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 |
|---|---|---|---|---|---|---|---|---|
[
55,
19,
48,
58
] | 46 | [
"55-19=36",
"58-48=10",
"36+10=46"
] | Current State: 46:[55, 19, 48, 58], Operations: []
Exploring Operation: 55-19=36, Resulting Numbers: [48, 58, 36]
Generated Node #2: [48, 58, 36] from Operation: 55-19=36
Current State: 46:[48, 58, 36], Operations: ['55-19=36']
Exploring Operation: 58-48=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 58-48=10
Current State: 46:[36, 10], Operations: ['55-19=36', '58-48=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[55, 19, 48, 58], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [19, 48, 3]
Generated Node #0,0: 46:[19, 48, 3] Operation: 58-55=3
Moving to Node #0,0
Current State: 46:[19, 48, 3], Operations: ['58-55=3']
Exploring Operation: 19+3=22, Resulting Numbers: [48, 22]
Generated Node #0,0,0: 46:[48, 22] Operation: 19+3=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[48, 22], Operations: ['58-55=3', '19+3=22']
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
25,
75,
61
] | 80 | [
"16+61=77",
"75/25=3",
"77+3=80"
] | Current State: 80:[16, 25, 75, 61], Operations: []
Exploring Operation: 16+61=77, Resulting Numbers: [25, 75, 77]
Generated Node #2: [25, 75, 77] from Operation: 16+61=77
Current State: 80:[25, 75, 77], Operations: ['16+61=77']
Exploring Operation: 75/25=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 75/25=3
Current State: 80:[77, 3], Operations: ['16+61=77', '75/25=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[16, 25, 75, 61], Operations: []
Exploring Operation: 25+61=86, Resulting Numbers: [16, 75, 86]
Generated Node #0,0: 80:[16, 75, 86] Operation: 25+61=86
Exploring Operation: 61-25=36, Resulting Numbers: [16, 75, 36]
Generated Node #0,1: 80:[16, 75, 36] Operation: 61-25=36
Exploring Operation: 75-61=14, Resulting Numbers: [16, 25, 14]
Generated Node #0,2: 80:[16, 25, 14] Operation: 75-61=14
Moving to Node #0,2
Current State: 80:[16, 25, 14], Operations: ['75-61=14']
Exploring Operation: 25+14=39, Resulting Numbers: [16, 39]
Generated Node #0,2,0: 80:[16, 39] Operation: 25+14=39
Exploring Operation: 25-14=11, Resulting Numbers: [16, 11]
Generated Node #0,2,1: 80:[16, 11] Operation: 25-14=11
Exploring Operation: 16+25=41, Resulting Numbers: [14, 41]
Generated Node #0,2,2: 80:[14, 41] Operation: 16+25=41
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[16, 39], Operations: ['75-61=14', '25+14=39']
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 16*39=624, Resulting Numbers: [624]
624,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[16, 11], Operations: ['75-61=14', '25-14=11']
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,80 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[14, 41], Operations: ['75-61=14', '16+25=41']
Exploring Operation: 14+41=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 14*41=574, Resulting Numbers: [574]
574,80 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,80 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: 80:[16, 75, 36], Operations: ['61-25=36']
Exploring Operation: 16+75=91, Resulting Numbers: [36, 91]
Generated Node #0,1,0: 80:[36, 91] Operation: 16+75=91
Exploring Operation: 36-16=20, Resulting Numbers: [75, 20]
Generated Node #0,1,1: 80:[75, 20] Operation: 36-16=20
Exploring Operation: 75-36=39, Resulting Numbers: [16, 39]
Generated Node #0,1,2: 80:[16, 39] Operation: 75-36=39
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 80:[16, 39], Operations: ['61-25=36', '75-36=39']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 16*39=624, Resulting Numbers: [624]
624,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[75, 20], Operations: ['61-25=36', '36-16=20']
Exploring Operation: 75+20=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 75*20=1500, Resulting Numbers: [1500]
1500,80 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[36, 91], Operations: ['61-25=36', '16+75=91']
Exploring Operation: 36+91=127, Resulting Numbers: [127]
127,80 unequal: No Solution
Exploring Operation: 91-36=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 36*91=3276, Resulting Numbers: [3276]
3276,80 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: 80:[16, 75, 86], Operations: ['25+61=86']
Exploring Operation: 16+75=91, Resulting Numbers: [86, 91]
Generated Node #0,0,0: 80:[86, 91] Operation: 16+75=91
Exploring Operation: 86-75=11, Resulting Numbers: [16, 11]
Generated Node #0,0,1: 80:[16, 11] Operation: 86-75=11
Exploring Operation: 86-16=70, Resulting Numbers: [75, 70]
Generated Node #0,0,2: 80:[75, 70] Operation: 86-16=70
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[16, 11], Operations: ['25+61=86', '86-75=11']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,80 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[75, 70], Operations: ['25+61=86', '86-16=70']
Exploring Operation: 75*70=5250, Resulting Numbers: [5250]
5250,80 unequal: No Solution
Exploring Operation: 75-70=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 75+70=145, Resulting Numbers: [145]
145,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[86, 91], Operations: ['25+61=86', '16+75=91']
Exploring Operation: 86+91=177, Resulting Numbers: [177]
177,80 unequal: No Solution
Exploring Operation: 91-86=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 86*91=7826, Resulting Numbers: [7826]
7826,80 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 |
[
57,
13,
55,
87
] | 76 | [
"57-13=44",
"87-55=32",
"44+32=76"
] | Current State: 76:[57, 13, 55, 87], Operations: []
Exploring Operation: 57-13=44, Resulting Numbers: [55, 87, 44]
Generated Node #2: [55, 87, 44] from Operation: 57-13=44
Current State: 76:[55, 87, 44], Operations: ['57-13=44']
Exploring Operation: 87-55=32, Resulting Numbers: [44, 32]
Generated Node #3: [44, 32] from Operation: 87-55=32
Current State: 76:[44, 32], Operations: ['57-13=44', '87-55=32']
Exploring Operation: 44+32=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[57, 13, 55, 87], Operations: []
Exploring Operation: 57-13=44, Resulting Numbers: [55, 87, 44]
Generated Node #0,0: 76:[55, 87, 44] Operation: 57-13=44
Exploring Operation: 57-55=2, Resulting Numbers: [13, 87, 2]
Generated Node #0,1: 76:[13, 87, 2] Operation: 57-55=2
Exploring Operation: 87-55=32, Resulting Numbers: [57, 13, 32]
Generated Node #0,2: 76:[57, 13, 32] Operation: 87-55=32
Exploring Operation: 57+13=70, Resulting Numbers: [55, 87, 70]
Generated Node #0,3: 76:[55, 87, 70] Operation: 57+13=70
Exploring Operation: 87-57=30, Resulting Numbers: [13, 55, 30]
Generated Node #0,4: 76:[13, 55, 30] Operation: 87-57=30
Moving to Node #0,1
Current State: 76:[13, 87, 2], Operations: ['57-55=2']
Exploring Operation: 13*2=26, Resulting Numbers: [87, 26]
Generated Node #0,1,0: 76:[87, 26] Operation: 13*2=26
Exploring Operation: 87-13=74, Resulting Numbers: [2, 74]
Generated Node #0,1,1: 76:[2, 74] Operation: 87-13=74
Exploring Operation: 13-2=11, Resulting Numbers: [87, 11]
Generated Node #0,1,2: 76:[87, 11] Operation: 13-2=11
Exploring Operation: 13+2=15, Resulting Numbers: [87, 15]
Generated Node #0,1,3: 76:[87, 15] Operation: 13+2=15
Exploring Operation: 87-2=85, Resulting Numbers: [13, 85]
Generated Node #0,1,4: 76:[13, 85] Operation: 87-2=85
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[2, 74], Operations: ['57-55=2', '87-13=74']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,76 unequal: No Solution
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[57, 13, 55, 87], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [13, 87, 2]
Generated Node #0,1: 76:[13, 87, 2] Operation: 57-55=2
Moving to Node #0,1
Current State: 76:[13, 87, 2], Operations: ['57-55=2']
Exploring Operation: 87-13=74, Resulting Numbers: [2, 74]
Generated Node #0,1,1: 76:[2, 74] Operation: 87-13=74
Moving to Node #0,1,1
Current State: 76:[2, 74], Operations: ['57-55=2', '87-13=74']
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
1,
5,
44,
19
] | 11 | [
"1+19=20",
"5*44=220",
"220/20=11"
] | Current State: 11:[1, 5, 44, 19], Operations: []
Exploring Operation: 1+19=20, Resulting Numbers: [5, 44, 20]
Generated Node #2: [5, 44, 20] from Operation: 1+19=20
Current State: 11:[5, 44, 20], Operations: ['1+19=20']
Exploring Operation: 5*44=220, Resulting Numbers: [20, 220]
Generated Node #3: [20, 220] from Operation: 5*44=220
Current State: 11:[20, 220], Operations: ['1+19=20', '5*44=220']
Exploring Operation: 220/20=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[1, 5, 44, 19], Operations: []
Exploring Operation: 1+5=6, Resulting Numbers: [44, 19, 6]
Generated Node #0,0: 11:[44, 19, 6] Operation: 1+5=6
Exploring Operation: 44-19=25, Resulting Numbers: [1, 5, 25]
Generated Node #0,1: 11:[1, 5, 25] Operation: 44-19=25
Exploring Operation: 44-1=43, Resulting Numbers: [5, 19, 43]
Generated Node #0,2: 11:[5, 19, 43] Operation: 44-1=43
Exploring Operation: 19-1=18, Resulting Numbers: [5, 44, 18]
Generated Node #0,3: 11:[5, 44, 18] Operation: 19-1=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[1, 5, 25], Operations: ['44-19=25']
Exploring Operation: 25-5=20, Resulting Numbers: [1, 20]
Generated Node #0,1,0: 11:[1, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [1, 5]
Generated Node #0,1,1: 11:[1, 5] Operation: 25/5=5
Exploring Operation: 25-1=24, Resulting Numbers: [5, 24]
Generated Node #0,1,2: 11:[5, 24] Operation: 25-1=24
Exploring Operation: 1+5=6, Resulting Numbers: [25, 6]
Generated Node #0,1,3: 11:[25, 6] Operation: 1+5=6
Moving to Node #0,1,1
Current State: 11:[1, 5], Operations: ['44-19=25', '25/5=5']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[5, 24], Operations: ['44-19=25', '25-1=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[1, 20], Operations: ['44-19=25', '25-5=20']
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[25, 6], Operations: ['44-19=25', '1+5=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,11 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[44, 19, 6], Operations: ['1+5=6']
Exploring Operation: 44-6=38, Resulting Numbers: [19, 38]
Generated Node #0,0,0: 11:[19, 38] Operation: 44-6=38
Exploring Operation: 19-6=13, Resulting Numbers: [44, 13]
Generated Node #0,0,1: 11:[44, 13] Operation: 19-6=13
Exploring Operation: 44+6=50, Resulting Numbers: [19, 50]
Generated Node #0,0,2: 11:[19, 50] Operation: 44+6=50
Exploring Operation: 44-19=25, Resulting Numbers: [6, 25]
Generated Node #0,0,3: 11:[6, 25] Operation: 44-19=25
Moving to Node #0,0,3
Current State: 11:[6, 25], Operations: ['1+5=6', '44-19=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,11 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[44, 13], Operations: ['1+5=6', '19-6=13']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,11 unequal: No Solution
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[19, 38], Operations: ['1+5=6', '44-6=38']
Exploring Operation: 19*38=722, Resulting Numbers: [722]
722,11 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,11 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[19, 50], Operations: ['1+5=6', '44+6=50']
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 19*50=950, Resulting Numbers: [950]
950,11 unequal: No Solution
Exploring Operation: 19+50=69, Resulting Numbers: [69]
69,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[5, 19, 43], Operations: ['44-1=43']
Exploring Operation: 43-19=24, Resulting Numbers: [5, 24]
Generated Node #0,2,0: 11:[5, 24] Operation: 43-19=24
Exploring Operation: 19-5=14, Resulting Numbers: [43, 14]
Generated Node #0,2,1: 11:[43, 14] Operation: 19-5=14
Exploring Operation: 5+19=24, Resulting Numbers: [43, 24]
Generated Node #0,2,2: 11:[43, 24] Operation: 5+19=24
Exploring Operation: 43-5=38, Resulting Numbers: [19, 38]
Generated Node #0,2,3: 11:[19, 38] Operation: 43-5=38
Moving to Node #0,2,0
Current State: 11:[5, 24], Operations: ['44-1=43', '43-19=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[19, 38], Operations: ['44-1=43', '43-5=38']
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,11 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 19*38=722, Resulting Numbers: [722]
722,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[43, 14], Operations: ['44-1=43', '19-5=14']
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,11 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[43, 24], Operations: ['44-1=43', '5+19=24']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,11 unequal: No Solution
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[5, 44, 18], Operations: ['19-1=18']
Exploring Operation: 44-18=26, Resulting Numbers: [5, 26]
Generated Node #0,3,0: 11:[5, 26] Operation: 44-18=26
Exploring Operation: 18-5=13, Resulting Numbers: [44, 13]
Generated Node #0,3,1: 11:[44, 13] Operation: 18-5=13
Exploring Operation: 5+44=49, Resulting Numbers: [18, 49]
Generated Node #0,3,2: 11:[18, 49] Operation: 5+44=49
Exploring Operation: 44-5=39, Resulting Numbers: [18, 39]
Generated Node #0,3,3: 11:[18, 39] Operation: 44-5=39
Moving to Node #0,3,0
Current State: 11:[5, 26], Operations: ['19-1=18', '44-18=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[18, 39], Operations: ['19-1=18', '44-5=39']
Exploring Operation: 18*39=702, Resulting Numbers: [702]
702,11 unequal: No Solution
Exploring Operation: 18+39=57, Resulting Numbers: [57]
57,11 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Moving to Node #0,3,1
Current State: 11:[44, 13], Operations: ['19-1=18', '18-5=13']
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,11 unequal: No Solution
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,11 unequal: No Solution
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Moving to Node #0,3,2
Current State: 11:[18, 49], Operations: ['19-1=18', '5+44=49']
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 18*49=882, Resulting Numbers: [882]
882,11 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 |
[
95,
24,
26,
98
] | 53 | [
"95-24=71",
"26+98=124",
"124-71=53"
] | Current State: 53:[95, 24, 26, 98], Operations: []
Exploring Operation: 95-24=71, Resulting Numbers: [26, 98, 71]
Generated Node #2: [26, 98, 71] from Operation: 95-24=71
Current State: 53:[26, 98, 71], Operations: ['95-24=71']
Exploring Operation: 26+98=124, Resulting Numbers: [71, 124]
Generated Node #3: [71, 124] from Operation: 26+98=124
Current State: 53:[71, 124], Operations: ['95-24=71', '26+98=124']
Exploring Operation: 124-71=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[95, 24, 26, 98], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [95, 24, 72]
Generated Node #0,0: 53:[95, 24, 72] Operation: 98-26=72
Exploring Operation: 95-26=69, Resulting Numbers: [24, 98, 69]
Generated Node #0,1: 53:[24, 98, 69] Operation: 95-26=69
Exploring Operation: 98-24=74, Resulting Numbers: [95, 26, 74]
Generated Node #0,2: 53:[95, 26, 74] Operation: 98-24=74
Exploring Operation: 24+26=50, Resulting Numbers: [95, 98, 50]
Generated Node #0,3: 53:[95, 98, 50] Operation: 24+26=50
Exploring Operation: 95-24=71, Resulting Numbers: [26, 98, 71]
Generated Node #0,4: 53:[26, 98, 71] Operation: 95-24=71
Moving to Node #0,0
Current State: 53:[95, 24, 72], Operations: ['98-26=72']
Exploring Operation: 72-24=48, Resulting Numbers: [95, 48]
Generated Node #0,0,0: 53:[95, 48] Operation: 72-24=48
Exploring Operation: 95-72=23, Resulting Numbers: [24, 23]
Generated Node #0,0,1: 53:[24, 23] Operation: 95-72=23
Exploring Operation: 95-24=71, Resulting Numbers: [72, 71]
Generated Node #0,0,2: 53:[72, 71] Operation: 95-24=71
Exploring Operation: 24+72=96, Resulting Numbers: [95, 96]
Generated Node #0,0,3: 53:[95, 96] Operation: 24+72=96
Exploring Operation: 95+24=119, Resulting Numbers: [72, 119]
Generated Node #0,0,4: 53:[72, 119] Operation: 95+24=119
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[72, 71], Operations: ['98-26=72', '95-24=71']
Exploring Operation: 72+71=143, Resulting Numbers: [143]
143,53 unequal: No Solution
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 72*71=5112, Resulting Numbers: [5112]
5112,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[95, 48], Operations: ['98-26=72', '72-24=48']
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,53 unequal: No Solution
Exploring Operation: 95+48=143, Resulting Numbers: [143]
143,53 unequal: No Solution
Exploring Operation: 95*48=4560, Resulting Numbers: [4560]
4560,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[24, 23], Operations: ['98-26=72', '95-72=23']
Exploring Operation: 24*23=552, Resulting Numbers: [552]
552,53 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 53:[95, 96], Operations: ['98-26=72', '24+72=96']
Exploring Operation: 95+96=191, Resulting Numbers: [191]
191,53 unequal: No Solution
Exploring Operation: 96-95=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 95*96=9120, Resulting Numbers: [9120]
9120,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 53:[72, 119], Operations: ['98-26=72', '95+24=119']
Exploring Operation: 119-72=47, Resulting Numbers: [47]
47,53 unequal: No Solution
Exploring Operation: 72*119=8568, Resulting Numbers: [8568]
8568,53 unequal: No Solution
Exploring Operation: 72+119=191, Resulting Numbers: [191]
191,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 53:[95, 26, 74], Operations: ['98-24=74']
Exploring Operation: 95-26=69, Resulting Numbers: [74, 69]
Generated Node #0,2,0: 53:[74, 69] Operation: 95-26=69
Exploring Operation: 26+74=100, Resulting Numbers: [95, 100]
Generated Node #0,2,1: 53:[95, 100] Operation: 26+74=100
Exploring Operation: 95-74=21, Resulting Numbers: [26, 21]
Generated Node #0,2,2: 53:[26, 21] Operation: 95-74=21
Exploring Operation: 74-26=48, Resulting Numbers: [95, 48]
Generated Node #0,2,3: 53:[95, 48] Operation: 74-26=48
Exploring Operation: 95+26=121, Resulting Numbers: [74, 121]
Generated Node #0,2,4: 53:[74, 121] Operation: 95+26=121
Moving to Node #0,4
Current State: 53:[26, 98, 71], Operations: ['95-24=71']
Exploring Operation: 98-26=72, Resulting Numbers: [71, 72]
Generated Node #0,4,0: 53:[71, 72] Operation: 98-26=72
Exploring Operation: 98-71=27, Resulting Numbers: [26, 27]
Generated Node #0,4,1: 53:[26, 27] Operation: 98-71=27
Exploring Operation: 26+71=97, Resulting Numbers: [98, 97]
Generated Node #0,4,2: 53:[98, 97] Operation: 26+71=97
Exploring Operation: 26+98=124, Resulting Numbers: [71, 124]
Generated Node #0,4,3: 53:[71, 124] Operation: 26+98=124
Exploring Operation: 71-26=45, Resulting Numbers: [98, 45]
Generated Node #0,4,4: 53:[98, 45] Operation: 71-26=45
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 53:[71, 72], Operations: ['95-24=71', '98-26=72']
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 71+72=143, Resulting Numbers: [143]
143,53 unequal: No Solution
Exploring Operation: 71*72=5112, Resulting Numbers: [5112]
5112,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 53:[26, 27], Operations: ['95-24=71', '98-71=27']
Exploring Operation: 26*27=702, Resulting Numbers: [702]
702,53 unequal: No Solution
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[95, 24, 26, 98], Operations: []
Exploring Operation: 95-24=71, Resulting Numbers: [26, 98, 71]
Generated Node #0,4: 53:[26, 98, 71] Operation: 95-24=71
Moving to Node #0,4
Current State: 53:[26, 98, 71], Operations: ['95-24=71']
Exploring Operation: 98-71=27, Resulting Numbers: [26, 27]
Generated Node #0,4,1: 53:[26, 27] Operation: 98-71=27
Moving to Node #0,4,1
Current State: 53:[26, 27], Operations: ['95-24=71', '98-71=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.961806 | hs_5 | mult_heuristic |
[
88,
30,
52,
36
] | 29 | [
"88-52=36",
"36/36=1",
"30-1=29"
] | Current State: 29:[88, 30, 52, 36], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [30, 36, 36]
Generated Node #2: [30, 36, 36] from Operation: 88-52=36
Current State: 29:[30, 36, 36], Operations: ['88-52=36']
Exploring Operation: 36/36=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 36/36=1
Current State: 29:[30, 1], Operations: ['88-52=36', '36/36=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[88, 30, 52, 36], Operations: []
Exploring Operation: 88-36=52, Resulting Numbers: [30, 52, 52]
Generated Node #0,0: 29:[30, 52, 52] Operation: 88-36=52
Exploring Operation: 88-52=36, Resulting Numbers: [30, 36, 36]
Generated Node #0,1: 29:[30, 36, 36] Operation: 88-52=36
Exploring Operation: 88-30=58, Resulting Numbers: [52, 36, 58]
Generated Node #0,2: 29:[52, 36, 58] Operation: 88-30=58
Moving to Node #0,1
Current State: 29:[30, 36, 36], Operations: ['88-52=36']
Exploring Operation: 36/36=1, Resulting Numbers: [30, 1]
Generated Node #0,1,0: 29:[30, 1] Operation: 36/36=1
Exploring Operation: 36-30=6, Resulting Numbers: [36, 6]
Generated Node #0,1,1: 29:[36, 6] Operation: 36-30=6
Exploring Operation: 36-30=6, Resulting Numbers: [36, 6]
Generated Node #0,1,2: 29:[36, 6] Operation: 36-30=6
Moving to Node #0,0
Current State: 29:[30, 52, 52], Operations: ['88-36=52']
Exploring Operation: 52-30=22, Resulting Numbers: [52, 22]
Generated Node #0,0,0: 29:[52, 22] Operation: 52-30=22
Exploring Operation: 52-30=22, Resulting Numbers: [52, 22]
Generated Node #0,0,1: 29:[52, 22] Operation: 52-30=22
Exploring Operation: 52/52=1, Resulting Numbers: [30, 1]
Generated Node #0,0,2: 29:[30, 1] Operation: 52/52=1
Moving to Node #0,2
Current State: 29:[52, 36, 58], Operations: ['88-30=58']
Exploring Operation: 58-52=6, Resulting Numbers: [36, 6]
Generated Node #0,2,0: 29:[36, 6] Operation: 58-52=6
Exploring Operation: 52-36=16, Resulting Numbers: [58, 16]
Generated Node #0,2,1: 29:[58, 16] Operation: 52-36=16
Exploring Operation: 58-36=22, Resulting Numbers: [52, 22]
Generated Node #0,2,2: 29:[52, 22] Operation: 58-36=22
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[36, 6], Operations: ['88-30=58', '58-52=6']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,29 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 #0,2,2
Current State: 29:[52, 22], Operations: ['88-30=58', '58-36=22']
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,29 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,29 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 #0,2,1
Current State: 29:[58, 16], Operations: ['88-30=58', '52-36=16']
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 58*16=928, Resulting Numbers: [928]
928,29 unequal: No Solution
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,29 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: 29:[30, 1], Operations: ['88-52=36', '36/36=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[88, 30, 52, 36], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [30, 36, 36]
Generated Node #0,1: 29:[30, 36, 36] Operation: 88-52=36
Moving to Node #0,1
Current State: 29:[30, 36, 36], Operations: ['88-52=36']
Exploring Operation: 36/36=1, Resulting Numbers: [30, 1]
Generated Node #0,1,0: 29:[30, 1] Operation: 36/36=1
Moving to Node #0,1,0
Current State: 29:[30, 1], Operations: ['88-52=36', '36/36=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
85,
19,
12,
93
] | 77 | [
"93-85=8",
"12*8=96",
"96-19=77"
] | Current State: 77:[85, 19, 12, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [19, 12, 8]
Generated Node #2: [19, 12, 8] from Operation: 93-85=8
Current State: 77:[19, 12, 8], Operations: ['93-85=8']
Exploring Operation: 12*8=96, Resulting Numbers: [19, 96]
Generated Node #3: [19, 96] from Operation: 12*8=96
Current State: 77:[19, 96], Operations: ['93-85=8', '12*8=96']
Exploring Operation: 96-19=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[85, 19, 12, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [19, 12, 8]
Generated Node #0,0: 77:[19, 12, 8] Operation: 93-85=8
Exploring Operation: 93-12=81, Resulting Numbers: [85, 19, 81]
Generated Node #0,1: 77:[85, 19, 81] Operation: 93-12=81
Exploring Operation: 93-19=74, Resulting Numbers: [85, 12, 74]
Generated Node #0,2: 77:[85, 12, 74] Operation: 93-19=74
Exploring Operation: 19-12=7, Resulting Numbers: [85, 93, 7]
Generated Node #0,3: 77:[85, 93, 7] Operation: 19-12=7
Moving to Node #0,0
Current State: 77:[19, 12, 8], Operations: ['93-85=8']
Exploring Operation: 19-12=7, Resulting Numbers: [8, 7]
Generated Node #0,0,0: 77:[8, 7] Operation: 19-12=7
Exploring Operation: 12-8=4, Resulting Numbers: [19, 4]
Generated Node #0,0,1: 77:[19, 4] Operation: 12-8=4
Exploring Operation: 19-8=11, Resulting Numbers: [12, 11]
Generated Node #0,0,2: 77:[12, 11] Operation: 19-8=11
Exploring Operation: 19+8=27, Resulting Numbers: [12, 27]
Generated Node #0,0,3: 77:[12, 27] Operation: 19+8=27
Moving to Node #0,2
Current State: 77:[85, 12, 74], Operations: ['93-19=74']
Exploring Operation: 85-12=73, Resulting Numbers: [74, 73]
Generated Node #0,2,0: 77:[74, 73] Operation: 85-12=73
Exploring Operation: 85+12=97, Resulting Numbers: [74, 97]
Generated Node #0,2,1: 77:[74, 97] Operation: 85+12=97
Exploring Operation: 85-74=11, Resulting Numbers: [12, 11]
Generated Node #0,2,2: 77:[12, 11] Operation: 85-74=11
Exploring Operation: 12+74=86, Resulting Numbers: [85, 86]
Generated Node #0,2,3: 77:[85, 86] Operation: 12+74=86
Moving to Node #0,1
Current State: 77:[85, 19, 81], Operations: ['93-12=81']
Exploring Operation: 81-19=62, Resulting Numbers: [85, 62]
Generated Node #0,1,0: 77:[85, 62] Operation: 81-19=62
Exploring Operation: 85+19=104, Resulting Numbers: [81, 104]
Generated Node #0,1,1: 77:[81, 104] Operation: 85+19=104
Exploring Operation: 85-19=66, Resulting Numbers: [81, 66]
Generated Node #0,1,2: 77:[81, 66] Operation: 85-19=66
Exploring Operation: 85-81=4, Resulting Numbers: [19, 4]
Generated Node #0,1,3: 77:[19, 4] Operation: 85-81=4
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 77:[19, 4], Operations: ['93-12=81', '85-81=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,77 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,77 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 #0,1,2
Current State: 77:[81, 66], Operations: ['93-12=81', '85-19=66']
Exploring Operation: 81*66=5346, Resulting Numbers: [5346]
5346,77 unequal: No Solution
Exploring Operation: 81+66=147, Resulting Numbers: [147]
147,77 unequal: No Solution
Exploring Operation: 81-66=15, Resulting Numbers: [15]
15,77 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 #0,1,0
Current State: 77:[85, 62], Operations: ['93-12=81', '81-19=62']
Exploring Operation: 85+62=147, Resulting Numbers: [147]
147,77 unequal: No Solution
Exploring Operation: 85*62=5270, Resulting Numbers: [5270]
5270,77 unequal: No Solution
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,77 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 #0,1,1
Current State: 77:[81, 104], Operations: ['93-12=81', '85+19=104']
Exploring Operation: 104-81=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 81*104=8424, Resulting Numbers: [8424]
8424,77 unequal: No Solution
Exploring Operation: 81+104=185, Resulting Numbers: [185]
185,77 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: 77:[85, 93, 7], Operations: ['19-12=7']
Exploring Operation: 85+7=92, Resulting Numbers: [93, 92]
Generated Node #0,3,0: 77:[93, 92] Operation: 85+7=92
Exploring Operation: 93-7=86, Resulting Numbers: [85, 86]
Generated Node #0,3,1: 77:[85, 86] Operation: 93-7=86
Exploring Operation: 85-7=78, Resulting Numbers: [93, 78]
Generated Node #0,3,2: 77:[93, 78] Operation: 85-7=78
Exploring Operation: 93-85=8, Resulting Numbers: [7, 8]
Generated Node #0,3,3: 77:[7, 8] Operation: 93-85=8
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 77:[7, 8], Operations: ['19-12=7', '93-85=8']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,77 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 #0,3,1
Current State: 77:[85, 86], Operations: ['19-12=7', '93-7=86']
Exploring Operation: 85*86=7310, Resulting Numbers: [7310]
7310,77 unequal: No Solution
Exploring Operation: 85+86=171, Resulting Numbers: [171]
171,77 unequal: No Solution
Exploring Operation: 86-85=1, Resulting Numbers: [1]
1,77 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 #0,3,2
Current State: 77:[93, 78], Operations: ['19-12=7', '85-7=78']
Exploring Operation: 93-78=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 93*78=7254, Resulting Numbers: [7254]
7254,77 unequal: No Solution
Exploring Operation: 93+78=171, Resulting Numbers: [171]
171,77 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 #0,3,0
Current State: 77:[93, 92], Operations: ['19-12=7', '85+7=92']
Exploring Operation: 93+92=185, Resulting Numbers: [185]
185,77 unequal: No Solution
Exploring Operation: 93-92=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 93*92=8556, Resulting Numbers: [8556]
8556,77 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: 77:[8, 7], Operations: ['93-85=8', '19-12=7']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[12, 11], Operations: ['93-85=8', '19-8=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,77 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[12, 11], Operations: ['93-19=74', '85-74=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[74, 73], Operations: ['93-19=74', '85-12=73']
Exploring Operation: 74-73=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 74+73=147, Resulting Numbers: [147]
147,77 unequal: No Solution
Exploring Operation: 74*73=5402, Resulting Numbers: [5402]
5402,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[19, 4], Operations: ['93-85=8', '12-8=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[12, 27], Operations: ['93-85=8', '19+8=27']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,77 unequal: No Solution
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Moving to Node #0,2,3
Current State: 77:[85, 86], Operations: ['93-19=74', '12+74=86']
Exploring Operation: 86-85=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 85+86=171, Resulting Numbers: [171]
171,77 unequal: No Solution
Exploring Operation: 85*86=7310, Resulting Numbers: [7310]
7310,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[74, 97], Operations: ['93-19=74', '85+12=97']
Exploring Operation: 74*97=7178, Resulting Numbers: [7178]
7178,77 unequal: No Solution
Exploring Operation: 97-74=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 74+97=171, Resulting Numbers: [171]
171,77 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
22,
53,
4,
59
] | 11 | [
"53+4=57",
"59-57=2",
"22/2=11"
] | Current State: 11:[22, 53, 4, 59], Operations: []
Exploring Operation: 53+4=57, Resulting Numbers: [22, 59, 57]
Generated Node #2: [22, 59, 57] from Operation: 53+4=57
Current State: 11:[22, 59, 57], Operations: ['53+4=57']
Exploring Operation: 59-57=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 59-57=2
Current State: 11:[22, 2], Operations: ['53+4=57', '59-57=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[22, 53, 4, 59], Operations: []
Exploring Operation: 53-22=31, Resulting Numbers: [4, 59, 31]
Generated Node #0,0: 11:[4, 59, 31] Operation: 53-22=31
Exploring Operation: 59-22=37, Resulting Numbers: [53, 4, 37]
Generated Node #0,1: 11:[53, 4, 37] Operation: 59-22=37
Exploring Operation: 59-53=6, Resulting Numbers: [22, 4, 6]
Generated Node #0,2: 11:[22, 4, 6] Operation: 59-53=6
Moving to Node #0,2
Current State: 11:[22, 4, 6], Operations: ['59-53=6']
Exploring Operation: 22-4=18, Resulting Numbers: [6, 18]
Generated Node #0,2,0: 11:[6, 18] Operation: 22-4=18
Exploring Operation: 22-6=16, Resulting Numbers: [4, 16]
Generated Node #0,2,1: 11:[4, 16] Operation: 22-6=16
Exploring Operation: 4+6=10, Resulting Numbers: [22, 10]
Generated Node #0,2,2: 11:[22, 10] Operation: 4+6=10
Moving to Node #0,0
Current State: 11:[4, 59, 31], Operations: ['53-22=31']
Exploring Operation: 59-4=55, Resulting Numbers: [31, 55]
Generated Node #0,0,0: 11:[31, 55] Operation: 59-4=55
Exploring Operation: 31-4=27, Resulting Numbers: [59, 27]
Generated Node #0,0,1: 11:[59, 27] Operation: 31-4=27
Exploring Operation: 59-31=28, Resulting Numbers: [4, 28]
Generated Node #0,0,2: 11:[4, 28] Operation: 59-31=28
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[4, 28], Operations: ['53-22=31', '59-31=28']
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[31, 55], Operations: ['53-22=31', '59-4=55']
Exploring Operation: 31*55=1705, Resulting Numbers: [1705]
1705,11 unequal: No Solution
Exploring Operation: 31+55=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[59, 27], Operations: ['53-22=31', '31-4=27']
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 59*27=1593, Resulting Numbers: [1593]
1593,11 unequal: No Solution
Exploring Operation: 59+27=86, Resulting Numbers: [86]
86,11 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: 11:[53, 4, 37], Operations: ['59-22=37']
Exploring Operation: 37-4=33, Resulting Numbers: [53, 33]
Generated Node #0,1,0: 11:[53, 33] Operation: 37-4=33
Exploring Operation: 53-37=16, Resulting Numbers: [4, 16]
Generated Node #0,1,1: 11:[4, 16] Operation: 53-37=16
Exploring Operation: 53-4=49, Resulting Numbers: [37, 49]
Generated Node #0,1,2: 11:[37, 49] Operation: 53-4=49
Moving to Node #0,2,0
Current State: 11:[6, 18], Operations: ['59-53=6', '22-4=18']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[22, 10], Operations: ['59-53=6', '4+6=10']
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[4, 16], Operations: ['59-53=6', '22-6=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[4, 16], Operations: ['59-22=37', '53-37=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[53, 33], Operations: ['59-22=37', '37-4=33']
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 53+33=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 53*33=1749, Resulting Numbers: [1749]
1749,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[37, 49], Operations: ['59-22=37', '53-4=49']
Exploring Operation: 37+49=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 37*49=1813, Resulting Numbers: [1813]
1813,11 unequal: No Solution
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
20,
35,
81,
73
] | 14 | [
"81-73=8",
"35*8=280",
"280/20=14"
] | Current State: 14:[20, 35, 81, 73], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [20, 35, 8]
Generated Node #2: [20, 35, 8] from Operation: 81-73=8
Current State: 14:[20, 35, 8], Operations: ['81-73=8']
Exploring Operation: 35*8=280, Resulting Numbers: [20, 280]
Generated Node #3: [20, 280] from Operation: 35*8=280
Current State: 14:[20, 280], Operations: ['81-73=8', '35*8=280']
Exploring Operation: 280/20=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[20, 35, 81, 73], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [20, 35, 8]
Generated Node #0,0: 14:[20, 35, 8] Operation: 81-73=8
Exploring Operation: 81-35=46, Resulting Numbers: [20, 73, 46]
Generated Node #0,1: 14:[20, 73, 46] Operation: 81-35=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[20, 35, 8], Operations: ['81-73=8']
Exploring Operation: 35-20=15, Resulting Numbers: [8, 15]
Generated Node #0,0,0: 14:[8, 15] Operation: 35-20=15
Exploring Operation: 35-8=27, Resulting Numbers: [20, 27]
Generated Node #0,0,1: 14:[20, 27] Operation: 35-8=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[8, 15], Operations: ['81-73=8', '35-20=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 14:[20, 27], Operations: ['81-73=8', '35-8=27']
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[20, 73, 46], Operations: ['81-35=46']
Exploring Operation: 73-46=27, Resulting Numbers: [20, 27]
Generated Node #0,1,0: 14:[20, 27] Operation: 73-46=27
Exploring Operation: 73-20=53, Resulting Numbers: [46, 53]
Generated Node #0,1,1: 14:[46, 53] Operation: 73-20=53
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[20, 27], Operations: ['81-35=46', '73-46=27']
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[46, 53], Operations: ['81-35=46', '73-20=53']
Exploring Operation: 46+53=99, Resulting Numbers: [99]
99,14 unequal: No Solution
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
28,
26,
64,
11
] | 51 | [
"28-26=2",
"64-11=53",
"53-2=51"
] | Current State: 51:[28, 26, 64, 11], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [64, 11, 2]
Generated Node #2: [64, 11, 2] from Operation: 28-26=2
Current State: 51:[64, 11, 2], Operations: ['28-26=2']
Exploring Operation: 64-11=53, Resulting Numbers: [2, 53]
Generated Node #3: [2, 53] from Operation: 64-11=53
Current State: 51:[2, 53], Operations: ['28-26=2', '64-11=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[28, 26, 64, 11], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [64, 11, 2]
Generated Node #0,0: 51:[64, 11, 2] Operation: 28-26=2
Exploring Operation: 28+26=54, Resulting Numbers: [64, 11, 54]
Generated Node #0,1: 51:[64, 11, 54] Operation: 28+26=54
Exploring Operation: 28-11=17, Resulting Numbers: [26, 64, 17]
Generated Node #0,2: 51:[26, 64, 17] Operation: 28-11=17
Exploring Operation: 64-11=53, Resulting Numbers: [28, 26, 53]
Generated Node #0,3: 51:[28, 26, 53] Operation: 64-11=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[64, 11, 2], Operations: ['28-26=2']
Exploring Operation: 11*2=22, Resulting Numbers: [64, 22]
Generated Node #0,0,0: 51:[64, 22] Operation: 11*2=22
Exploring Operation: 64-11=53, Resulting Numbers: [2, 53]
Generated Node #0,0,1: 51:[2, 53] Operation: 64-11=53
Exploring Operation: 11+2=13, Resulting Numbers: [64, 13]
Generated Node #0,0,2: 51:[64, 13] Operation: 11+2=13
Exploring Operation: 64-2=62, Resulting Numbers: [11, 62]
Generated Node #0,0,3: 51:[11, 62] Operation: 64-2=62
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[2, 53], Operations: ['28-26=2', '64-11=53']
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,51 unequal: No Solution
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,51 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[28, 26, 64, 11], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [64, 11, 2]
Generated Node #0,0: 51:[64, 11, 2] Operation: 28-26=2
Moving to Node #0,0
Current State: 51:[64, 11, 2], Operations: ['28-26=2']
Exploring Operation: 64-11=53, Resulting Numbers: [2, 53]
Generated Node #0,0,1: 51:[2, 53] Operation: 64-11=53
Moving to Node #0,0,1
Current State: 51:[2, 53], Operations: ['28-26=2', '64-11=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
8,
11,
89,
30
] | 56 | [
"11-8=3",
"89-30=59",
"59-3=56"
] | Current State: 56:[8, 11, 89, 30], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [89, 30, 3]
Generated Node #2: [89, 30, 3] from Operation: 11-8=3
Current State: 56:[89, 30, 3], Operations: ['11-8=3']
Exploring Operation: 89-30=59, Resulting Numbers: [3, 59]
Generated Node #3: [3, 59] from Operation: 89-30=59
Current State: 56:[3, 59], Operations: ['11-8=3', '89-30=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[8, 11, 89, 30], Operations: []
Exploring Operation: 89-11=78, Resulting Numbers: [8, 30, 78]
Generated Node #0,0: 56:[8, 30, 78] Operation: 89-11=78
Exploring Operation: 89-8=81, Resulting Numbers: [11, 30, 81]
Generated Node #0,1: 56:[11, 30, 81] Operation: 89-8=81
Exploring Operation: 89-30=59, Resulting Numbers: [8, 11, 59]
Generated Node #0,2: 56:[8, 11, 59] Operation: 89-30=59
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[8, 11, 59], Operations: ['89-30=59']
Exploring Operation: 11-8=3, Resulting Numbers: [59, 3]
Generated Node #0,2,0: 56:[59, 3] Operation: 11-8=3
Exploring Operation: 8+11=19, Resulting Numbers: [59, 19]
Generated Node #0,2,1: 56:[59, 19] Operation: 8+11=19
Exploring Operation: 59-8=51, Resulting Numbers: [11, 51]
Generated Node #0,2,2: 56:[11, 51] Operation: 59-8=51
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[59, 3], Operations: ['89-30=59', '11-8=3']
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,56 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[8, 11, 89, 30], Operations: []
Exploring Operation: 89-30=59, Resulting Numbers: [8, 11, 59]
Generated Node #0,2: 56:[8, 11, 59] Operation: 89-30=59
Moving to Node #0,2
Current State: 56:[8, 11, 59], Operations: ['89-30=59']
Exploring Operation: 11-8=3, Resulting Numbers: [59, 3]
Generated Node #0,2,0: 56:[59, 3] Operation: 11-8=3
Moving to Node #0,2,0
Current State: 56:[59, 3], Operations: ['89-30=59', '11-8=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
93,
71,
51,
27
] | 46 | [
"93-71=22",
"51-27=24",
"22+24=46"
] | Current State: 46:[93, 71, 51, 27], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [51, 27, 22]
Generated Node #2: [51, 27, 22] from Operation: 93-71=22
Current State: 46:[51, 27, 22], Operations: ['93-71=22']
Exploring Operation: 51-27=24, Resulting Numbers: [22, 24]
Generated Node #3: [22, 24] from Operation: 51-27=24
Current State: 46:[22, 24], Operations: ['93-71=22', '51-27=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[93, 71, 51, 27], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [51, 27, 22]
Generated Node #0,0: 46:[51, 27, 22] Operation: 93-71=22
Exploring Operation: 93-51=42, Resulting Numbers: [71, 27, 42]
Generated Node #0,1: 46:[71, 27, 42] Operation: 93-51=42
Exploring Operation: 71-27=44, Resulting Numbers: [93, 51, 44]
Generated Node #0,2: 46:[93, 51, 44] Operation: 71-27=44
Exploring Operation: 93-27=66, Resulting Numbers: [71, 51, 66]
Generated Node #0,3: 46:[71, 51, 66] Operation: 93-27=66
Exploring Operation: 71-51=20, Resulting Numbers: [93, 27, 20]
Generated Node #0,4: 46:[93, 27, 20] Operation: 71-51=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[51, 27, 22], Operations: ['93-71=22']
Exploring Operation: 27-22=5, Resulting Numbers: [51, 5]
Generated Node #0,0,0: 46:[51, 5] Operation: 27-22=5
Exploring Operation: 51-27=24, Resulting Numbers: [22, 24]
Generated Node #0,0,1: 46:[22, 24] Operation: 51-27=24
Exploring Operation: 27+22=49, Resulting Numbers: [51, 49]
Generated Node #0,0,2: 46:[51, 49] Operation: 27+22=49
Exploring Operation: 51+22=73, Resulting Numbers: [27, 73]
Generated Node #0,0,3: 46:[27, 73] Operation: 51+22=73
Exploring Operation: 51-22=29, Resulting Numbers: [27, 29]
Generated Node #0,0,4: 46:[27, 29] Operation: 51-22=29
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 46:[22, 24], Operations: ['93-71=22', '51-27=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[93, 71, 51, 27], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [51, 27, 22]
Generated Node #0,0: 46:[51, 27, 22] Operation: 93-71=22
Moving to Node #0,0
Current State: 46:[51, 27, 22], Operations: ['93-71=22']
Exploring Operation: 51-27=24, Resulting Numbers: [22, 24]
Generated Node #0,0,1: 46:[22, 24] Operation: 51-27=24
Moving to Node #0,0,1
Current State: 46:[22, 24], Operations: ['93-71=22', '51-27=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
21,
50,
75,
19
] | 33 | [
"21*50=1050",
"1050/75=14",
"19+14=33"
] | Current State: 33:[21, 50, 75, 19], Operations: []
Exploring Operation: 21*50=1050, Resulting Numbers: [75, 19, 1050]
Generated Node #2: [75, 19, 1050] from Operation: 21*50=1050
Current State: 33:[75, 19, 1050], Operations: ['21*50=1050']
Exploring Operation: 1050/75=14, Resulting Numbers: [19, 14]
Generated Node #3: [19, 14] from Operation: 1050/75=14
Current State: 33:[19, 14], Operations: ['21*50=1050', '1050/75=14']
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[21, 50, 75, 19], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [21, 50, 56]
Generated Node #0,0: 33:[21, 50, 56] Operation: 75-19=56
Exploring Operation: 50-21=29, Resulting Numbers: [75, 19, 29]
Generated Node #0,1: 33:[75, 19, 29] Operation: 50-21=29
Exploring Operation: 75-50=25, Resulting Numbers: [21, 19, 25]
Generated Node #0,2: 33:[21, 19, 25] Operation: 75-50=25
Exploring Operation: 75-21=54, Resulting Numbers: [50, 19, 54]
Generated Node #0,3: 33:[50, 19, 54] Operation: 75-21=54
Moving to Node #0,2
Current State: 33:[21, 19, 25], Operations: ['75-50=25']
Exploring Operation: 21-19=2, Resulting Numbers: [25, 2]
Generated Node #0,2,0: 33:[25, 2] Operation: 21-19=2
Exploring Operation: 25-21=4, Resulting Numbers: [19, 4]
Generated Node #0,2,1: 33:[19, 4] Operation: 25-21=4
Exploring Operation: 21+19=40, Resulting Numbers: [25, 40]
Generated Node #0,2,2: 33:[25, 40] Operation: 21+19=40
Exploring Operation: 25-19=6, Resulting Numbers: [21, 6]
Generated Node #0,2,3: 33:[21, 6] Operation: 25-19=6
Moving to Node #0,3
Current State: 33:[50, 19, 54], Operations: ['75-21=54']
Exploring Operation: 50-19=31, Resulting Numbers: [54, 31]
Generated Node #0,3,0: 33:[54, 31] Operation: 50-19=31
Exploring Operation: 54-19=35, Resulting Numbers: [50, 35]
Generated Node #0,3,1: 33:[50, 35] Operation: 54-19=35
Exploring Operation: 54-50=4, Resulting Numbers: [19, 4]
Generated Node #0,3,2: 33:[19, 4] Operation: 54-50=4
Exploring Operation: 50+19=69, Resulting Numbers: [54, 69]
Generated Node #0,3,3: 33:[54, 69] Operation: 50+19=69
Moving to Node #0,0
Current State: 33:[21, 50, 56], Operations: ['75-19=56']
Exploring Operation: 56-21=35, Resulting Numbers: [50, 35]
Generated Node #0,0,0: 33:[50, 35] Operation: 56-21=35
Exploring Operation: 56-50=6, Resulting Numbers: [21, 6]
Generated Node #0,0,1: 33:[21, 6] Operation: 56-50=6
Exploring Operation: 21+50=71, Resulting Numbers: [56, 71]
Generated Node #0,0,2: 33:[56, 71] Operation: 21+50=71
Exploring Operation: 50-21=29, Resulting Numbers: [56, 29]
Generated Node #0,0,3: 33:[56, 29] Operation: 50-21=29
Moving to Node #0,1
Current State: 33:[75, 19, 29], Operations: ['50-21=29']
Exploring Operation: 19+29=48, Resulting Numbers: [75, 48]
Generated Node #0,1,0: 33:[75, 48] Operation: 19+29=48
Exploring Operation: 75-19=56, Resulting Numbers: [29, 56]
Generated Node #0,1,1: 33:[29, 56] Operation: 75-19=56
Exploring Operation: 29-19=10, Resulting Numbers: [75, 10]
Generated Node #0,1,2: 33:[75, 10] Operation: 29-19=10
Exploring Operation: 75-29=46, Resulting Numbers: [19, 46]
Generated Node #0,1,3: 33:[19, 46] Operation: 75-29=46
Moving to Node #0,2,0
Current State: 33:[25, 2], Operations: ['75-50=25', '21-19=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,33 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[19, 4], Operations: ['75-50=25', '25-21=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,33 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[19, 4], Operations: ['75-21=54', '54-50=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[21, 6], Operations: ['75-50=25', '25-19=6']
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,33 unequal: No Solution
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[21, 6], Operations: ['75-19=56', '56-50=6']
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,33 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[25, 40], Operations: ['75-50=25', '21+19=40']
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 25+40=65, Resulting Numbers: [65]
65,33 unequal: No Solution
Exploring Operation: 25*40=1000, Resulting Numbers: [1000]
1000,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[50, 35], Operations: ['75-21=54', '54-19=35']
Exploring Operation: 50+35=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Exploring Operation: 50-35=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 50*35=1750, Resulting Numbers: [1750]
1750,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[50, 35], Operations: ['75-19=56', '56-21=35']
Exploring Operation: 50-35=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 50+35=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Exploring Operation: 50*35=1750, Resulting Numbers: [1750]
1750,33 unequal: No Solution
Moving to Node #0,1,3
Current State: 33:[19, 46], Operations: ['50-21=29', '75-29=46']
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,33 unequal: No Solution
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 19*46=874, Resulting Numbers: [874]
874,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[54, 31], Operations: ['75-21=54', '50-19=31']
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,33 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[56, 29], Operations: ['75-19=56', '50-21=29']
Exploring Operation: 56+29=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Exploring Operation: 56*29=1624, Resulting Numbers: [1624]
1624,33 unequal: No Solution
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[29, 56], Operations: ['50-21=29', '75-19=56']
Exploring Operation: 29+56=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 29*56=1624, Resulting Numbers: [1624]
1624,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[75, 10], Operations: ['50-21=29', '29-19=10']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,33 unequal: No Solution
Exploring Operation: 75*10=750, Resulting Numbers: [750]
750,33 unequal: No Solution
Exploring Operation: 75+10=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[75, 48], Operations: ['50-21=29', '19+29=48']
Exploring Operation: 75-48=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 75*48=3600, Resulting Numbers: [3600]
3600,33 unequal: No Solution
Exploring Operation: 75+48=123, Resulting Numbers: [123]
123,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[54, 69], Operations: ['75-21=54', '50+19=69']
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 54+69=123, Resulting Numbers: [123]
123,33 unequal: No Solution
Exploring Operation: 54*69=3726, Resulting Numbers: [3726]
3726,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[56, 71], Operations: ['75-19=56', '21+50=71']
Exploring Operation: 56*71=3976, Resulting Numbers: [3976]
3976,33 unequal: No Solution
Exploring Operation: 56+71=127, Resulting Numbers: [127]
127,33 unequal: No Solution
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,33 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
88,
68,
82,
54
] | 59 | [
"88-82=6",
"54/6=9",
"68-9=59"
] | Current State: 59:[88, 68, 82, 54], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [68, 54, 6]
Generated Node #2: [68, 54, 6] from Operation: 88-82=6
Current State: 59:[68, 54, 6], Operations: ['88-82=6']
Exploring Operation: 54/6=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 54/6=9
Current State: 59:[68, 9], Operations: ['88-82=6', '54/6=9']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[88, 68, 82, 54], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [68, 54, 6]
Generated Node #0,0: 59:[68, 54, 6] Operation: 88-82=6
Exploring Operation: 88-54=34, Resulting Numbers: [68, 82, 34]
Generated Node #0,1: 59:[68, 82, 34] Operation: 88-54=34
Exploring Operation: 88-68=20, Resulting Numbers: [82, 54, 20]
Generated Node #0,2: 59:[82, 54, 20] Operation: 88-68=20
Exploring Operation: 82-54=28, Resulting Numbers: [88, 68, 28]
Generated Node #0,3: 59:[88, 68, 28] Operation: 82-54=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[68, 82, 34], Operations: ['88-54=34']
Exploring Operation: 82+34=116, Resulting Numbers: [68, 116]
Generated Node #0,1,0: 59:[68, 116] Operation: 82+34=116
Exploring Operation: 82-34=48, Resulting Numbers: [68, 48]
Generated Node #0,1,1: 59:[68, 48] Operation: 82-34=48
Exploring Operation: 68-34=34, Resulting Numbers: [82, 34]
Generated Node #0,1,2: 59:[82, 34] Operation: 68-34=34
Exploring Operation: 68+34=102, Resulting Numbers: [82, 102]
Generated Node #0,1,3: 59:[82, 102] Operation: 68+34=102
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[68, 48], Operations: ['88-54=34', '82-34=48']
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,59 unequal: No Solution
No 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: 59:[82, 34], Operations: ['88-54=34', '68-34=34']
Exploring Operation: 82+34=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,59 unequal: No Solution
Exploring Operation: 82*34=2788, Resulting Numbers: [2788]
2788,59 unequal: No Solution
No 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: 59:[68, 116], Operations: ['88-54=34', '82+34=116']
Exploring Operation: 68+116=184, Resulting Numbers: [184]
184,59 unequal: No Solution
Exploring Operation: 68*116=7888, Resulting Numbers: [7888]
7888,59 unequal: No Solution
Exploring Operation: 116-68=48, Resulting Numbers: [48]
48,59 unequal: No Solution
No 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: 59:[82, 102], Operations: ['88-54=34', '68+34=102']
Exploring Operation: 82*102=8364, Resulting Numbers: [8364]
8364,59 unequal: No Solution
Exploring Operation: 102-82=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 82+102=184, Resulting Numbers: [184]
184,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[68, 54, 6], Operations: ['88-82=6']
Exploring Operation: 54-6=48, Resulting Numbers: [68, 48]
Generated Node #0,0,0: 59:[68, 48] Operation: 54-6=48
Exploring Operation: 68+6=74, Resulting Numbers: [54, 74]
Generated Node #0,0,1: 59:[54, 74] Operation: 68+6=74
Exploring Operation: 54+6=60, Resulting Numbers: [68, 60]
Generated Node #0,0,2: 59:[68, 60] Operation: 54+6=60
Exploring Operation: 68-6=62, Resulting Numbers: [54, 62]
Generated Node #0,0,3: 59:[54, 62] Operation: 68-6=62
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 59:[54, 62], Operations: ['88-82=6', '68-6=62']
Exploring Operation: 54*62=3348, Resulting Numbers: [3348]
3348,59 unequal: No Solution
Exploring Operation: 62-54=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 54+62=116, Resulting Numbers: [116]
116,59 unequal: No Solution
No 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: 59:[68, 60], Operations: ['88-82=6', '54+6=60']
Exploring Operation: 68-60=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 68*60=4080, Resulting Numbers: [4080]
4080,59 unequal: No Solution
Exploring Operation: 68+60=128, Resulting Numbers: [128]
128,59 unequal: No Solution
No 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: 59:[68, 48], Operations: ['88-82=6', '54-6=48']
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,59 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,59 unequal: No Solution
No 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: 59:[54, 74], Operations: ['88-82=6', '68+6=74']
Exploring Operation: 54*74=3996, Resulting Numbers: [3996]
3996,59 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 54+74=128, Resulting Numbers: [128]
128,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[82, 54, 20], Operations: ['88-68=20']
Exploring Operation: 54-20=34, Resulting Numbers: [82, 34]
Generated Node #0,2,0: 59:[82, 34] Operation: 54-20=34
Exploring Operation: 82+20=102, Resulting Numbers: [54, 102]
Generated Node #0,2,1: 59:[54, 102] Operation: 82+20=102
Exploring Operation: 82-20=62, Resulting Numbers: [54, 62]
Generated Node #0,2,2: 59:[54, 62] Operation: 82-20=62
Exploring Operation: 54+20=74, Resulting Numbers: [82, 74]
Generated Node #0,2,3: 59:[82, 74] Operation: 54+20=74
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 59:[54, 62], Operations: ['88-68=20', '82-20=62']
Exploring Operation: 54+62=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 54*62=3348, Resulting Numbers: [3348]
3348,59 unequal: No Solution
Exploring Operation: 62-54=8, Resulting Numbers: [8]
8,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 59:[82, 74], Operations: ['88-68=20', '54+20=74']
Exploring Operation: 82*74=6068, Resulting Numbers: [6068]
6068,59 unequal: No Solution
Exploring Operation: 82+74=156, Resulting Numbers: [156]
156,59 unequal: No Solution
Exploring Operation: 82-74=8, Resulting Numbers: [8]
8,59 unequal: No Solution
No 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: 59:[82, 34], Operations: ['88-68=20', '54-20=34']
Exploring Operation: 82*34=2788, Resulting Numbers: [2788]
2788,59 unequal: No Solution
Exploring Operation: 82+34=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,59 unequal: No Solution
No 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: 59:[54, 102], Operations: ['88-68=20', '82+20=102']
Exploring Operation: 54*102=5508, Resulting Numbers: [5508]
5508,59 unequal: No Solution
Exploring Operation: 54+102=156, Resulting Numbers: [156]
156,59 unequal: No Solution
Exploring Operation: 102-54=48, Resulting Numbers: [48]
48,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[88, 68, 28], Operations: ['82-54=28']
Exploring Operation: 88-28=60, Resulting Numbers: [68, 60]
Generated Node #0,3,0: 59:[68, 60] Operation: 88-28=60
Exploring Operation: 68-28=40, Resulting Numbers: [88, 40]
Generated Node #0,3,1: 59:[88, 40] Operation: 68-28=40
Exploring Operation: 68+28=96, Resulting Numbers: [88, 96]
Generated Node #0,3,2: 59:[88, 96] Operation: 68+28=96
Exploring Operation: 88+28=116, Resulting Numbers: [68, 116]
Generated Node #0,3,3: 59:[68, 116] Operation: 88+28=116
Moving to Node #0,3,0
Current State: 59:[68, 60], Operations: ['82-54=28', '88-28=60']
Exploring Operation: 68*60=4080, Resulting Numbers: [4080]
4080,59 unequal: No Solution
Exploring Operation: 68-60=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 68+60=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[88, 40], Operations: ['82-54=28', '68-28=40']
Exploring Operation: 88-40=48, Resulting Numbers: [48]
48,59 unequal: No Solution
Exploring Operation: 88*40=3520, Resulting Numbers: [3520]
3520,59 unequal: No Solution
Exploring Operation: 88+40=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[68, 116], Operations: ['82-54=28', '88+28=116']
Exploring Operation: 68*116=7888, Resulting Numbers: [7888]
7888,59 unequal: No Solution
Exploring Operation: 68+116=184, Resulting Numbers: [184]
184,59 unequal: No Solution
Exploring Operation: 116-68=48, Resulting Numbers: [48]
48,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[88, 96], Operations: ['82-54=28', '68+28=96']
Exploring Operation: 96-88=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 88+96=184, Resulting Numbers: [184]
184,59 unequal: No Solution
Exploring Operation: 88*96=8448, Resulting Numbers: [8448]
8448,59 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 |
[
67,
88,
19,
18
] | 58 | [
"88-67=21",
"19+18=37",
"21+37=58"
] | Current State: 58:[67, 88, 19, 18], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [19, 18, 21]
Generated Node #2: [19, 18, 21] from Operation: 88-67=21
Current State: 58:[19, 18, 21], Operations: ['88-67=21']
Exploring Operation: 19+18=37, Resulting Numbers: [21, 37]
Generated Node #3: [21, 37] from Operation: 19+18=37
Current State: 58:[21, 37], Operations: ['88-67=21', '19+18=37']
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[67, 88, 19, 18], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [19, 18, 21]
Generated Node #0,0: 58:[19, 18, 21] Operation: 88-67=21
Exploring Operation: 88-19=69, Resulting Numbers: [67, 18, 69]
Generated Node #0,1: 58:[67, 18, 69] Operation: 88-19=69
Exploring Operation: 19-18=1, Resulting Numbers: [67, 88, 1]
Generated Node #0,2: 58:[67, 88, 1] Operation: 19-18=1
Exploring Operation: 88-18=70, Resulting Numbers: [67, 19, 70]
Generated Node #0,3: 58:[67, 19, 70] Operation: 88-18=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[19, 18, 21], Operations: ['88-67=21']
Exploring Operation: 19+18=37, Resulting Numbers: [21, 37]
Generated Node #0,0,0: 58:[21, 37] Operation: 19+18=37
Exploring Operation: 19-18=1, Resulting Numbers: [21, 1]
Generated Node #0,0,1: 58:[21, 1] Operation: 19-18=1
Exploring Operation: 21-19=2, Resulting Numbers: [18, 2]
Generated Node #0,0,2: 58:[18, 2] Operation: 21-19=2
Exploring Operation: 21-18=3, Resulting Numbers: [19, 3]
Generated Node #0,0,3: 58:[19, 3] Operation: 21-18=3
Moving to Node #0,0,1
Current State: 58:[21, 1], Operations: ['88-67=21', '19-18=1']
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,58 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,58 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Moving to Node #0,0,3
Current State: 58:[19, 3], Operations: ['88-67=21', '21-18=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,58 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[18, 2], Operations: ['88-67=21', '21-19=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,58 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[21, 37], Operations: ['88-67=21', '19+18=37']
Exploring Operation: 21*37=777, Resulting Numbers: [777]
777,58 unequal: No Solution
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[67, 88, 19, 18], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [19, 18, 21]
Generated Node #0,0: 58:[19, 18, 21] Operation: 88-67=21
Moving to Node #0,0
Current State: 58:[19, 18, 21], Operations: ['88-67=21']
Exploring Operation: 19+18=37, Resulting Numbers: [21, 37]
Generated Node #0,0,0: 58:[21, 37] Operation: 19+18=37
Moving to Node #0,0,0
Current State: 58:[21, 37], Operations: ['88-67=21', '19+18=37']
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
89,
63,
46,
40
] | 91 | [
"63-40=23",
"46/23=2",
"89+2=91"
] | Current State: 91:[89, 63, 46, 40], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [89, 46, 23]
Generated Node #2: [89, 46, 23] from Operation: 63-40=23
Current State: 91:[89, 46, 23], Operations: ['63-40=23']
Exploring Operation: 46/23=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 46/23=2
Current State: 91:[89, 2], Operations: ['63-40=23', '46/23=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[89, 63, 46, 40], Operations: []
Exploring Operation: 46-40=6, Resulting Numbers: [89, 63, 6]
Generated Node #0,0: 91:[89, 63, 6] Operation: 46-40=6
Exploring Operation: 46+40=86, Resulting Numbers: [89, 63, 86]
Generated Node #0,1: 91:[89, 63, 86] Operation: 46+40=86
Exploring Operation: 63-46=17, Resulting Numbers: [89, 40, 17]
Generated Node #0,2: 91:[89, 40, 17] Operation: 63-46=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[89, 63, 6], Operations: ['46-40=6']
Exploring Operation: 63+6=69, Resulting Numbers: [89, 69]
Generated Node #0,0,0: 91:[89, 69] Operation: 63+6=69
Exploring Operation: 89-63=26, Resulting Numbers: [6, 26]
Generated Node #0,0,1: 91:[6, 26] Operation: 89-63=26
Exploring Operation: 89+6=95, Resulting Numbers: [63, 95]
Generated Node #0,0,2: 91:[63, 95] Operation: 89+6=95
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[6, 26], Operations: ['46-40=6', '89-63=26']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 6*26=156, Resulting Numbers: [156]
156,91 unequal: No Solution
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,91 unequal: No Solution
No 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: 91:[89, 69], Operations: ['46-40=6', '63+6=69']
Exploring Operation: 89*69=6141, Resulting Numbers: [6141]
6141,91 unequal: No Solution
Exploring Operation: 89-69=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 89+69=158, Resulting Numbers: [158]
158,91 unequal: No Solution
No 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: 91:[63, 95], Operations: ['46-40=6', '89+6=95']
Exploring Operation: 63*95=5985, Resulting Numbers: [5985]
5985,91 unequal: No Solution
Exploring Operation: 63+95=158, Resulting Numbers: [158]
158,91 unequal: No Solution
Exploring Operation: 95-63=32, Resulting Numbers: [32]
32,91 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: 91:[89, 40, 17], Operations: ['63-46=17']
Exploring Operation: 89-40=49, Resulting Numbers: [17, 49]
Generated Node #0,2,0: 91:[17, 49] Operation: 89-40=49
Exploring Operation: 40+17=57, Resulting Numbers: [89, 57]
Generated Node #0,2,1: 91:[89, 57] Operation: 40+17=57
Exploring Operation: 40-17=23, Resulting Numbers: [89, 23]
Generated Node #0,2,2: 91:[89, 23] Operation: 40-17=23
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 91:[89, 23], Operations: ['63-46=17', '40-17=23']
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 89*23=2047, Resulting Numbers: [2047]
2047,91 unequal: No Solution
Exploring Operation: 89+23=112, Resulting Numbers: [112]
112,91 unequal: No Solution
No 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: 91:[89, 57], Operations: ['63-46=17', '40+17=57']
Exploring Operation: 89+57=146, Resulting Numbers: [146]
146,91 unequal: No Solution
Exploring Operation: 89-57=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 89*57=5073, Resulting Numbers: [5073]
5073,91 unequal: No Solution
No 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: 91:[17, 49], Operations: ['63-46=17', '89-40=49']
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 17+49=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 17*49=833, Resulting Numbers: [833]
833,91 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: 91:[89, 63, 86], Operations: ['46+40=86']
Exploring Operation: 89-63=26, Resulting Numbers: [86, 26]
Generated Node #0,1,0: 91:[86, 26] Operation: 89-63=26
Exploring Operation: 89-86=3, Resulting Numbers: [63, 3]
Generated Node #0,1,1: 91:[63, 3] Operation: 89-86=3
Exploring Operation: 86-63=23, Resulting Numbers: [89, 23]
Generated Node #0,1,2: 91:[89, 23] Operation: 86-63=23
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 91:[89, 23], Operations: ['46+40=86', '86-63=23']
Exploring Operation: 89*23=2047, Resulting Numbers: [2047]
2047,91 unequal: No Solution
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 89+23=112, Resulting Numbers: [112]
112,91 unequal: No Solution
No 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: 91:[86, 26], Operations: ['46+40=86', '89-63=26']
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,91 unequal: No Solution
Exploring Operation: 86+26=112, Resulting Numbers: [112]
112,91 unequal: No Solution
Exploring Operation: 86*26=2236, Resulting Numbers: [2236]
2236,91 unequal: No Solution
No 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: 91:[63, 3], Operations: ['46+40=86', '89-86=3']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,91 unequal: No Solution
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,91 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 |
[
72,
35,
83,
89
] | 47 | [
"89-83=6",
"72/6=12",
"35+12=47"
] | Current State: 47:[72, 35, 83, 89], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [72, 35, 6]
Generated Node #2: [72, 35, 6] from Operation: 89-83=6
Current State: 47:[72, 35, 6], Operations: ['89-83=6']
Exploring Operation: 72/6=12, Resulting Numbers: [35, 12]
Generated Node #3: [35, 12] from Operation: 72/6=12
Current State: 47:[35, 12], Operations: ['89-83=6', '72/6=12']
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[72, 35, 83, 89], Operations: []
Exploring Operation: 83-35=48, Resulting Numbers: [72, 89, 48]
Generated Node #0,0: 47:[72, 89, 48] Operation: 83-35=48
Exploring Operation: 89-35=54, Resulting Numbers: [72, 83, 54]
Generated Node #0,1: 47:[72, 83, 54] Operation: 89-35=54
Moving to Node #0,0
Current State: 47:[72, 89, 48], Operations: ['83-35=48']
Exploring Operation: 89-72=17, Resulting Numbers: [48, 17]
Generated Node #0,0,0: 47:[48, 17] Operation: 89-72=17
Exploring Operation: 89-48=41, Resulting Numbers: [72, 41]
Generated Node #0,0,1: 47:[72, 41] Operation: 89-48=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[48, 17], Operations: ['83-35=48', '89-72=17']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 48+17=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 #0,0,1
Current State: 47:[72, 41], Operations: ['83-35=48', '89-48=41']
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,47 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,47 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:[72, 83, 54], Operations: ['89-35=54']
Exploring Operation: 83-54=29, Resulting Numbers: [72, 29]
Generated Node #0,1,0: 47:[72, 29] Operation: 83-54=29
Exploring Operation: 83-72=11, Resulting Numbers: [54, 11]
Generated Node #0,1,1: 47:[54, 11] Operation: 83-72=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[72, 29], Operations: ['89-35=54', '83-54=29']
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 72+29=101, Resulting Numbers: [101]
101,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[54, 11], Operations: ['89-35=54', '83-72=11']
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 54+11=65, Resulting Numbers: [65]
65,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
24,
86,
19,
47
] | 45 | [
"24+19=43",
"86/43=2",
"47-2=45"
] | Current State: 45:[24, 86, 19, 47], Operations: []
Exploring Operation: 24+19=43, Resulting Numbers: [86, 47, 43]
Generated Node #2: [86, 47, 43] from Operation: 24+19=43
Current State: 45:[86, 47, 43], Operations: ['24+19=43']
Exploring Operation: 86/43=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 86/43=2
Current State: 45:[47, 2], Operations: ['24+19=43', '86/43=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[24, 86, 19, 47], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [86, 47, 5]
Generated Node #0,0: 45:[86, 47, 5] Operation: 24-19=5
Exploring Operation: 86-47=39, Resulting Numbers: [24, 19, 39]
Generated Node #0,1: 45:[24, 19, 39] Operation: 86-47=39
Exploring Operation: 86-19=67, Resulting Numbers: [24, 47, 67]
Generated Node #0,2: 45:[24, 47, 67] Operation: 86-19=67
Exploring Operation: 86-24=62, Resulting Numbers: [19, 47, 62]
Generated Node #0,3: 45:[19, 47, 62] Operation: 86-24=62
Moving to Node #0,1
Current State: 45:[24, 19, 39], Operations: ['86-47=39']
Exploring Operation: 39-19=20, Resulting Numbers: [24, 20]
Generated Node #0,1,0: 45:[24, 20] Operation: 39-19=20
Exploring Operation: 39-24=15, Resulting Numbers: [19, 15]
Generated Node #0,1,1: 45:[19, 15] Operation: 39-24=15
Exploring Operation: 24+19=43, Resulting Numbers: [39, 43]
Generated Node #0,1,2: 45:[39, 43] Operation: 24+19=43
Exploring Operation: 24-19=5, Resulting Numbers: [39, 5]
Generated Node #0,1,3: 45:[39, 5] Operation: 24-19=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[19, 15], Operations: ['86-47=39', '39-24=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,45 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 19*15=285, Resulting Numbers: [285]
285,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 45:[39, 5], Operations: ['86-47=39', '24-19=5']
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,45 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[39, 43], Operations: ['86-47=39', '24+19=43']
Exploring Operation: 39*43=1677, Resulting Numbers: [1677]
1677,45 unequal: No Solution
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,45 unequal: No Solution
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 45:[24, 20], Operations: ['86-47=39', '39-19=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,45 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 45:[19, 47, 62], Operations: ['86-24=62']
Exploring Operation: 62-19=43, Resulting Numbers: [47, 43]
Generated Node #0,3,0: 45:[47, 43] Operation: 62-19=43
Exploring Operation: 62-47=15, Resulting Numbers: [19, 15]
Generated Node #0,3,1: 45:[19, 15] Operation: 62-47=15
Exploring Operation: 47-19=28, Resulting Numbers: [62, 28]
Generated Node #0,3,2: 45:[62, 28] Operation: 47-19=28
Exploring Operation: 19+47=66, Resulting Numbers: [62, 66]
Generated Node #0,3,3: 45:[62, 66] Operation: 19+47=66
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 45:[47, 43], Operations: ['86-24=62', '62-19=43']
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,45 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 45:[19, 15], Operations: ['86-24=62', '62-47=15']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 19*15=285, Resulting Numbers: [285]
285,45 unequal: No Solution
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 45:[62, 28], Operations: ['86-24=62', '47-19=28']
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,45 unequal: No Solution
Exploring Operation: 62+28=90, Resulting Numbers: [90]
90,45 unequal: No Solution
Exploring Operation: 62*28=1736, Resulting Numbers: [1736]
1736,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 45:[62, 66], Operations: ['86-24=62', '19+47=66']
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 62*66=4092, Resulting Numbers: [4092]
4092,45 unequal: No Solution
Exploring Operation: 62+66=128, Resulting Numbers: [128]
128,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 45:[24, 47, 67], Operations: ['86-19=67']
Exploring Operation: 24+47=71, Resulting Numbers: [67, 71]
Generated Node #0,2,0: 45:[67, 71] Operation: 24+47=71
Exploring Operation: 67-24=43, Resulting Numbers: [47, 43]
Generated Node #0,2,1: 45:[47, 43] Operation: 67-24=43
Exploring Operation: 47-24=23, Resulting Numbers: [67, 23]
Generated Node #0,2,2: 45:[67, 23] Operation: 47-24=23
Exploring Operation: 67-47=20, Resulting Numbers: [24, 20]
Generated Node #0,2,3: 45:[24, 20] Operation: 67-47=20
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 45:[47, 43], Operations: ['86-19=67', '67-24=43']
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,45 unequal: No Solution
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,45 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 45:[24, 20], Operations: ['86-19=67', '67-47=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,45 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[67, 23], Operations: ['86-19=67', '47-24=23']
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,45 unequal: No Solution
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[67, 71], Operations: ['86-19=67', '24+47=71']
Exploring Operation: 71-67=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 67*71=4757, Resulting Numbers: [4757]
4757,45 unequal: No Solution
Exploring Operation: 67+71=138, Resulting Numbers: [138]
138,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 45:[86, 47, 5], Operations: ['24-19=5']
Exploring Operation: 86-5=81, Resulting Numbers: [47, 81]
Generated Node #0,0,0: 45:[47, 81] Operation: 86-5=81
Exploring Operation: 86+5=91, Resulting Numbers: [47, 91]
Generated Node #0,0,1: 45:[47, 91] Operation: 86+5=91
Exploring Operation: 86-47=39, Resulting Numbers: [5, 39]
Generated Node #0,0,2: 45:[5, 39] Operation: 86-47=39
Exploring Operation: 47-5=42, Resulting Numbers: [86, 42]
Generated Node #0,0,3: 45:[86, 42] Operation: 47-5=42
Moving to Node #0,0,2
Current State: 45:[5, 39], Operations: ['24-19=5', '86-47=39']
Exploring Operation: 5*39=195, Resulting Numbers: [195]
195,45 unequal: No Solution
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[47, 81], Operations: ['24-19=5', '86-5=81']
Exploring Operation: 47*81=3807, Resulting Numbers: [3807]
3807,45 unequal: No Solution
Exploring Operation: 47+81=128, Resulting Numbers: [128]
128,45 unequal: No Solution
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,45 unequal: No Solution
Moving to Node #0,0,3
Current State: 45:[86, 42], Operations: ['24-19=5', '47-5=42']
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 86*42=3612, Resulting Numbers: [3612]
3612,45 unequal: No Solution
Exploring Operation: 86+42=128, Resulting Numbers: [128]
128,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[47, 91], Operations: ['24-19=5', '86+5=91']
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 47*91=4277, Resulting Numbers: [4277]
4277,45 unequal: No Solution
Exploring Operation: 47+91=138, Resulting Numbers: [138]
138,45 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
53,
26,
78,
14
] | 24 | [
"53-14=39",
"78/39=2",
"26-2=24"
] | Current State: 24:[53, 26, 78, 14], Operations: []
Exploring Operation: 53-14=39, Resulting Numbers: [26, 78, 39]
Generated Node #2: [26, 78, 39] from Operation: 53-14=39
Current State: 24:[26, 78, 39], Operations: ['53-14=39']
Exploring Operation: 78/39=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 78/39=2
Current State: 24:[26, 2], Operations: ['53-14=39', '78/39=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[53, 26, 78, 14], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [26, 14, 25]
Generated Node #0,0: 24:[26, 14, 25] Operation: 78-53=25
Moving to Node #0,0
Current State: 24:[26, 14, 25], Operations: ['78-53=25']
Exploring Operation: 26-14=12, Resulting Numbers: [25, 12]
Generated Node #0,0,0: 24:[25, 12] Operation: 26-14=12
Moving to Node #0,0,0
Current State: 24:[25, 12], Operations: ['78-53=25', '26-14=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,24 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
6,
85,
66,
66
] | 90 | [
"6+85=91",
"66/66=1",
"91-1=90"
] | Current State: 90:[6, 85, 66, 66], Operations: []
Exploring Operation: 6+85=91, Resulting Numbers: [66, 66, 91]
Generated Node #2: [66, 66, 91] from Operation: 6+85=91
Current State: 90:[66, 66, 91], Operations: ['6+85=91']
Exploring Operation: 66/66=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 66/66=1
Current State: 90:[91, 1], Operations: ['6+85=91', '66/66=1']
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[6, 85, 66, 66], Operations: []
Exploring Operation: 66/66=1, Resulting Numbers: [6, 85, 1]
Generated Node #0,0: 90:[6, 85, 1] Operation: 66/66=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[6, 85, 1], Operations: ['66/66=1']
Exploring Operation: 6+85=91, Resulting Numbers: [1, 91]
Generated Node #0,0,0: 90:[1, 91] Operation: 6+85=91
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[1, 91], Operations: ['66/66=1', '6+85=91']
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[6, 85, 66, 66], Operations: []
Exploring Operation: 66/66=1, Resulting Numbers: [6, 85, 1]
Generated Node #0,0: 90:[6, 85, 1] Operation: 66/66=1
Moving to Node #0,0
Current State: 90:[6, 85, 1], Operations: ['66/66=1']
Exploring Operation: 6+85=91, Resulting Numbers: [1, 91]
Generated Node #0,0,0: 90:[1, 91] Operation: 6+85=91
Moving to Node #0,0,0
Current State: 90:[1, 91], Operations: ['66/66=1', '6+85=91']
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
2,
64,
65,
35
] | 34 | [
"2+64=66",
"65+35=100",
"100-66=34"
] | Current State: 34:[2, 64, 65, 35], Operations: []
Exploring Operation: 2+64=66, Resulting Numbers: [65, 35, 66]
Generated Node #2: [65, 35, 66] from Operation: 2+64=66
Current State: 34:[65, 35, 66], Operations: ['2+64=66']
Exploring Operation: 65+35=100, Resulting Numbers: [66, 100]
Generated Node #3: [66, 100] from Operation: 65+35=100
Current State: 34:[66, 100], Operations: ['2+64=66', '65+35=100']
Exploring Operation: 100-66=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[2, 64, 65, 35], Operations: []
Exploring Operation: 65-64=1, Resulting Numbers: [2, 35, 1]
Generated Node #0,0: 34:[2, 35, 1] Operation: 65-64=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[2, 35, 1], Operations: ['65-64=1']
Exploring Operation: 35-1=34, Resulting Numbers: [2, 34]
Generated Node #0,0,0: 34:[2, 34] Operation: 35-1=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 34:[2, 34], Operations: ['65-64=1', '35-1=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
89,
32,
7,
9
] | 41 | [
"89-32=57",
"7+9=16",
"57-16=41"
] | Current State: 41:[89, 32, 7, 9], Operations: []
Exploring Operation: 89-32=57, Resulting Numbers: [7, 9, 57]
Generated Node #2: [7, 9, 57] from Operation: 89-32=57
Current State: 41:[7, 9, 57], Operations: ['89-32=57']
Exploring Operation: 7+9=16, Resulting Numbers: [57, 16]
Generated Node #3: [57, 16] from Operation: 7+9=16
Current State: 41:[57, 16], Operations: ['89-32=57', '7+9=16']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[89, 32, 7, 9], Operations: []
Exploring Operation: 89-32=57, Resulting Numbers: [7, 9, 57]
Generated Node #0,0: 41:[7, 9, 57] Operation: 89-32=57
Exploring Operation: 89-7=82, Resulting Numbers: [32, 9, 82]
Generated Node #0,1: 41:[32, 9, 82] Operation: 89-7=82
Exploring Operation: 7*9=63, Resulting Numbers: [89, 32, 63]
Generated Node #0,2: 41:[89, 32, 63] Operation: 7*9=63
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[89, 32, 63], Operations: ['7*9=63']
Exploring Operation: 63-32=31, Resulting Numbers: [89, 31]
Generated Node #0,2,0: 41:[89, 31] Operation: 63-32=31
Exploring Operation: 89-32=57, Resulting Numbers: [63, 57]
Generated Node #0,2,1: 41:[63, 57] Operation: 89-32=57
Exploring Operation: 89-63=26, Resulting Numbers: [32, 26]
Generated Node #0,2,2: 41:[32, 26] Operation: 89-63=26
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 41:[32, 26], Operations: ['7*9=63', '89-63=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,41 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:[63, 57], Operations: ['7*9=63', '89-32=57']
Exploring Operation: 63+57=120, Resulting Numbers: [120]
120,41 unequal: No Solution
Exploring Operation: 63*57=3591, Resulting Numbers: [3591]
3591,41 unequal: No Solution
Exploring Operation: 63-57=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 #0,2,0
Current State: 41:[89, 31], Operations: ['7*9=63', '63-32=31']
Exploring Operation: 89*31=2759, Resulting Numbers: [2759]
2759,41 unequal: No Solution
Exploring Operation: 89-31=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 89+31=120, Resulting Numbers: [120]
120,41 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 #0,0
Current State: 41:[7, 9, 57], Operations: ['89-32=57']
Exploring Operation: 7*9=63, Resulting Numbers: [57, 63]
Generated Node #0,0,0: 41:[57, 63] Operation: 7*9=63
Exploring Operation: 57-7=50, Resulting Numbers: [9, 50]
Generated Node #0,0,1: 41:[9, 50] Operation: 57-7=50
Exploring Operation: 7+9=16, Resulting Numbers: [57, 16]
Generated Node #0,0,2: 41:[57, 16] Operation: 7+9=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[57, 63], Operations: ['89-32=57', '7*9=63']
Exploring Operation: 57+63=120, Resulting Numbers: [120]
120,41 unequal: No Solution
Exploring Operation: 57*63=3591, Resulting Numbers: [3591]
3591,41 unequal: No Solution
Exploring Operation: 63-57=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:[9, 50], Operations: ['89-32=57', '57-7=50']
Exploring Operation: 9*50=450, Resulting Numbers: [450]
450,41 unequal: No Solution
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,41 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[89, 32, 7, 9], Operations: []
Exploring Operation: 89-32=57, Resulting Numbers: [7, 9, 57]
Generated Node #0,0: 41:[7, 9, 57] Operation: 89-32=57
Moving to Node #0,0
Current State: 41:[7, 9, 57], Operations: ['89-32=57']
Exploring Operation: 57-7=50, Resulting Numbers: [9, 50]
Generated Node #0,0,1: 41:[9, 50] Operation: 57-7=50
Moving to Node #0,0,1
Current State: 41:[9, 50], Operations: ['89-32=57', '57-7=50']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.975694 | hs_3 | mult_heuristic |
[
90,
17,
80,
44
] | 24 | [
"44-17=27",
"80*27=2160",
"2160/90=24"
] | Current State: 24:[90, 17, 80, 44], Operations: []
Exploring Operation: 44-17=27, Resulting Numbers: [90, 80, 27]
Generated Node #2: [90, 80, 27] from Operation: 44-17=27
Current State: 24:[90, 80, 27], Operations: ['44-17=27']
Exploring Operation: 80*27=2160, Resulting Numbers: [90, 2160]
Generated Node #3: [90, 2160] from Operation: 80*27=2160
Current State: 24:[90, 2160], Operations: ['44-17=27', '80*27=2160']
Exploring Operation: 2160/90=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[90, 17, 80, 44], Operations: []
Exploring Operation: 90-17=73, Resulting Numbers: [80, 44, 73]
Generated Node #0,0: 24:[80, 44, 73] Operation: 90-17=73
Exploring Operation: 90-80=10, Resulting Numbers: [17, 44, 10]
Generated Node #0,1: 24:[17, 44, 10] Operation: 90-80=10
Exploring Operation: 90-44=46, Resulting Numbers: [17, 80, 46]
Generated Node #0,2: 24:[17, 80, 46] Operation: 90-44=46
Exploring Operation: 80-44=36, Resulting Numbers: [90, 17, 36]
Generated Node #0,3: 24:[90, 17, 36] Operation: 80-44=36
Moving to Node #0,1
Current State: 24:[17, 44, 10], Operations: ['90-80=10']
Exploring Operation: 44-17=27, Resulting Numbers: [10, 27]
Generated Node #0,1,0: 24:[10, 27] Operation: 44-17=27
Exploring Operation: 44-10=34, Resulting Numbers: [17, 34]
Generated Node #0,1,1: 24:[17, 34] Operation: 44-10=34
Exploring Operation: 17-10=7, Resulting Numbers: [44, 7]
Generated Node #0,1,2: 24:[44, 7] Operation: 17-10=7
Exploring Operation: 17+10=27, Resulting Numbers: [44, 27]
Generated Node #0,1,3: 24:[44, 27] Operation: 17+10=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[10, 27], Operations: ['90-80=10', '44-17=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,24 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[17, 34], Operations: ['90-80=10', '44-10=34']
Exploring Operation: 17+34=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 17*34=578, Resulting Numbers: [578]
578,24 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 24:[44, 7], Operations: ['90-80=10', '17-10=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 24:[44, 27], Operations: ['90-80=10', '17+10=27']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,24 unequal: No Solution
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,24 unequal: No Solution
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,24 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: 24:[90, 17, 36], Operations: ['80-44=36']
Exploring Operation: 90+17=107, Resulting Numbers: [36, 107]
Generated Node #0,3,0: 24:[36, 107] Operation: 90+17=107
Exploring Operation: 90-17=73, Resulting Numbers: [36, 73]
Generated Node #0,3,1: 24:[36, 73] Operation: 90-17=73
Exploring Operation: 36-17=19, Resulting Numbers: [90, 19]
Generated Node #0,3,2: 24:[90, 19] Operation: 36-17=19
Exploring Operation: 90-36=54, Resulting Numbers: [17, 54]
Generated Node #0,3,3: 24:[17, 54] Operation: 90-36=54
Moving to Node #0,2
Current State: 24:[17, 80, 46], Operations: ['90-44=46']
Exploring Operation: 80-17=63, Resulting Numbers: [46, 63]
Generated Node #0,2,0: 24:[46, 63] Operation: 80-17=63
Exploring Operation: 17+80=97, Resulting Numbers: [46, 97]
Generated Node #0,2,1: 24:[46, 97] Operation: 17+80=97
Exploring Operation: 46-17=29, Resulting Numbers: [80, 29]
Generated Node #0,2,2: 24:[80, 29] Operation: 46-17=29
Exploring Operation: 80-46=34, Resulting Numbers: [17, 34]
Generated Node #0,2,3: 24:[17, 34] Operation: 80-46=34
Moving to Node #0,0
Current State: 24:[80, 44, 73], Operations: ['90-17=73']
Exploring Operation: 80-73=7, Resulting Numbers: [44, 7]
Generated Node #0,0,0: 24:[44, 7] Operation: 80-73=7
Exploring Operation: 73-44=29, Resulting Numbers: [80, 29]
Generated Node #0,0,1: 24:[80, 29] Operation: 73-44=29
Exploring Operation: 80-44=36, Resulting Numbers: [73, 36]
Generated Node #0,0,2: 24:[73, 36] Operation: 80-44=36
Exploring Operation: 80+44=124, Resulting Numbers: [73, 124]
Generated Node #0,0,3: 24:[73, 124] Operation: 80+44=124
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[44, 7], Operations: ['90-17=73', '80-73=7']
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,24 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[80, 29], Operations: ['90-17=73', '73-44=29']
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 80+29=109, Resulting Numbers: [109]
109,24 unequal: No Solution
Exploring Operation: 80*29=2320, Resulting Numbers: [2320]
2320,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[73, 36], Operations: ['90-17=73', '80-44=36']
Exploring Operation: 73*36=2628, Resulting Numbers: [2628]
2628,24 unequal: No Solution
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 73+36=109, Resulting Numbers: [109]
109,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 24:[73, 124], Operations: ['90-17=73', '80+44=124']
Exploring Operation: 73+124=197, Resulting Numbers: [197]
197,24 unequal: No Solution
Exploring Operation: 73*124=9052, Resulting Numbers: [9052]
9052,24 unequal: No Solution
Exploring Operation: 124-73=51, Resulting Numbers: [51]
51,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 24:[17, 34], Operations: ['90-44=46', '80-46=34']
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 17*34=578, Resulting Numbers: [578]
578,24 unequal: No Solution
Exploring Operation: 17+34=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[17, 54], Operations: ['80-44=36', '90-36=54']
Exploring Operation: 17+54=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 17*54=918, Resulting Numbers: [918]
918,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[46, 63], Operations: ['90-44=46', '80-17=63']
Exploring Operation: 46*63=2898, Resulting Numbers: [2898]
2898,24 unequal: No Solution
Exploring Operation: 63-46=17, Resulting Numbers: [17]
17,24 unequal: No Solution
Exploring Operation: 46+63=109, Resulting Numbers: [109]
109,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[80, 29], Operations: ['90-44=46', '46-17=29']
Exploring Operation: 80*29=2320, Resulting Numbers: [2320]
2320,24 unequal: No Solution
Exploring Operation: 80+29=109, Resulting Numbers: [109]
109,24 unequal: No Solution
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[36, 73], Operations: ['80-44=36', '90-17=73']
Exploring Operation: 36+73=109, Resulting Numbers: [109]
109,24 unequal: No Solution
Exploring Operation: 36*73=2628, Resulting Numbers: [2628]
2628,24 unequal: No Solution
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[90, 19], Operations: ['80-44=36', '36-17=19']
Exploring Operation: 90*19=1710, Resulting Numbers: [1710]
1710,24 unequal: No Solution
Exploring Operation: 90+19=109, Resulting Numbers: [109]
109,24 unequal: No Solution
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[36, 107], Operations: ['80-44=36', '90+17=107']
Exploring Operation: 36+107=143, Resulting Numbers: [143]
143,24 unequal: No Solution
Exploring Operation: 36*107=3852, Resulting Numbers: [3852]
3852,24 unequal: No Solution
Exploring Operation: 107-36=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[46, 97], Operations: ['90-44=46', '17+80=97']
Exploring Operation: 97-46=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 46*97=4462, Resulting Numbers: [4462]
4462,24 unequal: No Solution
Exploring Operation: 46+97=143, Resulting Numbers: [143]
143,24 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
41,
14,
83,
79
] | 31 | [
"41-14=27",
"83-79=4",
"27+4=31"
] | Current State: 31:[41, 14, 83, 79], Operations: []
Exploring Operation: 41-14=27, Resulting Numbers: [83, 79, 27]
Generated Node #2: [83, 79, 27] from Operation: 41-14=27
Current State: 31:[83, 79, 27], Operations: ['41-14=27']
Exploring Operation: 83-79=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 83-79=4
Current State: 31:[27, 4], Operations: ['41-14=27', '83-79=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[41, 14, 83, 79], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [14, 79, 42]
Generated Node #0,0: 31:[14, 79, 42] Operation: 83-41=42
Exploring Operation: 79-41=38, Resulting Numbers: [14, 83, 38]
Generated Node #0,1: 31:[14, 83, 38] Operation: 79-41=38
Exploring Operation: 83-79=4, Resulting Numbers: [41, 14, 4]
Generated Node #0,2: 31:[41, 14, 4] Operation: 83-79=4
Moving to Node #0,2
Current State: 31:[41, 14, 4], Operations: ['83-79=4']
Exploring Operation: 14+4=18, Resulting Numbers: [41, 18]
Generated Node #0,2,0: 31:[41, 18] Operation: 14+4=18
Exploring Operation: 41-14=27, Resulting Numbers: [4, 27]
Generated Node #0,2,1: 31:[4, 27] Operation: 41-14=27
Exploring Operation: 41-4=37, Resulting Numbers: [14, 37]
Generated Node #0,2,2: 31:[14, 37] Operation: 41-4=37
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[41, 18], Operations: ['83-79=4', '14+4=18']
Exploring Operation: 41-18=23, Resulting Numbers: [23]
23,31 unequal: No Solution
Exploring Operation: 41*18=738, Resulting Numbers: [738]
738,31 unequal: No Solution
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[14, 37], Operations: ['83-79=4', '41-4=37']
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,31 unequal: No Solution
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[4, 27], Operations: ['83-79=4', '41-14=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[41, 14, 83, 79], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [41, 14, 4]
Generated Node #0,2: 31:[41, 14, 4] Operation: 83-79=4
Moving to Node #0,2
Current State: 31:[41, 14, 4], Operations: ['83-79=4']
Exploring Operation: 41-14=27, Resulting Numbers: [4, 27]
Generated Node #0,2,1: 31:[4, 27] Operation: 41-14=27
Moving to Node #0,2,1
Current State: 31:[4, 27], Operations: ['83-79=4', '41-14=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
51,
99,
35,
24
] | 70 | [
"99-51=48",
"35*48=1680",
"1680/24=70"
] | Current State: 70:[51, 99, 35, 24], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [35, 24, 48]
Generated Node #2: [35, 24, 48] from Operation: 99-51=48
Current State: 70:[35, 24, 48], Operations: ['99-51=48']
Exploring Operation: 35*48=1680, Resulting Numbers: [24, 1680]
Generated Node #3: [24, 1680] from Operation: 35*48=1680
Current State: 70:[24, 1680], Operations: ['99-51=48', '35*48=1680']
Exploring Operation: 1680/24=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[51, 99, 35, 24], Operations: []
Exploring Operation: 99-35=64, Resulting Numbers: [51, 24, 64]
Generated Node #0,0: 70:[51, 24, 64] Operation: 99-35=64
Exploring Operation: 99-51=48, Resulting Numbers: [35, 24, 48]
Generated Node #0,1: 70:[35, 24, 48] Operation: 99-51=48
Exploring Operation: 51+24=75, Resulting Numbers: [99, 35, 75]
Generated Node #0,2: 70:[99, 35, 75] Operation: 51+24=75
Exploring Operation: 99-24=75, Resulting Numbers: [51, 35, 75]
Generated Node #0,3: 70:[51, 35, 75] Operation: 99-24=75
Moving to Node #0,3
Current State: 70:[51, 35, 75], Operations: ['99-24=75']
Exploring Operation: 51-35=16, Resulting Numbers: [75, 16]
Generated Node #0,3,0: 70:[75, 16] Operation: 51-35=16
Exploring Operation: 51+35=86, Resulting Numbers: [75, 86]
Generated Node #0,3,1: 70:[75, 86] Operation: 51+35=86
Exploring Operation: 75-35=40, Resulting Numbers: [51, 40]
Generated Node #0,3,2: 70:[51, 40] Operation: 75-35=40
Exploring Operation: 75-51=24, Resulting Numbers: [35, 24]
Generated Node #0,3,3: 70:[35, 24] Operation: 75-51=24
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 70:[75, 16], Operations: ['99-24=75', '51-35=16']
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,70 unequal: No Solution
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,70 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 70:[35, 24], Operations: ['99-24=75', '75-51=24']
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 35*24=840, Resulting Numbers: [840]
840,70 unequal: No Solution
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 70:[75, 86], Operations: ['99-24=75', '51+35=86']
Exploring Operation: 86-75=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 75*86=6450, Resulting Numbers: [6450]
6450,70 unequal: No Solution
Exploring Operation: 75+86=161, Resulting Numbers: [161]
161,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 70:[51, 40], Operations: ['99-24=75', '75-35=40']
Exploring Operation: 51*40=2040, Resulting Numbers: [2040]
2040,70 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,70 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: 70:[35, 24, 48], Operations: ['99-51=48']
Exploring Operation: 48-24=24, Resulting Numbers: [35, 24]
Generated Node #0,1,0: 70:[35, 24] Operation: 48-24=24
Exploring Operation: 48-35=13, Resulting Numbers: [24, 13]
Generated Node #0,1,1: 70:[24, 13] Operation: 48-35=13
Exploring Operation: 24+48=72, Resulting Numbers: [35, 72]
Generated Node #0,1,2: 70:[35, 72] Operation: 24+48=72
Exploring Operation: 48/24=2, Resulting Numbers: [35, 2]
Generated Node #0,1,3: 70:[35, 2] Operation: 48/24=2
Moving to Node #0,0
Current State: 70:[51, 24, 64], Operations: ['99-35=64']
Exploring Operation: 64-51=13, Resulting Numbers: [24, 13]
Generated Node #0,0,0: 70:[24, 13] Operation: 64-51=13
Exploring Operation: 51+24=75, Resulting Numbers: [64, 75]
Generated Node #0,0,1: 70:[64, 75] Operation: 51+24=75
Exploring Operation: 51-24=27, Resulting Numbers: [64, 27]
Generated Node #0,0,2: 70:[64, 27] Operation: 51-24=27
Exploring Operation: 64-24=40, Resulting Numbers: [51, 40]
Generated Node #0,0,3: 70:[51, 40] Operation: 64-24=40
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[24, 13], Operations: ['99-35=64', '64-51=13']
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,70 unequal: No Solution
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[64, 75], Operations: ['99-35=64', '51+24=75']
Exploring Operation: 64*75=4800, Resulting Numbers: [4800]
4800,70 unequal: No Solution
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 64+75=139, Resulting Numbers: [139]
139,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[64, 27], Operations: ['99-35=64', '51-24=27']
Exploring Operation: 64*27=1728, Resulting Numbers: [1728]
1728,70 unequal: No Solution
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,70 unequal: No Solution
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 70:[51, 40], Operations: ['99-35=64', '64-24=40']
Exploring Operation: 51*40=2040, Resulting Numbers: [2040]
2040,70 unequal: No Solution
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,70 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,70 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: 70:[99, 35, 75], Operations: ['51+24=75']
Exploring Operation: 75-35=40, Resulting Numbers: [99, 40]
Generated Node #0,2,0: 70:[99, 40] Operation: 75-35=40
Exploring Operation: 99-75=24, Resulting Numbers: [35, 24]
Generated Node #0,2,1: 70:[35, 24] Operation: 99-75=24
Exploring Operation: 99+35=134, Resulting Numbers: [75, 134]
Generated Node #0,2,2: 70:[75, 134] Operation: 99+35=134
Exploring Operation: 99-35=64, Resulting Numbers: [75, 64]
Generated Node #0,2,3: 70:[75, 64] Operation: 99-35=64
Moving to Node #0,1,3
Current State: 70:[35, 2], Operations: ['99-51=48', '48/24=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[51, 99, 35, 24], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [35, 24, 48]
Generated Node #0,1: 70:[35, 24, 48] Operation: 99-51=48
Moving to Node #0,1
Current State: 70:[35, 24, 48], Operations: ['99-51=48']
Exploring Operation: 48/24=2, Resulting Numbers: [35, 2]
Generated Node #0,1,3: 70:[35, 2] Operation: 48/24=2
Moving to Node #0,1,3
Current State: 70:[35, 2], Operations: ['99-51=48', '48/24=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.956597 | hs_4 | sum_heuristic |
[
29,
8,
53,
18
] | 21 | [
"53-29=24",
"24/8=3",
"18+3=21"
] | Current State: 21:[29, 8, 53, 18], Operations: []
Exploring Operation: 53-29=24, Resulting Numbers: [8, 18, 24]
Generated Node #2: [8, 18, 24] from Operation: 53-29=24
Current State: 21:[8, 18, 24], Operations: ['53-29=24']
Exploring Operation: 24/8=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 24/8=3
Current State: 21:[18, 3], Operations: ['53-29=24', '24/8=3']
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[29, 8, 53, 18], Operations: []
Exploring Operation: 53-29=24, Resulting Numbers: [8, 18, 24]
Generated Node #0,0: 21:[8, 18, 24] Operation: 53-29=24
Exploring Operation: 53-18=35, Resulting Numbers: [29, 8, 35]
Generated Node #0,1: 21:[29, 8, 35] Operation: 53-18=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[8, 18, 24], Operations: ['53-29=24']
Exploring Operation: 24-18=6, Resulting Numbers: [8, 6]
Generated Node #0,0,0: 21:[8, 6] Operation: 24-18=6
Exploring Operation: 24/8=3, Resulting Numbers: [18, 3]
Generated Node #0,0,1: 21:[18, 3] Operation: 24/8=3
Moving to Node #0,0,0
Current State: 21:[8, 6], Operations: ['53-29=24', '24-18=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[18, 3], Operations: ['53-29=24', '24/8=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[29, 8, 53, 18], Operations: []
Exploring Operation: 53-29=24, Resulting Numbers: [8, 18, 24]
Generated Node #0,0: 21:[8, 18, 24] Operation: 53-29=24
Moving to Node #0,0
Current State: 21:[8, 18, 24], Operations: ['53-29=24']
Exploring Operation: 24/8=3, Resulting Numbers: [18, 3]
Generated Node #0,0,1: 21:[18, 3] Operation: 24/8=3
Moving to Node #0,0,1
Current State: 21:[18, 3], Operations: ['53-29=24', '24/8=3']
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
83,
51,
72,
11
] | 70 | [
"83-72=11",
"11*11=121",
"121-51=70"
] | Current State: 70:[83, 51, 72, 11], Operations: []
Exploring Operation: 83-72=11, Resulting Numbers: [51, 11, 11]
Generated Node #2: [51, 11, 11] from Operation: 83-72=11
Current State: 70:[51, 11, 11], Operations: ['83-72=11']
Exploring Operation: 11*11=121, Resulting Numbers: [51, 121]
Generated Node #3: [51, 121] from Operation: 11*11=121
Current State: 70:[51, 121], Operations: ['83-72=11', '11*11=121']
Exploring Operation: 121-51=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[83, 51, 72, 11], Operations: []
Exploring Operation: 83-72=11, Resulting Numbers: [51, 11, 11]
Generated Node #0,0: 70:[51, 11, 11] Operation: 83-72=11
Exploring Operation: 83-51=32, Resulting Numbers: [72, 11, 32]
Generated Node #0,1: 70:[72, 11, 32] Operation: 83-51=32
Exploring Operation: 83-11=72, Resulting Numbers: [51, 72, 72]
Generated Node #0,2: 70:[51, 72, 72] Operation: 83-11=72
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[72, 11, 32], Operations: ['83-51=32']
Exploring Operation: 72-32=40, Resulting Numbers: [11, 40]
Generated Node #0,1,0: 70:[11, 40] Operation: 72-32=40
Exploring Operation: 11+32=43, Resulting Numbers: [72, 43]
Generated Node #0,1,1: 70:[72, 43] Operation: 11+32=43
Exploring Operation: 32-11=21, Resulting Numbers: [72, 21]
Generated Node #0,1,2: 70:[72, 21] Operation: 32-11=21
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 70:[11, 40], Operations: ['83-51=32', '72-32=40']
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,70 unequal: No Solution
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,70 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 70:[72, 21], Operations: ['83-51=32', '32-11=21']
Exploring Operation: 72*21=1512, Resulting Numbers: [1512]
1512,70 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,70 unequal: No Solution
Exploring Operation: 72+21=93, Resulting Numbers: [93]
93,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 70:[72, 43], Operations: ['83-51=32', '11+32=43']
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,70 unequal: No Solution
Exploring Operation: 72*43=3096, Resulting Numbers: [3096]
3096,70 unequal: No Solution
Exploring Operation: 72+43=115, Resulting Numbers: [115]
115,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[51, 11, 11], Operations: ['83-72=11']
Exploring Operation: 51-11=40, Resulting Numbers: [11, 40]
Generated Node #0,0,0: 70:[11, 40] Operation: 51-11=40
Exploring Operation: 51+11=62, Resulting Numbers: [11, 62]
Generated Node #0,0,1: 70:[11, 62] Operation: 51+11=62
Exploring Operation: 51-11=40, Resulting Numbers: [11, 40]
Generated Node #0,0,2: 70:[11, 40] Operation: 51-11=40
Moving to Node #0,0,0
Current State: 70:[11, 40], Operations: ['83-72=11', '51-11=40']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,70 unequal: No Solution
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,70 unequal: No Solution
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,70 unequal: No Solution
Moving to Node #0,0,2
Current State: 70:[11, 40], Operations: ['83-72=11', '51-11=40']
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,70 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,70 unequal: No Solution
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[11, 62], Operations: ['83-72=11', '51+11=62']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,70 unequal: No Solution
Exploring Operation: 11*62=682, Resulting Numbers: [682]
682,70 unequal: No Solution
Exploring Operation: 11+62=73, Resulting Numbers: [73]
73,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[51, 72, 72], Operations: ['83-11=72']
Exploring Operation: 72/72=1, Resulting Numbers: [51, 1]
Generated Node #0,2,0: 70:[51, 1] Operation: 72/72=1
Exploring Operation: 72-51=21, Resulting Numbers: [72, 21]
Generated Node #0,2,1: 70:[72, 21] Operation: 72-51=21
Exploring Operation: 72-51=21, Resulting Numbers: [72, 21]
Generated Node #0,2,2: 70:[72, 21] Operation: 72-51=21
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 70:[72, 21], Operations: ['83-11=72', '72-51=21']
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,70 unequal: No Solution
Exploring Operation: 72*21=1512, Resulting Numbers: [1512]
1512,70 unequal: No Solution
Exploring Operation: 72+21=93, Resulting Numbers: [93]
93,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 70:[72, 21], Operations: ['83-11=72', '72-51=21']
Exploring Operation: 72*21=1512, Resulting Numbers: [1512]
1512,70 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,70 unequal: No Solution
Exploring Operation: 72+21=93, Resulting Numbers: [93]
93,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 70:[51, 1], Operations: ['83-11=72', '72/72=1']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,70 unequal: No Solution
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,70 unequal: No Solution
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
7,
51,
21,
58
] | 10 | [
"21/7=3",
"58-51=7",
"3+7=10"
] | Current State: 10:[7, 51, 21, 58], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [51, 58, 3]
Generated Node #2: [51, 58, 3] from Operation: 21/7=3
Current State: 10:[51, 58, 3], Operations: ['21/7=3']
Exploring Operation: 58-51=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 58-51=7
Current State: 10:[3, 7], Operations: ['21/7=3', '58-51=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[7, 51, 21, 58], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [7, 21, 7]
Generated Node #0,0: 10:[7, 21, 7] Operation: 58-51=7
Moving to Node #0,0
Current State: 10:[7, 21, 7], Operations: ['58-51=7']
Exploring Operation: 21/7=3, Resulting Numbers: [7, 3]
Generated Node #0,0,0: 10:[7, 3] Operation: 21/7=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[7, 3], Operations: ['58-51=7', '21/7=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[7, 51, 21, 58], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [7, 21, 7]
Generated Node #0,0: 10:[7, 21, 7] Operation: 58-51=7
Moving to Node #0,0
Current State: 10:[7, 21, 7], Operations: ['58-51=7']
Exploring Operation: 21/7=3, Resulting Numbers: [7, 3]
Generated Node #0,0,0: 10:[7, 3] Operation: 21/7=3
Moving to Node #0,0,0
Current State: 10:[7, 3], Operations: ['58-51=7', '21/7=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
13,
79,
1,
91
] | 85 | [
"91/13=7",
"79-1=78",
"7+78=85"
] | Current State: 85:[13, 79, 1, 91], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [79, 1, 7]
Generated Node #2: [79, 1, 7] from Operation: 91/13=7
Current State: 85:[79, 1, 7], Operations: ['91/13=7']
Exploring Operation: 79-1=78, Resulting Numbers: [7, 78]
Generated Node #3: [7, 78] from Operation: 79-1=78
Current State: 85:[7, 78], Operations: ['91/13=7', '79-1=78']
Exploring Operation: 7+78=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[13, 79, 1, 91], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [79, 1, 7]
Generated Node #0,0: 85:[79, 1, 7] Operation: 91/13=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[79, 1, 7], Operations: ['91/13=7']
Exploring Operation: 79+7=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 85:[1, 86] Operation: 79+7=86
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[1, 86], Operations: ['91/13=7', '79+7=86']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[13, 79, 1, 91], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [79, 1, 7]
Generated Node #0,0: 85:[79, 1, 7] Operation: 91/13=7
Moving to Node #0,0
Current State: 85:[79, 1, 7], Operations: ['91/13=7']
Exploring Operation: 79+7=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 85:[1, 86] Operation: 79+7=86
Moving to Node #0,0,0
Current State: 85:[1, 86], Operations: ['91/13=7', '79+7=86']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
38,
6,
68,
2
] | 54 | [
"68-38=30",
"2*30=60",
"60-6=54"
] | Current State: 54:[38, 6, 68, 2], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [6, 2, 30]
Generated Node #2: [6, 2, 30] from Operation: 68-38=30
Current State: 54:[6, 2, 30], Operations: ['68-38=30']
Exploring Operation: 2*30=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 2*30=60
Current State: 54:[6, 60], Operations: ['68-38=30', '2*30=60']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[38, 6, 68, 2], Operations: []
Exploring Operation: 38-6=32, Resulting Numbers: [68, 2, 32]
Generated Node #0,0: 54:[68, 2, 32] Operation: 38-6=32
Exploring Operation: 68-38=30, Resulting Numbers: [6, 2, 30]
Generated Node #0,1: 54:[6, 2, 30] Operation: 68-38=30
Exploring Operation: 68/2=34, Resulting Numbers: [38, 6, 34]
Generated Node #0,2: 54:[38, 6, 34] Operation: 68/2=34
Exploring Operation: 38/2=19, Resulting Numbers: [6, 68, 19]
Generated Node #0,3: 54:[6, 68, 19] Operation: 38/2=19
Exploring Operation: 68-6=62, Resulting Numbers: [38, 2, 62]
Generated Node #0,4: 54:[38, 2, 62] Operation: 68-6=62
Moving to Node #0,1
Current State: 54:[6, 2, 30], Operations: ['68-38=30']
Exploring Operation: 30/2=15, Resulting Numbers: [6, 15]
Generated Node #0,1,0: 54:[6, 15] Operation: 30/2=15
Exploring Operation: 30/6=5, Resulting Numbers: [2, 5]
Generated Node #0,1,1: 54:[2, 5] Operation: 30/6=5
Exploring Operation: 30-6=24, Resulting Numbers: [2, 24]
Generated Node #0,1,2: 54:[2, 24] Operation: 30-6=24
Exploring Operation: 6/2=3, Resulting Numbers: [30, 3]
Generated Node #0,1,3: 54:[30, 3] Operation: 6/2=3
Exploring Operation: 30-2=28, Resulting Numbers: [6, 28]
Generated Node #0,1,4: 54:[6, 28] Operation: 30-2=28
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[2, 5], Operations: ['68-38=30', '30/6=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,54 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 #0,1,4
Current State: 54:[6, 28], Operations: ['68-38=30', '30-2=28']
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,54 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 #0,1,0
Current State: 54:[6, 15], Operations: ['68-38=30', '30/2=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,54 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,54 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,54 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:[2, 24], Operations: ['68-38=30', '30-6=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,54 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,54 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 #0,1,3
Current State: 54:[30, 3], Operations: ['68-38=30', '6/2=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,54 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,54 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,54 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: 54:[6, 68, 19], Operations: ['38/2=19']
Exploring Operation: 68-6=62, Resulting Numbers: [19, 62]
Generated Node #0,3,0: 54:[19, 62] Operation: 68-6=62
Exploring Operation: 6+68=74, Resulting Numbers: [19, 74]
Generated Node #0,3,1: 54:[19, 74] Operation: 6+68=74
Exploring Operation: 19-6=13, Resulting Numbers: [68, 13]
Generated Node #0,3,2: 54:[68, 13] Operation: 19-6=13
Exploring Operation: 68-19=49, Resulting Numbers: [6, 49]
Generated Node #0,3,3: 54:[6, 49] Operation: 68-19=49
Exploring Operation: 6+19=25, Resulting Numbers: [68, 25]
Generated Node #0,3,4: 54:[68, 25] Operation: 6+19=25
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 54:[6, 49], Operations: ['38/2=19', '68-19=49']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,54 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,54 unequal: No Solution
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,54 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 #0,3,0
Current State: 54:[19, 62], Operations: ['38/2=19', '68-6=62']
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,54 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,54 unequal: No Solution
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,54 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 #0,3,4
Current State: 54:[68, 25], Operations: ['38/2=19', '6+19=25']
Exploring Operation: 68*25=1700, Resulting Numbers: [1700]
1700,54 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,54 unequal: No Solution
Exploring Operation: 68+25=93, Resulting Numbers: [93]
93,54 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 #0,3,2
Current State: 54:[68, 13], Operations: ['38/2=19', '19-6=13']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,54 unequal: No Solution
Exploring Operation: 68+13=81, Resulting Numbers: [81]
81,54 unequal: No Solution
Exploring Operation: 68*13=884, Resulting Numbers: [884]
884,54 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 #0,3,1
Current State: 54:[19, 74], Operations: ['38/2=19', '6+68=74']
Exploring Operation: 19+74=93, Resulting Numbers: [93]
93,54 unequal: No Solution
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,54 unequal: No Solution
Exploring Operation: 19*74=1406, Resulting Numbers: [1406]
1406,54 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:[38, 6, 34], Operations: ['68/2=34']
Exploring Operation: 34-6=28, Resulting Numbers: [38, 28]
Generated Node #0,2,0: 54:[38, 28] Operation: 34-6=28
Exploring Operation: 38+6=44, Resulting Numbers: [34, 44]
Generated Node #0,2,1: 54:[34, 44] Operation: 38+6=44
Exploring Operation: 38+34=72, Resulting Numbers: [6, 72]
Generated Node #0,2,2: 54:[6, 72] Operation: 38+34=72
Exploring Operation: 38-6=32, Resulting Numbers: [34, 32]
Generated Node #0,2,3: 54:[34, 32] Operation: 38-6=32
Exploring Operation: 38-34=4, Resulting Numbers: [6, 4]
Generated Node #0,2,4: 54:[6, 4] Operation: 38-34=4
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 54:[6, 4], Operations: ['68/2=34', '38-34=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,54 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 #0,2,0
Current State: 54:[38, 28], Operations: ['68/2=34', '34-6=28']
Exploring Operation: 38*28=1064, Resulting Numbers: [1064]
1064,54 unequal: No Solution
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 38+28=66, Resulting Numbers: [66]
66,54 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 #0,2,3
Current State: 54:[34, 32], Operations: ['68/2=34', '38-6=32']
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,54 unequal: No Solution
Exploring Operation: 34*32=1088, Resulting Numbers: [1088]
1088,54 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 #0,2,1
Current State: 54:[34, 44], Operations: ['68/2=34', '38+6=44']
Exploring Operation: 44-34=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 34*44=1496, Resulting Numbers: [1496]
1496,54 unequal: No Solution
Exploring Operation: 34+44=78, Resulting Numbers: [78]
78,54 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 #0,2,2
Current State: 54:[6, 72], Operations: ['68/2=34', '38+34=72']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,54 unequal: No Solution
Exploring Operation: 6*72=432, Resulting Numbers: [432]
432,54 unequal: No Solution
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,54 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: 54:[68, 2, 32], Operations: ['38-6=32']
Exploring Operation: 68/2=34, Resulting Numbers: [32, 34]
Generated Node #0,0,0: 54:[32, 34] Operation: 68/2=34
Exploring Operation: 68-2=66, Resulting Numbers: [32, 66]
Generated Node #0,0,1: 54:[32, 66] Operation: 68-2=66
Exploring Operation: 32/2=16, Resulting Numbers: [68, 16]
Generated Node #0,0,2: 54:[68, 16] Operation: 32/2=16
Exploring Operation: 32-2=30, Resulting Numbers: [68, 30]
Generated Node #0,0,3: 54:[68, 30] Operation: 32-2=30
Exploring Operation: 68-32=36, Resulting Numbers: [2, 36]
Generated Node #0,0,4: 54:[2, 36] Operation: 68-32=36
Moving to Node #0,4
Current State: 54:[38, 2, 62], Operations: ['68-6=62']
Exploring Operation: 62-38=24, Resulting Numbers: [2, 24]
Generated Node #0,4,0: 54:[2, 24] Operation: 62-38=24
Exploring Operation: 62-2=60, Resulting Numbers: [38, 60]
Generated Node #0,4,1: 54:[38, 60] Operation: 62-2=60
Exploring Operation: 38-2=36, Resulting Numbers: [62, 36]
Generated Node #0,4,2: 54:[62, 36] Operation: 38-2=36
Exploring Operation: 62/2=31, Resulting Numbers: [38, 31]
Generated Node #0,4,3: 54:[38, 31] Operation: 62/2=31
Exploring Operation: 38/2=19, Resulting Numbers: [62, 19]
Generated Node #0,4,4: 54:[62, 19] Operation: 38/2=19
Moving to Node #0,4,0
Current State: 54:[2, 24], Operations: ['68-6=62', '62-38=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,54 unequal: No Solution
Moving to Node #0,0,4
Current State: 54:[2, 36], Operations: ['38-6=32', '68-32=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,54 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,54 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,54 unequal: No Solution
Moving to Node #0,4,4
Current State: 54:[62, 19], Operations: ['68-6=62', '38/2=19']
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,54 unequal: No Solution
Exploring Operation: 62*19=1178, Resulting Numbers: [1178]
1178,54 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[32, 34], Operations: ['38-6=32', '68/2=34']
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 32+34=66, Resulting Numbers: [66]
66,54 unequal: No Solution
Exploring Operation: 32*34=1088, Resulting Numbers: [1088]
1088,54 unequal: No Solution
Moving to Node #0,4,3
Current State: 54:[38, 31], Operations: ['68-6=62', '62/2=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
Moving to Node #0,0,2
Current State: 54:[68, 16], Operations: ['38-6=32', '32/2=16']
Exploring Operation: 68*16=1088, Resulting Numbers: [1088]
1088,54 unequal: No Solution
Exploring Operation: 68+16=84, Resulting Numbers: [84]
84,54 unequal: No Solution
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,54 unequal: No Solution
Moving to Node #0,4,1
Current State: 54:[38, 60], Operations: ['68-6=62', '62-2=60']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Exploring Operation: 38+60=98, Resulting Numbers: [98]
98,54 unequal: No Solution
Exploring Operation: 38*60=2280, Resulting Numbers: [2280]
2280,54 unequal: No Solution
Moving to Node #0,4,2
Current State: 54:[62, 36], Operations: ['68-6=62', '38-2=36']
Exploring Operation: 62+36=98, Resulting Numbers: [98]
98,54 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,54 unequal: No Solution
Exploring Operation: 62*36=2232, Resulting Numbers: [2232]
2232,54 unequal: No Solution
Moving to Node #0,0,3
Current State: 54:[68, 30], Operations: ['38-6=32', '32-2=30']
Exploring Operation: 68*30=2040, Resulting Numbers: [2040]
2040,54 unequal: No Solution
Exploring Operation: 68+30=98, Resulting Numbers: [98]
98,54 unequal: No Solution
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[32, 66], Operations: ['38-6=32', '68-2=66']
Exploring Operation: 32*66=2112, Resulting Numbers: [2112]
2112,54 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 32+66=98, Resulting Numbers: [98]
98,54 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
44,
65,
6,
95
] | 26 | [
"44-6=38",
"65*38=2470",
"2470/95=26"
] | Current State: 26:[44, 65, 6, 95], Operations: []
Exploring Operation: 44-6=38, Resulting Numbers: [65, 95, 38]
Generated Node #2: [65, 95, 38] from Operation: 44-6=38
Current State: 26:[65, 95, 38], Operations: ['44-6=38']
Exploring Operation: 65*38=2470, Resulting Numbers: [95, 2470]
Generated Node #3: [95, 2470] from Operation: 65*38=2470
Current State: 26:[95, 2470], Operations: ['44-6=38', '65*38=2470']
Exploring Operation: 2470/95=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[44, 65, 6, 95], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [44, 6, 30]
Generated Node #0,0: 26:[44, 6, 30] Operation: 95-65=30
Exploring Operation: 95-44=51, Resulting Numbers: [65, 6, 51]
Generated Node #0,1: 26:[65, 6, 51] Operation: 95-44=51
Moving to Node #0,0
Current State: 26:[44, 6, 30], Operations: ['95-65=30']
Exploring Operation: 44-30=14, Resulting Numbers: [6, 14]
Generated Node #0,0,0: 26:[6, 14] Operation: 44-30=14
Exploring Operation: 44-6=38, Resulting Numbers: [30, 38]
Generated Node #0,0,1: 26:[30, 38] Operation: 44-6=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[6, 14], Operations: ['95-65=30', '44-30=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,26 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[30, 38], Operations: ['95-65=30', '44-6=38']
Exploring Operation: 30+38=68, Resulting Numbers: [68]
68,26 unequal: No Solution
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,26 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:[65, 6, 51], Operations: ['95-44=51']
Exploring Operation: 65-6=59, Resulting Numbers: [51, 59]
Generated Node #0,1,0: 26:[51, 59] Operation: 65-6=59
Exploring Operation: 65-51=14, Resulting Numbers: [6, 14]
Generated Node #0,1,1: 26:[6, 14] Operation: 65-51=14
Moving to Node #0,1,1
Current State: 26:[6, 14], Operations: ['95-44=51', '65-51=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,26 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[51, 59], Operations: ['95-44=51', '65-6=59']
Exploring Operation: 51+59=110, Resulting Numbers: [110]
110,26 unequal: No Solution
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,26 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
65,
50,
73,
79
] | 55 | [
"50*79=3950",
"65+3950=4015",
"4015/73=55"
] | Current State: 55:[65, 50, 73, 79], Operations: []
Exploring Operation: 50*79=3950, Resulting Numbers: [65, 73, 3950]
Generated Node #2: [65, 73, 3950] from Operation: 50*79=3950
Current State: 55:[65, 73, 3950], Operations: ['50*79=3950']
Exploring Operation: 65+3950=4015, Resulting Numbers: [73, 4015]
Generated Node #3: [73, 4015] from Operation: 65+3950=4015
Current State: 55:[73, 4015], Operations: ['50*79=3950', '65+3950=4015']
Exploring Operation: 4015/73=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[65, 50, 73, 79], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [65, 50, 6]
Generated Node #0,0: 55:[65, 50, 6] Operation: 79-73=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[65, 50, 6], Operations: ['79-73=6']
Exploring Operation: 65-50=15, Resulting Numbers: [6, 15]
Generated Node #0,0,0: 55:[6, 15] Operation: 65-50=15
Moving to Node #0,0,0
Current State: 55:[6, 15], Operations: ['79-73=6', '65-50=15']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
12,
69,
1,
6
] | 15 | [
"1+6=7",
"12*7=84",
"84-69=15"
] | Current State: 15:[12, 69, 1, 6], Operations: []
Exploring Operation: 1+6=7, Resulting Numbers: [12, 69, 7]
Generated Node #2: [12, 69, 7] from Operation: 1+6=7
Current State: 15:[12, 69, 7], Operations: ['1+6=7']
Exploring Operation: 12*7=84, Resulting Numbers: [69, 84]
Generated Node #3: [69, 84] from Operation: 12*7=84
Current State: 15:[69, 84], Operations: ['1+6=7', '12*7=84']
Exploring Operation: 84-69=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[12, 69, 1, 6], Operations: []
Exploring Operation: 69-6=63, Resulting Numbers: [12, 1, 63]
Generated Node #0,0: 15:[12, 1, 63] Operation: 69-6=63
Exploring Operation: 12/6=2, Resulting Numbers: [69, 1, 2]
Generated Node #0,1: 15:[69, 1, 2] Operation: 12/6=2
Exploring Operation: 12-6=6, Resulting Numbers: [69, 1, 6]
Generated Node #0,2: 15:[69, 1, 6] Operation: 12-6=6
Exploring Operation: 12+1=13, Resulting Numbers: [69, 6, 13]
Generated Node #0,3: 15:[69, 6, 13] Operation: 12+1=13
Exploring Operation: 69-12=57, Resulting Numbers: [1, 6, 57]
Generated Node #0,4: 15:[1, 6, 57] Operation: 69-12=57
Moving to Node #0,4
Current State: 15:[1, 6, 57], Operations: ['69-12=57']
Exploring Operation: 1*6=6, Resulting Numbers: [57, 6]
Generated Node #0,4,0: 15:[57, 6] Operation: 1*6=6
Exploring Operation: 57-6=51, Resulting Numbers: [1, 51]
Generated Node #0,4,1: 15:[1, 51] Operation: 57-6=51
Exploring Operation: 57-1=56, Resulting Numbers: [6, 56]
Generated Node #0,4,2: 15:[6, 56] Operation: 57-1=56
Exploring Operation: 6-1=5, Resulting Numbers: [57, 5]
Generated Node #0,4,3: 15:[57, 5] Operation: 6-1=5
Exploring Operation: 6/1=6, Resulting Numbers: [57, 6]
Generated Node #0,4,4: 15:[57, 6] Operation: 6/1=6
Moving to Node #0,0
Current State: 15:[12, 1, 63], Operations: ['69-6=63']
Exploring Operation: 12*1=12, Resulting Numbers: [63, 12]
Generated Node #0,0,0: 15:[63, 12] Operation: 12*1=12
Exploring Operation: 12+1=13, Resulting Numbers: [63, 13]
Generated Node #0,0,1: 15:[63, 13] Operation: 12+1=13
Exploring Operation: 63-12=51, Resulting Numbers: [1, 51]
Generated Node #0,0,2: 15:[1, 51] Operation: 63-12=51
Exploring Operation: 12/1=12, Resulting Numbers: [63, 12]
Generated Node #0,0,3: 15:[63, 12] Operation: 12/1=12
Exploring Operation: 63-1=62, Resulting Numbers: [12, 62]
Generated Node #0,0,4: 15:[12, 62] Operation: 63-1=62
Moving to Node #0,1
Current State: 15:[69, 1, 2], Operations: ['12/6=2']
Exploring Operation: 1+2=3, Resulting Numbers: [69, 3]
Generated Node #0,1,0: 15:[69, 3] Operation: 1+2=3
Exploring Operation: 69-1=68, Resulting Numbers: [2, 68]
Generated Node #0,1,1: 15:[2, 68] Operation: 69-1=68
Exploring Operation: 69-2=67, Resulting Numbers: [1, 67]
Generated Node #0,1,2: 15:[1, 67] Operation: 69-2=67
Exploring Operation: 69/1=69, Resulting Numbers: [2, 69]
Generated Node #0,1,3: 15:[2, 69] Operation: 69/1=69
Exploring Operation: 69*1=69, Resulting Numbers: [2, 69]
Generated Node #0,1,4: 15:[2, 69] Operation: 69*1=69
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[69, 3], Operations: ['12/6=2', '1+2=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,15 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,15 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[2, 68], Operations: ['12/6=2', '69-1=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Exploring Operation: 2*68=136, Resulting Numbers: [136]
136,15 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[1, 67], Operations: ['12/6=2', '69-2=67']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 1+67=68, Resulting Numbers: [68]
68,15 unequal: No Solution
Exploring Operation: 1*67=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 67/1=67, Resulting Numbers: [67]
67,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[2, 69], Operations: ['12/6=2', '69/1=69']
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,15 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 15:[2, 69], Operations: ['12/6=2', '69*1=69']
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,15 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,15 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: 15:[69, 1, 6], Operations: ['12-6=6']
Exploring Operation: 69-1=68, Resulting Numbers: [6, 68]
Generated Node #0,2,0: 15:[6, 68] Operation: 69-1=68
Exploring Operation: 69-6=63, Resulting Numbers: [1, 63]
Generated Node #0,2,1: 15:[1, 63] Operation: 69-6=63
Exploring Operation: 6-1=5, Resulting Numbers: [69, 5]
Generated Node #0,2,2: 15:[69, 5] Operation: 6-1=5
Exploring Operation: 69/1=69, Resulting Numbers: [6, 69]
Generated Node #0,2,3: 15:[6, 69] Operation: 69/1=69
Exploring Operation: 69*1=69, Resulting Numbers: [6, 69]
Generated Node #0,2,4: 15:[6, 69] Operation: 69*1=69
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[1, 63], Operations: ['12-6=6', '69-6=63']
Exploring Operation: 1*63=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[6, 68], Operations: ['12-6=6', '69-1=68']
Exploring Operation: 6*68=408, Resulting Numbers: [408]
408,15 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[69, 5], Operations: ['12-6=6', '6-1=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,15 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 15:[6, 69], Operations: ['12-6=6', '69/1=69']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 6+69=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 6*69=414, Resulting Numbers: [414]
414,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 15:[6, 69], Operations: ['12-6=6', '69*1=69']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 6*69=414, Resulting Numbers: [414]
414,15 unequal: No Solution
Exploring Operation: 6+69=75, Resulting Numbers: [75]
75,15 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: 15:[69, 6, 13], Operations: ['12+1=13']
Exploring Operation: 69-6=63, Resulting Numbers: [13, 63]
Generated Node #0,3,0: 15:[13, 63] Operation: 69-6=63
Exploring Operation: 69+6=75, Resulting Numbers: [13, 75]
Generated Node #0,3,1: 15:[13, 75] Operation: 69+6=75
Exploring Operation: 13-6=7, Resulting Numbers: [69, 7]
Generated Node #0,3,2: 15:[69, 7] Operation: 13-6=7
Exploring Operation: 6+13=19, Resulting Numbers: [69, 19]
Generated Node #0,3,3: 15:[69, 19] Operation: 6+13=19
Exploring Operation: 69-13=56, Resulting Numbers: [6, 56]
Generated Node #0,3,4: 15:[6, 56] Operation: 69-13=56
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 15:[6, 56], Operations: ['12+1=13', '69-13=56']
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 15:[13, 63], Operations: ['12+1=13', '69-6=63']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 13*63=819, Resulting Numbers: [819]
819,15 unequal: No Solution
Exploring Operation: 13+63=76, Resulting Numbers: [76]
76,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 15:[69, 7], Operations: ['12+1=13', '13-6=7']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 69*7=483, Resulting Numbers: [483]
483,15 unequal: No Solution
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 15:[69, 19], Operations: ['12+1=13', '6+13=19']
Exploring Operation: 69*19=1311, Resulting Numbers: [1311]
1311,15 unequal: No Solution
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,15 unequal: No Solution
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 15:[13, 75], Operations: ['12+1=13', '69+6=75']
Exploring Operation: 13+75=88, Resulting Numbers: [88]
88,15 unequal: No Solution
Exploring Operation: 13*75=975, Resulting Numbers: [975]
975,15 unequal: No Solution
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,15 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: 15:[1, 51], Operations: ['69-12=57', '57-6=51']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[1, 51], Operations: ['69-6=63', '63-12=51']
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Moving to Node #0,4,3
Current State: 15:[57, 5], Operations: ['69-12=57', '6-1=5']
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,15 unequal: No Solution
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Moving to Node #0,4,2
Current State: 15:[6, 56], Operations: ['69-12=57', '57-1=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,15 unequal: No Solution
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Moving to Node #0,4,4
Current State: 15:[57, 6], Operations: ['69-12=57', '6/1=6']
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,15 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Moving to Node #0,4,0
Current State: 15:[57, 6], Operations: ['69-12=57', '1*6=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[63, 13], Operations: ['69-6=63', '12+1=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,15 unequal: No Solution
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 63*13=819, Resulting Numbers: [819]
819,15 unequal: No Solution
Moving to Node #0,0,4
Current State: 15:[12, 62], Operations: ['69-6=63', '63-1=62']
Exploring Operation: 12+62=74, Resulting Numbers: [74]
74,15 unequal: No Solution
Exploring Operation: 12*62=744, Resulting Numbers: [744]
744,15 unequal: No Solution
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[63, 12], Operations: ['69-6=63', '12*1=12']
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,15 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[63, 12], Operations: ['69-6=63', '12/1=12']
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,15 unequal: No Solution
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,15 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
97,
94,
75,
96
] | 43 | [
"97-94=3",
"96/3=32",
"75-32=43"
] | Current State: 43:[97, 94, 75, 96], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [75, 96, 3]
Generated Node #2: [75, 96, 3] from Operation: 97-94=3
Current State: 43:[75, 96, 3], Operations: ['97-94=3']
Exploring Operation: 96/3=32, Resulting Numbers: [75, 32]
Generated Node #3: [75, 32] from Operation: 96/3=32
Current State: 43:[75, 32], Operations: ['97-94=3', '96/3=32']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[97, 94, 75, 96], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [75, 96, 3]
Generated Node #0,0: 43:[75, 96, 3] Operation: 97-94=3
Moving to Node #0,0
Current State: 43:[75, 96, 3], Operations: ['97-94=3']
Exploring Operation: 96/3=32, Resulting Numbers: [75, 32]
Generated Node #0,0,0: 43:[75, 32] Operation: 96/3=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[75, 32], Operations: ['97-94=3', '96/3=32']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[97, 94, 75, 96], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [75, 96, 3]
Generated Node #0,0: 43:[75, 96, 3] Operation: 97-94=3
Moving to Node #0,0
Current State: 43:[75, 96, 3], Operations: ['97-94=3']
Exploring Operation: 96/3=32, Resulting Numbers: [75, 32]
Generated Node #0,0,0: 43:[75, 32] Operation: 96/3=32
Moving to Node #0,0,0
Current State: 43:[75, 32], Operations: ['97-94=3', '96/3=32']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
96,
2,
9,
50
] | 28 | [
"96-50=46",
"2*9=18",
"46-18=28"
] | Current State: 28:[96, 2, 9, 50], Operations: []
Exploring Operation: 96-50=46, Resulting Numbers: [2, 9, 46]
Generated Node #2: [2, 9, 46] from Operation: 96-50=46
Current State: 28:[2, 9, 46], Operations: ['96-50=46']
Exploring Operation: 2*9=18, Resulting Numbers: [46, 18]
Generated Node #3: [46, 18] from Operation: 2*9=18
Current State: 28:[46, 18], Operations: ['96-50=46', '2*9=18']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[96, 2, 9, 50], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [9, 50, 48]
Generated Node #0,0: 28:[9, 50, 48] Operation: 96/2=48
Exploring Operation: 96-50=46, Resulting Numbers: [2, 9, 46]
Generated Node #0,1: 28:[2, 9, 46] Operation: 96-50=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[2, 9, 46], Operations: ['96-50=46']
Exploring Operation: 46/2=23, Resulting Numbers: [9, 23]
Generated Node #0,1,0: 28:[9, 23] Operation: 46/2=23
Exploring Operation: 46-9=37, Resulting Numbers: [2, 37]
Generated Node #0,1,1: 28:[2, 37] Operation: 46-9=37
Moving to Node #0,1,0
Current State: 28:[9, 23], Operations: ['96-50=46', '46/2=23']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[2, 37], Operations: ['96-50=46', '46-9=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,28 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:[9, 50, 48], Operations: ['96/2=48']
Exploring Operation: 50-48=2, Resulting Numbers: [9, 2]
Generated Node #0,0,0: 28:[9, 2] Operation: 50-48=2
Exploring Operation: 50-9=41, Resulting Numbers: [48, 41]
Generated Node #0,0,1: 28:[48, 41] Operation: 50-9=41
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[9, 2], Operations: ['96/2=48', '50-48=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,28 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:[48, 41], Operations: ['96/2=48', '50-9=41']
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 48+41=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
No solution found.
| 0 | hs_2 | mult_heuristic |
[
85,
63,
66,
80
] | 15 | [
"85-80=5",
"66-63=3",
"5*3=15"
] | Current State: 15:[85, 63, 66, 80], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [63, 66, 5]
Generated Node #2: [63, 66, 5] from Operation: 85-80=5
Current State: 15:[63, 66, 5], Operations: ['85-80=5']
Exploring Operation: 66-63=3, Resulting Numbers: [5, 3]
Generated Node #3: [5, 3] from Operation: 66-63=3
Current State: 15:[5, 3], Operations: ['85-80=5', '66-63=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[85, 63, 66, 80], Operations: []
Exploring Operation: 85-63=22, Resulting Numbers: [66, 80, 22]
Generated Node #0,0: 15:[66, 80, 22] Operation: 85-63=22
Exploring Operation: 80-63=17, Resulting Numbers: [85, 66, 17]
Generated Node #0,1: 15:[85, 66, 17] Operation: 80-63=17
Exploring Operation: 80-66=14, Resulting Numbers: [85, 63, 14]
Generated Node #0,2: 15:[85, 63, 14] Operation: 80-66=14
Exploring Operation: 85-66=19, Resulting Numbers: [63, 80, 19]
Generated Node #0,3: 15:[63, 80, 19] Operation: 85-66=19
Exploring Operation: 85-80=5, Resulting Numbers: [63, 66, 5]
Generated Node #0,4: 15:[63, 66, 5] Operation: 85-80=5
Moving to Node #0,4
Current State: 15:[63, 66, 5], Operations: ['85-80=5']
Exploring Operation: 63-5=58, Resulting Numbers: [66, 58]
Generated Node #0,4,0: 15:[66, 58] Operation: 63-5=58
Exploring Operation: 63+5=68, Resulting Numbers: [66, 68]
Generated Node #0,4,1: 15:[66, 68] Operation: 63+5=68
Exploring Operation: 66-63=3, Resulting Numbers: [5, 3]
Generated Node #0,4,2: 15:[5, 3] Operation: 66-63=3
Exploring Operation: 66+5=71, Resulting Numbers: [63, 71]
Generated Node #0,4,3: 15:[63, 71] Operation: 66+5=71
Exploring Operation: 66-5=61, Resulting Numbers: [63, 61]
Generated Node #0,4,4: 15:[63, 61] Operation: 66-5=61
Moving to Node #0,3
Current State: 15:[63, 80, 19], Operations: ['85-66=19']
Exploring Operation: 80-63=17, Resulting Numbers: [19, 17]
Generated Node #0,3,0: 15:[19, 17] Operation: 80-63=17
Exploring Operation: 80-19=61, Resulting Numbers: [63, 61]
Generated Node #0,3,1: 15:[63, 61] Operation: 80-19=61
Exploring Operation: 63-19=44, Resulting Numbers: [80, 44]
Generated Node #0,3,2: 15:[80, 44] Operation: 63-19=44
Exploring Operation: 63+80=143, Resulting Numbers: [19, 143]
Generated Node #0,3,3: 15:[19, 143] Operation: 63+80=143
Exploring Operation: 63+19=82, Resulting Numbers: [80, 82]
Generated Node #0,3,4: 15:[80, 82] Operation: 63+19=82
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 15:[19, 17], Operations: ['85-66=19', '80-63=17']
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 19*17=323, Resulting Numbers: [323]
323,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 15:[63, 61], Operations: ['85-66=19', '80-19=61']
Exploring Operation: 63-61=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 63*61=3843, Resulting Numbers: [3843]
3843,15 unequal: No Solution
Exploring Operation: 63+61=124, Resulting Numbers: [124]
124,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 15:[80, 44], Operations: ['85-66=19', '63-19=44']
Exploring Operation: 80*44=3520, Resulting Numbers: [3520]
3520,15 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 80+44=124, Resulting Numbers: [124]
124,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 15:[19, 143], Operations: ['85-66=19', '63+80=143']
Exploring Operation: 19+143=162, Resulting Numbers: [162]
162,15 unequal: No Solution
Exploring Operation: 19*143=2717, Resulting Numbers: [2717]
2717,15 unequal: No Solution
Exploring Operation: 143-19=124, Resulting Numbers: [124]
124,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 15:[80, 82], Operations: ['85-66=19', '63+19=82']
Exploring Operation: 80+82=162, Resulting Numbers: [162]
162,15 unequal: No Solution
Exploring Operation: 80*82=6560, Resulting Numbers: [6560]
6560,15 unequal: No Solution
Exploring Operation: 82-80=2, Resulting Numbers: [2]
2,15 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: 15:[85, 63, 14], Operations: ['80-66=14']
Exploring Operation: 85-63=22, Resulting Numbers: [14, 22]
Generated Node #0,2,0: 15:[14, 22] Operation: 85-63=22
Exploring Operation: 63+14=77, Resulting Numbers: [85, 77]
Generated Node #0,2,1: 15:[85, 77] Operation: 63+14=77
Exploring Operation: 63-14=49, Resulting Numbers: [85, 49]
Generated Node #0,2,2: 15:[85, 49] Operation: 63-14=49
Exploring Operation: 85+14=99, Resulting Numbers: [63, 99]
Generated Node #0,2,3: 15:[63, 99] Operation: 85+14=99
Exploring Operation: 85-14=71, Resulting Numbers: [63, 71]
Generated Node #0,2,4: 15:[63, 71] Operation: 85-14=71
Moving to Node #0,0
Current State: 15:[66, 80, 22], Operations: ['85-63=22']
Exploring Operation: 66-22=44, Resulting Numbers: [80, 44]
Generated Node #0,0,0: 15:[80, 44] Operation: 66-22=44
Exploring Operation: 66+80=146, Resulting Numbers: [22, 146]
Generated Node #0,0,1: 15:[22, 146] Operation: 66+80=146
Exploring Operation: 80-66=14, Resulting Numbers: [22, 14]
Generated Node #0,0,2: 15:[22, 14] Operation: 80-66=14
Exploring Operation: 66/22=3, Resulting Numbers: [80, 3]
Generated Node #0,0,3: 15:[80, 3] Operation: 66/22=3
Exploring Operation: 80-22=58, Resulting Numbers: [66, 58]
Generated Node #0,0,4: 15:[66, 58] Operation: 80-22=58
Moving to Node #0,1
Current State: 15:[85, 66, 17], Operations: ['80-63=17']
Exploring Operation: 85/17=5, Resulting Numbers: [66, 5]
Generated Node #0,1,0: 15:[66, 5] Operation: 85/17=5
Exploring Operation: 66-17=49, Resulting Numbers: [85, 49]
Generated Node #0,1,1: 15:[85, 49] Operation: 66-17=49
Exploring Operation: 85-17=68, Resulting Numbers: [66, 68]
Generated Node #0,1,2: 15:[66, 68] Operation: 85-17=68
Exploring Operation: 85-66=19, Resulting Numbers: [17, 19]
Generated Node #0,1,3: 15:[17, 19] Operation: 85-66=19
Exploring Operation: 85+66=151, Resulting Numbers: [17, 151]
Generated Node #0,1,4: 15:[17, 151] Operation: 85+66=151
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[17, 19], Operations: ['80-63=17', '85-66=19']
Exploring Operation: 17*19=323, Resulting Numbers: [323]
323,15 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[66, 5], Operations: ['80-63=17', '85/17=5']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,15 unequal: No Solution
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,15 unequal: No Solution
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[85, 49], Operations: ['80-63=17', '66-17=49']
Exploring Operation: 85*49=4165, Resulting Numbers: [4165]
4165,15 unequal: No Solution
Exploring Operation: 85+49=134, Resulting Numbers: [134]
134,15 unequal: No Solution
Exploring Operation: 85-49=36, Resulting Numbers: [36]
36,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[66, 68], Operations: ['80-63=17', '85-17=68']
Exploring Operation: 66*68=4488, Resulting Numbers: [4488]
4488,15 unequal: No Solution
Exploring Operation: 66+68=134, Resulting Numbers: [134]
134,15 unequal: No Solution
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 15:[17, 151], Operations: ['80-63=17', '85+66=151']
Exploring Operation: 151-17=134, Resulting Numbers: [134]
134,15 unequal: No Solution
Exploring Operation: 17*151=2567, Resulting Numbers: [2567]
2567,15 unequal: No Solution
Exploring Operation: 17+151=168, Resulting Numbers: [168]
168,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 15:[5, 3], Operations: ['85-80=5', '66-63=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[85, 63, 66, 80], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [63, 66, 5]
Generated Node #0,4: 15:[63, 66, 5] Operation: 85-80=5
Moving to Node #0,4
Current State: 15:[63, 66, 5], Operations: ['85-80=5']
Exploring Operation: 66-63=3, Resulting Numbers: [5, 3]
Generated Node #0,4,2: 15:[5, 3] Operation: 66-63=3
Moving to Node #0,4,2
Current State: 15:[5, 3], Operations: ['85-80=5', '66-63=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.94184 | hs_5 | sum_heuristic |
[
36,
34,
14,
44
] | 16 | [
"36-34=2",
"14*2=28",
"44-28=16"
] | Current State: 16:[36, 34, 14, 44], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [14, 44, 2]
Generated Node #2: [14, 44, 2] from Operation: 36-34=2
Current State: 16:[14, 44, 2], Operations: ['36-34=2']
Exploring Operation: 14*2=28, Resulting Numbers: [44, 28]
Generated Node #3: [44, 28] from Operation: 14*2=28
Current State: 16:[44, 28], Operations: ['36-34=2', '14*2=28']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[36, 34, 14, 44], Operations: []
Exploring Operation: 36-14=22, Resulting Numbers: [34, 44, 22]
Generated Node #0,0: 16:[34, 44, 22] Operation: 36-14=22
Exploring Operation: 44-36=8, Resulting Numbers: [34, 14, 8]
Generated Node #0,1: 16:[34, 14, 8] Operation: 44-36=8
Exploring Operation: 36-34=2, Resulting Numbers: [14, 44, 2]
Generated Node #0,2: 16:[14, 44, 2] Operation: 36-34=2
Exploring Operation: 44-34=10, Resulting Numbers: [36, 14, 10]
Generated Node #0,3: 16:[36, 14, 10] Operation: 44-34=10
Exploring Operation: 34-14=20, Resulting Numbers: [36, 44, 20]
Generated Node #0,4: 16:[36, 44, 20] Operation: 34-14=20
Moving to Node #0,1
Current State: 16:[34, 14, 8], Operations: ['44-36=8']
Exploring Operation: 34-14=20, Resulting Numbers: [8, 20]
Generated Node #0,1,0: 16:[8, 20] Operation: 34-14=20
Exploring Operation: 34-8=26, Resulting Numbers: [14, 26]
Generated Node #0,1,1: 16:[14, 26] Operation: 34-8=26
Exploring Operation: 14-8=6, Resulting Numbers: [34, 6]
Generated Node #0,1,2: 16:[34, 6] Operation: 14-8=6
Exploring Operation: 14+8=22, Resulting Numbers: [34, 22]
Generated Node #0,1,3: 16:[34, 22] Operation: 14+8=22
Exploring Operation: 34+8=42, Resulting Numbers: [14, 42]
Generated Node #0,1,4: 16:[14, 42] Operation: 34+8=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[8, 20], Operations: ['44-36=8', '34-14=20']
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,16 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[14, 26], Operations: ['44-36=8', '34-8=26']
Exploring Operation: 14*26=364, Resulting Numbers: [364]
364,16 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 14+26=40, Resulting Numbers: [40]
40,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 16:[34, 6], Operations: ['44-36=8', '14-8=6']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,16 unequal: No Solution
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 16:[34, 22], Operations: ['44-36=8', '14+8=22']
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,16 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,16 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 16:[14, 42], Operations: ['44-36=8', '34+8=42']
Exploring Operation: 14*42=588, Resulting Numbers: [588]
588,16 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 14+42=56, Resulting Numbers: [56]
56,16 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,16 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: 16:[36, 14, 10], Operations: ['44-34=10']
Exploring Operation: 36-14=22, Resulting Numbers: [10, 22]
Generated Node #0,3,0: 16:[10, 22] Operation: 36-14=22
Exploring Operation: 36-10=26, Resulting Numbers: [14, 26]
Generated Node #0,3,1: 16:[14, 26] Operation: 36-10=26
Exploring Operation: 36+10=46, Resulting Numbers: [14, 46]
Generated Node #0,3,2: 16:[14, 46] Operation: 36+10=46
Exploring Operation: 14+10=24, Resulting Numbers: [36, 24]
Generated Node #0,3,3: 16:[36, 24] Operation: 14+10=24
Exploring Operation: 14-10=4, Resulting Numbers: [36, 4]
Generated Node #0,3,4: 16:[36, 4] Operation: 14-10=4
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 16:[10, 22], Operations: ['44-34=10', '36-14=22']
Exploring Operation: 10*22=220, Resulting Numbers: [220]
220,16 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 10+22=32, Resulting Numbers: [32]
32,16 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 #0,3,1
Current State: 16:[14, 26], Operations: ['44-34=10', '36-10=26']
Exploring Operation: 14+26=40, Resulting Numbers: [40]
40,16 unequal: No Solution
Exploring Operation: 14*26=364, Resulting Numbers: [364]
364,16 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,16 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 #0,3,4
Current State: 16:[36, 4], Operations: ['44-34=10', '14-10=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,16 unequal: No Solution
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,16 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,16 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 #0,3,3
Current State: 16:[36, 24], Operations: ['44-34=10', '14+10=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,16 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 #0,3,2
Current State: 16:[14, 46], Operations: ['44-34=10', '36+10=46']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 14*46=644, Resulting Numbers: [644]
644,16 unequal: No Solution
Exploring Operation: 14+46=60, Resulting Numbers: [60]
60,16 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: 16:[14, 44, 2], Operations: ['36-34=2']
Exploring Operation: 14/2=7, Resulting Numbers: [44, 7]
Generated Node #0,2,0: 16:[44, 7] Operation: 14/2=7
Exploring Operation: 44-14=30, Resulting Numbers: [2, 30]
Generated Node #0,2,1: 16:[2, 30] Operation: 44-14=30
Exploring Operation: 44/2=22, Resulting Numbers: [14, 22]
Generated Node #0,2,2: 16:[14, 22] Operation: 44/2=22
Exploring Operation: 14+2=16, Resulting Numbers: [44, 16]
Generated Node #0,2,3: 16:[44, 16] Operation: 14+2=16
Exploring Operation: 44-2=42, Resulting Numbers: [14, 42]
Generated Node #0,2,4: 16:[14, 42] Operation: 44-2=42
Moving to Node #0,0
Current State: 16:[34, 44, 22], Operations: ['36-14=22']
Exploring Operation: 34+44=78, Resulting Numbers: [22, 78]
Generated Node #0,0,0: 16:[22, 78] Operation: 34+44=78
Exploring Operation: 44-22=22, Resulting Numbers: [34, 22]
Generated Node #0,0,1: 16:[34, 22] Operation: 44-22=22
Exploring Operation: 44-34=10, Resulting Numbers: [22, 10]
Generated Node #0,0,2: 16:[22, 10] Operation: 44-34=10
Exploring Operation: 34-22=12, Resulting Numbers: [44, 12]
Generated Node #0,0,3: 16:[44, 12] Operation: 34-22=12
Exploring Operation: 44/22=2, Resulting Numbers: [34, 2]
Generated Node #0,0,4: 16:[34, 2] Operation: 44/22=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[22, 10], Operations: ['36-14=22', '44-34=10']
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,16 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,16 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 #0,0,4
Current State: 16:[34, 2], Operations: ['36-14=22', '44/22=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,16 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 #0,0,1
Current State: 16:[34, 22], Operations: ['36-14=22', '44-22=22']
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,16 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,16 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 #0,0,3
Current State: 16:[44, 12], Operations: ['36-14=22', '34-22=12']
Exploring Operation: 44*12=528, Resulting Numbers: [528]
528,16 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 44+12=56, Resulting Numbers: [56]
56,16 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 #0,0,0
Current State: 16:[22, 78], Operations: ['36-14=22', '34+44=78']
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,16 unequal: No Solution
Exploring Operation: 22+78=100, Resulting Numbers: [100]
100,16 unequal: No Solution
Exploring Operation: 22*78=1716, Resulting Numbers: [1716]
1716,16 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: 16:[36, 44, 20], Operations: ['34-14=20']
Exploring Operation: 36+44=80, Resulting Numbers: [20, 80]
Generated Node #0,4,0: 16:[20, 80] Operation: 36+44=80
Exploring Operation: 44-36=8, Resulting Numbers: [20, 8]
Generated Node #0,4,1: 16:[20, 8] Operation: 44-36=8
Exploring Operation: 44-20=24, Resulting Numbers: [36, 24]
Generated Node #0,4,2: 16:[36, 24] Operation: 44-20=24
Exploring Operation: 36-20=16, Resulting Numbers: [44, 16]
Generated Node #0,4,3: 16:[44, 16] Operation: 36-20=16
Exploring Operation: 36+20=56, Resulting Numbers: [44, 56]
Generated Node #0,4,4: 16:[44, 56] Operation: 36+20=56
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 16:[20, 8], Operations: ['34-14=20', '44-36=8']
Exploring Operation: 20+8=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 20*8=160, Resulting Numbers: [160]
160,16 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,16 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 #0,4,2
Current State: 16:[36, 24], Operations: ['34-14=20', '44-20=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,16 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,16 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 #0,4,3
Current State: 16:[44, 16], Operations: ['34-14=20', '36-20=16']
Exploring Operation: 44*16=704, Resulting Numbers: [704]
704,16 unequal: No Solution
Exploring Operation: 44+16=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,16 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 #0,4,0
Current State: 16:[20, 80], Operations: ['34-14=20', '36+44=80']
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 20+80=100, Resulting Numbers: [100]
100,16 unequal: No Solution
Exploring Operation: 20*80=1600, Resulting Numbers: [1600]
1600,16 unequal: No Solution
Exploring Operation: 80/20=4, Resulting Numbers: [4]
4,16 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 #0,4,4
Current State: 16:[44, 56], Operations: ['34-14=20', '36+20=56']
Exploring Operation: 56-44=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 44+56=100, Resulting Numbers: [100]
100,16 unequal: No Solution
Exploring Operation: 44*56=2464, Resulting Numbers: [2464]
2464,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 16:[14, 22], Operations: ['36-34=2', '44/2=22']
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[2, 30], Operations: ['36-34=2', '44-14=30']
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[44, 16], Operations: ['36-34=2', '14+2=16']
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 44*16=704, Resulting Numbers: [704]
704,16 unequal: No Solution
Exploring Operation: 44+16=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Moving to Node #0,2,4
Current State: 16:[14, 42], Operations: ['36-34=2', '44-2=42']
Exploring Operation: 14*42=588, Resulting Numbers: [588]
588,16 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 14+42=56, Resulting Numbers: [56]
56,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[44, 7], Operations: ['36-34=2', '14/2=7']
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,16 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,16 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
49,
23,
54,
26
] | 100 | [
"49+23=72",
"54-26=28",
"72+28=100"
] | Current State: 100:[49, 23, 54, 26], Operations: []
Exploring Operation: 49+23=72, Resulting Numbers: [54, 26, 72]
Generated Node #2: [54, 26, 72] from Operation: 49+23=72
Current State: 100:[54, 26, 72], Operations: ['49+23=72']
Exploring Operation: 54-26=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 54-26=28
Current State: 100:[72, 28], Operations: ['49+23=72', '54-26=28']
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[49, 23, 54, 26], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [23, 26, 5]
Generated Node #0,0: 100:[23, 26, 5] Operation: 54-49=5
Moving to Node #0,0
Current State: 100:[23, 26, 5], Operations: ['54-49=5']
Exploring Operation: 23+26=49, Resulting Numbers: [5, 49]
Generated Node #0,0,0: 100:[5, 49] Operation: 23+26=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[5, 49], Operations: ['54-49=5', '23+26=49']
Exploring Operation: 5+49=54, Resulting Numbers: [54]
54,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
81,
49,
14,
24
] | 13 | [
"81+49=130",
"24-14=10",
"130/10=13"
] | Current State: 13:[81, 49, 14, 24], Operations: []
Exploring Operation: 81+49=130, Resulting Numbers: [14, 24, 130]
Generated Node #2: [14, 24, 130] from Operation: 81+49=130
Current State: 13:[14, 24, 130], Operations: ['81+49=130']
Exploring Operation: 24-14=10, Resulting Numbers: [130, 10]
Generated Node #3: [130, 10] from Operation: 24-14=10
Current State: 13:[130, 10], Operations: ['81+49=130', '24-14=10']
Exploring Operation: 130/10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[81, 49, 14, 24], Operations: []
Exploring Operation: 49-24=25, Resulting Numbers: [81, 14, 25]
Generated Node #0,0: 13:[81, 14, 25] Operation: 49-24=25
Exploring Operation: 81-24=57, Resulting Numbers: [49, 14, 57]
Generated Node #0,1: 13:[49, 14, 57] Operation: 81-24=57
Exploring Operation: 81-49=32, Resulting Numbers: [14, 24, 32]
Generated Node #0,2: 13:[14, 24, 32] Operation: 81-49=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[14, 24, 32], Operations: ['81-49=32']
Exploring Operation: 32-14=18, Resulting Numbers: [24, 18]
Generated Node #0,2,0: 13:[24, 18] Operation: 32-14=18
Exploring Operation: 24-14=10, Resulting Numbers: [32, 10]
Generated Node #0,2,1: 13:[32, 10] Operation: 24-14=10
Exploring Operation: 32-24=8, Resulting Numbers: [14, 8]
Generated Node #0,2,2: 13:[14, 8] Operation: 32-24=8
Moving to Node #0,2,2
Current State: 13:[14, 8], Operations: ['81-49=32', '32-24=8']
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,13 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[24, 18], Operations: ['81-49=32', '32-14=18']
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,13 unequal: No Solution
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[32, 10], Operations: ['81-49=32', '24-14=10']
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 32*10=320, Resulting Numbers: [320]
320,13 unequal: No Solution
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[81, 14, 25], Operations: ['49-24=25']
Exploring Operation: 81-25=56, Resulting Numbers: [14, 56]
Generated Node #0,0,0: 13:[14, 56] Operation: 81-25=56
Exploring Operation: 81-14=67, Resulting Numbers: [25, 67]
Generated Node #0,0,1: 13:[25, 67] Operation: 81-14=67
Exploring Operation: 25-14=11, Resulting Numbers: [81, 11]
Generated Node #0,0,2: 13:[81, 11] Operation: 25-14=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 13:[14, 56], Operations: ['49-24=25', '81-25=56']
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 14+56=70, Resulting Numbers: [70]
70,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[25, 67], Operations: ['49-24=25', '81-14=67']
Exploring Operation: 25+67=92, Resulting Numbers: [92]
92,13 unequal: No Solution
Exploring Operation: 67-25=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 25*67=1675, Resulting Numbers: [1675]
1675,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 13:[81, 11], Operations: ['49-24=25', '25-14=11']
Exploring Operation: 81+11=92, Resulting Numbers: [92]
92,13 unequal: No Solution
Exploring Operation: 81-11=70, Resulting Numbers: [70]
70,13 unequal: No Solution
Exploring Operation: 81*11=891, Resulting Numbers: [891]
891,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[49, 14, 57], Operations: ['81-24=57']
Exploring Operation: 57-49=8, Resulting Numbers: [14, 8]
Generated Node #0,1,0: 13:[14, 8] Operation: 57-49=8
Exploring Operation: 49-14=35, Resulting Numbers: [57, 35]
Generated Node #0,1,1: 13:[57, 35] Operation: 49-14=35
Exploring Operation: 57-14=43, Resulting Numbers: [49, 43]
Generated Node #0,1,2: 13:[49, 43] Operation: 57-14=43
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 13:[14, 8], Operations: ['81-24=57', '57-49=8']
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,13 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 13:[57, 35], Operations: ['81-24=57', '49-14=35']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,13 unequal: No Solution
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 13:[49, 43], Operations: ['81-24=57', '57-14=43']
Exploring Operation: 49+43=92, Resulting Numbers: [92]
92,13 unequal: No Solution
Exploring Operation: 49*43=2107, Resulting Numbers: [2107]
2107,13 unequal: No Solution
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
22,
26,
22,
27
] | 97 | [
"22+26=48",
"22+27=49",
"48+49=97"
] | Current State: 97:[22, 26, 22, 27], Operations: []
Exploring Operation: 22+26=48, Resulting Numbers: [27, 48]
Generated Node #2: [27, 48] from Operation: 22+26=48
Current State: 97:[27, 48], Operations: ['22+26=48']
Exploring Operation: 22+27=49, Resulting Numbers: [48, 49]
Generated Node #3: [48, 49] from Operation: 22+27=49
Current State: 97:[48, 49], Operations: ['22+26=48', '22+27=49']
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[22, 26, 22, 27], Operations: []
Exploring Operation: 22+22=44, Resulting Numbers: [26, 27, 44]
Generated Node #0,0: 97:[26, 27, 44] Operation: 22+22=44
Exploring Operation: 22+26=48, Resulting Numbers: [22, 27, 48]
Generated Node #0,1: 97:[22, 27, 48] Operation: 22+26=48
Moving to Node #0,0
Current State: 97:[26, 27, 44], Operations: ['22+22=44']
Exploring Operation: 26+44=70, Resulting Numbers: [27, 70]
Generated Node #0,0,0: 97:[27, 70] Operation: 26+44=70
Exploring Operation: 26+27=53, Resulting Numbers: [44, 53]
Generated Node #0,0,1: 97:[44, 53] Operation: 26+27=53
Moving to Node #0,1
Current State: 97:[22, 27, 48], Operations: ['22+26=48']
Exploring Operation: 22+27=49, Resulting Numbers: [48, 49]
Generated Node #0,1,0: 97:[48, 49] Operation: 22+27=49
Exploring Operation: 22+48=70, Resulting Numbers: [27, 70]
Generated Node #0,1,1: 97:[27, 70] Operation: 22+48=70
Moving to Node #0,0,0
Current State: 97:[27, 70], Operations: ['22+22=44', '26+44=70']
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[22, 26, 22, 27], Operations: []
Exploring Operation: 22+22=44, Resulting Numbers: [26, 27, 44]
Generated Node #0,0: 97:[26, 27, 44] Operation: 22+22=44
Moving to Node #0,0
Current State: 97:[26, 27, 44], Operations: ['22+22=44']
Exploring Operation: 26+44=70, Resulting Numbers: [27, 70]
Generated Node #0,0,0: 97:[27, 70] Operation: 26+44=70
Moving to Node #0,0,0
Current State: 97:[27, 70], Operations: ['22+22=44', '26+44=70']
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
20,
81,
50,
3
] | 33 | [
"81-20=61",
"61-50=11",
"3*11=33"
] | Current State: 33:[20, 81, 50, 3], Operations: []
Exploring Operation: 81-20=61, Resulting Numbers: [50, 3, 61]
Generated Node #2: [50, 3, 61] from Operation: 81-20=61
Current State: 33:[50, 3, 61], Operations: ['81-20=61']
Exploring Operation: 61-50=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 61-50=11
Current State: 33:[3, 11], Operations: ['81-20=61', '61-50=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[20, 81, 50, 3], Operations: []
Exploring Operation: 81-50=31, Resulting Numbers: [20, 3, 31]
Generated Node #0,0: 33:[20, 3, 31] Operation: 81-50=31
Moving to Node #0,0
Current State: 33:[20, 3, 31], Operations: ['81-50=31']
Exploring Operation: 31-20=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 33:[3, 11] Operation: 31-20=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[3, 11], Operations: ['81-50=31', '31-20=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[20, 81, 50, 3], Operations: []
Exploring Operation: 81-50=31, Resulting Numbers: [20, 3, 31]
Generated Node #0,0: 33:[20, 3, 31] Operation: 81-50=31
Moving to Node #0,0
Current State: 33:[20, 3, 31], Operations: ['81-50=31']
Exploring Operation: 31-20=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 33:[3, 11] Operation: 31-20=11
Moving to Node #0,0,0
Current State: 33:[3, 11], Operations: ['81-50=31', '31-20=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
49,
77,
75,
22
] | 93 | [
"77-75=2",
"22*2=44",
"49+44=93"
] | Current State: 93:[49, 77, 75, 22], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [49, 22, 2]
Generated Node #2: [49, 22, 2] from Operation: 77-75=2
Current State: 93:[49, 22, 2], Operations: ['77-75=2']
Exploring Operation: 22*2=44, Resulting Numbers: [49, 44]
Generated Node #3: [49, 44] from Operation: 22*2=44
Current State: 93:[49, 44], Operations: ['77-75=2', '22*2=44']
Exploring Operation: 49+44=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[49, 77, 75, 22], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [49, 22, 2]
Generated Node #0,0: 93:[49, 22, 2] Operation: 77-75=2
Exploring Operation: 77-49=28, Resulting Numbers: [75, 22, 28]
Generated Node #0,1: 93:[75, 22, 28] Operation: 77-49=28
Moving to Node #0,0
Current State: 93:[49, 22, 2], Operations: ['77-75=2']
Exploring Operation: 49-22=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 93:[2, 27] Operation: 49-22=27
Exploring Operation: 49*2=98, Resulting Numbers: [22, 98]
Generated Node #0,0,1: 93:[22, 98] Operation: 49*2=98
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[2, 27], Operations: ['77-75=2', '49-22=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,93 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 #0,0,1
Current State: 93:[22, 98], Operations: ['77-75=2', '49*2=98']
Exploring Operation: 98-22=76, Resulting Numbers: [76]
76,93 unequal: No Solution
Exploring Operation: 22+98=120, Resulting Numbers: [120]
120,93 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: 93:[75, 22, 28], Operations: ['77-49=28']
Exploring Operation: 75+22=97, Resulting Numbers: [28, 97]
Generated Node #0,1,0: 93:[28, 97] Operation: 75+22=97
Exploring Operation: 75+28=103, Resulting Numbers: [22, 103]
Generated Node #0,1,1: 93:[22, 103] Operation: 75+28=103
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[28, 97], Operations: ['77-49=28', '75+22=97']
Exploring Operation: 97-28=69, Resulting Numbers: [69]
69,93 unequal: No Solution
Exploring Operation: 28+97=125, Resulting Numbers: [125]
125,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[22, 103], Operations: ['77-49=28', '75+28=103']
Exploring Operation: 22+103=125, Resulting Numbers: [125]
125,93 unequal: No Solution
Exploring Operation: 103-22=81, Resulting Numbers: [81]
81,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
36,
79,
2,
83
] | 38 | [
"79-36=43",
"83-2=81",
"81-43=38"
] | Current State: 38:[36, 79, 2, 83], Operations: []
Exploring Operation: 79-36=43, Resulting Numbers: [2, 83, 43]
Generated Node #2: [2, 83, 43] from Operation: 79-36=43
Current State: 38:[2, 83, 43], Operations: ['79-36=43']
Exploring Operation: 83-2=81, Resulting Numbers: [43, 81]
Generated Node #3: [43, 81] from Operation: 83-2=81
Current State: 38:[43, 81], Operations: ['79-36=43', '83-2=81']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[36, 79, 2, 83], Operations: []
Exploring Operation: 79-36=43, Resulting Numbers: [2, 83, 43]
Generated Node #0,0: 38:[2, 83, 43] Operation: 79-36=43
Exploring Operation: 83-79=4, Resulting Numbers: [36, 2, 4]
Generated Node #0,1: 38:[36, 2, 4] Operation: 83-79=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[36, 2, 4], Operations: ['83-79=4']
Exploring Operation: 36+2=38, Resulting Numbers: [4, 38]
Generated Node #0,1,0: 38:[4, 38] Operation: 36+2=38
Exploring Operation: 36+4=40, Resulting Numbers: [2, 40]
Generated Node #0,1,1: 38:[2, 40] Operation: 36+4=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[4, 38], Operations: ['83-79=4', '36+2=38']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[2, 40], Operations: ['83-79=4', '36+4=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[36, 79, 2, 83], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [36, 2, 4]
Generated Node #0,1: 38:[36, 2, 4] Operation: 83-79=4
Moving to Node #0,1
Current State: 38:[36, 2, 4], Operations: ['83-79=4']
Exploring Operation: 36+4=40, Resulting Numbers: [2, 40]
Generated Node #0,1,1: 38:[2, 40] Operation: 36+4=40
Moving to Node #0,1,1
Current State: 38:[2, 40], Operations: ['83-79=4', '36+4=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
35,
54,
78,
2
] | 100 | [
"35+54=89",
"2*89=178",
"178-78=100"
] | Current State: 100:[35, 54, 78, 2], Operations: []
Exploring Operation: 35+54=89, Resulting Numbers: [78, 2, 89]
Generated Node #2: [78, 2, 89] from Operation: 35+54=89
Current State: 100:[78, 2, 89], Operations: ['35+54=89']
Exploring Operation: 2*89=178, Resulting Numbers: [78, 178]
Generated Node #3: [78, 178] from Operation: 2*89=178
Current State: 100:[78, 178], Operations: ['35+54=89', '2*89=178']
Exploring Operation: 178-78=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[35, 54, 78, 2], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [35, 2, 24]
Generated Node #0,0: 100:[35, 2, 24] Operation: 78-54=24
Exploring Operation: 78-35=43, Resulting Numbers: [54, 2, 43]
Generated Node #0,1: 100:[54, 2, 43] Operation: 78-35=43
Moving to Node #0,0
Current State: 100:[35, 2, 24], Operations: ['78-54=24']
Exploring Operation: 35-2=33, Resulting Numbers: [24, 33]
Generated Node #0,0,0: 100:[24, 33] Operation: 35-2=33
Exploring Operation: 35-24=11, Resulting Numbers: [2, 11]
Generated Node #0,0,1: 100:[2, 11] Operation: 35-24=11
Moving to Node #0,1
Current State: 100:[54, 2, 43], Operations: ['78-35=43']
Exploring Operation: 54+43=97, Resulting Numbers: [2, 97]
Generated Node #0,1,0: 100:[2, 97] Operation: 54+43=97
Exploring Operation: 54-43=11, Resulting Numbers: [2, 11]
Generated Node #0,1,1: 100:[2, 11] Operation: 54-43=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[2, 11], Operations: ['78-35=43', '54-43=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[2, 97], Operations: ['78-35=43', '54+43=97']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,100 unequal: No Solution
Exploring Operation: 2+97=99, Resulting Numbers: [99]
99,100 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: 100:[2, 11], Operations: ['78-54=24', '35-24=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[24, 33], Operations: ['78-54=24', '35-2=33']
Exploring Operation: 24+33=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,100 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
19,
11,
2,
13
] | 75 | [
"19+13=32",
"2*32=64",
"11+64=75"
] | Current State: 75:[19, 11, 2, 13], Operations: []
Exploring Operation: 19+13=32, Resulting Numbers: [11, 2, 32]
Generated Node #2: [11, 2, 32] from Operation: 19+13=32
Current State: 75:[11, 2, 32], Operations: ['19+13=32']
Exploring Operation: 2*32=64, Resulting Numbers: [11, 64]
Generated Node #3: [11, 64] from Operation: 2*32=64
Current State: 75:[11, 64], Operations: ['19+13=32', '2*32=64']
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[19, 11, 2, 13], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [2, 13, 8]
Generated Node #0,0: 75:[2, 13, 8] Operation: 19-11=8
Exploring Operation: 19-13=6, Resulting Numbers: [11, 2, 6]
Generated Node #0,1: 75:[11, 2, 6] Operation: 19-13=6
Moving to Node #0,0
Current State: 75:[2, 13, 8], Operations: ['19-11=8']
Exploring Operation: 13-8=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 75:[2, 5] Operation: 13-8=5
Exploring Operation: 2+13=15, Resulting Numbers: [8, 15]
Generated Node #0,0,1: 75:[8, 15] Operation: 2+13=15
Moving to Node #0,1
Current State: 75:[11, 2, 6], Operations: ['19-13=6']
Exploring Operation: 11-6=5, Resulting Numbers: [2, 5]
Generated Node #0,1,0: 75:[2, 5] Operation: 11-6=5
Exploring Operation: 11+2=13, Resulting Numbers: [6, 13]
Generated Node #0,1,1: 75:[6, 13] Operation: 11+2=13
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[2, 5], Operations: ['19-13=6', '11-6=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,75 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:[6, 13], Operations: ['19-13=6', '11+2=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,75 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: 75:[2, 5], Operations: ['19-11=8', '13-8=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[8, 15], Operations: ['19-11=8', '2+13=15']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,75 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
38,
47,
35,
2
] | 88 | [
"47-38=9",
"35+9=44",
"2*44=88"
] | Current State: 88:[38, 47, 35, 2], Operations: []
Exploring Operation: 47-38=9, Resulting Numbers: [35, 2, 9]
Generated Node #2: [35, 2, 9] from Operation: 47-38=9
Current State: 88:[35, 2, 9], Operations: ['47-38=9']
Exploring Operation: 35+9=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 35+9=44
Current State: 88:[2, 44], Operations: ['47-38=9', '35+9=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[38, 47, 35, 2], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [47, 2, 3]
Generated Node #0,0: 88:[47, 2, 3] Operation: 38-35=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[47, 2, 3], Operations: ['38-35=3']
Exploring Operation: 47-3=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 88:[2, 44] Operation: 47-3=44
Moving to Node #0,0,0
Current State: 88:[2, 44], Operations: ['38-35=3', '47-3=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[38, 47, 35, 2], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [47, 2, 3]
Generated Node #0,0: 88:[47, 2, 3] Operation: 38-35=3
Moving to Node #0,0
Current State: 88:[47, 2, 3], Operations: ['38-35=3']
Exploring Operation: 47-3=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 88:[2, 44] Operation: 47-3=44
Moving to Node #0,0,0
Current State: 88:[2, 44], Operations: ['38-35=3', '47-3=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
56,
52,
38,
48
] | 98 | [
"56+52=108",
"48-38=10",
"108-10=98"
] | Current State: 98:[56, 52, 38, 48], Operations: []
Exploring Operation: 56+52=108, Resulting Numbers: [38, 48, 108]
Generated Node #2: [38, 48, 108] from Operation: 56+52=108
Current State: 98:[38, 48, 108], Operations: ['56+52=108']
Exploring Operation: 48-38=10, Resulting Numbers: [108, 10]
Generated Node #3: [108, 10] from Operation: 48-38=10
Current State: 98:[108, 10], Operations: ['56+52=108', '48-38=10']
Exploring Operation: 108-10=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[56, 52, 38, 48], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [52, 48, 18]
Generated Node #0,0: 98:[52, 48, 18] Operation: 56-38=18
Exploring Operation: 56+38=94, Resulting Numbers: [52, 48, 94]
Generated Node #0,1: 98:[52, 48, 94] Operation: 56+38=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[52, 48, 18], Operations: ['56-38=18']
Exploring Operation: 52-48=4, Resulting Numbers: [18, 4]
Generated Node #0,0,0: 98:[18, 4] Operation: 52-48=4
Exploring Operation: 52+48=100, Resulting Numbers: [18, 100]
Generated Node #0,0,1: 98:[18, 100] Operation: 52+48=100
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[18, 4], Operations: ['56-38=18', '52-48=4']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,98 unequal: No Solution
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[18, 100], Operations: ['56-38=18', '52+48=100']
Exploring Operation: 100-18=82, Resulting Numbers: [82]
82,98 unequal: No Solution
Exploring Operation: 18+100=118, Resulting Numbers: [118]
118,98 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:[52, 48, 94], Operations: ['56+38=94']
Exploring Operation: 52+48=100, Resulting Numbers: [94, 100]
Generated Node #0,1,0: 98:[94, 100] Operation: 52+48=100
Exploring Operation: 52-48=4, Resulting Numbers: [94, 4]
Generated Node #0,1,1: 98:[94, 4] Operation: 52-48=4
Moving to Node #0,1,0
Current State: 98:[94, 100], Operations: ['56+38=94', '52+48=100']
Exploring Operation: 100-94=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 94+100=194, Resulting Numbers: [194]
194,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[94, 4], Operations: ['56+38=94', '52-48=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[56, 52, 38, 48], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [52, 48, 94]
Generated Node #0,1: 98:[52, 48, 94] Operation: 56+38=94
Moving to Node #0,1
Current State: 98:[52, 48, 94], Operations: ['56+38=94']
Exploring Operation: 52-48=4, Resulting Numbers: [94, 4]
Generated Node #0,1,1: 98:[94, 4] Operation: 52-48=4
Moving to Node #0,1,1
Current State: 98:[94, 4], Operations: ['56+38=94', '52-48=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | sum_heuristic |
[
21,
37,
97,
15
] | 97 | [
"37-21=16",
"16-15=1",
"97*1=97"
] | Current State: 97:[21, 37, 97, 15], Operations: []
Exploring Operation: 37-21=16, Resulting Numbers: [97, 15, 16]
Generated Node #2: [97, 15, 16] from Operation: 37-21=16
Current State: 97:[97, 15, 16], Operations: ['37-21=16']
Exploring Operation: 16-15=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 16-15=1
Current State: 97:[97, 1], Operations: ['37-21=16', '16-15=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[21, 37, 97, 15], Operations: []
Exploring Operation: 21+37=58, Resulting Numbers: [97, 15, 58]
Generated Node #0,0: 97:[97, 15, 58] Operation: 21+37=58
Exploring Operation: 21+15=36, Resulting Numbers: [37, 97, 36]
Generated Node #0,1: 97:[37, 97, 36] Operation: 21+15=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[97, 15, 58], Operations: ['21+37=58']
Exploring Operation: 15+58=73, Resulting Numbers: [97, 73]
Generated Node #0,0,0: 97:[97, 73] Operation: 15+58=73
Exploring Operation: 97+15=112, Resulting Numbers: [58, 112]
Generated Node #0,0,1: 97:[58, 112] Operation: 97+15=112
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[97, 73], Operations: ['21+37=58', '15+58=73']
Exploring Operation: 97-73=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 97+73=170, Resulting Numbers: [170]
170,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[58, 112], Operations: ['21+37=58', '97+15=112']
Exploring Operation: 58+112=170, Resulting Numbers: [170]
170,97 unequal: No Solution
Exploring Operation: 112-58=54, Resulting Numbers: [54]
54,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[37, 97, 36], Operations: ['21+15=36']
Exploring Operation: 37-36=1, Resulting Numbers: [97, 1]
Generated Node #0,1,0: 97:[97, 1] Operation: 37-36=1
Exploring Operation: 37+36=73, Resulting Numbers: [97, 73]
Generated Node #0,1,1: 97:[97, 73] Operation: 37+36=73
Moving to Node #0,1,1
Current State: 97:[97, 73], Operations: ['21+15=36', '37+36=73']
Exploring Operation: 97-73=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 97+73=170, Resulting Numbers: [170]
170,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[97, 1], Operations: ['21+15=36', '37-36=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[21, 37, 97, 15], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [37, 97, 36]
Generated Node #0,1: 97:[37, 97, 36] Operation: 21+15=36
Moving to Node #0,1
Current State: 97:[37, 97, 36], Operations: ['21+15=36']
Exploring Operation: 37-36=1, Resulting Numbers: [97, 1]
Generated Node #0,1,0: 97:[97, 1] Operation: 37-36=1
Moving to Node #0,1,0
Current State: 97:[97, 1], Operations: ['21+15=36', '37-36=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
39,
37,
71,
93
] | 44 | [
"39-37=2",
"93-71=22",
"2*22=44"
] | Current State: 44:[39, 37, 71, 93], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [71, 93, 2]
Generated Node #2: [71, 93, 2] from Operation: 39-37=2
Current State: 44:[71, 93, 2], Operations: ['39-37=2']
Exploring Operation: 93-71=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 93-71=22
Current State: 44:[2, 22], Operations: ['39-37=2', '93-71=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[39, 37, 71, 93], Operations: []
Exploring Operation: 93-37=56, Resulting Numbers: [39, 71, 56]
Generated Node #0,0: 44:[39, 71, 56] Operation: 93-37=56
Exploring Operation: 93-71=22, Resulting Numbers: [39, 37, 22]
Generated Node #0,1: 44:[39, 37, 22] Operation: 93-71=22
Exploring Operation: 93-39=54, Resulting Numbers: [37, 71, 54]
Generated Node #0,2: 44:[37, 71, 54] Operation: 93-39=54
Moving to Node #0,1
Current State: 44:[39, 37, 22], Operations: ['93-71=22']
Exploring Operation: 37-22=15, Resulting Numbers: [39, 15]
Generated Node #0,1,0: 44:[39, 15] Operation: 37-22=15
Exploring Operation: 39-22=17, Resulting Numbers: [37, 17]
Generated Node #0,1,1: 44:[37, 17] Operation: 39-22=17
Exploring Operation: 39-37=2, Resulting Numbers: [22, 2]
Generated Node #0,1,2: 44:[22, 2] Operation: 39-37=2
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 44:[22, 2], Operations: ['93-71=22', '39-37=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,44 unequal: No Solution
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[39, 37, 71, 93], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [39, 37, 22]
Generated Node #0,1: 44:[39, 37, 22] Operation: 93-71=22
Moving to Node #0,1
Current State: 44:[39, 37, 22], Operations: ['93-71=22']
Exploring Operation: 39-37=2, Resulting Numbers: [22, 2]
Generated Node #0,1,2: 44:[22, 2] Operation: 39-37=2
Moving to Node #0,1,2
Current State: 44:[22, 2], Operations: ['93-71=22', '39-37=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
1,
17,
6,
59
] | 70 | [
"1*17=17",
"59-6=53",
"17+53=70"
] | Current State: 70:[1, 17, 6, 59], Operations: []
Exploring Operation: 1*17=17, Resulting Numbers: [6, 59, 17]
Generated Node #2: [6, 59, 17] from Operation: 1*17=17
Current State: 70:[6, 59, 17], Operations: ['1*17=17']
Exploring Operation: 59-6=53, Resulting Numbers: [17, 53]
Generated Node #3: [17, 53] from Operation: 59-6=53
Current State: 70:[17, 53], Operations: ['1*17=17', '59-6=53']
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[1, 17, 6, 59], Operations: []
Exploring Operation: 17+59=76, Resulting Numbers: [1, 6, 76]
Generated Node #0,0: 70:[1, 6, 76] Operation: 17+59=76
Exploring Operation: 59-17=42, Resulting Numbers: [1, 6, 42]
Generated Node #0,1: 70:[1, 6, 42] Operation: 59-17=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[1, 6, 76], Operations: ['17+59=76']
Exploring Operation: 1+6=7, Resulting Numbers: [76, 7]
Generated Node #0,0,0: 70:[76, 7] Operation: 1+6=7
Exploring Operation: 76-6=70, Resulting Numbers: [1, 70]
Generated Node #0,0,1: 70:[1, 70] Operation: 76-6=70
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 70:[1, 70], Operations: ['17+59=76', '76-6=70']
Exploring Operation: 70/1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[1, 17, 6, 59], Operations: []
Exploring Operation: 17+59=76, Resulting Numbers: [1, 6, 76]
Generated Node #0,0: 70:[1, 6, 76] Operation: 17+59=76
Moving to Node #0,0
Current State: 70:[1, 6, 76], Operations: ['17+59=76']
Exploring Operation: 76-6=70, Resulting Numbers: [1, 70]
Generated Node #0,0,1: 70:[1, 70] Operation: 76-6=70
Moving to Node #0,0,1
Current State: 70:[1, 70], Operations: ['17+59=76', '76-6=70']
Exploring Operation: 70/1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
37,
5,
9,
32
] | 50 | [
"37-32=5",
"5*9=45",
"5+45=50"
] | Current State: 50:[37, 5, 9, 32], Operations: []
Exploring Operation: 37-32=5, Resulting Numbers: [5, 9, 5]
Generated Node #2: [5, 9, 5] from Operation: 37-32=5
Current State: 50:[5, 9, 5], Operations: ['37-32=5']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,50 equal: Goal Reached
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[37, 5, 9, 32], Operations: []
Exploring Operation: 37-9=28, Resulting Numbers: [5, 32, 28]
Generated Node #0,0: 50:[5, 32, 28] Operation: 37-9=28
Exploring Operation: 37-32=5, Resulting Numbers: [5, 9, 5]
Generated Node #0,1: 50:[5, 9, 5] Operation: 37-32=5
Exploring Operation: 37+9=46, Resulting Numbers: [5, 32, 46]
Generated Node #0,2: 50:[5, 32, 46] Operation: 37+9=46
Moving to Node #0,1
Current State: 50:[5, 9, 5], Operations: ['37-32=5']
Exploring Operation: 5*5=25, Resulting Numbers: [9, 25]
Generated Node #0,1,0: 50:[9, 25] Operation: 5*5=25
Exploring Operation: 5+5=10, Resulting Numbers: [9, 10]
Generated Node #0,1,1: 50:[9, 10] Operation: 5+5=10
Exploring Operation: 9-5=4, Resulting Numbers: [5, 4]
Generated Node #0,1,2: 50:[5, 4] Operation: 9-5=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[9, 25], Operations: ['37-32=5', '5*5=25']
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,50 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[9, 10], Operations: ['37-32=5', '5+5=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 50:[5, 4], Operations: ['37-32=5', '9-5=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,50 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 50:[5, 32, 28], Operations: ['37-9=28']
Exploring Operation: 32-28=4, Resulting Numbers: [5, 4]
Generated Node #0,0,0: 50:[5, 4] Operation: 32-28=4
Exploring Operation: 28-5=23, Resulting Numbers: [32, 23]
Generated Node #0,0,1: 50:[32, 23] Operation: 28-5=23
Exploring Operation: 32-5=27, Resulting Numbers: [28, 27]
Generated Node #0,0,2: 50:[28, 27] Operation: 32-5=27
Moving to Node #0,2
Current State: 50:[5, 32, 46], Operations: ['37+9=46']
Exploring Operation: 5+46=51, Resulting Numbers: [32, 51]
Generated Node #0,2,0: 50:[32, 51] Operation: 5+46=51
Exploring Operation: 32-5=27, Resulting Numbers: [46, 27]
Generated Node #0,2,1: 50:[46, 27] Operation: 32-5=27
Exploring Operation: 46-32=14, Resulting Numbers: [5, 14]
Generated Node #0,2,2: 50:[5, 14] Operation: 46-32=14
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[5, 14], Operations: ['37+9=46', '46-32=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,50 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[46, 27], Operations: ['37+9=46', '32-5=27']
Exploring Operation: 46*27=1242, Resulting Numbers: [1242]
1242,50 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 46+27=73, Resulting Numbers: [73]
73,50 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 #0,2,0
Current State: 50:[32, 51], Operations: ['37+9=46', '5+46=51']
Exploring Operation: 32*51=1632, Resulting Numbers: [1632]
1632,50 unequal: No Solution
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 32+51=83, Resulting Numbers: [83]
83,50 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: 50:[5, 4], Operations: ['37-9=28', '32-28=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[28, 27], Operations: ['37-9=28', '32-5=27']
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,50 unequal: No Solution
Exploring Operation: 28*27=756, Resulting Numbers: [756]
756,50 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[32, 23], Operations: ['37-9=28', '28-5=23']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,50 unequal: No Solution
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,50 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
36,
29,
34,
80
] | 100 | [
"34-29=5",
"36*5=180",
"180-80=100"
] | Current State: 100:[36, 29, 34, 80], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [36, 80, 5]
Generated Node #2: [36, 80, 5] from Operation: 34-29=5
Current State: 100:[36, 80, 5], Operations: ['34-29=5']
Exploring Operation: 36*5=180, Resulting Numbers: [80, 180]
Generated Node #3: [80, 180] from Operation: 36*5=180
Current State: 100:[80, 180], Operations: ['34-29=5', '36*5=180']
Exploring Operation: 180-80=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[36, 29, 34, 80], Operations: []
Exploring Operation: 80-36=44, Resulting Numbers: [29, 34, 44]
Generated Node #0,0: 100:[29, 34, 44] Operation: 80-36=44
Moving to Node #0,0
Current State: 100:[29, 34, 44], Operations: ['80-36=44']
Exploring Operation: 44-34=10, Resulting Numbers: [29, 10]
Generated Node #0,0,0: 100:[29, 10] Operation: 44-34=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[29, 10], Operations: ['80-36=44', '44-34=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,100 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 |
[
10,
88,
24,
2
] | 33 | [
"88+2=90",
"90/10=9",
"24+9=33"
] | Current State: 33:[10, 88, 24, 2], Operations: []
Exploring Operation: 88+2=90, Resulting Numbers: [10, 24, 90]
Generated Node #2: [10, 24, 90] from Operation: 88+2=90
Current State: 33:[10, 24, 90], Operations: ['88+2=90']
Exploring Operation: 90/10=9, Resulting Numbers: [24, 9]
Generated Node #3: [24, 9] from Operation: 90/10=9
Current State: 33:[24, 9], Operations: ['88+2=90', '90/10=9']
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[10, 88, 24, 2], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [10, 24, 44]
Generated Node #0,0: 33:[10, 24, 44] Operation: 88/2=44
Exploring Operation: 88-10=78, Resulting Numbers: [24, 2, 78]
Generated Node #0,1: 33:[24, 2, 78] Operation: 88-10=78
Exploring Operation: 88-24=64, Resulting Numbers: [10, 2, 64]
Generated Node #0,2: 33:[10, 2, 64] Operation: 88-24=64
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[10, 24, 44], Operations: ['88/2=44']
Exploring Operation: 10+24=34, Resulting Numbers: [44, 34]
Generated Node #0,0,0: 33:[44, 34] Operation: 10+24=34
Exploring Operation: 44-24=20, Resulting Numbers: [10, 20]
Generated Node #0,0,1: 33:[10, 20] Operation: 44-24=20
Exploring Operation: 44-10=34, Resulting Numbers: [24, 34]
Generated Node #0,0,2: 33:[24, 34] Operation: 44-10=34
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 33:[10, 20], Operations: ['88/2=44', '44-24=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 33:[24, 34], Operations: ['88/2=44', '44-10=34']
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[44, 34], Operations: ['88/2=44', '10+24=34']
Exploring Operation: 44+34=78, Resulting Numbers: [78]
78,33 unequal: No Solution
Exploring Operation: 44-34=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 44*34=1496, Resulting Numbers: [1496]
1496,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[10, 2, 64], Operations: ['88-24=64']
Exploring Operation: 64-2=62, Resulting Numbers: [10, 62]
Generated Node #0,2,0: 33:[10, 62] Operation: 64-2=62
Exploring Operation: 64/2=32, Resulting Numbers: [10, 32]
Generated Node #0,2,1: 33:[10, 32] Operation: 64/2=32
Exploring Operation: 64-10=54, Resulting Numbers: [2, 54]
Generated Node #0,2,2: 33:[2, 54] Operation: 64-10=54
Moving to Node #0,2,1
Current State: 33:[10, 32], Operations: ['88-24=64', '64/2=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 10*32=320, Resulting Numbers: [320]
320,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[2, 54], Operations: ['88-24=64', '64-10=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[10, 62], Operations: ['88-24=64', '64-2=62']
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,33 unequal: No Solution
Exploring Operation: 10*62=620, Resulting Numbers: [620]
620,33 unequal: No Solution
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[24, 2, 78], Operations: ['88-10=78']
Exploring Operation: 78/2=39, Resulting Numbers: [24, 39]
Generated Node #0,1,0: 33:[24, 39] Operation: 78/2=39
Exploring Operation: 78-24=54, Resulting Numbers: [2, 54]
Generated Node #0,1,1: 33:[2, 54] Operation: 78-24=54
Exploring Operation: 24/2=12, Resulting Numbers: [78, 12]
Generated Node #0,1,2: 33:[78, 12] Operation: 24/2=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[24, 39], Operations: ['88-10=78', '78/2=39']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,33 unequal: No Solution
Exploring Operation: 24+39=63, Resulting Numbers: [63]
63,33 unequal: No Solution
Exploring Operation: 24*39=936, Resulting Numbers: [936]
936,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[2, 54], Operations: ['88-10=78', '78-24=54']
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,33 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 33:[78, 12], Operations: ['88-10=78', '24/2=12']
Exploring Operation: 78*12=936, Resulting Numbers: [936]
936,33 unequal: No Solution
Exploring Operation: 78+12=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
24,
10,
11,
93
] | 41 | [
"93-24=69",
"10*11=110",
"110-69=41"
] | Current State: 41:[24, 10, 11, 93], Operations: []
Exploring Operation: 93-24=69, Resulting Numbers: [10, 11, 69]
Generated Node #2: [10, 11, 69] from Operation: 93-24=69
Current State: 41:[10, 11, 69], Operations: ['93-24=69']
Exploring Operation: 10*11=110, Resulting Numbers: [69, 110]
Generated Node #3: [69, 110] from Operation: 10*11=110
Current State: 41:[69, 110], Operations: ['93-24=69', '10*11=110']
Exploring Operation: 110-69=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[24, 10, 11, 93], Operations: []
Exploring Operation: 24+11=35, Resulting Numbers: [10, 93, 35]
Generated Node #0,0: 41:[10, 93, 35] Operation: 24+11=35
Exploring Operation: 24+10=34, Resulting Numbers: [11, 93, 34]
Generated Node #0,1: 41:[11, 93, 34] Operation: 24+10=34
Exploring Operation: 93-24=69, Resulting Numbers: [10, 11, 69]
Generated Node #0,2: 41:[10, 11, 69] Operation: 93-24=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[10, 93, 35], Operations: ['24+11=35']
Exploring Operation: 93-10=83, Resulting Numbers: [35, 83]
Generated Node #0,0,0: 41:[35, 83] Operation: 93-10=83
Exploring Operation: 93-35=58, Resulting Numbers: [10, 58]
Generated Node #0,0,1: 41:[10, 58] Operation: 93-35=58
Exploring Operation: 10+35=45, Resulting Numbers: [93, 45]
Generated Node #0,0,2: 41:[93, 45] Operation: 10+35=45
Moving to Node #0,0,0
Current State: 41:[35, 83], Operations: ['24+11=35', '93-10=83']
Exploring Operation: 35+83=118, Resulting Numbers: [118]
118,41 unequal: No Solution
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 35*83=2905, Resulting Numbers: [2905]
2905,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[10, 58], Operations: ['24+11=35', '93-35=58']
Exploring Operation: 10*58=580, Resulting Numbers: [580]
580,41 unequal: No Solution
Exploring Operation: 10+58=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[93, 45], Operations: ['24+11=35', '10+35=45']
Exploring Operation: 93+45=138, Resulting Numbers: [138]
138,41 unequal: No Solution
Exploring Operation: 93*45=4185, Resulting Numbers: [4185]
4185,41 unequal: No Solution
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,41 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:[11, 93, 34], Operations: ['24+10=34']
Exploring Operation: 93-34=59, Resulting Numbers: [11, 59]
Generated Node #0,1,0: 41:[11, 59] Operation: 93-34=59
Exploring Operation: 93-11=82, Resulting Numbers: [34, 82]
Generated Node #0,1,1: 41:[34, 82] Operation: 93-11=82
Exploring Operation: 11+34=45, Resulting Numbers: [93, 45]
Generated Node #0,1,2: 41:[93, 45] Operation: 11+34=45
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 41:[11, 59], Operations: ['24+10=34', '93-34=59']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 11+59=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 11*59=649, Resulting Numbers: [649]
649,41 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 #0,1,1
Current State: 41:[34, 82], Operations: ['24+10=34', '93-11=82']
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 34*82=2788, Resulting Numbers: [2788]
2788,41 unequal: No Solution
Exploring Operation: 34+82=116, Resulting Numbers: [116]
116,41 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 #0,1,2
Current State: 41:[93, 45], Operations: ['24+10=34', '11+34=45']
Exploring Operation: 93+45=138, Resulting Numbers: [138]
138,41 unequal: No Solution
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 93*45=4185, Resulting Numbers: [4185]
4185,41 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:[10, 11, 69], Operations: ['93-24=69']
Exploring Operation: 10+11=21, Resulting Numbers: [69, 21]
Generated Node #0,2,0: 41:[69, 21] Operation: 10+11=21
Exploring Operation: 69-10=59, Resulting Numbers: [11, 59]
Generated Node #0,2,1: 41:[11, 59] Operation: 69-10=59
Exploring Operation: 69-11=58, Resulting Numbers: [10, 58]
Generated Node #0,2,2: 41:[10, 58] Operation: 69-11=58
Moving to Node #0,2,0
Current State: 41:[69, 21], Operations: ['93-24=69', '10+11=21']
Exploring Operation: 69*21=1449, Resulting Numbers: [1449]
1449,41 unequal: No Solution
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[11, 59], Operations: ['93-24=69', '69-10=59']
Exploring Operation: 11*59=649, Resulting Numbers: [649]
649,41 unequal: No Solution
Exploring Operation: 11+59=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[10, 58], Operations: ['93-24=69', '69-11=58']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 10+58=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 10*58=580, Resulting Numbers: [580]
580,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
11,
4,
66,
68
] | 94 | [
"11+66=77",
"68/4=17",
"77+17=94"
] | Current State: 94:[11, 4, 66, 68], Operations: []
Exploring Operation: 11+66=77, Resulting Numbers: [4, 68, 77]
Generated Node #2: [4, 68, 77] from Operation: 11+66=77
Current State: 94:[4, 68, 77], Operations: ['11+66=77']
Exploring Operation: 68/4=17, Resulting Numbers: [77, 17]
Generated Node #3: [77, 17] from Operation: 68/4=17
Current State: 94:[77, 17], Operations: ['11+66=77', '68/4=17']
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[11, 4, 66, 68], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [11, 4, 2]
Generated Node #0,0: 94:[11, 4, 2] Operation: 68-66=2
Moving to Node #0,0
Current State: 94:[11, 4, 2], Operations: ['68-66=2']
Exploring Operation: 11*4=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 94:[2, 44] Operation: 11*4=44
Moving to Node #0,0,0
Current State: 94:[2, 44], Operations: ['68-66=2', '11*4=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,94 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
86,
15,
25,
10
] | 91 | [
"15-10=5",
"25/5=5",
"86+5=91"
] | Current State: 91:[86, 15, 25, 10], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [86, 25, 5]
Generated Node #2: [86, 25, 5] from Operation: 15-10=5
Current State: 91:[86, 25, 5], Operations: ['15-10=5']
Exploring Operation: 25/5=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 25/5=5
Current State: 91:[86, 5], Operations: ['15-10=5', '25/5=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[86, 15, 25, 10], Operations: []
Exploring Operation: 25-15=10, Resulting Numbers: [86, 10, 10]
Generated Node #0,0: 91:[86, 10, 10] Operation: 25-15=10
Exploring Operation: 25-10=15, Resulting Numbers: [86, 15, 15]
Generated Node #0,1: 91:[86, 15, 15] Operation: 25-10=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[86, 15, 15], Operations: ['25-10=15']
Exploring Operation: 86+15=101, Resulting Numbers: [15, 101]
Generated Node #0,1,0: 91:[15, 101] Operation: 86+15=101
Exploring Operation: 15/15=1, Resulting Numbers: [86, 1]
Generated Node #0,1,1: 91:[86, 1] Operation: 15/15=1
Moving to Node #0,1,1
Current State: 91:[86, 1], Operations: ['25-10=15', '15/15=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,91 unequal: No Solution
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[15, 101], Operations: ['25-10=15', '86+15=101']
Exploring Operation: 101-15=86, Resulting Numbers: [86]
86,91 unequal: No Solution
Exploring Operation: 15+101=116, Resulting Numbers: [116]
116,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[86, 10, 10], Operations: ['25-15=10']
Exploring Operation: 86+10=96, Resulting Numbers: [10, 96]
Generated Node #0,0,0: 91:[10, 96] Operation: 86+10=96
Exploring Operation: 86+10=96, Resulting Numbers: [10, 96]
Generated Node #0,0,1: 91:[10, 96] Operation: 86+10=96
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[10, 96], Operations: ['25-15=10', '86+10=96']
Exploring Operation: 10+96=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,91 unequal: No Solution
No 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: 91:[10, 96], Operations: ['25-15=10', '86+10=96']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,91 unequal: No Solution
Exploring Operation: 10+96=106, Resulting Numbers: [106]
106,91 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 |
[
2,
19,
92,
19
] | 35 | [
"2*19=38",
"92-19=73",
"73-38=35"
] | Current State: 35:[2, 19, 92, 19], Operations: []
Exploring Operation: 2*19=38, Resulting Numbers: [92, 38]
Generated Node #2: [92, 38] from Operation: 2*19=38
Current State: 35:[92, 38], Operations: ['2*19=38']
Exploring Operation: 92-19=73, Resulting Numbers: [38, 73]
Generated Node #3: [38, 73] from Operation: 92-19=73
Current State: 35:[38, 73], Operations: ['2*19=38', '92-19=73']
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[2, 19, 92, 19], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [19, 19, 46]
Generated Node #0,0: 35:[19, 19, 46] Operation: 92/2=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[19, 19, 46], Operations: ['92/2=46']
Exploring Operation: 19+19=38, Resulting Numbers: [46, 38]
Generated Node #0,0,0: 35:[46, 38] Operation: 19+19=38
Moving to Node #0,0,0
Current State: 35:[46, 38], Operations: ['92/2=46', '19+19=38']
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,35 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 |
[
12,
51,
80,
4
] | 44 | [
"80+4=84",
"84/12=7",
"51-7=44"
] | Current State: 44:[12, 51, 80, 4], Operations: []
Exploring Operation: 80+4=84, Resulting Numbers: [12, 51, 84]
Generated Node #2: [12, 51, 84] from Operation: 80+4=84
Current State: 44:[12, 51, 84], Operations: ['80+4=84']
Exploring Operation: 84/12=7, Resulting Numbers: [51, 7]
Generated Node #3: [51, 7] from Operation: 84/12=7
Current State: 44:[51, 7], Operations: ['80+4=84', '84/12=7']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[12, 51, 80, 4], Operations: []
Exploring Operation: 80-51=29, Resulting Numbers: [12, 4, 29]
Generated Node #0,0: 44:[12, 4, 29] Operation: 80-51=29
Moving to Node #0,0
Current State: 44:[12, 4, 29], Operations: ['80-51=29']
Exploring Operation: 12+29=41, Resulting Numbers: [4, 41]
Generated Node #0,0,0: 44:[4, 41] Operation: 12+29=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[4, 41], Operations: ['80-51=29', '12+29=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
7,
2,
16,
68
] | 25 | [
"16-7=9",
"68/2=34",
"34-9=25"
] | Current State: 25:[7, 2, 16, 68], Operations: []
Exploring Operation: 16-7=9, Resulting Numbers: [2, 68, 9]
Generated Node #2: [2, 68, 9] from Operation: 16-7=9
Current State: 25:[2, 68, 9], Operations: ['16-7=9']
Exploring Operation: 68/2=34, Resulting Numbers: [9, 34]
Generated Node #3: [9, 34] from Operation: 68/2=34
Current State: 25:[9, 34], Operations: ['16-7=9', '68/2=34']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[7, 2, 16, 68], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [7, 16, 34]
Generated Node #0,0: 25:[7, 16, 34] Operation: 68/2=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[7, 16, 34], Operations: ['68/2=34']
Exploring Operation: 34-16=18, Resulting Numbers: [7, 18]
Generated Node #0,0,0: 25:[7, 18] Operation: 34-16=18
Moving to Node #0,0,0
Current State: 25:[7, 18], Operations: ['68/2=34', '34-16=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[7, 2, 16, 68], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [7, 16, 34]
Generated Node #0,0: 25:[7, 16, 34] Operation: 68/2=34
Moving to Node #0,0
Current State: 25:[7, 16, 34], Operations: ['68/2=34']
Exploring Operation: 34-16=18, Resulting Numbers: [7, 18]
Generated Node #0,0,0: 25:[7, 18] Operation: 34-16=18
Moving to Node #0,0,0
Current State: 25:[7, 18], Operations: ['68/2=34', '34-16=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
39,
80,
61,
84
] | 25 | [
"39+61=100",
"84-80=4",
"100/4=25"
] | Current State: 25:[39, 80, 61, 84], Operations: []
Exploring Operation: 39+61=100, Resulting Numbers: [80, 84, 100]
Generated Node #2: [80, 84, 100] from Operation: 39+61=100
Current State: 25:[80, 84, 100], Operations: ['39+61=100']
Exploring Operation: 84-80=4, Resulting Numbers: [100, 4]
Generated Node #3: [100, 4] from Operation: 84-80=4
Current State: 25:[100, 4], Operations: ['39+61=100', '84-80=4']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[39, 80, 61, 84], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [61, 84, 41]
Generated Node #0,0: 25:[61, 84, 41] Operation: 80-39=41
Exploring Operation: 84-80=4, Resulting Numbers: [39, 61, 4]
Generated Node #0,1: 25:[39, 61, 4] Operation: 84-80=4
Exploring Operation: 84-61=23, Resulting Numbers: [39, 80, 23]
Generated Node #0,2: 25:[39, 80, 23] Operation: 84-61=23
Exploring Operation: 84-39=45, Resulting Numbers: [80, 61, 45]
Generated Node #0,3: 25:[80, 61, 45] Operation: 84-39=45
Exploring Operation: 80-61=19, Resulting Numbers: [39, 84, 19]
Generated Node #0,4: 25:[39, 84, 19] Operation: 80-61=19
Moving to Node #0,1
Current State: 25:[39, 61, 4], Operations: ['84-80=4']
Exploring Operation: 39+4=43, Resulting Numbers: [61, 43]
Generated Node #0,1,0: 25:[61, 43] Operation: 39+4=43
Exploring Operation: 61+4=65, Resulting Numbers: [39, 65]
Generated Node #0,1,1: 25:[39, 65] Operation: 61+4=65
Exploring Operation: 39-4=35, Resulting Numbers: [61, 35]
Generated Node #0,1,2: 25:[61, 35] Operation: 39-4=35
Exploring Operation: 61-4=57, Resulting Numbers: [39, 57]
Generated Node #0,1,3: 25:[39, 57] Operation: 61-4=57
Exploring Operation: 61-39=22, Resulting Numbers: [4, 22]
Generated Node #0,1,4: 25:[4, 22] Operation: 61-39=22
Moving to Node #0,2
Current State: 25:[39, 80, 23], Operations: ['84-61=23']
Exploring Operation: 80+23=103, Resulting Numbers: [39, 103]
Generated Node #0,2,0: 25:[39, 103] Operation: 80+23=103
Exploring Operation: 80-23=57, Resulting Numbers: [39, 57]
Generated Node #0,2,1: 25:[39, 57] Operation: 80-23=57
Exploring Operation: 80-39=41, Resulting Numbers: [23, 41]
Generated Node #0,2,2: 25:[23, 41] Operation: 80-39=41
Exploring Operation: 39+23=62, Resulting Numbers: [80, 62]
Generated Node #0,2,3: 25:[80, 62] Operation: 39+23=62
Exploring Operation: 39-23=16, Resulting Numbers: [80, 16]
Generated Node #0,2,4: 25:[80, 16] Operation: 39-23=16
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[23, 41], Operations: ['84-61=23', '80-39=41']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 23*41=943, Resulting Numbers: [943]
943,25 unequal: No Solution
Exploring Operation: 23+41=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 #0,2,1
Current State: 25:[39, 57], Operations: ['84-61=23', '80-23=57']
Exploring Operation: 39*57=2223, Resulting Numbers: [2223]
2223,25 unequal: No Solution
Exploring Operation: 39+57=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 25:[80, 16], Operations: ['84-61=23', '39-23=16']
Exploring Operation: 80/16=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 80+16=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 80*16=1280, Resulting Numbers: [1280]
1280,25 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:[39, 103], Operations: ['84-61=23', '80+23=103']
Exploring Operation: 39+103=142, Resulting Numbers: [142]
142,25 unequal: No Solution
Exploring Operation: 103-39=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 39*103=4017, Resulting Numbers: [4017]
4017,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 25:[80, 62], Operations: ['84-61=23', '39+23=62']
Exploring Operation: 80+62=142, Resulting Numbers: [142]
142,25 unequal: No Solution
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 80*62=4960, Resulting Numbers: [4960]
4960,25 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: 25:[39, 84, 19], Operations: ['80-61=19']
Exploring Operation: 84-19=65, Resulting Numbers: [39, 65]
Generated Node #0,4,0: 25:[39, 65] Operation: 84-19=65
Exploring Operation: 39+19=58, Resulting Numbers: [84, 58]
Generated Node #0,4,1: 25:[84, 58] Operation: 39+19=58
Exploring Operation: 84+19=103, Resulting Numbers: [39, 103]
Generated Node #0,4,2: 25:[39, 103] Operation: 84+19=103
Exploring Operation: 84-39=45, Resulting Numbers: [19, 45]
Generated Node #0,4,3: 25:[19, 45] Operation: 84-39=45
Exploring Operation: 39-19=20, Resulting Numbers: [84, 20]
Generated Node #0,4,4: 25:[84, 20] Operation: 39-19=20
Moving to Node #0,0
Current State: 25:[61, 84, 41], Operations: ['80-39=41']
Exploring Operation: 61+84=145, Resulting Numbers: [41, 145]
Generated Node #0,0,0: 25:[41, 145] Operation: 61+84=145
Exploring Operation: 84-41=43, Resulting Numbers: [61, 43]
Generated Node #0,0,1: 25:[61, 43] Operation: 84-41=43
Exploring Operation: 61+41=102, Resulting Numbers: [84, 102]
Generated Node #0,0,2: 25:[84, 102] Operation: 61+41=102
Exploring Operation: 84-61=23, Resulting Numbers: [41, 23]
Generated Node #0,0,3: 25:[41, 23] Operation: 84-61=23
Exploring Operation: 61-41=20, Resulting Numbers: [84, 20]
Generated Node #0,0,4: 25:[84, 20] Operation: 61-41=20
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[41, 23], Operations: ['80-39=41', '84-61=23']
Exploring Operation: 41*23=943, Resulting Numbers: [943]
943,25 unequal: No Solution
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[61, 43], Operations: ['80-39=41', '84-41=43']
Exploring Operation: 61*43=2623, Resulting Numbers: [2623]
2623,25 unequal: No Solution
Exploring Operation: 61+43=104, Resulting Numbers: [104]
104,25 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 25:[84, 20], Operations: ['80-39=41', '61-41=20']
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 84+20=104, Resulting Numbers: [104]
104,25 unequal: No Solution
Exploring Operation: 84*20=1680, Resulting Numbers: [1680]
1680,25 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:[41, 145], Operations: ['80-39=41', '61+84=145']
Exploring Operation: 145-41=104, Resulting Numbers: [104]
104,25 unequal: No Solution
Exploring Operation: 41*145=5945, Resulting Numbers: [5945]
5945,25 unequal: No Solution
Exploring Operation: 41+145=186, Resulting Numbers: [186]
186,25 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:[84, 102], Operations: ['80-39=41', '61+41=102']
Exploring Operation: 84*102=8568, Resulting Numbers: [8568]
8568,25 unequal: No Solution
Exploring Operation: 102-84=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 84+102=186, Resulting Numbers: [186]
186,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 25:[80, 61, 45], Operations: ['84-39=45']
Exploring Operation: 80-61=19, Resulting Numbers: [45, 19]
Generated Node #0,3,0: 25:[45, 19] Operation: 80-61=19
Exploring Operation: 80-45=35, Resulting Numbers: [61, 35]
Generated Node #0,3,1: 25:[61, 35] Operation: 80-45=35
Exploring Operation: 80+61=141, Resulting Numbers: [45, 141]
Generated Node #0,3,2: 25:[45, 141] Operation: 80+61=141
Exploring Operation: 61-45=16, Resulting Numbers: [80, 16]
Generated Node #0,3,3: 25:[80, 16] Operation: 61-45=16
Exploring Operation: 80+45=125, Resulting Numbers: [61, 125]
Generated Node #0,3,4: 25:[61, 125] Operation: 80+45=125
Moving to Node #0,1,4
Current State: 25:[4, 22], Operations: ['84-80=4', '61-39=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,25 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Moving to Node #0,4,3
Current State: 25:[19, 45], Operations: ['80-61=19', '84-39=45']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[45, 19], Operations: ['84-39=45', '80-61=19']
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 45*19=855, Resulting Numbers: [855]
855,25 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[39, 57], Operations: ['84-80=4', '61-4=57']
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 39+57=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 39*57=2223, Resulting Numbers: [2223]
2223,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[61, 35], Operations: ['84-39=45', '80-45=35']
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 61*35=2135, Resulting Numbers: [2135]
2135,25 unequal: No Solution
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[61, 35], Operations: ['84-80=4', '39-4=35']
Exploring Operation: 61*35=2135, Resulting Numbers: [2135]
2135,25 unequal: No Solution
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Moving to Node #0,4,0
Current State: 25:[39, 65], Operations: ['80-61=19', '84-19=65']
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 39+65=104, Resulting Numbers: [104]
104,25 unequal: No Solution
Exploring Operation: 39*65=2535, Resulting Numbers: [2535]
2535,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[39, 65], Operations: ['84-80=4', '61+4=65']
Exploring Operation: 39*65=2535, Resulting Numbers: [2535]
2535,25 unequal: No Solution
Exploring Operation: 39+65=104, Resulting Numbers: [104]
104,25 unequal: No Solution
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[61, 43], Operations: ['84-80=4', '39+4=43']
Exploring Operation: 61*43=2623, Resulting Numbers: [2623]
2623,25 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 61+43=104, Resulting Numbers: [104]
104,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[80, 16], Operations: ['84-39=45', '61-45=16']
Exploring Operation: 80/16=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 80+16=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 80*16=1280, Resulting Numbers: [1280]
1280,25 unequal: No Solution
Exploring Operation: 80-16=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Moving to Node #0,4,4
Current State: 25:[84, 20], Operations: ['80-61=19', '39-19=20']
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 84*20=1680, Resulting Numbers: [1680]
1680,25 unequal: No Solution
Exploring Operation: 84+20=104, Resulting Numbers: [104]
104,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[39, 103], Operations: ['80-61=19', '84+19=103']
Exploring Operation: 103-39=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 39+103=142, Resulting Numbers: [142]
142,25 unequal: No Solution
Exploring Operation: 39*103=4017, Resulting Numbers: [4017]
4017,25 unequal: No Solution
Moving to Node #0,4,1
Current State: 25:[84, 58], Operations: ['80-61=19', '39+19=58']
Exploring Operation: 84+58=142, Resulting Numbers: [142]
142,25 unequal: No Solution
Exploring Operation: 84-58=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 84*58=4872, Resulting Numbers: [4872]
4872,25 unequal: No Solution
Moving to Node #0,3,4
Current State: 25:[61, 125], Operations: ['84-39=45', '80+45=125']
Exploring Operation: 61*125=7625, Resulting Numbers: [7625]
7625,25 unequal: No Solution
Exploring Operation: 125-61=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 61+125=186, Resulting Numbers: [186]
186,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[45, 141], Operations: ['84-39=45', '80+61=141']
Exploring Operation: 45*141=6345, Resulting Numbers: [6345]
6345,25 unequal: No Solution
Exploring Operation: 141-45=96, Resulting Numbers: [96]
96,25 unequal: No Solution
Exploring Operation: 45+141=186, Resulting Numbers: [186]
186,25 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
46,
18,
63,
92
] | 90 | [
"92/46=2",
"63-18=45",
"2*45=90"
] | Current State: 90:[46, 18, 63, 92], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [18, 63, 2]
Generated Node #2: [18, 63, 2] from Operation: 92/46=2
Current State: 90:[18, 63, 2], Operations: ['92/46=2']
Exploring Operation: 63-18=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 63-18=45
Current State: 90:[2, 45], Operations: ['92/46=2', '63-18=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[46, 18, 63, 92], Operations: []
Exploring Operation: 92-63=29, Resulting Numbers: [46, 18, 29]
Generated Node #0,0: 90:[46, 18, 29] Operation: 92-63=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[46, 18, 29], Operations: ['92-63=29']
Exploring Operation: 46-29=17, Resulting Numbers: [18, 17]
Generated Node #0,0,0: 90:[18, 17] Operation: 46-29=17
Moving to Node #0,0,0
Current State: 90:[18, 17], Operations: ['92-63=29', '46-29=17']
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
73,
37,
3,
89
] | 91 | [
"73+89=162",
"162/3=54",
"37+54=91"
] | Current State: 91:[73, 37, 3, 89], Operations: []
Exploring Operation: 73+89=162, Resulting Numbers: [37, 3, 162]
Generated Node #2: [37, 3, 162] from Operation: 73+89=162
Current State: 91:[37, 3, 162], Operations: ['73+89=162']
Exploring Operation: 162/3=54, Resulting Numbers: [37, 54]
Generated Node #3: [37, 54] from Operation: 162/3=54
Current State: 91:[37, 54], Operations: ['73+89=162', '162/3=54']
Exploring Operation: 37+54=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[73, 37, 3, 89], Operations: []
Exploring Operation: 73-37=36, Resulting Numbers: [3, 89, 36]
Generated Node #0,0: 91:[3, 89, 36] Operation: 73-37=36
Exploring Operation: 73+37=110, Resulting Numbers: [3, 89, 110]
Generated Node #0,1: 91:[3, 89, 110] Operation: 73+37=110
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[3, 89, 110], Operations: ['73+37=110']
Exploring Operation: 110-3=107, Resulting Numbers: [89, 107]
Generated Node #0,1,0: 91:[89, 107] Operation: 110-3=107
Exploring Operation: 110-89=21, Resulting Numbers: [3, 21]
Generated Node #0,1,1: 91:[3, 21] Operation: 110-89=21
Moving to Node #0,1,1
Current State: 91:[3, 21], Operations: ['73+37=110', '110-89=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,91 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[89, 107], Operations: ['73+37=110', '110-3=107']
Exploring Operation: 107-89=18, Resulting Numbers: [18]
18,91 unequal: No Solution
Exploring Operation: 89+107=196, Resulting Numbers: [196]
196,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[3, 89, 36], Operations: ['73-37=36']
Exploring Operation: 36/3=12, Resulting Numbers: [89, 12]
Generated Node #0,0,0: 91:[89, 12] Operation: 36/3=12
Exploring Operation: 3*36=108, Resulting Numbers: [89, 108]
Generated Node #0,0,1: 91:[89, 108] Operation: 3*36=108
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[89, 12], Operations: ['73-37=36', '36/3=12']
Exploring Operation: 89+12=101, Resulting Numbers: [101]
101,91 unequal: No Solution
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,91 unequal: No Solution
No 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: 91:[89, 108], Operations: ['73-37=36', '3*36=108']
Exploring Operation: 108-89=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 89+108=197, Resulting Numbers: [197]
197,91 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 |
[
5,
24,
60,
2
] | 44 | [
"5-2=3",
"60/3=20",
"24+20=44"
] | Current State: 44:[5, 24, 60, 2], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [24, 60, 3]
Generated Node #2: [24, 60, 3] from Operation: 5-2=3
Current State: 44:[24, 60, 3], Operations: ['5-2=3']
Exploring Operation: 60/3=20, Resulting Numbers: [24, 20]
Generated Node #3: [24, 20] from Operation: 60/3=20
Current State: 44:[24, 20], Operations: ['5-2=3', '60/3=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[5, 24, 60, 2], Operations: []
Exploring Operation: 60/5=12, Resulting Numbers: [24, 2, 12]
Generated Node #0,0: 44:[24, 2, 12] Operation: 60/5=12
Exploring Operation: 60-24=36, Resulting Numbers: [5, 2, 36]
Generated Node #0,1: 44:[5, 2, 36] Operation: 60-24=36
Moving to Node #0,0
Current State: 44:[24, 2, 12], Operations: ['60/5=12']
Exploring Operation: 24-2=22, Resulting Numbers: [12, 22]
Generated Node #0,0,0: 44:[12, 22] Operation: 24-2=22
Exploring Operation: 24/12=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 44:[2, 2] Operation: 24/12=2
Moving to Node #0,1
Current State: 44:[5, 2, 36], Operations: ['60-24=36']
Exploring Operation: 36/2=18, Resulting Numbers: [5, 18]
Generated Node #0,1,0: 44:[5, 18] Operation: 36/2=18
Exploring Operation: 5+36=41, Resulting Numbers: [2, 41]
Generated Node #0,1,1: 44:[2, 41] Operation: 5+36=41
Moving to Node #0,0,1
Current State: 44:[2, 2], Operations: ['60/5=12', '24/12=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[12, 22], Operations: ['60/5=12', '24-2=22']
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[2, 41], Operations: ['60-24=36', '5+36=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[5, 18], Operations: ['60-24=36', '36/2=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,44 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,44 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
19,
19,
40,
67
] | 65 | [
"19+19=38",
"67-40=27",
"38+27=65"
] | Current State: 65:[19, 19, 40, 67], Operations: []
Exploring Operation: 19+19=38, Resulting Numbers: [40, 67, 38]
Generated Node #2: [40, 67, 38] from Operation: 19+19=38
Current State: 65:[40, 67, 38], Operations: ['19+19=38']
Exploring Operation: 67-40=27, Resulting Numbers: [38, 27]
Generated Node #3: [38, 27] from Operation: 67-40=27
Current State: 65:[38, 27], Operations: ['19+19=38', '67-40=27']
Exploring Operation: 38+27=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[19, 19, 40, 67], Operations: []
Exploring Operation: 40-19=21, Resulting Numbers: [19, 67, 21]
Generated Node #0,0: 65:[19, 67, 21] Operation: 40-19=21
Exploring Operation: 40-19=21, Resulting Numbers: [19, 67, 21]
Generated Node #0,1: 65:[19, 67, 21] Operation: 40-19=21
Exploring Operation: 67-40=27, Resulting Numbers: [19, 19, 27]
Generated Node #0,2: 65:[19, 19, 27] Operation: 67-40=27
Exploring Operation: 19+40=59, Resulting Numbers: [19, 67, 59]
Generated Node #0,3: 65:[19, 67, 59] Operation: 19+40=59
Exploring Operation: 19+40=59, Resulting Numbers: [19, 67, 59]
Generated Node #0,4: 65:[19, 67, 59] Operation: 19+40=59
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[19, 67, 59], Operations: ['19+40=59']
Exploring Operation: 19+67=86, Resulting Numbers: [59, 86]
Generated Node #0,3,0: 65:[59, 86] Operation: 19+67=86
Exploring Operation: 59-19=40, Resulting Numbers: [67, 40]
Generated Node #0,3,1: 65:[67, 40] Operation: 59-19=40
Exploring Operation: 19+59=78, Resulting Numbers: [67, 78]
Generated Node #0,3,2: 65:[67, 78] Operation: 19+59=78
Exploring Operation: 67-59=8, Resulting Numbers: [19, 8]
Generated Node #0,3,3: 65:[19, 8] Operation: 67-59=8
Exploring Operation: 67-19=48, Resulting Numbers: [59, 48]
Generated Node #0,3,4: 65:[59, 48] Operation: 67-19=48
Moving to Node #0,3,3
Current State: 65:[19, 8], Operations: ['19+40=59', '67-59=8']
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,65 unequal: No Solution
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[67, 78], Operations: ['19+40=59', '19+59=78']
Exploring Operation: 67*78=5226, Resulting Numbers: [5226]
5226,65 unequal: No Solution
Exploring Operation: 78-67=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 67+78=145, Resulting Numbers: [145]
145,65 unequal: No Solution
Moving to Node #0,3,4
Current State: 65:[59, 48], Operations: ['19+40=59', '67-19=48']
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,65 unequal: No Solution
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,65 unequal: No Solution
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[59, 86], Operations: ['19+40=59', '19+67=86']
Exploring Operation: 59+86=145, Resulting Numbers: [145]
145,65 unequal: No Solution
Exploring Operation: 59*86=5074, Resulting Numbers: [5074]
5074,65 unequal: No Solution
Exploring Operation: 86-59=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[67, 40], Operations: ['19+40=59', '59-19=40']
Exploring Operation: 67+40=107, Resulting Numbers: [107]
107,65 unequal: No Solution
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 67*40=2680, Resulting Numbers: [2680]
2680,65 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 #0,4
Current State: 65:[19, 67, 59], Operations: ['19+40=59']
Exploring Operation: 59-19=40, Resulting Numbers: [67, 40]
Generated Node #0,4,0: 65:[67, 40] Operation: 59-19=40
Exploring Operation: 19+59=78, Resulting Numbers: [67, 78]
Generated Node #0,4,1: 65:[67, 78] Operation: 19+59=78
Exploring Operation: 19+67=86, Resulting Numbers: [59, 86]
Generated Node #0,4,2: 65:[59, 86] Operation: 19+67=86
Exploring Operation: 67-59=8, Resulting Numbers: [19, 8]
Generated Node #0,4,3: 65:[19, 8] Operation: 67-59=8
Exploring Operation: 67-19=48, Resulting Numbers: [59, 48]
Generated Node #0,4,4: 65:[59, 48] Operation: 67-19=48
Moving to Node #0,4,3
Current State: 65:[19, 8], Operations: ['19+40=59', '67-59=8']
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,65 unequal: No Solution
Moving to Node #0,4,1
Current State: 65:[67, 78], Operations: ['19+40=59', '19+59=78']
Exploring Operation: 78-67=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 67+78=145, Resulting Numbers: [145]
145,65 unequal: No Solution
Exploring Operation: 67*78=5226, Resulting Numbers: [5226]
5226,65 unequal: No Solution
Moving to Node #0,4,4
Current State: 65:[59, 48], Operations: ['19+40=59', '67-19=48']
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,65 unequal: No Solution
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,65 unequal: No Solution
Moving to Node #0,4,0
Current State: 65:[67, 40], Operations: ['19+40=59', '59-19=40']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 67+40=107, Resulting Numbers: [107]
107,65 unequal: No Solution
Exploring Operation: 67*40=2680, Resulting Numbers: [2680]
2680,65 unequal: No Solution
Moving to Node #0,4,2
Current State: 65:[59, 86], Operations: ['19+40=59', '19+67=86']
Exploring Operation: 86-59=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 59*86=5074, Resulting Numbers: [5074]
5074,65 unequal: No Solution
Exploring Operation: 59+86=145, Resulting Numbers: [145]
145,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[19, 67, 21], Operations: ['40-19=21']
Exploring Operation: 67-21=46, Resulting Numbers: [19, 46]
Generated Node #0,0,0: 65:[19, 46] Operation: 67-21=46
Exploring Operation: 67-19=48, Resulting Numbers: [21, 48]
Generated Node #0,0,1: 65:[21, 48] Operation: 67-19=48
Exploring Operation: 21-19=2, Resulting Numbers: [67, 2]
Generated Node #0,0,2: 65:[67, 2] Operation: 21-19=2
Exploring Operation: 19+67=86, Resulting Numbers: [21, 86]
Generated Node #0,0,3: 65:[21, 86] Operation: 19+67=86
Exploring Operation: 19+21=40, Resulting Numbers: [67, 40]
Generated Node #0,0,4: 65:[67, 40] Operation: 19+21=40
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 65:[67, 2], Operations: ['40-19=21', '21-19=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[19, 19, 40, 67], Operations: []
Exploring Operation: 40-19=21, Resulting Numbers: [19, 67, 21]
Generated Node #0,0: 65:[19, 67, 21] Operation: 40-19=21
Moving to Node #0,0
Current State: 65:[19, 67, 21], Operations: ['40-19=21']
Exploring Operation: 21-19=2, Resulting Numbers: [67, 2]
Generated Node #0,0,2: 65:[67, 2] Operation: 21-19=2
Moving to Node #0,0,2
Current State: 65:[67, 2], Operations: ['40-19=21', '21-19=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.952257 | hs_5 | mult_heuristic |
[
33,
72,
83,
8
] | 55 | [
"83-72=11",
"8*11=88",
"88-33=55"
] | Current State: 55:[33, 72, 83, 8], Operations: []
Exploring Operation: 83-72=11, Resulting Numbers: [33, 8, 11]
Generated Node #2: [33, 8, 11] from Operation: 83-72=11
Current State: 55:[33, 8, 11], Operations: ['83-72=11']
Exploring Operation: 8*11=88, Resulting Numbers: [33, 88]
Generated Node #3: [33, 88] from Operation: 8*11=88
Current State: 55:[33, 88], Operations: ['83-72=11', '8*11=88']
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[33, 72, 83, 8], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [33, 83, 9]
Generated Node #0,0: 55:[33, 83, 9] Operation: 72/8=9
Exploring Operation: 72-33=39, Resulting Numbers: [83, 8, 39]
Generated Node #0,1: 55:[83, 8, 39] Operation: 72-33=39
Exploring Operation: 83-33=50, Resulting Numbers: [72, 8, 50]
Generated Node #0,2: 55:[72, 8, 50] Operation: 83-33=50
Exploring Operation: 83-72=11, Resulting Numbers: [33, 8, 11]
Generated Node #0,3: 55:[33, 8, 11] Operation: 83-72=11
Moving to Node #0,2
Current State: 55:[72, 8, 50], Operations: ['83-33=50']
Exploring Operation: 72-50=22, Resulting Numbers: [8, 22]
Generated Node #0,2,0: 55:[8, 22] Operation: 72-50=22
Exploring Operation: 72/8=9, Resulting Numbers: [50, 9]
Generated Node #0,2,1: 55:[50, 9] Operation: 72/8=9
Exploring Operation: 8+50=58, Resulting Numbers: [72, 58]
Generated Node #0,2,2: 55:[72, 58] Operation: 8+50=58
Exploring Operation: 72-8=64, Resulting Numbers: [50, 64]
Generated Node #0,2,3: 55:[50, 64] Operation: 72-8=64
Moving to Node #0,3
Current State: 55:[33, 8, 11], Operations: ['83-72=11']
Exploring Operation: 33/11=3, Resulting Numbers: [8, 3]
Generated Node #0,3,0: 55:[8, 3] Operation: 33/11=3
Exploring Operation: 33+8=41, Resulting Numbers: [11, 41]
Generated Node #0,3,1: 55:[11, 41] Operation: 33+8=41
Exploring Operation: 33-8=25, Resulting Numbers: [11, 25]
Generated Node #0,3,2: 55:[11, 25] Operation: 33-8=25
Exploring Operation: 33+11=44, Resulting Numbers: [8, 44]
Generated Node #0,3,3: 55:[8, 44] Operation: 33+11=44
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 55:[8, 3], Operations: ['83-72=11', '33/11=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,55 unequal: No Solution
No 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: 55:[11, 41], Operations: ['83-72=11', '33+8=41']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,55 unequal: No Solution
No 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: 55:[11, 25], Operations: ['83-72=11', '33-8=25']
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,55 unequal: No Solution
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,55 unequal: No Solution
No 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: 55:[8, 44], Operations: ['83-72=11', '33+11=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,55 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: 55:[83, 8, 39], Operations: ['72-33=39']
Exploring Operation: 83-8=75, Resulting Numbers: [39, 75]
Generated Node #0,1,0: 55:[39, 75] Operation: 83-8=75
Exploring Operation: 8+39=47, Resulting Numbers: [83, 47]
Generated Node #0,1,1: 55:[83, 47] Operation: 8+39=47
Exploring Operation: 39-8=31, Resulting Numbers: [83, 31]
Generated Node #0,1,2: 55:[83, 31] Operation: 39-8=31
Exploring Operation: 83-39=44, Resulting Numbers: [8, 44]
Generated Node #0,1,3: 55:[8, 44] Operation: 83-39=44
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 55:[8, 44], Operations: ['72-33=39', '83-39=44']
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,55 unequal: No Solution
No 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: 55:[39, 75], Operations: ['72-33=39', '83-8=75']
Exploring Operation: 39*75=2925, Resulting Numbers: [2925]
2925,55 unequal: No Solution
Exploring Operation: 75-39=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 39+75=114, Resulting Numbers: [114]
114,55 unequal: No Solution
No 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: 55:[83, 47], Operations: ['72-33=39', '8+39=47']
Exploring Operation: 83+47=130, Resulting Numbers: [130]
130,55 unequal: No Solution
Exploring Operation: 83-47=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 83*47=3901, Resulting Numbers: [3901]
3901,55 unequal: No Solution
No 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: 55:[83, 31], Operations: ['72-33=39', '39-8=31']
Exploring Operation: 83+31=114, Resulting Numbers: [114]
114,55 unequal: No Solution
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Exploring Operation: 83*31=2573, Resulting Numbers: [2573]
2573,55 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: 55:[33, 83, 9], Operations: ['72/8=9']
Exploring Operation: 33-9=24, Resulting Numbers: [83, 24]
Generated Node #0,0,0: 55:[83, 24] Operation: 33-9=24
Exploring Operation: 83-33=50, Resulting Numbers: [9, 50]
Generated Node #0,0,1: 55:[9, 50] Operation: 83-33=50
Exploring Operation: 33+9=42, Resulting Numbers: [83, 42]
Generated Node #0,0,2: 55:[83, 42] Operation: 33+9=42
Exploring Operation: 83-9=74, Resulting Numbers: [33, 74]
Generated Node #0,0,3: 55:[33, 74] Operation: 83-9=74
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[9, 50], Operations: ['72/8=9', '83-33=50']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 9*50=450, Resulting Numbers: [450]
450,55 unequal: No Solution
No 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: 55:[83, 24], Operations: ['72/8=9', '33-9=24']
Exploring Operation: 83*24=1992, Resulting Numbers: [1992]
1992,55 unequal: No Solution
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 83+24=107, Resulting Numbers: [107]
107,55 unequal: No Solution
No 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: 55:[83, 42], Operations: ['72/8=9', '33+9=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 83+42=125, Resulting Numbers: [125]
125,55 unequal: No Solution
Exploring Operation: 83*42=3486, Resulting Numbers: [3486]
3486,55 unequal: No Solution
No 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: 55:[33, 74], Operations: ['72/8=9', '83-9=74']
Exploring Operation: 33*74=2442, Resulting Numbers: [2442]
2442,55 unequal: No Solution
Exploring Operation: 33+74=107, Resulting Numbers: [107]
107,55 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,55 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: 55:[50, 9], Operations: ['83-33=50', '72/8=9']
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,55 unequal: No Solution
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[50, 64], Operations: ['83-33=50', '72-8=64']
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 50+64=114, Resulting Numbers: [114]
114,55 unequal: No Solution
Exploring Operation: 50*64=3200, Resulting Numbers: [3200]
3200,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[8, 22], Operations: ['83-33=50', '72-50=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[72, 58], Operations: ['83-33=50', '8+50=58']
Exploring Operation: 72+58=130, Resulting Numbers: [130]
130,55 unequal: No Solution
Exploring Operation: 72*58=4176, Resulting Numbers: [4176]
4176,55 unequal: No Solution
Exploring Operation: 72-58=14, Resulting Numbers: [14]
14,55 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
23,
17,
65,
52
] | 68 | [
"17+52=69",
"69/23=3",
"65+3=68"
] | Current State: 68:[23, 17, 65, 52], Operations: []
Exploring Operation: 17+52=69, Resulting Numbers: [23, 65, 69]
Generated Node #2: [23, 65, 69] from Operation: 17+52=69
Current State: 68:[23, 65, 69], Operations: ['17+52=69']
Exploring Operation: 69/23=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 69/23=3
Current State: 68:[65, 3], Operations: ['17+52=69', '69/23=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[23, 17, 65, 52], Operations: []
Exploring Operation: 23+52=75, Resulting Numbers: [17, 65, 75]
Generated Node #0,0: 68:[17, 65, 75] Operation: 23+52=75
Exploring Operation: 17+52=69, Resulting Numbers: [23, 65, 69]
Generated Node #0,1: 68:[23, 65, 69] Operation: 17+52=69
Exploring Operation: 52-23=29, Resulting Numbers: [17, 65, 29]
Generated Node #0,2: 68:[17, 65, 29] Operation: 52-23=29
Moving to Node #0,2
Current State: 68:[17, 65, 29], Operations: ['52-23=29']
Exploring Operation: 65-29=36, Resulting Numbers: [17, 36]
Generated Node #0,2,0: 68:[17, 36] Operation: 65-29=36
Exploring Operation: 29-17=12, Resulting Numbers: [65, 12]
Generated Node #0,2,1: 68:[65, 12] Operation: 29-17=12
Exploring Operation: 17+29=46, Resulting Numbers: [65, 46]
Generated Node #0,2,2: 68:[65, 46] Operation: 17+29=46
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 68:[17, 36], Operations: ['52-23=29', '65-29=36']
Exploring Operation: 17*36=612, Resulting Numbers: [612]
612,68 unequal: No Solution
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 68:[65, 12], Operations: ['52-23=29', '29-17=12']
Exploring Operation: 65*12=780, Resulting Numbers: [780]
780,68 unequal: No Solution
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,68 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 68:[65, 46], Operations: ['52-23=29', '17+29=46']
Exploring Operation: 65+46=111, Resulting Numbers: [111]
111,68 unequal: No Solution
Exploring Operation: 65*46=2990, Resulting Numbers: [2990]
2990,68 unequal: No Solution
Exploring Operation: 65-46=19, Resulting Numbers: [19]
19,68 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: 68:[17, 65, 75], Operations: ['23+52=75']
Exploring Operation: 75-65=10, Resulting Numbers: [17, 10]
Generated Node #0,0,0: 68:[17, 10] Operation: 75-65=10
Exploring Operation: 75-17=58, Resulting Numbers: [65, 58]
Generated Node #0,0,1: 68:[65, 58] Operation: 75-17=58
Exploring Operation: 17+65=82, Resulting Numbers: [75, 82]
Generated Node #0,0,2: 68:[75, 82] Operation: 17+65=82
Moving to Node #0,1
Current State: 68:[23, 65, 69], Operations: ['17+52=69']
Exploring Operation: 69/23=3, Resulting Numbers: [65, 3]
Generated Node #0,1,0: 68:[65, 3] Operation: 69/23=3
Exploring Operation: 65-23=42, Resulting Numbers: [69, 42]
Generated Node #0,1,1: 68:[69, 42] Operation: 65-23=42
Exploring Operation: 69-65=4, Resulting Numbers: [23, 4]
Generated Node #0,1,2: 68:[23, 4] Operation: 69-65=4
Moving to Node #0,1,0
Current State: 68:[65, 3], Operations: ['17+52=69', '69/23=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,68 unequal: No Solution
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[23, 17, 65, 52], Operations: []
Exploring Operation: 17+52=69, Resulting Numbers: [23, 65, 69]
Generated Node #0,1: 68:[23, 65, 69] Operation: 17+52=69
Moving to Node #0,1
Current State: 68:[23, 65, 69], Operations: ['17+52=69']
Exploring Operation: 69/23=3, Resulting Numbers: [65, 3]
Generated Node #0,1,0: 68:[65, 3] Operation: 69/23=3
Moving to Node #0,1,0
Current State: 68:[65, 3], Operations: ['17+52=69', '69/23=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.975694 | hs_3 | mult_heuristic |
[
10,
42,
88,
68
] | 55 | [
"42+88=130",
"130/10=13",
"68-13=55"
] | Current State: 55:[10, 42, 88, 68], Operations: []
Exploring Operation: 42+88=130, Resulting Numbers: [10, 68, 130]
Generated Node #2: [10, 68, 130] from Operation: 42+88=130
Current State: 55:[10, 68, 130], Operations: ['42+88=130']
Exploring Operation: 130/10=13, Resulting Numbers: [68, 13]
Generated Node #3: [68, 13] from Operation: 130/10=13
Current State: 55:[68, 13], Operations: ['42+88=130', '130/10=13']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[10, 42, 88, 68], Operations: []
Exploring Operation: 88-42=46, Resulting Numbers: [10, 68, 46]
Generated Node #0,0: 55:[10, 68, 46] Operation: 88-42=46
Moving to Node #0,0
Current State: 55:[10, 68, 46], Operations: ['88-42=46']
Exploring Operation: 68-10=58, Resulting Numbers: [46, 58]
Generated Node #0,0,0: 55:[46, 58] Operation: 68-10=58
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[46, 58], Operations: ['88-42=46', '68-10=58']
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,55 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 |
[
9,
34,
2,
52
] | 17 | [
"9+34=43",
"52/2=26",
"43-26=17"
] | Current State: 17:[9, 34, 2, 52], Operations: []
Exploring Operation: 9+34=43, Resulting Numbers: [2, 52, 43]
Generated Node #2: [2, 52, 43] from Operation: 9+34=43
Current State: 17:[2, 52, 43], Operations: ['9+34=43']
Exploring Operation: 52/2=26, Resulting Numbers: [43, 26]
Generated Node #3: [43, 26] from Operation: 52/2=26
Current State: 17:[43, 26], Operations: ['9+34=43', '52/2=26']
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[9, 34, 2, 52], Operations: []
Exploring Operation: 9*2=18, Resulting Numbers: [34, 52, 18]
Generated Node #0,0: 17:[34, 52, 18] Operation: 9*2=18
Exploring Operation: 52-34=18, Resulting Numbers: [9, 2, 18]
Generated Node #0,1: 17:[9, 2, 18] Operation: 52-34=18
Exploring Operation: 34/2=17, Resulting Numbers: [9, 52, 17]
Generated Node #0,2: 17:[9, 52, 17] Operation: 34/2=17
Exploring Operation: 52/2=26, Resulting Numbers: [9, 34, 26]
Generated Node #0,3: 17:[9, 34, 26] Operation: 52/2=26
Moving to Node #0,1
Current State: 17:[9, 2, 18], Operations: ['52-34=18']
Exploring Operation: 9-2=7, Resulting Numbers: [18, 7]
Generated Node #0,1,0: 17:[18, 7] Operation: 9-2=7
Exploring Operation: 18-2=16, Resulting Numbers: [9, 16]
Generated Node #0,1,1: 17:[9, 16] Operation: 18-2=16
Exploring Operation: 9+2=11, Resulting Numbers: [18, 11]
Generated Node #0,1,2: 17:[18, 11] Operation: 9+2=11
Exploring Operation: 9*2=18, Resulting Numbers: [18, 18]
Generated Node #0,1,3: 17:[18, 18] Operation: 9*2=18
Moving to Node #0,3
Current State: 17:[9, 34, 26], Operations: ['52/2=26']
Exploring Operation: 26-9=17, Resulting Numbers: [34, 17]
Generated Node #0,3,0: 17:[34, 17] Operation: 26-9=17
Exploring Operation: 34-26=8, Resulting Numbers: [9, 8]
Generated Node #0,3,1: 17:[9, 8] Operation: 34-26=8
Exploring Operation: 9+34=43, Resulting Numbers: [26, 43]
Generated Node #0,3,2: 17:[26, 43] Operation: 9+34=43
Exploring Operation: 34-9=25, Resulting Numbers: [26, 25]
Generated Node #0,3,3: 17:[26, 25] Operation: 34-9=25
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 17:[34, 17], Operations: ['52/2=26', '26-9=17']
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[9, 34, 2, 52], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [9, 34, 26]
Generated Node #0,3: 17:[9, 34, 26] Operation: 52/2=26
Moving to Node #0,3
Current State: 17:[9, 34, 26], Operations: ['52/2=26']
Exploring Operation: 26-9=17, Resulting Numbers: [34, 17]
Generated Node #0,3,0: 17:[34, 17] Operation: 26-9=17
Moving to Node #0,3,0
Current State: 17:[34, 17], Operations: ['52/2=26', '26-9=17']
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
1,
4,
70,
95
] | 20 | [
"1+4=5",
"95-70=25",
"25-5=20"
] | Current State: 20:[1, 4, 70, 95], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [70, 95, 5]
Generated Node #2: [70, 95, 5] from Operation: 1+4=5
Current State: 20:[70, 95, 5], Operations: ['1+4=5']
Exploring Operation: 95-70=25, Resulting Numbers: [5, 25]
Generated Node #3: [5, 25] from Operation: 95-70=25
Current State: 20:[5, 25], Operations: ['1+4=5', '95-70=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[1, 4, 70, 95], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [1, 4, 25]
Generated Node #0,0: 20:[1, 4, 25] Operation: 95-70=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[1, 4, 25], Operations: ['95-70=25']
Exploring Operation: 25-4=21, Resulting Numbers: [1, 21]
Generated Node #0,0,0: 20:[1, 21] Operation: 25-4=21
Moving to Node #0,0,0
Current State: 20:[1, 21], Operations: ['95-70=25', '25-4=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[1, 4, 70, 95], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [1, 4, 25]
Generated Node #0,0: 20:[1, 4, 25] Operation: 95-70=25
Moving to Node #0,0
Current State: 20:[1, 4, 25], Operations: ['95-70=25']
Exploring Operation: 25-4=21, Resulting Numbers: [1, 21]
Generated Node #0,0,0: 20:[1, 21] Operation: 25-4=21
Moving to Node #0,0,0
Current State: 20:[1, 21], Operations: ['95-70=25', '25-4=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
40,
5,
56,
44
] | 100 | [
"40*5=200",
"56+44=100",
"200-100=100"
] | Current State: 100:[40, 5, 56, 44], Operations: []
Exploring Operation: 40*5=200, Resulting Numbers: [56, 44, 200]
Generated Node #2: [56, 44, 200] from Operation: 40*5=200
Current State: 100:[56, 44, 200], Operations: ['40*5=200']
Exploring Operation: 56+44=100, Resulting Numbers: [200, 100]
Generated Node #3: [200, 100] from Operation: 56+44=100
Current State: 100:[200, 100], Operations: ['40*5=200', '56+44=100']
Exploring Operation: 200-100=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[40, 5, 56, 44], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [5, 56, 4]
Generated Node #0,0: 100:[5, 56, 4] Operation: 44-40=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[5, 56, 4], Operations: ['44-40=4']
Exploring Operation: 56-5=51, Resulting Numbers: [4, 51]
Generated Node #0,0,0: 100:[4, 51] Operation: 56-5=51
Moving to Node #0,0,0
Current State: 100:[4, 51], Operations: ['44-40=4', '56-5=51']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,100 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 |
[
91,
83,
47,
97
] | 42 | [
"91-83=8",
"97-47=50",
"50-8=42"
] | Current State: 42:[91, 83, 47, 97], Operations: []
Exploring Operation: 91-83=8, Resulting Numbers: [47, 97, 8]
Generated Node #2: [47, 97, 8] from Operation: 91-83=8
Current State: 42:[47, 97, 8], Operations: ['91-83=8']
Exploring Operation: 97-47=50, Resulting Numbers: [8, 50]
Generated Node #3: [8, 50] from Operation: 97-47=50
Current State: 42:[8, 50], Operations: ['91-83=8', '97-47=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[91, 83, 47, 97], Operations: []
Exploring Operation: 97-47=50, Resulting Numbers: [91, 83, 50]
Generated Node #0,0: 42:[91, 83, 50] Operation: 97-47=50
Exploring Operation: 91-83=8, Resulting Numbers: [47, 97, 8]
Generated Node #0,1: 42:[47, 97, 8] Operation: 91-83=8
Exploring Operation: 91-47=44, Resulting Numbers: [83, 97, 44]
Generated Node #0,2: 42:[83, 97, 44] Operation: 91-47=44
Exploring Operation: 97-83=14, Resulting Numbers: [91, 47, 14]
Generated Node #0,3: 42:[91, 47, 14] Operation: 97-83=14
Exploring Operation: 97-91=6, Resulting Numbers: [83, 47, 6]
Generated Node #0,4: 42:[83, 47, 6] Operation: 97-91=6
Start Sub Search at level 1: Moving to Node #0,4
Current State: 42:[83, 47, 6], Operations: ['97-91=6']
Exploring Operation: 47-6=41, Resulting Numbers: [83, 41]
Generated Node #0,4,0: 42:[83, 41] Operation: 47-6=41
Exploring Operation: 83-6=77, Resulting Numbers: [47, 77]
Generated Node #0,4,1: 42:[47, 77] Operation: 83-6=77
Exploring Operation: 83+6=89, Resulting Numbers: [47, 89]
Generated Node #0,4,2: 42:[47, 89] Operation: 83+6=89
Exploring Operation: 47+6=53, Resulting Numbers: [83, 53]
Generated Node #0,4,3: 42:[83, 53] Operation: 47+6=53
Exploring Operation: 83-47=36, Resulting Numbers: [6, 36]
Generated Node #0,4,4: 42:[6, 36] Operation: 83-47=36
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 42:[6, 36], Operations: ['97-91=6', '83-47=36']
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[91, 83, 47, 97], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [83, 47, 6]
Generated Node #0,4: 42:[83, 47, 6] Operation: 97-91=6
Moving to Node #0,4
Current State: 42:[83, 47, 6], Operations: ['97-91=6']
Exploring Operation: 83-47=36, Resulting Numbers: [6, 36]
Generated Node #0,4,4: 42:[6, 36] Operation: 83-47=36
Moving to Node #0,4,4
Current State: 42:[6, 36], Operations: ['97-91=6', '83-47=36']
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
54,
80,
10,
2
] | 43 | [
"54/2=27",
"80-10=70",
"70-27=43"
] | Current State: 43:[54, 80, 10, 2], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [80, 10, 27]
Generated Node #2: [80, 10, 27] from Operation: 54/2=27
Current State: 43:[80, 10, 27], Operations: ['54/2=27']
Exploring Operation: 80-10=70, Resulting Numbers: [27, 70]
Generated Node #3: [27, 70] from Operation: 80-10=70
Current State: 43:[27, 70], Operations: ['54/2=27', '80-10=70']
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[54, 80, 10, 2], Operations: []
Exploring Operation: 54-10=44, Resulting Numbers: [80, 2, 44]
Generated Node #0,0: 43:[80, 2, 44] Operation: 54-10=44
Exploring Operation: 10*2=20, Resulting Numbers: [54, 80, 20]
Generated Node #0,1: 43:[54, 80, 20] Operation: 10*2=20
Exploring Operation: 54-2=52, Resulting Numbers: [80, 10, 52]
Generated Node #0,2: 43:[80, 10, 52] Operation: 54-2=52
Exploring Operation: 80/2=40, Resulting Numbers: [54, 10, 40]
Generated Node #0,3: 43:[54, 10, 40] Operation: 80/2=40
Start Sub Search at level 1: Moving to Node #0,3
Current State: 43:[54, 10, 40], Operations: ['80/2=40']
Exploring Operation: 40-10=30, Resulting Numbers: [54, 30]
Generated Node #0,3,0: 43:[54, 30] Operation: 40-10=30
Exploring Operation: 10+40=50, Resulting Numbers: [54, 50]
Generated Node #0,3,1: 43:[54, 50] Operation: 10+40=50
Exploring Operation: 54+10=64, Resulting Numbers: [40, 64]
Generated Node #0,3,2: 43:[40, 64] Operation: 54+10=64
Exploring Operation: 54-10=44, Resulting Numbers: [40, 44]
Generated Node #0,3,3: 43:[40, 44] Operation: 54-10=44
Moving to Node #0,3,3
Current State: 43:[40, 44], Operations: ['80/2=40', '54-10=44']
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,43 unequal: No Solution
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,43 unequal: No Solution
Moving to Node #0,3,1
Current State: 43:[54, 50], Operations: ['80/2=40', '10+40=50']
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 54+50=104, Resulting Numbers: [104]
104,43 unequal: No Solution
Exploring Operation: 54*50=2700, Resulting Numbers: [2700]
2700,43 unequal: No Solution
Moving to Node #0,3,2
Current State: 43:[40, 64], Operations: ['80/2=40', '54+10=64']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,43 unequal: No Solution
Exploring Operation: 40+64=104, Resulting Numbers: [104]
104,43 unequal: No Solution
Exploring Operation: 40*64=2560, Resulting Numbers: [2560]
2560,43 unequal: No Solution
Moving to Node #0,3,0
Current State: 43:[54, 30], Operations: ['80/2=40', '40-10=30']
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,43 unequal: No Solution
Exploring Operation: 54*30=1620, Resulting Numbers: [1620]
1620,43 unequal: No Solution
Exploring Operation: 54+30=84, Resulting Numbers: [84]
84,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[54, 80, 20], Operations: ['10*2=20']
Exploring Operation: 54-20=34, Resulting Numbers: [80, 34]
Generated Node #0,1,0: 43:[80, 34] Operation: 54-20=34
Exploring Operation: 80-54=26, Resulting Numbers: [20, 26]
Generated Node #0,1,1: 43:[20, 26] Operation: 80-54=26
Exploring Operation: 80-20=60, Resulting Numbers: [54, 60]
Generated Node #0,1,2: 43:[54, 60] Operation: 80-20=60
Exploring Operation: 80/20=4, Resulting Numbers: [54, 4]
Generated Node #0,1,3: 43:[54, 4] Operation: 80/20=4
Moving to Node #0,1,2
Current State: 43:[54, 60], Operations: ['10*2=20', '80-20=60']
Exploring Operation: 54+60=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 60-54=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 54*60=3240, Resulting Numbers: [3240]
3240,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[20, 26], Operations: ['10*2=20', '80-54=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,43 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[80, 34], Operations: ['10*2=20', '54-20=34']
Exploring Operation: 80+34=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Exploring Operation: 80*34=2720, Resulting Numbers: [2720]
2720,43 unequal: No Solution
Moving to Node #0,1,3
Current State: 43:[54, 4], Operations: ['10*2=20', '80/20=4']
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,43 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,43 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[80, 2, 44], Operations: ['54-10=44']
Exploring Operation: 80+2=82, Resulting Numbers: [44, 82]
Generated Node #0,0,0: 43:[44, 82] Operation: 80+2=82
Exploring Operation: 44-2=42, Resulting Numbers: [80, 42]
Generated Node #0,0,1: 43:[80, 42] Operation: 44-2=42
Exploring Operation: 80/2=40, Resulting Numbers: [44, 40]
Generated Node #0,0,2: 43:[44, 40] Operation: 80/2=40
Exploring Operation: 80-2=78, Resulting Numbers: [44, 78]
Generated Node #0,0,3: 43:[44, 78] Operation: 80-2=78
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 43:[44, 40], Operations: ['54-10=44', '80/2=40']
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,43 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,43 unequal: No Solution
No 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: 43:[44, 78], Operations: ['54-10=44', '80-2=78']
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,43 unequal: No Solution
Exploring Operation: 44+78=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 44*78=3432, Resulting Numbers: [3432]
3432,43 unequal: No Solution
No 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: 43:[80, 42], Operations: ['54-10=44', '44-2=42']
Exploring Operation: 80+42=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 80*42=3360, Resulting Numbers: [3360]
3360,43 unequal: No Solution
No 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: 43:[44, 82], Operations: ['54-10=44', '80+2=82']
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 44*82=3608, Resulting Numbers: [3608]
3608,43 unequal: No Solution
Exploring Operation: 44+82=126, Resulting Numbers: [126]
126,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[80, 10, 52], Operations: ['54-2=52']
Exploring Operation: 80/10=8, Resulting Numbers: [52, 8]
Generated Node #0,2,0: 43:[52, 8] Operation: 80/10=8
Exploring Operation: 52-10=42, Resulting Numbers: [80, 42]
Generated Node #0,2,1: 43:[80, 42] Operation: 52-10=42
Exploring Operation: 80-52=28, Resulting Numbers: [10, 28]
Generated Node #0,2,2: 43:[10, 28] Operation: 80-52=28
Exploring Operation: 80-10=70, Resulting Numbers: [52, 70]
Generated Node #0,2,3: 43:[52, 70] Operation: 80-10=70
Moving to Node #0,2,3
Current State: 43:[52, 70], Operations: ['54-2=52', '80-10=70']
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Exploring Operation: 52*70=3640, Resulting Numbers: [3640]
3640,43 unequal: No Solution
Exploring Operation: 52+70=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[80, 42], Operations: ['54-2=52', '52-10=42']
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 80+42=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 80*42=3360, Resulting Numbers: [3360]
3360,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[52, 8], Operations: ['54-2=52', '80/10=8']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,43 unequal: No Solution
Exploring Operation: 52*8=416, Resulting Numbers: [416]
416,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[10, 28], Operations: ['54-2=52', '80-52=28']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,43 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 |
[
29,
88,
85,
26
] | 52 | [
"88-29=59",
"85+26=111",
"111-59=52"
] | Current State: 52:[29, 88, 85, 26], Operations: []
Exploring Operation: 88-29=59, Resulting Numbers: [85, 26, 59]
Generated Node #2: [85, 26, 59] from Operation: 88-29=59
Current State: 52:[85, 26, 59], Operations: ['88-29=59']
Exploring Operation: 85+26=111, Resulting Numbers: [59, 111]
Generated Node #3: [59, 111] from Operation: 85+26=111
Current State: 52:[59, 111], Operations: ['88-29=59', '85+26=111']
Exploring Operation: 111-59=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[29, 88, 85, 26], Operations: []
Exploring Operation: 88-29=59, Resulting Numbers: [85, 26, 59]
Generated Node #0,0: 52:[85, 26, 59] Operation: 88-29=59
Exploring Operation: 88-85=3, Resulting Numbers: [29, 26, 3]
Generated Node #0,1: 52:[29, 26, 3] Operation: 88-85=3
Exploring Operation: 85-29=56, Resulting Numbers: [88, 26, 56]
Generated Node #0,2: 52:[88, 26, 56] Operation: 85-29=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[29, 26, 3], Operations: ['88-85=3']
Exploring Operation: 29+26=55, Resulting Numbers: [3, 55]
Generated Node #0,1,0: 52:[3, 55] Operation: 29+26=55
Exploring Operation: 29-26=3, Resulting Numbers: [3, 3]
Generated Node #0,1,1: 52:[3, 3] Operation: 29-26=3
Exploring Operation: 29-3=26, Resulting Numbers: [26, 26]
Generated Node #0,1,2: 52:[26, 26] Operation: 29-3=26
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 52:[26, 26], Operations: ['88-85=3', '29-3=26']
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[29, 88, 85, 26], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [29, 26, 3]
Generated Node #0,1: 52:[29, 26, 3] Operation: 88-85=3
Moving to Node #0,1
Current State: 52:[29, 26, 3], Operations: ['88-85=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26, 26]
Generated Node #0,1,2: 52:[26, 26] Operation: 29-3=26
Moving to Node #0,1,2
Current State: 52:[26, 26], Operations: ['88-85=3', '29-3=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
93,
34,
8,
75
] | 44 | [
"93+34=127",
"8+75=83",
"127-83=44"
] | Current State: 44:[93, 34, 8, 75], Operations: []
Exploring Operation: 93+34=127, Resulting Numbers: [8, 75, 127]
Generated Node #2: [8, 75, 127] from Operation: 93+34=127
Current State: 44:[8, 75, 127], Operations: ['93+34=127']
Exploring Operation: 8+75=83, Resulting Numbers: [127, 83]
Generated Node #3: [127, 83] from Operation: 8+75=83
Current State: 44:[127, 83], Operations: ['93+34=127', '8+75=83']
Exploring Operation: 127-83=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[93, 34, 8, 75], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [34, 8, 18]
Generated Node #0,0: 44:[34, 8, 18] Operation: 93-75=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[34, 8, 18], Operations: ['93-75=18']
Exploring Operation: 34+8=42, Resulting Numbers: [18, 42]
Generated Node #0,0,0: 44:[18, 42] Operation: 34+8=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[18, 42], Operations: ['93-75=18', '34+8=42']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
84,
51,
63,
77
] | 57 | [
"77-63=14",
"84/14=6",
"51+6=57"
] | Current State: 57:[84, 51, 63, 77], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [84, 51, 14]
Generated Node #2: [84, 51, 14] from Operation: 77-63=14
Current State: 57:[84, 51, 14], Operations: ['77-63=14']
Exploring Operation: 84/14=6, Resulting Numbers: [51, 6]
Generated Node #3: [51, 6] from Operation: 84/14=6
Current State: 57:[51, 6], Operations: ['77-63=14', '84/14=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[84, 51, 63, 77], Operations: []
Exploring Operation: 84-51=33, Resulting Numbers: [63, 77, 33]
Generated Node #0,0: 57:[63, 77, 33] Operation: 84-51=33
Exploring Operation: 84-77=7, Resulting Numbers: [51, 63, 7]
Generated Node #0,1: 57:[51, 63, 7] Operation: 84-77=7
Exploring Operation: 77-51=26, Resulting Numbers: [84, 63, 26]
Generated Node #0,2: 57:[84, 63, 26] Operation: 77-51=26
Exploring Operation: 77-63=14, Resulting Numbers: [84, 51, 14]
Generated Node #0,3: 57:[84, 51, 14] Operation: 77-63=14
Exploring Operation: 84-63=21, Resulting Numbers: [51, 77, 21]
Generated Node #0,4: 57:[51, 77, 21] Operation: 84-63=21
Moving to Node #0,1
Current State: 57:[51, 63, 7], Operations: ['84-77=7']
Exploring Operation: 51+7=58, Resulting Numbers: [63, 58]
Generated Node #0,1,0: 57:[63, 58] Operation: 51+7=58
Exploring Operation: 63/7=9, Resulting Numbers: [51, 9]
Generated Node #0,1,1: 57:[51, 9] Operation: 63/7=9
Exploring Operation: 51-7=44, Resulting Numbers: [63, 44]
Generated Node #0,1,2: 57:[63, 44] Operation: 51-7=44
Exploring Operation: 63-7=56, Resulting Numbers: [51, 56]
Generated Node #0,1,3: 57:[51, 56] Operation: 63-7=56
Exploring Operation: 63-51=12, Resulting Numbers: [7, 12]
Generated Node #0,1,4: 57:[7, 12] Operation: 63-51=12
Moving to Node #0,4
Current State: 57:[51, 77, 21], Operations: ['84-63=21']
Exploring Operation: 77+21=98, Resulting Numbers: [51, 98]
Generated Node #0,4,0: 57:[51, 98] Operation: 77+21=98
Exploring Operation: 51+21=72, Resulting Numbers: [77, 72]
Generated Node #0,4,1: 57:[77, 72] Operation: 51+21=72
Exploring Operation: 77-51=26, Resulting Numbers: [21, 26]
Generated Node #0,4,2: 57:[21, 26] Operation: 77-51=26
Exploring Operation: 77-21=56, Resulting Numbers: [51, 56]
Generated Node #0,4,3: 57:[51, 56] Operation: 77-21=56
Exploring Operation: 51-21=30, Resulting Numbers: [77, 30]
Generated Node #0,4,4: 57:[77, 30] Operation: 51-21=30
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 57:[51, 56], Operations: ['84-63=21', '77-21=56']
Exploring Operation: 51*56=2856, Resulting Numbers: [2856]
2856,57 unequal: No Solution
Exploring Operation: 51+56=107, Resulting Numbers: [107]
107,57 unequal: No Solution
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,57 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 #0,4,2
Current State: 57:[21, 26], Operations: ['84-63=21', '77-51=26']
Exploring Operation: 21*26=546, Resulting Numbers: [546]
546,57 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,57 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 #0,4,4
Current State: 57:[77, 30], Operations: ['84-63=21', '51-21=30']
Exploring Operation: 77*30=2310, Resulting Numbers: [2310]
2310,57 unequal: No Solution
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,57 unequal: No Solution
Exploring Operation: 77+30=107, Resulting Numbers: [107]
107,57 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 #0,4,1
Current State: 57:[77, 72], Operations: ['84-63=21', '51+21=72']
Exploring Operation: 77-72=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 77+72=149, Resulting Numbers: [149]
149,57 unequal: No Solution
Exploring Operation: 77*72=5544, Resulting Numbers: [5544]
5544,57 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 #0,4,0
Current State: 57:[51, 98], Operations: ['84-63=21', '77+21=98']
Exploring Operation: 51+98=149, Resulting Numbers: [149]
149,57 unequal: No Solution
Exploring Operation: 98-51=47, Resulting Numbers: [47]
47,57 unequal: No Solution
Exploring Operation: 51*98=4998, Resulting Numbers: [4998]
4998,57 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: 57:[84, 51, 14], Operations: ['77-63=14']
Exploring Operation: 51-14=37, Resulting Numbers: [84, 37]
Generated Node #0,3,0: 57:[84, 37] Operation: 51-14=37
Exploring Operation: 51+14=65, Resulting Numbers: [84, 65]
Generated Node #0,3,1: 57:[84, 65] Operation: 51+14=65
Exploring Operation: 84-51=33, Resulting Numbers: [14, 33]
Generated Node #0,3,2: 57:[14, 33] Operation: 84-51=33
Exploring Operation: 84-14=70, Resulting Numbers: [51, 70]
Generated Node #0,3,3: 57:[51, 70] Operation: 84-14=70
Exploring Operation: 84/14=6, Resulting Numbers: [51, 6]
Generated Node #0,3,4: 57:[51, 6] Operation: 84/14=6
Moving to Node #0,0
Current State: 57:[63, 77, 33], Operations: ['84-51=33']
Exploring Operation: 77-33=44, Resulting Numbers: [63, 44]
Generated Node #0,0,0: 57:[63, 44] Operation: 77-33=44
Exploring Operation: 63-33=30, Resulting Numbers: [77, 30]
Generated Node #0,0,1: 57:[77, 30] Operation: 63-33=30
Exploring Operation: 77-63=14, Resulting Numbers: [33, 14]
Generated Node #0,0,2: 57:[33, 14] Operation: 77-63=14
Exploring Operation: 77+33=110, Resulting Numbers: [63, 110]
Generated Node #0,0,3: 57:[63, 110] Operation: 77+33=110
Exploring Operation: 63+33=96, Resulting Numbers: [77, 96]
Generated Node #0,0,4: 57:[77, 96] Operation: 63+33=96
Moving to Node #0,2
Current State: 57:[84, 63, 26], Operations: ['77-51=26']
Exploring Operation: 84-63=21, Resulting Numbers: [26, 21]
Generated Node #0,2,0: 57:[26, 21] Operation: 84-63=21
Exploring Operation: 84-26=58, Resulting Numbers: [63, 58]
Generated Node #0,2,1: 57:[63, 58] Operation: 84-26=58
Exploring Operation: 63+26=89, Resulting Numbers: [84, 89]
Generated Node #0,2,2: 57:[84, 89] Operation: 63+26=89
Exploring Operation: 63-26=37, Resulting Numbers: [84, 37]
Generated Node #0,2,3: 57:[84, 37] Operation: 63-26=37
Exploring Operation: 84+26=110, Resulting Numbers: [63, 110]
Generated Node #0,2,4: 57:[63, 110] Operation: 84+26=110
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 57:[63, 58], Operations: ['77-51=26', '84-26=58']
Exploring Operation: 63+58=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Exploring Operation: 63*58=3654, Resulting Numbers: [3654]
3654,57 unequal: No Solution
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[26, 21], Operations: ['77-51=26', '84-63=21']
Exploring Operation: 26+21=47, Resulting Numbers: [47]
47,57 unequal: No Solution
Exploring Operation: 26*21=546, Resulting Numbers: [546]
546,57 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 57:[84, 37], Operations: ['77-51=26', '63-26=37']
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,57 unequal: No Solution
Exploring Operation: 84*37=3108, Resulting Numbers: [3108]
3108,57 unequal: No Solution
Exploring Operation: 84+37=121, Resulting Numbers: [121]
121,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[84, 89], Operations: ['77-51=26', '63+26=89']
Exploring Operation: 89-84=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 84*89=7476, Resulting Numbers: [7476]
7476,57 unequal: No Solution
Exploring Operation: 84+89=173, Resulting Numbers: [173]
173,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 57:[63, 110], Operations: ['77-51=26', '84+26=110']
Exploring Operation: 63*110=6930, Resulting Numbers: [6930]
6930,57 unequal: No Solution
Exploring Operation: 110-63=47, Resulting Numbers: [47]
47,57 unequal: No Solution
Exploring Operation: 63+110=173, Resulting Numbers: [173]
173,57 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: 57:[63, 58], Operations: ['84-77=7', '51+7=58']
Exploring Operation: 63+58=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 63*58=3654, Resulting Numbers: [3654]
3654,57 unequal: No Solution
Moving to Node #0,1,3
Current State: 57:[51, 56], Operations: ['84-77=7', '63-7=56']
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 51*56=2856, Resulting Numbers: [2856]
2856,57 unequal: No Solution
Exploring Operation: 51+56=107, Resulting Numbers: [107]
107,57 unequal: No Solution
Moving to Node #0,3,4
Current State: 57:[51, 6], Operations: ['77-63=14', '84/14=6']
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,57 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,57 unequal: No Solution
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[84, 51, 63, 77], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [84, 51, 14]
Generated Node #0,3: 57:[84, 51, 14] Operation: 77-63=14
Moving to Node #0,3
Current State: 57:[84, 51, 14], Operations: ['77-63=14']
Exploring Operation: 84/14=6, Resulting Numbers: [51, 6]
Generated Node #0,3,4: 57:[51, 6] Operation: 84/14=6
Moving to Node #0,3,4
Current State: 57:[51, 6], Operations: ['77-63=14', '84/14=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.936632 | hs_5 | sum_heuristic |
[
44,
42,
4,
45
] | 90 | [
"44-42=2",
"4*45=180",
"180/2=90"
] | Current State: 90:[44, 42, 4, 45], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [4, 45, 2]
Generated Node #2: [4, 45, 2] from Operation: 44-42=2
Current State: 90:[4, 45, 2], Operations: ['44-42=2']
Exploring Operation: 4*45=180, Resulting Numbers: [2, 180]
Generated Node #3: [2, 180] from Operation: 4*45=180
Current State: 90:[2, 180], Operations: ['44-42=2', '4*45=180']
Exploring Operation: 180/2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[44, 42, 4, 45], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [44, 4, 3]
Generated Node #0,0: 90:[44, 4, 3] Operation: 45-42=3
Exploring Operation: 44/4=11, Resulting Numbers: [42, 45, 11]
Generated Node #0,1: 90:[42, 45, 11] Operation: 44/4=11
Exploring Operation: 42+4=46, Resulting Numbers: [44, 45, 46]
Generated Node #0,2: 90:[44, 45, 46] Operation: 42+4=46
Exploring Operation: 44-42=2, Resulting Numbers: [4, 45, 2]
Generated Node #0,3: 90:[4, 45, 2] Operation: 44-42=2
Moving to Node #0,3
Current State: 90:[4, 45, 2], Operations: ['44-42=2']
Exploring Operation: 4*2=8, Resulting Numbers: [45, 8]
Generated Node #0,3,0: 90:[45, 8] Operation: 4*2=8
Exploring Operation: 4-2=2, Resulting Numbers: [45, 2]
Generated Node #0,3,1: 90:[45, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [45, 2]
Generated Node #0,3,2: 90:[45, 2] Operation: 4/2=2
Exploring Operation: 4+2=6, Resulting Numbers: [45, 6]
Generated Node #0,3,3: 90:[45, 6] Operation: 4+2=6
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 90:[45, 2], Operations: ['44-42=2', '4-2=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,90 unequal: No Solution
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[44, 42, 4, 45], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [4, 45, 2]
Generated Node #0,3: 90:[4, 45, 2] Operation: 44-42=2
Moving to Node #0,3
Current State: 90:[4, 45, 2], Operations: ['44-42=2']
Exploring Operation: 4-2=2, Resulting Numbers: [45, 2]
Generated Node #0,3,1: 90:[45, 2] Operation: 4-2=2
Moving to Node #0,3,1
Current State: 90:[45, 2], Operations: ['44-42=2', '4-2=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
18,
31,
46,
11
] | 44 | [
"31-18=13",
"46+11=57",
"57-13=44"
] | Current State: 44:[18, 31, 46, 11], Operations: []
Exploring Operation: 31-18=13, Resulting Numbers: [46, 11, 13]
Generated Node #2: [46, 11, 13] from Operation: 31-18=13
Current State: 44:[46, 11, 13], Operations: ['31-18=13']
Exploring Operation: 46+11=57, Resulting Numbers: [13, 57]
Generated Node #3: [13, 57] from Operation: 46+11=57
Current State: 44:[13, 57], Operations: ['31-18=13', '46+11=57']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[18, 31, 46, 11], Operations: []
Exploring Operation: 31-18=13, Resulting Numbers: [46, 11, 13]
Generated Node #0,0: 44:[46, 11, 13] Operation: 31-18=13
Exploring Operation: 46-31=15, Resulting Numbers: [18, 11, 15]
Generated Node #0,1: 44:[18, 11, 15] Operation: 46-31=15
Exploring Operation: 18+31=49, Resulting Numbers: [46, 11, 49]
Generated Node #0,2: 44:[46, 11, 49] Operation: 18+31=49
Moving to Node #0,0
Current State: 44:[46, 11, 13], Operations: ['31-18=13']
Exploring Operation: 11+13=24, Resulting Numbers: [46, 24]
Generated Node #0,0,0: 44:[46, 24] Operation: 11+13=24
Exploring Operation: 46-11=35, Resulting Numbers: [13, 35]
Generated Node #0,0,1: 44:[13, 35] Operation: 46-11=35
Exploring Operation: 13-11=2, Resulting Numbers: [46, 2]
Generated Node #0,0,2: 44:[46, 2] Operation: 13-11=2
Moving to Node #0,2
Current State: 44:[46, 11, 49], Operations: ['18+31=49']
Exploring Operation: 49-46=3, Resulting Numbers: [11, 3]
Generated Node #0,2,0: 44:[11, 3] Operation: 49-46=3
Exploring Operation: 46-11=35, Resulting Numbers: [49, 35]
Generated Node #0,2,1: 44:[49, 35] Operation: 46-11=35
Exploring Operation: 49-11=38, Resulting Numbers: [46, 38]
Generated Node #0,2,2: 44:[46, 38] Operation: 49-11=38
Moving to Node #0,1
Current State: 44:[18, 11, 15], Operations: ['46-31=15']
Exploring Operation: 18-11=7, Resulting Numbers: [15, 7]
Generated Node #0,1,0: 44:[15, 7] Operation: 18-11=7
Exploring Operation: 18-15=3, Resulting Numbers: [11, 3]
Generated Node #0,1,1: 44:[11, 3] Operation: 18-15=3
Exploring Operation: 15-11=4, Resulting Numbers: [18, 4]
Generated Node #0,1,2: 44:[18, 4] Operation: 15-11=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[11, 3], Operations: ['46-31=15', '18-15=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 44:[18, 4], Operations: ['46-31=15', '15-11=4']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[15, 7], Operations: ['46-31=15', '18-11=7']
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,44 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 44:[11, 3], Operations: ['18+31=49', '49-46=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[46, 2], Operations: ['31-18=13', '13-11=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[18, 31, 46, 11], Operations: []
Exploring Operation: 31-18=13, Resulting Numbers: [46, 11, 13]
Generated Node #0,0: 44:[46, 11, 13] Operation: 31-18=13
Moving to Node #0,0
Current State: 44:[46, 11, 13], Operations: ['31-18=13']
Exploring Operation: 13-11=2, Resulting Numbers: [46, 2]
Generated Node #0,0,2: 44:[46, 2] Operation: 13-11=2
Moving to Node #0,0,2
Current State: 44:[46, 2], Operations: ['31-18=13', '13-11=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.973958 | hs_3 | sum_heuristic |
[
47,
45,
62,
49
] | 19 | [
"47+45=92",
"62+49=111",
"111-92=19"
] | Current State: 19:[47, 45, 62, 49], Operations: []
Exploring Operation: 47+45=92, Resulting Numbers: [62, 49, 92]
Generated Node #2: [62, 49, 92] from Operation: 47+45=92
Current State: 19:[62, 49, 92], Operations: ['47+45=92']
Exploring Operation: 62+49=111, Resulting Numbers: [92, 111]
Generated Node #3: [92, 111] from Operation: 62+49=111
Current State: 19:[92, 111], Operations: ['47+45=92', '62+49=111']
Exploring Operation: 111-92=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[47, 45, 62, 49], Operations: []
Exploring Operation: 62-49=13, Resulting Numbers: [47, 45, 13]
Generated Node #0,0: 19:[47, 45, 13] Operation: 62-49=13
Exploring Operation: 49-47=2, Resulting Numbers: [45, 62, 2]
Generated Node #0,1: 19:[45, 62, 2] Operation: 49-47=2
Exploring Operation: 62-45=17, Resulting Numbers: [47, 49, 17]
Generated Node #0,2: 19:[47, 49, 17] Operation: 62-45=17
Exploring Operation: 62-47=15, Resulting Numbers: [45, 49, 15]
Generated Node #0,3: 19:[45, 49, 15] Operation: 62-47=15
Exploring Operation: 49-45=4, Resulting Numbers: [47, 62, 4]
Generated Node #0,4: 19:[47, 62, 4] Operation: 49-45=4
Moving to Node #0,0
Current State: 19:[47, 45, 13], Operations: ['62-49=13']
Exploring Operation: 45-13=32, Resulting Numbers: [47, 32]
Generated Node #0,0,0: 19:[47, 32] Operation: 45-13=32
Exploring Operation: 47+13=60, Resulting Numbers: [45, 60]
Generated Node #0,0,1: 19:[45, 60] Operation: 47+13=60
Exploring Operation: 45+13=58, Resulting Numbers: [47, 58]
Generated Node #0,0,2: 19:[47, 58] Operation: 45+13=58
Exploring Operation: 47-45=2, Resulting Numbers: [13, 2]
Generated Node #0,0,3: 19:[13, 2] Operation: 47-45=2
Exploring Operation: 47-13=34, Resulting Numbers: [45, 34]
Generated Node #0,0,4: 19:[45, 34] Operation: 47-13=34
Moving to Node #0,3
Current State: 19:[45, 49, 15], Operations: ['62-47=15']
Exploring Operation: 49-15=34, Resulting Numbers: [45, 34]
Generated Node #0,3,0: 19:[45, 34] Operation: 49-15=34
Exploring Operation: 45+15=60, Resulting Numbers: [49, 60]
Generated Node #0,3,1: 19:[49, 60] Operation: 45+15=60
Exploring Operation: 45-15=30, Resulting Numbers: [49, 30]
Generated Node #0,3,2: 19:[49, 30] Operation: 45-15=30
Exploring Operation: 49-45=4, Resulting Numbers: [15, 4]
Generated Node #0,3,3: 19:[15, 4] Operation: 49-45=4
Exploring Operation: 45/15=3, Resulting Numbers: [49, 3]
Generated Node #0,3,4: 19:[49, 3] Operation: 45/15=3
Moving to Node #0,2
Current State: 19:[47, 49, 17], Operations: ['62-45=17']
Exploring Operation: 49-47=2, Resulting Numbers: [17, 2]
Generated Node #0,2,0: 19:[17, 2] Operation: 49-47=2
Exploring Operation: 47+17=64, Resulting Numbers: [49, 64]
Generated Node #0,2,1: 19:[49, 64] Operation: 47+17=64
Exploring Operation: 49-17=32, Resulting Numbers: [47, 32]
Generated Node #0,2,2: 19:[47, 32] Operation: 49-17=32
Exploring Operation: 47-17=30, Resulting Numbers: [49, 30]
Generated Node #0,2,3: 19:[49, 30] Operation: 47-17=30
Exploring Operation: 49+17=66, Resulting Numbers: [47, 66]
Generated Node #0,2,4: 19:[47, 66] Operation: 49+17=66
Moving to Node #0,1
Current State: 19:[45, 62, 2], Operations: ['49-47=2']
Exploring Operation: 45+2=47, Resulting Numbers: [62, 47]
Generated Node #0,1,0: 19:[62, 47] Operation: 45+2=47
Exploring Operation: 62-45=17, Resulting Numbers: [2, 17]
Generated Node #0,1,1: 19:[2, 17] Operation: 62-45=17
Exploring Operation: 62-2=60, Resulting Numbers: [45, 60]
Generated Node #0,1,2: 19:[45, 60] Operation: 62-2=60
Exploring Operation: 62/2=31, Resulting Numbers: [45, 31]
Generated Node #0,1,3: 19:[45, 31] Operation: 62/2=31
Exploring Operation: 45-2=43, Resulting Numbers: [62, 43]
Generated Node #0,1,4: 19:[62, 43] Operation: 45-2=43
Moving to Node #0,4
Current State: 19:[47, 62, 4], Operations: ['49-45=4']
Exploring Operation: 62-47=15, Resulting Numbers: [4, 15]
Generated Node #0,4,0: 19:[4, 15] Operation: 62-47=15
Exploring Operation: 47+4=51, Resulting Numbers: [62, 51]
Generated Node #0,4,1: 19:[62, 51] Operation: 47+4=51
Exploring Operation: 62+4=66, Resulting Numbers: [47, 66]
Generated Node #0,4,2: 19:[47, 66] Operation: 62+4=66
Exploring Operation: 62-4=58, Resulting Numbers: [47, 58]
Generated Node #0,4,3: 19:[47, 58] Operation: 62-4=58
Exploring Operation: 47-4=43, Resulting Numbers: [62, 43]
Generated Node #0,4,4: 19:[62, 43] Operation: 47-4=43
Moving to Node #0,3,3
Current State: 19:[15, 4], Operations: ['62-47=15', '49-45=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,19 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[47, 45, 62, 49], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [45, 49, 15]
Generated Node #0,3: 19:[45, 49, 15] Operation: 62-47=15
Moving to Node #0,3
Current State: 19:[45, 49, 15], Operations: ['62-47=15']
Exploring Operation: 49-45=4, Resulting Numbers: [15, 4]
Generated Node #0,3,3: 19:[15, 4] Operation: 49-45=4
Moving to Node #0,3,3
Current State: 19:[15, 4], Operations: ['62-47=15', '49-45=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.967882 | hs_5 | mult_heuristic |
[
99,
66,
36,
42
] | 44 | [
"99-36=63",
"66*42=2772",
"2772/63=44"
] | Current State: 44:[99, 66, 36, 42], Operations: []
Exploring Operation: 99-36=63, Resulting Numbers: [66, 42, 63]
Generated Node #2: [66, 42, 63] from Operation: 99-36=63
Current State: 44:[66, 42, 63], Operations: ['99-36=63']
Exploring Operation: 66*42=2772, Resulting Numbers: [63, 2772]
Generated Node #3: [63, 2772] from Operation: 66*42=2772
Current State: 44:[63, 2772], Operations: ['99-36=63', '66*42=2772']
Exploring Operation: 2772/63=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[99, 66, 36, 42], Operations: []
Exploring Operation: 99-66=33, Resulting Numbers: [36, 42, 33]
Generated Node #0,0: 44:[36, 42, 33] Operation: 99-66=33
Moving to Node #0,0
Current State: 44:[36, 42, 33], Operations: ['99-66=33']
Exploring Operation: 36-33=3, Resulting Numbers: [42, 3]
Generated Node #0,0,0: 44:[42, 3] Operation: 36-33=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[42, 3], Operations: ['99-66=33', '36-33=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
74,
80,
4,
65
] | 14 | [
"80-65=15",
"4*15=60",
"74-60=14"
] | Current State: 14:[74, 80, 4, 65], Operations: []
Exploring Operation: 80-65=15, Resulting Numbers: [74, 4, 15]
Generated Node #2: [74, 4, 15] from Operation: 80-65=15
Current State: 14:[74, 4, 15], Operations: ['80-65=15']
Exploring Operation: 4*15=60, Resulting Numbers: [74, 60]
Generated Node #3: [74, 60] from Operation: 4*15=60
Current State: 14:[74, 60], Operations: ['80-65=15', '4*15=60']
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[74, 80, 4, 65], Operations: []
Exploring Operation: 80-65=15, Resulting Numbers: [74, 4, 15]
Generated Node #0,0: 14:[74, 4, 15] Operation: 80-65=15
Exploring Operation: 80-74=6, Resulting Numbers: [4, 65, 6]
Generated Node #0,1: 14:[4, 65, 6] Operation: 80-74=6
Moving to Node #0,1
Current State: 14:[4, 65, 6], Operations: ['80-74=6']
Exploring Operation: 65-4=61, Resulting Numbers: [6, 61]
Generated Node #0,1,0: 14:[6, 61] Operation: 65-4=61
Exploring Operation: 65-6=59, Resulting Numbers: [4, 59]
Generated Node #0,1,1: 14:[4, 59] Operation: 65-6=59
Moving to Node #0,0
Current State: 14:[74, 4, 15], Operations: ['80-65=15']
Exploring Operation: 74-15=59, Resulting Numbers: [4, 59]
Generated Node #0,0,0: 14:[4, 59] Operation: 74-15=59
Exploring Operation: 74-4=70, Resulting Numbers: [15, 70]
Generated Node #0,0,1: 14:[15, 70] Operation: 74-4=70
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[4, 59], Operations: ['80-65=15', '74-15=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,14 unequal: No Solution
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[15, 70], Operations: ['80-65=15', '74-4=70']
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,14 unequal: No Solution
Exploring Operation: 15+70=85, Resulting Numbers: [85]
85,14 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: 14:[4, 59], Operations: ['80-74=6', '65-6=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,14 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[6, 61], Operations: ['80-74=6', '65-4=61']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,14 unequal: No Solution
Exploring Operation: 6+61=67, Resulting Numbers: [67]
67,14 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
88,
29,
1,
98
] | 40 | [
"88-29=59",
"1+98=99",
"99-59=40"
] | Current State: 40:[88, 29, 1, 98], Operations: []
Exploring Operation: 88-29=59, Resulting Numbers: [1, 98, 59]
Generated Node #2: [1, 98, 59] from Operation: 88-29=59
Current State: 40:[1, 98, 59], Operations: ['88-29=59']
Exploring Operation: 1+98=99, Resulting Numbers: [59, 99]
Generated Node #3: [59, 99] from Operation: 1+98=99
Current State: 40:[59, 99], Operations: ['88-29=59', '1+98=99']
Exploring Operation: 99-59=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[88, 29, 1, 98], Operations: []
Exploring Operation: 88-1=87, Resulting Numbers: [29, 98, 87]
Generated Node #0,0: 40:[29, 98, 87] Operation: 88-1=87
Exploring Operation: 98-88=10, Resulting Numbers: [29, 1, 10]
Generated Node #0,1: 40:[29, 1, 10] Operation: 98-88=10
Exploring Operation: 88-29=59, Resulting Numbers: [1, 98, 59]
Generated Node #0,2: 40:[1, 98, 59] Operation: 88-29=59
Exploring Operation: 98-29=69, Resulting Numbers: [88, 1, 69]
Generated Node #0,3: 40:[88, 1, 69] Operation: 98-29=69
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[29, 1, 10], Operations: ['98-88=10']
Exploring Operation: 29*1=29, Resulting Numbers: [10, 29]
Generated Node #0,1,0: 40:[10, 29] Operation: 29*1=29
Exploring Operation: 29-10=19, Resulting Numbers: [1, 19]
Generated Node #0,1,1: 40:[1, 19] Operation: 29-10=19
Exploring Operation: 29-1=28, Resulting Numbers: [10, 28]
Generated Node #0,1,2: 40:[10, 28] Operation: 29-1=28
Exploring Operation: 29+10=39, Resulting Numbers: [1, 39]
Generated Node #0,1,3: 40:[1, 39] Operation: 29+10=39
Moving to Node #0,1,1
Current State: 40:[1, 19], Operations: ['98-88=10', '29-10=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Moving to Node #0,1,3
Current State: 40:[1, 39], Operations: ['98-88=10', '29+10=39']
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,40 unequal: No Solution
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[88, 29, 1, 98], Operations: []
Exploring Operation: 98-88=10, Resulting Numbers: [29, 1, 10]
Generated Node #0,1: 40:[29, 1, 10] Operation: 98-88=10
Moving to Node #0,1
Current State: 40:[29, 1, 10], Operations: ['98-88=10']
Exploring Operation: 29+10=39, Resulting Numbers: [1, 39]
Generated Node #0,1,3: 40:[1, 39] Operation: 29+10=39
Moving to Node #0,1,3
Current State: 40:[1, 39], Operations: ['98-88=10', '29+10=39']
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
81,
87,
11,
89
] | 94 | [
"87-81=6",
"11+89=100",
"100-6=94"
] | Current State: 94:[81, 87, 11, 89], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [11, 89, 6]
Generated Node #2: [11, 89, 6] from Operation: 87-81=6
Current State: 94:[11, 89, 6], Operations: ['87-81=6']
Exploring Operation: 11+89=100, Resulting Numbers: [6, 100]
Generated Node #3: [6, 100] from Operation: 11+89=100
Current State: 94:[6, 100], Operations: ['87-81=6', '11+89=100']
Exploring Operation: 100-6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[81, 87, 11, 89], Operations: []
Exploring Operation: 81+11=92, Resulting Numbers: [87, 89, 92]
Generated Node #0,0: 94:[87, 89, 92] Operation: 81+11=92
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[87, 89, 92], Operations: ['81+11=92']
Exploring Operation: 89-87=2, Resulting Numbers: [92, 2]
Generated Node #0,0,0: 94:[92, 2] Operation: 89-87=2
Moving to Node #0,0,0
Current State: 94:[92, 2], Operations: ['81+11=92', '89-87=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[81, 87, 11, 89], Operations: []
Exploring Operation: 81+11=92, Resulting Numbers: [87, 89, 92]
Generated Node #0,0: 94:[87, 89, 92] Operation: 81+11=92
Moving to Node #0,0
Current State: 94:[87, 89, 92], Operations: ['81+11=92']
Exploring Operation: 89-87=2, Resulting Numbers: [92, 2]
Generated Node #0,0,0: 94:[92, 2] Operation: 89-87=2
Moving to Node #0,0,0
Current State: 94:[92, 2], Operations: ['81+11=92', '89-87=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
27,
34,
81,
2
] | 62 | [
"81/27=3",
"34-3=31",
"2*31=62"
] | Current State: 62:[27, 34, 81, 2], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [34, 2, 3]
Generated Node #2: [34, 2, 3] from Operation: 81/27=3
Current State: 62:[34, 2, 3], Operations: ['81/27=3']
Exploring Operation: 34-3=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 34-3=31
Current State: 62:[2, 31], Operations: ['81/27=3', '34-3=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[27, 34, 81, 2], Operations: []
Exploring Operation: 81-27=54, Resulting Numbers: [34, 2, 54]
Generated Node #0,0: 62:[34, 2, 54] Operation: 81-27=54
Exploring Operation: 81/27=3, Resulting Numbers: [34, 2, 3]
Generated Node #0,1: 62:[34, 2, 3] Operation: 81/27=3
Moving to Node #0,1
Current State: 62:[34, 2, 3], Operations: ['81/27=3']
Exploring Operation: 34-2=32, Resulting Numbers: [3, 32]
Generated Node #0,1,0: 62:[3, 32] Operation: 34-2=32
Exploring Operation: 34-3=31, Resulting Numbers: [2, 31]
Generated Node #0,1,1: 62:[2, 31] Operation: 34-3=31
Moving to Node #0,0
Current State: 62:[34, 2, 54], Operations: ['81-27=54']
Exploring Operation: 34-2=32, Resulting Numbers: [54, 32]
Generated Node #0,0,0: 62:[54, 32] Operation: 34-2=32
Exploring Operation: 54/2=27, Resulting Numbers: [34, 27]
Generated Node #0,0,1: 62:[34, 27] Operation: 54/2=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[34, 27], Operations: ['81-27=54', '54/2=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,62 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:[54, 32], Operations: ['81-27=54', '34-2=32']
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 54+32=86, Resulting Numbers: [86]
86,62 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: 62:[2, 31], Operations: ['81/27=3', '34-3=31']
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[27, 34, 81, 2], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [34, 2, 3]
Generated Node #0,1: 62:[34, 2, 3] Operation: 81/27=3
Moving to Node #0,1
Current State: 62:[34, 2, 3], Operations: ['81/27=3']
Exploring Operation: 34-3=31, Resulting Numbers: [2, 31]
Generated Node #0,1,1: 62:[2, 31] Operation: 34-3=31
Moving to Node #0,1,1
Current State: 62:[2, 31], Operations: ['81/27=3', '34-3=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
69,
3,
81,
89
] | 31 | [
"69/3=23",
"89-81=8",
"23+8=31"
] | Current State: 31:[69, 3, 81, 89], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [81, 89, 23]
Generated Node #2: [81, 89, 23] from Operation: 69/3=23
Current State: 31:[81, 89, 23], Operations: ['69/3=23']
Exploring Operation: 89-81=8, Resulting Numbers: [23, 8]
Generated Node #3: [23, 8] from Operation: 89-81=8
Current State: 31:[23, 8], Operations: ['69/3=23', '89-81=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[69, 3, 81, 89], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [3, 89, 12]
Generated Node #0,0: 31:[3, 89, 12] Operation: 81-69=12
Exploring Operation: 81/3=27, Resulting Numbers: [69, 89, 27]
Generated Node #0,1: 31:[69, 89, 27] Operation: 81/3=27
Exploring Operation: 89-81=8, Resulting Numbers: [69, 3, 8]
Generated Node #0,2: 31:[69, 3, 8] Operation: 89-81=8
Exploring Operation: 89-69=20, Resulting Numbers: [3, 81, 20]
Generated Node #0,3: 31:[3, 81, 20] Operation: 89-69=20
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[69, 3, 8], Operations: ['89-81=8']
Exploring Operation: 69-8=61, Resulting Numbers: [3, 61]
Generated Node #0,2,0: 31:[3, 61] Operation: 69-8=61
Exploring Operation: 69/3=23, Resulting Numbers: [8, 23]
Generated Node #0,2,1: 31:[8, 23] Operation: 69/3=23
Exploring Operation: 3*8=24, Resulting Numbers: [69, 24]
Generated Node #0,2,2: 31:[69, 24] Operation: 3*8=24
Exploring Operation: 69-3=66, Resulting Numbers: [8, 66]
Generated Node #0,2,3: 31:[8, 66] Operation: 69-3=66
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 31:[8, 23], Operations: ['89-81=8', '69/3=23']
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,31 unequal: No Solution
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[69, 3, 81, 89], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [69, 3, 8]
Generated Node #0,2: 31:[69, 3, 8] Operation: 89-81=8
Moving to Node #0,2
Current State: 31:[69, 3, 8], Operations: ['89-81=8']
Exploring Operation: 69/3=23, Resulting Numbers: [8, 23]
Generated Node #0,2,1: 31:[8, 23] Operation: 69/3=23
Moving to Node #0,2,1
Current State: 31:[8, 23], Operations: ['89-81=8', '69/3=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
19,
45,
22,
14
] | 32 | [
"45*14=630",
"630-22=608",
"608/19=32"
] | Current State: 32:[19, 45, 22, 14], Operations: []
Exploring Operation: 45*14=630, Resulting Numbers: [19, 22, 630]
Generated Node #2: [19, 22, 630] from Operation: 45*14=630
Current State: 32:[19, 22, 630], Operations: ['45*14=630']
Exploring Operation: 630-22=608, Resulting Numbers: [19, 608]
Generated Node #3: [19, 608] from Operation: 630-22=608
Current State: 32:[19, 608], Operations: ['45*14=630', '630-22=608']
Exploring Operation: 608/19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[19, 45, 22, 14], Operations: []
Exploring Operation: 45-14=31, Resulting Numbers: [19, 22, 31]
Generated Node #0,0: 32:[19, 22, 31] Operation: 45-14=31
Moving to Node #0,0
Current State: 32:[19, 22, 31], Operations: ['45-14=31']
Exploring Operation: 22-19=3, Resulting Numbers: [31, 3]
Generated Node #0,0,0: 32:[31, 3] Operation: 22-19=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[31, 3], Operations: ['45-14=31', '22-19=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
72,
17,
38,
4
] | 68 | [
"72-17=55",
"55-38=17",
"4*17=68"
] | Current State: 68:[72, 17, 38, 4], Operations: []
Exploring Operation: 72-17=55, Resulting Numbers: [38, 4, 55]
Generated Node #2: [38, 4, 55] from Operation: 72-17=55
Current State: 68:[38, 4, 55], Operations: ['72-17=55']
Exploring Operation: 55-38=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 55-38=17
Current State: 68:[4, 17], Operations: ['72-17=55', '55-38=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[72, 17, 38, 4], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [17, 4, 34]
Generated Node #0,0: 68:[17, 4, 34] Operation: 72-38=34
Exploring Operation: 72-4=68, Resulting Numbers: [17, 38, 68]
Generated Node #0,1: 68:[17, 38, 68] Operation: 72-4=68
Moving to Node #0,0
Current State: 68:[17, 4, 34], Operations: ['72-38=34']
Exploring Operation: 34-17=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 68:[4, 17] Operation: 34-17=17
Exploring Operation: 17*4=68, Resulting Numbers: [34, 68]
Generated Node #0,0,1: 68:[34, 68] Operation: 17*4=68
Moving to Node #0,1
Current State: 68:[17, 38, 68], Operations: ['72-4=68']
Exploring Operation: 68/17=4, Resulting Numbers: [38, 4]
Generated Node #0,1,0: 68:[38, 4] Operation: 68/17=4
Exploring Operation: 38-17=21, Resulting Numbers: [68, 21]
Generated Node #0,1,1: 68:[68, 21] Operation: 38-17=21
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[38, 4], Operations: ['72-4=68', '68/17=4']
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,68 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[68, 21], Operations: ['72-4=68', '38-17=21']
Exploring Operation: 68+21=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Exploring Operation: 68-21=47, Resulting Numbers: [47]
47,68 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: 68:[4, 17], Operations: ['72-38=34', '34-17=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[72, 17, 38, 4], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [17, 4, 34]
Generated Node #0,0: 68:[17, 4, 34] Operation: 72-38=34
Moving to Node #0,0
Current State: 68:[17, 4, 34], Operations: ['72-38=34']
Exploring Operation: 34-17=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 68:[4, 17] Operation: 34-17=17
Moving to Node #0,0,0
Current State: 68:[4, 17], Operations: ['72-38=34', '34-17=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
46,
16,
96,
3
] | 62 | [
"46-16=30",
"96/3=32",
"30+32=62"
] | Current State: 62:[46, 16, 96, 3], Operations: []
Exploring Operation: 46-16=30, Resulting Numbers: [96, 3, 30]
Generated Node #2: [96, 3, 30] from Operation: 46-16=30
Current State: 62:[96, 3, 30], Operations: ['46-16=30']
Exploring Operation: 96/3=32, Resulting Numbers: [30, 32]
Generated Node #3: [30, 32] from Operation: 96/3=32
Current State: 62:[30, 32], Operations: ['46-16=30', '96/3=32']
Exploring Operation: 30+32=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[46, 16, 96, 3], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [16, 3, 50]
Generated Node #0,0: 62:[16, 3, 50] Operation: 96-46=50
Exploring Operation: 96/16=6, Resulting Numbers: [46, 3, 6]
Generated Node #0,1: 62:[46, 3, 6] Operation: 96/16=6
Exploring Operation: 96/3=32, Resulting Numbers: [46, 16, 32]
Generated Node #0,2: 62:[46, 16, 32] Operation: 96/3=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[46, 3, 6], Operations: ['96/16=6']
Exploring Operation: 46+6=52, Resulting Numbers: [3, 52]
Generated Node #0,1,0: 62:[3, 52] Operation: 46+6=52
Exploring Operation: 46-6=40, Resulting Numbers: [3, 40]
Generated Node #0,1,1: 62:[3, 40] Operation: 46-6=40
Exploring Operation: 6/3=2, Resulting Numbers: [46, 2]
Generated Node #0,1,2: 62:[46, 2] Operation: 6/3=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[3, 40], Operations: ['96/16=6', '46-6=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,62 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[3, 52], Operations: ['96/16=6', '46+6=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,62 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,62 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 62:[46, 2], Operations: ['96/16=6', '6/3=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,62 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,62 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[16, 3, 50], Operations: ['96-46=50']
Exploring Operation: 50-16=34, Resulting Numbers: [3, 34]
Generated Node #0,0,0: 62:[3, 34] Operation: 50-16=34
Exploring Operation: 16-3=13, Resulting Numbers: [50, 13]
Generated Node #0,0,1: 62:[50, 13] Operation: 16-3=13
Exploring Operation: 16+50=66, Resulting Numbers: [3, 66]
Generated Node #0,0,2: 62:[3, 66] Operation: 16+50=66
Moving to Node #0,0,0
Current State: 62:[3, 34], Operations: ['96-46=50', '50-16=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,62 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[3, 66], Operations: ['96-46=50', '16+50=66']
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,62 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[50, 13], Operations: ['96-46=50', '16-3=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 50*13=650, Resulting Numbers: [650]
650,62 unequal: No Solution
Exploring Operation: 50-13=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 #0,2
Current State: 62:[46, 16, 32], Operations: ['96/3=32']
Exploring Operation: 46+16=62, Resulting Numbers: [32, 62]
Generated Node #0,2,0: 62:[32, 62] Operation: 46+16=62
Exploring Operation: 32/16=2, Resulting Numbers: [46, 2]
Generated Node #0,2,1: 62:[46, 2] Operation: 32/16=2
Exploring Operation: 46-16=30, Resulting Numbers: [32, 30]
Generated Node #0,2,2: 62:[32, 30] Operation: 46-16=30
Moving to Node #0,2,0
Current State: 62:[32, 62], Operations: ['96/3=32', '46+16=62']
Exploring Operation: 32*62=1984, Resulting Numbers: [1984]
1984,62 unequal: No Solution
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 32+62=94, Resulting Numbers: [94]
94,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[32, 30], Operations: ['96/3=32', '46-16=30']
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[46, 16, 96, 3], Operations: []
Exploring Operation: 96/3=32, Resulting Numbers: [46, 16, 32]
Generated Node #0,2: 62:[46, 16, 32] Operation: 96/3=32
Moving to Node #0,2
Current State: 62:[46, 16, 32], Operations: ['96/3=32']
Exploring Operation: 46-16=30, Resulting Numbers: [32, 30]
Generated Node #0,2,2: 62:[32, 30] Operation: 46-16=30
Moving to Node #0,2,2
Current State: 62:[32, 30], Operations: ['96/3=32', '46-16=30']
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_3 | mult_heuristic |
[
45,
9,
4,
55
] | 64 | [
"45-9=36",
"36/4=9",
"55+9=64"
] | Current State: 64:[45, 9, 4, 55], Operations: []
Exploring Operation: 45-9=36, Resulting Numbers: [4, 55, 36]
Generated Node #2: [4, 55, 36] from Operation: 45-9=36
Current State: 64:[4, 55, 36], Operations: ['45-9=36']
Exploring Operation: 36/4=9, Resulting Numbers: [55, 9]
Generated Node #3: [55, 9] from Operation: 36/4=9
Current State: 64:[55, 9], Operations: ['45-9=36', '36/4=9']
Exploring Operation: 55+9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[45, 9, 4, 55], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [4, 55, 5]
Generated Node #0,0: 64:[4, 55, 5] Operation: 45/9=5
Exploring Operation: 9+55=64, Resulting Numbers: [45, 4, 64]
Generated Node #0,1: 64:[45, 4, 64] Operation: 9+55=64
Exploring Operation: 55-45=10, Resulting Numbers: [9, 4, 10]
Generated Node #0,2: 64:[9, 4, 10] Operation: 55-45=10
Exploring Operation: 45-9=36, Resulting Numbers: [4, 55, 36]
Generated Node #0,3: 64:[4, 55, 36] Operation: 45-9=36
Moving to Node #0,2
Current State: 64:[9, 4, 10], Operations: ['55-45=10']
Exploring Operation: 9-4=5, Resulting Numbers: [10, 5]
Generated Node #0,2,0: 64:[10, 5] Operation: 9-4=5
Exploring Operation: 4+10=14, Resulting Numbers: [9, 14]
Generated Node #0,2,1: 64:[9, 14] Operation: 4+10=14
Exploring Operation: 9+10=19, Resulting Numbers: [4, 19]
Generated Node #0,2,2: 64:[4, 19] Operation: 9+10=19
Exploring Operation: 10-9=1, Resulting Numbers: [4, 1]
Generated Node #0,2,3: 64:[4, 1] Operation: 10-9=1
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 64:[4, 1], Operations: ['55-45=10', '10-9=1']
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[10, 5], Operations: ['55-45=10', '9-4=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,64 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[9, 14], Operations: ['55-45=10', '4+10=14']
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[4, 19], Operations: ['55-45=10', '9+10=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,64 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,64 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: 64:[4, 55, 5], Operations: ['45/9=5']
Exploring Operation: 4+55=59, Resulting Numbers: [5, 59]
Generated Node #0,0,0: 64:[5, 59] Operation: 4+55=59
Exploring Operation: 4+5=9, Resulting Numbers: [55, 9]
Generated Node #0,0,1: 64:[55, 9] Operation: 4+5=9
Exploring Operation: 55/5=11, Resulting Numbers: [4, 11]
Generated Node #0,0,2: 64:[4, 11] Operation: 55/5=11
Exploring Operation: 55+5=60, Resulting Numbers: [4, 60]
Generated Node #0,0,3: 64:[4, 60] Operation: 55+5=60
Moving to Node #0,3
Current State: 64:[4, 55, 36], Operations: ['45-9=36']
Exploring Operation: 36-4=32, Resulting Numbers: [55, 32]
Generated Node #0,3,0: 64:[55, 32] Operation: 36-4=32
Exploring Operation: 4+55=59, Resulting Numbers: [36, 59]
Generated Node #0,3,1: 64:[36, 59] Operation: 4+55=59
Exploring Operation: 55-36=19, Resulting Numbers: [4, 19]
Generated Node #0,3,2: 64:[4, 19] Operation: 55-36=19
Exploring Operation: 36/4=9, Resulting Numbers: [55, 9]
Generated Node #0,3,3: 64:[55, 9] Operation: 36/4=9
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[4, 19], Operations: ['45-9=36', '55-36=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,64 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[55, 32], Operations: ['45-9=36', '36-4=32']
Exploring Operation: 55*32=1760, Resulting Numbers: [1760]
1760,64 unequal: No Solution
Exploring Operation: 55+32=87, Resulting Numbers: [87]
87,64 unequal: No Solution
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[36, 59], Operations: ['45-9=36', '4+55=59']
Exploring Operation: 36*59=2124, Resulting Numbers: [2124]
2124,64 unequal: No Solution
Exploring Operation: 59-36=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 36+59=95, Resulting Numbers: [95]
95,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[55, 9], Operations: ['45-9=36', '36/4=9']
Exploring Operation: 55*9=495, Resulting Numbers: [495]
495,64 unequal: No Solution
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,64 unequal: No Solution
Exploring Operation: 55+9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[45, 9, 4, 55], Operations: []
Exploring Operation: 45-9=36, Resulting Numbers: [4, 55, 36]
Generated Node #0,3: 64:[4, 55, 36] Operation: 45-9=36
Moving to Node #0,3
Current State: 64:[4, 55, 36], Operations: ['45-9=36']
Exploring Operation: 36/4=9, Resulting Numbers: [55, 9]
Generated Node #0,3,3: 64:[55, 9] Operation: 36/4=9
Moving to Node #0,3,3
Current State: 64:[55, 9], Operations: ['45-9=36', '36/4=9']
Exploring Operation: 55+9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_4 | sum_heuristic |
[
1,
77,
44,
27
] | 93 | [
"77-1=76",
"44-27=17",
"76+17=93"
] | Current State: 93:[1, 77, 44, 27], Operations: []
Exploring Operation: 77-1=76, Resulting Numbers: [44, 27, 76]
Generated Node #2: [44, 27, 76] from Operation: 77-1=76
Current State: 93:[44, 27, 76], Operations: ['77-1=76']
Exploring Operation: 44-27=17, Resulting Numbers: [76, 17]
Generated Node #3: [76, 17] from Operation: 44-27=17
Current State: 93:[76, 17], Operations: ['77-1=76', '44-27=17']
Exploring Operation: 76+17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[1, 77, 44, 27], Operations: []
Exploring Operation: 77-44=33, Resulting Numbers: [1, 27, 33]
Generated Node #0,0: 93:[1, 27, 33] Operation: 77-44=33
Exploring Operation: 77+27=104, Resulting Numbers: [1, 44, 104]
Generated Node #0,1: 93:[1, 44, 104] Operation: 77+27=104
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[1, 27, 33], Operations: ['77-44=33']
Exploring Operation: 1+27=28, Resulting Numbers: [33, 28]
Generated Node #0,0,0: 93:[33, 28] Operation: 1+27=28
Exploring Operation: 33-1=32, Resulting Numbers: [27, 32]
Generated Node #0,0,1: 93:[27, 32] Operation: 33-1=32
Moving to Node #0,0,0
Current State: 93:[33, 28], Operations: ['77-44=33', '1+27=28']
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[27, 32], Operations: ['77-44=33', '33-1=32']
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[1, 44, 104], Operations: ['77+27=104']
Exploring Operation: 44-1=43, Resulting Numbers: [104, 43]
Generated Node #0,1,0: 93:[104, 43] Operation: 44-1=43
Exploring Operation: 104-1=103, Resulting Numbers: [44, 103]
Generated Node #0,1,1: 93:[44, 103] Operation: 104-1=103
Moving to Node #0,1,0
Current State: 93:[104, 43], Operations: ['77+27=104', '44-1=43']
Exploring Operation: 104-43=61, Resulting Numbers: [61]
61,93 unequal: No Solution
Exploring Operation: 104+43=147, Resulting Numbers: [147]
147,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[44, 103], Operations: ['77+27=104', '104-1=103']
Exploring Operation: 44+103=147, Resulting Numbers: [147]
147,93 unequal: No Solution
Exploring Operation: 103-44=59, Resulting Numbers: [59]
59,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
21,
49,
77,
81
] | 87 | [
"49+77=126",
"126/21=6",
"81+6=87"
] | Current State: 87:[21, 49, 77, 81], Operations: []
Exploring Operation: 49+77=126, Resulting Numbers: [21, 81, 126]
Generated Node #2: [21, 81, 126] from Operation: 49+77=126
Current State: 87:[21, 81, 126], Operations: ['49+77=126']
Exploring Operation: 126/21=6, Resulting Numbers: [81, 6]
Generated Node #3: [81, 6] from Operation: 126/21=6
Current State: 87:[81, 6], Operations: ['49+77=126', '126/21=6']
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[21, 49, 77, 81], Operations: []
Exploring Operation: 77-49=28, Resulting Numbers: [21, 81, 28]
Generated Node #0,0: 87:[21, 81, 28] Operation: 77-49=28
Exploring Operation: 49-21=28, Resulting Numbers: [77, 81, 28]
Generated Node #0,1: 87:[77, 81, 28] Operation: 49-21=28
Exploring Operation: 81-49=32, Resulting Numbers: [21, 77, 32]
Generated Node #0,2: 87:[21, 77, 32] Operation: 81-49=32
Exploring Operation: 81-77=4, Resulting Numbers: [21, 49, 4]
Generated Node #0,3: 87:[21, 49, 4] Operation: 81-77=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[21, 81, 28], Operations: ['77-49=28']
Exploring Operation: 28-21=7, Resulting Numbers: [81, 7]
Generated Node #0,0,0: 87:[81, 7] Operation: 28-21=7
Exploring Operation: 81-21=60, Resulting Numbers: [28, 60]
Generated Node #0,0,1: 87:[28, 60] Operation: 81-21=60
Exploring Operation: 21+81=102, Resulting Numbers: [28, 102]
Generated Node #0,0,2: 87:[28, 102] Operation: 21+81=102
Exploring Operation: 21+28=49, Resulting Numbers: [81, 49]
Generated Node #0,0,3: 87:[81, 49] Operation: 21+28=49
Moving to Node #0,0,0
Current State: 87:[81, 7], Operations: ['77-49=28', '28-21=7']
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,87 unequal: No Solution
Exploring Operation: 81*7=567, Resulting Numbers: [567]
567,87 unequal: No Solution
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[28, 102], Operations: ['77-49=28', '21+81=102']
Exploring Operation: 102-28=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 28*102=2856, Resulting Numbers: [2856]
2856,87 unequal: No Solution
Exploring Operation: 28+102=130, Resulting Numbers: [130]
130,87 unequal: No Solution
Moving to Node #0,0,3
Current State: 87:[81, 49], Operations: ['77-49=28', '21+28=49']
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 81+49=130, Resulting Numbers: [130]
130,87 unequal: No Solution
Exploring Operation: 81*49=3969, Resulting Numbers: [3969]
3969,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[28, 60], Operations: ['77-49=28', '81-21=60']
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 28+60=88, Resulting Numbers: [88]
88,87 unequal: No Solution
Exploring Operation: 28*60=1680, Resulting Numbers: [1680]
1680,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[77, 81, 28], Operations: ['49-21=28']
Exploring Operation: 81-77=4, Resulting Numbers: [28, 4]
Generated Node #0,1,0: 87:[28, 4] Operation: 81-77=4
Exploring Operation: 81+28=109, Resulting Numbers: [77, 109]
Generated Node #0,1,1: 87:[77, 109] Operation: 81+28=109
Exploring Operation: 77+28=105, Resulting Numbers: [81, 105]
Generated Node #0,1,2: 87:[81, 105] Operation: 77+28=105
Exploring Operation: 77-28=49, Resulting Numbers: [81, 49]
Generated Node #0,1,3: 87:[81, 49] Operation: 77-28=49
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[28, 4], Operations: ['49-21=28', '81-77=4']
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,87 unequal: No Solution
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,87 unequal: No Solution
No 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: 87:[81, 105], Operations: ['49-21=28', '77+28=105']
Exploring Operation: 81*105=8505, Resulting Numbers: [8505]
8505,87 unequal: No Solution
Exploring Operation: 81+105=186, Resulting Numbers: [186]
186,87 unequal: No Solution
Exploring Operation: 105-81=24, Resulting Numbers: [24]
24,87 unequal: No Solution
No 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: 87:[81, 49], Operations: ['49-21=28', '77-28=49']
Exploring Operation: 81+49=130, Resulting Numbers: [130]
130,87 unequal: No Solution
Exploring Operation: 81*49=3969, Resulting Numbers: [3969]
3969,87 unequal: No Solution
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,87 unequal: No Solution
No 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: 87:[77, 109], Operations: ['49-21=28', '81+28=109']
Exploring Operation: 77+109=186, Resulting Numbers: [186]
186,87 unequal: No Solution
Exploring Operation: 77*109=8393, Resulting Numbers: [8393]
8393,87 unequal: No Solution
Exploring Operation: 109-77=32, Resulting Numbers: [32]
32,87 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[21, 77, 32], Operations: ['81-49=32']
Exploring Operation: 21+77=98, Resulting Numbers: [32, 98]
Generated Node #0,2,0: 87:[32, 98] Operation: 21+77=98
Exploring Operation: 77-21=56, Resulting Numbers: [32, 56]
Generated Node #0,2,1: 87:[32, 56] Operation: 77-21=56
Exploring Operation: 77-32=45, Resulting Numbers: [21, 45]
Generated Node #0,2,2: 87:[21, 45] Operation: 77-32=45
Exploring Operation: 32-21=11, Resulting Numbers: [77, 11]
Generated Node #0,2,3: 87:[77, 11] Operation: 32-21=11
Moving to Node #0,2,0
Current State: 87:[32, 98], Operations: ['81-49=32', '21+77=98']
Exploring Operation: 32+98=130, Resulting Numbers: [130]
130,87 unequal: No Solution
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 32*98=3136, Resulting Numbers: [3136]
3136,87 unequal: No Solution
Moving to Node #0,2,3
Current State: 87:[77, 11], Operations: ['81-49=32', '32-21=11']
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,87 unequal: No Solution
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,87 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 77*11=847, Resulting Numbers: [847]
847,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[21, 45], Operations: ['81-49=32', '77-32=45']
Exploring Operation: 21*45=945, Resulting Numbers: [945]
945,87 unequal: No Solution
Exploring Operation: 21+45=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[32, 56], Operations: ['81-49=32', '77-21=56']
Exploring Operation: 32*56=1792, Resulting Numbers: [1792]
1792,87 unequal: No Solution
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 32+56=88, Resulting Numbers: [88]
88,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 87:[21, 49, 4], Operations: ['81-77=4']
Exploring Operation: 49-21=28, Resulting Numbers: [4, 28]
Generated Node #0,3,0: 87:[4, 28] Operation: 49-21=28
Exploring Operation: 21+4=25, Resulting Numbers: [49, 25]
Generated Node #0,3,1: 87:[49, 25] Operation: 21+4=25
Exploring Operation: 21+49=70, Resulting Numbers: [4, 70]
Generated Node #0,3,2: 87:[4, 70] Operation: 21+49=70
Exploring Operation: 21*4=84, Resulting Numbers: [49, 84]
Generated Node #0,3,3: 87:[49, 84] Operation: 21*4=84
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 87:[4, 28], Operations: ['81-77=4', '49-21=28']
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,87 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,87 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,87 unequal: No Solution
No 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: 87:[4, 70], Operations: ['81-77=4', '21+49=70']
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 4*70=280, Resulting Numbers: [280]
280,87 unequal: No Solution
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,87 unequal: No Solution
No 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: 87:[49, 84], Operations: ['81-77=4', '21*4=84']
Exploring Operation: 84-49=35, Resulting Numbers: [35]
35,87 unequal: No Solution
Exploring Operation: 49*84=4116, Resulting Numbers: [4116]
4116,87 unequal: No Solution
Exploring Operation: 49+84=133, Resulting Numbers: [133]
133,87 unequal: No Solution
No 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: 87:[49, 25], Operations: ['81-77=4', '21+4=25']
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 49*25=1225, Resulting Numbers: [1225]
1225,87 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_4 | mult_heuristic |
[
90,
43,
58,
28
] | 77 | [
"90-43=47",
"58-28=30",
"47+30=77"
] | Current State: 77:[90, 43, 58, 28], Operations: []
Exploring Operation: 90-43=47, Resulting Numbers: [58, 28, 47]
Generated Node #2: [58, 28, 47] from Operation: 90-43=47
Current State: 77:[58, 28, 47], Operations: ['90-43=47']
Exploring Operation: 58-28=30, Resulting Numbers: [47, 30]
Generated Node #3: [47, 30] from Operation: 58-28=30
Current State: 77:[47, 30], Operations: ['90-43=47', '58-28=30']
Exploring Operation: 47+30=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[90, 43, 58, 28], Operations: []
Exploring Operation: 43+58=101, Resulting Numbers: [90, 28, 101]
Generated Node #0,0: 77:[90, 28, 101] Operation: 43+58=101
Exploring Operation: 43+28=71, Resulting Numbers: [90, 58, 71]
Generated Node #0,1: 77:[90, 58, 71] Operation: 43+28=71
Exploring Operation: 58-43=15, Resulting Numbers: [90, 28, 15]
Generated Node #0,2: 77:[90, 28, 15] Operation: 58-43=15
Exploring Operation: 43-28=15, Resulting Numbers: [90, 58, 15]
Generated Node #0,3: 77:[90, 58, 15] Operation: 43-28=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[90, 28, 15], Operations: ['58-43=15']
Exploring Operation: 28-15=13, Resulting Numbers: [90, 13]
Generated Node #0,2,0: 77:[90, 13] Operation: 28-15=13
Exploring Operation: 90-15=75, Resulting Numbers: [28, 75]
Generated Node #0,2,1: 77:[28, 75] Operation: 90-15=75
Exploring Operation: 90-28=62, Resulting Numbers: [15, 62]
Generated Node #0,2,2: 77:[15, 62] Operation: 90-28=62
Exploring Operation: 90/15=6, Resulting Numbers: [28, 6]
Generated Node #0,2,3: 77:[28, 6] Operation: 90/15=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 77:[90, 13], Operations: ['58-43=15', '28-15=13']
Exploring Operation: 90+13=103, Resulting Numbers: [103]
103,77 unequal: No Solution
Exploring Operation: 90*13=1170, Resulting Numbers: [1170]
1170,77 unequal: No Solution
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[90, 43, 58, 28], Operations: []
Exploring Operation: 58-43=15, Resulting Numbers: [90, 28, 15]
Generated Node #0,2: 77:[90, 28, 15] Operation: 58-43=15
Moving to Node #0,2
Current State: 77:[90, 28, 15], Operations: ['58-43=15']
Exploring Operation: 28-15=13, Resulting Numbers: [90, 13]
Generated Node #0,2,0: 77:[90, 13] Operation: 28-15=13
Moving to Node #0,2,0
Current State: 77:[90, 13], Operations: ['58-43=15', '28-15=13']
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
42,
8,
9,
18
] | 15 | [
"9*18=162",
"162-42=120",
"120/8=15"
] | Current State: 15:[42, 8, 9, 18], Operations: []
Exploring Operation: 9*18=162, Resulting Numbers: [42, 8, 162]
Generated Node #2: [42, 8, 162] from Operation: 9*18=162
Current State: 15:[42, 8, 162], Operations: ['9*18=162']
Exploring Operation: 162-42=120, Resulting Numbers: [8, 120]
Generated Node #3: [8, 120] from Operation: 162-42=120
Current State: 15:[8, 120], Operations: ['9*18=162', '162-42=120']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[42, 8, 9, 18], Operations: []
Exploring Operation: 42-18=24, Resulting Numbers: [8, 9, 24]
Generated Node #0,0: 15:[8, 9, 24] Operation: 42-18=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[8, 9, 24], Operations: ['42-18=24']
Exploring Operation: 24-9=15, Resulting Numbers: [8, 15]
Generated Node #0,0,0: 15:[8, 15] Operation: 24-9=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[8, 15], Operations: ['42-18=24', '24-9=15']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
10,
2,
87,
99
] | 100 | [
"2+87=89",
"99-89=10",
"10*10=100"
] | Current State: 100:[10, 2, 87, 99], Operations: []
Exploring Operation: 2+87=89, Resulting Numbers: [10, 99, 89]
Generated Node #2: [10, 99, 89] from Operation: 2+87=89
Current State: 100:[10, 99, 89], Operations: ['2+87=89']
Exploring Operation: 99-89=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 99-89=10
Current State: 100:[10, 10], Operations: ['2+87=89', '99-89=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[10, 2, 87, 99], Operations: []
Exploring Operation: 10+87=97, Resulting Numbers: [2, 99, 97]
Generated Node #0,0: 100:[2, 99, 97] Operation: 10+87=97
Exploring Operation: 99-87=12, Resulting Numbers: [10, 2, 12]
Generated Node #0,1: 100:[10, 2, 12] Operation: 99-87=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[10, 2, 12], Operations: ['99-87=12']
Exploring Operation: 12-10=2, Resulting Numbers: [2, 2]
Generated Node #0,1,0: 100:[2, 2] Operation: 12-10=2
Exploring Operation: 12-2=10, Resulting Numbers: [10, 10]
Generated Node #0,1,1: 100:[10, 10] Operation: 12-2=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[2, 2], Operations: ['99-87=12', '12-10=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[10, 10], Operations: ['99-87=12', '12-2=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[10, 2, 87, 99], Operations: []
Exploring Operation: 99-87=12, Resulting Numbers: [10, 2, 12]
Generated Node #0,1: 100:[10, 2, 12] Operation: 99-87=12
Moving to Node #0,1
Current State: 100:[10, 2, 12], Operations: ['99-87=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10, 10]
Generated Node #0,1,1: 100:[10, 10] Operation: 12-2=10
Moving to Node #0,1,1
Current State: 100:[10, 10], Operations: ['99-87=12', '12-2=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
57,
85,
4,
81
] | 58 | [
"85-4=81",
"81/81=1",
"57+1=58"
] | Current State: 58:[57, 85, 4, 81], Operations: []
Exploring Operation: 85-4=81, Resulting Numbers: [57, 81, 81]
Generated Node #2: [57, 81, 81] from Operation: 85-4=81
Current State: 58:[57, 81, 81], Operations: ['85-4=81']
Exploring Operation: 81/81=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 81/81=1
Current State: 58:[57, 1], Operations: ['85-4=81', '81/81=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[57, 85, 4, 81], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [57, 4, 4]
Generated Node #0,0: 58:[57, 4, 4] Operation: 85-81=4
Moving to Node #0,0
Current State: 58:[57, 4, 4], Operations: ['85-81=4']
Exploring Operation: 4/4=1, Resulting Numbers: [57, 1]
Generated Node #0,0,0: 58:[57, 1] Operation: 4/4=1
Moving to Node #0,0,0
Current State: 58:[57, 1], Operations: ['85-81=4', '4/4=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[57, 85, 4, 81], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [57, 4, 4]
Generated Node #0,0: 58:[57, 4, 4] Operation: 85-81=4
Moving to Node #0,0
Current State: 58:[57, 4, 4], Operations: ['85-81=4']
Exploring Operation: 4/4=1, Resulting Numbers: [57, 1]
Generated Node #0,0,0: 58:[57, 1] Operation: 4/4=1
Moving to Node #0,0,0
Current State: 58:[57, 1], Operations: ['85-81=4', '4/4=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
21,
51,
36,
74
] | 34 | [
"21+51=72",
"74-36=38",
"72-38=34"
] | Current State: 34:[21, 51, 36, 74], Operations: []
Exploring Operation: 21+51=72, Resulting Numbers: [36, 74, 72]
Generated Node #2: [36, 74, 72] from Operation: 21+51=72
Current State: 34:[36, 74, 72], Operations: ['21+51=72']
Exploring Operation: 74-36=38, Resulting Numbers: [72, 38]
Generated Node #3: [72, 38] from Operation: 74-36=38
Current State: 34:[72, 38], Operations: ['21+51=72', '74-36=38']
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[21, 51, 36, 74], Operations: []
Exploring Operation: 74-36=38, Resulting Numbers: [21, 51, 38]
Generated Node #0,0: 34:[21, 51, 38] Operation: 74-36=38
Exploring Operation: 74-51=23, Resulting Numbers: [21, 36, 23]
Generated Node #0,1: 34:[21, 36, 23] Operation: 74-51=23
Moving to Node #0,1
Current State: 34:[21, 36, 23], Operations: ['74-51=23']
Exploring Operation: 23-21=2, Resulting Numbers: [36, 2]
Generated Node #0,1,0: 34:[36, 2] Operation: 23-21=2
Exploring Operation: 36-21=15, Resulting Numbers: [23, 15]
Generated Node #0,1,1: 34:[23, 15] Operation: 36-21=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[36, 2], Operations: ['74-51=23', '23-21=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[21, 51, 36, 74], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [21, 36, 23]
Generated Node #0,1: 34:[21, 36, 23] Operation: 74-51=23
Moving to Node #0,1
Current State: 34:[21, 36, 23], Operations: ['74-51=23']
Exploring Operation: 23-21=2, Resulting Numbers: [36, 2]
Generated Node #0,1,0: 34:[36, 2] Operation: 23-21=2
Moving to Node #0,1,0
Current State: 34:[36, 2], Operations: ['74-51=23', '23-21=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
21,
66,
9,
86
] | 32 | [
"66-21=45",
"86-9=77",
"77-45=32"
] | Current State: 32:[21, 66, 9, 86], Operations: []
Exploring Operation: 66-21=45, Resulting Numbers: [9, 86, 45]
Generated Node #2: [9, 86, 45] from Operation: 66-21=45
Current State: 32:[9, 86, 45], Operations: ['66-21=45']
Exploring Operation: 86-9=77, Resulting Numbers: [45, 77]
Generated Node #3: [45, 77] from Operation: 86-9=77
Current State: 32:[45, 77], Operations: ['66-21=45', '86-9=77']
Exploring Operation: 77-45=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[21, 66, 9, 86], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [21, 9, 20]
Generated Node #0,0: 32:[21, 9, 20] Operation: 86-66=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[21, 9, 20], Operations: ['86-66=20']
Exploring Operation: 21-20=1, Resulting Numbers: [9, 1]
Generated Node #0,0,0: 32:[9, 1] Operation: 21-20=1
Moving to Node #0,0,0
Current State: 32:[9, 1], Operations: ['86-66=20', '21-20=1']
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,32 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 |
[
35,
50,
32,
71
] | 63 | [
"35-32=3",
"71-50=21",
"3*21=63"
] | Current State: 63:[35, 50, 32, 71], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [50, 71, 3]
Generated Node #2: [50, 71, 3] from Operation: 35-32=3
Current State: 63:[50, 71, 3], Operations: ['35-32=3']
Exploring Operation: 71-50=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 71-50=21
Current State: 63:[3, 21], Operations: ['35-32=3', '71-50=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[35, 50, 32, 71], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [50, 71, 3]
Generated Node #0,0: 63:[50, 71, 3] Operation: 35-32=3
Exploring Operation: 50-32=18, Resulting Numbers: [35, 71, 18]
Generated Node #0,1: 63:[35, 71, 18] Operation: 50-32=18
Exploring Operation: 50-35=15, Resulting Numbers: [32, 71, 15]
Generated Node #0,2: 63:[32, 71, 15] Operation: 50-35=15
Exploring Operation: 35+32=67, Resulting Numbers: [50, 71, 67]
Generated Node #0,3: 63:[50, 71, 67] Operation: 35+32=67
Moving to Node #0,0
Current State: 63:[50, 71, 3], Operations: ['35-32=3']
Exploring Operation: 50+3=53, Resulting Numbers: [71, 53]
Generated Node #0,0,0: 63:[71, 53] Operation: 50+3=53
Exploring Operation: 71-50=21, Resulting Numbers: [3, 21]
Generated Node #0,0,1: 63:[3, 21] Operation: 71-50=21
Exploring Operation: 50-3=47, Resulting Numbers: [71, 47]
Generated Node #0,0,2: 63:[71, 47] Operation: 50-3=47
Exploring Operation: 71-3=68, Resulting Numbers: [50, 68]
Generated Node #0,0,3: 63:[50, 68] Operation: 71-3=68
Moving to Node #0,2
Current State: 63:[32, 71, 15], Operations: ['50-35=15']
Exploring Operation: 32-15=17, Resulting Numbers: [71, 17]
Generated Node #0,2,0: 63:[71, 17] Operation: 32-15=17
Exploring Operation: 71-15=56, Resulting Numbers: [32, 56]
Generated Node #0,2,1: 63:[32, 56] Operation: 71-15=56
Exploring Operation: 71-32=39, Resulting Numbers: [15, 39]
Generated Node #0,2,2: 63:[15, 39] Operation: 71-32=39
Exploring Operation: 32+15=47, Resulting Numbers: [71, 47]
Generated Node #0,2,3: 63:[71, 47] Operation: 32+15=47
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[71, 17], Operations: ['50-35=15', '32-15=17']
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,63 unequal: No Solution
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,63 unequal: No Solution
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 63:[32, 56], Operations: ['50-35=15', '71-15=56']
Exploring Operation: 32+56=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Exploring Operation: 32*56=1792, Resulting Numbers: [1792]
1792,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[15, 39], Operations: ['50-35=15', '71-32=39']
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,63 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Exploring Operation: 15*39=585, Resulting Numbers: [585]
585,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 63:[71, 47], Operations: ['50-35=15', '32+15=47']
Exploring Operation: 71*47=3337, Resulting Numbers: [3337]
3337,63 unequal: No Solution
Exploring Operation: 71+47=118, Resulting Numbers: [118]
118,63 unequal: No Solution
Exploring Operation: 71-47=24, Resulting Numbers: [24]
24,63 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: 63:[35, 71, 18], Operations: ['50-32=18']
Exploring Operation: 35-18=17, Resulting Numbers: [71, 17]
Generated Node #0,1,0: 63:[71, 17] Operation: 35-18=17
Exploring Operation: 71-18=53, Resulting Numbers: [35, 53]
Generated Node #0,1,1: 63:[35, 53] Operation: 71-18=53
Exploring Operation: 71-35=36, Resulting Numbers: [18, 36]
Generated Node #0,1,2: 63:[18, 36] Operation: 71-35=36
Exploring Operation: 35+18=53, Resulting Numbers: [71, 53]
Generated Node #0,1,3: 63:[71, 53] Operation: 35+18=53
Moving to Node #0,3
Current State: 63:[50, 71, 67], Operations: ['35+32=67']
Exploring Operation: 71-50=21, Resulting Numbers: [67, 21]
Generated Node #0,3,0: 63:[67, 21] Operation: 71-50=21
Exploring Operation: 67-50=17, Resulting Numbers: [71, 17]
Generated Node #0,3,1: 63:[71, 17] Operation: 67-50=17
Exploring Operation: 50+71=121, Resulting Numbers: [67, 121]
Generated Node #0,3,2: 63:[67, 121] Operation: 50+71=121
Exploring Operation: 71-67=4, Resulting Numbers: [50, 4]
Generated Node #0,3,3: 63:[50, 4] Operation: 71-67=4
Moving to Node #0,0,1
Current State: 63:[3, 21], Operations: ['35-32=3', '71-50=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[35, 50, 32, 71], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [50, 71, 3]
Generated Node #0,0: 63:[50, 71, 3] Operation: 35-32=3
Moving to Node #0,0
Current State: 63:[50, 71, 3], Operations: ['35-32=3']
Exploring Operation: 71-50=21, Resulting Numbers: [3, 21]
Generated Node #0,0,1: 63:[3, 21] Operation: 71-50=21
Moving to Node #0,0,1
Current State: 63:[3, 21], Operations: ['35-32=3', '71-50=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.967882 | hs_4 | sum_heuristic |
[
42,
54,
33,
45
] | 49 | [
"42-33=9",
"45/9=5",
"54-5=49"
] | Current State: 49:[42, 54, 33, 45], Operations: []
Exploring Operation: 42-33=9, Resulting Numbers: [54, 45, 9]
Generated Node #2: [54, 45, 9] from Operation: 42-33=9
Current State: 49:[54, 45, 9], Operations: ['42-33=9']
Exploring Operation: 45/9=5, Resulting Numbers: [54, 5]
Generated Node #3: [54, 5] from Operation: 45/9=5
Current State: 49:[54, 5], Operations: ['42-33=9', '45/9=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[42, 54, 33, 45], Operations: []
Exploring Operation: 42-33=9, Resulting Numbers: [54, 45, 9]
Generated Node #0,0: 49:[54, 45, 9] Operation: 42-33=9
Exploring Operation: 54-42=12, Resulting Numbers: [33, 45, 12]
Generated Node #0,1: 49:[33, 45, 12] Operation: 54-42=12
Exploring Operation: 45-33=12, Resulting Numbers: [42, 54, 12]
Generated Node #0,2: 49:[42, 54, 12] Operation: 45-33=12
Moving to Node #0,0
Current State: 49:[54, 45, 9], Operations: ['42-33=9']
Exploring Operation: 45/9=5, Resulting Numbers: [54, 5]
Generated Node #0,0,0: 49:[54, 5] Operation: 45/9=5
Exploring Operation: 54/9=6, Resulting Numbers: [45, 6]
Generated Node #0,0,1: 49:[45, 6] Operation: 54/9=6
Exploring Operation: 54-45=9, Resulting Numbers: [9, 9]
Generated Node #0,0,2: 49:[9, 9] Operation: 54-45=9
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[9, 9], Operations: ['42-33=9', '54-45=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,49 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[45, 6], Operations: ['42-33=9', '54/9=6']
Exploring Operation: 45*6=270, Resulting Numbers: [270]
270,49 unequal: No Solution
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[54, 5], Operations: ['42-33=9', '45/9=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[42, 54, 33, 45], Operations: []
Exploring Operation: 42-33=9, Resulting Numbers: [54, 45, 9]
Generated Node #0,0: 49:[54, 45, 9] Operation: 42-33=9
Moving to Node #0,0
Current State: 49:[54, 45, 9], Operations: ['42-33=9']
Exploring Operation: 45/9=5, Resulting Numbers: [54, 5]
Generated Node #0,0,0: 49:[54, 5] Operation: 45/9=5
Moving to Node #0,0,0
Current State: 49:[54, 5], Operations: ['42-33=9', '45/9=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
5,
89,
18,
91
] | 100 | [
"89-18=71",
"91-71=20",
"5*20=100"
] | Current State: 100:[5, 89, 18, 91], Operations: []
Exploring Operation: 89-18=71, Resulting Numbers: [5, 91, 71]
Generated Node #2: [5, 91, 71] from Operation: 89-18=71
Current State: 100:[5, 91, 71], Operations: ['89-18=71']
Exploring Operation: 91-71=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 91-71=20
Current State: 100:[5, 20], Operations: ['89-18=71', '91-71=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[5, 89, 18, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [5, 18, 2]
Generated Node #0,0: 100:[5, 18, 2] Operation: 91-89=2
Moving to Node #0,0
Current State: 100:[5, 18, 2], Operations: ['91-89=2']
Exploring Operation: 18+2=20, Resulting Numbers: [5, 20]
Generated Node #0,0,0: 100:[5, 20] Operation: 18+2=20
Moving to Node #0,0,0
Current State: 100:[5, 20], Operations: ['91-89=2', '18+2=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,100 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
42,
72,
22,
20
] | 51 | [
"22-20=2",
"42/2=21",
"72-21=51"
] | Current State: 51:[42, 72, 22, 20], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [42, 72, 2]
Generated Node #2: [42, 72, 2] from Operation: 22-20=2
Current State: 51:[42, 72, 2], Operations: ['22-20=2']
Exploring Operation: 42/2=21, Resulting Numbers: [72, 21]
Generated Node #3: [72, 21] from Operation: 42/2=21
Current State: 51:[72, 21], Operations: ['22-20=2', '42/2=21']
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[42, 72, 22, 20], Operations: []
Exploring Operation: 72-22=50, Resulting Numbers: [42, 20, 50]
Generated Node #0,0: 51:[42, 20, 50] Operation: 72-22=50
Exploring Operation: 72-20=52, Resulting Numbers: [42, 22, 52]
Generated Node #0,1: 51:[42, 22, 52] Operation: 72-20=52
Moving to Node #0,0
Current State: 51:[42, 20, 50], Operations: ['72-22=50']
Exploring Operation: 50-42=8, Resulting Numbers: [20, 8]
Generated Node #0,0,0: 51:[20, 8] Operation: 50-42=8
Exploring Operation: 42-20=22, Resulting Numbers: [50, 22]
Generated Node #0,0,1: 51:[50, 22] Operation: 42-20=22
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[50, 22], Operations: ['72-22=50', '42-20=22']
Exploring Operation: 50+22=72, Resulting Numbers: [72]
72,51 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,51 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 #0,0,0
Current State: 51:[20, 8], Operations: ['72-22=50', '50-42=8']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 20+8=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
Current State: 51:[42, 22, 52], Operations: ['72-20=52']
Exploring Operation: 52-42=10, Resulting Numbers: [22, 10]
Generated Node #0,1,0: 51:[22, 10] Operation: 52-42=10
Exploring Operation: 42-22=20, Resulting Numbers: [52, 20]
Generated Node #0,1,1: 51:[52, 20] Operation: 42-22=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 51:[52, 20], Operations: ['72-20=52', '42-22=20']
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,51 unequal: No Solution
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[22, 10], Operations: ['72-20=52', '52-42=10']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
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