, 64], Operations: ['8*8=64']
Exploring Operation: 64-34=30, Resulting Numbers: [77, 30]
Generated Node #0,1,0: 59:[77, 30] Operation: 64-34=30
Exploring Operation: 77-34=43, Resulting Numbers: [64, 43]
Generated Node #0,1,1: 59:[64, 43] Operation: 77-34=43
Exploring Operation: 34+64=98, Resulting Numbers: [77, 98]
Generated Node #0,1,2: 59:[77, 98] Operation: 34+64=98
Exploring Operation: 34+77=111, Resulting Numbers: [64, 111]
Generated Node #0,1,3: 59:[64, 111] Operation: 34+77=111
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[64, 43], Operations: ['8*8=64', '77-34=43']
Exploring Operation: 64*43=2752, Resulting Numbers: [2752]
2752,59 unequal: No Solution
Exploring Operation: 64-43=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 64+43=107, Resulting Numbers: [107]
107,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[77, 30], Operations: ['8*8=64', '64-34=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,59 unequal: No Solution
Exploring Operation: 77*30=2310, Resulting Numbers: [2310]
2310,59 unequal: No Solution
Exploring Operation: 77+30=107, Resulting Numbers: [107]
107,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[77, 98], Operations: ['8*8=64', '34+64=98']
Exploring Operation: 77*98=7546, Resulting Numbers: [7546]
7546,59 unequal: No Solution
Exploring Operation: 98-77=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 77+98=175, Resulting Numbers: [175]
175,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 59:[64, 111], Operations: ['8*8=64', '34+77=111']
Exploring Operation: 111-64=47, Resulting Numbers: [47]
47,59 unequal: No Solution
Exploring Operation: 64*111=7104, Resulting Numbers: [7104]
7104,59 unequal: No Solution
Exploring Operation: 64+111=175, Resulting Numbers: [175]
175,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 59:[8, 77, 42], Operations: ['8+34=42']
Exploring Operation: 42-8=34, Resulting Numbers: [77, 34]
Generated Node #0,2,0: 59:[77, 34] Operation: 42-8=34
Exploring Operation: 8+77=85, Resulting Numbers: [42, 85]
Generated Node #0,2,1: 59:[42, 85] Operation: 8+77=85
Exploring Operation: 8+42=50, Resulting Numbers: [77, 50]
Generated Node #0,2,2: 59:[77, 50] Operation: 8+42=50
Exploring Operation: 77-8=69, Resulting Numbers: [42, 69]
Generated Node #0,2,3: 59:[42, 69] Operation: 77-8=69
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[77, 50], Operations: ['8+34=42', '8+42=50']
Exploring Operation: 77-50=27, Resulting Numbers: [27]
27,59 unequal: No Solution
Exploring Operation: 77+50=127, Resulting Numbers: [127]
127,59 unequal: No Solution
Exploring Operation: 77*50=3850, Resulting Numbers: [3850]
3850,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[42, 69], Operations: ['8+34=42', '77-8=69']
Exploring Operation: 42*69=2898, Resulting Numbers: [2898]
2898,59 unequal: No Solution
Exploring Operation: 69-42=27, Resulting Numbers: [27]
27,59 unequal: No Solution
Exploring Operation: 42+69=111, Resulting Numbers: [111]
111,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[77, 34], Operations: ['8+34=42', '42-8=34']
Exploring Operation: 77*34=2618, Resulting Numbers: [2618]
2618,59 unequal: No Solution
Exploring Operation: 77+34=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[42, 85], Operations: ['8+34=42', '8+77=85']
Exploring Operation: 42+85=127, Resulting Numbers: [127]
127,59 unequal: No Solution
Exploring Operation: 42*85=3570, Resulting Numbers: [3570]
3570,59 unequal: No Solution
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,59 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: 59:[34, 8, 69], Operations: ['77-8=69']
Exploring Operation: 34-8=26, Resulting Numbers: [69, 26]
Generated Node #0,0,0: 59:[69, 26] Operation: 34-8=26
Exploring Operation: 8+69=77, Resulting Numbers: [34, 77]
Generated Node #0,0,1: 59:[34, 77] Operation: 8+69=77
Exploring Operation: 34+8=42, Resulting Numbers: [69, 42]
Generated Node #0,0,2: 59:[69, 42] Operation: 34+8=42
Exploring Operation: 69-8=61, Resulting Numbers: [34, 61]
Generated Node #0,0,3: 59:[34, 61] Operation: 69-8=61
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[69, 42], Operations: ['77-8=69', '34+8=42']
Exploring Operation: 69+42=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Exploring Operation: 69-42=27, Resulting Numbers: [27]
27,59 unequal: No Solution
Exploring Operation: 69*42=2898, Resulting Numbers: [2898]
2898,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[34, 61], Operations: ['77-8=69', '69-8=61']
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,59 unequal: No Solution
Exploring Operation: 34*61=2074, Resulting Numbers: [2074]
2074,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[69, 26], Operations: ['77-8=69', '34-8=26']
Exploring Operation: 69*26=1794, Resulting Numbers: [1794]
1794,59 unequal: No Solution
Exploring Operation: 69+26=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[34, 77], Operations: ['77-8=69', '8+69=77']
Exploring Operation: 34+77=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Exploring Operation: 34*77=2618, Resulting Numbers: [2618]
2618,59 unequal: No Solution
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,59 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: 59:[34, 77, 16], Operations: ['8+8=16']
Exploring Operation: 34+16=50, Resulting Numbers: [77, 50]
Generated Node #0,3,0: 59:[77, 50] Operation: 34+16=50
Exploring Operation: 34-16=18, Resulting Numbers: [77, 18]
Generated Node #0,3,1: 59:[77, 18] Operation: 34-16=18
Exploring Operation: 77-34=43, Resulting Numbers: [16, 43]
Generated Node #0,3,2: 59:[16, 43] Operation: 77-34=43
Exploring Operation: 77-16=61, Resulting Numbers: [34, 61]
Generated Node #0,3,3: 59:[34, 61] Operation: 77-16=61
Moving to Node #0,3,0
Current State: 59:[77, 50], Operations: ['8+8=16', '34+16=50']
Exploring Operation: 77+50=127, Resulting Numbers: [127]
127,59 unequal: No Solution
Exploring Operation: 77-50=27, Resulting Numbers: [27]
27,59 unequal: No Solution
Exploring Operation: 77*50=3850, Resulting Numbers: [3850]
3850,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[34, 61], Operations: ['8+8=16', '77-16=61']
Exploring Operation: 34*61=2074, Resulting Numbers: [2074]
2074,59 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,59 unequal: No Solution
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[16, 43], Operations: ['8+8=16', '77-34=43']
Exploring Operation: 16+43=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[8, 34, 8, 77], Operations: []
Exploring Operation: 8+8=16, Resulting Numbers: [34, 77, 16]
Generated Node #0,3: 59:[34, 77, 16] Operation: 8+8=16
Moving to Node #0,3
Current State: 59:[34, 77, 16], Operations: ['8+8=16']
Exploring Operation: 77-34=43, Resulting Numbers: [16, 43]
Generated Node #0,3,2: 59:[16, 43] Operation: 77-34=43
Moving to Node #0,3,2
Current State: 59:[16, 43], Operations: ['8+8=16', '77-34=43']
Exploring Operation: 16+43=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 0.94184 | hs_4 | mult_heuristic |
[
64,
95,
4,
22
] | 73 | [
"64-22=42",
"4*42=168",
"168-95=73"
] | Current State: 73:[64, 95, 4, 22], Operations: []
Exploring Operation: 64-22=42, Resulting Numbers: [95, 4, 42]
Generated Node #2: [95, 4, 42] from Operation: 64-22=42
Current State: 73:[95, 4, 42], Operations: ['64-22=42']
Exploring Operation: 4*42=168, Resulting Numbers: [95, 168]
Generated Node #3: [95, 168] from Operation: 4*42=168
Current State: 73:[95, 168], Operations: ['64-22=42', '4*42=168']
Exploring Operation: 168-95=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[64, 95, 4, 22], Operations: []
Exploring Operation: 95-4=91, Resulting Numbers: [64, 22, 91]
Generated Node #0,0: 73:[64, 22, 91] Operation: 95-4=91
Exploring Operation: 4*22=88, Resulting Numbers: [64, 95, 88]
Generated Node #0,1: 73:[64, 95, 88] Operation: 4*22=88
Exploring Operation: 4+22=26, Resulting Numbers: [64, 95, 26]
Generated Node #0,2: 73:[64, 95, 26] Operation: 4+22=26
Exploring Operation: 95-22=73, Resulting Numbers: [64, 4, 73]
Generated Node #0,3: 73:[64, 4, 73] Operation: 95-22=73
Exploring Operation: 64+4=68, Resulting Numbers: [95, 22, 68]
Generated Node #0,4: 73:[95, 22, 68] Operation: 64+4=68
Moving to Node #0,1
Current State: 73:[64, 95, 88], Operations: ['4*22=88']
Exploring Operation: 64+95=159, Resulting Numbers: [88, 159]
Generated Node #0,1,0: 73:[88, 159] Operation: 64+95=159
Exploring Operation: 95-88=7, Resulting Numbers: [64, 7]
Generated Node #0,1,1: 73:[64, 7] Operation: 95-88=7
Exploring Operation: 64+88=152, Resulting Numbers: [95, 152]
Generated Node #0,1,2: 73:[95, 152] Operation: 64+88=152
Exploring Operation: 95-64=31, Resulting Numbers: [88, 31]
Generated Node #0,1,3: 73:[88, 31] Operation: 95-64=31
Exploring Operation: 88-64=24, Resulting Numbers: [95, 24]
Generated Node #0,1,4: 73:[95, 24] Operation: 88-64=24
Moving to Node #0,2
Current State: 73:[64, 95, 26], Operations: ['4+22=26']
Exploring Operation: 95+26=121, Resulting Numbers: [64, 121]
Generated Node #0,2,0: 73:[64, 121] Operation: 95+26=121
Exploring Operation: 64-26=38, Resulting Numbers: [95, 38]
Generated Node #0,2,1: 73:[95, 38] Operation: 64-26=38
Exploring Operation: 64+26=90, Resulting Numbers: [95, 90]
Generated Node #0,2,2: 73:[95, 90] Operation: 64+26=90
Exploring Operation: 95-64=31, Resulting Numbers: [26, 31]
Generated Node #0,2,3: 73:[26, 31] Operation: 95-64=31
Exploring Operation: 95-26=69, Resulting Numbers: [64, 69]
Generated Node #0,2,4: 73:[64, 69] Operation: 95-26=69
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 73:[64, 69], Operations: ['4+22=26', '95-26=69']
Exploring Operation: 64+69=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 64*69=4416, Resulting Numbers: [4416]
4416,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[95, 90], Operations: ['4+22=26', '64+26=90']
Exploring Operation: 95*90=8550, Resulting Numbers: [8550]
8550,73 unequal: No Solution
Exploring Operation: 95-90=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 95+90=185, Resulting Numbers: [185]
185,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[64, 121], Operations: ['4+22=26', '95+26=121']
Exploring Operation: 64*121=7744, Resulting Numbers: [7744]
7744,73 unequal: No Solution
Exploring Operation: 64+121=185, Resulting Numbers: [185]
185,73 unequal: No Solution
Exploring Operation: 121-64=57, Resulting Numbers: [57]
57,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[95, 38], Operations: ['4+22=26', '64-26=38']
Exploring Operation: 95+38=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Exploring Operation: 95*38=3610, Resulting Numbers: [3610]
3610,73 unequal: No Solution
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 73:[26, 31], Operations: ['4+22=26', '95-64=31']
Exploring Operation: 26+31=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 26*31=806, Resulting Numbers: [806]
806,73 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,73 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: 73:[95, 22, 68], Operations: ['64+4=68']
Exploring Operation: 95-68=27, Resulting Numbers: [22, 27]
Generated Node #0,4,0: 73:[22, 27] Operation: 95-68=27
Exploring Operation: 95-22=73, Resulting Numbers: [68, 73]
Generated Node #0,4,1: 73:[68, 73] Operation: 95-22=73
Exploring Operation: 68-22=46, Resulting Numbers: [95, 46]
Generated Node #0,4,2: 73:[95, 46] Operation: 68-22=46
Exploring Operation: 95+22=117, Resulting Numbers: [68, 117]
Generated Node #0,4,3: 73:[68, 117] Operation: 95+22=117
Exploring Operation: 22+68=90, Resulting Numbers: [95, 90]
Generated Node #0,4,4: 73:[95, 90] Operation: 22+68=90
Moving to Node #0,0
Current State: 73:[64, 22, 91], Operations: ['95-4=91']
Exploring Operation: 91-64=27, Resulting Numbers: [22, 27]
Generated Node #0,0,0: 73:[22, 27] Operation: 91-64=27
Exploring Operation: 64-22=42, Resulting Numbers: [91, 42]
Generated Node #0,0,1: 73:[91, 42] Operation: 64-22=42
Exploring Operation: 91-22=69, Resulting Numbers: [64, 69]
Generated Node #0,0,2: 73:[64, 69] Operation: 91-22=69
Exploring Operation: 64+22=86, Resulting Numbers: [91, 86]
Generated Node #0,0,3: 73:[91, 86] Operation: 64+22=86
Exploring Operation: 22+91=113, Resulting Numbers: [64, 113]
Generated Node #0,0,4: 73:[64, 113] Operation: 22+91=113
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[64, 69], Operations: ['95-4=91', '91-22=69']
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 64*69=4416, Resulting Numbers: [4416]
4416,73 unequal: No Solution
Exploring Operation: 64+69=133, Resulting Numbers: [133]
133,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 73:[91, 86], Operations: ['95-4=91', '64+22=86']
Exploring Operation: 91+86=177, Resulting Numbers: [177]
177,73 unequal: No Solution
Exploring Operation: 91-86=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 91*86=7826, Resulting Numbers: [7826]
7826,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[91, 42], Operations: ['95-4=91', '64-22=42']
Exploring Operation: 91-42=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 91*42=3822, Resulting Numbers: [3822]
3822,73 unequal: No Solution
Exploring Operation: 91+42=133, Resulting Numbers: [133]
133,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 73:[64, 113], Operations: ['95-4=91', '22+91=113']
Exploring Operation: 64+113=177, Resulting Numbers: [177]
177,73 unequal: No Solution
Exploring Operation: 113-64=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 64*113=7232, Resulting Numbers: [7232]
7232,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[22, 27], Operations: ['95-4=91', '91-64=27']
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,73 unequal: No Solution
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,73 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: 73:[64, 4, 73], Operations: ['95-22=73']
Exploring Operation: 64/4=16, Resulting Numbers: [73, 16]
Generated Node #0,3,0: 73:[73, 16] Operation: 64/4=16
Exploring Operation: 64-4=60, Resulting Numbers: [73, 60]
Generated Node #0,3,1: 73:[73, 60] Operation: 64-4=60
Exploring Operation: 4+73=77, Resulting Numbers: [64, 77]
Generated Node #0,3,2: 73:[64, 77] Operation: 4+73=77
Exploring Operation: 73-4=69, Resulting Numbers: [64, 69]
Generated Node #0,3,3: 73:[64, 69] Operation: 73-4=69
Exploring Operation: 64+4=68, Resulting Numbers: [73, 68]
Generated Node #0,3,4: 73:[73, 68] Operation: 64+4=68
Moving to Node #0,4,1
Current State: 73:[68, 73], Operations: ['64+4=68', '95-22=73']
Exploring Operation: 68*73=4964, Resulting Numbers: [4964]
4964,73 unequal: No Solution
Exploring Operation: 68+73=141, Resulting Numbers: [141]
141,73 unequal: No Solution
Exploring Operation: 73-68=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Moving to Node #0,3,4
Current State: 73:[73, 68], Operations: ['95-22=73', '64+4=68']
Exploring Operation: 73-68=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 73*68=4964, Resulting Numbers: [4964]
4964,73 unequal: No Solution
Exploring Operation: 73+68=141, Resulting Numbers: [141]
141,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[73, 60], Operations: ['95-22=73', '64-4=60']
Exploring Operation: 73*60=4380, Resulting Numbers: [4380]
4380,73 unequal: No Solution
Exploring Operation: 73+60=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Exploring Operation: 73-60=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[64, 69], Operations: ['95-22=73', '73-4=69']
Exploring Operation: 64*69=4416, Resulting Numbers: [4416]
4416,73 unequal: No Solution
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 64+69=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[64, 77], Operations: ['95-22=73', '4+73=77']
Exploring Operation: 64*77=4928, Resulting Numbers: [4928]
4928,73 unequal: No Solution
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 64+77=141, Resulting Numbers: [141]
141,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[95, 90], Operations: ['64+4=68', '22+68=90']
Exploring Operation: 95-90=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 95*90=8550, Resulting Numbers: [8550]
8550,73 unequal: No Solution
Exploring Operation: 95+90=185, Resulting Numbers: [185]
185,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[95, 46], Operations: ['64+4=68', '68-22=46']
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 95*46=4370, Resulting Numbers: [4370]
4370,73 unequal: No Solution
Exploring Operation: 95+46=141, Resulting Numbers: [141]
141,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[68, 117], Operations: ['64+4=68', '95+22=117']
Exploring Operation: 117-68=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 68+117=185, Resulting Numbers: [185]
185,73 unequal: No Solution
Exploring Operation: 68*117=7956, Resulting Numbers: [7956]
7956,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[88, 31], Operations: ['4*22=88', '95-64=31']
Exploring Operation: 88-31=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 88*31=2728, Resulting Numbers: [2728]
2728,73 unequal: No Solution
Exploring Operation: 88+31=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[73, 16], Operations: ['95-22=73', '64/4=16']
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,73 unequal: No Solution
Exploring Operation: 73*16=1168, Resulting Numbers: [1168]
1168,73 unequal: No Solution
Moving to Node #0,1,4
Current State: 73:[95, 24], Operations: ['4*22=88', '88-64=24']
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,73 unequal: No Solution
Exploring Operation: 95+24=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 95*24=2280, Resulting Numbers: [2280]
2280,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[64, 7], Operations: ['4*22=88', '95-88=7']
Exploring Operation: 64*7=448, Resulting Numbers: [448]
448,73 unequal: No Solution
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,73 unequal: No Solution
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[22, 27], Operations: ['64+4=68', '95-68=27']
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,73 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[88, 159], Operations: ['4*22=88', '64+95=159']
Exploring Operation: 88+159=247, Resulting Numbers: [247]
247,73 unequal: No Solution
Exploring Operation: 88*159=13992, Resulting Numbers: [13992]
13992,73 unequal: No Solution
Exploring Operation: 159-88=71, Resulting Numbers: [71]
71,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[95, 152], Operations: ['4*22=88', '64+88=152']
Exploring Operation: 152-95=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 95+152=247, Resulting Numbers: [247]
247,73 unequal: No Solution
Exploring Operation: 95*152=14440, Resulting Numbers: [14440]
14440,73 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
22,
14,
31,
44
] | 23 | [
"22+14=36",
"44-31=13",
"36-13=23"
] | Current State: 23:[22, 14, 31, 44], Operations: []
Exploring Operation: 22+14=36, Resulting Numbers: [31, 44, 36]
Generated Node #2: [31, 44, 36] from Operation: 22+14=36
Current State: 23:[31, 44, 36], Operations: ['22+14=36']
Exploring Operation: 44-31=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 44-31=13
Current State: 23:[36, 13], Operations: ['22+14=36', '44-31=13']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[22, 14, 31, 44], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [22, 44, 17]
Generated Node #0,0: 23:[22, 44, 17] Operation: 31-14=17
Exploring Operation: 44-14=30, Resulting Numbers: [22, 31, 30]
Generated Node #0,1: 23:[22, 31, 30] Operation: 44-14=30
Exploring Operation: 44-31=13, Resulting Numbers: [22, 14, 13]
Generated Node #0,2: 23:[22, 14, 13] Operation: 44-31=13
Exploring Operation: 44-22=22, Resulting Numbers: [14, 31, 22]
Generated Node #0,3: 23:[14, 31, 22] Operation: 44-22=22
Moving to Node #0,1
Current State: 23:[22, 31, 30], Operations: ['44-14=30']
Exploring Operation: 31-22=9, Resulting Numbers: [30, 9]
Generated Node #0,1,0: 23:[30, 9] Operation: 31-22=9
Exploring Operation: 22+31=53, Resulting Numbers: [30, 53]
Generated Node #0,1,1: 23:[30, 53] Operation: 22+31=53
Exploring Operation: 30-22=8, Resulting Numbers: [31, 8]
Generated Node #0,1,2: 23:[31, 8] Operation: 30-22=8
Exploring Operation: 31-30=1, Resulting Numbers: [22, 1]
Generated Node #0,1,3: 23:[22, 1] Operation: 31-30=1
Moving to Node #0,3
Current State: 23:[14, 31, 22], Operations: ['44-22=22']
Exploring Operation: 31-14=17, Resulting Numbers: [22, 17]
Generated Node #0,3,0: 23:[22, 17] Operation: 31-14=17
Exploring Operation: 22-14=8, Resulting Numbers: [31, 8]
Generated Node #0,3,1: 23:[31, 8] Operation: 22-14=8
Exploring Operation: 14+31=45, Resulting Numbers: [22, 45]
Generated Node #0,3,2: 23:[22, 45] Operation: 14+31=45
Exploring Operation: 14+22=36, Resulting Numbers: [31, 36]
Generated Node #0,3,3: 23:[31, 36] Operation: 14+22=36
Moving to Node #0,2
Current State: 23:[22, 14, 13], Operations: ['44-31=13']
Exploring Operation: 14+13=27, Resulting Numbers: [22, 27]
Generated Node #0,2,0: 23:[22, 27] Operation: 14+13=27
Exploring Operation: 22+14=36, Resulting Numbers: [13, 36]
Generated Node #0,2,1: 23:[13, 36] Operation: 22+14=36
Exploring Operation: 22-13=9, Resulting Numbers: [14, 9]
Generated Node #0,2,2: 23:[14, 9] Operation: 22-13=9
Exploring Operation: 22+13=35, Resulting Numbers: [14, 35]
Generated Node #0,2,3: 23:[14, 35] Operation: 22+13=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[22, 27], Operations: ['44-31=13', '14+13=27']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 22*27=594, Resulting Numbers: [594]
594,23 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:[14, 35], Operations: ['44-31=13', '22+13=35']
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,23 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,23 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:[13, 36], Operations: ['44-31=13', '22+14=36']
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,23 unequal: No Solution
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[22, 14, 31, 44], Operations: []
Exploring Operation: 44-31=13, Resulting Numbers: [22, 14, 13]
Generated Node #0,2: 23:[22, 14, 13] Operation: 44-31=13
Moving to Node #0,2
Current State: 23:[22, 14, 13], Operations: ['44-31=13']
Exploring Operation: 22+14=36, Resulting Numbers: [13, 36]
Generated Node #0,2,1: 23:[13, 36] Operation: 22+14=36
Moving to Node #0,2,1
Current State: 23:[13, 36], Operations: ['44-31=13', '22+14=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
77,
21,
2,
69
] | 15 | [
"77-21=56",
"2+69=71",
"71-56=15"
] | Current State: 15:[77, 21, 2, 69], Operations: []
Exploring Operation: 77-21=56, Resulting Numbers: [2, 69, 56]
Generated Node #2: [2, 69, 56] from Operation: 77-21=56
Current State: 15:[2, 69, 56], Operations: ['77-21=56']
Exploring Operation: 2+69=71, Resulting Numbers: [56, 71]
Generated Node #3: [56, 71] from Operation: 2+69=71
Current State: 15:[56, 71], Operations: ['77-21=56', '2+69=71']
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[77, 21, 2, 69], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [21, 2, 8]
Generated Node #0,0: 15:[21, 2, 8] Operation: 77-69=8
Exploring Operation: 77-21=56, Resulting Numbers: [2, 69, 56]
Generated Node #0,1: 15:[2, 69, 56] Operation: 77-21=56
Exploring Operation: 69-21=48, Resulting Numbers: [77, 2, 48]
Generated Node #0,2: 15:[77, 2, 48] Operation: 69-21=48
Moving to Node #0,0
Current State: 15:[21, 2, 8], Operations: ['77-69=8']
Exploring Operation: 2*8=16, Resulting Numbers: [21, 16]
Generated Node #0,0,0: 15:[21, 16] Operation: 2*8=16
Exploring Operation: 21-8=13, Resulting Numbers: [2, 13]
Generated Node #0,0,1: 15:[2, 13] Operation: 21-8=13
Exploring Operation: 21-2=19, Resulting Numbers: [8, 19]
Generated Node #0,0,2: 15:[8, 19] Operation: 21-2=19
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[2, 13], Operations: ['77-69=8', '21-8=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[77, 21, 2, 69], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [21, 2, 8]
Generated Node #0,0: 15:[21, 2, 8] Operation: 77-69=8
Moving to Node #0,0
Current State: 15:[21, 2, 8], Operations: ['77-69=8']
Exploring Operation: 21-8=13, Resulting Numbers: [2, 13]
Generated Node #0,0,1: 15:[2, 13] Operation: 21-8=13
Moving to Node #0,0,1
Current State: 15:[2, 13], Operations: ['77-69=8', '21-8=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
4,
95,
67,
26
] | 86 | [
"95-67=28",
"4*28=112",
"112-26=86"
] | Current State: 86:[4, 95, 67, 26], Operations: []
Exploring Operation: 95-67=28, Resulting Numbers: [4, 26, 28]
Generated Node #2: [4, 26, 28] from Operation: 95-67=28
Current State: 86:[4, 26, 28], Operations: ['95-67=28']
Exploring Operation: 4*28=112, Resulting Numbers: [26, 112]
Generated Node #3: [26, 112] from Operation: 4*28=112
Current State: 86:[26, 112], Operations: ['95-67=28', '4*28=112']
Exploring Operation: 112-26=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[4, 95, 67, 26], Operations: []
Exploring Operation: 95-67=28, Resulting Numbers: [4, 26, 28]
Generated Node #0,0: 86:[4, 26, 28] Operation: 95-67=28
Exploring Operation: 95-26=69, Resulting Numbers: [4, 67, 69]
Generated Node #0,1: 86:[4, 67, 69] Operation: 95-26=69
Exploring Operation: 67-26=41, Resulting Numbers: [4, 95, 41]
Generated Node #0,2: 86:[4, 95, 41] Operation: 67-26=41
Exploring Operation: 67+26=93, Resulting Numbers: [4, 95, 93]
Generated Node #0,3: 86:[4, 95, 93] Operation: 67+26=93
Exploring Operation: 95-4=91, Resulting Numbers: [67, 26, 91]
Generated Node #0,4: 86:[67, 26, 91] Operation: 95-4=91
Moving to Node #0,2
Current State: 86:[4, 95, 41], Operations: ['67-26=41']
Exploring Operation: 41-4=37, Resulting Numbers: [95, 37]
Generated Node #0,2,0: 86:[95, 37] Operation: 41-4=37
Exploring Operation: 95-4=91, Resulting Numbers: [41, 91]
Generated Node #0,2,1: 86:[41, 91] Operation: 95-4=91
Exploring Operation: 4+95=99, Resulting Numbers: [41, 99]
Generated Node #0,2,2: 86:[41, 99] Operation: 4+95=99
Exploring Operation: 4+41=45, Resulting Numbers: [95, 45]
Generated Node #0,2,3: 86:[95, 45] Operation: 4+41=45
Exploring Operation: 95-41=54, Resulting Numbers: [4, 54]
Generated Node #0,2,4: 86:[4, 54] Operation: 95-41=54
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 86:[41, 91], Operations: ['67-26=41', '95-4=91']
Exploring Operation: 41*91=3731, Resulting Numbers: [3731]
3731,86 unequal: No Solution
Exploring Operation: 91-41=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 41+91=132, Resulting Numbers: [132]
132,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 86:[95, 45], Operations: ['67-26=41', '4+41=45']
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 95+45=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Exploring Operation: 95*45=4275, Resulting Numbers: [4275]
4275,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 86:[4, 54], Operations: ['67-26=41', '95-41=54']
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,86 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 86:[95, 37], Operations: ['67-26=41', '41-4=37']
Exploring Operation: 95-37=58, Resulting Numbers: [58]
58,86 unequal: No Solution
Exploring Operation: 95+37=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 95*37=3515, Resulting Numbers: [3515]
3515,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[41, 99], Operations: ['67-26=41', '4+95=99']
Exploring Operation: 41+99=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,86 unequal: No Solution
Exploring Operation: 41*99=4059, Resulting Numbers: [4059]
4059,86 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: 86:[4, 95, 93], Operations: ['67+26=93']
Exploring Operation: 95-4=91, Resulting Numbers: [93, 91]
Generated Node #0,3,0: 86:[93, 91] Operation: 95-4=91
Exploring Operation: 4+95=99, Resulting Numbers: [93, 99]
Generated Node #0,3,1: 86:[93, 99] Operation: 4+95=99
Exploring Operation: 4+93=97, Resulting Numbers: [95, 97]
Generated Node #0,3,2: 86:[95, 97] Operation: 4+93=97
Exploring Operation: 95-93=2, Resulting Numbers: [4, 2]
Generated Node #0,3,3: 86:[4, 2] Operation: 95-93=2
Exploring Operation: 93-4=89, Resulting Numbers: [95, 89]
Generated Node #0,3,4: 86:[95, 89] Operation: 93-4=89
Moving to Node #0,0
Current State: 86:[4, 26, 28], Operations: ['95-67=28']
Exploring Operation: 26+28=54, Resulting Numbers: [4, 54]
Generated Node #0,0,0: 86:[4, 54] Operation: 26+28=54
Exploring Operation: 4+26=30, Resulting Numbers: [28, 30]
Generated Node #0,0,1: 86:[28, 30] Operation: 4+26=30
Exploring Operation: 28-26=2, Resulting Numbers: [4, 2]
Generated Node #0,0,2: 86:[4, 2] Operation: 28-26=2
Exploring Operation: 4+28=32, Resulting Numbers: [26, 32]
Generated Node #0,0,3: 86:[26, 32] Operation: 4+28=32
Exploring Operation: 28/4=7, Resulting Numbers: [26, 7]
Generated Node #0,0,4: 86:[26, 7] Operation: 28/4=7
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[4, 2], Operations: ['95-67=28', '28-26=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[4, 54], Operations: ['95-67=28', '26+28=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,86 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 86:[26, 7], Operations: ['95-67=28', '28/4=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,86 unequal: No Solution
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[28, 30], Operations: ['95-67=28', '4+26=30']
Exploring Operation: 28*30=840, Resulting Numbers: [840]
840,86 unequal: No Solution
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,86 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 86:[26, 32], Operations: ['95-67=28', '4+28=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,86 unequal: No Solution
Exploring Operation: 26*32=832, Resulting Numbers: [832]
832,86 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,86 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: 86:[4, 67, 69], Operations: ['95-26=69']
Exploring Operation: 4+67=71, Resulting Numbers: [69, 71]
Generated Node #0,1,0: 86:[69, 71] Operation: 4+67=71
Exploring Operation: 69-4=65, Resulting Numbers: [67, 65]
Generated Node #0,1,1: 86:[67, 65] Operation: 69-4=65
Exploring Operation: 69-67=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 86:[4, 2] Operation: 69-67=2
Exploring Operation: 4+69=73, Resulting Numbers: [67, 73]
Generated Node #0,1,3: 86:[67, 73] Operation: 4+69=73
Exploring Operation: 67-4=63, Resulting Numbers: [69, 63]
Generated Node #0,1,4: 86:[69, 63] Operation: 67-4=63
Moving to Node #0,4
Current State: 86:[67, 26, 91], Operations: ['95-4=91']
Exploring Operation: 91-26=65, Resulting Numbers: [67, 65]
Generated Node #0,4,0: 86:[67, 65] Operation: 91-26=65
Exploring Operation: 67-26=41, Resulting Numbers: [91, 41]
Generated Node #0,4,1: 86:[91, 41] Operation: 67-26=41
Exploring Operation: 26+91=117, Resulting Numbers: [67, 117]
Generated Node #0,4,2: 86:[67, 117] Operation: 26+91=117
Exploring Operation: 91-67=24, Resulting Numbers: [26, 24]
Generated Node #0,4,3: 86:[26, 24] Operation: 91-67=24
Exploring Operation: 67+26=93, Resulting Numbers: [91, 93]
Generated Node #0,4,4: 86:[91, 93] Operation: 67+26=93
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 86:[91, 41], Operations: ['95-4=91', '67-26=41']
Exploring Operation: 91*41=3731, Resulting Numbers: [3731]
3731,86 unequal: No Solution
Exploring Operation: 91+41=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 91-41=50, Resulting Numbers: [50]
50,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 86:[91, 93], Operations: ['95-4=91', '67+26=93']
Exploring Operation: 91+93=184, Resulting Numbers: [184]
184,86 unequal: No Solution
Exploring Operation: 91*93=8463, Resulting Numbers: [8463]
8463,86 unequal: No Solution
Exploring Operation: 93-91=2, Resulting Numbers: [2]
2,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 86:[26, 24], Operations: ['95-4=91', '91-67=24']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 26*24=624, Resulting Numbers: [624]
624,86 unequal: No Solution
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 86:[67, 65], Operations: ['95-4=91', '91-26=65']
Exploring Operation: 67*65=4355, Resulting Numbers: [4355]
4355,86 unequal: No Solution
Exploring Operation: 67-65=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 67+65=132, Resulting Numbers: [132]
132,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 86:[67, 117], Operations: ['95-4=91', '26+91=117']
Exploring Operation: 117-67=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 67*117=7839, Resulting Numbers: [7839]
7839,86 unequal: No Solution
Exploring Operation: 67+117=184, Resulting Numbers: [184]
184,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 86:[4, 2], Operations: ['67+26=93', '95-93=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[4, 2], Operations: ['95-26=69', '69-67=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Moving to Node #0,3,4
Current State: 86:[95, 89], Operations: ['67+26=93', '93-4=89']
Exploring Operation: 95-89=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 95+89=184, Resulting Numbers: [184]
184,86 unequal: No Solution
Exploring Operation: 95*89=8455, Resulting Numbers: [8455]
8455,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[93, 91], Operations: ['67+26=93', '95-4=91']
Exploring Operation: 93-91=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 93*91=8463, Resulting Numbers: [8463]
8463,86 unequal: No Solution
Exploring Operation: 93+91=184, Resulting Numbers: [184]
184,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[95, 97], Operations: ['67+26=93', '4+93=97']
Exploring Operation: 95+97=192, Resulting Numbers: [192]
192,86 unequal: No Solution
Exploring Operation: 97-95=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 95*97=9215, Resulting Numbers: [9215]
9215,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[93, 99], Operations: ['67+26=93', '4+95=99']
Exploring Operation: 93*99=9207, Resulting Numbers: [9207]
9207,86 unequal: No Solution
Exploring Operation: 99-93=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 93+99=192, Resulting Numbers: [192]
192,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[69, 71], Operations: ['95-26=69', '4+67=71']
Exploring Operation: 69*71=4899, Resulting Numbers: [4899]
4899,86 unequal: No Solution
Exploring Operation: 69+71=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Exploring Operation: 71-69=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[67, 73], Operations: ['95-26=69', '4+69=73']
Exploring Operation: 73-67=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 67*73=4891, Resulting Numbers: [4891]
4891,86 unequal: No Solution
Exploring Operation: 67+73=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0,1,4
Current State: 86:[69, 63], Operations: ['95-26=69', '67-4=63']
Exploring Operation: 69-63=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 69+63=132, Resulting Numbers: [132]
132,86 unequal: No Solution
Exploring Operation: 69*63=4347, Resulting Numbers: [4347]
4347,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[67, 65], Operations: ['95-26=69', '69-4=65']
Exploring Operation: 67-65=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 67*65=4355, Resulting Numbers: [4355]
4355,86 unequal: No Solution
Exploring Operation: 67+65=132, Resulting Numbers: [132]
132,86 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
99,
57,
2,
89
] | 77 | [
"99-89=10",
"2*10=20",
"57+20=77"
] | Current State: 77:[99, 57, 2, 89], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [57, 2, 10]
Generated Node #2: [57, 2, 10] from Operation: 99-89=10
Current State: 77:[57, 2, 10], Operations: ['99-89=10']
Exploring Operation: 2*10=20, Resulting Numbers: [57, 20]
Generated Node #3: [57, 20] from Operation: 2*10=20
Current State: 77:[57, 20], Operations: ['99-89=10', '2*10=20']
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[99, 57, 2, 89], Operations: []
Exploring Operation: 99-57=42, Resulting Numbers: [2, 89, 42]
Generated Node #0,0: 77:[2, 89, 42] Operation: 99-57=42
Exploring Operation: 99-89=10, Resulting Numbers: [57, 2, 10]
Generated Node #0,1: 77:[57, 2, 10] Operation: 99-89=10
Moving to Node #0,1
Current State: 77:[57, 2, 10], Operations: ['99-89=10']
Exploring Operation: 57+2=59, Resulting Numbers: [10, 59]
Generated Node #0,1,0: 77:[10, 59] Operation: 57+2=59
Exploring Operation: 57+10=67, Resulting Numbers: [2, 67]
Generated Node #0,1,1: 77:[2, 67] Operation: 57+10=67
Moving to Node #0,0
Current State: 77:[2, 89, 42], Operations: ['99-57=42']
Exploring Operation: 2*42=84, Resulting Numbers: [89, 84]
Generated Node #0,0,0: 77:[89, 84] Operation: 2*42=84
Exploring Operation: 42/2=21, Resulting Numbers: [89, 21]
Generated Node #0,0,1: 77:[89, 21] Operation: 42/2=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[89, 84], Operations: ['99-57=42', '2*42=84']
Exploring Operation: 89+84=173, Resulting Numbers: [173]
173,77 unequal: No Solution
Exploring Operation: 89-84=5, Resulting Numbers: [5]
5,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[89, 21], Operations: ['99-57=42', '42/2=21']
Exploring Operation: 89-21=68, Resulting Numbers: [68]
68,77 unequal: No Solution
Exploring Operation: 89+21=110, Resulting Numbers: [110]
110,77 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: 77:[2, 67], Operations: ['99-89=10', '57+10=67']
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,77 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[10, 59], Operations: ['99-89=10', '57+2=59']
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,77 unequal: No Solution
Exploring Operation: 10+59=69, Resulting Numbers: [69]
69,77 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
66,
47,
42,
56
] | 41 | [
"66*56=3696",
"3696/42=88",
"88-47=41"
] | Current State: 41:[66, 47, 42, 56], Operations: []
Exploring Operation: 66*56=3696, Resulting Numbers: [47, 42, 3696]
Generated Node #2: [47, 42, 3696] from Operation: 66*56=3696
Current State: 41:[47, 42, 3696], Operations: ['66*56=3696']
Exploring Operation: 3696/42=88, Resulting Numbers: [47, 88]
Generated Node #3: [47, 88] from Operation: 3696/42=88
Current State: 41:[47, 88], Operations: ['66*56=3696', '3696/42=88']
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[66, 47, 42, 56], Operations: []
Exploring Operation: 66-56=10, Resulting Numbers: [47, 42, 10]
Generated Node #0,0: 41:[47, 42, 10] Operation: 66-56=10
Exploring Operation: 66-42=24, Resulting Numbers: [47, 56, 24]
Generated Node #0,1: 41:[47, 56, 24] Operation: 66-42=24
Exploring Operation: 56-47=9, Resulting Numbers: [66, 42, 9]
Generated Node #0,2: 41:[66, 42, 9] Operation: 56-47=9
Exploring Operation: 66-47=19, Resulting Numbers: [42, 56, 19]
Generated Node #0,3: 41:[42, 56, 19] Operation: 66-47=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[47, 42, 10], Operations: ['66-56=10']
Exploring Operation: 42-10=32, Resulting Numbers: [47, 32]
Generated Node #0,0,0: 41:[47, 32] Operation: 42-10=32
Exploring Operation: 42+10=52, Resulting Numbers: [47, 52]
Generated Node #0,0,1: 41:[47, 52] Operation: 42+10=52
Exploring Operation: 47+10=57, Resulting Numbers: [42, 57]
Generated Node #0,0,2: 41:[42, 57] Operation: 47+10=57
Exploring Operation: 47-10=37, Resulting Numbers: [42, 37]
Generated Node #0,0,3: 41:[42, 37] Operation: 47-10=37
Moving to Node #0,0,3
Current State: 41:[42, 37], Operations: ['66-56=10', '47-10=37']
Exploring Operation: 42*37=1554, Resulting Numbers: [1554]
1554,41 unequal: No Solution
Exploring Operation: 42+37=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[47, 32], Operations: ['66-56=10', '42-10=32']
Exploring Operation: 47+32=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 47*32=1504, Resulting Numbers: [1504]
1504,41 unequal: No Solution
Exploring Operation: 47-32=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[42, 57], Operations: ['66-56=10', '47+10=57']
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 42*57=2394, Resulting Numbers: [2394]
2394,41 unequal: No Solution
Exploring Operation: 42+57=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[47, 52], Operations: ['66-56=10', '42+10=52']
Exploring Operation: 52-47=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 47+52=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 47*52=2444, Resulting Numbers: [2444]
2444,41 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
Current State: 41:[47, 56, 24], Operations: ['66-42=24']
Exploring Operation: 56-24=32, Resulting Numbers: [47, 32]
Generated Node #0,1,0: 41:[47, 32] Operation: 56-24=32
Exploring Operation: 47-24=23, Resulting Numbers: [56, 23]
Generated Node #0,1,1: 41:[56, 23] Operation: 47-24=23
Exploring Operation: 47+24=71, Resulting Numbers: [56, 71]
Generated Node #0,1,2: 41:[56, 71] Operation: 47+24=71
Exploring Operation: 56+24=80, Resulting Numbers: [47, 80]
Generated Node #0,1,3: 41:[47, 80] Operation: 56+24=80
Moving to Node #0,1,0
Current State: 41:[47, 32], Operations: ['66-42=24', '56-24=32']
Exploring Operation: 47-32=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 47*32=1504, Resulting Numbers: [1504]
1504,41 unequal: No Solution
Exploring Operation: 47+32=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[56, 23], Operations: ['66-42=24', '47-24=23']
Exploring Operation: 56*23=1288, Resulting Numbers: [1288]
1288,41 unequal: No Solution
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 56+23=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[47, 80], Operations: ['66-42=24', '56+24=80']
Exploring Operation: 47+80=127, Resulting Numbers: [127]
127,41 unequal: No Solution
Exploring Operation: 80-47=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 47*80=3760, Resulting Numbers: [3760]
3760,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[56, 71], Operations: ['66-42=24', '47+24=71']
Exploring Operation: 56+71=127, Resulting Numbers: [127]
127,41 unequal: No Solution
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 56*71=3976, Resulting Numbers: [3976]
3976,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[42, 56, 19], Operations: ['66-47=19']
Exploring Operation: 56-19=37, Resulting Numbers: [42, 37]
Generated Node #0,3,0: 41:[42, 37] Operation: 56-19=37
Exploring Operation: 56+19=75, Resulting Numbers: [42, 75]
Generated Node #0,3,1: 41:[42, 75] Operation: 56+19=75
Exploring Operation: 42+19=61, Resulting Numbers: [56, 61]
Generated Node #0,3,2: 41:[56, 61] Operation: 42+19=61
Exploring Operation: 42-19=23, Resulting Numbers: [56, 23]
Generated Node #0,3,3: 41:[56, 23] Operation: 42-19=23
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 41:[42, 37], Operations: ['66-47=19', '56-19=37']
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 42*37=1554, Resulting Numbers: [1554]
1554,41 unequal: No Solution
Exploring Operation: 42+37=79, Resulting Numbers: [79]
79,41 unequal: No Solution
No 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: 41:[56, 23], Operations: ['66-47=19', '42-19=23']
Exploring Operation: 56+23=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 56*23=1288, Resulting Numbers: [1288]
1288,41 unequal: No Solution
No 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: 41:[42, 75], Operations: ['66-47=19', '56+19=75']
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,41 unequal: No Solution
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,41 unequal: No Solution
No 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: 41:[56, 61], Operations: ['66-47=19', '42+19=61']
Exploring Operation: 56+61=117, Resulting Numbers: [117]
117,41 unequal: No Solution
Exploring Operation: 56*61=3416, Resulting Numbers: [3416]
3416,41 unequal: No Solution
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,41 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: 41:[66, 42, 9], Operations: ['56-47=9']
Exploring Operation: 66+9=75, Resulting Numbers: [42, 75]
Generated Node #0,2,0: 41:[42, 75] Operation: 66+9=75
Exploring Operation: 42+9=51, Resulting Numbers: [66, 51]
Generated Node #0,2,1: 41:[66, 51] Operation: 42+9=51
Exploring Operation: 42-9=33, Resulting Numbers: [66, 33]
Generated Node #0,2,2: 41:[66, 33] Operation: 42-9=33
Exploring Operation: 66-9=57, Resulting Numbers: [42, 57]
Generated Node #0,2,3: 41:[42, 57] Operation: 66-9=57
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 41:[42, 57], Operations: ['56-47=9', '66-9=57']
Exploring Operation: 42*57=2394, Resulting Numbers: [2394]
2394,41 unequal: No Solution
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 42+57=99, Resulting Numbers: [99]
99,41 unequal: No Solution
No 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: 41:[66, 33], Operations: ['56-47=9', '42-9=33']
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 66*33=2178, Resulting Numbers: [2178]
2178,41 unequal: No Solution
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 66/33=2, Resulting Numbers: [2]
2,41 unequal: No Solution
No 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: 41:[42, 75], Operations: ['56-47=9', '66+9=75']
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,41 unequal: No Solution
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,41 unequal: No Solution
No 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: 41:[66, 51], Operations: ['56-47=9', '42+9=51']
Exploring Operation: 66*51=3366, Resulting Numbers: [3366]
3366,41 unequal: No Solution
Exploring Operation: 66+51=117, Resulting Numbers: [117]
117,41 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
54,
8,
50,
52
] | 65 | [
"54+50=104",
"104/8=13",
"52+13=65"
] | Current State: 65:[54, 8, 50, 52], Operations: []
Exploring Operation: 54+50=104, Resulting Numbers: [8, 52, 104]
Generated Node #2: [8, 52, 104] from Operation: 54+50=104
Current State: 65:[8, 52, 104], Operations: ['54+50=104']
Exploring Operation: 104/8=13, Resulting Numbers: [52, 13]
Generated Node #3: [52, 13] from Operation: 104/8=13
Current State: 65:[52, 13], Operations: ['54+50=104', '104/8=13']
Exploring Operation: 52+13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[54, 8, 50, 52], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [8, 50, 2]
Generated Node #0,0: 65:[8, 50, 2] Operation: 54-52=2
Exploring Operation: 54-50=4, Resulting Numbers: [8, 52, 4]
Generated Node #0,1: 65:[8, 52, 4] Operation: 54-50=4
Exploring Operation: 52-50=2, Resulting Numbers: [54, 8, 2]
Generated Node #0,2: 65:[54, 8, 2] Operation: 52-50=2
Moving to Node #0,1
Current State: 65:[8, 52, 4], Operations: ['54-50=4']
Exploring Operation: 8+52=60, Resulting Numbers: [4, 60]
Generated Node #0,1,0: 65:[4, 60] Operation: 8+52=60
Exploring Operation: 52/4=13, Resulting Numbers: [8, 13]
Generated Node #0,1,1: 65:[8, 13] Operation: 52/4=13
Exploring Operation: 52+4=56, Resulting Numbers: [8, 56]
Generated Node #0,1,2: 65:[8, 56] Operation: 52+4=56
Moving to Node #0,2
Current State: 65:[54, 8, 2], Operations: ['52-50=2']
Exploring Operation: 8-2=6, Resulting Numbers: [54, 6]
Generated Node #0,2,0: 65:[54, 6] Operation: 8-2=6
Exploring Operation: 54+2=56, Resulting Numbers: [8, 56]
Generated Node #0,2,1: 65:[8, 56] Operation: 54+2=56
Exploring Operation: 54+8=62, Resulting Numbers: [2, 62]
Generated Node #0,2,2: 65:[2, 62] Operation: 54+8=62
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 65:[2, 62], Operations: ['52-50=2', '54+8=62']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 65:[54, 6], Operations: ['52-50=2', '8-2=6']
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 65:[8, 56], Operations: ['52-50=2', '54+2=56']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,65 unequal: No Solution
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,65 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: 65:[8, 50, 2], Operations: ['54-52=2']
Exploring Operation: 8+50=58, Resulting Numbers: [2, 58]
Generated Node #0,0,0: 65:[2, 58] Operation: 8+50=58
Exploring Operation: 8-2=6, Resulting Numbers: [50, 6]
Generated Node #0,0,1: 65:[50, 6] Operation: 8-2=6
Exploring Operation: 50/2=25, Resulting Numbers: [8, 25]
Generated Node #0,0,2: 65:[8, 25] Operation: 50/2=25
Moving to Node #0,1,1
Current State: 65:[8, 13], Operations: ['54-50=4', '52/4=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,65 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[4, 60], Operations: ['54-50=4', '8+52=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[2, 58], Operations: ['54-52=2', '8+50=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[8, 56], Operations: ['54-50=4', '52+4=56']
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,65 unequal: No Solution
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[8, 25], Operations: ['54-52=2', '50/2=25']
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,65 unequal: No Solution
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[50, 6], Operations: ['54-52=2', '8-2=6']
Exploring Operation: 50*6=300, Resulting Numbers: [300]
300,65 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,65 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
72,
46,
20,
3
] | 30 | [
"72-3=69",
"20*69=1380",
"1380/46=30"
] | Current State: 30:[72, 46, 20, 3], Operations: []
Exploring Operation: 72-3=69, Resulting Numbers: [46, 20, 69]
Generated Node #2: [46, 20, 69] from Operation: 72-3=69
Current State: 30:[46, 20, 69], Operations: ['72-3=69']
Exploring Operation: 20*69=1380, Resulting Numbers: [46, 1380]
Generated Node #3: [46, 1380] from Operation: 20*69=1380
Current State: 30:[46, 1380], Operations: ['72-3=69', '20*69=1380']
Exploring Operation: 1380/46=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[72, 46, 20, 3], Operations: []
Exploring Operation: 72/3=24, Resulting Numbers: [46, 20, 24]
Generated Node #0,0: 30:[46, 20, 24] Operation: 72/3=24
Exploring Operation: 72-46=26, Resulting Numbers: [20, 3, 26]
Generated Node #0,1: 30:[20, 3, 26] Operation: 72-46=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[20, 3, 26], Operations: ['72-46=26']
Exploring Operation: 26-20=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 30:[3, 6] Operation: 26-20=6
Exploring Operation: 20-3=17, Resulting Numbers: [26, 17]
Generated Node #0,1,1: 30:[26, 17] Operation: 20-3=17
Moving to Node #0,1,0
Current State: 30:[3, 6], Operations: ['72-46=26', '26-20=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[26, 17], Operations: ['72-46=26', '20-3=17']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,30 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
Current State: 30:[46, 20, 24], Operations: ['72/3=24']
Exploring Operation: 46-24=22, Resulting Numbers: [20, 22]
Generated Node #0,0,0: 30:[20, 22] Operation: 46-24=22
Exploring Operation: 46-20=26, Resulting Numbers: [24, 26]
Generated Node #0,0,1: 30:[24, 26] Operation: 46-20=26
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[24, 26], Operations: ['72/3=24', '46-20=26']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,30 unequal: No Solution
No 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: 30:[20, 22], Operations: ['72/3=24', '46-24=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
12,
11,
78,
95
] | 41 | [
"12*11=132",
"78+95=173",
"173-132=41"
] | Current State: 41:[12, 11, 78, 95], Operations: []
Exploring Operation: 12*11=132, Resulting Numbers: [78, 95, 132]
Generated Node #2: [78, 95, 132] from Operation: 12*11=132
Current State: 41:[78, 95, 132], Operations: ['12*11=132']
Exploring Operation: 78+95=173, Resulting Numbers: [132, 173]
Generated Node #3: [132, 173] from Operation: 78+95=173
Current State: 41:[132, 173], Operations: ['12*11=132', '78+95=173']
Exploring Operation: 173-132=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[12, 11, 78, 95], Operations: []
Exploring Operation: 95-12=83, Resulting Numbers: [11, 78, 83]
Generated Node #0,0: 41:[11, 78, 83] Operation: 95-12=83
Exploring Operation: 95-78=17, Resulting Numbers: [12, 11, 17]
Generated Node #0,1: 41:[12, 11, 17] Operation: 95-78=17
Exploring Operation: 78-11=67, Resulting Numbers: [12, 95, 67]
Generated Node #0,2: 41:[12, 95, 67] Operation: 78-11=67
Exploring Operation: 78-12=66, Resulting Numbers: [11, 95, 66]
Generated Node #0,3: 41:[11, 95, 66] Operation: 78-12=66
Exploring Operation: 12+11=23, Resulting Numbers: [78, 95, 23]
Generated Node #0,4: 41:[78, 95, 23] Operation: 12+11=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[12, 11, 17], Operations: ['95-78=17']
Exploring Operation: 12-11=1, Resulting Numbers: [17, 1]
Generated Node #0,1,0: 41:[17, 1] Operation: 12-11=1
Exploring Operation: 12+17=29, Resulting Numbers: [11, 29]
Generated Node #0,1,1: 41:[11, 29] Operation: 12+17=29
Exploring Operation: 12+11=23, Resulting Numbers: [17, 23]
Generated Node #0,1,2: 41:[17, 23] Operation: 12+11=23
Exploring Operation: 17-11=6, Resulting Numbers: [12, 6]
Generated Node #0,1,3: 41:[12, 6] Operation: 17-11=6
Exploring Operation: 11+17=28, Resulting Numbers: [12, 28]
Generated Node #0,1,4: 41:[12, 28] Operation: 11+17=28
Moving to Node #0,1,1
Current State: 41:[11, 29], Operations: ['95-78=17', '12+17=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[12, 28], Operations: ['95-78=17', '11+17=28']
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,41 unequal: No Solution
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[17, 23], Operations: ['95-78=17', '12+11=23']
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 17*23=391, Resulting Numbers: [391]
391,41 unequal: No Solution
Exploring Operation: 17+23=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[17, 1], Operations: ['95-78=17', '12-11=1']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[12, 6], Operations: ['95-78=17', '17-11=6']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,41 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
Current State: 41:[11, 78, 83], Operations: ['95-12=83']
Exploring Operation: 11+78=89, Resulting Numbers: [83, 89]
Generated Node #0,0,0: 41:[83, 89] Operation: 11+78=89
Exploring Operation: 11+83=94, Resulting Numbers: [78, 94]
Generated Node #0,0,1: 41:[78, 94] Operation: 11+83=94
Exploring Operation: 83-78=5, Resulting Numbers: [11, 5]
Generated Node #0,0,2: 41:[11, 5] Operation: 83-78=5
Exploring Operation: 78-11=67, Resulting Numbers: [83, 67]
Generated Node #0,0,3: 41:[83, 67] Operation: 78-11=67
Exploring Operation: 83-11=72, Resulting Numbers: [78, 72]
Generated Node #0,0,4: 41:[78, 72] Operation: 83-11=72
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 41:[11, 5], Operations: ['95-12=83', '83-78=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,41 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,41 unequal: No Solution
No 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: 41:[83, 67], Operations: ['95-12=83', '78-11=67']
Exploring Operation: 83*67=5561, Resulting Numbers: [5561]
5561,41 unequal: No Solution
Exploring Operation: 83-67=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 83+67=150, Resulting Numbers: [150]
150,41 unequal: No Solution
No 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: 41:[78, 72], Operations: ['95-12=83', '83-11=72']
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 78*72=5616, Resulting Numbers: [5616]
5616,41 unequal: No Solution
Exploring Operation: 78+72=150, Resulting Numbers: [150]
150,41 unequal: No Solution
No 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: 41:[83, 89], Operations: ['95-12=83', '11+78=89']
Exploring Operation: 83+89=172, Resulting Numbers: [172]
172,41 unequal: No Solution
Exploring Operation: 83*89=7387, Resulting Numbers: [7387]
7387,41 unequal: No Solution
Exploring Operation: 89-83=6, Resulting Numbers: [6]
6,41 unequal: No Solution
No 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: 41:[78, 94], Operations: ['95-12=83', '11+83=94']
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 78+94=172, Resulting Numbers: [172]
172,41 unequal: No Solution
Exploring Operation: 78*94=7332, Resulting Numbers: [7332]
7332,41 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: 41:[12, 95, 67], Operations: ['78-11=67']
Exploring Operation: 95-67=28, Resulting Numbers: [12, 28]
Generated Node #0,2,0: 41:[12, 28] Operation: 95-67=28
Exploring Operation: 67-12=55, Resulting Numbers: [95, 55]
Generated Node #0,2,1: 41:[95, 55] Operation: 67-12=55
Exploring Operation: 95-12=83, Resulting Numbers: [67, 83]
Generated Node #0,2,2: 41:[67, 83] Operation: 95-12=83
Exploring Operation: 12+67=79, Resulting Numbers: [95, 79]
Generated Node #0,2,3: 41:[95, 79] Operation: 12+67=79
Exploring Operation: 12+95=107, Resulting Numbers: [67, 107]
Generated Node #0,2,4: 41:[67, 107] Operation: 12+95=107
Moving to Node #0,2,0
Current State: 41:[12, 28], Operations: ['78-11=67', '95-67=28']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[67, 83], Operations: ['78-11=67', '95-12=83']
Exploring Operation: 67*83=5561, Resulting Numbers: [5561]
5561,41 unequal: No Solution
Exploring Operation: 67+83=150, Resulting Numbers: [150]
150,41 unequal: No Solution
Exploring Operation: 83-67=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[95, 55], Operations: ['78-11=67', '67-12=55']
Exploring Operation: 95+55=150, Resulting Numbers: [150]
150,41 unequal: No Solution
Exploring Operation: 95*55=5225, Resulting Numbers: [5225]
5225,41 unequal: No Solution
Exploring Operation: 95-55=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[95, 79], Operations: ['78-11=67', '12+67=79']
Exploring Operation: 95*79=7505, Resulting Numbers: [7505]
7505,41 unequal: No Solution
Exploring Operation: 95+79=174, Resulting Numbers: [174]
174,41 unequal: No Solution
Exploring Operation: 95-79=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Moving to Node #0,2,4
Current State: 41:[67, 107], Operations: ['78-11=67', '12+95=107']
Exploring Operation: 67+107=174, Resulting Numbers: [174]
174,41 unequal: No Solution
Exploring Operation: 107-67=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 67*107=7169, Resulting Numbers: [7169]
7169,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[11, 95, 66], Operations: ['78-12=66']
Exploring Operation: 66/11=6, Resulting Numbers: [95, 6]
Generated Node #0,3,0: 41:[95, 6] Operation: 66/11=6
Exploring Operation: 66-11=55, Resulting Numbers: [95, 55]
Generated Node #0,3,1: 41:[95, 55] Operation: 66-11=55
Exploring Operation: 95-66=29, Resulting Numbers: [11, 29]
Generated Node #0,3,2: 41:[11, 29] Operation: 95-66=29
Exploring Operation: 11+95=106, Resulting Numbers: [66, 106]
Generated Node #0,3,3: 41:[66, 106] Operation: 11+95=106
Exploring Operation: 95-11=84, Resulting Numbers: [66, 84]
Generated Node #0,3,4: 41:[66, 84] Operation: 95-11=84
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 41:[11, 29], Operations: ['78-12=66', '95-66=29']
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,41 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,41 unequal: No Solution
No 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: 41:[95, 55], Operations: ['78-12=66', '66-11=55']
Exploring Operation: 95-55=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 95+55=150, Resulting Numbers: [150]
150,41 unequal: No Solution
Exploring Operation: 95*55=5225, Resulting Numbers: [5225]
5225,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 41:[66, 84], Operations: ['78-12=66', '95-11=84']
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 66+84=150, Resulting Numbers: [150]
150,41 unequal: No Solution
Exploring Operation: 66*84=5544, Resulting Numbers: [5544]
5544,41 unequal: No Solution
No 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: 41:[95, 6], Operations: ['78-12=66', '66/11=6']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,41 unequal: No Solution
Exploring Operation: 95+6=101, Resulting Numbers: [101]
101,41 unequal: No Solution
Exploring Operation: 95*6=570, Resulting Numbers: [570]
570,41 unequal: No Solution
No 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: 41:[66, 106], Operations: ['78-12=66', '11+95=106']
Exploring Operation: 106-66=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 66+106=172, Resulting Numbers: [172]
172,41 unequal: No Solution
Exploring Operation: 66*106=6996, Resulting Numbers: [6996]
6996,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 41:[78, 95, 23], Operations: ['12+11=23']
Exploring Operation: 95-23=72, Resulting Numbers: [78, 72]
Generated Node #0,4,0: 41:[78, 72] Operation: 95-23=72
Exploring Operation: 95+23=118, Resulting Numbers: [78, 118]
Generated Node #0,4,1: 41:[78, 118] Operation: 95+23=118
Exploring Operation: 78+23=101, Resulting Numbers: [95, 101]
Generated Node #0,4,2: 41:[95, 101] Operation: 78+23=101
Exploring Operation: 95-78=17, Resulting Numbers: [23, 17]
Generated Node #0,4,3: 41:[23, 17] Operation: 95-78=17
Exploring Operation: 78-23=55, Resulting Numbers: [95, 55]
Generated Node #0,4,4: 41:[95, 55] Operation: 78-23=55
Moving to Node #0,4,3
Current State: 41:[23, 17], Operations: ['12+11=23', '95-78=17']
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 23+17=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 23*17=391, Resulting Numbers: [391]
391,41 unequal: No Solution
Moving to Node #0,4,4
Current State: 41:[95, 55], Operations: ['12+11=23', '78-23=55']
Exploring Operation: 95-55=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 95+55=150, Resulting Numbers: [150]
150,41 unequal: No Solution
Exploring Operation: 95*55=5225, Resulting Numbers: [5225]
5225,41 unequal: No Solution
Moving to Node #0,4,0
Current State: 41:[78, 72], Operations: ['12+11=23', '95-23=72']
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 78*72=5616, Resulting Numbers: [5616]
5616,41 unequal: No Solution
Exploring Operation: 78+72=150, Resulting Numbers: [150]
150,41 unequal: No Solution
Moving to Node #0,4,1
Current State: 41:[78, 118], Operations: ['12+11=23', '95+23=118']
Exploring Operation: 78*118=9204, Resulting Numbers: [9204]
9204,41 unequal: No Solution
Exploring Operation: 78+118=196, Resulting Numbers: [196]
196,41 unequal: No Solution
Exploring Operation: 118-78=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Moving to Node #0,4,2
Current State: 41:[95, 101], Operations: ['12+11=23', '78+23=101']
Exploring Operation: 95*101=9595, Resulting Numbers: [9595]
9595,41 unequal: No Solution
Exploring Operation: 101-95=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 95+101=196, Resulting Numbers: [196]
196,41 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 |
[
47,
88,
3,
26
] | 28 | [
"47-3=44",
"88/44=2",
"26+2=28"
] | Current State: 28:[47, 88, 3, 26], Operations: []
Exploring Operation: 47-3=44, Resulting Numbers: [88, 26, 44]
Generated Node #2: [88, 26, 44] from Operation: 47-3=44
Current State: 28:[88, 26, 44], Operations: ['47-3=44']
Exploring Operation: 88/44=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 88/44=2
Current State: 28:[26, 2], Operations: ['47-3=44', '88/44=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[47, 88, 3, 26], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [3, 26, 41]
Generated Node #0,0: 28:[3, 26, 41] Operation: 88-47=41
Exploring Operation: 47-26=21, Resulting Numbers: [88, 3, 21]
Generated Node #0,1: 28:[88, 3, 21] Operation: 47-26=21
Exploring Operation: 88-26=62, Resulting Numbers: [47, 3, 62]
Generated Node #0,2: 28:[47, 3, 62] Operation: 88-26=62
Moving to Node #0,0
Current State: 28:[3, 26, 41], Operations: ['88-47=41']
Exploring Operation: 41-3=38, Resulting Numbers: [26, 38]
Generated Node #0,0,0: 28:[26, 38] Operation: 41-3=38
Exploring Operation: 41-26=15, Resulting Numbers: [3, 15]
Generated Node #0,0,1: 28:[3, 15] Operation: 41-26=15
Exploring Operation: 3+26=29, Resulting Numbers: [41, 29]
Generated Node #0,0,2: 28:[41, 29] Operation: 3+26=29
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[3, 15], Operations: ['88-47=41', '41-26=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[26, 38], Operations: ['88-47=41', '41-3=38']
Exploring Operation: 26*38=988, Resulting Numbers: [988]
988,28 unequal: No Solution
Exploring Operation: 26+38=64, Resulting Numbers: [64]
64,28 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 28:[41, 29], Operations: ['88-47=41', '3+26=29']
Exploring Operation: 41*29=1189, Resulting Numbers: [1189]
1189,28 unequal: No Solution
Exploring Operation: 41+29=70, Resulting Numbers: [70]
70,28 unequal: No Solution
Exploring Operation: 41-29=12, Resulting Numbers: [12]
12,28 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: 28:[47, 3, 62], Operations: ['88-26=62']
Exploring Operation: 47-3=44, Resulting Numbers: [62, 44]
Generated Node #0,2,0: 28:[62, 44] Operation: 47-3=44
Exploring Operation: 62-47=15, Resulting Numbers: [3, 15]
Generated Node #0,2,1: 28:[3, 15] Operation: 62-47=15
Exploring Operation: 62-3=59, Resulting Numbers: [47, 59]
Generated Node #0,2,2: 28:[47, 59] Operation: 62-3=59
Moving to Node #0,1
Current State: 28:[88, 3, 21], Operations: ['47-26=21']
Exploring Operation: 88-21=67, Resulting Numbers: [3, 67]
Generated Node #0,1,0: 28:[3, 67] Operation: 88-21=67
Exploring Operation: 88-3=85, Resulting Numbers: [21, 85]
Generated Node #0,1,1: 28:[21, 85] Operation: 88-3=85
Exploring Operation: 21/3=7, Resulting Numbers: [88, 7]
Generated Node #0,1,2: 28:[88, 7] Operation: 21/3=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[3, 67], Operations: ['47-26=21', '88-21=67']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,28 unequal: No Solution
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,28 unequal: No Solution
Exploring Operation: 3*67=201, Resulting Numbers: [201]
201,28 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 #0,1,2
Current State: 28:[88, 7], Operations: ['47-26=21', '21/3=7']
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,28 unequal: No Solution
Exploring Operation: 88*7=616, Resulting Numbers: [616]
616,28 unequal: No Solution
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,28 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 #0,1,1
Current State: 28:[21, 85], Operations: ['47-26=21', '88-3=85']
Exploring Operation: 21*85=1785, Resulting Numbers: [1785]
1785,28 unequal: No Solution
Exploring Operation: 21+85=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 85-21=64, Resulting Numbers: [64]
64,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 28:[3, 15], Operations: ['88-26=62', '62-47=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[62, 44], Operations: ['88-26=62', '47-3=44']
Exploring Operation: 62+44=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 62*44=2728, Resulting Numbers: [2728]
2728,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[47, 59], Operations: ['88-26=62', '62-3=59']
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 47+59=106, Resulting Numbers: [106]
106,28 unequal: No Solution
Exploring Operation: 47*59=2773, Resulting Numbers: [2773]
2773,28 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
41,
74,
74,
60
] | 19 | [
"41+74=115",
"74+60=134",
"134-115=19"
] | Current State: 19:[41, 74, 74, 60], Operations: []
Exploring Operation: 41+74=115, Resulting Numbers: [60, 115]
Generated Node #2: [60, 115] from Operation: 41+74=115
Current State: 19:[60, 115], Operations: ['41+74=115']
Exploring Operation: 74+60=134, Resulting Numbers: [115, 134]
Generated Node #3: [115, 134] from Operation: 74+60=134
Current State: 19:[115, 134], Operations: ['41+74=115', '74+60=134']
Exploring Operation: 134-115=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[41, 74, 74, 60], Operations: []
Exploring Operation: 74-41=33, Resulting Numbers: [74, 60, 33]
Generated Node #0,0: 19:[74, 60, 33] Operation: 74-41=33
Exploring Operation: 74-74=0, Resulting Numbers: [41, 60, 0]
Generated Node #0,1: 19:[41, 60, 0] Operation: 74-74=0
Exploring Operation: 74/74=1, Resulting Numbers: [41, 60, 1]
Generated Node #0,2: 19:[41, 60, 1] Operation: 74/74=1
Exploring Operation: 74-60=14, Resulting Numbers: [41, 74, 14]
Generated Node #0,3: 19:[41, 74, 14] Operation: 74-60=14
Exploring Operation: 74-60=14, Resulting Numbers: [41, 74, 14]
Generated Node #0,4: 19:[41, 74, 14] Operation: 74-60=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[41, 60, 1], Operations: ['74/74=1']
Exploring Operation: 41/1=41, Resulting Numbers: [60, 41]
Generated Node #0,2,0: 19:[60, 41] Operation: 41/1=41
Exploring Operation: 41-1=40, Resulting Numbers: [60, 40]
Generated Node #0,2,1: 19:[60, 40] Operation: 41-1=40
Exploring Operation: 60-41=19, Resulting Numbers: [1, 19]
Generated Node #0,2,2: 19:[1, 19] Operation: 60-41=19
Exploring Operation: 41*1=41, Resulting Numbers: [60, 41]
Generated Node #0,2,3: 19:[60, 41] Operation: 41*1=41
Exploring Operation: 60-1=59, Resulting Numbers: [41, 59]
Generated Node #0,2,4: 19:[41, 59] Operation: 60-1=59
Moving to Node #0,2,2
Current State: 19:[1, 19], Operations: ['74/74=1', '60-41=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[41, 74, 74, 60], Operations: []
Exploring Operation: 74/74=1, Resulting Numbers: [41, 60, 1]
Generated Node #0,2: 19:[41, 60, 1] Operation: 74/74=1
Moving to Node #0,2
Current State: 19:[41, 60, 1], Operations: ['74/74=1']
Exploring Operation: 60-41=19, Resulting Numbers: [1, 19]
Generated Node #0,2,2: 19:[1, 19] Operation: 60-41=19
Moving to Node #0,2,2
Current State: 19:[1, 19], Operations: ['74/74=1', '60-41=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
24,
94,
47,
65
] | 87 | [
"24+65=89",
"94/47=2",
"89-2=87"
] | Current State: 87:[24, 94, 47, 65], Operations: []
Exploring Operation: 24+65=89, Resulting Numbers: [94, 47, 89]
Generated Node #2: [94, 47, 89] from Operation: 24+65=89
Current State: 87:[94, 47, 89], Operations: ['24+65=89']
Exploring Operation: 94/47=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 94/47=2
Current State: 87:[89, 2], Operations: ['24+65=89', '94/47=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[24, 94, 47, 65], Operations: []
Exploring Operation: 94-65=29, Resulting Numbers: [24, 47, 29]
Generated Node #0,0: 87:[24, 47, 29] Operation: 94-65=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[24, 47, 29], Operations: ['94-65=29']
Exploring Operation: 47-24=23, Resulting Numbers: [29, 23]
Generated Node #0,0,0: 87:[29, 23] Operation: 47-24=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[29, 23], Operations: ['94-65=29', '47-24=23']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
71,
76,
33,
19
] | 95 | [
"71+76=147",
"33+19=52",
"147-52=95"
] | Current State: 95:[71, 76, 33, 19], Operations: []
Exploring Operation: 71+76=147, Resulting Numbers: [33, 19, 147]
Generated Node #2: [33, 19, 147] from Operation: 71+76=147
Current State: 95:[33, 19, 147], Operations: ['71+76=147']
Exploring Operation: 33+19=52, Resulting Numbers: [147, 52]
Generated Node #3: [147, 52] from Operation: 33+19=52
Current State: 95:[147, 52], Operations: ['71+76=147', '33+19=52']
Exploring Operation: 147-52=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[71, 76, 33, 19], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [33, 19, 5]
Generated Node #0,0: 95:[33, 19, 5] Operation: 76-71=5
Exploring Operation: 71+33=104, Resulting Numbers: [76, 19, 104]
Generated Node #0,1: 95:[76, 19, 104] Operation: 71+33=104
Exploring Operation: 71-33=38, Resulting Numbers: [76, 19, 38]
Generated Node #0,2: 95:[76, 19, 38] Operation: 71-33=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[33, 19, 5], Operations: ['76-71=5']
Exploring Operation: 19*5=95, Resulting Numbers: [33, 95]
Generated Node #0,0,0: 95:[33, 95] Operation: 19*5=95
Exploring Operation: 33-5=28, Resulting Numbers: [19, 28]
Generated Node #0,0,1: 95:[19, 28] Operation: 33-5=28
Exploring Operation: 33-19=14, Resulting Numbers: [5, 14]
Generated Node #0,0,2: 95:[5, 14] Operation: 33-19=14
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[5, 14], Operations: ['76-71=5', '33-19=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,95 unequal: No Solution
No 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: 95:[19, 28], Operations: ['76-71=5', '33-5=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,95 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,95 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,95 unequal: No Solution
No 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: 95:[33, 95], Operations: ['76-71=5', '19*5=95']
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 33+95=128, Resulting Numbers: [128]
128,95 unequal: No Solution
Exploring Operation: 33*95=3135, Resulting Numbers: [3135]
3135,95 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: 95:[76, 19, 104], Operations: ['71+33=104']
Exploring Operation: 76/19=4, Resulting Numbers: [104, 4]
Generated Node #0,1,0: 95:[104, 4] Operation: 76/19=4
Exploring Operation: 104-76=28, Resulting Numbers: [19, 28]
Generated Node #0,1,1: 95:[19, 28] Operation: 104-76=28
Exploring Operation: 76+19=95, Resulting Numbers: [104, 95]
Generated Node #0,1,2: 95:[104, 95] Operation: 76+19=95
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[19, 28], Operations: ['71+33=104', '104-76=28']
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,95 unequal: No Solution
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,95 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,95 unequal: No Solution
No 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: 95:[104, 95], Operations: ['71+33=104', '76+19=95']
Exploring Operation: 104+95=199, Resulting Numbers: [199]
199,95 unequal: No Solution
Exploring Operation: 104-95=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 104*95=9880, Resulting Numbers: [9880]
9880,95 unequal: No Solution
No 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: 95:[104, 4], Operations: ['71+33=104', '76/19=4']
Exploring Operation: 104-4=100, Resulting Numbers: [100]
100,95 unequal: No Solution
Exploring Operation: 104+4=108, Resulting Numbers: [108]
108,95 unequal: No Solution
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,95 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: 95:[76, 19, 38], Operations: ['71-33=38']
Exploring Operation: 76+19=95, Resulting Numbers: [38, 95]
Generated Node #0,2,0: 95:[38, 95] Operation: 76+19=95
Exploring Operation: 76/38=2, Resulting Numbers: [19, 2]
Generated Node #0,2,1: 95:[19, 2] Operation: 76/38=2
Exploring Operation: 76+38=114, Resulting Numbers: [19, 114]
Generated Node #0,2,2: 95:[19, 114] Operation: 76+38=114
Moving to Node #0,2,1
Current State: 95:[19, 2], Operations: ['71-33=38', '76/38=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,95 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[38, 95], Operations: ['71-33=38', '76+19=95']
Exploring Operation: 38*95=3610, Resulting Numbers: [3610]
3610,95 unequal: No Solution
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,95 unequal: No Solution
Exploring Operation: 38+95=133, Resulting Numbers: [133]
133,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[19, 114], Operations: ['71-33=38', '76+38=114']
Exploring Operation: 114/19=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 19+114=133, Resulting Numbers: [133]
133,95 unequal: No Solution
Exploring Operation: 114-19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[71, 76, 33, 19], Operations: []
Exploring Operation: 71-33=38, Resulting Numbers: [76, 19, 38]
Generated Node #0,2: 95:[76, 19, 38] Operation: 71-33=38
Moving to Node #0,2
Current State: 95:[76, 19, 38], Operations: ['71-33=38']
Exploring Operation: 76+38=114, Resulting Numbers: [19, 114]
Generated Node #0,2,2: 95:[19, 114] Operation: 76+38=114
Moving to Node #0,2,2
Current State: 95:[19, 114], Operations: ['71-33=38', '76+38=114']
Exploring Operation: 114-19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_3 | mult_heuristic |
[
18,
97,
2,
52
] | 62 | [
"18+52=70",
"70/2=35",
"97-35=62"
] | Current State: 62:[18, 97, 2, 52], Operations: []
Exploring Operation: 18+52=70, Resulting Numbers: [97, 2, 70]
Generated Node #2: [97, 2, 70] from Operation: 18+52=70
Current State: 62:[97, 2, 70], Operations: ['18+52=70']
Exploring Operation: 70/2=35, Resulting Numbers: [97, 35]
Generated Node #3: [97, 35] from Operation: 70/2=35
Current State: 62:[97, 35], Operations: ['18+52=70', '70/2=35']
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[18, 97, 2, 52], Operations: []
Exploring Operation: 18*2=36, Resulting Numbers: [97, 52, 36]
Generated Node #0,0: 62:[97, 52, 36] Operation: 18*2=36
Exploring Operation: 97-18=79, Resulting Numbers: [2, 52, 79]
Generated Node #0,1: 62:[2, 52, 79] Operation: 97-18=79
Exploring Operation: 18+52=70, Resulting Numbers: [97, 2, 70]
Generated Node #0,2: 62:[97, 2, 70] Operation: 18+52=70
Exploring Operation: 52-18=34, Resulting Numbers: [97, 2, 34]
Generated Node #0,3: 62:[97, 2, 34] Operation: 52-18=34
Exploring Operation: 97-52=45, Resulting Numbers: [18, 2, 45]
Generated Node #0,4: 62:[18, 2, 45] Operation: 97-52=45
Moving to Node #0,1
Current State: 62:[2, 52, 79], Operations: ['97-18=79']
Exploring Operation: 79-52=27, Resulting Numbers: [2, 27]
Generated Node #0,1,0: 62:[2, 27] Operation: 79-52=27
Exploring Operation: 2+52=54, Resulting Numbers: [79, 54]
Generated Node #0,1,1: 62:[79, 54] Operation: 2+52=54
Exploring Operation: 79-2=77, Resulting Numbers: [52, 77]
Generated Node #0,1,2: 62:[52, 77] Operation: 79-2=77
Exploring Operation: 52-2=50, Resulting Numbers: [79, 50]
Generated Node #0,1,3: 62:[79, 50] Operation: 52-2=50
Exploring Operation: 52/2=26, Resulting Numbers: [79, 26]
Generated Node #0,1,4: 62:[79, 26] Operation: 52/2=26
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[2, 27], Operations: ['97-18=79', '79-52=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 62:[79, 26], Operations: ['97-18=79', '52/2=26']
Exploring Operation: 79+26=105, Resulting Numbers: [105]
105,62 unequal: No Solution
Exploring Operation: 79*26=2054, Resulting Numbers: [2054]
2054,62 unequal: No Solution
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[79, 54], Operations: ['97-18=79', '2+52=54']
Exploring Operation: 79*54=4266, Resulting Numbers: [4266]
4266,62 unequal: No Solution
Exploring Operation: 79+54=133, Resulting Numbers: [133]
133,62 unequal: No Solution
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[52, 77], Operations: ['97-18=79', '79-2=77']
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 52*77=4004, Resulting Numbers: [4004]
4004,62 unequal: No Solution
Exploring Operation: 52+77=129, Resulting Numbers: [129]
129,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 62:[79, 50], Operations: ['97-18=79', '52-2=50']
Exploring Operation: 79-50=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 79+50=129, Resulting Numbers: [129]
129,62 unequal: No Solution
Exploring Operation: 79*50=3950, Resulting Numbers: [3950]
3950,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 62:[18, 2, 45], Operations: ['97-52=45']
Exploring Operation: 45-18=27, Resulting Numbers: [2, 27]
Generated Node #0,4,0: 62:[2, 27] Operation: 45-18=27
Exploring Operation: 18+45=63, Resulting Numbers: [2, 63]
Generated Node #0,4,1: 62:[2, 63] Operation: 18+45=63
Exploring Operation: 18/2=9, Resulting Numbers: [45, 9]
Generated Node #0,4,2: 62:[45, 9] Operation: 18/2=9
Exploring Operation: 18+2=20, Resulting Numbers: [45, 20]
Generated Node #0,4,3: 62:[45, 20] Operation: 18+2=20
Exploring Operation: 18*2=36, Resulting Numbers: [45, 36]
Generated Node #0,4,4: 62:[45, 36] Operation: 18*2=36
Moving to Node #0,3
Current State: 62:[97, 2, 34], Operations: ['52-18=34']
Exploring Operation: 2+34=36, Resulting Numbers: [97, 36]
Generated Node #0,3,0: 62:[97, 36] Operation: 2+34=36
Exploring Operation: 97+2=99, Resulting Numbers: [34, 99]
Generated Node #0,3,1: 62:[34, 99] Operation: 97+2=99
Exploring Operation: 97-34=63, Resulting Numbers: [2, 63]
Generated Node #0,3,2: 62:[2, 63] Operation: 97-34=63
Exploring Operation: 97-2=95, Resulting Numbers: [34, 95]
Generated Node #0,3,3: 62:[34, 95] Operation: 97-2=95
Exploring Operation: 34-2=32, Resulting Numbers: [97, 32]
Generated Node #0,3,4: 62:[97, 32] Operation: 34-2=32
Moving to Node #0,2
Current State: 62:[97, 2, 70], Operations: ['18+52=70']
Exploring Operation: 97-2=95, Resulting Numbers: [70, 95]
Generated Node #0,2,0: 62:[70, 95] Operation: 97-2=95
Exploring Operation: 97+2=99, Resulting Numbers: [70, 99]
Generated Node #0,2,1: 62:[70, 99] Operation: 97+2=99
Exploring Operation: 70/2=35, Resulting Numbers: [97, 35]
Generated Node #0,2,2: 62:[97, 35] Operation: 70/2=35
Exploring Operation: 70-2=68, Resulting Numbers: [97, 68]
Generated Node #0,2,3: 62:[97, 68] Operation: 70-2=68
Exploring Operation: 97-70=27, Resulting Numbers: [2, 27]
Generated Node #0,2,4: 62:[2, 27] Operation: 97-70=27
Moving to Node #0,0
Current State: 62:[97, 52, 36], Operations: ['18*2=36']
Exploring Operation: 52+36=88, Resulting Numbers: [97, 88]
Generated Node #0,0,0: 62:[97, 88] Operation: 52+36=88
Exploring Operation: 97+36=133, Resulting Numbers: [52, 133]
Generated Node #0,0,1: 62:[52, 133] Operation: 97+36=133
Exploring Operation: 52-36=16, Resulting Numbers: [97, 16]
Generated Node #0,0,2: 62:[97, 16] Operation: 52-36=16
Exploring Operation: 97-36=61, Resulting Numbers: [52, 61]
Generated Node #0,0,3: 62:[52, 61] Operation: 97-36=61
Exploring Operation: 97-52=45, Resulting Numbers: [36, 45]
Generated Node #0,0,4: 62:[36, 45] Operation: 97-52=45
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 62:[52, 61], Operations: ['18*2=36', '97-36=61']
Exploring Operation: 61-52=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 52+61=113, Resulting Numbers: [113]
113,62 unequal: No Solution
Exploring Operation: 52*61=3172, Resulting Numbers: [3172]
3172,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 62:[36, 45], Operations: ['18*2=36', '97-52=45']
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,62 unequal: No Solution
Exploring Operation: 36*45=1620, Resulting Numbers: [1620]
1620,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[97, 16], Operations: ['18*2=36', '52-36=16']
Exploring Operation: 97+16=113, Resulting Numbers: [113]
113,62 unequal: No Solution
Exploring Operation: 97*16=1552, Resulting Numbers: [1552]
1552,62 unequal: No Solution
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[97, 88], Operations: ['18*2=36', '52+36=88']
Exploring Operation: 97*88=8536, Resulting Numbers: [8536]
8536,62 unequal: No Solution
Exploring Operation: 97+88=185, Resulting Numbers: [185]
185,62 unequal: No Solution
Exploring Operation: 97-88=9, Resulting Numbers: [9]
9,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[52, 133], Operations: ['18*2=36', '97+36=133']
Exploring Operation: 52*133=6916, Resulting Numbers: [6916]
6916,62 unequal: No Solution
Exploring Operation: 133-52=81, Resulting Numbers: [81]
81,62 unequal: No Solution
Exploring Operation: 52+133=185, Resulting Numbers: [185]
185,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 62:[2, 63], Operations: ['97-52=45', '18+45=63']
Exploring Operation: 2*63=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,62 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Moving to Node #0,3,2
Current State: 62:[2, 63], Operations: ['52-18=34', '97-34=63']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,62 unequal: No Solution
Exploring Operation: 2*63=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Moving to Node #0,4,0
Current State: 62:[2, 27], Operations: ['97-52=45', '45-18=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,62 unequal: No Solution
Moving to Node #0,2,4
Current State: 62:[2, 27], Operations: ['18+52=70', '97-70=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,62 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Moving to Node #0,4,4
Current State: 62:[45, 36], Operations: ['97-52=45', '18*2=36']
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,62 unequal: No Solution
Exploring Operation: 45*36=1620, Resulting Numbers: [1620]
1620,62 unequal: No Solution
Moving to Node #0,4,2
Current State: 62:[45, 9], Operations: ['97-52=45', '18/2=9']
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,62 unequal: No Solution
Exploring Operation: 45*9=405, Resulting Numbers: [405]
405,62 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Moving to Node #0,4,3
Current State: 62:[45, 20], Operations: ['97-52=45', '18+2=20']
Exploring Operation: 45+20=65, Resulting Numbers: [65]
65,62 unequal: No Solution
Exploring Operation: 45*20=900, Resulting Numbers: [900]
900,62 unequal: No Solution
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[34, 95], Operations: ['52-18=34', '97-2=95']
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 34*95=3230, Resulting Numbers: [3230]
3230,62 unequal: No Solution
Exploring Operation: 34+95=129, Resulting Numbers: [129]
129,62 unequal: No Solution
Moving to Node #0,3,4
Current State: 62:[97, 32], Operations: ['52-18=34', '34-2=32']
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,62 unequal: No Solution
Exploring Operation: 97*32=3104, Resulting Numbers: [3104]
3104,62 unequal: No Solution
Exploring Operation: 97+32=129, Resulting Numbers: [129]
129,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[97, 35], Operations: ['18+52=70', '70/2=35']
Exploring Operation: 97*35=3395, Resulting Numbers: [3395]
3395,62 unequal: No Solution
Exploring Operation: 97+35=132, Resulting Numbers: [132]
132,62 unequal: No Solution
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[18, 97, 2, 52], Operations: []
Exploring Operation: 18+52=70, Resulting Numbers: [97, 2, 70]
Generated Node #0,2: 62:[97, 2, 70] Operation: 18+52=70
Moving to Node #0,2
Current State: 62:[97, 2, 70], Operations: ['18+52=70']
Exploring Operation: 70/2=35, Resulting Numbers: [97, 35]
Generated Node #0,2,2: 62:[97, 35] Operation: 70/2=35
Moving to Node #0,2,2
Current State: 62:[97, 35], Operations: ['18+52=70', '70/2=35']
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.917535 | hs_5 | mult_heuristic |
[
92,
26,
89,
28
] | 58 | [
"92-89=3",
"28*3=84",
"84-26=58"
] | Current State: 58:[92, 26, 89, 28], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [26, 28, 3]
Generated Node #2: [26, 28, 3] from Operation: 92-89=3
Current State: 58:[26, 28, 3], Operations: ['92-89=3']
Exploring Operation: 28*3=84, Resulting Numbers: [26, 84]
Generated Node #3: [26, 84] from Operation: 28*3=84
Current State: 58:[26, 84], Operations: ['92-89=3', '28*3=84']
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[92, 26, 89, 28], Operations: []
Exploring Operation: 92-26=66, Resulting Numbers: [89, 28, 66]
Generated Node #0,0: 58:[89, 28, 66] Operation: 92-26=66
Exploring Operation: 92-89=3, Resulting Numbers: [26, 28, 3]
Generated Node #0,1: 58:[26, 28, 3] Operation: 92-89=3
Exploring Operation: 92-28=64, Resulting Numbers: [26, 89, 64]
Generated Node #0,2: 58:[26, 89, 64] Operation: 92-28=64
Moving to Node #0,1
Current State: 58:[26, 28, 3], Operations: ['92-89=3']
Exploring Operation: 26+3=29, Resulting Numbers: [28, 29]
Generated Node #0,1,0: 58:[28, 29] Operation: 26+3=29
Exploring Operation: 26+28=54, Resulting Numbers: [3, 54]
Generated Node #0,1,1: 58:[3, 54] Operation: 26+28=54
Exploring Operation: 28-26=2, Resulting Numbers: [3, 2]
Generated Node #0,1,2: 58:[3, 2] Operation: 28-26=2
Moving to Node #0,0
Current State: 58:[89, 28, 66], Operations: ['92-26=66']
Exploring Operation: 89-28=61, Resulting Numbers: [66, 61]
Generated Node #0,0,0: 58:[66, 61] Operation: 89-28=61
Exploring Operation: 89-66=23, Resulting Numbers: [28, 23]
Generated Node #0,0,1: 58:[28, 23] Operation: 89-66=23
Exploring Operation: 66-28=38, Resulting Numbers: [89, 38]
Generated Node #0,0,2: 58:[89, 38] Operation: 66-28=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[28, 23], Operations: ['92-26=66', '89-66=23']
Exploring Operation: 28+23=51, Resulting Numbers: [51]
51,58 unequal: No Solution
Exploring Operation: 28*23=644, Resulting Numbers: [644]
644,58 unequal: No Solution
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[66, 61], Operations: ['92-26=66', '89-28=61']
Exploring Operation: 66+61=127, Resulting Numbers: [127]
127,58 unequal: No Solution
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Exploring Operation: 66*61=4026, Resulting Numbers: [4026]
4026,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[89, 38], Operations: ['92-26=66', '66-28=38']
Exploring Operation: 89*38=3382, Resulting Numbers: [3382]
3382,58 unequal: No Solution
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,58 unequal: No Solution
Exploring Operation: 89+38=127, Resulting Numbers: [127]
127,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 58:[26, 89, 64], Operations: ['92-28=64']
Exploring Operation: 89-64=25, Resulting Numbers: [26, 25]
Generated Node #0,2,0: 58:[26, 25] Operation: 89-64=25
Exploring Operation: 64-26=38, Resulting Numbers: [89, 38]
Generated Node #0,2,1: 58:[89, 38] Operation: 64-26=38
Exploring Operation: 89-26=63, Resulting Numbers: [64, 63]
Generated Node #0,2,2: 58:[64, 63] Operation: 89-26=63
Moving to Node #0,1,0
Current State: 58:[28, 29], Operations: ['92-89=3', '26+3=29']
Exploring Operation: 28*29=812, Resulting Numbers: [812]
812,58 unequal: No Solution
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[3, 2], Operations: ['92-89=3', '28-26=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[3, 54], Operations: ['92-89=3', '26+28=54']
Exploring Operation: 3+54=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,58 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[26, 25], Operations: ['92-28=64', '89-64=25']
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,58 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[64, 63], Operations: ['92-28=64', '89-26=63']
Exploring Operation: 64*63=4032, Resulting Numbers: [4032]
4032,58 unequal: No Solution
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 64+63=127, Resulting Numbers: [127]
127,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[89, 38], Operations: ['92-28=64', '64-26=38']
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,58 unequal: No Solution
Exploring Operation: 89*38=3382, Resulting Numbers: [3382]
3382,58 unequal: No Solution
Exploring Operation: 89+38=127, Resulting Numbers: [127]
127,58 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
33,
37,
20,
23
] | 36 | [
"37+23=60",
"60/20=3",
"33+3=36"
] | Current State: 36:[33, 37, 20, 23], Operations: []
Exploring Operation: 37+23=60, Resulting Numbers: [33, 20, 60]
Generated Node #2: [33, 20, 60] from Operation: 37+23=60
Current State: 36:[33, 20, 60], Operations: ['37+23=60']
Exploring Operation: 60/20=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 60/20=3
Current State: 36:[33, 3], Operations: ['37+23=60', '60/20=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[33, 37, 20, 23], Operations: []
Exploring Operation: 37-23=14, Resulting Numbers: [33, 20, 14]
Generated Node #0,0: 36:[33, 20, 14] Operation: 37-23=14
Exploring Operation: 37-33=4, Resulting Numbers: [20, 23, 4]
Generated Node #0,1: 36:[20, 23, 4] Operation: 37-33=4
Exploring Operation: 33-20=13, Resulting Numbers: [37, 23, 13]
Generated Node #0,2: 36:[37, 23, 13] Operation: 33-20=13
Exploring Operation: 23-20=3, Resulting Numbers: [33, 37, 3]
Generated Node #0,3: 36:[33, 37, 3] Operation: 23-20=3
Exploring Operation: 33-23=10, Resulting Numbers: [37, 20, 10]
Generated Node #0,4: 36:[37, 20, 10] Operation: 33-23=10
Moving to Node #0,3
Current State: 36:[33, 37, 3], Operations: ['23-20=3']
Exploring Operation: 33/3=11, Resulting Numbers: [37, 11]
Generated Node #0,3,0: 36:[37, 11] Operation: 33/3=11
Exploring Operation: 33-3=30, Resulting Numbers: [37, 30]
Generated Node #0,3,1: 36:[37, 30] Operation: 33-3=30
Exploring Operation: 37-3=34, Resulting Numbers: [33, 34]
Generated Node #0,3,2: 36:[33, 34] Operation: 37-3=34
Exploring Operation: 37-33=4, Resulting Numbers: [3, 4]
Generated Node #0,3,3: 36:[3, 4] Operation: 37-33=4
Exploring Operation: 33+3=36, Resulting Numbers: [37, 36]
Generated Node #0,3,4: 36:[37, 36] Operation: 33+3=36
Moving to Node #0,4
Current State: 36:[37, 20, 10], Operations: ['33-23=10']
Exploring Operation: 37-20=17, Resulting Numbers: [10, 17]
Generated Node #0,4,0: 36:[10, 17] Operation: 37-20=17
Exploring Operation: 20/10=2, Resulting Numbers: [37, 2]
Generated Node #0,4,1: 36:[37, 2] Operation: 20/10=2
Exploring Operation: 37-10=27, Resulting Numbers: [20, 27]
Generated Node #0,4,2: 36:[20, 27] Operation: 37-10=27
Exploring Operation: 20+10=30, Resulting Numbers: [37, 30]
Generated Node #0,4,3: 36:[37, 30] Operation: 20+10=30
Exploring Operation: 20-10=10, Resulting Numbers: [37, 10]
Generated Node #0,4,4: 36:[37, 10] Operation: 20-10=10
Moving to Node #0,0
Current State: 36:[33, 20, 14], Operations: ['37-23=14']
Exploring Operation: 33-20=13, Resulting Numbers: [14, 13]
Generated Node #0,0,0: 36:[14, 13] Operation: 33-20=13
Exploring Operation: 33-14=19, Resulting Numbers: [20, 19]
Generated Node #0,0,1: 36:[20, 19] Operation: 33-14=19
Exploring Operation: 33+14=47, Resulting Numbers: [20, 47]
Generated Node #0,0,2: 36:[20, 47] Operation: 33+14=47
Exploring Operation: 20-14=6, Resulting Numbers: [33, 6]
Generated Node #0,0,3: 36:[33, 6] Operation: 20-14=6
Exploring Operation: 20+14=34, Resulting Numbers: [33, 34]
Generated Node #0,0,4: 36:[33, 34] Operation: 20+14=34
Moving to Node #0,1
Current State: 36:[20, 23, 4], Operations: ['37-33=4']
Exploring Operation: 20/4=5, Resulting Numbers: [23, 5]
Generated Node #0,1,0: 36:[23, 5] Operation: 20/4=5
Exploring Operation: 20+23=43, Resulting Numbers: [4, 43]
Generated Node #0,1,1: 36:[4, 43] Operation: 20+23=43
Exploring Operation: 23-4=19, Resulting Numbers: [20, 19]
Generated Node #0,1,2: 36:[20, 19] Operation: 23-4=19
Exploring Operation: 23-20=3, Resulting Numbers: [4, 3]
Generated Node #0,1,3: 36:[4, 3] Operation: 23-20=3
Exploring Operation: 20-4=16, Resulting Numbers: [23, 16]
Generated Node #0,1,4: 36:[23, 16] Operation: 20-4=16
Moving to Node #0,2
Current State: 36:[37, 23, 13], Operations: ['33-20=13']
Exploring Operation: 37-23=14, Resulting Numbers: [13, 14]
Generated Node #0,2,0: 36:[13, 14] Operation: 37-23=14
Exploring Operation: 23-13=10, Resulting Numbers: [37, 10]
Generated Node #0,2,1: 36:[37, 10] Operation: 23-13=10
Exploring Operation: 37+13=50, Resulting Numbers: [23, 50]
Generated Node #0,2,2: 36:[23, 50] Operation: 37+13=50
Exploring Operation: 23+13=36, Resulting Numbers: [37, 36]
Generated Node #0,2,3: 36:[37, 36] Operation: 23+13=36
Exploring Operation: 37-13=24, Resulting Numbers: [23, 24]
Generated Node #0,2,4: 36:[23, 24] Operation: 37-13=24
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 36:[37, 36], Operations: ['33-20=13', '23+13=36']
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,36 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,36 unequal: No Solution
No 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: 36:[37, 10], Operations: ['33-20=13', '23-13=10']
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 37*10=370, Resulting Numbers: [370]
370,36 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,36 unequal: No Solution
No 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: 36:[13, 14], Operations: ['33-20=13', '37-23=14']
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,36 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No 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: 36:[23, 24], Operations: ['33-20=13', '37-13=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,36 unequal: No Solution
No 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: 36:[23, 50], Operations: ['33-20=13', '37+13=50']
Exploring Operation: 23*50=1150, Resulting Numbers: [1150]
1150,36 unequal: No Solution
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,36 unequal: No Solution
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 36:[3, 4], Operations: ['23-20=3', '37-33=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[4, 3], Operations: ['37-33=4', '23-20=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Moving to Node #0,4,1
Current State: 36:[37, 2], Operations: ['33-23=10', '20/10=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Moving to Node #0,3,4
Current State: 36:[37, 36], Operations: ['23-20=3', '33+3=36']
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,36 unequal: No Solution
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,36 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Moving to Node #0,4,0
Current State: 36:[10, 17], Operations: ['33-23=10', '37-20=17']
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,36 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[37, 11], Operations: ['23-20=3', '33/3=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,36 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,36 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,36 unequal: No Solution
Moving to Node #0,4,4
Current State: 36:[37, 10], Operations: ['33-23=10', '20-10=10']
Exploring Operation: 37*10=370, Resulting Numbers: [370]
370,36 unequal: No Solution
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[33, 6], Operations: ['37-23=14', '20-14=6']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 33*6=198, Resulting Numbers: [198]
198,36 unequal: No Solution
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[20, 19], Operations: ['37-23=14', '33-14=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[14, 13], Operations: ['37-23=14', '33-20=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[20, 19], Operations: ['37-33=4', '23-4=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,36 unequal: No Solution
Moving to Node #0,0,4
Current State: 36:[33, 34], Operations: ['37-23=14', '20+14=34']
Exploring Operation: 33+34=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Exploring Operation: 33*34=1122, Resulting Numbers: [1122]
1122,36 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Moving to Node #0,3,2
Current State: 36:[33, 34], Operations: ['23-20=3', '37-3=34']
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 33+34=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Exploring Operation: 33*34=1122, Resulting Numbers: [1122]
1122,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[23, 5], Operations: ['37-33=4', '20/4=5']
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,36 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,36 unequal: No Solution
Moving to Node #0,4,3
Current State: 36:[37, 30], Operations: ['33-23=10', '20+10=30']
Exploring Operation: 37*30=1110, Resulting Numbers: [1110]
1110,36 unequal: No Solution
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Moving to Node #0,1,4
Current State: 36:[23, 16], Operations: ['37-33=4', '20-4=16']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,36 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Moving to Node #0,3,1
Current State: 36:[37, 30], Operations: ['23-20=3', '33-3=30']
Exploring Operation: 37*30=1110, Resulting Numbers: [1110]
1110,36 unequal: No Solution
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[4, 43], Operations: ['37-33=4', '20+23=43']
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,36 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Moving to Node #0,4,2
Current State: 36:[20, 27], Operations: ['33-23=10', '37-10=27']
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,36 unequal: No Solution
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[20, 47], Operations: ['37-23=14', '33+14=47']
Exploring Operation: 20+47=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Exploring Operation: 20*47=940, Resulting Numbers: [940]
940,36 unequal: No Solution
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,36 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
43,
54,
13,
13
] | 12 | [
"54-43=11",
"13/13=1",
"11+1=12"
] | Current State: 12:[43, 54, 13, 13], Operations: []
Exploring Operation: 54-43=11, Resulting Numbers: [13, 13, 11]
Generated Node #2: [13, 13, 11] from Operation: 54-43=11
Current State: 12:[13, 13, 11], Operations: ['54-43=11']
Exploring Operation: 13/13=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 13/13=1
Current State: 12:[11, 1], Operations: ['54-43=11', '13/13=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[43, 54, 13, 13], Operations: []
Exploring Operation: 54-13=41, Resulting Numbers: [43, 13, 41]
Generated Node #0,0: 12:[43, 13, 41] Operation: 54-13=41
Exploring Operation: 43-13=30, Resulting Numbers: [54, 13, 30]
Generated Node #0,1: 12:[54, 13, 30] Operation: 43-13=30
Exploring Operation: 54-43=11, Resulting Numbers: [13, 13, 11]
Generated Node #0,2: 12:[13, 13, 11] Operation: 54-43=11
Exploring Operation: 43-13=30, Resulting Numbers: [54, 13, 30]
Generated Node #0,3: 12:[54, 13, 30] Operation: 43-13=30
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[13, 13, 11], Operations: ['54-43=11']
Exploring Operation: 13/13=1, Resulting Numbers: [11, 1]
Generated Node #0,2,0: 12:[11, 1] Operation: 13/13=1
Exploring Operation: 13-13=0, Resulting Numbers: [11, 0]
Generated Node #0,2,1: 12:[11, 0] Operation: 13-13=0
Exploring Operation: 13-11=2, Resulting Numbers: [13, 2]
Generated Node #0,2,2: 12:[13, 2] Operation: 13-11=2
Exploring Operation: 13-11=2, Resulting Numbers: [13, 2]
Generated Node #0,2,3: 12:[13, 2] Operation: 13-11=2
Moving to Node #0,2,2
Current State: 12:[13, 2], Operations: ['54-43=11', '13-11=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Moving to Node #0,2,3
Current State: 12:[13, 2], Operations: ['54-43=11', '13-11=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[11, 1], Operations: ['54-43=11', '13/13=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[43, 54, 13, 13], Operations: []
Exploring Operation: 54-43=11, Resulting Numbers: [13, 13, 11]
Generated Node #0,2: 12:[13, 13, 11] Operation: 54-43=11
Moving to Node #0,2
Current State: 12:[13, 13, 11], Operations: ['54-43=11']
Exploring Operation: 13/13=1, Resulting Numbers: [11, 1]
Generated Node #0,2,0: 12:[11, 1] Operation: 13/13=1
Moving to Node #0,2,0
Current State: 12:[11, 1], Operations: ['54-43=11', '13/13=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.