nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 | search_path stringlengths 505 16.8k | rating float64 0 0.99 | search_type stringclasses 5
values | heuristic stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
92,
19,
83,
83
] | 74 | [
"92-19=73",
"83/83=1",
"73+1=74"
] | Current State: 74:[92, 19, 83, 83], Operations: []
Exploring Operation: 92-19=73, Resulting Numbers: [83, 83, 73]
Generated Node #2: [83, 83, 73] from Operation: 92-19=73
Current State: 74:[83, 83, 73], Operations: ['92-19=73']
Exploring Operation: 83/83=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 83/83=1
Current State: 74:[73, 1], Operations: ['92-19=73', '83/83=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[92, 19, 83, 83], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [19, 83, 9]
Generated Node #0,0: 74:[19, 83, 9] Operation: 92-83=9
Exploring Operation: 92-83=9, Resulting Numbers: [19, 83, 9]
Generated Node #0,1: 74:[19, 83, 9] Operation: 92-83=9
Exploring Operation: 92-19=73, Resulting Numbers: [83, 83, 73]
Generated Node #0,2: 74:[83, 83, 73] Operation: 92-19=73
Moving to Node #0,2
Current State: 74:[83, 83, 73], Operations: ['92-19=73']
Exploring Operation: 83-83=0, Resulting Numbers: [73, 0]
Generated Node #0,2,0: 74:[73, 0] Operation: 83-83=0
Exploring Operation: 83-73=10, Resulting Numbers: [83, 10]
Generated Node #0,2,1: 74:[83, 10] Operation: 83-73=10
Exploring Operation: 83/83=1, Resulting Numbers: [73, 1]
Generated Node #0,2,2: 74:[73, 1] Operation: 83/83=1
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 74:[73, 1], Operations: ['92-19=73', '83/83=1']
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[92, 19, 83, 83], Operations: []
Exploring Operation: 92-19=73, Resulting Numbers: [83, 83, 73]
Generated Node #0,2: 74:[83, 83, 73] Operation: 92-19=73
Moving to Node #0,2
Current State: 74:[83, 83, 73], Operations: ['92-19=73']
Exploring Operation: 83/83=1, Resulting Numbers: [73, 1]
Generated Node #0,2,2: 74:[73, 1] Operation: 83/83=1
Moving to Node #0,2,2
Current State: 74:[73, 1], Operations: ['92-19=73', '83/83=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
70,
34,
26,
88
] | 22 | [
"70+34=104",
"26*88=2288",
"2288/104=22"
] | Current State: 22:[70, 34, 26, 88], Operations: []
Exploring Operation: 70+34=104, Resulting Numbers: [26, 88, 104]
Generated Node #2: [26, 88, 104] from Operation: 70+34=104
Current State: 22:[26, 88, 104], Operations: ['70+34=104']
Exploring Operation: 26*88=2288, Resulting Numbers: [104, 2288]
Generated Node #3: [104, 2288] from Operation: 26*88=2288
Current State: 22:[104, 2288], Operations: ['70+34=104', '26*88=2288']
Exploring Operation: 2288/104=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[70, 34, 26, 88], Operations: []
Exploring Operation: 70-26=44, Resulting Numbers: [34, 88, 44]
Generated Node #0,0: 22:[34, 88, 44] Operation: 70-26=44
Exploring Operation: 70-34=36, Resulting Numbers: [26, 88, 36]
Generated Node #0,1: 22:[26, 88, 36] Operation: 70-34=36
Exploring Operation: 88-34=54, Resulting Numbers: [70, 26, 54]
Generated Node #0,2: 22:[70, 26, 54] Operation: 88-34=54
Exploring Operation: 88-70=18, Resulting Numbers: [34, 26, 18]
Generated Node #0,3: 22:[34, 26, 18] Operation: 88-70=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 22:[34, 26, 18], Operations: ['88-70=18']
Exploring Operation: 34-18=16, Resulting Numbers: [26, 16]
Generated Node #0,3,0: 22:[26, 16] Operation: 34-18=16
Exploring Operation: 34+18=52, Resulting Numbers: [26, 52]
Generated Node #0,3,1: 22:[26, 52] Operation: 34+18=52
Exploring Operation: 34-26=8, Resulting Numbers: [18, 8]
Generated Node #0,3,2: 22:[18, 8] Operation: 34-26=8
Exploring Operation: 26-18=8, Resulting Numbers: [34, 8]
Generated Node #0,3,3: 22:[34, 8] Operation: 26-18=8
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 22:[18, 8], Operations: ['88-70=18', '34-26=8']
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,22 unequal: No Solution
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 22:[26, 16], Operations: ['88-70=18', '34-18=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 26*16=416, Resulting Numbers: [416]
416,22 unequal: No Solution
No 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: 22:[34, 8], Operations: ['88-70=18', '26-18=8']
Exploring Operation: 34*8=272, Resulting Numbers: [272]
272,22 unequal: No Solution
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,22 unequal: No Solution
No 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: 22:[26, 52], Operations: ['88-70=18', '34+18=52']
Exploring Operation: 26+52=78, Resulting Numbers: [78]
78,22 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 26*52=1352, Resulting Numbers: [1352]
1352,22 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,22 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: 22:[26, 88, 36], Operations: ['70-34=36']
Exploring Operation: 26+88=114, Resulting Numbers: [36, 114]
Generated Node #0,1,0: 22:[36, 114] Operation: 26+88=114
Exploring Operation: 36-26=10, Resulting Numbers: [88, 10]
Generated Node #0,1,1: 22:[88, 10] Operation: 36-26=10
Exploring Operation: 88-36=52, Resulting Numbers: [26, 52]
Generated Node #0,1,2: 22:[26, 52] Operation: 88-36=52
Exploring Operation: 88-26=62, Resulting Numbers: [36, 62]
Generated Node #0,1,3: 22:[36, 62] Operation: 88-26=62
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 22:[26, 52], Operations: ['70-34=36', '88-36=52']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 26+52=78, Resulting Numbers: [78]
78,22 unequal: No Solution
Exploring Operation: 26*52=1352, Resulting Numbers: [1352]
1352,22 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,22 unequal: No Solution
No 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: 22:[36, 62], Operations: ['70-34=36', '88-26=62']
Exploring Operation: 36*62=2232, Resulting Numbers: [2232]
2232,22 unequal: No Solution
Exploring Operation: 36+62=98, Resulting Numbers: [98]
98,22 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,22 unequal: No Solution
No 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: 22:[88, 10], Operations: ['70-34=36', '36-26=10']
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,22 unequal: No Solution
Exploring Operation: 88*10=880, Resulting Numbers: [880]
880,22 unequal: No Solution
Exploring Operation: 88+10=98, Resulting Numbers: [98]
98,22 unequal: No Solution
No 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: 22:[36, 114], Operations: ['70-34=36', '26+88=114']
Exploring Operation: 36*114=4104, Resulting Numbers: [4104]
4104,22 unequal: No Solution
Exploring Operation: 36+114=150, Resulting Numbers: [150]
150,22 unequal: No Solution
Exploring Operation: 114-36=78, Resulting Numbers: [78]
78,22 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: 22:[70, 26, 54], Operations: ['88-34=54']
Exploring Operation: 70-54=16, Resulting Numbers: [26, 16]
Generated Node #0,2,0: 22:[26, 16] Operation: 70-54=16
Exploring Operation: 70+26=96, Resulting Numbers: [54, 96]
Generated Node #0,2,1: 22:[54, 96] Operation: 70+26=96
Exploring Operation: 54-26=28, Resulting Numbers: [70, 28]
Generated Node #0,2,2: 22:[70, 28] Operation: 54-26=28
Exploring Operation: 70-26=44, Resulting Numbers: [54, 44]
Generated Node #0,2,3: 22:[54, 44] Operation: 70-26=44
Moving to Node #0,2,0
Current State: 22:[26, 16], Operations: ['88-34=54', '70-54=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Exploring Operation: 26*16=416, Resulting Numbers: [416]
416,22 unequal: No Solution
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Moving to Node #0,2,3
Current State: 22:[54, 44], Operations: ['88-34=54', '70-26=44']
Exploring Operation: 54*44=2376, Resulting Numbers: [2376]
2376,22 unequal: No Solution
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[70, 28], Operations: ['88-34=54', '54-26=28']
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 70*28=1960, Resulting Numbers: [1960]
1960,22 unequal: No Solution
Exploring Operation: 70+28=98, Resulting Numbers: [98]
98,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[54, 96], Operations: ['88-34=54', '70+26=96']
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 54*96=5184, Resulting Numbers: [5184]
5184,22 unequal: No Solution
Exploring Operation: 54+96=150, Resulting Numbers: [150]
150,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[34, 88, 44], Operations: ['70-26=44']
Exploring Operation: 88/44=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 22:[34, 2] Operation: 88/44=2
Exploring Operation: 88-44=44, Resulting Numbers: [34, 44]
Generated Node #0,0,1: 22:[34, 44] Operation: 88-44=44
Exploring Operation: 44-34=10, Resulting Numbers: [88, 10]
Generated Node #0,0,2: 22:[88, 10] Operation: 44-34=10
Exploring Operation: 88-34=54, Resulting Numbers: [44, 54]
Generated Node #0,0,3: 22:[44, 54] Operation: 88-34=54
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[34, 2], Operations: ['70-26=44', '88/44=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,22 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,22 unequal: No Solution
No 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: 22:[34, 44], Operations: ['70-26=44', '88-44=44']
Exploring Operation: 34*44=1496, Resulting Numbers: [1496]
1496,22 unequal: No Solution
Exploring Operation: 34+44=78, Resulting Numbers: [78]
78,22 unequal: No Solution
Exploring Operation: 44-34=10, Resulting Numbers: [10]
10,22 unequal: No Solution
No 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: 22:[44, 54], Operations: ['70-26=44', '88-34=54']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Exploring Operation: 44+54=98, Resulting Numbers: [98]
98,22 unequal: No Solution
Exploring Operation: 44*54=2376, Resulting Numbers: [2376]
2376,22 unequal: No Solution
No 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: 22:[88, 10], Operations: ['70-26=44', '44-34=10']
Exploring Operation: 88+10=98, Resulting Numbers: [98]
98,22 unequal: No Solution
Exploring Operation: 88*10=880, Resulting Numbers: [880]
880,22 unequal: No Solution
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
58,
13,
11,
25
] | 57 | [
"58+13=71",
"25-11=14",
"71-14=57"
] | Current State: 57:[58, 13, 11, 25], Operations: []
Exploring Operation: 58+13=71, Resulting Numbers: [11, 25, 71]
Generated Node #2: [11, 25, 71] from Operation: 58+13=71
Current State: 57:[11, 25, 71], Operations: ['58+13=71']
Exploring Operation: 25-11=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 25-11=14
Current State: 57:[71, 14], Operations: ['58+13=71', '25-11=14']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[58, 13, 11, 25], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [58, 25, 2]
Generated Node #0,0: 57:[58, 25, 2] Operation: 13-11=2
Exploring Operation: 13+11=24, Resulting Numbers: [58, 25, 24]
Generated Node #0,1: 57:[58, 25, 24] Operation: 13+11=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[58, 25, 2], Operations: ['13-11=2']
Exploring Operation: 25-2=23, Resulting Numbers: [58, 23]
Generated Node #0,0,0: 57:[58, 23] Operation: 25-2=23
Exploring Operation: 58-2=56, Resulting Numbers: [25, 56]
Generated Node #0,0,1: 57:[25, 56] Operation: 58-2=56
Moving to Node #0,0,0
Current State: 57:[58, 23], Operations: ['13-11=2', '25-2=23']
Exploring Operation: 58+23=81, Resulting Numbers: [81]
81,57 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[25, 56], Operations: ['13-11=2', '58-2=56']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 25+56=81, Resulting Numbers: [81]
81,57 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 #0,1
Current State: 57:[58, 25, 24], Operations: ['13+11=24']
Exploring Operation: 25-24=1, Resulting Numbers: [58, 1]
Generated Node #0,1,0: 57:[58, 1] Operation: 25-24=1
Exploring Operation: 25+24=49, Resulting Numbers: [58, 49]
Generated Node #0,1,1: 57:[58, 49] Operation: 25+24=49
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 57:[58, 1], Operations: ['13+11=24', '25-24=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[58, 13, 11, 25], Operations: []
Exploring Operation: 13+11=24, Resulting Numbers: [58, 25, 24]
Generated Node #0,1: 57:[58, 25, 24] Operation: 13+11=24
Moving to Node #0,1
Current State: 57:[58, 25, 24], Operations: ['13+11=24']
Exploring Operation: 25-24=1, Resulting Numbers: [58, 1]
Generated Node #0,1,0: 57:[58, 1] Operation: 25-24=1
Moving to Node #0,1,0
Current State: 57:[58, 1], Operations: ['13+11=24', '25-24=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
72,
35,
8,
48
] | 50 | [
"72+48=120",
"120/8=15",
"35+15=50"
] | Current State: 50:[72, 35, 8, 48], Operations: []
Exploring Operation: 72+48=120, Resulting Numbers: [35, 8, 120]
Generated Node #2: [35, 8, 120] from Operation: 72+48=120
Current State: 50:[35, 8, 120], Operations: ['72+48=120']
Exploring Operation: 120/8=15, Resulting Numbers: [35, 15]
Generated Node #3: [35, 15] from Operation: 120/8=15
Current State: 50:[35, 15], Operations: ['72+48=120', '120/8=15']
Exploring Operation: 35+15=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[72, 35, 8, 48], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [35, 48, 9]
Generated Node #0,0: 50:[35, 48, 9] Operation: 72/8=9
Exploring Operation: 72-35=37, Resulting Numbers: [8, 48, 37]
Generated Node #0,1: 50:[8, 48, 37] Operation: 72-35=37
Exploring Operation: 72-48=24, Resulting Numbers: [35, 8, 24]
Generated Node #0,2: 50:[35, 8, 24] Operation: 72-48=24
Moving to Node #0,0
Current State: 50:[35, 48, 9], Operations: ['72/8=9']
Exploring Operation: 48-35=13, Resulting Numbers: [9, 13]
Generated Node #0,0,0: 50:[9, 13] Operation: 48-35=13
Exploring Operation: 35-9=26, Resulting Numbers: [48, 26]
Generated Node #0,0,1: 50:[48, 26] Operation: 35-9=26
Exploring Operation: 35+9=44, Resulting Numbers: [48, 44]
Generated Node #0,0,2: 50:[48, 44] Operation: 35+9=44
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[48, 26], Operations: ['72/8=9', '35-9=26']
Exploring Operation: 48*26=1248, Resulting Numbers: [1248]
1248,50 unequal: No Solution
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,50 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 #0,0,0
Current State: 50:[9, 13], Operations: ['72/8=9', '48-35=13']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 9*13=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,50 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 #0,0,2
Current State: 50:[48, 44], Operations: ['72/8=9', '35+9=44']
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 48*44=2112, Resulting Numbers: [2112]
2112,50 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: 50:[35, 8, 24], Operations: ['72-48=24']
Exploring Operation: 35+8=43, Resulting Numbers: [24, 43]
Generated Node #0,2,0: 50:[24, 43] Operation: 35+8=43
Exploring Operation: 35-24=11, Resulting Numbers: [8, 11]
Generated Node #0,2,1: 50:[8, 11] Operation: 35-24=11
Exploring Operation: 35-8=27, Resulting Numbers: [24, 27]
Generated Node #0,2,2: 50:[24, 27] Operation: 35-8=27
Moving to Node #0,1
Current State: 50:[8, 48, 37], Operations: ['72-35=37']
Exploring Operation: 48-37=11, Resulting Numbers: [8, 11]
Generated Node #0,1,0: 50:[8, 11] Operation: 48-37=11
Exploring Operation: 37-8=29, Resulting Numbers: [48, 29]
Generated Node #0,1,1: 50:[48, 29] Operation: 37-8=29
Exploring Operation: 8+37=45, Resulting Numbers: [48, 45]
Generated Node #0,1,2: 50:[48, 45] Operation: 8+37=45
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[8, 11], Operations: ['72-35=37', '48-37=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,50 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,50 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:[48, 29], Operations: ['72-35=37', '37-8=29']
Exploring Operation: 48+29=77, Resulting Numbers: [77]
77,50 unequal: No Solution
Exploring Operation: 48*29=1392, Resulting Numbers: [1392]
1392,50 unequal: No Solution
Exploring Operation: 48-29=19, Resulting Numbers: [19]
19,50 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:[48, 45], Operations: ['72-35=37', '8+37=45']
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,50 unequal: No Solution
Exploring Operation: 48+45=93, Resulting Numbers: [93]
93,50 unequal: No Solution
Exploring Operation: 48*45=2160, Resulting Numbers: [2160]
2160,50 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: 50:[8, 11], Operations: ['72-48=24', '35-24=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,50 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[24, 27], Operations: ['72-48=24', '35-8=27']
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,50 unequal: No Solution
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,50 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[24, 43], Operations: ['72-48=24', '35+8=43']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 24+43=67, Resulting Numbers: [67]
67,50 unequal: No Solution
Exploring Operation: 24*43=1032, Resulting Numbers: [1032]
1032,50 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
72,
60,
76,
34
] | 18 | [
"72*34=2448",
"60+76=136",
"2448/136=18"
] | Current State: 18:[72, 60, 76, 34], Operations: []
Exploring Operation: 72*34=2448, Resulting Numbers: [60, 76, 2448]
Generated Node #2: [60, 76, 2448] from Operation: 72*34=2448
Current State: 18:[60, 76, 2448], Operations: ['72*34=2448']
Exploring Operation: 60+76=136, Resulting Numbers: [2448, 136]
Generated Node #3: [2448, 136] from Operation: 60+76=136
Current State: 18:[2448, 136], Operations: ['72*34=2448', '60+76=136']
Exploring Operation: 2448/136=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[72, 60, 76, 34], Operations: []
Exploring Operation: 72-60=12, Resulting Numbers: [76, 34, 12]
Generated Node #0,0: 18:[76, 34, 12] Operation: 72-60=12
Exploring Operation: 76-60=16, Resulting Numbers: [72, 34, 16]
Generated Node #0,1: 18:[72, 34, 16] Operation: 76-60=16
Exploring Operation: 76-72=4, Resulting Numbers: [60, 34, 4]
Generated Node #0,2: 18:[60, 34, 4] Operation: 76-72=4
Moving to Node #0,2
Current State: 18:[60, 34, 4], Operations: ['76-72=4']
Exploring Operation: 60-4=56, Resulting Numbers: [34, 56]
Generated Node #0,2,0: 18:[34, 56] Operation: 60-4=56
Exploring Operation: 60/4=15, Resulting Numbers: [34, 15]
Generated Node #0,2,1: 18:[34, 15] Operation: 60/4=15
Exploring Operation: 60-34=26, Resulting Numbers: [4, 26]
Generated Node #0,2,2: 18:[4, 26] Operation: 60-34=26
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[4, 26], Operations: ['76-72=4', '60-34=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,18 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[34, 15], Operations: ['76-72=4', '60/4=15']
Exploring Operation: 34*15=510, Resulting Numbers: [510]
510,18 unequal: No Solution
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[34, 56], Operations: ['76-72=4', '60-4=56']
Exploring Operation: 34*56=1904, Resulting Numbers: [1904]
1904,18 unequal: No Solution
Exploring Operation: 34+56=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 18:[72, 34, 16], Operations: ['76-60=16']
Exploring Operation: 72-16=56, Resulting Numbers: [34, 56]
Generated Node #0,1,0: 18:[34, 56] Operation: 72-16=56
Exploring Operation: 72-34=38, Resulting Numbers: [16, 38]
Generated Node #0,1,1: 18:[16, 38] Operation: 72-34=38
Exploring Operation: 34-16=18, Resulting Numbers: [72, 18]
Generated Node #0,1,2: 18:[72, 18] Operation: 34-16=18
Moving to Node #0,0
Current State: 18:[76, 34, 12], Operations: ['72-60=12']
Exploring Operation: 34-12=22, Resulting Numbers: [76, 22]
Generated Node #0,0,0: 18:[76, 22] Operation: 34-12=22
Exploring Operation: 76-12=64, Resulting Numbers: [34, 64]
Generated Node #0,0,1: 18:[34, 64] Operation: 76-12=64
Exploring Operation: 76-34=42, Resulting Numbers: [12, 42]
Generated Node #0,0,2: 18:[12, 42] Operation: 76-34=42
Moving to Node #0,1,1
Current State: 18:[16, 38], Operations: ['76-60=16', '72-34=38']
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,18 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[12, 42], Operations: ['72-60=12', '76-34=42']
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,18 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,18 unequal: No Solution
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[72, 18], Operations: ['76-60=16', '34-16=18']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,18 unequal: No Solution
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[34, 56], Operations: ['76-60=16', '72-16=56']
Exploring Operation: 34*56=1904, Resulting Numbers: [1904]
1904,18 unequal: No Solution
Exploring Operation: 34+56=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[34, 64], Operations: ['72-60=12', '76-12=64']
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,18 unequal: No Solution
Exploring Operation: 34*64=2176, Resulting Numbers: [2176]
2176,18 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[76, 22], Operations: ['72-60=12', '34-12=22']
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,18 unequal: No Solution
Exploring Operation: 76+22=98, Resulting Numbers: [98]
98,18 unequal: No Solution
Exploring Operation: 76*22=1672, Resulting Numbers: [1672]
1672,18 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
53,
26,
96,
32
] | 81 | [
"53-26=27",
"96/32=3",
"27*3=81"
] | Current State: 81:[53, 26, 96, 32], Operations: []
Exploring Operation: 53-26=27, Resulting Numbers: [96, 32, 27]
Generated Node #2: [96, 32, 27] from Operation: 53-26=27
Current State: 81:[96, 32, 27], Operations: ['53-26=27']
Exploring Operation: 96/32=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 96/32=3
Current State: 81:[27, 3], Operations: ['53-26=27', '96/32=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[53, 26, 96, 32], Operations: []
Exploring Operation: 53+26=79, Resulting Numbers: [96, 32, 79]
Generated Node #0,0: 81:[96, 32, 79] Operation: 53+26=79
Exploring Operation: 53+32=85, Resulting Numbers: [26, 96, 85]
Generated Node #0,1: 81:[26, 96, 85] Operation: 53+32=85
Exploring Operation: 96-53=43, Resulting Numbers: [26, 32, 43]
Generated Node #0,2: 81:[26, 32, 43] Operation: 96-53=43
Exploring Operation: 53-32=21, Resulting Numbers: [26, 96, 21]
Generated Node #0,3: 81:[26, 96, 21] Operation: 53-32=21
Exploring Operation: 53-26=27, Resulting Numbers: [96, 32, 27]
Generated Node #0,4: 81:[96, 32, 27] Operation: 53-26=27
Moving to Node #0,1
Current State: 81:[26, 96, 85], Operations: ['53+32=85']
Exploring Operation: 96-85=11, Resulting Numbers: [26, 11]
Generated Node #0,1,0: 81:[26, 11] Operation: 96-85=11
Exploring Operation: 96-26=70, Resulting Numbers: [85, 70]
Generated Node #0,1,1: 81:[85, 70] Operation: 96-26=70
Exploring Operation: 26+96=122, Resulting Numbers: [85, 122]
Generated Node #0,1,2: 81:[85, 122] Operation: 26+96=122
Exploring Operation: 26+85=111, Resulting Numbers: [96, 111]
Generated Node #0,1,3: 81:[96, 111] Operation: 26+85=111
Exploring Operation: 85-26=59, Resulting Numbers: [96, 59]
Generated Node #0,1,4: 81:[96, 59] Operation: 85-26=59
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[26, 11], Operations: ['53+32=85', '96-85=11']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,81 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,81 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[85, 70], Operations: ['53+32=85', '96-26=70']
Exploring Operation: 85*70=5950, Resulting Numbers: [5950]
5950,81 unequal: No Solution
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,81 unequal: No Solution
Exploring Operation: 85+70=155, Resulting Numbers: [155]
155,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 81:[96, 59], Operations: ['53+32=85', '85-26=59']
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 96*59=5664, Resulting Numbers: [5664]
5664,81 unequal: No Solution
Exploring Operation: 96+59=155, Resulting Numbers: [155]
155,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[85, 122], Operations: ['53+32=85', '26+96=122']
Exploring Operation: 85+122=207, Resulting Numbers: [207]
207,81 unequal: No Solution
Exploring Operation: 122-85=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 85*122=10370, Resulting Numbers: [10370]
10370,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 81:[96, 111], Operations: ['53+32=85', '26+85=111']
Exploring Operation: 96+111=207, Resulting Numbers: [207]
207,81 unequal: No Solution
Exploring Operation: 96*111=10656, Resulting Numbers: [10656]
10656,81 unequal: No Solution
Exploring Operation: 111-96=15, Resulting Numbers: [15]
15,81 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: 81:[96, 32, 27], Operations: ['53-26=27']
Exploring Operation: 96-27=69, Resulting Numbers: [32, 69]
Generated Node #0,4,0: 81:[32, 69] Operation: 96-27=69
Exploring Operation: 32-27=5, Resulting Numbers: [96, 5]
Generated Node #0,4,1: 81:[96, 5] Operation: 32-27=5
Exploring Operation: 32+27=59, Resulting Numbers: [96, 59]
Generated Node #0,4,2: 81:[96, 59] Operation: 32+27=59
Exploring Operation: 96-32=64, Resulting Numbers: [27, 64]
Generated Node #0,4,3: 81:[27, 64] Operation: 96-32=64
Exploring Operation: 96/32=3, Resulting Numbers: [27, 3]
Generated Node #0,4,4: 81:[27, 3] Operation: 96/32=3
Moving to Node #0,0
Current State: 81:[96, 32, 79], Operations: ['53+26=79']
Exploring Operation: 96-79=17, Resulting Numbers: [32, 17]
Generated Node #0,0,0: 81:[32, 17] Operation: 96-79=17
Exploring Operation: 96/32=3, Resulting Numbers: [79, 3]
Generated Node #0,0,1: 81:[79, 3] Operation: 96/32=3
Exploring Operation: 32+79=111, Resulting Numbers: [96, 111]
Generated Node #0,0,2: 81:[96, 111] Operation: 32+79=111
Exploring Operation: 96-32=64, Resulting Numbers: [79, 64]
Generated Node #0,0,3: 81:[79, 64] Operation: 96-32=64
Exploring Operation: 79-32=47, Resulting Numbers: [96, 47]
Generated Node #0,0,4: 81:[96, 47] Operation: 79-32=47
Moving to Node #0,2
Current State: 81:[26, 32, 43], Operations: ['96-53=43']
Exploring Operation: 43-32=11, Resulting Numbers: [26, 11]
Generated Node #0,2,0: 81:[26, 11] Operation: 43-32=11
Exploring Operation: 32-26=6, Resulting Numbers: [43, 6]
Generated Node #0,2,1: 81:[43, 6] Operation: 32-26=6
Exploring Operation: 43-26=17, Resulting Numbers: [32, 17]
Generated Node #0,2,2: 81:[32, 17] Operation: 43-26=17
Exploring Operation: 26+43=69, Resulting Numbers: [32, 69]
Generated Node #0,2,3: 81:[32, 69] Operation: 26+43=69
Exploring Operation: 32+43=75, Resulting Numbers: [26, 75]
Generated Node #0,2,4: 81:[26, 75] Operation: 32+43=75
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 81:[26, 11], Operations: ['96-53=43', '43-32=11']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,81 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 81:[26, 75], Operations: ['96-53=43', '32+43=75']
Exploring Operation: 26*75=1950, Resulting Numbers: [1950]
1950,81 unequal: No Solution
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,81 unequal: No Solution
Exploring Operation: 26+75=101, Resulting Numbers: [101]
101,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 81:[32, 17], Operations: ['96-53=43', '43-26=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,81 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,81 unequal: No Solution
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 81:[32, 69], Operations: ['96-53=43', '26+43=69']
Exploring Operation: 32+69=101, Resulting Numbers: [101]
101,81 unequal: No Solution
Exploring Operation: 32*69=2208, Resulting Numbers: [2208]
2208,81 unequal: No Solution
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 81:[43, 6], Operations: ['96-53=43', '32-26=6']
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,81 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 43*6=258, Resulting Numbers: [258]
258,81 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: 81:[26, 96, 21], Operations: ['53-32=21']
Exploring Operation: 96-26=70, Resulting Numbers: [21, 70]
Generated Node #0,3,0: 81:[21, 70] Operation: 96-26=70
Exploring Operation: 96+21=117, Resulting Numbers: [26, 117]
Generated Node #0,3,1: 81:[26, 117] Operation: 96+21=117
Exploring Operation: 26+21=47, Resulting Numbers: [96, 47]
Generated Node #0,3,2: 81:[96, 47] Operation: 26+21=47
Exploring Operation: 96-21=75, Resulting Numbers: [26, 75]
Generated Node #0,3,3: 81:[26, 75] Operation: 96-21=75
Exploring Operation: 26-21=5, Resulting Numbers: [96, 5]
Generated Node #0,3,4: 81:[96, 5] Operation: 26-21=5
Moving to Node #0,4,4
Current State: 81:[27, 3], Operations: ['53-26=27', '96/32=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[53, 26, 96, 32], Operations: []
Exploring Operation: 53-26=27, Resulting Numbers: [96, 32, 27]
Generated Node #0,4: 81:[96, 32, 27] Operation: 53-26=27
Moving to Node #0,4
Current State: 81:[96, 32, 27], Operations: ['53-26=27']
Exploring Operation: 96/32=3, Resulting Numbers: [27, 3]
Generated Node #0,4,4: 81:[27, 3] Operation: 96/32=3
Moving to Node #0,4,4
Current State: 81:[27, 3], Operations: ['53-26=27', '96/32=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.940972 | hs_5 | mult_heuristic |
[
87,
45,
20,
14
] | 22 | [
"87+45=132",
"20-14=6",
"132/6=22"
] | Current State: 22:[87, 45, 20, 14], Operations: []
Exploring Operation: 87+45=132, Resulting Numbers: [20, 14, 132]
Generated Node #2: [20, 14, 132] from Operation: 87+45=132
Current State: 22:[20, 14, 132], Operations: ['87+45=132']
Exploring Operation: 20-14=6, Resulting Numbers: [132, 6]
Generated Node #3: [132, 6] from Operation: 20-14=6
Current State: 22:[132, 6], Operations: ['87+45=132', '20-14=6']
Exploring Operation: 132/6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[87, 45, 20, 14], Operations: []
Exploring Operation: 87-20=67, Resulting Numbers: [45, 14, 67]
Generated Node #0,0: 22:[45, 14, 67] Operation: 87-20=67
Exploring Operation: 87-45=42, Resulting Numbers: [20, 14, 42]
Generated Node #0,1: 22:[20, 14, 42] Operation: 87-45=42
Moving to Node #0,1
Current State: 22:[20, 14, 42], Operations: ['87-45=42']
Exploring Operation: 42-20=22, Resulting Numbers: [14, 22]
Generated Node #0,1,0: 22:[14, 22] Operation: 42-20=22
Exploring Operation: 42/14=3, Resulting Numbers: [20, 3]
Generated Node #0,1,1: 22:[20, 3] Operation: 42/14=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[14, 22], Operations: ['87-45=42', '42-20=22']
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[20, 3], Operations: ['87-45=42', '42/14=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,22 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,22 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: 22:[45, 14, 67], Operations: ['87-20=67']
Exploring Operation: 45-14=31, Resulting Numbers: [67, 31]
Generated Node #0,0,0: 22:[67, 31] Operation: 45-14=31
Exploring Operation: 67-45=22, Resulting Numbers: [14, 22]
Generated Node #0,0,1: 22:[14, 22] Operation: 67-45=22
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[14, 22], Operations: ['87-20=67', '67-45=22']
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[67, 31], Operations: ['87-20=67', '45-14=31']
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Exploring Operation: 67+31=98, Resulting Numbers: [98]
98,22 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 |
[
79,
15,
67,
69
] | 23 | [
"79-15=64",
"67-64=3",
"69/3=23"
] | Current State: 23:[79, 15, 67, 69], Operations: []
Exploring Operation: 79-15=64, Resulting Numbers: [67, 69, 64]
Generated Node #2: [67, 69, 64] from Operation: 79-15=64
Current State: 23:[67, 69, 64], Operations: ['79-15=64']
Exploring Operation: 67-64=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 67-64=3
Current State: 23:[69, 3], Operations: ['79-15=64', '67-64=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[79, 15, 67, 69], Operations: []
Exploring Operation: 79-67=12, Resulting Numbers: [15, 69, 12]
Generated Node #0,0: 23:[15, 69, 12] Operation: 79-67=12
Exploring Operation: 79-69=10, Resulting Numbers: [15, 67, 10]
Generated Node #0,1: 23:[15, 67, 10] Operation: 79-69=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[15, 69, 12], Operations: ['79-67=12']
Exploring Operation: 69-12=57, Resulting Numbers: [15, 57]
Generated Node #0,0,0: 23:[15, 57] Operation: 69-12=57
Exploring Operation: 69-15=54, Resulting Numbers: [12, 54]
Generated Node #0,0,1: 23:[12, 54] Operation: 69-15=54
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[15, 57], Operations: ['79-67=12', '69-12=57']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 23:[12, 54], Operations: ['79-67=12', '69-15=54']
Exploring Operation: 12+54=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[15, 67, 10], Operations: ['79-69=10']
Exploring Operation: 67-15=52, Resulting Numbers: [10, 52]
Generated Node #0,1,0: 23:[10, 52] Operation: 67-15=52
Exploring Operation: 67-10=57, Resulting Numbers: [15, 57]
Generated Node #0,1,1: 23:[15, 57] Operation: 67-10=57
Moving to Node #0,1,0
Current State: 23:[10, 52], Operations: ['79-69=10', '67-15=52']
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,23 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[15, 57], Operations: ['79-69=10', '67-10=57']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
91,
2,
61,
46
] | 53 | [
"91+61=152",
"152-46=106",
"106/2=53"
] | Current State: 53:[91, 2, 61, 46], Operations: []
Exploring Operation: 91+61=152, Resulting Numbers: [2, 46, 152]
Generated Node #2: [2, 46, 152] from Operation: 91+61=152
Current State: 53:[2, 46, 152], Operations: ['91+61=152']
Exploring Operation: 152-46=106, Resulting Numbers: [2, 106]
Generated Node #3: [2, 106] from Operation: 152-46=106
Current State: 53:[2, 106], Operations: ['91+61=152', '152-46=106']
Exploring Operation: 106/2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[91, 2, 61, 46], Operations: []
Exploring Operation: 91-2=89, Resulting Numbers: [61, 46, 89]
Generated Node #0,0: 53:[61, 46, 89] Operation: 91-2=89
Exploring Operation: 61-2=59, Resulting Numbers: [91, 46, 59]
Generated Node #0,1: 53:[91, 46, 59] Operation: 61-2=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[61, 46, 89], Operations: ['91-2=89']
Exploring Operation: 89-46=43, Resulting Numbers: [61, 43]
Generated Node #0,0,0: 53:[61, 43] Operation: 89-46=43
Exploring Operation: 89-61=28, Resulting Numbers: [46, 28]
Generated Node #0,0,1: 53:[46, 28] Operation: 89-61=28
Moving to Node #0,0,0
Current State: 53:[61, 43], Operations: ['91-2=89', '89-46=43']
Exploring Operation: 61+43=104, Resulting Numbers: [104]
104,53 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[46, 28], Operations: ['91-2=89', '89-61=28']
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[91, 46, 59], Operations: ['61-2=59']
Exploring Operation: 91-46=45, Resulting Numbers: [59, 45]
Generated Node #0,1,0: 53:[59, 45] Operation: 91-46=45
Exploring Operation: 91-59=32, Resulting Numbers: [46, 32]
Generated Node #0,1,1: 53:[46, 32] Operation: 91-59=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[59, 45], Operations: ['61-2=59', '91-46=45']
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Exploring Operation: 59+45=104, Resulting Numbers: [104]
104,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[46, 32], Operations: ['61-2=59', '91-59=32']
Exploring Operation: 46-32=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Exploring Operation: 46+32=78, Resulting Numbers: [78]
78,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
36,
24,
50,
8
] | 88 | [
"50-36=14",
"8*14=112",
"112-24=88"
] | Current State: 88:[36, 24, 50, 8], Operations: []
Exploring Operation: 50-36=14, Resulting Numbers: [24, 8, 14]
Generated Node #2: [24, 8, 14] from Operation: 50-36=14
Current State: 88:[24, 8, 14], Operations: ['50-36=14']
Exploring Operation: 8*14=112, Resulting Numbers: [24, 112]
Generated Node #3: [24, 112] from Operation: 8*14=112
Current State: 88:[24, 112], Operations: ['50-36=14', '8*14=112']
Exploring Operation: 112-24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[36, 24, 50, 8], Operations: []
Exploring Operation: 36+50=86, Resulting Numbers: [24, 8, 86]
Generated Node #0,0: 88:[24, 8, 86] Operation: 36+50=86
Exploring Operation: 50-36=14, Resulting Numbers: [24, 8, 14]
Generated Node #0,1: 88:[24, 8, 14] Operation: 50-36=14
Exploring Operation: 36-24=12, Resulting Numbers: [50, 8, 12]
Generated Node #0,2: 88:[50, 8, 12] Operation: 36-24=12
Exploring Operation: 36+8=44, Resulting Numbers: [24, 50, 44]
Generated Node #0,3: 88:[24, 50, 44] Operation: 36+8=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[24, 8, 86], Operations: ['36+50=86']
Exploring Operation: 8+86=94, Resulting Numbers: [24, 94]
Generated Node #0,0,0: 88:[24, 94] Operation: 8+86=94
Exploring Operation: 24+8=32, Resulting Numbers: [86, 32]
Generated Node #0,0,1: 88:[86, 32] Operation: 24+8=32
Exploring Operation: 24/8=3, Resulting Numbers: [86, 3]
Generated Node #0,0,2: 88:[86, 3] Operation: 24/8=3
Exploring Operation: 24-8=16, Resulting Numbers: [86, 16]
Generated Node #0,0,3: 88:[86, 16] Operation: 24-8=16
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[86, 3], Operations: ['36+50=86', '24/8=3']
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,88 unequal: No Solution
Exploring Operation: 86*3=258, Resulting Numbers: [258]
258,88 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 88:[86, 16], Operations: ['36+50=86', '24-8=16']
Exploring Operation: 86*16=1376, Resulting Numbers: [1376]
1376,88 unequal: No Solution
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,88 unequal: No Solution
Exploring Operation: 86+16=102, Resulting Numbers: [102]
102,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[24, 94], Operations: ['36+50=86', '8+86=94']
Exploring Operation: 94-24=70, Resulting Numbers: [70]
70,88 unequal: No Solution
Exploring Operation: 24+94=118, Resulting Numbers: [118]
118,88 unequal: No Solution
Exploring Operation: 24*94=2256, Resulting Numbers: [2256]
2256,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[86, 32], Operations: ['36+50=86', '24+8=32']
Exploring Operation: 86*32=2752, Resulting Numbers: [2752]
2752,88 unequal: No Solution
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,88 unequal: No Solution
Exploring Operation: 86+32=118, Resulting Numbers: [118]
118,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[24, 8, 14], Operations: ['50-36=14']
Exploring Operation: 24-14=10, Resulting Numbers: [8, 10]
Generated Node #0,1,0: 88:[8, 10] Operation: 24-14=10
Exploring Operation: 24/8=3, Resulting Numbers: [14, 3]
Generated Node #0,1,1: 88:[14, 3] Operation: 24/8=3
Exploring Operation: 14-8=6, Resulting Numbers: [24, 6]
Generated Node #0,1,2: 88:[24, 6] Operation: 14-8=6
Exploring Operation: 8+14=22, Resulting Numbers: [24, 22]
Generated Node #0,1,3: 88:[24, 22] Operation: 8+14=22
Moving to Node #0,1,0
Current State: 88:[8, 10], Operations: ['50-36=14', '24-14=10']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,88 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Moving to Node #0,1,3
Current State: 88:[24, 22], Operations: ['50-36=14', '8+14=22']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[24, 6], Operations: ['50-36=14', '14-8=6']
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,88 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[14, 3], Operations: ['50-36=14', '24/8=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,88 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,88 unequal: No Solution
No 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: 88:[50, 8, 12], Operations: ['36-24=12']
Exploring Operation: 50-12=38, Resulting Numbers: [8, 38]
Generated Node #0,2,0: 88:[8, 38] Operation: 50-12=38
Exploring Operation: 50-8=42, Resulting Numbers: [12, 42]
Generated Node #0,2,1: 88:[12, 42] Operation: 50-8=42
Exploring Operation: 12-8=4, Resulting Numbers: [50, 4]
Generated Node #0,2,2: 88:[50, 4] Operation: 12-8=4
Exploring Operation: 8+12=20, Resulting Numbers: [50, 20]
Generated Node #0,2,3: 88:[50, 20] Operation: 8+12=20
Moving to Node #0,2,1
Current State: 88:[12, 42], Operations: ['36-24=12', '50-8=42']
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,88 unequal: No Solution
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,88 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[50, 4], Operations: ['36-24=12', '12-8=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 50*4=200, Resulting Numbers: [200]
200,88 unequal: No Solution
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[8, 38], Operations: ['36-24=12', '50-12=38']
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 8*38=304, Resulting Numbers: [304]
304,88 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Moving to Node #0,2,3
Current State: 88:[50, 20], Operations: ['36-24=12', '8+12=20']
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,88 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,88 unequal: No Solution
No 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: 88:[24, 50, 44], Operations: ['36+8=44']
Exploring Operation: 44-24=20, Resulting Numbers: [50, 20]
Generated Node #0,3,0: 88:[50, 20] Operation: 44-24=20
Exploring Operation: 50-24=26, Resulting Numbers: [44, 26]
Generated Node #0,3,1: 88:[44, 26] Operation: 50-24=26
Exploring Operation: 50-44=6, Resulting Numbers: [24, 6]
Generated Node #0,3,2: 88:[24, 6] Operation: 50-44=6
Exploring Operation: 50+44=94, Resulting Numbers: [24, 94]
Generated Node #0,3,3: 88:[24, 94] Operation: 50+44=94
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 88:[44, 26], Operations: ['36+8=44', '50-24=26']
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,88 unequal: No Solution
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,88 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 88:[24, 6], Operations: ['36+8=44', '50-44=6']
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,88 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 88:[50, 20], Operations: ['36+8=44', '44-24=20']
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,88 unequal: No Solution
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 88:[24, 94], Operations: ['36+8=44', '50+44=94']
Exploring Operation: 24+94=118, Resulting Numbers: [118]
118,88 unequal: No Solution
Exploring Operation: 24*94=2256, Resulting Numbers: [2256]
2256,88 unequal: No Solution
Exploring Operation: 94-24=70, Resulting Numbers: [70]
70,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
42,
25,
46,
40
] | 69 | [
"42-25=17",
"46+40=86",
"86-17=69"
] | Current State: 69:[42, 25, 46, 40], Operations: []
Exploring Operation: 42-25=17, Resulting Numbers: [46, 40, 17]
Generated Node #2: [46, 40, 17] from Operation: 42-25=17
Current State: 69:[46, 40, 17], Operations: ['42-25=17']
Exploring Operation: 46+40=86, Resulting Numbers: [17, 86]
Generated Node #3: [17, 86] from Operation: 46+40=86
Current State: 69:[17, 86], Operations: ['42-25=17', '46+40=86']
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[42, 25, 46, 40], Operations: []
Exploring Operation: 42+46=88, Resulting Numbers: [25, 40, 88]
Generated Node #0,0: 69:[25, 40, 88] Operation: 42+46=88
Exploring Operation: 46-42=4, Resulting Numbers: [25, 40, 4]
Generated Node #0,1: 69:[25, 40, 4] Operation: 46-42=4
Exploring Operation: 42-40=2, Resulting Numbers: [25, 46, 2]
Generated Node #0,2: 69:[25, 46, 2] Operation: 42-40=2
Exploring Operation: 46-40=6, Resulting Numbers: [42, 25, 6]
Generated Node #0,3: 69:[42, 25, 6] Operation: 46-40=6
Exploring Operation: 42+40=82, Resulting Numbers: [25, 46, 82]
Generated Node #0,4: 69:[25, 46, 82] Operation: 42+40=82
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[25, 40, 4], Operations: ['46-42=4']
Exploring Operation: 40/4=10, Resulting Numbers: [25, 10]
Generated Node #0,1,0: 69:[25, 10] Operation: 40/4=10
Exploring Operation: 40-4=36, Resulting Numbers: [25, 36]
Generated Node #0,1,1: 69:[25, 36] Operation: 40-4=36
Exploring Operation: 25+40=65, Resulting Numbers: [4, 65]
Generated Node #0,1,2: 69:[4, 65] Operation: 25+40=65
Exploring Operation: 40-25=15, Resulting Numbers: [4, 15]
Generated Node #0,1,3: 69:[4, 15] Operation: 40-25=15
Exploring Operation: 25-4=21, Resulting Numbers: [40, 21]
Generated Node #0,1,4: 69:[40, 21] Operation: 25-4=21
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 69:[4, 65], Operations: ['46-42=4', '25+40=65']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,69 unequal: No Solution
Exploring Operation: 4*65=260, Resulting Numbers: [260]
260,69 unequal: No Solution
Exploring Operation: 4+65=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[42, 25, 46, 40], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [25, 40, 4]
Generated Node #0,1: 69:[25, 40, 4] Operation: 46-42=4
Moving to Node #0,1
Current State: 69:[25, 40, 4], Operations: ['46-42=4']
Exploring Operation: 25+40=65, Resulting Numbers: [4, 65]
Generated Node #0,1,2: 69:[4, 65] Operation: 25+40=65
Moving to Node #0,1,2
Current State: 69:[4, 65], Operations: ['46-42=4', '25+40=65']
Exploring Operation: 4+65=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
76,
94,
41,
89
] | 30 | [
"94-76=18",
"89-41=48",
"48-18=30"
] | Current State: 30:[76, 94, 41, 89], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [41, 89, 18]
Generated Node #2: [41, 89, 18] from Operation: 94-76=18
Current State: 30:[41, 89, 18], Operations: ['94-76=18']
Exploring Operation: 89-41=48, Resulting Numbers: [18, 48]
Generated Node #3: [18, 48] from Operation: 89-41=48
Current State: 30:[18, 48], Operations: ['94-76=18', '89-41=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[76, 94, 41, 89], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [76, 41, 5]
Generated Node #0,0: 30:[76, 41, 5] Operation: 94-89=5
Exploring Operation: 94-76=18, Resulting Numbers: [41, 89, 18]
Generated Node #0,1: 30:[41, 89, 18] Operation: 94-76=18
Moving to Node #0,0
Current State: 30:[76, 41, 5], Operations: ['94-89=5']
Exploring Operation: 76-41=35, Resulting Numbers: [5, 35]
Generated Node #0,0,0: 30:[5, 35] Operation: 76-41=35
Exploring Operation: 76-5=71, Resulting Numbers: [41, 71]
Generated Node #0,0,1: 30:[41, 71] Operation: 76-5=71
Moving to Node #0,1
Current State: 30:[41, 89, 18], Operations: ['94-76=18']
Exploring Operation: 89-18=71, Resulting Numbers: [41, 71]
Generated Node #0,1,0: 30:[41, 71] Operation: 89-18=71
Exploring Operation: 89-41=48, Resulting Numbers: [18, 48]
Generated Node #0,1,1: 30:[18, 48] Operation: 89-41=48
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[18, 48], Operations: ['94-76=18', '89-41=48']
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,30 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[76, 94, 41, 89], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [41, 89, 18]
Generated Node #0,1: 30:[41, 89, 18] Operation: 94-76=18
Moving to Node #0,1
Current State: 30:[41, 89, 18], Operations: ['94-76=18']
Exploring Operation: 89-41=48, Resulting Numbers: [18, 48]
Generated Node #0,1,1: 30:[18, 48] Operation: 89-41=48
Moving to Node #0,1,1
Current State: 30:[18, 48], Operations: ['94-76=18', '89-41=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
13,
66,
58,
40
] | 18 | [
"66-58=8",
"40/8=5",
"13+5=18"
] | Current State: 18:[13, 66, 58, 40], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [13, 40, 8]
Generated Node #2: [13, 40, 8] from Operation: 66-58=8
Current State: 18:[13, 40, 8], Operations: ['66-58=8']
Exploring Operation: 40/8=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 40/8=5
Current State: 18:[13, 5], Operations: ['66-58=8', '40/8=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[13, 66, 58, 40], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [13, 40, 8]
Generated Node #0,0: 18:[13, 40, 8] Operation: 66-58=8
Exploring Operation: 58-40=18, Resulting Numbers: [13, 66, 18]
Generated Node #0,1: 18:[13, 66, 18] Operation: 58-40=18
Exploring Operation: 66-40=26, Resulting Numbers: [13, 58, 26]
Generated Node #0,2: 18:[13, 58, 26] Operation: 66-40=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[13, 40, 8], Operations: ['66-58=8']
Exploring Operation: 40-13=27, Resulting Numbers: [8, 27]
Generated Node #0,0,0: 18:[8, 27] Operation: 40-13=27
Exploring Operation: 40/8=5, Resulting Numbers: [13, 5]
Generated Node #0,0,1: 18:[13, 5] Operation: 40/8=5
Exploring Operation: 40-8=32, Resulting Numbers: [13, 32]
Generated Node #0,0,2: 18:[13, 32] Operation: 40-8=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[13, 5], Operations: ['66-58=8', '40/8=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,18 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[13, 66, 58, 40], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [13, 40, 8]
Generated Node #0,0: 18:[13, 40, 8] Operation: 66-58=8
Moving to Node #0,0
Current State: 18:[13, 40, 8], Operations: ['66-58=8']
Exploring Operation: 40/8=5, Resulting Numbers: [13, 5]
Generated Node #0,0,1: 18:[13, 5] Operation: 40/8=5
Moving to Node #0,0,1
Current State: 18:[13, 5], Operations: ['66-58=8', '40/8=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
45,
68,
5,
43
] | 100 | [
"68-45=23",
"43-23=20",
"5*20=100"
] | Current State: 100:[45, 68, 5, 43], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [5, 43, 23]
Generated Node #2: [5, 43, 23] from Operation: 68-45=23
Current State: 100:[5, 43, 23], Operations: ['68-45=23']
Exploring Operation: 43-23=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 43-23=20
Current State: 100:[5, 20], Operations: ['68-45=23', '43-23=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[45, 68, 5, 43], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [5, 43, 23]
Generated Node #0,0: 100:[5, 43, 23] Operation: 68-45=23
Exploring Operation: 68-43=25, Resulting Numbers: [45, 5, 25]
Generated Node #0,1: 100:[45, 5, 25] Operation: 68-43=25
Exploring Operation: 68+43=111, Resulting Numbers: [45, 5, 111]
Generated Node #0,2: 100:[45, 5, 111] Operation: 68+43=111
Exploring Operation: 45-43=2, Resulting Numbers: [68, 5, 2]
Generated Node #0,3: 100:[68, 5, 2] Operation: 45-43=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[45, 5, 25], Operations: ['68-43=25']
Exploring Operation: 45/5=9, Resulting Numbers: [25, 9]
Generated Node #0,1,0: 100:[25, 9] Operation: 45/5=9
Exploring Operation: 45+5=50, Resulting Numbers: [25, 50]
Generated Node #0,1,1: 100:[25, 50] Operation: 45+5=50
Exploring Operation: 45-25=20, Resulting Numbers: [5, 20]
Generated Node #0,1,2: 100:[5, 20] Operation: 45-25=20
Exploring Operation: 25-5=20, Resulting Numbers: [45, 20]
Generated Node #0,1,3: 100:[45, 20] Operation: 25-5=20
Moving to Node #0,1,1
Current State: 100:[25, 50], Operations: ['68-43=25', '45+5=50']
Exploring Operation: 25+50=75, Resulting Numbers: [75]
75,100 unequal: No Solution
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 25*50=1250, Resulting Numbers: [1250]
1250,100 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[5, 20], Operations: ['68-43=25', '45-25=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[45, 68, 5, 43], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [45, 5, 25]
Generated Node #0,1: 100:[45, 5, 25] Operation: 68-43=25
Moving to Node #0,1
Current State: 100:[45, 5, 25], Operations: ['68-43=25']
Exploring Operation: 45-25=20, Resulting Numbers: [5, 20]
Generated Node #0,1,2: 100:[5, 20] Operation: 45-25=20
Moving to Node #0,1,2
Current State: 100:[5, 20], Operations: ['68-43=25', '45-25=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
2,
81,
42,
72
] | 31 | [
"2+81=83",
"42+72=114",
"114-83=31"
] | Current State: 31:[2, 81, 42, 72], Operations: []
Exploring Operation: 2+81=83, Resulting Numbers: [42, 72, 83]
Generated Node #2: [42, 72, 83] from Operation: 2+81=83
Current State: 31:[42, 72, 83], Operations: ['2+81=83']
Exploring Operation: 42+72=114, Resulting Numbers: [83, 114]
Generated Node #3: [83, 114] from Operation: 42+72=114
Current State: 31:[83, 114], Operations: ['2+81=83', '42+72=114']
Exploring Operation: 114-83=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[2, 81, 42, 72], Operations: []
Exploring Operation: 81-72=9, Resulting Numbers: [2, 42, 9]
Generated Node #0,0: 31:[2, 42, 9] Operation: 81-72=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[2, 42, 9], Operations: ['81-72=9']
Exploring Operation: 2*9=18, Resulting Numbers: [42, 18]
Generated Node #0,0,0: 31:[42, 18] Operation: 2*9=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[42, 18], Operations: ['81-72=9', '2*9=18']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,31 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 |
[
18,
67,
56,
95
] | 10 | [
"67-18=49",
"95-56=39",
"49-39=10"
] | Current State: 10:[18, 67, 56, 95], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [56, 95, 49]
Generated Node #2: [56, 95, 49] from Operation: 67-18=49
Current State: 10:[56, 95, 49], Operations: ['67-18=49']
Exploring Operation: 95-56=39, Resulting Numbers: [49, 39]
Generated Node #3: [49, 39] from Operation: 95-56=39
Current State: 10:[49, 39], Operations: ['67-18=49', '95-56=39']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[18, 67, 56, 95], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [56, 95, 49]
Generated Node #0,0: 10:[56, 95, 49] Operation: 67-18=49
Exploring Operation: 95-67=28, Resulting Numbers: [18, 56, 28]
Generated Node #0,1: 10:[18, 56, 28] Operation: 95-67=28
Exploring Operation: 67-56=11, Resulting Numbers: [18, 95, 11]
Generated Node #0,2: 10:[18, 95, 11] Operation: 67-56=11
Exploring Operation: 95-56=39, Resulting Numbers: [18, 67, 39]
Generated Node #0,3: 10:[18, 67, 39] Operation: 95-56=39
Moving to Node #0,1
Current State: 10:[18, 56, 28], Operations: ['95-67=28']
Exploring Operation: 28-18=10, Resulting Numbers: [56, 10]
Generated Node #0,1,0: 10:[56, 10] Operation: 28-18=10
Exploring Operation: 56/28=2, Resulting Numbers: [18, 2]
Generated Node #0,1,1: 10:[18, 2] Operation: 56/28=2
Exploring Operation: 56-18=38, Resulting Numbers: [28, 38]
Generated Node #0,1,2: 10:[28, 38] Operation: 56-18=38
Exploring Operation: 56-28=28, Resulting Numbers: [18, 28]
Generated Node #0,1,3: 10:[18, 28] Operation: 56-28=28
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[18, 2], Operations: ['95-67=28', '56/28=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,10 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 10:[18, 28], Operations: ['95-67=28', '56-28=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,10 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,10 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[18, 67, 56, 95], Operations: []
Exploring Operation: 95-67=28, Resulting Numbers: [18, 56, 28]
Generated Node #0,1: 10:[18, 56, 28] Operation: 95-67=28
Moving to Node #0,1
Current State: 10:[18, 56, 28], Operations: ['95-67=28']
Exploring Operation: 56-28=28, Resulting Numbers: [18, 28]
Generated Node #0,1,3: 10:[18, 28] Operation: 56-28=28
Moving to Node #0,1,3
Current State: 10:[18, 28], Operations: ['95-67=28', '56-28=28']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
19,
57,
16,
57
] | 10 | [
"57+57=114",
"114/19=6",
"16-6=10"
] | Current State: 10:[19, 57, 16, 57], Operations: []
Exploring Operation: 57+57=114, Resulting Numbers: [19, 16, 114]
Generated Node #2: [19, 16, 114] from Operation: 57+57=114
Current State: 10:[19, 16, 114], Operations: ['57+57=114']
Exploring Operation: 114/19=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 114/19=6
Current State: 10:[16, 6], Operations: ['57+57=114', '114/19=6']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[19, 57, 16, 57], Operations: []
Exploring Operation: 57/57=1, Resulting Numbers: [19, 16, 1]
Generated Node #0,0: 10:[19, 16, 1] Operation: 57/57=1
Exploring Operation: 57-57=0, Resulting Numbers: [19, 16, 0]
Generated Node #0,1: 10:[19, 16, 0] Operation: 57-57=0
Exploring Operation: 57/19=3, Resulting Numbers: [16, 57, 3]
Generated Node #0,2: 10:[16, 57, 3] Operation: 57/19=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[19, 16, 1], Operations: ['57/57=1']
Exploring Operation: 16-1=15, Resulting Numbers: [19, 15]
Generated Node #0,0,0: 10:[19, 15] Operation: 16-1=15
Exploring Operation: 19-16=3, Resulting Numbers: [1, 3]
Generated Node #0,0,1: 10:[1, 3] Operation: 19-16=3
Exploring Operation: 19-1=18, Resulting Numbers: [16, 18]
Generated Node #0,0,2: 10:[16, 18] Operation: 19-1=18
Moving to Node #0,0,1
Current State: 10:[1, 3], Operations: ['57/57=1', '19-16=3']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[19, 15], Operations: ['57/57=1', '16-1=15']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,10 unequal: No Solution
Exploring Operation: 19*15=285, Resulting Numbers: [285]
285,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[16, 18], Operations: ['57/57=1', '19-1=18']
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,10 unequal: No Solution
Exploring Operation: 16*18=288, Resulting Numbers: [288]
288,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[19, 16, 0], Operations: ['57-57=0']
Exploring Operation: 19*0=0, Resulting Numbers: [16, 0]
Generated Node #0,1,0: 10:[16, 0] Operation: 19*0=0
Exploring Operation: 16*0=0, Resulting Numbers: [19, 0]
Generated Node #0,1,1: 10:[19, 0] Operation: 16*0=0
Exploring Operation: 19-16=3, Resulting Numbers: [0, 3]
Generated Node #0,1,2: 10:[0, 3] Operation: 19-16=3
Moving to Node #0,1,2
Current State: 10:[0, 3], Operations: ['57-57=0', '19-16=3']
Exploring Operation: 0+3=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 0*3=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[16, 0], Operations: ['57-57=0', '19*0=0']
Exploring Operation: 16-0=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 16*0=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 16+0=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[19, 0], Operations: ['57-57=0', '16*0=0']
Exploring Operation: 19*0=0, Resulting Numbers: [0]
0,10 unequal: No Solution
Exploring Operation: 19-0=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,10 unequal: No Solution
No 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: 10:[16, 57, 3], Operations: ['57/19=3']
Exploring Operation: 57-16=41, Resulting Numbers: [3, 41]
Generated Node #0,2,0: 10:[3, 41] Operation: 57-16=41
Exploring Operation: 16-3=13, Resulting Numbers: [57, 13]
Generated Node #0,2,1: 10:[57, 13] Operation: 16-3=13
Exploring Operation: 57/3=19, Resulting Numbers: [16, 19]
Generated Node #0,2,2: 10:[16, 19] Operation: 57/3=19
Moving to Node #0,2,2
Current State: 10:[16, 19], Operations: ['57/19=3', '57/3=19']
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,10 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,10 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[3, 41], Operations: ['57/19=3', '57-16=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,10 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,10 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[57, 13], Operations: ['57/19=3', '16-3=13']
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,10 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,10 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,10 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 |
[
21,
30,
69,
51
] | 10 | [
"69-21=48",
"51-48=3",
"30/3=10"
] | Current State: 10:[21, 30, 69, 51], Operations: []
Exploring Operation: 69-21=48, Resulting Numbers: [30, 51, 48]
Generated Node #2: [30, 51, 48] from Operation: 69-21=48
Current State: 10:[30, 51, 48], Operations: ['69-21=48']
Exploring Operation: 51-48=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 51-48=3
Current State: 10:[30, 3], Operations: ['69-21=48', '51-48=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[21, 30, 69, 51], Operations: []
Exploring Operation: 69-30=39, Resulting Numbers: [21, 51, 39]
Generated Node #0,0: 10:[21, 51, 39] Operation: 69-30=39
Exploring Operation: 51-30=21, Resulting Numbers: [21, 69, 21]
Generated Node #0,1: 10:[21, 69, 21] Operation: 51-30=21
Exploring Operation: 69-51=18, Resulting Numbers: [21, 30, 18]
Generated Node #0,2: 10:[21, 30, 18] Operation: 69-51=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[21, 30, 18], Operations: ['69-51=18']
Exploring Operation: 30-21=9, Resulting Numbers: [18, 9]
Generated Node #0,2,0: 10:[18, 9] Operation: 30-21=9
Exploring Operation: 30-18=12, Resulting Numbers: [21, 12]
Generated Node #0,2,1: 10:[21, 12] Operation: 30-18=12
Exploring Operation: 21-18=3, Resulting Numbers: [30, 3]
Generated Node #0,2,2: 10:[30, 3] Operation: 21-18=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 10:[18, 9], Operations: ['69-51=18', '30-21=9']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,10 unequal: No Solution
No 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: 10:[21, 12], Operations: ['69-51=18', '30-18=12']
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,10 unequal: No Solution
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No 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: 10:[30, 3], Operations: ['69-51=18', '21-18=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[21, 30, 69, 51], Operations: []
Exploring Operation: 69-51=18, Resulting Numbers: [21, 30, 18]
Generated Node #0,2: 10:[21, 30, 18] Operation: 69-51=18
Moving to Node #0,2
Current State: 10:[21, 30, 18], Operations: ['69-51=18']
Exploring Operation: 21-18=3, Resulting Numbers: [30, 3]
Generated Node #0,2,2: 10:[30, 3] Operation: 21-18=3
Moving to Node #0,2,2
Current State: 10:[30, 3], Operations: ['69-51=18', '21-18=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
82,
80,
75,
13
] | 100 | [
"82+80=162",
"75-13=62",
"162-62=100"
] | Current State: 100:[82, 80, 75, 13], Operations: []
Exploring Operation: 82+80=162, Resulting Numbers: [75, 13, 162]
Generated Node #2: [75, 13, 162] from Operation: 82+80=162
Current State: 100:[75, 13, 162], Operations: ['82+80=162']
Exploring Operation: 75-13=62, Resulting Numbers: [162, 62]
Generated Node #3: [162, 62] from Operation: 75-13=62
Current State: 100:[162, 62], Operations: ['82+80=162', '75-13=62']
Exploring Operation: 162-62=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[82, 80, 75, 13], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [82, 13, 5]
Generated Node #0,0: 100:[82, 13, 5] Operation: 80-75=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[82, 13, 5], Operations: ['80-75=5']
Exploring Operation: 82+13=95, Resulting Numbers: [5, 95]
Generated Node #0,0,0: 100:[5, 95] Operation: 82+13=95
Moving to Node #0,0,0
Current State: 100:[5, 95], Operations: ['80-75=5', '82+13=95']
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[82, 80, 75, 13], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [82, 13, 5]
Generated Node #0,0: 100:[82, 13, 5] Operation: 80-75=5
Moving to Node #0,0
Current State: 100:[82, 13, 5], Operations: ['80-75=5']
Exploring Operation: 82+13=95, Resulting Numbers: [5, 95]
Generated Node #0,0,0: 100:[5, 95] Operation: 82+13=95
Moving to Node #0,0,0
Current State: 100:[5, 95], Operations: ['80-75=5', '82+13=95']
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
59,
88,
26,
2
] | 77 | [
"59-26=33",
"88/2=44",
"33+44=77"
] | Current State: 77:[59, 88, 26, 2], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [88, 2, 33]
Generated Node #2: [88, 2, 33] from Operation: 59-26=33
Current State: 77:[88, 2, 33], Operations: ['59-26=33']
Exploring Operation: 88/2=44, Resulting Numbers: [33, 44]
Generated Node #3: [33, 44] from Operation: 88/2=44
Current State: 77:[33, 44], Operations: ['59-26=33', '88/2=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[59, 88, 26, 2], Operations: []
Exploring Operation: 59+26=85, Resulting Numbers: [88, 2, 85]
Generated Node #0,0: 77:[88, 2, 85] Operation: 59+26=85
Exploring Operation: 26/2=13, Resulting Numbers: [59, 88, 13]
Generated Node #0,1: 77:[59, 88, 13] Operation: 26/2=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[88, 2, 85], Operations: ['59+26=85']
Exploring Operation: 88-2=86, Resulting Numbers: [85, 86]
Generated Node #0,0,0: 77:[85, 86] Operation: 88-2=86
Exploring Operation: 88-85=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1: 77:[2, 3] Operation: 88-85=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[2, 3], Operations: ['59+26=85', '88-85=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,77 unequal: No Solution
No 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: 77:[85, 86], Operations: ['59+26=85', '88-2=86']
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 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: 77:[59, 88, 13], Operations: ['26/2=13']
Exploring Operation: 88-59=29, Resulting Numbers: [13, 29]
Generated Node #0,1,0: 77:[13, 29] Operation: 88-59=29
Exploring Operation: 59+13=72, Resulting Numbers: [88, 72]
Generated Node #0,1,1: 77:[88, 72] Operation: 59+13=72
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 77:[88, 72], Operations: ['26/2=13', '59+13=72']
Exploring Operation: 88-72=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 88+72=160, Resulting Numbers: [160]
160,77 unequal: No Solution
No 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: 77:[13, 29], Operations: ['26/2=13', '88-59=29']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,77 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 |
[
64,
61,
39,
11
] | 37 | [
"61*39=2379",
"2379-11=2368",
"2368/64=37"
] | Current State: 37:[64, 61, 39, 11], Operations: []
Exploring Operation: 61*39=2379, Resulting Numbers: [64, 11, 2379]
Generated Node #2: [64, 11, 2379] from Operation: 61*39=2379
Current State: 37:[64, 11, 2379], Operations: ['61*39=2379']
Exploring Operation: 2379-11=2368, Resulting Numbers: [64, 2368]
Generated Node #3: [64, 2368] from Operation: 2379-11=2368
Current State: 37:[64, 2368], Operations: ['61*39=2379', '2379-11=2368']
Exploring Operation: 2368/64=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[64, 61, 39, 11], Operations: []
Exploring Operation: 39-11=28, Resulting Numbers: [64, 61, 28]
Generated Node #0,0: 37:[64, 61, 28] Operation: 39-11=28
Exploring Operation: 64-11=53, Resulting Numbers: [61, 39, 53]
Generated Node #0,1: 37:[61, 39, 53] Operation: 64-11=53
Exploring Operation: 61-11=50, Resulting Numbers: [64, 39, 50]
Generated Node #0,2: 37:[64, 39, 50] Operation: 61-11=50
Moving to Node #0,1
Current State: 37:[61, 39, 53], Operations: ['64-11=53']
Exploring Operation: 61-39=22, Resulting Numbers: [53, 22]
Generated Node #0,1,0: 37:[53, 22] Operation: 61-39=22
Exploring Operation: 53-39=14, Resulting Numbers: [61, 14]
Generated Node #0,1,1: 37:[61, 14] Operation: 53-39=14
Exploring Operation: 61-53=8, Resulting Numbers: [39, 8]
Generated Node #0,1,2: 37:[39, 8] Operation: 61-53=8
Moving to Node #0,2
Current State: 37:[64, 39, 50], Operations: ['61-11=50']
Exploring Operation: 50-39=11, Resulting Numbers: [64, 11]
Generated Node #0,2,0: 37:[64, 11] Operation: 50-39=11
Exploring Operation: 64-39=25, Resulting Numbers: [50, 25]
Generated Node #0,2,1: 37:[50, 25] Operation: 64-39=25
Exploring Operation: 64-50=14, Resulting Numbers: [39, 14]
Generated Node #0,2,2: 37:[39, 14] Operation: 64-50=14
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 37:[50, 25], Operations: ['61-11=50', '64-39=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 37:[39, 14], Operations: ['61-11=50', '64-50=14']
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,37 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,37 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[64, 11], Operations: ['61-11=50', '50-39=11']
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,37 unequal: No Solution
Exploring Operation: 64*11=704, Resulting Numbers: [704]
704,37 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: 37:[64, 61, 28], Operations: ['39-11=28']
Exploring Operation: 64-61=3, Resulting Numbers: [28, 3]
Generated Node #0,0,0: 37:[28, 3] Operation: 64-61=3
Exploring Operation: 61-28=33, Resulting Numbers: [64, 33]
Generated Node #0,0,1: 37:[64, 33] Operation: 61-28=33
Exploring Operation: 64-28=36, Resulting Numbers: [61, 36]
Generated Node #0,0,2: 37:[61, 36] Operation: 64-28=36
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[61, 36], Operations: ['39-11=28', '64-28=36']
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 61*36=2196, Resulting Numbers: [2196]
2196,37 unequal: No Solution
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[64, 33], Operations: ['39-11=28', '61-28=33']
Exploring Operation: 64*33=2112, Resulting Numbers: [2112]
2112,37 unequal: No Solution
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,37 unequal: No Solution
Exploring Operation: 64+33=97, Resulting Numbers: [97]
97,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[28, 3], Operations: ['39-11=28', '64-61=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,37 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: 37:[53, 22], Operations: ['64-11=53', '61-39=22']
Exploring Operation: 53+22=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,37 unequal: No Solution
Exploring Operation: 53*22=1166, Resulting Numbers: [1166]
1166,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[39, 8], Operations: ['64-11=53', '61-53=8']
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,37 unequal: No Solution
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[61, 14], Operations: ['64-11=53', '53-39=14']
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,37 unequal: No Solution
Exploring Operation: 61*14=854, Resulting Numbers: [854]
854,37 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
29,
56,
75,
27
] | 74 | [
"56-29=27",
"27/27=1",
"75-1=74"
] | Current State: 74:[29, 56, 75, 27], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [75, 27, 27]
Generated Node #2: [75, 27, 27] from Operation: 56-29=27
Current State: 74:[75, 27, 27], Operations: ['56-29=27']
Exploring Operation: 27/27=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 27/27=1
Current State: 74:[75, 1], Operations: ['56-29=27', '27/27=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[29, 56, 75, 27], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [75, 27, 27]
Generated Node #0,0: 74:[75, 27, 27] Operation: 56-29=27
Exploring Operation: 29+56=85, Resulting Numbers: [75, 27, 85]
Generated Node #0,1: 74:[75, 27, 85] Operation: 29+56=85
Exploring Operation: 29-27=2, Resulting Numbers: [56, 75, 2]
Generated Node #0,2: 74:[56, 75, 2] Operation: 29-27=2
Exploring Operation: 56+27=83, Resulting Numbers: [29, 75, 83]
Generated Node #0,3: 74:[29, 75, 83] Operation: 56+27=83
Exploring Operation: 56-27=29, Resulting Numbers: [29, 75, 29]
Generated Node #0,4: 74:[29, 75, 29] Operation: 56-27=29
Moving to Node #0,4
Current State: 74:[29, 75, 29], Operations: ['56-27=29']
Exploring Operation: 29-29=0, Resulting Numbers: [75, 0]
Generated Node #0,4,0: 74:[75, 0] Operation: 29-29=0
Exploring Operation: 75-29=46, Resulting Numbers: [29, 46]
Generated Node #0,4,1: 74:[29, 46] Operation: 75-29=46
Exploring Operation: 29+29=58, Resulting Numbers: [75, 58]
Generated Node #0,4,2: 74:[75, 58] Operation: 29+29=58
Exploring Operation: 29/29=1, Resulting Numbers: [75, 1]
Generated Node #0,4,3: 74:[75, 1] Operation: 29/29=1
Exploring Operation: 75-29=46, Resulting Numbers: [29, 46]
Generated Node #0,4,4: 74:[29, 46] Operation: 75-29=46
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 74:[75, 1], Operations: ['56-27=29', '29/29=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[29, 56, 75, 27], Operations: []
Exploring Operation: 56-27=29, Resulting Numbers: [29, 75, 29]
Generated Node #0,4: 74:[29, 75, 29] Operation: 56-27=29
Moving to Node #0,4
Current State: 74:[29, 75, 29], Operations: ['56-27=29']
Exploring Operation: 29/29=1, Resulting Numbers: [75, 1]
Generated Node #0,4,3: 74:[75, 1] Operation: 29/29=1
Moving to Node #0,4,3
Current State: 74:[75, 1], Operations: ['56-27=29', '29/29=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
79,
79,
4,
77
] | 82 | [
"79/79=1",
"4+77=81",
"1+81=82"
] | Current State: 82:[79, 79, 4, 77], Operations: []
Exploring Operation: 79/79=1, Resulting Numbers: [4, 77, 1]
Generated Node #2: [4, 77, 1] from Operation: 79/79=1
Current State: 82:[4, 77, 1], Operations: ['79/79=1']
Exploring Operation: 4+77=81, Resulting Numbers: [1, 81]
Generated Node #3: [1, 81] from Operation: 4+77=81
Current State: 82:[1, 81], Operations: ['79/79=1', '4+77=81']
Exploring Operation: 1+81=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[79, 79, 4, 77], Operations: []
Exploring Operation: 4+77=81, Resulting Numbers: [79, 79, 81]
Generated Node #0,0: 82:[79, 79, 81] Operation: 4+77=81
Exploring Operation: 79/79=1, Resulting Numbers: [4, 77, 1]
Generated Node #0,1: 82:[4, 77, 1] Operation: 79/79=1
Exploring Operation: 79-77=2, Resulting Numbers: [79, 4, 2]
Generated Node #0,2: 82:[79, 4, 2] Operation: 79-77=2
Exploring Operation: 79-77=2, Resulting Numbers: [79, 4, 2]
Generated Node #0,3: 82:[79, 4, 2] Operation: 79-77=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[79, 4, 2], Operations: ['79-77=2']
Exploring Operation: 79+2=81, Resulting Numbers: [4, 81]
Generated Node #0,2,0: 82:[4, 81] Operation: 79+2=81
Exploring Operation: 79+4=83, Resulting Numbers: [2, 83]
Generated Node #0,2,1: 82:[2, 83] Operation: 79+4=83
Exploring Operation: 4-2=2, Resulting Numbers: [79, 2]
Generated Node #0,2,2: 82:[79, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [79, 2]
Generated Node #0,2,3: 82:[79, 2] Operation: 4/2=2
Moving to Node #0,2,1
Current State: 82:[2, 83], Operations: ['79-77=2', '79+4=83']
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,82 unequal: No Solution
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[79, 2], Operations: ['79-77=2', '4-2=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[4, 81], Operations: ['79-77=2', '79+2=81']
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 4*81=324, Resulting Numbers: [324]
324,82 unequal: No Solution
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[79, 2], Operations: ['79-77=2', '4/2=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,82 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[79, 4, 2], Operations: ['79-77=2']
Exploring Operation: 4/2=2, Resulting Numbers: [79, 2]
Generated Node #0,3,0: 82:[79, 2] Operation: 4/2=2
Exploring Operation: 79+4=83, Resulting Numbers: [2, 83]
Generated Node #0,3,1: 82:[2, 83] Operation: 79+4=83
Exploring Operation: 4-2=2, Resulting Numbers: [79, 2]
Generated Node #0,3,2: 82:[79, 2] Operation: 4-2=2
Exploring Operation: 79+2=81, Resulting Numbers: [4, 81]
Generated Node #0,3,3: 82:[4, 81] Operation: 79+2=81
Moving to Node #0,3,1
Current State: 82:[2, 83], Operations: ['79-77=2', '79+4=83']
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,82 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[79, 2], Operations: ['79-77=2', '4-2=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,82 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[79, 2], Operations: ['79-77=2', '4/2=2']
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,82 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[4, 81], Operations: ['79-77=2', '79+2=81']
Exploring Operation: 4*81=324, Resulting Numbers: [324]
324,82 unequal: No Solution
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[79, 79, 81], Operations: ['4+77=81']
Exploring Operation: 81-79=2, Resulting Numbers: [79, 2]
Generated Node #0,0,0: 82:[79, 2] Operation: 81-79=2
Exploring Operation: 79-79=0, Resulting Numbers: [81, 0]
Generated Node #0,0,1: 82:[81, 0] Operation: 79-79=0
Exploring Operation: 79/79=1, Resulting Numbers: [81, 1]
Generated Node #0,0,2: 82:[81, 1] Operation: 79/79=1
Exploring Operation: 81-79=2, Resulting Numbers: [79, 2]
Generated Node #0,0,3: 82:[79, 2] Operation: 81-79=2
Moving to Node #0,0,2
Current State: 82:[81, 1], Operations: ['4+77=81', '79/79=1']
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,82 unequal: No Solution
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[79, 79, 4, 77], Operations: []
Exploring Operation: 4+77=81, Resulting Numbers: [79, 79, 81]
Generated Node #0,0: 82:[79, 79, 81] Operation: 4+77=81
Moving to Node #0,0
Current State: 82:[79, 79, 81], Operations: ['4+77=81']
Exploring Operation: 79/79=1, Resulting Numbers: [81, 1]
Generated Node #0,0,2: 82:[81, 1] Operation: 79/79=1
Moving to Node #0,0,2
Current State: 82:[81, 1], Operations: ['4+77=81', '79/79=1']
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_4 | mult_heuristic |
[
21,
68,
57,
50
] | 79 | [
"57-50=7",
"21*7=147",
"147-68=79"
] | Current State: 79:[21, 68, 57, 50], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [21, 68, 7]
Generated Node #2: [21, 68, 7] from Operation: 57-50=7
Current State: 79:[21, 68, 7], Operations: ['57-50=7']
Exploring Operation: 21*7=147, Resulting Numbers: [68, 147]
Generated Node #3: [68, 147] from Operation: 21*7=147
Current State: 79:[68, 147], Operations: ['57-50=7', '21*7=147']
Exploring Operation: 147-68=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[21, 68, 57, 50], Operations: []
Exploring Operation: 21+57=78, Resulting Numbers: [68, 50, 78]
Generated Node #0,0: 79:[68, 50, 78] Operation: 21+57=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[68, 50, 78], Operations: ['21+57=78']
Exploring Operation: 68+50=118, Resulting Numbers: [78, 118]
Generated Node #0,0,0: 79:[78, 118] Operation: 68+50=118
Moving to Node #0,0,0
Current State: 79:[78, 118], Operations: ['21+57=78', '68+50=118']
Exploring Operation: 118-78=40, Resulting Numbers: [40]
40,79 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 |
[
39,
19,
4,
68
] | 97 | [
"68-39=29",
"4*29=116",
"116-19=97"
] | Current State: 97:[39, 19, 4, 68], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [19, 4, 29]
Generated Node #2: [19, 4, 29] from Operation: 68-39=29
Current State: 97:[19, 4, 29], Operations: ['68-39=29']
Exploring Operation: 4*29=116, Resulting Numbers: [19, 116]
Generated Node #3: [19, 116] from Operation: 4*29=116
Current State: 97:[19, 116], Operations: ['68-39=29', '4*29=116']
Exploring Operation: 116-19=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[39, 19, 4, 68], Operations: []
Exploring Operation: 39+4=43, Resulting Numbers: [19, 68, 43]
Generated Node #0,0: 97:[19, 68, 43] Operation: 39+4=43
Exploring Operation: 19*4=76, Resulting Numbers: [39, 68, 76]
Generated Node #0,1: 97:[39, 68, 76] Operation: 19*4=76
Exploring Operation: 39+19=58, Resulting Numbers: [4, 68, 58]
Generated Node #0,2: 97:[4, 68, 58] Operation: 39+19=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[39, 68, 76], Operations: ['19*4=76']
Exploring Operation: 39+76=115, Resulting Numbers: [68, 115]
Generated Node #0,1,0: 97:[68, 115] Operation: 39+76=115
Exploring Operation: 39+68=107, Resulting Numbers: [76, 107]
Generated Node #0,1,1: 97:[76, 107] Operation: 39+68=107
Exploring Operation: 68-39=29, Resulting Numbers: [76, 29]
Generated Node #0,1,2: 97:[76, 29] Operation: 68-39=29
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[76, 107], Operations: ['19*4=76', '39+68=107']
Exploring Operation: 76+107=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 107-76=31, Resulting Numbers: [31]
31,97 unequal: No Solution
Exploring Operation: 76*107=8132, Resulting Numbers: [8132]
8132,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[68, 115], Operations: ['19*4=76', '39+76=115']
Exploring Operation: 68+115=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 68*115=7820, Resulting Numbers: [7820]
7820,97 unequal: No Solution
Exploring Operation: 115-68=47, Resulting Numbers: [47]
47,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[76, 29], Operations: ['19*4=76', '68-39=29']
Exploring Operation: 76+29=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 76*29=2204, Resulting Numbers: [2204]
2204,97 unequal: No Solution
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,97 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 #0,0
Current State: 97:[19, 68, 43], Operations: ['39+4=43']
Exploring Operation: 19+43=62, Resulting Numbers: [68, 62]
Generated Node #0,0,0: 97:[68, 62] Operation: 19+43=62
Exploring Operation: 68+43=111, Resulting Numbers: [19, 111]
Generated Node #0,0,1: 97:[19, 111] Operation: 68+43=111
Exploring Operation: 19+68=87, Resulting Numbers: [43, 87]
Generated Node #0,0,2: 97:[43, 87] Operation: 19+68=87
Moving to Node #0,0,0
Current State: 97:[68, 62], Operations: ['39+4=43', '19+43=62']
Exploring Operation: 68-62=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Exploring Operation: 68+62=130, Resulting Numbers: [130]
130,97 unequal: No Solution
Exploring Operation: 68*62=4216, Resulting Numbers: [4216]
4216,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[43, 87], Operations: ['39+4=43', '19+68=87']
Exploring Operation: 43*87=3741, Resulting Numbers: [3741]
3741,97 unequal: No Solution
Exploring Operation: 87-43=44, Resulting Numbers: [44]
44,97 unequal: No Solution
Exploring Operation: 43+87=130, Resulting Numbers: [130]
130,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[19, 111], Operations: ['39+4=43', '68+43=111']
Exploring Operation: 19*111=2109, Resulting Numbers: [2109]
2109,97 unequal: No Solution
Exploring Operation: 111-19=92, Resulting Numbers: [92]
92,97 unequal: No Solution
Exploring Operation: 19+111=130, Resulting Numbers: [130]
130,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[4, 68, 58], Operations: ['39+19=58']
Exploring Operation: 68-4=64, Resulting Numbers: [58, 64]
Generated Node #0,2,0: 97:[58, 64] Operation: 68-4=64
Exploring Operation: 4+68=72, Resulting Numbers: [58, 72]
Generated Node #0,2,1: 97:[58, 72] Operation: 4+68=72
Exploring Operation: 4+58=62, Resulting Numbers: [68, 62]
Generated Node #0,2,2: 97:[68, 62] Operation: 4+58=62
Moving to Node #0,2,1
Current State: 97:[58, 72], Operations: ['39+19=58', '4+68=72']
Exploring Operation: 72-58=14, Resulting Numbers: [14]
14,97 unequal: No Solution
Exploring Operation: 58*72=4176, Resulting Numbers: [4176]
4176,97 unequal: No Solution
Exploring Operation: 58+72=130, Resulting Numbers: [130]
130,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[68, 62], Operations: ['39+19=58', '4+58=62']
Exploring Operation: 68+62=130, Resulting Numbers: [130]
130,97 unequal: No Solution
Exploring Operation: 68-62=6, Resulting Numbers: [6]
6,97 unequal: No Solution
Exploring Operation: 68*62=4216, Resulting Numbers: [4216]
4216,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[58, 64], Operations: ['39+19=58', '68-4=64']
Exploring Operation: 58+64=122, Resulting Numbers: [122]
122,97 unequal: No Solution
Exploring Operation: 58*64=3712, Resulting Numbers: [3712]
3712,97 unequal: No Solution
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
91,
25,
56,
87
] | 97 | [
"91-25=66",
"87-56=31",
"66+31=97"
] | Current State: 97:[91, 25, 56, 87], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [56, 87, 66]
Generated Node #2: [56, 87, 66] from Operation: 91-25=66
Current State: 97:[56, 87, 66], Operations: ['91-25=66']
Exploring Operation: 87-56=31, Resulting Numbers: [66, 31]
Generated Node #3: [66, 31] from Operation: 87-56=31
Current State: 97:[66, 31], Operations: ['91-25=66', '87-56=31']
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[91, 25, 56, 87], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [56, 87, 66]
Generated Node #0,0: 97:[56, 87, 66] Operation: 91-25=66
Exploring Operation: 25+56=81, Resulting Numbers: [91, 87, 81]
Generated Node #0,1: 97:[91, 87, 81] Operation: 25+56=81
Exploring Operation: 91+25=116, Resulting Numbers: [56, 87, 116]
Generated Node #0,2: 97:[56, 87, 116] Operation: 91+25=116
Exploring Operation: 25+87=112, Resulting Numbers: [91, 56, 112]
Generated Node #0,3: 97:[91, 56, 112] Operation: 25+87=112
Moving to Node #0,1
Current State: 97:[91, 87, 81], Operations: ['25+56=81']
Exploring Operation: 87+81=168, Resulting Numbers: [91, 168]
Generated Node #0,1,0: 97:[91, 168] Operation: 87+81=168
Exploring Operation: 91+87=178, Resulting Numbers: [81, 178]
Generated Node #0,1,1: 97:[81, 178] Operation: 91+87=178
Exploring Operation: 91+81=172, Resulting Numbers: [87, 172]
Generated Node #0,1,2: 97:[87, 172] Operation: 91+81=172
Exploring Operation: 91-81=10, Resulting Numbers: [87, 10]
Generated Node #0,1,3: 97:[87, 10] Operation: 91-81=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[91, 168], Operations: ['25+56=81', '87+81=168']
Exploring Operation: 91+168=259, Resulting Numbers: [259]
259,97 unequal: No Solution
Exploring Operation: 168-91=77, Resulting Numbers: [77]
77,97 unequal: No Solution
Exploring Operation: 91*168=15288, Resulting Numbers: [15288]
15288,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 97:[87, 172], Operations: ['25+56=81', '91+81=172']
Exploring Operation: 172-87=85, Resulting Numbers: [85]
85,97 unequal: No Solution
Exploring Operation: 87*172=14964, Resulting Numbers: [14964]
14964,97 unequal: No Solution
Exploring Operation: 87+172=259, Resulting Numbers: [259]
259,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[81, 178], Operations: ['25+56=81', '91+87=178']
Exploring Operation: 178-81=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[91, 25, 56, 87], Operations: []
Exploring Operation: 25+56=81, Resulting Numbers: [91, 87, 81]
Generated Node #0,1: 97:[91, 87, 81] Operation: 25+56=81
Moving to Node #0,1
Current State: 97:[91, 87, 81], Operations: ['25+56=81']
Exploring Operation: 91+87=178, Resulting Numbers: [81, 178]
Generated Node #0,1,1: 97:[81, 178] Operation: 91+87=178
Moving to Node #0,1,1
Current State: 97:[81, 178], Operations: ['25+56=81', '91+87=178']
Exploring Operation: 178-81=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
80,
98,
94,
30
] | 54 | [
"80+98=178",
"94+30=124",
"178-124=54"
] | Current State: 54:[80, 98, 94, 30], Operations: []
Exploring Operation: 80+98=178, Resulting Numbers: [94, 30, 178]
Generated Node #2: [94, 30, 178] from Operation: 80+98=178
Current State: 54:[94, 30, 178], Operations: ['80+98=178']
Exploring Operation: 94+30=124, Resulting Numbers: [178, 124]
Generated Node #3: [178, 124] from Operation: 94+30=124
Current State: 54:[178, 124], Operations: ['80+98=178', '94+30=124']
Exploring Operation: 178-124=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[80, 98, 94, 30], Operations: []
Exploring Operation: 98-80=18, Resulting Numbers: [94, 30, 18]
Generated Node #0,0: 54:[94, 30, 18] Operation: 98-80=18
Exploring Operation: 98-94=4, Resulting Numbers: [80, 30, 4]
Generated Node #0,1: 54:[80, 30, 4] Operation: 98-94=4
Moving to Node #0,1
Current State: 54:[80, 30, 4], Operations: ['98-94=4']
Exploring Operation: 80/4=20, Resulting Numbers: [30, 20]
Generated Node #0,1,0: 54:[30, 20] Operation: 80/4=20
Exploring Operation: 80-30=50, Resulting Numbers: [4, 50]
Generated Node #0,1,1: 54:[4, 50] Operation: 80-30=50
Moving to Node #0,0
Current State: 54:[94, 30, 18], Operations: ['98-80=18']
Exploring Operation: 94-18=76, Resulting Numbers: [30, 76]
Generated Node #0,0,0: 54:[30, 76] Operation: 94-18=76
Exploring Operation: 94-30=64, Resulting Numbers: [18, 64]
Generated Node #0,0,1: 54:[18, 64] Operation: 94-30=64
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[18, 64], Operations: ['98-80=18', '94-30=64']
Exploring Operation: 18+64=82, Resulting Numbers: [82]
82,54 unequal: No Solution
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[30, 76], Operations: ['98-80=18', '94-18=76']
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,54 unequal: No Solution
Exploring Operation: 30+76=106, Resulting Numbers: [106]
106,54 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: 54:[30, 20], Operations: ['98-94=4', '80/4=20']
Exploring Operation: 30+20=50, Resulting Numbers: [50]
50,54 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[4, 50], Operations: ['98-94=4', '80-30=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[80, 98, 94, 30], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [80, 30, 4]
Generated Node #0,1: 54:[80, 30, 4] Operation: 98-94=4
Moving to Node #0,1
Current State: 54:[80, 30, 4], Operations: ['98-94=4']
Exploring Operation: 80-30=50, Resulting Numbers: [4, 50]
Generated Node #0,1,1: 54:[4, 50] Operation: 80-30=50
Moving to Node #0,1,1
Current State: 54:[4, 50], Operations: ['98-94=4', '80-30=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.985243 | hs_2 | sum_heuristic |
[
12,
16,
67,
15
] | 19 | [
"15-12=3",
"16*3=48",
"67-48=19"
] | Current State: 19:[12, 16, 67, 15], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [16, 67, 3]
Generated Node #2: [16, 67, 3] from Operation: 15-12=3
Current State: 19:[16, 67, 3], Operations: ['15-12=3']
Exploring Operation: 16*3=48, Resulting Numbers: [67, 48]
Generated Node #3: [67, 48] from Operation: 16*3=48
Current State: 19:[67, 48], Operations: ['15-12=3', '16*3=48']
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[12, 16, 67, 15], Operations: []
Exploring Operation: 67-12=55, Resulting Numbers: [16, 15, 55]
Generated Node #0,0: 19:[16, 15, 55] Operation: 67-12=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[16, 15, 55], Operations: ['67-12=55']
Exploring Operation: 55-16=39, Resulting Numbers: [15, 39]
Generated Node #0,0,0: 19:[15, 39] Operation: 55-16=39
Moving to Node #0,0,0
Current State: 19:[15, 39], Operations: ['67-12=55', '55-16=39']
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,19 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 |
[
25,
16,
7,
64
] | 23 | [
"25+64=89",
"16*7=112",
"112-89=23"
] | Current State: 23:[25, 16, 7, 64], Operations: []
Exploring Operation: 25+64=89, Resulting Numbers: [16, 7, 89]
Generated Node #2: [16, 7, 89] from Operation: 25+64=89
Current State: 23:[16, 7, 89], Operations: ['25+64=89']
Exploring Operation: 16*7=112, Resulting Numbers: [89, 112]
Generated Node #3: [89, 112] from Operation: 16*7=112
Current State: 23:[89, 112], Operations: ['25+64=89', '16*7=112']
Exploring Operation: 112-89=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[25, 16, 7, 64], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [25, 7, 4]
Generated Node #0,0: 23:[25, 7, 4] Operation: 64/16=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[25, 7, 4], Operations: ['64/16=4']
Exploring Operation: 7*4=28, Resulting Numbers: [25, 28]
Generated Node #0,0,0: 23:[25, 28] Operation: 7*4=28
Moving to Node #0,0,0
Current State: 23:[25, 28], Operations: ['64/16=4', '7*4=28']
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,23 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 |
[
95,
38,
24,
6
] | 61 | [
"95-38=57",
"24/6=4",
"57+4=61"
] | Current State: 61:[95, 38, 24, 6], Operations: []
Exploring Operation: 95-38=57, Resulting Numbers: [24, 6, 57]
Generated Node #2: [24, 6, 57] from Operation: 95-38=57
Current State: 61:[24, 6, 57], Operations: ['95-38=57']
Exploring Operation: 24/6=4, Resulting Numbers: [57, 4]
Generated Node #3: [57, 4] from Operation: 24/6=4
Current State: 61:[57, 4], Operations: ['95-38=57', '24/6=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[95, 38, 24, 6], Operations: []
Exploring Operation: 95-24=71, Resulting Numbers: [38, 6, 71]
Generated Node #0,0: 61:[38, 6, 71] Operation: 95-24=71
Moving to Node #0,0
Current State: 61:[38, 6, 71], Operations: ['95-24=71']
Exploring Operation: 38+6=44, Resulting Numbers: [71, 44]
Generated Node #0,0,0: 61:[71, 44] Operation: 38+6=44
Moving to Node #0,0,0
Current State: 61:[71, 44], Operations: ['95-24=71', '38+6=44']
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,61 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
10,
80,
56,
3
] | 10 | [
"80/10=8",
"56/8=7",
"3+7=10"
] | Current State: 10:[10, 80, 56, 3], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [56, 3, 8]
Generated Node #2: [56, 3, 8] from Operation: 80/10=8
Current State: 10:[56, 3, 8], Operations: ['80/10=8']
Exploring Operation: 56/8=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 56/8=7
Current State: 10:[3, 7], Operations: ['80/10=8', '56/8=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[10, 80, 56, 3], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [10, 3, 24]
Generated Node #0,0: 10:[10, 3, 24] Operation: 80-56=24
Exploring Operation: 80/10=8, Resulting Numbers: [56, 3, 8]
Generated Node #0,1: 10:[56, 3, 8] Operation: 80/10=8
Moving to Node #0,0
Current State: 10:[10, 3, 24], Operations: ['80-56=24']
Exploring Operation: 24-10=14, Resulting Numbers: [3, 14]
Generated Node #0,0,0: 10:[3, 14] Operation: 24-10=14
Exploring Operation: 24/3=8, Resulting Numbers: [10, 8]
Generated Node #0,0,1: 10:[10, 8] Operation: 24/3=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[10, 8], Operations: ['80-56=24', '24/3=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[3, 14], Operations: ['80-56=24', '24-10=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 10:[56, 3, 8], Operations: ['80/10=8']
Exploring Operation: 56/8=7, Resulting Numbers: [3, 7]
Generated Node #0,1,0: 10:[3, 7] Operation: 56/8=7
Exploring Operation: 56-8=48, Resulting Numbers: [3, 48]
Generated Node #0,1,1: 10:[3, 48] Operation: 56-8=48
Moving to Node #0,1,0
Current State: 10:[3, 7], Operations: ['80/10=8', '56/8=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[10, 80, 56, 3], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [56, 3, 8]
Generated Node #0,1: 10:[56, 3, 8] Operation: 80/10=8
Moving to Node #0,1
Current State: 10:[56, 3, 8], Operations: ['80/10=8']
Exploring Operation: 56/8=7, Resulting Numbers: [3, 7]
Generated Node #0,1,0: 10:[3, 7] Operation: 56/8=7
Moving to Node #0,1,0
Current State: 10:[3, 7], Operations: ['80/10=8', '56/8=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
54,
92,
58,
2
] | 100 | [
"58-54=4",
"2*4=8",
"92+8=100"
] | Current State: 100:[54, 92, 58, 2], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [92, 2, 4]
Generated Node #2: [92, 2, 4] from Operation: 58-54=4
Current State: 100:[92, 2, 4], Operations: ['58-54=4']
Exploring Operation: 2*4=8, Resulting Numbers: [92, 8]
Generated Node #3: [92, 8] from Operation: 2*4=8
Current State: 100:[92, 8], Operations: ['58-54=4', '2*4=8']
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[54, 92, 58, 2], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [92, 2, 4]
Generated Node #0,0: 100:[92, 2, 4] Operation: 58-54=4
Exploring Operation: 92/2=46, Resulting Numbers: [54, 58, 46]
Generated Node #0,1: 100:[54, 58, 46] Operation: 92/2=46
Exploring Operation: 92-58=34, Resulting Numbers: [54, 2, 34]
Generated Node #0,2: 100:[54, 2, 34] Operation: 92-58=34
Moving to Node #0,0
Current State: 100:[92, 2, 4], Operations: ['58-54=4']
Exploring Operation: 92/2=46, Resulting Numbers: [4, 46]
Generated Node #0,0,0: 100:[4, 46] Operation: 92/2=46
Exploring Operation: 92+4=96, Resulting Numbers: [2, 96]
Generated Node #0,0,1: 100:[2, 96] Operation: 92+4=96
Exploring Operation: 92/4=23, Resulting Numbers: [2, 23]
Generated Node #0,0,2: 100:[2, 23] Operation: 92/4=23
Moving to Node #0,2
Current State: 100:[54, 2, 34], Operations: ['92-58=34']
Exploring Operation: 54-34=20, Resulting Numbers: [2, 20]
Generated Node #0,2,0: 100:[2, 20] Operation: 54-34=20
Exploring Operation: 54-2=52, Resulting Numbers: [34, 52]
Generated Node #0,2,1: 100:[34, 52] Operation: 54-2=52
Exploring Operation: 34/2=17, Resulting Numbers: [54, 17]
Generated Node #0,2,2: 100:[54, 17] Operation: 34/2=17
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 100:[2, 20], Operations: ['92-58=34', '54-34=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 100:[54, 17], Operations: ['92-58=34', '34/2=17']
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 54*17=918, Resulting Numbers: [918]
918,100 unequal: No Solution
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[34, 52], Operations: ['92-58=34', '54-2=52']
Exploring Operation: 34*52=1768, Resulting Numbers: [1768]
1768,100 unequal: No Solution
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,100 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,100 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: 100:[54, 58, 46], Operations: ['92/2=46']
Exploring Operation: 54+46=100, Resulting Numbers: [58, 100]
Generated Node #0,1,0: 100:[58, 100] Operation: 54+46=100
Exploring Operation: 58-54=4, Resulting Numbers: [46, 4]
Generated Node #0,1,1: 100:[46, 4] Operation: 58-54=4
Exploring Operation: 58-46=12, Resulting Numbers: [54, 12]
Generated Node #0,1,2: 100:[54, 12] Operation: 58-46=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[46, 4], Operations: ['92/2=46', '58-54=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,100 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,100 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 #0,1,2
Current State: 100:[54, 12], Operations: ['92/2=46', '58-46=12']
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,100 unequal: No Solution
Exploring Operation: 54*12=648, Resulting Numbers: [648]
648,100 unequal: No Solution
Exploring Operation: 54+12=66, Resulting Numbers: [66]
66,100 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:[58, 100], Operations: ['92/2=46', '54+46=100']
Exploring Operation: 58+100=158, Resulting Numbers: [158]
158,100 unequal: No Solution
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,100 unequal: No Solution
Exploring Operation: 58*100=5800, Resulting Numbers: [5800]
5800,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 100:[2, 23], Operations: ['58-54=4', '92/4=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,100 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[4, 46], Operations: ['58-54=4', '92/2=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,100 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,100 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[2, 96], Operations: ['58-54=4', '92+4=96']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,100 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
98,
67,
6,
43
] | 68 | [
"98-67=31",
"43-6=37",
"31+37=68"
] | Current State: 68:[98, 67, 6, 43], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [6, 43, 31]
Generated Node #2: [6, 43, 31] from Operation: 98-67=31
Current State: 68:[6, 43, 31], Operations: ['98-67=31']
Exploring Operation: 43-6=37, Resulting Numbers: [31, 37]
Generated Node #3: [31, 37] from Operation: 43-6=37
Current State: 68:[31, 37], Operations: ['98-67=31', '43-6=37']
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[98, 67, 6, 43], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [6, 43, 31]
Generated Node #0,0: 68:[6, 43, 31] Operation: 98-67=31
Moving to Node #0,0
Current State: 68:[6, 43, 31], Operations: ['98-67=31']
Exploring Operation: 43-6=37, Resulting Numbers: [31, 37]
Generated Node #0,0,0: 68:[31, 37] Operation: 43-6=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[31, 37], Operations: ['98-67=31', '43-6=37']
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[98, 67, 6, 43], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [6, 43, 31]
Generated Node #0,0: 68:[6, 43, 31] Operation: 98-67=31
Moving to Node #0,0
Current State: 68:[6, 43, 31], Operations: ['98-67=31']
Exploring Operation: 43-6=37, Resulting Numbers: [31, 37]
Generated Node #0,0,0: 68:[31, 37] Operation: 43-6=37
Moving to Node #0,0,0
Current State: 68:[31, 37], Operations: ['98-67=31', '43-6=37']
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
49,
63,
15,
63
] | 92 | [
"63-49=14",
"15+63=78",
"14+78=92"
] | Current State: 92:[49, 63, 15, 63], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [15, 14]
Generated Node #2: [15, 14] from Operation: 63-49=14
Current State: 92:[15, 14], Operations: ['63-49=14']
Exploring Operation: 15+63=78, Resulting Numbers: [14, 78]
Generated Node #3: [14, 78] from Operation: 15+63=78
Current State: 92:[14, 78], Operations: ['63-49=14', '15+63=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[49, 63, 15, 63], Operations: []
Exploring Operation: 63/63=1, Resulting Numbers: [49, 15, 1]
Generated Node #0,0: 92:[49, 15, 1] Operation: 63/63=1
Moving to Node #0,0
Current State: 92:[49, 15, 1], Operations: ['63/63=1']
Exploring Operation: 49-1=48, Resulting Numbers: [15, 48]
Generated Node #0,0,0: 92:[15, 48] Operation: 49-1=48
Moving to Node #0,0,0
Current State: 92:[15, 48], Operations: ['63/63=1', '49-1=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,92 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
50,
72,
3,
55
] | 99 | [
"72-50=22",
"55-22=33",
"3*33=99"
] | Current State: 99:[50, 72, 3, 55], Operations: []
Exploring Operation: 72-50=22, Resulting Numbers: [3, 55, 22]
Generated Node #2: [3, 55, 22] from Operation: 72-50=22
Current State: 99:[3, 55, 22], Operations: ['72-50=22']
Exploring Operation: 55-22=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 55-22=33
Current State: 99:[3, 33], Operations: ['72-50=22', '55-22=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[50, 72, 3, 55], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [72, 3, 5]
Generated Node #0,0: 99:[72, 3, 5] Operation: 55-50=5
Exploring Operation: 72-55=17, Resulting Numbers: [50, 3, 17]
Generated Node #0,1: 99:[50, 3, 17] Operation: 72-55=17
Exploring Operation: 72-50=22, Resulting Numbers: [3, 55, 22]
Generated Node #0,2: 99:[3, 55, 22] Operation: 72-50=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[50, 3, 17], Operations: ['72-55=17']
Exploring Operation: 17-3=14, Resulting Numbers: [50, 14]
Generated Node #0,1,0: 99:[50, 14] Operation: 17-3=14
Exploring Operation: 50-3=47, Resulting Numbers: [17, 47]
Generated Node #0,1,1: 99:[17, 47] Operation: 50-3=47
Exploring Operation: 50-17=33, Resulting Numbers: [3, 33]
Generated Node #0,1,2: 99:[3, 33] Operation: 50-17=33
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 99:[3, 33], Operations: ['72-55=17', '50-17=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[50, 72, 3, 55], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [50, 3, 17]
Generated Node #0,1: 99:[50, 3, 17] Operation: 72-55=17
Moving to Node #0,1
Current State: 99:[50, 3, 17], Operations: ['72-55=17']
Exploring Operation: 50-17=33, Resulting Numbers: [3, 33]
Generated Node #0,1,2: 99:[3, 33] Operation: 50-17=33
Moving to Node #0,1,2
Current State: 99:[3, 33], Operations: ['72-55=17', '50-17=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
4,
91,
77,
3
] | 52 | [
"91+77=168",
"168/3=56",
"56-4=52"
] | Current State: 52:[4, 91, 77, 3], Operations: []
Exploring Operation: 91+77=168, Resulting Numbers: [4, 3, 168]
Generated Node #2: [4, 3, 168] from Operation: 91+77=168
Current State: 52:[4, 3, 168], Operations: ['91+77=168']
Exploring Operation: 168/3=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 168/3=56
Current State: 52:[4, 56], Operations: ['91+77=168', '168/3=56']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[4, 91, 77, 3], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [4, 3, 14]
Generated Node #0,0: 52:[4, 3, 14] Operation: 91-77=14
Exploring Operation: 91-4=87, Resulting Numbers: [77, 3, 87]
Generated Node #0,1: 52:[77, 3, 87] Operation: 91-4=87
Exploring Operation: 77-4=73, Resulting Numbers: [91, 3, 73]
Generated Node #0,2: 52:[91, 3, 73] Operation: 77-4=73
Moving to Node #0,0
Current State: 52:[4, 3, 14], Operations: ['91-77=14']
Exploring Operation: 14-3=11, Resulting Numbers: [4, 11]
Generated Node #0,0,0: 52:[4, 11] Operation: 14-3=11
Exploring Operation: 4*3=12, Resulting Numbers: [14, 12]
Generated Node #0,0,1: 52:[14, 12] Operation: 4*3=12
Exploring Operation: 4-3=1, Resulting Numbers: [14, 1]
Generated Node #0,0,2: 52:[14, 1] Operation: 4-3=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[4, 11], Operations: ['91-77=14', '14-3=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[14, 12], Operations: ['91-77=14', '4*3=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 52:[14, 1], Operations: ['91-77=14', '4-3=1']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 52:[77, 3, 87], Operations: ['91-4=87']
Exploring Operation: 87-77=10, Resulting Numbers: [3, 10]
Generated Node #0,1,0: 52:[3, 10] Operation: 87-77=10
Exploring Operation: 77-3=74, Resulting Numbers: [87, 74]
Generated Node #0,1,1: 52:[87, 74] Operation: 77-3=74
Exploring Operation: 87/3=29, Resulting Numbers: [77, 29]
Generated Node #0,1,2: 52:[77, 29] Operation: 87/3=29
Moving to Node #0,2
Current State: 52:[91, 3, 73], Operations: ['77-4=73']
Exploring Operation: 73-3=70, Resulting Numbers: [91, 70]
Generated Node #0,2,0: 52:[91, 70] Operation: 73-3=70
Exploring Operation: 91-3=88, Resulting Numbers: [73, 88]
Generated Node #0,2,1: 52:[73, 88] Operation: 91-3=88
Exploring Operation: 91-73=18, Resulting Numbers: [3, 18]
Generated Node #0,2,2: 52:[3, 18] Operation: 91-73=18
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 52:[3, 18], Operations: ['77-4=73', '91-73=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 52:[91, 70], Operations: ['77-4=73', '73-3=70']
Exploring Operation: 91*70=6370, Resulting Numbers: [6370]
6370,52 unequal: No Solution
Exploring Operation: 91+70=161, Resulting Numbers: [161]
161,52 unequal: No Solution
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 52:[73, 88], Operations: ['77-4=73', '91-3=88']
Exploring Operation: 73*88=6424, Resulting Numbers: [6424]
6424,52 unequal: No Solution
Exploring Operation: 73+88=161, Resulting Numbers: [161]
161,52 unequal: No Solution
Exploring Operation: 88-73=15, Resulting Numbers: [15]
15,52 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: 52:[3, 10], Operations: ['91-4=87', '87-77=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[77, 29], Operations: ['91-4=87', '87/3=29']
Exploring Operation: 77*29=2233, Resulting Numbers: [2233]
2233,52 unequal: No Solution
Exploring Operation: 77+29=106, Resulting Numbers: [106]
106,52 unequal: No Solution
Exploring Operation: 77-29=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[87, 74], Operations: ['91-4=87', '77-3=74']
Exploring Operation: 87*74=6438, Resulting Numbers: [6438]
6438,52 unequal: No Solution
Exploring Operation: 87-74=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 87+74=161, Resulting Numbers: [161]
161,52 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
21,
24,
23,
17
] | 86 | [
"24-21=3",
"23*3=69",
"17+69=86"
] | Current State: 86:[21, 24, 23, 17], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [23, 17, 3]
Generated Node #2: [23, 17, 3] from Operation: 24-21=3
Current State: 86:[23, 17, 3], Operations: ['24-21=3']
Exploring Operation: 23*3=69, Resulting Numbers: [17, 69]
Generated Node #3: [17, 69] from Operation: 23*3=69
Current State: 86:[17, 69], Operations: ['24-21=3', '23*3=69']
Exploring Operation: 17+69=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[21, 24, 23, 17], Operations: []
Exploring Operation: 24-23=1, Resulting Numbers: [21, 17, 1]
Generated Node #0,0: 86:[21, 17, 1] Operation: 24-23=1
Exploring Operation: 21+23=44, Resulting Numbers: [24, 17, 44]
Generated Node #0,1: 86:[24, 17, 44] Operation: 21+23=44
Exploring Operation: 24-21=3, Resulting Numbers: [23, 17, 3]
Generated Node #0,2: 86:[23, 17, 3] Operation: 24-21=3
Exploring Operation: 23-21=2, Resulting Numbers: [24, 17, 2]
Generated Node #0,3: 86:[24, 17, 2] Operation: 23-21=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 86:[24, 17, 2], Operations: ['23-21=2']
Exploring Operation: 24/2=12, Resulting Numbers: [17, 12]
Generated Node #0,3,0: 86:[17, 12] Operation: 24/2=12
Exploring Operation: 24+17=41, Resulting Numbers: [2, 41]
Generated Node #0,3,1: 86:[2, 41] Operation: 24+17=41
Exploring Operation: 24-17=7, Resulting Numbers: [2, 7]
Generated Node #0,3,2: 86:[2, 7] Operation: 24-17=7
Exploring Operation: 24*2=48, Resulting Numbers: [17, 48]
Generated Node #0,3,3: 86:[17, 48] Operation: 24*2=48
Moving to Node #0,3,1
Current State: 86:[2, 41], Operations: ['23-21=2', '24+17=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,86 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[2, 7], Operations: ['23-21=2', '24-17=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[17, 48], Operations: ['23-21=2', '24*2=48']
Exploring Operation: 17*48=816, Resulting Numbers: [816]
816,86 unequal: No Solution
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[17, 12], Operations: ['23-21=2', '24/2=12']
Exploring Operation: 17*12=204, Resulting Numbers: [204]
204,86 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[21, 17, 1], Operations: ['24-23=1']
Exploring Operation: 21-17=4, Resulting Numbers: [1, 4]
Generated Node #0,0,0: 86:[1, 4] Operation: 21-17=4
Exploring Operation: 21-1=20, Resulting Numbers: [17, 20]
Generated Node #0,0,1: 86:[17, 20] Operation: 21-1=20
Exploring Operation: 21+17=38, Resulting Numbers: [1, 38]
Generated Node #0,0,2: 86:[1, 38] Operation: 21+17=38
Exploring Operation: 17-1=16, Resulting Numbers: [21, 16]
Generated Node #0,0,3: 86:[21, 16] Operation: 17-1=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[1, 4], Operations: ['24-23=1', '21-17=4']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Exploring Operation: 1+4=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 86:[1, 38], Operations: ['24-23=1', '21+17=38']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,86 unequal: No Solution
Exploring Operation: 1+38=39, Resulting Numbers: [39]
39,86 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[17, 20], Operations: ['24-23=1', '21-1=20']
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,86 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 86:[21, 16], Operations: ['24-23=1', '17-1=16']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,86 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[24, 17, 44], Operations: ['21+23=44']
Exploring Operation: 24+44=68, Resulting Numbers: [17, 68]
Generated Node #0,1,0: 86:[17, 68] Operation: 24+44=68
Exploring Operation: 24+17=41, Resulting Numbers: [44, 41]
Generated Node #0,1,1: 86:[44, 41] Operation: 24+17=41
Exploring Operation: 24-17=7, Resulting Numbers: [44, 7]
Generated Node #0,1,2: 86:[44, 7] Operation: 24-17=7
Exploring Operation: 44-24=20, Resulting Numbers: [17, 20]
Generated Node #0,1,3: 86:[17, 20] Operation: 44-24=20
Moving to Node #0,1,1
Current State: 86:[44, 41], Operations: ['21+23=44', '24+17=41']
Exploring Operation: 44*41=1804, Resulting Numbers: [1804]
1804,86 unequal: No Solution
Exploring Operation: 44+41=85, Resulting Numbers: [85]
85,86 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[44, 7], Operations: ['21+23=44', '24-17=7']
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,86 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[17, 20], Operations: ['21+23=44', '44-24=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[17, 68], Operations: ['21+23=44', '24+44=68']
Exploring Operation: 17*68=1156, Resulting Numbers: [1156]
1156,86 unequal: No Solution
Exploring Operation: 17+68=85, Resulting Numbers: [85]
85,86 unequal: No Solution
Exploring Operation: 68-17=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 68/17=4, Resulting Numbers: [4]
4,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[23, 17, 3], Operations: ['24-21=3']
Exploring Operation: 23+17=40, Resulting Numbers: [3, 40]
Generated Node #0,2,0: 86:[3, 40] Operation: 23+17=40
Exploring Operation: 23+3=26, Resulting Numbers: [17, 26]
Generated Node #0,2,1: 86:[17, 26] Operation: 23+3=26
Exploring Operation: 23-17=6, Resulting Numbers: [3, 6]
Generated Node #0,2,2: 86:[3, 6] Operation: 23-17=6
Exploring Operation: 17*3=51, Resulting Numbers: [23, 51]
Generated Node #0,2,3: 86:[23, 51] Operation: 17*3=51
Moving to Node #0,2,0
Current State: 86:[3, 40], Operations: ['24-21=3', '23+17=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[3, 6], Operations: ['24-21=3', '23-17=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,86 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,86 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[23, 51], Operations: ['24-21=3', '17*3=51']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,86 unequal: No Solution
Exploring Operation: 23*51=1173, Resulting Numbers: [1173]
1173,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[17, 26], Operations: ['24-21=3', '23+3=26']
Exploring Operation: 17*26=442, Resulting Numbers: [442]
442,86 unequal: No Solution
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
3,
37,
66,
58
] | 73 | [
"66/3=22",
"37+58=95",
"95-22=73"
] | Current State: 73:[3, 37, 66, 58], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [37, 58, 22]
Generated Node #2: [37, 58, 22] from Operation: 66/3=22
Current State: 73:[37, 58, 22], Operations: ['66/3=22']
Exploring Operation: 37+58=95, Resulting Numbers: [22, 95]
Generated Node #3: [22, 95] from Operation: 37+58=95
Current State: 73:[22, 95], Operations: ['66/3=22', '37+58=95']
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[3, 37, 66, 58], Operations: []
Exploring Operation: 37-3=34, Resulting Numbers: [66, 58, 34]
Generated Node #0,0: 73:[66, 58, 34] Operation: 37-3=34
Exploring Operation: 3+66=69, Resulting Numbers: [37, 58, 69]
Generated Node #0,1: 73:[37, 58, 69] Operation: 3+66=69
Exploring Operation: 3*37=111, Resulting Numbers: [66, 58, 111]
Generated Node #0,2: 73:[66, 58, 111] Operation: 3*37=111
Exploring Operation: 3+37=40, Resulting Numbers: [66, 58, 40]
Generated Node #0,3: 73:[66, 58, 40] Operation: 3+37=40
Exploring Operation: 3+58=61, Resulting Numbers: [37, 66, 61]
Generated Node #0,4: 73:[37, 66, 61] Operation: 3+58=61
Moving to Node #0,1
Current State: 73:[37, 58, 69], Operations: ['3+66=69']
Exploring Operation: 58+69=127, Resulting Numbers: [37, 127]
Generated Node #0,1,0: 73:[37, 127] Operation: 58+69=127
Exploring Operation: 69-37=32, Resulting Numbers: [58, 32]
Generated Node #0,1,1: 73:[58, 32] Operation: 69-37=32
Exploring Operation: 58-37=21, Resulting Numbers: [69, 21]
Generated Node #0,1,2: 73:[69, 21] Operation: 58-37=21
Exploring Operation: 37+58=95, Resulting Numbers: [69, 95]
Generated Node #0,1,3: 73:[69, 95] Operation: 37+58=95
Exploring Operation: 37+69=106, Resulting Numbers: [58, 106]
Generated Node #0,1,4: 73:[58, 106] Operation: 37+69=106
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 73:[69, 95], Operations: ['3+66=69', '37+58=95']
Exploring Operation: 69*95=6555, Resulting Numbers: [6555]
6555,73 unequal: No Solution
Exploring Operation: 95-69=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 69+95=164, Resulting Numbers: [164]
164,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 73:[58, 106], Operations: ['3+66=69', '37+69=106']
Exploring Operation: 58*106=6148, Resulting Numbers: [6148]
6148,73 unequal: No Solution
Exploring Operation: 106-58=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 58+106=164, Resulting Numbers: [164]
164,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[58, 32], Operations: ['3+66=69', '69-37=32']
Exploring Operation: 58*32=1856, Resulting Numbers: [1856]
1856,73 unequal: No Solution
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[69, 21], Operations: ['3+66=69', '58-37=21']
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 69*21=1449, Resulting Numbers: [1449]
1449,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[37, 127], Operations: ['3+66=69', '58+69=127']
Exploring Operation: 127-37=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 37+127=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Exploring Operation: 37*127=4699, Resulting Numbers: [4699]
4699,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 73:[37, 66, 61], Operations: ['3+58=61']
Exploring Operation: 37+66=103, Resulting Numbers: [61, 103]
Generated Node #0,4,0: 73:[61, 103] Operation: 37+66=103
Exploring Operation: 37+61=98, Resulting Numbers: [66, 98]
Generated Node #0,4,1: 73:[66, 98] Operation: 37+61=98
Exploring Operation: 66-37=29, Resulting Numbers: [61, 29]
Generated Node #0,4,2: 73:[61, 29] Operation: 66-37=29
Exploring Operation: 61-37=24, Resulting Numbers: [66, 24]
Generated Node #0,4,3: 73:[66, 24] Operation: 61-37=24
Exploring Operation: 66+61=127, Resulting Numbers: [37, 127]
Generated Node #0,4,4: 73:[37, 127] Operation: 66+61=127
Moving to Node #0,3
Current State: 73:[66, 58, 40], Operations: ['3+37=40']
Exploring Operation: 66-40=26, Resulting Numbers: [58, 26]
Generated Node #0,3,0: 73:[58, 26] Operation: 66-40=26
Exploring Operation: 66+40=106, Resulting Numbers: [58, 106]
Generated Node #0,3,1: 73:[58, 106] Operation: 66+40=106
Exploring Operation: 58+40=98, Resulting Numbers: [66, 98]
Generated Node #0,3,2: 73:[66, 98] Operation: 58+40=98
Exploring Operation: 58-40=18, Resulting Numbers: [66, 18]
Generated Node #0,3,3: 73:[66, 18] Operation: 58-40=18
Exploring Operation: 66+58=124, Resulting Numbers: [40, 124]
Generated Node #0,3,4: 73:[40, 124] Operation: 66+58=124
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[66, 98], Operations: ['3+37=40', '58+40=98']
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 66*98=6468, Resulting Numbers: [6468]
6468,73 unequal: No Solution
Exploring Operation: 66+98=164, Resulting Numbers: [164]
164,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[58, 106], Operations: ['3+37=40', '66+40=106']
Exploring Operation: 58*106=6148, Resulting Numbers: [6148]
6148,73 unequal: No Solution
Exploring Operation: 106-58=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 58+106=164, Resulting Numbers: [164]
164,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[58, 26], Operations: ['3+37=40', '66-40=26']
Exploring Operation: 58+26=84, Resulting Numbers: [84]
84,73 unequal: No Solution
Exploring Operation: 58*26=1508, Resulting Numbers: [1508]
1508,73 unequal: No Solution
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[66, 18], Operations: ['3+37=40', '58-40=18']
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,73 unequal: No Solution
Exploring Operation: 66*18=1188, Resulting Numbers: [1188]
1188,73 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 73:[40, 124], Operations: ['3+37=40', '66+58=124']
Exploring Operation: 40*124=4960, Resulting Numbers: [4960]
4960,73 unequal: No Solution
Exploring Operation: 40+124=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Exploring Operation: 124-40=84, Resulting Numbers: [84]
84,73 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: 73:[66, 58, 111], Operations: ['3*37=111']
Exploring Operation: 58+111=169, Resulting Numbers: [66, 169]
Generated Node #0,2,0: 73:[66, 169] Operation: 58+111=169
Exploring Operation: 66+58=124, Resulting Numbers: [111, 124]
Generated Node #0,2,1: 73:[111, 124] Operation: 66+58=124
Exploring Operation: 111-58=53, Resulting Numbers: [66, 53]
Generated Node #0,2,2: 73:[66, 53] Operation: 111-58=53
Exploring Operation: 66-58=8, Resulting Numbers: [111, 8]
Generated Node #0,2,3: 73:[111, 8] Operation: 66-58=8
Exploring Operation: 111-66=45, Resulting Numbers: [58, 45]
Generated Node #0,2,4: 73:[58, 45] Operation: 111-66=45
Moving to Node #0,0
Current State: 73:[66, 58, 34], Operations: ['37-3=34']
Exploring Operation: 66-34=32, Resulting Numbers: [58, 32]
Generated Node #0,0,0: 73:[58, 32] Operation: 66-34=32
Exploring Operation: 58-34=24, Resulting Numbers: [66, 24]
Generated Node #0,0,1: 73:[66, 24] Operation: 58-34=24
Exploring Operation: 66+58=124, Resulting Numbers: [34, 124]
Generated Node #0,0,2: 73:[34, 124] Operation: 66+58=124
Exploring Operation: 58+34=92, Resulting Numbers: [66, 92]
Generated Node #0,0,3: 73:[66, 92] Operation: 58+34=92
Exploring Operation: 66+34=100, Resulting Numbers: [58, 100]
Generated Node #0,0,4: 73:[58, 100] Operation: 66+34=100
Moving to Node #0,0,3
Current State: 73:[66, 92], Operations: ['37-3=34', '58+34=92']
Exploring Operation: 66+92=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 66*92=6072, Resulting Numbers: [6072]
6072,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[66, 53], Operations: ['3*37=111', '111-58=53']
Exploring Operation: 66*53=3498, Resulting Numbers: [3498]
3498,73 unequal: No Solution
Exploring Operation: 66-53=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 66+53=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[66, 98], Operations: ['3+58=61', '37+61=98']
Exploring Operation: 66+98=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Exploring Operation: 66*98=6468, Resulting Numbers: [6468]
6468,73 unequal: No Solution
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[58, 100], Operations: ['37-3=34', '66+34=100']
Exploring Operation: 58+100=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Exploring Operation: 58*100=5800, Resulting Numbers: [5800]
5800,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[61, 103], Operations: ['3+58=61', '37+66=103']
Exploring Operation: 103-61=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Exploring Operation: 61+103=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Exploring Operation: 61*103=6283, Resulting Numbers: [6283]
6283,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[58, 45], Operations: ['3*37=111', '111-66=45']
Exploring Operation: 58-45=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 58+45=103, Resulting Numbers: [103]
103,73 unequal: No Solution
Exploring Operation: 58*45=2610, Resulting Numbers: [2610]
2610,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[66, 24], Operations: ['37-3=34', '58-34=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 66*24=1584, Resulting Numbers: [1584]
1584,73 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[58, 32], Operations: ['37-3=34', '66-34=32']
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 58*32=1856, Resulting Numbers: [1856]
1856,73 unequal: No Solution
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[66, 24], Operations: ['3+58=61', '61-37=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 66*24=1584, Resulting Numbers: [1584]
1584,73 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[61, 29], Operations: ['3+58=61', '66-37=29']
Exploring Operation: 61+29=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 61*29=1769, Resulting Numbers: [1769]
1769,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[111, 124], Operations: ['3*37=111', '66+58=124']
Exploring Operation: 124-111=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 111*124=13764, Resulting Numbers: [13764]
13764,73 unequal: No Solution
Exploring Operation: 111+124=235, Resulting Numbers: [235]
235,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[34, 124], Operations: ['37-3=34', '66+58=124']
Exploring Operation: 34*124=4216, Resulting Numbers: [4216]
4216,73 unequal: No Solution
Exploring Operation: 34+124=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 124-34=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[37, 127], Operations: ['3+58=61', '66+61=127']
Exploring Operation: 37+127=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Exploring Operation: 127-37=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 37*127=4699, Resulting Numbers: [4699]
4699,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[66, 169], Operations: ['3*37=111', '58+111=169']
Exploring Operation: 66+169=235, Resulting Numbers: [235]
235,73 unequal: No Solution
Exploring Operation: 66*169=11154, Resulting Numbers: [11154]
11154,73 unequal: No Solution
Exploring Operation: 169-66=103, Resulting Numbers: [103]
103,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[111, 8], Operations: ['3*37=111', '66-58=8']
Exploring Operation: 111-8=103, Resulting Numbers: [103]
103,73 unequal: No Solution
Exploring Operation: 111+8=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 111*8=888, Resulting Numbers: [888]
888,73 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
9,
3,
77,
19
] | 47 | [
"19-9=10",
"3*10=30",
"77-30=47"
] | Current State: 47:[9, 3, 77, 19], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [3, 77, 10]
Generated Node #2: [3, 77, 10] from Operation: 19-9=10
Current State: 47:[3, 77, 10], Operations: ['19-9=10']
Exploring Operation: 3*10=30, Resulting Numbers: [77, 30]
Generated Node #3: [77, 30] from Operation: 3*10=30
Current State: 47:[77, 30], Operations: ['19-9=10', '3*10=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[9, 3, 77, 19], Operations: []
Exploring Operation: 9*3=27, Resulting Numbers: [77, 19, 27]
Generated Node #0,0: 47:[77, 19, 27] Operation: 9*3=27
Exploring Operation: 3*19=57, Resulting Numbers: [9, 77, 57]
Generated Node #0,1: 47:[9, 77, 57] Operation: 3*19=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[77, 19, 27], Operations: ['9*3=27']
Exploring Operation: 77-19=58, Resulting Numbers: [27, 58]
Generated Node #0,0,0: 47:[27, 58] Operation: 77-19=58
Exploring Operation: 77-27=50, Resulting Numbers: [19, 50]
Generated Node #0,0,1: 47:[19, 50] Operation: 77-27=50
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[27, 58], Operations: ['9*3=27', '77-19=58']
Exploring Operation: 27+58=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[19, 50], Operations: ['9*3=27', '77-27=50']
Exploring Operation: 19+50=69, Resulting Numbers: [69]
69,47 unequal: No Solution
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[9, 77, 57], Operations: ['3*19=57']
Exploring Operation: 57-9=48, Resulting Numbers: [77, 48]
Generated Node #0,1,0: 47:[77, 48] Operation: 57-9=48
Exploring Operation: 77-9=68, Resulting Numbers: [57, 68]
Generated Node #0,1,1: 47:[57, 68] Operation: 77-9=68
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[77, 48], Operations: ['3*19=57', '57-9=48']
Exploring Operation: 77+48=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[57, 68], Operations: ['3*19=57', '77-9=68']
Exploring Operation: 57+68=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
7,
48,
61,
40
] | 62 | [
"48-7=41",
"61-40=21",
"41+21=62"
] | Current State: 62:[7, 48, 61, 40], Operations: []
Exploring Operation: 48-7=41, Resulting Numbers: [61, 40, 41]
Generated Node #2: [61, 40, 41] from Operation: 48-7=41
Current State: 62:[61, 40, 41], Operations: ['48-7=41']
Exploring Operation: 61-40=21, Resulting Numbers: [41, 21]
Generated Node #3: [41, 21] from Operation: 61-40=21
Current State: 62:[41, 21], Operations: ['48-7=41', '61-40=21']
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[7, 48, 61, 40], Operations: []
Exploring Operation: 40-7=33, Resulting Numbers: [48, 61, 33]
Generated Node #0,0: 62:[48, 61, 33] Operation: 40-7=33
Exploring Operation: 61-48=13, Resulting Numbers: [7, 40, 13]
Generated Node #0,1: 62:[7, 40, 13] Operation: 61-48=13
Exploring Operation: 48-7=41, Resulting Numbers: [61, 40, 41]
Generated Node #0,2: 62:[61, 40, 41] Operation: 48-7=41
Exploring Operation: 48-40=8, Resulting Numbers: [7, 61, 8]
Generated Node #0,3: 62:[7, 61, 8] Operation: 48-40=8
Exploring Operation: 7+48=55, Resulting Numbers: [61, 40, 55]
Generated Node #0,4: 62:[61, 40, 55] Operation: 7+48=55
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[7, 61, 8], Operations: ['48-40=8']
Exploring Operation: 8-7=1, Resulting Numbers: [61, 1]
Generated Node #0,3,0: 62:[61, 1] Operation: 8-7=1
Exploring Operation: 61+8=69, Resulting Numbers: [7, 69]
Generated Node #0,3,1: 62:[7, 69] Operation: 61+8=69
Exploring Operation: 7+61=68, Resulting Numbers: [8, 68]
Generated Node #0,3,2: 62:[8, 68] Operation: 7+61=68
Exploring Operation: 7*8=56, Resulting Numbers: [61, 56]
Generated Node #0,3,3: 62:[61, 56] Operation: 7*8=56
Exploring Operation: 61-7=54, Resulting Numbers: [8, 54]
Generated Node #0,3,4: 62:[8, 54] Operation: 61-7=54
Moving to Node #0,3,0
Current State: 62:[61, 1], Operations: ['48-40=8', '8-7=1']
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[7, 48, 61, 40], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [7, 61, 8]
Generated Node #0,3: 62:[7, 61, 8] Operation: 48-40=8
Moving to Node #0,3
Current State: 62:[7, 61, 8], Operations: ['48-40=8']
Exploring Operation: 8-7=1, Resulting Numbers: [61, 1]
Generated Node #0,3,0: 62:[61, 1] Operation: 8-7=1
Moving to Node #0,3,0
Current State: 62:[61, 1], Operations: ['48-40=8', '8-7=1']
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
24,
45,
38,
55
] | 86 | [
"24+45=69",
"55-38=17",
"69+17=86"
] | Current State: 86:[24, 45, 38, 55], Operations: []
Exploring Operation: 24+45=69, Resulting Numbers: [38, 55, 69]
Generated Node #2: [38, 55, 69] from Operation: 24+45=69
Current State: 86:[38, 55, 69], Operations: ['24+45=69']
Exploring Operation: 55-38=17, Resulting Numbers: [69, 17]
Generated Node #3: [69, 17] from Operation: 55-38=17
Current State: 86:[69, 17], Operations: ['24+45=69', '55-38=17']
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[24, 45, 38, 55], Operations: []
Exploring Operation: 24+55=79, Resulting Numbers: [45, 38, 79]
Generated Node #0,0: 86:[45, 38, 79] Operation: 24+55=79
Exploring Operation: 55-24=31, Resulting Numbers: [45, 38, 31]
Generated Node #0,1: 86:[45, 38, 31] Operation: 55-24=31
Exploring Operation: 38-24=14, Resulting Numbers: [45, 55, 14]
Generated Node #0,2: 86:[45, 55, 14] Operation: 38-24=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[45, 38, 79], Operations: ['24+55=79']
Exploring Operation: 79-38=41, Resulting Numbers: [45, 41]
Generated Node #0,0,0: 86:[45, 41] Operation: 79-38=41
Exploring Operation: 45+38=83, Resulting Numbers: [79, 83]
Generated Node #0,0,1: 86:[79, 83] Operation: 45+38=83
Exploring Operation: 45-38=7, Resulting Numbers: [79, 7]
Generated Node #0,0,2: 86:[79, 7] Operation: 45-38=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[45, 41], Operations: ['24+55=79', '79-38=41']
Exploring Operation: 45+41=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[24, 45, 38, 55], Operations: []
Exploring Operation: 24+55=79, Resulting Numbers: [45, 38, 79]
Generated Node #0,0: 86:[45, 38, 79] Operation: 24+55=79
Moving to Node #0,0
Current State: 86:[45, 38, 79], Operations: ['24+55=79']
Exploring Operation: 79-38=41, Resulting Numbers: [45, 41]
Generated Node #0,0,0: 86:[45, 41] Operation: 79-38=41
Moving to Node #0,0,0
Current State: 86:[45, 41], Operations: ['24+55=79', '79-38=41']
Exploring Operation: 45+41=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
71,
8,
24,
43
] | 81 | [
"43-24=19",
"8*19=152",
"152-71=81"
] | Current State: 81:[71, 8, 24, 43], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [71, 8, 19]
Generated Node #2: [71, 8, 19] from Operation: 43-24=19
Current State: 81:[71, 8, 19], Operations: ['43-24=19']
Exploring Operation: 8*19=152, Resulting Numbers: [71, 152]
Generated Node #3: [71, 152] from Operation: 8*19=152
Current State: 81:[71, 152], Operations: ['43-24=19', '8*19=152']
Exploring Operation: 152-71=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[71, 8, 24, 43], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [71, 8, 19]
Generated Node #0,0: 81:[71, 8, 19] Operation: 43-24=19
Exploring Operation: 71-43=28, Resulting Numbers: [8, 24, 28]
Generated Node #0,1: 81:[8, 24, 28] Operation: 71-43=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[8, 24, 28], Operations: ['71-43=28']
Exploring Operation: 28-24=4, Resulting Numbers: [8, 4]
Generated Node #0,1,0: 81:[8, 4] Operation: 28-24=4
Exploring Operation: 24/8=3, Resulting Numbers: [28, 3]
Generated Node #0,1,1: 81:[28, 3] Operation: 24/8=3
Moving to Node #0,1,1
Current State: 81:[28, 3], Operations: ['71-43=28', '24/8=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[8, 4], Operations: ['71-43=28', '28-24=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[71, 8, 19], Operations: ['43-24=19']
Exploring Operation: 71+8=79, Resulting Numbers: [19, 79]
Generated Node #0,0,0: 81:[19, 79] Operation: 71+8=79
Exploring Operation: 71+19=90, Resulting Numbers: [8, 90]
Generated Node #0,0,1: 81:[8, 90] Operation: 71+19=90
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[19, 79], Operations: ['43-24=19', '71+8=79']
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,81 unequal: No Solution
Exploring Operation: 19+79=98, Resulting Numbers: [98]
98,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[8, 90], Operations: ['43-24=19', '71+19=90']
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
30,
11,
36,
61
] | 66 | [
"30+11=41",
"61-36=25",
"41+25=66"
] | Current State: 66:[30, 11, 36, 61], Operations: []
Exploring Operation: 30+11=41, Resulting Numbers: [36, 61, 41]
Generated Node #2: [36, 61, 41] from Operation: 30+11=41
Current State: 66:[36, 61, 41], Operations: ['30+11=41']
Exploring Operation: 61-36=25, Resulting Numbers: [41, 25]
Generated Node #3: [41, 25] from Operation: 61-36=25
Current State: 66:[41, 25], Operations: ['30+11=41', '61-36=25']
Exploring Operation: 41+25=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[30, 11, 36, 61], Operations: []
Exploring Operation: 61-30=31, Resulting Numbers: [11, 36, 31]
Generated Node #0,0: 66:[11, 36, 31] Operation: 61-30=31
Exploring Operation: 61-36=25, Resulting Numbers: [30, 11, 25]
Generated Node #0,1: 66:[30, 11, 25] Operation: 61-36=25
Exploring Operation: 30-11=19, Resulting Numbers: [36, 61, 19]
Generated Node #0,2: 66:[36, 61, 19] Operation: 30-11=19
Exploring Operation: 36-30=6, Resulting Numbers: [11, 61, 6]
Generated Node #0,3: 66:[11, 61, 6] Operation: 36-30=6
Exploring Operation: 30+36=66, Resulting Numbers: [11, 61, 66]
Generated Node #0,4: 66:[11, 61, 66] Operation: 30+36=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[11, 36, 31], Operations: ['61-30=31']
Exploring Operation: 31-11=20, Resulting Numbers: [36, 20]
Generated Node #0,0,0: 66:[36, 20] Operation: 31-11=20
Exploring Operation: 36-31=5, Resulting Numbers: [11, 5]
Generated Node #0,0,1: 66:[11, 5] Operation: 36-31=5
Exploring Operation: 36-11=25, Resulting Numbers: [31, 25]
Generated Node #0,0,2: 66:[31, 25] Operation: 36-11=25
Exploring Operation: 36+31=67, Resulting Numbers: [11, 67]
Generated Node #0,0,3: 66:[11, 67] Operation: 36+31=67
Exploring Operation: 11+31=42, Resulting Numbers: [36, 42]
Generated Node #0,0,4: 66:[36, 42] Operation: 11+31=42
Moving to Node #0,0,1
Current State: 66:[11, 5], Operations: ['61-30=31', '36-31=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,66 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[11, 67], Operations: ['61-30=31', '36+31=67']
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 11+67=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 11*67=737, Resulting Numbers: [737]
737,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[36, 20], Operations: ['61-30=31', '31-11=20']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[31, 25], Operations: ['61-30=31', '36-11=25']
Exploring Operation: 31+25=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 31*25=775, Resulting Numbers: [775]
775,66 unequal: No Solution
Moving to Node #0,0,4
Current State: 66:[36, 42], Operations: ['61-30=31', '11+31=42']
Exploring Operation: 36+42=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 42-36=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 36*42=1512, Resulting Numbers: [1512]
1512,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[11, 61, 6], Operations: ['36-30=6']
Exploring Operation: 61+6=67, Resulting Numbers: [11, 67]
Generated Node #0,3,0: 66:[11, 67] Operation: 61+6=67
Exploring Operation: 11+6=17, Resulting Numbers: [61, 17]
Generated Node #0,3,1: 66:[61, 17] Operation: 11+6=17
Exploring Operation: 11+61=72, Resulting Numbers: [6, 72]
Generated Node #0,3,2: 66:[6, 72] Operation: 11+61=72
Exploring Operation: 11-6=5, Resulting Numbers: [61, 5]
Generated Node #0,3,3: 66:[61, 5] Operation: 11-6=5
Exploring Operation: 11*6=66, Resulting Numbers: [61, 66]
Generated Node #0,3,4: 66:[61, 66] Operation: 11*6=66
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 66:[11, 67], Operations: ['36-30=6', '61+6=67']
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 11+67=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 11*67=737, Resulting Numbers: [737]
737,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 66:[61, 66], Operations: ['36-30=6', '11*6=66']
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 61*66=4026, Resulting Numbers: [4026]
4026,66 unequal: No Solution
Exploring Operation: 61+66=127, Resulting Numbers: [127]
127,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 66:[6, 72], Operations: ['36-30=6', '11+61=72']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 6*72=432, Resulting Numbers: [432]
432,66 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[30, 11, 36, 61], Operations: []
Exploring Operation: 36-30=6, Resulting Numbers: [11, 61, 6]
Generated Node #0,3: 66:[11, 61, 6] Operation: 36-30=6
Moving to Node #0,3
Current State: 66:[11, 61, 6], Operations: ['36-30=6']
Exploring Operation: 11+61=72, Resulting Numbers: [6, 72]
Generated Node #0,3,2: 66:[6, 72] Operation: 11+61=72
Moving to Node #0,3,2
Current State: 66:[6, 72], Operations: ['36-30=6', '11+61=72']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.961806 | hs_5 | sum_heuristic |
[
30,
31,
36,
83
] | 95 | [
"31+83=114",
"30*114=3420",
"3420/36=95"
] | Current State: 95:[30, 31, 36, 83], Operations: []
Exploring Operation: 31+83=114, Resulting Numbers: [30, 36, 114]
Generated Node #2: [30, 36, 114] from Operation: 31+83=114
Current State: 95:[30, 36, 114], Operations: ['31+83=114']
Exploring Operation: 30*114=3420, Resulting Numbers: [36, 3420]
Generated Node #3: [36, 3420] from Operation: 30*114=3420
Current State: 95:[36, 3420], Operations: ['31+83=114', '30*114=3420']
Exploring Operation: 3420/36=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[30, 31, 36, 83], Operations: []
Exploring Operation: 36-30=6, Resulting Numbers: [31, 83, 6]
Generated Node #0,0: 95:[31, 83, 6] Operation: 36-30=6
Exploring Operation: 36-31=5, Resulting Numbers: [30, 83, 5]
Generated Node #0,1: 95:[30, 83, 5] Operation: 36-31=5
Moving to Node #0,1
Current State: 95:[30, 83, 5], Operations: ['36-31=5']
Exploring Operation: 30+83=113, Resulting Numbers: [5, 113]
Generated Node #0,1,0: 95:[5, 113] Operation: 30+83=113
Exploring Operation: 30/5=6, Resulting Numbers: [83, 6]
Generated Node #0,1,1: 95:[83, 6] Operation: 30/5=6
Moving to Node #0,0
Current State: 95:[31, 83, 6], Operations: ['36-30=6']
Exploring Operation: 31-6=25, Resulting Numbers: [83, 25]
Generated Node #0,0,0: 95:[83, 25] Operation: 31-6=25
Exploring Operation: 83+6=89, Resulting Numbers: [31, 89]
Generated Node #0,0,1: 95:[31, 89] Operation: 83+6=89
Moving to Node #0,1,1
Current State: 95:[83, 6], Operations: ['36-31=5', '30/5=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,95 unequal: No Solution
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[83, 25], Operations: ['36-30=6', '31-6=25']
Exploring Operation: 83+25=108, Resulting Numbers: [108]
108,95 unequal: No Solution
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[5, 113], Operations: ['36-31=5', '30+83=113']
Exploring Operation: 113-5=108, Resulting Numbers: [108]
108,95 unequal: No Solution
Exploring Operation: 5+113=118, Resulting Numbers: [118]
118,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[31, 89], Operations: ['36-30=6', '83+6=89']
Exploring Operation: 31+89=120, Resulting Numbers: [120]
120,95 unequal: No Solution
Exploring Operation: 89-31=58, Resulting Numbers: [58]
58,95 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
24,
9,
41,
55
] | 13 | [
"41+55=96",
"96/24=4",
"9+4=13"
] | Current State: 13:[24, 9, 41, 55], Operations: []
Exploring Operation: 41+55=96, Resulting Numbers: [24, 9, 96]
Generated Node #2: [24, 9, 96] from Operation: 41+55=96
Current State: 13:[24, 9, 96], Operations: ['41+55=96']
Exploring Operation: 96/24=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 96/24=4
Current State: 13:[9, 4], Operations: ['41+55=96', '96/24=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[24, 9, 41, 55], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [24, 9, 14]
Generated Node #0,0: 13:[24, 9, 14] Operation: 55-41=14
Exploring Operation: 41-24=17, Resulting Numbers: [9, 55, 17]
Generated Node #0,1: 13:[9, 55, 17] Operation: 41-24=17
Exploring Operation: 55-24=31, Resulting Numbers: [9, 41, 31]
Generated Node #0,2: 13:[9, 41, 31] Operation: 55-24=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[24, 9, 14], Operations: ['55-41=14']
Exploring Operation: 24-9=15, Resulting Numbers: [14, 15]
Generated Node #0,0,0: 13:[14, 15] Operation: 24-9=15
Exploring Operation: 14-9=5, Resulting Numbers: [24, 5]
Generated Node #0,0,1: 13:[24, 5] Operation: 14-9=5
Exploring Operation: 24-14=10, Resulting Numbers: [9, 10]
Generated Node #0,0,2: 13:[9, 10] Operation: 24-14=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 13:[14, 15], Operations: ['55-41=14', '24-9=15']
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,13 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:[9, 10], Operations: ['55-41=14', '24-14=10']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,13 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,13 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:[24, 5], Operations: ['55-41=14', '14-9=5']
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,13 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,13 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:[9, 55, 17], Operations: ['41-24=17']
Exploring Operation: 17-9=8, Resulting Numbers: [55, 8]
Generated Node #0,1,0: 13:[55, 8] Operation: 17-9=8
Exploring Operation: 55-9=46, Resulting Numbers: [17, 46]
Generated Node #0,1,1: 13:[17, 46] Operation: 55-9=46
Exploring Operation: 55-17=38, Resulting Numbers: [9, 38]
Generated Node #0,1,2: 13:[9, 38] Operation: 55-17=38
Moving to Node #0,1,2
Current State: 13:[9, 38], Operations: ['41-24=17', '55-17=38']
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,13 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[17, 46], Operations: ['41-24=17', '55-9=46']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 17*46=782, Resulting Numbers: [782]
782,13 unequal: No Solution
Exploring Operation: 17+46=63, Resulting Numbers: [63]
63,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[55, 8], Operations: ['41-24=17', '17-9=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,13 unequal: No Solution
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,13 unequal: No Solution
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[9, 41, 31], Operations: ['55-24=31']
Exploring Operation: 31-9=22, Resulting Numbers: [41, 22]
Generated Node #0,2,0: 13:[41, 22] Operation: 31-9=22
Exploring Operation: 41-31=10, Resulting Numbers: [9, 10]
Generated Node #0,2,1: 13:[9, 10] Operation: 41-31=10
Exploring Operation: 41-9=32, Resulting Numbers: [31, 32]
Generated Node #0,2,2: 13:[31, 32] Operation: 41-9=32
Moving to Node #0,2,1
Current State: 13:[9, 10], Operations: ['55-24=31', '41-31=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,13 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[41, 22], Operations: ['55-24=31', '31-9=22']
Exploring Operation: 41*22=902, Resulting Numbers: [902]
902,13 unequal: No Solution
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,13 unequal: No Solution
Exploring Operation: 41+22=63, Resulting Numbers: [63]
63,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[31, 32], Operations: ['55-24=31', '41-9=32']
Exploring Operation: 31*32=992, Resulting Numbers: [992]
992,13 unequal: No Solution
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,13 unequal: No Solution
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
97,
60,
86,
39
] | 32 | [
"97+60=157",
"86+39=125",
"157-125=32"
] | Current State: 32:[97, 60, 86, 39], Operations: []
Exploring Operation: 97+60=157, Resulting Numbers: [86, 39, 157]
Generated Node #2: [86, 39, 157] from Operation: 97+60=157
Current State: 32:[86, 39, 157], Operations: ['97+60=157']
Exploring Operation: 86+39=125, Resulting Numbers: [157, 125]
Generated Node #3: [157, 125] from Operation: 86+39=125
Current State: 32:[157, 125], Operations: ['97+60=157', '86+39=125']
Exploring Operation: 157-125=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[97, 60, 86, 39], Operations: []
Exploring Operation: 86-39=47, Resulting Numbers: [97, 60, 47]
Generated Node #0,0: 32:[97, 60, 47] Operation: 86-39=47
Exploring Operation: 97-60=37, Resulting Numbers: [86, 39, 37]
Generated Node #0,1: 32:[86, 39, 37] Operation: 97-60=37
Exploring Operation: 97-39=58, Resulting Numbers: [60, 86, 58]
Generated Node #0,2: 32:[60, 86, 58] Operation: 97-39=58
Exploring Operation: 97-86=11, Resulting Numbers: [60, 39, 11]
Generated Node #0,3: 32:[60, 39, 11] Operation: 97-86=11
Exploring Operation: 86-60=26, Resulting Numbers: [97, 39, 26]
Generated Node #0,4: 32:[97, 39, 26] Operation: 86-60=26
Start Sub Search at level 1: Moving to Node #0,3
Current State: 32:[60, 39, 11], Operations: ['97-86=11']
Exploring Operation: 60+11=71, Resulting Numbers: [39, 71]
Generated Node #0,3,0: 32:[39, 71] Operation: 60+11=71
Exploring Operation: 39+11=50, Resulting Numbers: [60, 50]
Generated Node #0,3,1: 32:[60, 50] Operation: 39+11=50
Exploring Operation: 39-11=28, Resulting Numbers: [60, 28]
Generated Node #0,3,2: 32:[60, 28] Operation: 39-11=28
Exploring Operation: 60-39=21, Resulting Numbers: [11, 21]
Generated Node #0,3,3: 32:[11, 21] Operation: 60-39=21
Exploring Operation: 60-11=49, Resulting Numbers: [39, 49]
Generated Node #0,3,4: 32:[39, 49] Operation: 60-11=49
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 32:[11, 21], Operations: ['97-86=11', '60-39=21']
Exploring Operation: 11*21=231, Resulting Numbers: [231]
231,32 unequal: No Solution
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[97, 60, 86, 39], Operations: []
Exploring Operation: 97-86=11, Resulting Numbers: [60, 39, 11]
Generated Node #0,3: 32:[60, 39, 11] Operation: 97-86=11
Moving to Node #0,3
Current State: 32:[60, 39, 11], Operations: ['97-86=11']
Exploring Operation: 60-39=21, Resulting Numbers: [11, 21]
Generated Node #0,3,3: 32:[11, 21] Operation: 60-39=21
Moving to Node #0,3,3
Current State: 32:[11, 21], Operations: ['97-86=11', '60-39=21']
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
49,
1,
87,
41
] | 78 | [
"49+1=50",
"87+41=128",
"128-50=78"
] | Current State: 78:[49, 1, 87, 41], Operations: []
Exploring Operation: 49+1=50, Resulting Numbers: [87, 41, 50]
Generated Node #2: [87, 41, 50] from Operation: 49+1=50
Current State: 78:[87, 41, 50], Operations: ['49+1=50']
Exploring Operation: 87+41=128, Resulting Numbers: [50, 128]
Generated Node #3: [50, 128] from Operation: 87+41=128
Current State: 78:[50, 128], Operations: ['49+1=50', '87+41=128']
Exploring Operation: 128-50=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[49, 1, 87, 41], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [1, 41, 38]
Generated Node #0,0: 78:[1, 41, 38] Operation: 87-49=38
Exploring Operation: 49-1=48, Resulting Numbers: [87, 41, 48]
Generated Node #0,1: 78:[87, 41, 48] Operation: 49-1=48
Exploring Operation: 49-41=8, Resulting Numbers: [1, 87, 8]
Generated Node #0,2: 78:[1, 87, 8] Operation: 49-41=8
Exploring Operation: 87-41=46, Resulting Numbers: [49, 1, 46]
Generated Node #0,3: 78:[49, 1, 46] Operation: 87-41=46
Moving to Node #0,0
Current State: 78:[1, 41, 38], Operations: ['87-49=38']
Exploring Operation: 41+38=79, Resulting Numbers: [1, 79]
Generated Node #0,0,0: 78:[1, 79] Operation: 41+38=79
Exploring Operation: 41-38=3, Resulting Numbers: [1, 3]
Generated Node #0,0,1: 78:[1, 3] Operation: 41-38=3
Exploring Operation: 1+38=39, Resulting Numbers: [41, 39]
Generated Node #0,0,2: 78:[41, 39] Operation: 1+38=39
Exploring Operation: 41-1=40, Resulting Numbers: [38, 40]
Generated Node #0,0,3: 78:[38, 40] Operation: 41-1=40
Moving to Node #0,2
Current State: 78:[1, 87, 8], Operations: ['49-41=8']
Exploring Operation: 87-1=86, Resulting Numbers: [8, 86]
Generated Node #0,2,0: 78:[8, 86] Operation: 87-1=86
Exploring Operation: 87-8=79, Resulting Numbers: [1, 79]
Generated Node #0,2,1: 78:[1, 79] Operation: 87-8=79
Exploring Operation: 1*87=87, Resulting Numbers: [8, 87]
Generated Node #0,2,2: 78:[8, 87] Operation: 1*87=87
Exploring Operation: 8-1=7, Resulting Numbers: [87, 7]
Generated Node #0,2,3: 78:[87, 7] Operation: 8-1=7
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[1, 79], Operations: ['49-41=8', '87-8=79']
Exploring Operation: 1+79=80, Resulting Numbers: [80]
80,78 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[49, 1, 87, 41], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [1, 87, 8]
Generated Node #0,2: 78:[1, 87, 8] Operation: 49-41=8
Moving to Node #0,2
Current State: 78:[1, 87, 8], Operations: ['49-41=8']
Exploring Operation: 87-8=79, Resulting Numbers: [1, 79]
Generated Node #0,2,1: 78:[1, 79] Operation: 87-8=79
Moving to Node #0,2,1
Current State: 78:[1, 79], Operations: ['49-41=8', '87-8=79']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
97,
58,
20,
76
] | 95 | [
"97-58=39",
"76-20=56",
"39+56=95"
] | Current State: 95:[97, 58, 20, 76], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [20, 76, 39]
Generated Node #2: [20, 76, 39] from Operation: 97-58=39
Current State: 95:[20, 76, 39], Operations: ['97-58=39']
Exploring Operation: 76-20=56, Resulting Numbers: [39, 56]
Generated Node #3: [39, 56] from Operation: 76-20=56
Current State: 95:[39, 56], Operations: ['97-58=39', '76-20=56']
Exploring Operation: 39+56=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[97, 58, 20, 76], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [97, 20, 18]
Generated Node #0,0: 95:[97, 20, 18] Operation: 76-58=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[97, 20, 18], Operations: ['76-58=18']
Exploring Operation: 20-18=2, Resulting Numbers: [97, 2]
Generated Node #0,0,0: 95:[97, 2] Operation: 20-18=2
Moving to Node #0,0,0
Current State: 95:[97, 2], Operations: ['76-58=18', '20-18=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[97, 58, 20, 76], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [97, 20, 18]
Generated Node #0,0: 95:[97, 20, 18] Operation: 76-58=18
Moving to Node #0,0
Current State: 95:[97, 20, 18], Operations: ['76-58=18']
Exploring Operation: 20-18=2, Resulting Numbers: [97, 2]
Generated Node #0,0,0: 95:[97, 2] Operation: 20-18=2
Moving to Node #0,0,0
Current State: 95:[97, 2], Operations: ['76-58=18', '20-18=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
70,
6,
81,
6
] | 23 | [
"70-6=64",
"81+6=87",
"87-64=23"
] | Current State: 23:[70, 6, 81, 6], Operations: []
Exploring Operation: 70-6=64, Resulting Numbers: [81, 64]
Generated Node #2: [81, 64] from Operation: 70-6=64
Current State: 23:[81, 64], Operations: ['70-6=64']
Exploring Operation: 81+6=87, Resulting Numbers: [64, 87]
Generated Node #3: [64, 87] from Operation: 81+6=87
Current State: 23:[64, 87], Operations: ['70-6=64', '81+6=87']
Exploring Operation: 87-64=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[70, 6, 81, 6], Operations: []
Exploring Operation: 70-6=64, Resulting Numbers: [81, 6, 64]
Generated Node #0,0: 23:[81, 6, 64] Operation: 70-6=64
Exploring Operation: 81-70=11, Resulting Numbers: [6, 6, 11]
Generated Node #0,1: 23:[6, 6, 11] Operation: 81-70=11
Exploring Operation: 70-6=64, Resulting Numbers: [6, 81, 64]
Generated Node #0,2: 23:[6, 81, 64] Operation: 70-6=64
Moving to Node #0,1
Current State: 23:[6, 6, 11], Operations: ['81-70=11']
Exploring Operation: 6+11=17, Resulting Numbers: [6, 17]
Generated Node #0,1,0: 23:[6, 17] Operation: 6+11=17
Exploring Operation: 6+11=17, Resulting Numbers: [6, 17]
Generated Node #0,1,1: 23:[6, 17] Operation: 6+11=17
Exploring Operation: 6+6=12, Resulting Numbers: [11, 12]
Generated Node #0,1,2: 23:[11, 12] Operation: 6+6=12
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[6, 17], Operations: ['81-70=11', '6+11=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[70, 6, 81, 6], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [6, 6, 11]
Generated Node #0,1: 23:[6, 6, 11] Operation: 81-70=11
Moving to Node #0,1
Current State: 23:[6, 6, 11], Operations: ['81-70=11']
Exploring Operation: 6+11=17, Resulting Numbers: [6, 17]
Generated Node #0,1,0: 23:[6, 17] Operation: 6+11=17
Moving to Node #0,1,0
Current State: 23:[6, 17], Operations: ['81-70=11', '6+11=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
34,
59,
27,
13
] | 26 | [
"59-34=25",
"27-25=2",
"13*2=26"
] | Current State: 26:[34, 59, 27, 13], Operations: []
Exploring Operation: 59-34=25, Resulting Numbers: [27, 13, 25]
Generated Node #2: [27, 13, 25] from Operation: 59-34=25
Current State: 26:[27, 13, 25], Operations: ['59-34=25']
Exploring Operation: 27-25=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 27-25=2
Current State: 26:[13, 2], Operations: ['59-34=25', '27-25=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[34, 59, 27, 13], Operations: []
Exploring Operation: 59-27=32, Resulting Numbers: [34, 13, 32]
Generated Node #0,0: 26:[34, 13, 32] Operation: 59-27=32
Exploring Operation: 59-13=46, Resulting Numbers: [34, 27, 46]
Generated Node #0,1: 26:[34, 27, 46] Operation: 59-13=46
Exploring Operation: 59-34=25, Resulting Numbers: [27, 13, 25]
Generated Node #0,2: 26:[27, 13, 25] Operation: 59-34=25
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[27, 13, 25], Operations: ['59-34=25']
Exploring Operation: 25-13=12, Resulting Numbers: [27, 12]
Generated Node #0,2,0: 26:[27, 12] Operation: 25-13=12
Exploring Operation: 27-25=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 26:[13, 2] Operation: 27-25=2
Exploring Operation: 27-13=14, Resulting Numbers: [25, 14]
Generated Node #0,2,2: 26:[25, 14] Operation: 27-13=14
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 26:[13, 2], Operations: ['59-34=25', '27-25=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[34, 59, 27, 13], Operations: []
Exploring Operation: 59-34=25, Resulting Numbers: [27, 13, 25]
Generated Node #0,2: 26:[27, 13, 25] Operation: 59-34=25
Moving to Node #0,2
Current State: 26:[27, 13, 25], Operations: ['59-34=25']
Exploring Operation: 27-25=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 26:[13, 2] Operation: 27-25=2
Moving to Node #0,2,1
Current State: 26:[13, 2], Operations: ['59-34=25', '27-25=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
89,
65,
78,
19
] | 84 | [
"89-19=70",
"78*70=5460",
"5460/65=84"
] | Current State: 84:[89, 65, 78, 19], Operations: []
Exploring Operation: 89-19=70, Resulting Numbers: [65, 78, 70]
Generated Node #2: [65, 78, 70] from Operation: 89-19=70
Current State: 84:[65, 78, 70], Operations: ['89-19=70']
Exploring Operation: 78*70=5460, Resulting Numbers: [65, 5460]
Generated Node #3: [65, 5460] from Operation: 78*70=5460
Current State: 84:[65, 5460], Operations: ['89-19=70', '78*70=5460']
Exploring Operation: 5460/65=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[89, 65, 78, 19], Operations: []
Exploring Operation: 78-65=13, Resulting Numbers: [89, 19, 13]
Generated Node #0,0: 84:[89, 19, 13] Operation: 78-65=13
Moving to Node #0,0
Current State: 84:[89, 19, 13], Operations: ['78-65=13']
Exploring Operation: 19-13=6, Resulting Numbers: [89, 6]
Generated Node #0,0,0: 84:[89, 6] Operation: 19-13=6
Moving to Node #0,0,0
Current State: 84:[89, 6], Operations: ['78-65=13', '19-13=6']
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,84 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
57,
52,
57,
82
] | 52 | [
"57-57=0",
"82*0=0",
"52+0=52"
] | Current State: 52:[57, 52, 57, 82], Operations: []
Exploring Operation: 57-57=0, Resulting Numbers: [52, 82, 0]
Generated Node #2: [52, 82, 0] from Operation: 57-57=0
Current State: 52:[52, 82, 0], Operations: ['57-57=0']
Exploring Operation: 82*0=0, Resulting Numbers: [52, 0]
Generated Node #3: [52, 0] from Operation: 82*0=0
Current State: 52:[52, 0], Operations: ['57-57=0', '82*0=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[57, 52, 57, 82], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [57, 52, 25]
Generated Node #0,0: 52:[57, 52, 25] Operation: 82-57=25
Exploring Operation: 82-57=25, Resulting Numbers: [52, 57, 25]
Generated Node #0,1: 52:[52, 57, 25] Operation: 82-57=25
Moving to Node #0,0
Current State: 52:[57, 52, 25], Operations: ['82-57=25']
Exploring Operation: 57-25=32, Resulting Numbers: [52, 32]
Generated Node #0,0,0: 52:[52, 32] Operation: 57-25=32
Exploring Operation: 57-52=5, Resulting Numbers: [25, 5]
Generated Node #0,0,1: 52:[25, 5] Operation: 57-52=5
Moving to Node #0,1
Current State: 52:[52, 57, 25], Operations: ['82-57=25']
Exploring Operation: 52-25=27, Resulting Numbers: [57, 27]
Generated Node #0,1,0: 52:[57, 27] Operation: 52-25=27
Exploring Operation: 57-52=5, Resulting Numbers: [25, 5]
Generated Node #0,1,1: 52:[25, 5] Operation: 57-52=5
Moving to Node #0,0,1
Current State: 52:[25, 5], Operations: ['82-57=25', '57-52=5']
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[25, 5], Operations: ['82-57=25', '57-52=5']
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[52, 32], Operations: ['82-57=25', '57-25=32']
Exploring Operation: 52+32=84, Resulting Numbers: [84]
84,52 unequal: No Solution
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[57, 27], Operations: ['82-57=25', '52-25=27']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 57+27=84, Resulting Numbers: [84]
84,52 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
84,
7,
92,
76
] | 12 | [
"92-84=8",
"76+8=84",
"84/7=12"
] | Current State: 12:[84, 7, 92, 76], Operations: []
Exploring Operation: 92-84=8, Resulting Numbers: [7, 76, 8]
Generated Node #2: [7, 76, 8] from Operation: 92-84=8
Current State: 12:[7, 76, 8], Operations: ['92-84=8']
Exploring Operation: 76+8=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 76+8=84
Current State: 12:[7, 84], Operations: ['92-84=8', '76+8=84']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[84, 7, 92, 76], Operations: []
Exploring Operation: 84-7=77, Resulting Numbers: [92, 76, 77]
Generated Node #0,0: 12:[92, 76, 77] Operation: 84-7=77
Exploring Operation: 92-76=16, Resulting Numbers: [84, 7, 16]
Generated Node #0,1: 12:[84, 7, 16] Operation: 92-76=16
Exploring Operation: 92-84=8, Resulting Numbers: [7, 76, 8]
Generated Node #0,2: 12:[7, 76, 8] Operation: 92-84=8
Exploring Operation: 84-76=8, Resulting Numbers: [7, 92, 8]
Generated Node #0,3: 12:[7, 92, 8] Operation: 84-76=8
Exploring Operation: 84/7=12, Resulting Numbers: [92, 76, 12]
Generated Node #0,4: 12:[92, 76, 12] Operation: 84/7=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[7, 76, 8], Operations: ['92-84=8']
Exploring Operation: 76-8=68, Resulting Numbers: [7, 68]
Generated Node #0,2,0: 12:[7, 68] Operation: 76-8=68
Exploring Operation: 8-7=1, Resulting Numbers: [76, 1]
Generated Node #0,2,1: 12:[76, 1] Operation: 8-7=1
Exploring Operation: 7+8=15, Resulting Numbers: [76, 15]
Generated Node #0,2,2: 12:[76, 15] Operation: 7+8=15
Exploring Operation: 7+76=83, Resulting Numbers: [8, 83]
Generated Node #0,2,3: 12:[8, 83] Operation: 7+76=83
Exploring Operation: 76-7=69, Resulting Numbers: [8, 69]
Generated Node #0,2,4: 12:[8, 69] Operation: 76-7=69
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 12:[7, 68], Operations: ['92-84=8', '76-8=68']
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,12 unequal: No Solution
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,12 unequal: No Solution
Exploring Operation: 7*68=476, Resulting Numbers: [476]
476,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 12:[8, 69], Operations: ['92-84=8', '76-7=69']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,12 unequal: No Solution
Exploring Operation: 8*69=552, Resulting Numbers: [552]
552,12 unequal: No Solution
Exploring Operation: 8+69=77, Resulting Numbers: [77]
77,12 unequal: No Solution
No 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: 12:[76, 1], Operations: ['92-84=8', '8-7=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,12 unequal: No Solution
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,12 unequal: No Solution
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,12 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,12 unequal: No Solution
No 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: 12:[76, 15], Operations: ['92-84=8', '7+8=15']
Exploring Operation: 76*15=1140, Resulting Numbers: [1140]
1140,12 unequal: No Solution
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,12 unequal: No Solution
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,12 unequal: No Solution
No 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: 12:[8, 83], Operations: ['92-84=8', '7+76=83']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,12 unequal: No Solution
Exploring Operation: 8*83=664, Resulting Numbers: [664]
664,12 unequal: No Solution
Exploring Operation: 8+83=91, Resulting Numbers: [91]
91,12 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: 12:[84, 7, 16], Operations: ['92-76=16']
Exploring Operation: 84-7=77, Resulting Numbers: [16, 77]
Generated Node #0,1,0: 12:[16, 77] Operation: 84-7=77
Exploring Operation: 84/7=12, Resulting Numbers: [16, 12]
Generated Node #0,1,1: 12:[16, 12] Operation: 84/7=12
Exploring Operation: 16-7=9, Resulting Numbers: [84, 9]
Generated Node #0,1,2: 12:[84, 9] Operation: 16-7=9
Exploring Operation: 84+7=91, Resulting Numbers: [16, 91]
Generated Node #0,1,3: 12:[16, 91] Operation: 84+7=91
Exploring Operation: 84-16=68, Resulting Numbers: [7, 68]
Generated Node #0,1,4: 12:[7, 68] Operation: 84-16=68
Moving to Node #0,1,1
Current State: 12:[16, 12], Operations: ['92-76=16', '84/7=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,12 unequal: No Solution
Moving to Node #0,1,4
Current State: 12:[7, 68], Operations: ['92-76=16', '84-16=68']
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,12 unequal: No Solution
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,12 unequal: No Solution
Exploring Operation: 7*68=476, Resulting Numbers: [476]
476,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[16, 77], Operations: ['92-76=16', '84-7=77']
Exploring Operation: 16+77=93, Resulting Numbers: [93]
93,12 unequal: No Solution
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,12 unequal: No Solution
Exploring Operation: 16*77=1232, Resulting Numbers: [1232]
1232,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[84, 9], Operations: ['92-76=16', '16-7=9']
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,12 unequal: No Solution
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,12 unequal: No Solution
Exploring Operation: 84*9=756, Resulting Numbers: [756]
756,12 unequal: No Solution
Moving to Node #0,1,3
Current State: 12:[16, 91], Operations: ['92-76=16', '84+7=91']
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,12 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,12 unequal: No Solution
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[7, 92, 8], Operations: ['84-76=8']
Exploring Operation: 8-7=1, Resulting Numbers: [92, 1]
Generated Node #0,3,0: 12:[92, 1] Operation: 8-7=1
Exploring Operation: 92-8=84, Resulting Numbers: [7, 84]
Generated Node #0,3,1: 12:[7, 84] Operation: 92-8=84
Exploring Operation: 7+92=99, Resulting Numbers: [8, 99]
Generated Node #0,3,2: 12:[8, 99] Operation: 7+92=99
Exploring Operation: 92-7=85, Resulting Numbers: [8, 85]
Generated Node #0,3,3: 12:[8, 85] Operation: 92-7=85
Exploring Operation: 7+8=15, Resulting Numbers: [92, 15]
Generated Node #0,3,4: 12:[92, 15] Operation: 7+8=15
Moving to Node #0,3,1
Current State: 12:[7, 84], Operations: ['84-76=8', '92-8=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,12 unequal: No Solution
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 7*84=588, Resulting Numbers: [588]
588,12 unequal: No Solution
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[84, 7, 92, 76], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [7, 92, 8]
Generated Node #0,3: 12:[7, 92, 8] Operation: 84-76=8
Moving to Node #0,3
Current State: 12:[7, 92, 8], Operations: ['84-76=8']
Exploring Operation: 92-8=84, Resulting Numbers: [7, 84]
Generated Node #0,3,1: 12:[7, 84] Operation: 92-8=84
Moving to Node #0,3,1
Current State: 12:[7, 84], Operations: ['84-76=8', '92-8=84']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.948785 | hs_5 | sum_heuristic |
[
48,
33,
32,
6
] | 37 | [
"48/6=8",
"32/8=4",
"33+4=37"
] | Current State: 37:[48, 33, 32, 6], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [33, 32, 8]
Generated Node #2: [33, 32, 8] from Operation: 48/6=8
Current State: 37:[33, 32, 8], Operations: ['48/6=8']
Exploring Operation: 32/8=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 32/8=4
Current State: 37:[33, 4], Operations: ['48/6=8', '32/8=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[48, 33, 32, 6], Operations: []
Exploring Operation: 48-6=42, Resulting Numbers: [33, 32, 42]
Generated Node #0,0: 37:[33, 32, 42] Operation: 48-6=42
Exploring Operation: 33+6=39, Resulting Numbers: [48, 32, 39]
Generated Node #0,1: 37:[48, 32, 39] Operation: 33+6=39
Exploring Operation: 48+6=54, Resulting Numbers: [33, 32, 54]
Generated Node #0,2: 37:[33, 32, 54] Operation: 48+6=54
Exploring Operation: 32+6=38, Resulting Numbers: [48, 33, 38]
Generated Node #0,3: 37:[48, 33, 38] Operation: 32+6=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[33, 32, 42], Operations: ['48-6=42']
Exploring Operation: 33+32=65, Resulting Numbers: [42, 65]
Generated Node #0,0,0: 37:[42, 65] Operation: 33+32=65
Exploring Operation: 33-32=1, Resulting Numbers: [42, 1]
Generated Node #0,0,1: 37:[42, 1] Operation: 33-32=1
Exploring Operation: 42-33=9, Resulting Numbers: [32, 9]
Generated Node #0,0,2: 37:[32, 9] Operation: 42-33=9
Exploring Operation: 42-32=10, Resulting Numbers: [33, 10]
Generated Node #0,0,3: 37:[33, 10] Operation: 42-32=10
Moving to Node #0,0,3
Current State: 37:[33, 10], Operations: ['48-6=42', '42-32=10']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[32, 9], Operations: ['48-6=42', '42-33=9']
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,37 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[42, 65], Operations: ['48-6=42', '33+32=65']
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 42*65=2730, Resulting Numbers: [2730]
2730,37 unequal: No Solution
Exploring Operation: 42+65=107, Resulting Numbers: [107]
107,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[42, 1], Operations: ['48-6=42', '33-32=1']
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[48, 33, 38], Operations: ['32+6=38']
Exploring Operation: 48-33=15, Resulting Numbers: [38, 15]
Generated Node #0,3,0: 37:[38, 15] Operation: 48-33=15
Exploring Operation: 38-33=5, Resulting Numbers: [48, 5]
Generated Node #0,3,1: 37:[48, 5] Operation: 38-33=5
Exploring Operation: 48+33=81, Resulting Numbers: [38, 81]
Generated Node #0,3,2: 37:[38, 81] Operation: 48+33=81
Exploring Operation: 48-38=10, Resulting Numbers: [33, 10]
Generated Node #0,3,3: 37:[33, 10] Operation: 48-38=10
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 37:[38, 15], Operations: ['32+6=38', '48-33=15']
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,37 unequal: No Solution
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 37:[33, 10], Operations: ['32+6=38', '48-38=10']
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,37 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 37:[48, 5], Operations: ['32+6=38', '38-33=5']
Exploring Operation: 48*5=240, Resulting Numbers: [240]
240,37 unequal: No Solution
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 37:[38, 81], Operations: ['32+6=38', '48+33=81']
Exploring Operation: 81-38=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 38*81=3078, Resulting Numbers: [3078]
3078,37 unequal: No Solution
Exploring Operation: 38+81=119, Resulting Numbers: [119]
119,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[48, 32, 39], Operations: ['33+6=39']
Exploring Operation: 39-32=7, Resulting Numbers: [48, 7]
Generated Node #0,1,0: 37:[48, 7] Operation: 39-32=7
Exploring Operation: 48+32=80, Resulting Numbers: [39, 80]
Generated Node #0,1,1: 37:[39, 80] Operation: 48+32=80
Exploring Operation: 48-32=16, Resulting Numbers: [39, 16]
Generated Node #0,1,2: 37:[39, 16] Operation: 48-32=16
Exploring Operation: 48-39=9, Resulting Numbers: [32, 9]
Generated Node #0,1,3: 37:[32, 9] Operation: 48-39=9
Moving to Node #0,1,2
Current State: 37:[39, 16], Operations: ['33+6=39', '48-32=16']
Exploring Operation: 39*16=624, Resulting Numbers: [624]
624,37 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[32, 9], Operations: ['33+6=39', '48-39=9']
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,37 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[48, 7], Operations: ['33+6=39', '39-32=7']
Exploring Operation: 48*7=336, Resulting Numbers: [336]
336,37 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[39, 80], Operations: ['33+6=39', '48+32=80']
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 39*80=3120, Resulting Numbers: [3120]
3120,37 unequal: No Solution
Exploring Operation: 39+80=119, Resulting Numbers: [119]
119,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[33, 32, 54], Operations: ['48+6=54']
Exploring Operation: 54-33=21, Resulting Numbers: [32, 21]
Generated Node #0,2,0: 37:[32, 21] Operation: 54-33=21
Exploring Operation: 33-32=1, Resulting Numbers: [54, 1]
Generated Node #0,2,1: 37:[54, 1] Operation: 33-32=1
Exploring Operation: 54-32=22, Resulting Numbers: [33, 22]
Generated Node #0,2,2: 37:[33, 22] Operation: 54-32=22
Exploring Operation: 33+32=65, Resulting Numbers: [54, 65]
Generated Node #0,2,3: 37:[54, 65] Operation: 33+32=65
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 37:[33, 22], Operations: ['48+6=54', '54-32=22']
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,37 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 37:[32, 21], Operations: ['48+6=54', '54-33=21']
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,37 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 37:[54, 65], Operations: ['48+6=54', '33+32=65']
Exploring Operation: 54+65=119, Resulting Numbers: [119]
119,37 unequal: No Solution
Exploring Operation: 54*65=3510, Resulting Numbers: [3510]
3510,37 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 37:[54, 1], Operations: ['48+6=54', '33-32=1']
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,37 unequal: No Solution
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
92,
5,
30,
5
] | 95 | [
"5+5=10",
"30/10=3",
"92+3=95"
] | Current State: 95:[92, 5, 30, 5], Operations: []
Exploring Operation: 5+5=10, Resulting Numbers: [92, 30, 10]
Generated Node #2: [92, 30, 10] from Operation: 5+5=10
Current State: 95:[92, 30, 10], Operations: ['5+5=10']
Exploring Operation: 30/10=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 30/10=3
Current State: 95:[92, 3], Operations: ['5+5=10', '30/10=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[92, 5, 30, 5], Operations: []
Exploring Operation: 30-5=25, Resulting Numbers: [92, 5, 25]
Generated Node #0,0: 95:[92, 5, 25] Operation: 30-5=25
Exploring Operation: 30/5=6, Resulting Numbers: [92, 5, 6]
Generated Node #0,1: 95:[92, 5, 6] Operation: 30/5=6
Exploring Operation: 92+5=97, Resulting Numbers: [30, 5, 97]
Generated Node #0,2: 95:[30, 5, 97] Operation: 92+5=97
Exploring Operation: 30-5=25, Resulting Numbers: [92, 5, 25]
Generated Node #0,3: 95:[92, 5, 25] Operation: 30-5=25
Exploring Operation: 30/5=6, Resulting Numbers: [92, 5, 6]
Generated Node #0,4: 95:[92, 5, 6] Operation: 30/5=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[92, 5, 6], Operations: ['30/5=6']
Exploring Operation: 92+6=98, Resulting Numbers: [5, 98]
Generated Node #0,1,0: 95:[5, 98] Operation: 92+6=98
Exploring Operation: 6-5=1, Resulting Numbers: [92, 1]
Generated Node #0,1,1: 95:[92, 1] Operation: 6-5=1
Exploring Operation: 92-5=87, Resulting Numbers: [6, 87]
Generated Node #0,1,2: 95:[6, 87] Operation: 92-5=87
Exploring Operation: 92-6=86, Resulting Numbers: [5, 86]
Generated Node #0,1,3: 95:[5, 86] Operation: 92-6=86
Exploring Operation: 92+5=97, Resulting Numbers: [6, 97]
Generated Node #0,1,4: 95:[6, 97] Operation: 92+5=97
Moving to Node #0,1,0
Current State: 95:[5, 98], Operations: ['30/5=6', '92+6=98']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Exploring Operation: 5+98=103, Resulting Numbers: [103]
103,95 unequal: No Solution
Exploring Operation: 5*98=490, Resulting Numbers: [490]
490,95 unequal: No Solution
Moving to Node #0,1,4
Current State: 95:[6, 97], Operations: ['30/5=6', '92+5=97']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 6+97=103, Resulting Numbers: [103]
103,95 unequal: No Solution
Exploring Operation: 6*97=582, Resulting Numbers: [582]
582,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[92, 1], Operations: ['30/5=6', '6-5=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,95 unequal: No Solution
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[6, 87], Operations: ['30/5=6', '92-5=87']
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Exploring Operation: 6*87=522, Resulting Numbers: [522]
522,95 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,95 unequal: No Solution
Moving to Node #0,1,3
Current State: 95:[5, 86], Operations: ['30/5=6', '92-6=86']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,95 unequal: No Solution
Exploring Operation: 5*86=430, Resulting Numbers: [430]
430,95 unequal: No Solution
Exploring Operation: 5+86=91, Resulting Numbers: [91]
91,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 95:[92, 5, 6], Operations: ['30/5=6']
Exploring Operation: 6-5=1, Resulting Numbers: [92, 1]
Generated Node #0,4,0: 95:[92, 1] Operation: 6-5=1
Exploring Operation: 92+5=97, Resulting Numbers: [6, 97]
Generated Node #0,4,1: 95:[6, 97] Operation: 92+5=97
Exploring Operation: 92+6=98, Resulting Numbers: [5, 98]
Generated Node #0,4,2: 95:[5, 98] Operation: 92+6=98
Exploring Operation: 92-5=87, Resulting Numbers: [6, 87]
Generated Node #0,4,3: 95:[6, 87] Operation: 92-5=87
Exploring Operation: 92-6=86, Resulting Numbers: [5, 86]
Generated Node #0,4,4: 95:[5, 86] Operation: 92-6=86
Moving to Node #0,4,1
Current State: 95:[6, 97], Operations: ['30/5=6', '92+5=97']
Exploring Operation: 6*97=582, Resulting Numbers: [582]
582,95 unequal: No Solution
Exploring Operation: 6+97=103, Resulting Numbers: [103]
103,95 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Moving to Node #0,4,2
Current State: 95:[5, 98], Operations: ['30/5=6', '92+6=98']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Exploring Operation: 5*98=490, Resulting Numbers: [490]
490,95 unequal: No Solution
Exploring Operation: 5+98=103, Resulting Numbers: [103]
103,95 unequal: No Solution
Moving to Node #0,4,0
Current State: 95:[92, 1], Operations: ['30/5=6', '6-5=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,95 unequal: No Solution
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,95 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Moving to Node #0,4,3
Current State: 95:[6, 87], Operations: ['30/5=6', '92-5=87']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,95 unequal: No Solution
Exploring Operation: 6*87=522, Resulting Numbers: [522]
522,95 unequal: No Solution
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Moving to Node #0,4,4
Current State: 95:[5, 86], Operations: ['30/5=6', '92-6=86']
Exploring Operation: 5+86=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,95 unequal: No Solution
Exploring Operation: 5*86=430, Resulting Numbers: [430]
430,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[92, 5, 25], Operations: ['30-5=25']
Exploring Operation: 5+25=30, Resulting Numbers: [92, 30]
Generated Node #0,0,0: 95:[92, 30] Operation: 5+25=30
Exploring Operation: 25-5=20, Resulting Numbers: [92, 20]
Generated Node #0,0,1: 95:[92, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [92, 5]
Generated Node #0,0,2: 95:[92, 5] Operation: 25/5=5
Exploring Operation: 92-5=87, Resulting Numbers: [25, 87]
Generated Node #0,0,3: 95:[25, 87] Operation: 92-5=87
Exploring Operation: 92+5=97, Resulting Numbers: [25, 97]
Generated Node #0,0,4: 95:[25, 97] Operation: 92+5=97
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[92, 5], Operations: ['30-5=25', '25/5=5']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,95 unequal: No Solution
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,95 unequal: No Solution
Exploring Operation: 92*5=460, Resulting Numbers: [460]
460,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[92, 20], Operations: ['30-5=25', '25-5=20']
Exploring Operation: 92*20=1840, Resulting Numbers: [1840]
1840,95 unequal: No Solution
Exploring Operation: 92+20=112, Resulting Numbers: [112]
112,95 unequal: No Solution
Exploring Operation: 92-20=72, Resulting Numbers: [72]
72,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 95:[25, 97], Operations: ['30-5=25', '92+5=97']
Exploring Operation: 25+97=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Exploring Operation: 25*97=2425, Resulting Numbers: [2425]
2425,95 unequal: No Solution
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[92, 30], Operations: ['30-5=25', '5+25=30']
Exploring Operation: 92+30=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 92*30=2760, Resulting Numbers: [2760]
2760,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[25, 87], Operations: ['30-5=25', '92-5=87']
Exploring Operation: 25+87=112, Resulting Numbers: [112]
112,95 unequal: No Solution
Exploring Operation: 87-25=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 25*87=2175, Resulting Numbers: [2175]
2175,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[92, 5, 25], Operations: ['30-5=25']
Exploring Operation: 92+5=97, Resulting Numbers: [25, 97]
Generated Node #0,3,0: 95:[25, 97] Operation: 92+5=97
Exploring Operation: 92-5=87, Resulting Numbers: [25, 87]
Generated Node #0,3,1: 95:[25, 87] Operation: 92-5=87
Exploring Operation: 25-5=20, Resulting Numbers: [92, 20]
Generated Node #0,3,2: 95:[92, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [92, 5]
Generated Node #0,3,3: 95:[92, 5] Operation: 25/5=5
Exploring Operation: 5+25=30, Resulting Numbers: [92, 30]
Generated Node #0,3,4: 95:[92, 30] Operation: 5+25=30
Moving to Node #0,3,3
Current State: 95:[92, 5], Operations: ['30-5=25', '25/5=5']
Exploring Operation: 92*5=460, Resulting Numbers: [460]
460,95 unequal: No Solution
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,95 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[92, 20], Operations: ['30-5=25', '25-5=20']
Exploring Operation: 92+20=112, Resulting Numbers: [112]
112,95 unequal: No Solution
Exploring Operation: 92-20=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 92*20=1840, Resulting Numbers: [1840]
1840,95 unequal: No Solution
Moving to Node #0,3,0
Current State: 95:[25, 97], Operations: ['30-5=25', '92+5=97']
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 25+97=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Exploring Operation: 25*97=2425, Resulting Numbers: [2425]
2425,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[25, 87], Operations: ['30-5=25', '92-5=87']
Exploring Operation: 25+87=112, Resulting Numbers: [112]
112,95 unequal: No Solution
Exploring Operation: 87-25=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 25*87=2175, Resulting Numbers: [2175]
2175,95 unequal: No Solution
Moving to Node #0,3,4
Current State: 95:[92, 30], Operations: ['30-5=25', '5+25=30']
Exploring Operation: 92*30=2760, Resulting Numbers: [2760]
2760,95 unequal: No Solution
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 92+30=122, Resulting Numbers: [122]
122,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[30, 5, 97], Operations: ['92+5=97']
Exploring Operation: 5+97=102, Resulting Numbers: [30, 102]
Generated Node #0,2,0: 95:[30, 102] Operation: 5+97=102
Exploring Operation: 30/5=6, Resulting Numbers: [97, 6]
Generated Node #0,2,1: 95:[97, 6] Operation: 30/5=6
Exploring Operation: 97-5=92, Resulting Numbers: [30, 92]
Generated Node #0,2,2: 95:[30, 92] Operation: 97-5=92
Exploring Operation: 30-5=25, Resulting Numbers: [97, 25]
Generated Node #0,2,3: 95:[97, 25] Operation: 30-5=25
Exploring Operation: 30+5=35, Resulting Numbers: [97, 35]
Generated Node #0,2,4: 95:[97, 35] Operation: 30+5=35
Moving to Node #0,2,1
Current State: 95:[97, 6], Operations: ['92+5=97', '30/5=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,95 unequal: No Solution
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[97, 25], Operations: ['92+5=97', '30-5=25']
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 97*25=2425, Resulting Numbers: [2425]
2425,95 unequal: No Solution
Exploring Operation: 97+25=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[30, 92], Operations: ['92+5=97', '97-5=92']
Exploring Operation: 30*92=2760, Resulting Numbers: [2760]
2760,95 unequal: No Solution
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 30+92=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[30, 102], Operations: ['92+5=97', '5+97=102']
Exploring Operation: 30*102=3060, Resulting Numbers: [3060]
3060,95 unequal: No Solution
Exploring Operation: 102-30=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 30+102=132, Resulting Numbers: [132]
132,95 unequal: No Solution
Moving to Node #0,2,4
Current State: 95:[97, 35], Operations: ['92+5=97', '30+5=35']
Exploring Operation: 97*35=3395, Resulting Numbers: [3395]
3395,95 unequal: No Solution
Exploring Operation: 97-35=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 97+35=132, Resulting Numbers: [132]
132,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
74,
64,
1,
62
] | 74 | [
"64-1=63",
"63-62=1",
"74*1=74"
] | Current State: 74:[74, 64, 1, 62], Operations: []
Exploring Operation: 64-1=63, Resulting Numbers: [74, 62, 63]
Generated Node #2: [74, 62, 63] from Operation: 64-1=63
Current State: 74:[74, 62, 63], Operations: ['64-1=63']
Exploring Operation: 63-62=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 63-62=1
Current State: 74:[74, 1], Operations: ['64-1=63', '63-62=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[74, 64, 1, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [74, 1, 2]
Generated Node #0,0: 74:[74, 1, 2] Operation: 64-62=2
Moving to Node #0,0
Current State: 74:[74, 1, 2], Operations: ['64-62=2']
Exploring Operation: 74*1=74, Resulting Numbers: [2, 74]
Generated Node #0,0,0: 74:[2, 74] Operation: 74*1=74
Moving to Node #0,0,0
Current State: 74:[2, 74], Operations: ['64-62=2', '74*1=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,74 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
46,
18,
81,
81
] | 37 | [
"81+81=162",
"162/18=9",
"46-9=37"
] | Current State: 37:[46, 18, 81, 81], Operations: []
Exploring Operation: 81+81=162, Resulting Numbers: [46, 18, 162]
Generated Node #2: [46, 18, 162] from Operation: 81+81=162
Current State: 37:[46, 18, 162], Operations: ['81+81=162']
Exploring Operation: 162/18=9, Resulting Numbers: [46, 9]
Generated Node #3: [46, 9] from Operation: 162/18=9
Current State: 37:[46, 9], Operations: ['81+81=162', '162/18=9']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[46, 18, 81, 81], Operations: []
Exploring Operation: 81-46=35, Resulting Numbers: [18, 81, 35]
Generated Node #0,0: 37:[18, 81, 35] Operation: 81-46=35
Exploring Operation: 81/81=1, Resulting Numbers: [46, 18, 1]
Generated Node #0,1: 37:[46, 18, 1] Operation: 81/81=1
Exploring Operation: 81-46=35, Resulting Numbers: [18, 81, 35]
Generated Node #0,2: 37:[18, 81, 35] Operation: 81-46=35
Moving to Node #0,1
Current State: 37:[46, 18, 1], Operations: ['81/81=1']
Exploring Operation: 46-1=45, Resulting Numbers: [18, 45]
Generated Node #0,1,0: 37:[18, 45] Operation: 46-1=45
Exploring Operation: 46*1=46, Resulting Numbers: [18, 46]
Generated Node #0,1,1: 37:[18, 46] Operation: 46*1=46
Exploring Operation: 18+1=19, Resulting Numbers: [46, 19]
Generated Node #0,1,2: 37:[46, 19] Operation: 18+1=19
Moving to Node #0,0
Current State: 37:[18, 81, 35], Operations: ['81-46=35']
Exploring Operation: 18+35=53, Resulting Numbers: [81, 53]
Generated Node #0,0,0: 37:[81, 53] Operation: 18+35=53
Exploring Operation: 81-18=63, Resulting Numbers: [35, 63]
Generated Node #0,0,1: 37:[35, 63] Operation: 81-18=63
Exploring Operation: 81-35=46, Resulting Numbers: [18, 46]
Generated Node #0,0,2: 37:[18, 46] Operation: 81-35=46
Moving to Node #0,2
Current State: 37:[18, 81, 35], Operations: ['81-46=35']
Exploring Operation: 81-18=63, Resulting Numbers: [35, 63]
Generated Node #0,2,0: 37:[35, 63] Operation: 81-18=63
Exploring Operation: 81-35=46, Resulting Numbers: [18, 46]
Generated Node #0,2,1: 37:[18, 46] Operation: 81-35=46
Exploring Operation: 18+35=53, Resulting Numbers: [81, 53]
Generated Node #0,2,2: 37:[81, 53] Operation: 18+35=53
Moving to Node #0,1,0
Current State: 37:[18, 45], Operations: ['81/81=1', '46-1=45']
Exploring Operation: 18*45=810, Resulting Numbers: [810]
810,37 unequal: No Solution
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 18+45=63, Resulting Numbers: [63]
63,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[46, 19], Operations: ['81/81=1', '18+1=19']
Exploring Operation: 46*19=874, Resulting Numbers: [874]
874,37 unequal: No Solution
Exploring Operation: 46+19=65, Resulting Numbers: [65]
65,37 unequal: No Solution
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[18, 46], Operations: ['81/81=1', '46*1=46']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 18*46=828, Resulting Numbers: [828]
828,37 unequal: No Solution
Exploring Operation: 18+46=64, Resulting Numbers: [64]
64,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[35, 63], Operations: ['81-46=35', '81-18=63']
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,37 unequal: No Solution
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[18, 46], Operations: ['81-46=35', '81-35=46']
Exploring Operation: 18+46=64, Resulting Numbers: [64]
64,37 unequal: No Solution
Exploring Operation: 18*46=828, Resulting Numbers: [828]
828,37 unequal: No Solution
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[18, 46], Operations: ['81-46=35', '81-35=46']
Exploring Operation: 18*46=828, Resulting Numbers: [828]
828,37 unequal: No Solution
Exploring Operation: 18+46=64, Resulting Numbers: [64]
64,37 unequal: No Solution
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[35, 63], Operations: ['81-46=35', '81-18=63']
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,37 unequal: No Solution
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[81, 53], Operations: ['81-46=35', '18+35=53']
Exploring Operation: 81*53=4293, Resulting Numbers: [4293]
4293,37 unequal: No Solution
Exploring Operation: 81+53=134, Resulting Numbers: [134]
134,37 unequal: No Solution
Exploring Operation: 81-53=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[81, 53], Operations: ['81-46=35', '18+35=53']
Exploring Operation: 81*53=4293, Resulting Numbers: [4293]
4293,37 unequal: No Solution
Exploring Operation: 81+53=134, Resulting Numbers: [134]
134,37 unequal: No Solution
Exploring Operation: 81-53=28, Resulting Numbers: [28]
28,37 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
4,
13,
3,
29
] | 15 | [
"4+13=17",
"3+29=32",
"32-17=15"
] | Current State: 15:[4, 13, 3, 29], Operations: []
Exploring Operation: 4+13=17, Resulting Numbers: [3, 29, 17]
Generated Node #2: [3, 29, 17] from Operation: 4+13=17
Current State: 15:[3, 29, 17], Operations: ['4+13=17']
Exploring Operation: 3+29=32, Resulting Numbers: [17, 32]
Generated Node #3: [17, 32] from Operation: 3+29=32
Current State: 15:[17, 32], Operations: ['4+13=17', '3+29=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[4, 13, 3, 29], Operations: []
Exploring Operation: 29-4=25, Resulting Numbers: [13, 3, 25]
Generated Node #0,0: 15:[13, 3, 25] Operation: 29-4=25
Exploring Operation: 29-13=16, Resulting Numbers: [4, 3, 16]
Generated Node #0,1: 15:[4, 3, 16] Operation: 29-13=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[4, 3, 16], Operations: ['29-13=16']
Exploring Operation: 4+3=7, Resulting Numbers: [16, 7]
Generated Node #0,1,0: 15:[16, 7] Operation: 4+3=7
Exploring Operation: 16/4=4, Resulting Numbers: [3, 4]
Generated Node #0,1,1: 15:[3, 4] Operation: 16/4=4
Moving to Node #0,1,1
Current State: 15:[3, 4], Operations: ['29-13=16', '16/4=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[16, 7], Operations: ['29-13=16', '4+3=7']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,15 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 #0,0
Current State: 15:[13, 3, 25], Operations: ['29-4=25']
Exploring Operation: 25-13=12, Resulting Numbers: [3, 12]
Generated Node #0,0,0: 15:[3, 12] Operation: 25-13=12
Exploring Operation: 25-3=22, Resulting Numbers: [13, 22]
Generated Node #0,0,1: 15:[13, 22] Operation: 25-3=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[3, 12], Operations: ['29-4=25', '25-13=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[4, 13, 3, 29], Operations: []
Exploring Operation: 29-4=25, Resulting Numbers: [13, 3, 25]
Generated Node #0,0: 15:[13, 3, 25] Operation: 29-4=25
Moving to Node #0,0
Current State: 15:[13, 3, 25], Operations: ['29-4=25']
Exploring Operation: 25-13=12, Resulting Numbers: [3, 12]
Generated Node #0,0,0: 15:[3, 12] Operation: 25-13=12
Moving to Node #0,0,0
Current State: 15:[3, 12], Operations: ['29-4=25', '25-13=12']
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
38,
78,
48,
36
] | 63 | [
"38-36=2",
"78+48=126",
"126/2=63"
] | Current State: 63:[38, 78, 48, 36], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [78, 48, 2]
Generated Node #2: [78, 48, 2] from Operation: 38-36=2
Current State: 63:[78, 48, 2], Operations: ['38-36=2']
Exploring Operation: 78+48=126, Resulting Numbers: [2, 126]
Generated Node #3: [2, 126] from Operation: 78+48=126
Current State: 63:[2, 126], Operations: ['38-36=2', '78+48=126']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[38, 78, 48, 36], Operations: []
Exploring Operation: 38+36=74, Resulting Numbers: [78, 48, 74]
Generated Node #0,0: 63:[78, 48, 74] Operation: 38+36=74
Exploring Operation: 78-48=30, Resulting Numbers: [38, 36, 30]
Generated Node #0,1: 63:[38, 36, 30] Operation: 78-48=30
Exploring Operation: 48-38=10, Resulting Numbers: [78, 36, 10]
Generated Node #0,2: 63:[78, 36, 10] Operation: 48-38=10
Exploring Operation: 38-36=2, Resulting Numbers: [78, 48, 2]
Generated Node #0,3: 63:[78, 48, 2] Operation: 38-36=2
Exploring Operation: 48-36=12, Resulting Numbers: [38, 78, 12]
Generated Node #0,4: 63:[38, 78, 12] Operation: 48-36=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[78, 36, 10], Operations: ['48-38=10']
Exploring Operation: 78-36=42, Resulting Numbers: [10, 42]
Generated Node #0,2,0: 63:[10, 42] Operation: 78-36=42
Exploring Operation: 36-10=26, Resulting Numbers: [78, 26]
Generated Node #0,2,1: 63:[78, 26] Operation: 36-10=26
Exploring Operation: 78+10=88, Resulting Numbers: [36, 88]
Generated Node #0,2,2: 63:[36, 88] Operation: 78+10=88
Exploring Operation: 36+10=46, Resulting Numbers: [78, 46]
Generated Node #0,2,3: 63:[78, 46] Operation: 36+10=46
Exploring Operation: 78-10=68, Resulting Numbers: [36, 68]
Generated Node #0,2,4: 63:[36, 68] Operation: 78-10=68
Moving to Node #0,2,1
Current State: 63:[78, 26], Operations: ['48-38=10', '36-10=26']
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 78*26=2028, Resulting Numbers: [2028]
2028,63 unequal: No Solution
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Moving to Node #0,2,4
Current State: 63:[36, 68], Operations: ['48-38=10', '78-10=68']
Exploring Operation: 36+68=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 36*68=2448, Resulting Numbers: [2448]
2448,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[10, 42], Operations: ['48-38=10', '78-36=42']
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,63 unequal: No Solution
Moving to Node #0,2,3
Current State: 63:[78, 46], Operations: ['48-38=10', '36+10=46']
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,63 unequal: No Solution
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[36, 88], Operations: ['48-38=10', '78+10=88']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 36*88=3168, Resulting Numbers: [3168]
3168,63 unequal: No Solution
Exploring Operation: 36+88=124, Resulting Numbers: [124]
124,63 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 #0,3
Current State: 63:[78, 48, 2], Operations: ['38-36=2']
Exploring Operation: 48/2=24, Resulting Numbers: [78, 24]
Generated Node #0,3,0: 63:[78, 24] Operation: 48/2=24
Exploring Operation: 78-2=76, Resulting Numbers: [48, 76]
Generated Node #0,3,1: 63:[48, 76] Operation: 78-2=76
Exploring Operation: 48+2=50, Resulting Numbers: [78, 50]
Generated Node #0,3,2: 63:[78, 50] Operation: 48+2=50
Exploring Operation: 78-48=30, Resulting Numbers: [2, 30]
Generated Node #0,3,3: 63:[2, 30] Operation: 78-48=30
Exploring Operation: 78+2=80, Resulting Numbers: [48, 80]
Generated Node #0,3,4: 63:[48, 80] Operation: 78+2=80
Moving to Node #0,3,3
Current State: 63:[2, 30], Operations: ['38-36=2', '78-48=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Moving to Node #0,3,0
Current State: 63:[78, 24], Operations: ['38-36=2', '48/2=24']
Exploring Operation: 78+24=102, Resulting Numbers: [102]
102,63 unequal: No Solution
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,63 unequal: No Solution
Exploring Operation: 78*24=1872, Resulting Numbers: [1872]
1872,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[48, 76], Operations: ['38-36=2', '78-2=76']
Exploring Operation: 48*76=3648, Resulting Numbers: [3648]
3648,63 unequal: No Solution
Exploring Operation: 76-48=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Exploring Operation: 48+76=124, Resulting Numbers: [124]
124,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[78, 50], Operations: ['38-36=2', '48+2=50']
Exploring Operation: 78*50=3900, Resulting Numbers: [3900]
3900,63 unequal: No Solution
Exploring Operation: 78+50=128, Resulting Numbers: [128]
128,63 unequal: No Solution
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Moving to Node #0,3,4
Current State: 63:[48, 80], Operations: ['38-36=2', '78+2=80']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 48*80=3840, Resulting Numbers: [3840]
3840,63 unequal: No Solution
Exploring Operation: 48+80=128, Resulting Numbers: [128]
128,63 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 #0,4
Current State: 63:[38, 78, 12], Operations: ['48-36=12']
Exploring Operation: 78-12=66, Resulting Numbers: [38, 66]
Generated Node #0,4,0: 63:[38, 66] Operation: 78-12=66
Exploring Operation: 38-12=26, Resulting Numbers: [78, 26]
Generated Node #0,4,1: 63:[78, 26] Operation: 38-12=26
Exploring Operation: 78-38=40, Resulting Numbers: [12, 40]
Generated Node #0,4,2: 63:[12, 40] Operation: 78-38=40
Exploring Operation: 78+12=90, Resulting Numbers: [38, 90]
Generated Node #0,4,3: 63:[38, 90] Operation: 78+12=90
Exploring Operation: 38+12=50, Resulting Numbers: [78, 50]
Generated Node #0,4,4: 63:[78, 50] Operation: 38+12=50
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 63:[38, 66], Operations: ['48-36=12', '78-12=66']
Exploring Operation: 38*66=2508, Resulting Numbers: [2508]
2508,63 unequal: No Solution
Exploring Operation: 66-38=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Exploring Operation: 38+66=104, Resulting Numbers: [104]
104,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 63:[78, 26], Operations: ['48-36=12', '38-12=26']
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 78*26=2028, Resulting Numbers: [2028]
2028,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 63:[12, 40], Operations: ['48-36=12', '78-38=40']
Exploring Operation: 12*40=480, Resulting Numbers: [480]
480,63 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Exploring Operation: 12+40=52, Resulting Numbers: [52]
52,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 63:[78, 50], Operations: ['48-36=12', '38+12=50']
Exploring Operation: 78+50=128, Resulting Numbers: [128]
128,63 unequal: No Solution
Exploring Operation: 78*50=3900, Resulting Numbers: [3900]
3900,63 unequal: No Solution
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 63:[38, 90], Operations: ['48-36=12', '78+12=90']
Exploring Operation: 38+90=128, Resulting Numbers: [128]
128,63 unequal: No Solution
Exploring Operation: 38*90=3420, Resulting Numbers: [3420]
3420,63 unequal: No Solution
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[78, 48, 74], Operations: ['38+36=74']
Exploring Operation: 78+48=126, Resulting Numbers: [74, 126]
Generated Node #0,0,0: 63:[74, 126] Operation: 78+48=126
Exploring Operation: 78-48=30, Resulting Numbers: [74, 30]
Generated Node #0,0,1: 63:[74, 30] Operation: 78-48=30
Exploring Operation: 74-48=26, Resulting Numbers: [78, 26]
Generated Node #0,0,2: 63:[78, 26] Operation: 74-48=26
Exploring Operation: 78-74=4, Resulting Numbers: [48, 4]
Generated Node #0,0,3: 63:[48, 4] Operation: 78-74=4
Exploring Operation: 48+74=122, Resulting Numbers: [78, 122]
Generated Node #0,0,4: 63:[78, 122] Operation: 48+74=122
Moving to Node #0,0,3
Current State: 63:[48, 4], Operations: ['38+36=74', '78-74=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,63 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[78, 26], Operations: ['38+36=74', '74-48=26']
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 78*26=2028, Resulting Numbers: [2028]
2028,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[74, 30], Operations: ['38+36=74', '78-48=30']
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 74+30=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Exploring Operation: 74*30=2220, Resulting Numbers: [2220]
2220,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[74, 126], Operations: ['38+36=74', '78+48=126']
Exploring Operation: 126-74=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 74*126=9324, Resulting Numbers: [9324]
9324,63 unequal: No Solution
Exploring Operation: 74+126=200, Resulting Numbers: [200]
200,63 unequal: No Solution
Moving to Node #0,0,4
Current State: 63:[78, 122], Operations: ['38+36=74', '48+74=122']
Exploring Operation: 78*122=9516, Resulting Numbers: [9516]
9516,63 unequal: No Solution
Exploring Operation: 78+122=200, Resulting Numbers: [200]
200,63 unequal: No Solution
Exploring Operation: 122-78=44, Resulting Numbers: [44]
44,63 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 #0,1
Current State: 63:[38, 36, 30], Operations: ['78-48=30']
Exploring Operation: 38-30=8, Resulting Numbers: [36, 8]
Generated Node #0,1,0: 63:[36, 8] Operation: 38-30=8
Exploring Operation: 36-30=6, Resulting Numbers: [38, 6]
Generated Node #0,1,1: 63:[38, 6] Operation: 36-30=6
Exploring Operation: 38+36=74, Resulting Numbers: [30, 74]
Generated Node #0,1,2: 63:[30, 74] Operation: 38+36=74
Exploring Operation: 38-36=2, Resulting Numbers: [30, 2]
Generated Node #0,1,3: 63:[30, 2] Operation: 38-36=2
Exploring Operation: 38+30=68, Resulting Numbers: [36, 68]
Generated Node #0,1,4: 63:[36, 68] Operation: 38+30=68
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 63:[30, 2], Operations: ['78-48=30', '38-36=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,63 unequal: No Solution
No 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: 63:[36, 8], Operations: ['78-48=30', '38-30=8']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,63 unequal: No Solution
No 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: 63:[38, 6], Operations: ['78-48=30', '36-30=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,63 unequal: No Solution
No 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: 63:[30, 74], Operations: ['78-48=30', '38+36=74']
Exploring Operation: 30+74=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Exploring Operation: 30*74=2220, Resulting Numbers: [2220]
2220,63 unequal: No Solution
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 63:[36, 68], Operations: ['78-48=30', '38+30=68']
Exploring Operation: 36+68=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,63 unequal: No Solution
Exploring Operation: 36*68=2448, Resulting Numbers: [2448]
2448,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
69,
65,
23,
98
] | 79 | [
"69-65=4",
"98-23=75",
"4+75=79"
] | Current State: 79:[69, 65, 23, 98], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [23, 98, 4]
Generated Node #2: [23, 98, 4] from Operation: 69-65=4
Current State: 79:[23, 98, 4], Operations: ['69-65=4']
Exploring Operation: 98-23=75, Resulting Numbers: [4, 75]
Generated Node #3: [4, 75] from Operation: 98-23=75
Current State: 79:[4, 75], Operations: ['69-65=4', '98-23=75']
Exploring Operation: 4+75=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[69, 65, 23, 98], Operations: []
Exploring Operation: 65+23=88, Resulting Numbers: [69, 98, 88]
Generated Node #0,0: 79:[69, 98, 88] Operation: 65+23=88
Exploring Operation: 98-23=75, Resulting Numbers: [69, 65, 75]
Generated Node #0,1: 79:[69, 65, 75] Operation: 98-23=75
Exploring Operation: 69+23=92, Resulting Numbers: [65, 98, 92]
Generated Node #0,2: 79:[65, 98, 92] Operation: 69+23=92
Exploring Operation: 69-23=46, Resulting Numbers: [65, 98, 46]
Generated Node #0,3: 79:[65, 98, 46] Operation: 69-23=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[69, 65, 75], Operations: ['98-23=75']
Exploring Operation: 69+65=134, Resulting Numbers: [75, 134]
Generated Node #0,1,0: 79:[75, 134] Operation: 69+65=134
Exploring Operation: 69-65=4, Resulting Numbers: [75, 4]
Generated Node #0,1,1: 79:[75, 4] Operation: 69-65=4
Exploring Operation: 69+75=144, Resulting Numbers: [65, 144]
Generated Node #0,1,2: 79:[65, 144] Operation: 69+75=144
Exploring Operation: 65+75=140, Resulting Numbers: [69, 140]
Generated Node #0,1,3: 79:[69, 140] Operation: 65+75=140
Moving to Node #0,1,0
Current State: 79:[75, 134], Operations: ['98-23=75', '69+65=134']
Exploring Operation: 75+134=209, Resulting Numbers: [209]
209,79 unequal: No Solution
Exploring Operation: 75*134=10050, Resulting Numbers: [10050]
10050,79 unequal: No Solution
Exploring Operation: 134-75=59, Resulting Numbers: [59]
59,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[69, 140], Operations: ['98-23=75', '65+75=140']
Exploring Operation: 69+140=209, Resulting Numbers: [209]
209,79 unequal: No Solution
Exploring Operation: 69*140=9660, Resulting Numbers: [9660]
9660,79 unequal: No Solution
Exploring Operation: 140-69=71, Resulting Numbers: [71]
71,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[65, 144], Operations: ['98-23=75', '69+75=144']
Exploring Operation: 65+144=209, Resulting Numbers: [209]
209,79 unequal: No Solution
Exploring Operation: 65*144=9360, Resulting Numbers: [9360]
9360,79 unequal: No Solution
Exploring Operation: 144-65=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[69, 65, 23, 98], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [69, 65, 75]
Generated Node #0,1: 79:[69, 65, 75] Operation: 98-23=75
Moving to Node #0,1
Current State: 79:[69, 65, 75], Operations: ['98-23=75']
Exploring Operation: 69+75=144, Resulting Numbers: [65, 144]
Generated Node #0,1,2: 79:[65, 144] Operation: 69+75=144
Moving to Node #0,1,2
Current State: 79:[65, 144], Operations: ['98-23=75', '69+75=144']
Exploring Operation: 144-65=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
26,
22,
82,
11
] | 15 | [
"22+82=104",
"104/26=4",
"11+4=15"
] | Current State: 15:[26, 22, 82, 11], Operations: []
Exploring Operation: 22+82=104, Resulting Numbers: [26, 11, 104]
Generated Node #2: [26, 11, 104] from Operation: 22+82=104
Current State: 15:[26, 11, 104], Operations: ['22+82=104']
Exploring Operation: 104/26=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 104/26=4
Current State: 15:[11, 4], Operations: ['22+82=104', '104/26=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[26, 22, 82, 11], Operations: []
Exploring Operation: 82-26=56, Resulting Numbers: [22, 11, 56]
Generated Node #0,0: 15:[22, 11, 56] Operation: 82-26=56
Exploring Operation: 82-22=60, Resulting Numbers: [26, 11, 60]
Generated Node #0,1: 15:[26, 11, 60] Operation: 82-22=60
Exploring Operation: 26-22=4, Resulting Numbers: [82, 11, 4]
Generated Node #0,2: 15:[82, 11, 4] Operation: 26-22=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[22, 11, 56], Operations: ['82-26=56']
Exploring Operation: 22/11=2, Resulting Numbers: [56, 2]
Generated Node #0,0,0: 15:[56, 2] Operation: 22/11=2
Exploring Operation: 56-22=34, Resulting Numbers: [11, 34]
Generated Node #0,0,1: 15:[11, 34] Operation: 56-22=34
Exploring Operation: 56-11=45, Resulting Numbers: [22, 45]
Generated Node #0,0,2: 15:[22, 45] Operation: 56-11=45
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[11, 34], Operations: ['82-26=56', '56-22=34']
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,15 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 15:[22, 45], Operations: ['82-26=56', '56-11=45']
Exploring Operation: 22+45=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 22*45=990, Resulting Numbers: [990]
990,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[56, 2], Operations: ['82-26=56', '22/11=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[26, 11, 60], Operations: ['82-22=60']
Exploring Operation: 26-11=15, Resulting Numbers: [60, 15]
Generated Node #0,1,0: 15:[60, 15] Operation: 26-11=15
Exploring Operation: 60-11=49, Resulting Numbers: [26, 49]
Generated Node #0,1,1: 15:[26, 49] Operation: 60-11=49
Exploring Operation: 60-26=34, Resulting Numbers: [11, 34]
Generated Node #0,1,2: 15:[11, 34] Operation: 60-26=34
Moving to Node #0,1,2
Current State: 15:[11, 34], Operations: ['82-22=60', '60-26=34']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,15 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[60, 15], Operations: ['82-22=60', '26-11=15']
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 60+15=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[26, 49], Operations: ['82-22=60', '60-11=49']
Exploring Operation: 26*49=1274, Resulting Numbers: [1274]
1274,15 unequal: No Solution
Exploring Operation: 26+49=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,15 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
Current State: 15:[82, 11, 4], Operations: ['26-22=4']
Exploring Operation: 82-4=78, Resulting Numbers: [11, 78]
Generated Node #0,2,0: 15:[11, 78] Operation: 82-4=78
Exploring Operation: 11+4=15, Resulting Numbers: [82, 15]
Generated Node #0,2,1: 15:[82, 15] Operation: 11+4=15
Exploring Operation: 82-11=71, Resulting Numbers: [4, 71]
Generated Node #0,2,2: 15:[4, 71] Operation: 82-11=71
Moving to Node #0,2,2
Current State: 15:[4, 71], Operations: ['26-22=4', '82-11=71']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 4*71=284, Resulting Numbers: [284]
284,15 unequal: No Solution
Exploring Operation: 4+71=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[11, 78], Operations: ['26-22=4', '82-4=78']
Exploring Operation: 11*78=858, Resulting Numbers: [858]
858,15 unequal: No Solution
Exploring Operation: 11+78=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[82, 15], Operations: ['26-22=4', '11+4=15']
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,15 unequal: No Solution
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
41,
89,
74,
35
] | 87 | [
"89-41=48",
"74-35=39",
"48+39=87"
] | Current State: 87:[41, 89, 74, 35], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [74, 35, 48]
Generated Node #2: [74, 35, 48] from Operation: 89-41=48
Current State: 87:[74, 35, 48], Operations: ['89-41=48']
Exploring Operation: 74-35=39, Resulting Numbers: [48, 39]
Generated Node #3: [48, 39] from Operation: 74-35=39
Current State: 87:[48, 39], Operations: ['89-41=48', '74-35=39']
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[41, 89, 74, 35], Operations: []
Exploring Operation: 41+35=76, Resulting Numbers: [89, 74, 76]
Generated Node #0,0: 87:[89, 74, 76] Operation: 41+35=76
Exploring Operation: 41-35=6, Resulting Numbers: [89, 74, 6]
Generated Node #0,1: 87:[89, 74, 6] Operation: 41-35=6
Exploring Operation: 74-35=39, Resulting Numbers: [41, 89, 39]
Generated Node #0,2: 87:[41, 89, 39] Operation: 74-35=39
Exploring Operation: 74-41=33, Resulting Numbers: [89, 35, 33]
Generated Node #0,3: 87:[89, 35, 33] Operation: 74-41=33
Moving to Node #0,3
Current State: 87:[89, 35, 33], Operations: ['74-41=33']
Exploring Operation: 89-33=56, Resulting Numbers: [35, 56]
Generated Node #0,3,0: 87:[35, 56] Operation: 89-33=56
Exploring Operation: 35+33=68, Resulting Numbers: [89, 68]
Generated Node #0,3,1: 87:[89, 68] Operation: 35+33=68
Exploring Operation: 35-33=2, Resulting Numbers: [89, 2]
Generated Node #0,3,2: 87:[89, 2] Operation: 35-33=2
Exploring Operation: 89-35=54, Resulting Numbers: [33, 54]
Generated Node #0,3,3: 87:[33, 54] Operation: 89-35=54
Moving to Node #0,1
Current State: 87:[89, 74, 6], Operations: ['41-35=6']
Exploring Operation: 89-6=83, Resulting Numbers: [74, 83]
Generated Node #0,1,0: 87:[74, 83] Operation: 89-6=83
Exploring Operation: 89+6=95, Resulting Numbers: [74, 95]
Generated Node #0,1,1: 87:[74, 95] Operation: 89+6=95
Exploring Operation: 74+6=80, Resulting Numbers: [89, 80]
Generated Node #0,1,2: 87:[89, 80] Operation: 74+6=80
Exploring Operation: 89-74=15, Resulting Numbers: [6, 15]
Generated Node #0,1,3: 87:[6, 15] Operation: 89-74=15
Moving to Node #0,2
Current State: 87:[41, 89, 39], Operations: ['74-35=39']
Exploring Operation: 41-39=2, Resulting Numbers: [89, 2]
Generated Node #0,2,0: 87:[89, 2] Operation: 41-39=2
Exploring Operation: 41+39=80, Resulting Numbers: [89, 80]
Generated Node #0,2,1: 87:[89, 80] Operation: 41+39=80
Exploring Operation: 89-41=48, Resulting Numbers: [39, 48]
Generated Node #0,2,2: 87:[39, 48] Operation: 89-41=48
Exploring Operation: 89-39=50, Resulting Numbers: [41, 50]
Generated Node #0,2,3: 87:[41, 50] Operation: 89-39=50
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[89, 2], Operations: ['74-35=39', '41-39=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[41, 89, 74, 35], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [41, 89, 39]
Generated Node #0,2: 87:[41, 89, 39] Operation: 74-35=39
Moving to Node #0,2
Current State: 87:[41, 89, 39], Operations: ['74-35=39']
Exploring Operation: 41-39=2, Resulting Numbers: [89, 2]
Generated Node #0,2,0: 87:[89, 2] Operation: 41-39=2
Moving to Node #0,2,0
Current State: 87:[89, 2], Operations: ['74-35=39', '41-39=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
78,
72,
34,
45
] | 93 | [
"72*45=3240",
"3240-78=3162",
"3162/34=93"
] | Current State: 93:[78, 72, 34, 45], Operations: []
Exploring Operation: 72*45=3240, Resulting Numbers: [78, 34, 3240]
Generated Node #2: [78, 34, 3240] from Operation: 72*45=3240
Current State: 93:[78, 34, 3240], Operations: ['72*45=3240']
Exploring Operation: 3240-78=3162, Resulting Numbers: [34, 3162]
Generated Node #3: [34, 3162] from Operation: 3240-78=3162
Current State: 93:[34, 3162], Operations: ['72*45=3240', '3240-78=3162']
Exploring Operation: 3162/34=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[78, 72, 34, 45], Operations: []
Exploring Operation: 72-34=38, Resulting Numbers: [78, 45, 38]
Generated Node #0,0: 93:[78, 45, 38] Operation: 72-34=38
Exploring Operation: 78-72=6, Resulting Numbers: [34, 45, 6]
Generated Node #0,1: 93:[34, 45, 6] Operation: 78-72=6
Exploring Operation: 72+34=106, Resulting Numbers: [78, 45, 106]
Generated Node #0,2: 93:[78, 45, 106] Operation: 72+34=106
Exploring Operation: 72-45=27, Resulting Numbers: [78, 34, 27]
Generated Node #0,3: 93:[78, 34, 27] Operation: 72-45=27
Exploring Operation: 78-45=33, Resulting Numbers: [72, 34, 33]
Generated Node #0,4: 93:[72, 34, 33] Operation: 78-45=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[34, 45, 6], Operations: ['78-72=6']
Exploring Operation: 34+45=79, Resulting Numbers: [6, 79]
Generated Node #0,1,0: 93:[6, 79] Operation: 34+45=79
Exploring Operation: 34+6=40, Resulting Numbers: [45, 40]
Generated Node #0,1,1: 93:[45, 40] Operation: 34+6=40
Exploring Operation: 34-6=28, Resulting Numbers: [45, 28]
Generated Node #0,1,2: 93:[45, 28] Operation: 34-6=28
Exploring Operation: 45-34=11, Resulting Numbers: [6, 11]
Generated Node #0,1,3: 93:[6, 11] Operation: 45-34=11
Exploring Operation: 45-6=39, Resulting Numbers: [34, 39]
Generated Node #0,1,4: 93:[34, 39] Operation: 45-6=39
Moving to Node #0,1,3
Current State: 93:[6, 11], Operations: ['78-72=6', '45-34=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Moving to Node #0,1,4
Current State: 93:[34, 39], Operations: ['78-72=6', '45-6=39']
Exploring Operation: 34*39=1326, Resulting Numbers: [1326]
1326,93 unequal: No Solution
Exploring Operation: 34+39=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[6, 79], Operations: ['78-72=6', '34+45=79']
Exploring Operation: 6+79=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 6*79=474, Resulting Numbers: [474]
474,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[45, 28], Operations: ['78-72=6', '34-6=28']
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 45*28=1260, Resulting Numbers: [1260]
1260,93 unequal: No Solution
Exploring Operation: 45+28=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[45, 40], Operations: ['78-72=6', '34+6=40']
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,93 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[78, 34, 27], Operations: ['72-45=27']
Exploring Operation: 34-27=7, Resulting Numbers: [78, 7]
Generated Node #0,3,0: 93:[78, 7] Operation: 34-27=7
Exploring Operation: 78-34=44, Resulting Numbers: [27, 44]
Generated Node #0,3,1: 93:[27, 44] Operation: 78-34=44
Exploring Operation: 78-27=51, Resulting Numbers: [34, 51]
Generated Node #0,3,2: 93:[34, 51] Operation: 78-27=51
Exploring Operation: 78+34=112, Resulting Numbers: [27, 112]
Generated Node #0,3,3: 93:[27, 112] Operation: 78+34=112
Exploring Operation: 78+27=105, Resulting Numbers: [34, 105]
Generated Node #0,3,4: 93:[34, 105] Operation: 78+27=105
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 93:[34, 105], Operations: ['72-45=27', '78+27=105']
Exploring Operation: 105-34=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 34*105=3570, Resulting Numbers: [3570]
3570,93 unequal: No Solution
Exploring Operation: 34+105=139, Resulting Numbers: [139]
139,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 93:[27, 44], Operations: ['72-45=27', '78-34=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 27*44=1188, Resulting Numbers: [1188]
1188,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 93:[78, 7], Operations: ['72-45=27', '34-27=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 78*7=546, Resulting Numbers: [546]
546,93 unequal: No Solution
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 93:[34, 51], Operations: ['72-45=27', '78-27=51']
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 34+51=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 34*51=1734, Resulting Numbers: [1734]
1734,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 93:[27, 112], Operations: ['72-45=27', '78+34=112']
Exploring Operation: 27+112=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 112-27=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 27*112=3024, Resulting Numbers: [3024]
3024,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 93:[72, 34, 33], Operations: ['78-45=33']
Exploring Operation: 72+33=105, Resulting Numbers: [34, 105]
Generated Node #0,4,0: 93:[34, 105] Operation: 72+33=105
Exploring Operation: 72-34=38, Resulting Numbers: [33, 38]
Generated Node #0,4,1: 93:[33, 38] Operation: 72-34=38
Exploring Operation: 72-33=39, Resulting Numbers: [34, 39]
Generated Node #0,4,2: 93:[34, 39] Operation: 72-33=39
Exploring Operation: 72+34=106, Resulting Numbers: [33, 106]
Generated Node #0,4,3: 93:[33, 106] Operation: 72+34=106
Exploring Operation: 34-33=1, Resulting Numbers: [72, 1]
Generated Node #0,4,4: 93:[72, 1] Operation: 34-33=1
Moving to Node #0,4,1
Current State: 93:[33, 38], Operations: ['78-45=33', '72-34=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 33*38=1254, Resulting Numbers: [1254]
1254,93 unequal: No Solution
Moving to Node #0,4,2
Current State: 93:[34, 39], Operations: ['78-45=33', '72-33=39']
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 34+39=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 34*39=1326, Resulting Numbers: [1326]
1326,93 unequal: No Solution
Moving to Node #0,4,0
Current State: 93:[34, 105], Operations: ['78-45=33', '72+33=105']
Exploring Operation: 34*105=3570, Resulting Numbers: [3570]
3570,93 unequal: No Solution
Exploring Operation: 105-34=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 34+105=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Moving to Node #0,4,3
Current State: 93:[33, 106], Operations: ['78-45=33', '72+34=106']
Exploring Operation: 33+106=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 106-33=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 33*106=3498, Resulting Numbers: [3498]
3498,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[72, 1], Operations: ['78-45=33', '34-33=1']
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[78, 45, 38], Operations: ['72-34=38']
Exploring Operation: 45+38=83, Resulting Numbers: [78, 83]
Generated Node #0,0,0: 93:[78, 83] Operation: 45+38=83
Exploring Operation: 78-45=33, Resulting Numbers: [38, 33]
Generated Node #0,0,1: 93:[38, 33] Operation: 78-45=33
Exploring Operation: 78-38=40, Resulting Numbers: [45, 40]
Generated Node #0,0,2: 93:[45, 40] Operation: 78-38=40
Exploring Operation: 78+45=123, Resulting Numbers: [38, 123]
Generated Node #0,0,3: 93:[38, 123] Operation: 78+45=123
Exploring Operation: 45-38=7, Resulting Numbers: [78, 7]
Generated Node #0,0,4: 93:[78, 7] Operation: 45-38=7
Moving to Node #0,0,1
Current State: 93:[38, 33], Operations: ['72-34=38', '78-45=33']
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 38*33=1254, Resulting Numbers: [1254]
1254,93 unequal: No Solution
Moving to Node #0,0,4
Current State: 93:[78, 7], Operations: ['72-34=38', '45-38=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 78*7=546, Resulting Numbers: [546]
546,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[45, 40], Operations: ['72-34=38', '78-38=40']
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,93 unequal: No Solution
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[78, 83], Operations: ['72-34=38', '45+38=83']
Exploring Operation: 83-78=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 78*83=6474, Resulting Numbers: [6474]
6474,93 unequal: No Solution
Exploring Operation: 78+83=161, Resulting Numbers: [161]
161,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[38, 123], Operations: ['72-34=38', '78+45=123']
Exploring Operation: 38+123=161, Resulting Numbers: [161]
161,93 unequal: No Solution
Exploring Operation: 38*123=4674, Resulting Numbers: [4674]
4674,93 unequal: No Solution
Exploring Operation: 123-38=85, Resulting Numbers: [85]
85,93 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 #0,2
Current State: 93:[78, 45, 106], Operations: ['72+34=106']
Exploring Operation: 78-45=33, Resulting Numbers: [106, 33]
Generated Node #0,2,0: 93:[106, 33] Operation: 78-45=33
Exploring Operation: 106-45=61, Resulting Numbers: [78, 61]
Generated Node #0,2,1: 93:[78, 61] Operation: 106-45=61
Exploring Operation: 78+45=123, Resulting Numbers: [106, 123]
Generated Node #0,2,2: 93:[106, 123] Operation: 78+45=123
Exploring Operation: 106-78=28, Resulting Numbers: [45, 28]
Generated Node #0,2,3: 93:[45, 28] Operation: 106-78=28
Exploring Operation: 45+106=151, Resulting Numbers: [78, 151]
Generated Node #0,2,4: 93:[78, 151] Operation: 45+106=151
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 93:[106, 33], Operations: ['72+34=106', '78-45=33']
Exploring Operation: 106-33=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 106+33=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 106*33=3498, Resulting Numbers: [3498]
3498,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 93:[45, 28], Operations: ['72+34=106', '106-78=28']
Exploring Operation: 45+28=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 45*28=1260, Resulting Numbers: [1260]
1260,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 93:[106, 123], Operations: ['72+34=106', '78+45=123']
Exploring Operation: 106*123=13038, Resulting Numbers: [13038]
13038,93 unequal: No Solution
Exploring Operation: 106+123=229, Resulting Numbers: [229]
229,93 unequal: No Solution
Exploring Operation: 123-106=17, Resulting Numbers: [17]
17,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[78, 61], Operations: ['72+34=106', '106-45=61']
Exploring Operation: 78*61=4758, Resulting Numbers: [4758]
4758,93 unequal: No Solution
Exploring Operation: 78-61=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 78+61=139, Resulting Numbers: [139]
139,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 93:[78, 151], Operations: ['72+34=106', '45+106=151']
Exploring Operation: 78*151=11778, Resulting Numbers: [11778]
11778,93 unequal: No Solution
Exploring Operation: 78+151=229, Resulting Numbers: [229]
229,93 unequal: No Solution
Exploring Operation: 151-78=73, Resulting Numbers: [73]
73,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
38,
20,
16,
6
] | 40 | [
"38-20=18",
"16+6=22",
"18+22=40"
] | Current State: 40:[38, 20, 16, 6], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [16, 6, 18]
Generated Node #2: [16, 6, 18] from Operation: 38-20=18
Current State: 40:[16, 6, 18], Operations: ['38-20=18']
Exploring Operation: 16+6=22, Resulting Numbers: [18, 22]
Generated Node #3: [18, 22] from Operation: 16+6=22
Current State: 40:[18, 22], Operations: ['38-20=18', '16+6=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[38, 20, 16, 6], Operations: []
Exploring Operation: 16+6=22, Resulting Numbers: [38, 20, 22]
Generated Node #0,0: 40:[38, 20, 22] Operation: 16+6=22
Exploring Operation: 38-20=18, Resulting Numbers: [16, 6, 18]
Generated Node #0,1: 40:[16, 6, 18] Operation: 38-20=18
Exploring Operation: 38-16=22, Resulting Numbers: [20, 6, 22]
Generated Node #0,2: 40:[20, 6, 22] Operation: 38-16=22
Exploring Operation: 16-6=10, Resulting Numbers: [38, 20, 10]
Generated Node #0,3: 40:[38, 20, 10] Operation: 16-6=10
Exploring Operation: 20-16=4, Resulting Numbers: [38, 6, 4]
Generated Node #0,4: 40:[38, 6, 4] Operation: 20-16=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[38, 20, 10], Operations: ['16-6=10']
Exploring Operation: 38-20=18, Resulting Numbers: [10, 18]
Generated Node #0,3,0: 40:[10, 18] Operation: 38-20=18
Exploring Operation: 38-10=28, Resulting Numbers: [20, 28]
Generated Node #0,3,1: 40:[20, 28] Operation: 38-10=28
Exploring Operation: 38+10=48, Resulting Numbers: [20, 48]
Generated Node #0,3,2: 40:[20, 48] Operation: 38+10=48
Exploring Operation: 20-10=10, Resulting Numbers: [38, 10]
Generated Node #0,3,3: 40:[38, 10] Operation: 20-10=10
Exploring Operation: 20/10=2, Resulting Numbers: [38, 2]
Generated Node #0,3,4: 40:[38, 2] Operation: 20/10=2
Moving to Node #0,3,0
Current State: 40:[10, 18], Operations: ['16-6=10', '38-20=18']
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,40 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,40 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Moving to Node #0,3,4
Current State: 40:[38, 2], Operations: ['16-6=10', '20/10=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[38, 20, 16, 6], Operations: []
Exploring Operation: 16-6=10, Resulting Numbers: [38, 20, 10]
Generated Node #0,3: 40:[38, 20, 10] Operation: 16-6=10
Moving to Node #0,3
Current State: 40:[38, 20, 10], Operations: ['16-6=10']
Exploring Operation: 20/10=2, Resulting Numbers: [38, 2]
Generated Node #0,3,4: 40:[38, 2] Operation: 20/10=2
Moving to Node #0,3,4
Current State: 40:[38, 2], Operations: ['16-6=10', '20/10=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
2,
41,
56,
72
] | 61 | [
"72/2=36",
"41+56=97",
"97-36=61"
] | Current State: 61:[2, 41, 56, 72], Operations: []
Exploring Operation: 72/2=36, Resulting Numbers: [41, 56, 36]
Generated Node #2: [41, 56, 36] from Operation: 72/2=36
Current State: 61:[41, 56, 36], Operations: ['72/2=36']
Exploring Operation: 41+56=97, Resulting Numbers: [36, 97]
Generated Node #3: [36, 97] from Operation: 41+56=97
Current State: 61:[36, 97], Operations: ['72/2=36', '41+56=97']
Exploring Operation: 97-36=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[2, 41, 56, 72], Operations: []
Exploring Operation: 2*41=82, Resulting Numbers: [56, 72, 82]
Generated Node #0,0: 61:[56, 72, 82] Operation: 2*41=82
Exploring Operation: 72-2=70, Resulting Numbers: [41, 56, 70]
Generated Node #0,1: 61:[41, 56, 70] Operation: 72-2=70
Exploring Operation: 2+56=58, Resulting Numbers: [41, 72, 58]
Generated Node #0,2: 61:[41, 72, 58] Operation: 2+56=58
Exploring Operation: 2+41=43, Resulting Numbers: [56, 72, 43]
Generated Node #0,3: 61:[56, 72, 43] Operation: 2+41=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[41, 56, 70], Operations: ['72-2=70']
Exploring Operation: 70-41=29, Resulting Numbers: [56, 29]
Generated Node #0,1,0: 61:[56, 29] Operation: 70-41=29
Exploring Operation: 41+56=97, Resulting Numbers: [70, 97]
Generated Node #0,1,1: 61:[70, 97] Operation: 41+56=97
Exploring Operation: 56-41=15, Resulting Numbers: [70, 15]
Generated Node #0,1,2: 61:[70, 15] Operation: 56-41=15
Exploring Operation: 41+70=111, Resulting Numbers: [56, 111]
Generated Node #0,1,3: 61:[56, 111] Operation: 41+70=111
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[56, 29], Operations: ['72-2=70', '70-41=29']
Exploring Operation: 56+29=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 56*29=1624, Resulting Numbers: [1624]
1624,61 unequal: No Solution
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[70, 97], Operations: ['72-2=70', '41+56=97']
Exploring Operation: 70+97=167, Resulting Numbers: [167]
167,61 unequal: No Solution
Exploring Operation: 70*97=6790, Resulting Numbers: [6790]
6790,61 unequal: No Solution
Exploring Operation: 97-70=27, Resulting Numbers: [27]
27,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[70, 15], Operations: ['72-2=70', '56-41=15']
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 70*15=1050, Resulting Numbers: [1050]
1050,61 unequal: No Solution
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 61:[56, 111], Operations: ['72-2=70', '41+70=111']
Exploring Operation: 56+111=167, Resulting Numbers: [167]
167,61 unequal: No Solution
Exploring Operation: 56*111=6216, Resulting Numbers: [6216]
6216,61 unequal: No Solution
Exploring Operation: 111-56=55, Resulting Numbers: [55]
55,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[41, 72, 58], Operations: ['2+56=58']
Exploring Operation: 58-41=17, Resulting Numbers: [72, 17]
Generated Node #0,2,0: 61:[72, 17] Operation: 58-41=17
Exploring Operation: 72-41=31, Resulting Numbers: [58, 31]
Generated Node #0,2,1: 61:[58, 31] Operation: 72-41=31
Exploring Operation: 41+58=99, Resulting Numbers: [72, 99]
Generated Node #0,2,2: 61:[72, 99] Operation: 41+58=99
Exploring Operation: 41+72=113, Resulting Numbers: [58, 113]
Generated Node #0,2,3: 61:[58, 113] Operation: 41+72=113
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 61:[58, 31], Operations: ['2+56=58', '72-41=31']
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,61 unequal: No Solution
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 61:[72, 99], Operations: ['2+56=58', '41+58=99']
Exploring Operation: 72*99=7128, Resulting Numbers: [7128]
7128,61 unequal: No Solution
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 72+99=171, Resulting Numbers: [171]
171,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 61:[72, 17], Operations: ['2+56=58', '58-41=17']
Exploring Operation: 72*17=1224, Resulting Numbers: [1224]
1224,61 unequal: No Solution
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 61:[58, 113], Operations: ['2+56=58', '41+72=113']
Exploring Operation: 58*113=6554, Resulting Numbers: [6554]
6554,61 unequal: No Solution
Exploring Operation: 58+113=171, Resulting Numbers: [171]
171,61 unequal: No Solution
Exploring Operation: 113-58=55, Resulting Numbers: [55]
55,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[56, 72, 43], Operations: ['2+41=43']
Exploring Operation: 72-43=29, Resulting Numbers: [56, 29]
Generated Node #0,3,0: 61:[56, 29] Operation: 72-43=29
Exploring Operation: 56-43=13, Resulting Numbers: [72, 13]
Generated Node #0,3,1: 61:[72, 13] Operation: 56-43=13
Exploring Operation: 56+43=99, Resulting Numbers: [72, 99]
Generated Node #0,3,2: 61:[72, 99] Operation: 56+43=99
Exploring Operation: 72+43=115, Resulting Numbers: [56, 115]
Generated Node #0,3,3: 61:[56, 115] Operation: 72+43=115
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 61:[56, 29], Operations: ['2+41=43', '72-43=29']
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 56+29=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 56*29=1624, Resulting Numbers: [1624]
1624,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 61:[72, 99], Operations: ['2+41=43', '56+43=99']
Exploring Operation: 72+99=171, Resulting Numbers: [171]
171,61 unequal: No Solution
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 72*99=7128, Resulting Numbers: [7128]
7128,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 61:[72, 13], Operations: ['2+41=43', '56-43=13']
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,61 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 61:[56, 115], Operations: ['2+41=43', '72+43=115']
Exploring Operation: 115-56=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 56+115=171, Resulting Numbers: [171]
171,61 unequal: No Solution
Exploring Operation: 56*115=6440, Resulting Numbers: [6440]
6440,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[56, 72, 82], Operations: ['2*41=82']
Exploring Operation: 82-72=10, Resulting Numbers: [56, 10]
Generated Node #0,0,0: 61:[56, 10] Operation: 82-72=10
Exploring Operation: 72-56=16, Resulting Numbers: [82, 16]
Generated Node #0,0,1: 61:[82, 16] Operation: 72-56=16
Exploring Operation: 82-56=26, Resulting Numbers: [72, 26]
Generated Node #0,0,2: 61:[72, 26] Operation: 82-56=26
Exploring Operation: 56+72=128, Resulting Numbers: [82, 128]
Generated Node #0,0,3: 61:[82, 128] Operation: 56+72=128
Moving to Node #0,0,2
Current State: 61:[72, 26], Operations: ['2*41=82', '82-56=26']
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,61 unequal: No Solution
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[56, 10], Operations: ['2*41=82', '82-72=10']
Exploring Operation: 56*10=560, Resulting Numbers: [560]
560,61 unequal: No Solution
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 56+10=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[82, 16], Operations: ['2*41=82', '72-56=16']
Exploring Operation: 82*16=1312, Resulting Numbers: [1312]
1312,61 unequal: No Solution
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Exploring Operation: 82+16=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[82, 128], Operations: ['2*41=82', '56+72=128']
Exploring Operation: 128-82=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 82*128=10496, Resulting Numbers: [10496]
10496,61 unequal: No Solution
Exploring Operation: 82+128=210, Resulting Numbers: [210]
210,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
75,
27,
90,
38
] | 15 | [
"75+90=165",
"38-27=11",
"165/11=15"
] | Current State: 15:[75, 27, 90, 38], Operations: []
Exploring Operation: 75+90=165, Resulting Numbers: [27, 38, 165]
Generated Node #2: [27, 38, 165] from Operation: 75+90=165
Current State: 15:[27, 38, 165], Operations: ['75+90=165']
Exploring Operation: 38-27=11, Resulting Numbers: [165, 11]
Generated Node #3: [165, 11] from Operation: 38-27=11
Current State: 15:[165, 11], Operations: ['75+90=165', '38-27=11']
Exploring Operation: 165/11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[75, 27, 90, 38], Operations: []
Exploring Operation: 90-75=15, Resulting Numbers: [27, 38, 15]
Generated Node #0,0: 15:[27, 38, 15] Operation: 90-75=15
Moving to Node #0,0
Current State: 15:[27, 38, 15], Operations: ['90-75=15']
Exploring Operation: 38-27=11, Resulting Numbers: [15, 11]
Generated Node #0,0,0: 15:[15, 11] Operation: 38-27=11
Moving to Node #0,0,0
Current State: 15:[15, 11], Operations: ['90-75=15', '38-27=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,15 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
96,
33,
77
] | 79 | [
"96*77=7392",
"7392/66=112",
"112-33=79"
] | Current State: 79:[66, 96, 33, 77], Operations: []
Exploring Operation: 96*77=7392, Resulting Numbers: [66, 33, 7392]
Generated Node #2: [66, 33, 7392] from Operation: 96*77=7392
Current State: 79:[66, 33, 7392], Operations: ['96*77=7392']
Exploring Operation: 7392/66=112, Resulting Numbers: [33, 112]
Generated Node #3: [33, 112] from Operation: 7392/66=112
Current State: 79:[33, 112], Operations: ['96*77=7392', '7392/66=112']
Exploring Operation: 112-33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[66, 96, 33, 77], Operations: []
Exploring Operation: 96-33=63, Resulting Numbers: [66, 77, 63]
Generated Node #0,0: 79:[66, 77, 63] Operation: 96-33=63
Exploring Operation: 66-33=33, Resulting Numbers: [96, 77, 33]
Generated Node #0,1: 79:[96, 77, 33] Operation: 66-33=33
Exploring Operation: 66+33=99, Resulting Numbers: [96, 77, 99]
Generated Node #0,2: 79:[96, 77, 99] Operation: 66+33=99
Exploring Operation: 33+77=110, Resulting Numbers: [66, 96, 110]
Generated Node #0,3: 79:[66, 96, 110] Operation: 33+77=110
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[66, 77, 63], Operations: ['96-33=63']
Exploring Operation: 77+63=140, Resulting Numbers: [66, 140]
Generated Node #0,0,0: 79:[66, 140] Operation: 77+63=140
Exploring Operation: 66+63=129, Resulting Numbers: [77, 129]
Generated Node #0,0,1: 79:[77, 129] Operation: 66+63=129
Exploring Operation: 66-63=3, Resulting Numbers: [77, 3]
Generated Node #0,0,2: 79:[77, 3] Operation: 66-63=3
Exploring Operation: 77-63=14, Resulting Numbers: [66, 14]
Generated Node #0,0,3: 79:[66, 14] Operation: 77-63=14
Moving to Node #0,0,1
Current State: 79:[77, 129], Operations: ['96-33=63', '66+63=129']
Exploring Operation: 77*129=9933, Resulting Numbers: [9933]
9933,79 unequal: No Solution
Exploring Operation: 77+129=206, Resulting Numbers: [206]
206,79 unequal: No Solution
Exploring Operation: 129-77=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[66, 140], Operations: ['96-33=63', '77+63=140']
Exploring Operation: 140-66=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 66*140=9240, Resulting Numbers: [9240]
9240,79 unequal: No Solution
Exploring Operation: 66+140=206, Resulting Numbers: [206]
206,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[66, 14], Operations: ['96-33=63', '77-63=14']
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 66*14=924, Resulting Numbers: [924]
924,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[77, 3], Operations: ['96-33=63', '66-63=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[96, 77, 99], Operations: ['66+33=99']
Exploring Operation: 96-77=19, Resulting Numbers: [99, 19]
Generated Node #0,2,0: 79:[99, 19] Operation: 96-77=19
Exploring Operation: 96+77=173, Resulting Numbers: [99, 173]
Generated Node #0,2,1: 79:[99, 173] Operation: 96+77=173
Exploring Operation: 99-96=3, Resulting Numbers: [77, 3]
Generated Node #0,2,2: 79:[77, 3] Operation: 99-96=3
Exploring Operation: 99-77=22, Resulting Numbers: [96, 22]
Generated Node #0,2,3: 79:[96, 22] Operation: 99-77=22
Moving to Node #0,2,3
Current State: 79:[96, 22], Operations: ['66+33=99', '99-77=22']
Exploring Operation: 96+22=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 96*22=2112, Resulting Numbers: [2112]
2112,79 unequal: No Solution
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[77, 3], Operations: ['66+33=99', '99-96=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,79 unequal: No Solution
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[99, 19], Operations: ['66+33=99', '96-77=19']
Exploring Operation: 99+19=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Exploring Operation: 99*19=1881, Resulting Numbers: [1881]
1881,79 unequal: No Solution
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[99, 173], Operations: ['66+33=99', '96+77=173']
Exploring Operation: 99+173=272, Resulting Numbers: [272]
272,79 unequal: No Solution
Exploring Operation: 99*173=17127, Resulting Numbers: [17127]
17127,79 unequal: No Solution
Exploring Operation: 173-99=74, Resulting Numbers: [74]
74,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[66, 96, 110], Operations: ['33+77=110']
Exploring Operation: 110-96=14, Resulting Numbers: [66, 14]
Generated Node #0,3,0: 79:[66, 14] Operation: 110-96=14
Exploring Operation: 110-66=44, Resulting Numbers: [96, 44]
Generated Node #0,3,1: 79:[96, 44] Operation: 110-66=44
Exploring Operation: 96-66=30, Resulting Numbers: [110, 30]
Generated Node #0,3,2: 79:[110, 30] Operation: 96-66=30
Exploring Operation: 66+96=162, Resulting Numbers: [110, 162]
Generated Node #0,3,3: 79:[110, 162] Operation: 66+96=162
Moving to Node #0,3,1
Current State: 79:[96, 44], Operations: ['33+77=110', '110-66=44']
Exploring Operation: 96+44=140, Resulting Numbers: [140]
140,79 unequal: No Solution
Exploring Operation: 96*44=4224, Resulting Numbers: [4224]
4224,79 unequal: No Solution
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[66, 14], Operations: ['33+77=110', '110-96=14']
Exploring Operation: 66*14=924, Resulting Numbers: [924]
924,79 unequal: No Solution
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[110, 30], Operations: ['33+77=110', '96-66=30']
Exploring Operation: 110-30=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 110*30=3300, Resulting Numbers: [3300]
3300,79 unequal: No Solution
Exploring Operation: 110+30=140, Resulting Numbers: [140]
140,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[110, 162], Operations: ['33+77=110', '66+96=162']
Exploring Operation: 110+162=272, Resulting Numbers: [272]
272,79 unequal: No Solution
Exploring Operation: 110*162=17820, Resulting Numbers: [17820]
17820,79 unequal: No Solution
Exploring Operation: 162-110=52, Resulting Numbers: [52]
52,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[96, 77, 33], Operations: ['66-33=33']
Exploring Operation: 77-33=44, Resulting Numbers: [96, 44]
Generated Node #0,1,0: 79:[96, 44] Operation: 77-33=44
Exploring Operation: 96+33=129, Resulting Numbers: [77, 129]
Generated Node #0,1,1: 79:[77, 129] Operation: 96+33=129
Exploring Operation: 96-33=63, Resulting Numbers: [77, 63]
Generated Node #0,1,2: 79:[77, 63] Operation: 96-33=63
Exploring Operation: 77+33=110, Resulting Numbers: [96, 110]
Generated Node #0,1,3: 79:[96, 110] Operation: 77+33=110
Moving to Node #0,1,2
Current State: 79:[77, 63], Operations: ['66-33=33', '96-33=63']
Exploring Operation: 77+63=140, Resulting Numbers: [140]
140,79 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,79 unequal: No Solution
Exploring Operation: 77*63=4851, Resulting Numbers: [4851]
4851,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[96, 110], Operations: ['66-33=33', '77+33=110']
Exploring Operation: 96+110=206, Resulting Numbers: [206]
206,79 unequal: No Solution
Exploring Operation: 96*110=10560, Resulting Numbers: [10560]
10560,79 unequal: No Solution
Exploring Operation: 110-96=14, Resulting Numbers: [14]
14,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[77, 129], Operations: ['66-33=33', '96+33=129']
Exploring Operation: 77*129=9933, Resulting Numbers: [9933]
9933,79 unequal: No Solution
Exploring Operation: 129-77=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 77+129=206, Resulting Numbers: [206]
206,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[96, 44], Operations: ['66-33=33', '77-33=44']
Exploring Operation: 96+44=140, Resulting Numbers: [140]
140,79 unequal: No Solution
Exploring Operation: 96*44=4224, Resulting Numbers: [4224]
4224,79 unequal: No Solution
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
92,
40,
80,
5
] | 99 | [
"92+5=97",
"80/40=2",
"97+2=99"
] | Current State: 99:[92, 40, 80, 5], Operations: []
Exploring Operation: 92+5=97, Resulting Numbers: [40, 80, 97]
Generated Node #2: [40, 80, 97] from Operation: 92+5=97
Current State: 99:[40, 80, 97], Operations: ['92+5=97']
Exploring Operation: 80/40=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 80/40=2
Current State: 99:[97, 2], Operations: ['92+5=97', '80/40=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[92, 40, 80, 5], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [40, 5, 12]
Generated Node #0,0: 99:[40, 5, 12] Operation: 92-80=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[40, 5, 12], Operations: ['92-80=12']
Exploring Operation: 40/5=8, Resulting Numbers: [12, 8]
Generated Node #0,0,0: 99:[12, 8] Operation: 40/5=8
Moving to Node #0,0,0
Current State: 99:[12, 8], Operations: ['92-80=12', '40/5=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,99 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 |
[
17,
59,
90,
63
] | 50 | [
"90+63=153",
"153/17=9",
"59-9=50"
] | Current State: 50:[17, 59, 90, 63], Operations: []
Exploring Operation: 90+63=153, Resulting Numbers: [17, 59, 153]
Generated Node #2: [17, 59, 153] from Operation: 90+63=153
Current State: 50:[17, 59, 153], Operations: ['90+63=153']
Exploring Operation: 153/17=9, Resulting Numbers: [59, 9]
Generated Node #3: [59, 9] from Operation: 153/17=9
Current State: 50:[59, 9], Operations: ['90+63=153', '153/17=9']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[17, 59, 90, 63], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [17, 63, 31]
Generated Node #0,0: 50:[17, 63, 31] Operation: 90-59=31
Exploring Operation: 90-63=27, Resulting Numbers: [17, 59, 27]
Generated Node #0,1: 50:[17, 59, 27] Operation: 90-63=27
Moving to Node #0,1
Current State: 50:[17, 59, 27], Operations: ['90-63=27']
Exploring Operation: 27-17=10, Resulting Numbers: [59, 10]
Generated Node #0,1,0: 50:[59, 10] Operation: 27-17=10
Exploring Operation: 59-17=42, Resulting Numbers: [27, 42]
Generated Node #0,1,1: 50:[27, 42] Operation: 59-17=42
Moving to Node #0,0
Current State: 50:[17, 63, 31], Operations: ['90-59=31']
Exploring Operation: 63-31=32, Resulting Numbers: [17, 32]
Generated Node #0,0,0: 50:[17, 32] Operation: 63-31=32
Exploring Operation: 63-17=46, Resulting Numbers: [31, 46]
Generated Node #0,0,1: 50:[31, 46] Operation: 63-17=46
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[31, 46], Operations: ['90-59=31', '63-17=46']
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,50 unequal: No Solution
Exploring Operation: 31+46=77, Resulting Numbers: [77]
77,50 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 #0,0,0
Current State: 50:[17, 32], Operations: ['90-59=31', '63-31=32']
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,50 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: 50:[59, 10], Operations: ['90-63=27', '27-17=10']
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[27, 42], Operations: ['90-63=27', '59-17=42']
Exploring Operation: 42-27=15, Resulting Numbers: [15]
15,50 unequal: No Solution
Exploring Operation: 27+42=69, Resulting Numbers: [69]
69,50 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
80,
89,
51
] | 16 | [
"3*51=153",
"80+89=169",
"169-153=16"
] | Current State: 16:[3, 80, 89, 51], Operations: []
Exploring Operation: 3*51=153, Resulting Numbers: [80, 89, 153]
Generated Node #2: [80, 89, 153] from Operation: 3*51=153
Current State: 16:[80, 89, 153], Operations: ['3*51=153']
Exploring Operation: 80+89=169, Resulting Numbers: [153, 169]
Generated Node #3: [153, 169] from Operation: 80+89=169
Current State: 16:[153, 169], Operations: ['3*51=153', '80+89=169']
Exploring Operation: 169-153=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[3, 80, 89, 51], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [3, 51, 9]
Generated Node #0,0: 16:[3, 51, 9] Operation: 89-80=9
Exploring Operation: 80-3=77, Resulting Numbers: [89, 51, 77]
Generated Node #0,1: 16:[89, 51, 77] Operation: 80-3=77
Exploring Operation: 89-51=38, Resulting Numbers: [3, 80, 38]
Generated Node #0,2: 16:[3, 80, 38] Operation: 89-51=38
Exploring Operation: 80-51=29, Resulting Numbers: [3, 89, 29]
Generated Node #0,3: 16:[3, 89, 29] Operation: 80-51=29
Exploring Operation: 51/3=17, Resulting Numbers: [80, 89, 17]
Generated Node #0,4: 16:[80, 89, 17] Operation: 51/3=17
Moving to Node #0,0
Current State: 16:[3, 51, 9], Operations: ['89-80=9']
Exploring Operation: 51-9=42, Resulting Numbers: [3, 42]
Generated Node #0,0,0: 16:[3, 42] Operation: 51-9=42
Exploring Operation: 51-3=48, Resulting Numbers: [9, 48]
Generated Node #0,0,1: 16:[9, 48] Operation: 51-3=48
Exploring Operation: 9/3=3, Resulting Numbers: [51, 3]
Generated Node #0,0,2: 16:[51, 3] Operation: 9/3=3
Exploring Operation: 51/3=17, Resulting Numbers: [9, 17]
Generated Node #0,0,3: 16:[9, 17] Operation: 51/3=17
Exploring Operation: 9-3=6, Resulting Numbers: [51, 6]
Generated Node #0,0,4: 16:[51, 6] Operation: 9-3=6
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 16:[9, 17], Operations: ['89-80=9', '51/3=17']
Exploring Operation: 9+17=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 9*17=153, Resulting Numbers: [153]
153,16 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:[3, 42], Operations: ['89-80=9', '51-9=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,16 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,16 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:[9, 48], Operations: ['89-80=9', '51-3=48']
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,16 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[51, 3], Operations: ['89-80=9', '9/3=3']
Exploring Operation: 51*3=153, Resulting Numbers: [153]
153,16 unequal: No Solution
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,16 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,16 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:[51, 6], Operations: ['89-80=9', '9-3=6']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,16 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:[3, 89, 29], Operations: ['80-51=29']
Exploring Operation: 3+29=32, Resulting Numbers: [89, 32]
Generated Node #0,3,0: 16:[89, 32] Operation: 3+29=32
Exploring Operation: 29-3=26, Resulting Numbers: [89, 26]
Generated Node #0,3,1: 16:[89, 26] Operation: 29-3=26
Exploring Operation: 89-3=86, Resulting Numbers: [29, 86]
Generated Node #0,3,2: 16:[29, 86] Operation: 89-3=86
Exploring Operation: 3+89=92, Resulting Numbers: [29, 92]
Generated Node #0,3,3: 16:[29, 92] Operation: 3+89=92
Exploring Operation: 89-29=60, Resulting Numbers: [3, 60]
Generated Node #0,3,4: 16:[3, 60] Operation: 89-29=60
Moving to Node #0,2
Current State: 16:[3, 80, 38], Operations: ['89-51=38']
Exploring Operation: 80-3=77, Resulting Numbers: [38, 77]
Generated Node #0,2,0: 16:[38, 77] Operation: 80-3=77
Exploring Operation: 3+38=41, Resulting Numbers: [80, 41]
Generated Node #0,2,1: 16:[80, 41] Operation: 3+38=41
Exploring Operation: 3+80=83, Resulting Numbers: [38, 83]
Generated Node #0,2,2: 16:[38, 83] Operation: 3+80=83
Exploring Operation: 80-38=42, Resulting Numbers: [3, 42]
Generated Node #0,2,3: 16:[3, 42] Operation: 80-38=42
Exploring Operation: 38-3=35, Resulting Numbers: [80, 35]
Generated Node #0,2,4: 16:[80, 35] Operation: 38-3=35
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 16:[3, 42], Operations: ['89-51=38', '80-38=42']
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[38, 77], Operations: ['89-51=38', '80-3=77']
Exploring Operation: 38*77=2926, Resulting Numbers: [2926]
2926,16 unequal: No Solution
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 38+77=115, Resulting Numbers: [115]
115,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 16:[80, 35], Operations: ['89-51=38', '38-3=35']
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 80+35=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 80*35=2800, Resulting Numbers: [2800]
2800,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[80, 41], Operations: ['89-51=38', '3+38=41']
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 80+41=121, Resulting Numbers: [121]
121,16 unequal: No Solution
Exploring Operation: 80*41=3280, Resulting Numbers: [3280]
3280,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[38, 83], Operations: ['89-51=38', '3+80=83']
Exploring Operation: 38*83=3154, Resulting Numbers: [3154]
3154,16 unequal: No Solution
Exploring Operation: 38+83=121, Resulting Numbers: [121]
121,16 unequal: No Solution
Exploring Operation: 83-38=45, Resulting Numbers: [45]
45,16 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:[80, 89, 17], Operations: ['51/3=17']
Exploring Operation: 80-17=63, Resulting Numbers: [89, 63]
Generated Node #0,4,0: 16:[89, 63] Operation: 80-17=63
Exploring Operation: 80+17=97, Resulting Numbers: [89, 97]
Generated Node #0,4,1: 16:[89, 97] Operation: 80+17=97
Exploring Operation: 89-80=9, Resulting Numbers: [17, 9]
Generated Node #0,4,2: 16:[17, 9] Operation: 89-80=9
Exploring Operation: 89-17=72, Resulting Numbers: [80, 72]
Generated Node #0,4,3: 16:[80, 72] Operation: 89-17=72
Exploring Operation: 80+89=169, Resulting Numbers: [17, 169]
Generated Node #0,4,4: 16:[17, 169] Operation: 80+89=169
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 16:[17, 9], Operations: ['51/3=17', '89-80=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,16 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,16 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:[89, 63], Operations: ['51/3=17', '80-17=63']
Exploring Operation: 89*63=5607, Resulting Numbers: [5607]
5607,16 unequal: No Solution
Exploring Operation: 89-63=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 89+63=152, Resulting Numbers: [152]
152,16 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:[80, 72], Operations: ['51/3=17', '89-17=72']
Exploring Operation: 80*72=5760, Resulting Numbers: [5760]
5760,16 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 80+72=152, Resulting Numbers: [152]
152,16 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 #0,4,1
Current State: 16:[89, 97], Operations: ['51/3=17', '80+17=97']
Exploring Operation: 89+97=186, Resulting Numbers: [186]
186,16 unequal: No Solution
Exploring Operation: 89*97=8633, Resulting Numbers: [8633]
8633,16 unequal: No Solution
Exploring Operation: 97-89=8, Resulting Numbers: [8]
8,16 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:[17, 169], Operations: ['51/3=17', '80+89=169']
Exploring Operation: 17*169=2873, Resulting Numbers: [2873]
2873,16 unequal: No Solution
Exploring Operation: 169-17=152, Resulting Numbers: [152]
152,16 unequal: No Solution
Exploring Operation: 17+169=186, Resulting Numbers: [186]
186,16 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: 16:[89, 51, 77], Operations: ['80-3=77']
Exploring Operation: 89-51=38, Resulting Numbers: [77, 38]
Generated Node #0,1,0: 16:[77, 38] Operation: 89-51=38
Exploring Operation: 77-51=26, Resulting Numbers: [89, 26]
Generated Node #0,1,1: 16:[89, 26] Operation: 77-51=26
Exploring Operation: 89+51=140, Resulting Numbers: [77, 140]
Generated Node #0,1,2: 16:[77, 140] Operation: 89+51=140
Exploring Operation: 89+77=166, Resulting Numbers: [51, 166]
Generated Node #0,1,3: 16:[51, 166] Operation: 89+77=166
Exploring Operation: 89-77=12, Resulting Numbers: [51, 12]
Generated Node #0,1,4: 16:[51, 12] Operation: 89-77=12
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 16:[51, 12], Operations: ['80-3=77', '89-77=12']
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,16 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 #0,1,0
Current State: 16:[77, 38], Operations: ['80-3=77', '89-51=38']
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 77*38=2926, Resulting Numbers: [2926]
2926,16 unequal: No Solution
Exploring Operation: 77+38=115, Resulting Numbers: [115]
115,16 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:[89, 26], Operations: ['80-3=77', '77-51=26']
Exploring Operation: 89+26=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 89*26=2314, Resulting Numbers: [2314]
2314,16 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:[77, 140], Operations: ['80-3=77', '89+51=140']
Exploring Operation: 140-77=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 77*140=10780, Resulting Numbers: [10780]
10780,16 unequal: No Solution
Exploring Operation: 77+140=217, Resulting Numbers: [217]
217,16 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:[51, 166], Operations: ['80-3=77', '89+77=166']
Exploring Operation: 51*166=8466, Resulting Numbers: [8466]
8466,16 unequal: No Solution
Exploring Operation: 51+166=217, Resulting Numbers: [217]
217,16 unequal: No Solution
Exploring Operation: 166-51=115, Resulting Numbers: [115]
115,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,4
Current State: 16:[3, 60], Operations: ['80-51=29', '89-29=60']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 3*60=180, Resulting Numbers: [180]
180,16 unequal: No Solution
Moving to Node #0,3,2
Current State: 16:[29, 86], Operations: ['80-51=29', '89-3=86']
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Exploring Operation: 29+86=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 29*86=2494, Resulting Numbers: [2494]
2494,16 unequal: No Solution
Moving to Node #0,3,1
Current State: 16:[89, 26], Operations: ['80-51=29', '29-3=26']
Exploring Operation: 89+26=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 89*26=2314, Resulting Numbers: [2314]
2314,16 unequal: No Solution
Moving to Node #0,3,0
Current State: 16:[89, 32], Operations: ['80-51=29', '3+29=32']
Exploring Operation: 89+32=121, Resulting Numbers: [121]
121,16 unequal: No Solution
Exploring Operation: 89-32=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Exploring Operation: 89*32=2848, Resulting Numbers: [2848]
2848,16 unequal: No Solution
Moving to Node #0,3,3
Current State: 16:[29, 92], Operations: ['80-51=29', '3+89=92']
Exploring Operation: 29+92=121, Resulting Numbers: [121]
121,16 unequal: No Solution
Exploring Operation: 92-29=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 29*92=2668, Resulting Numbers: [2668]
2668,16 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
3,
27,
55,
12
] | 22 | [
"3+27=30",
"55*12=660",
"660/30=22"
] | Current State: 22:[3, 27, 55, 12], Operations: []
Exploring Operation: 3+27=30, Resulting Numbers: [55, 12, 30]
Generated Node #2: [55, 12, 30] from Operation: 3+27=30
Current State: 22:[55, 12, 30], Operations: ['3+27=30']
Exploring Operation: 55*12=660, Resulting Numbers: [30, 660]
Generated Node #3: [30, 660] from Operation: 55*12=660
Current State: 22:[30, 660], Operations: ['3+27=30', '55*12=660']
Exploring Operation: 660/30=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[3, 27, 55, 12], Operations: []
Exploring Operation: 55-27=28, Resulting Numbers: [3, 12, 28]
Generated Node #0,0: 22:[3, 12, 28] Operation: 55-27=28
Exploring Operation: 55-12=43, Resulting Numbers: [3, 27, 43]
Generated Node #0,1: 22:[3, 27, 43] Operation: 55-12=43
Exploring Operation: 27-3=24, Resulting Numbers: [55, 12, 24]
Generated Node #0,2: 22:[55, 12, 24] Operation: 27-3=24
Moving to Node #0,0
Current State: 22:[3, 12, 28], Operations: ['55-27=28']
Exploring Operation: 12-3=9, Resulting Numbers: [28, 9]
Generated Node #0,0,0: 22:[28, 9] Operation: 12-3=9
Exploring Operation: 28-3=25, Resulting Numbers: [12, 25]
Generated Node #0,0,1: 22:[12, 25] Operation: 28-3=25
Exploring Operation: 28-12=16, Resulting Numbers: [3, 16]
Generated Node #0,0,2: 22:[3, 16] Operation: 28-12=16
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[12, 25], Operations: ['55-27=28', '28-3=25']
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,22 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,22 unequal: No Solution
Exploring Operation: 12*25=300, Resulting Numbers: [300]
300,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 22:[3, 16], Operations: ['55-27=28', '28-12=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,22 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[28, 9], Operations: ['55-27=28', '12-3=9']
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,22 unequal: No Solution
Exploring Operation: 28*9=252, Resulting Numbers: [252]
252,22 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,22 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: 22:[3, 27, 43], Operations: ['55-12=43']
Exploring Operation: 43-27=16, Resulting Numbers: [3, 16]
Generated Node #0,1,0: 22:[3, 16] Operation: 43-27=16
Exploring Operation: 27-3=24, Resulting Numbers: [43, 24]
Generated Node #0,1,1: 22:[43, 24] Operation: 27-3=24
Exploring Operation: 27/3=9, Resulting Numbers: [43, 9]
Generated Node #0,1,2: 22:[43, 9] Operation: 27/3=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[3, 16], Operations: ['55-12=43', '43-27=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,22 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,22 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[43, 24], Operations: ['55-12=43', '27-3=24']
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 22:[43, 9], Operations: ['55-12=43', '27/3=9']
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,22 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,22 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: 22:[55, 12, 24], Operations: ['27-3=24']
Exploring Operation: 55-24=31, Resulting Numbers: [12, 31]
Generated Node #0,2,0: 22:[12, 31] Operation: 55-24=31
Exploring Operation: 55-12=43, Resulting Numbers: [24, 43]
Generated Node #0,2,1: 22:[24, 43] Operation: 55-12=43
Exploring Operation: 24/12=2, Resulting Numbers: [55, 2]
Generated Node #0,2,2: 22:[55, 2] Operation: 24/12=2
Moving to Node #0,2,0
Current State: 22:[12, 31], Operations: ['27-3=24', '55-24=31']
Exploring Operation: 12*31=372, Resulting Numbers: [372]
372,22 unequal: No Solution
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 12+31=43, Resulting Numbers: [43]
43,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[24, 43], Operations: ['27-3=24', '55-12=43']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 24*43=1032, Resulting Numbers: [1032]
1032,22 unequal: No Solution
Exploring Operation: 24+43=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[55, 2], Operations: ['27-3=24', '24/12=2']
Exploring Operation: 55*2=110, Resulting Numbers: [110]
110,22 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 55+2=57, Resulting Numbers: [57]
57,22 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
80,
19,
3,
22
] | 33 | [
"80+19=99",
"3*22=66",
"99-66=33"
] | Current State: 33:[80, 19, 3, 22], Operations: []
Exploring Operation: 80+19=99, Resulting Numbers: [3, 22, 99]
Generated Node #2: [3, 22, 99] from Operation: 80+19=99
Current State: 33:[3, 22, 99], Operations: ['80+19=99']
Exploring Operation: 3*22=66, Resulting Numbers: [99, 66]
Generated Node #3: [99, 66] from Operation: 3*22=66
Current State: 33:[99, 66], Operations: ['80+19=99', '3*22=66']
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[80, 19, 3, 22], Operations: []
Exploring Operation: 80-19=61, Resulting Numbers: [3, 22, 61]
Generated Node #0,0: 33:[3, 22, 61] Operation: 80-19=61
Exploring Operation: 80-22=58, Resulting Numbers: [19, 3, 58]
Generated Node #0,1: 33:[19, 3, 58] Operation: 80-22=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[19, 3, 58], Operations: ['80-22=58']
Exploring Operation: 19-3=16, Resulting Numbers: [58, 16]
Generated Node #0,1,0: 33:[58, 16] Operation: 19-3=16
Exploring Operation: 58-19=39, Resulting Numbers: [3, 39]
Generated Node #0,1,1: 33:[3, 39] Operation: 58-19=39
Moving to Node #0,1,1
Current State: 33:[3, 39], Operations: ['80-22=58', '58-19=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[58, 16], Operations: ['80-22=58', '19-3=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,33 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,33 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 #0,0
Current State: 33:[3, 22, 61], Operations: ['80-19=61']
Exploring Operation: 61-22=39, Resulting Numbers: [3, 39]
Generated Node #0,0,0: 33:[3, 39] Operation: 61-22=39
Exploring Operation: 3+22=25, Resulting Numbers: [61, 25]
Generated Node #0,0,1: 33:[61, 25] Operation: 3+22=25
Moving to Node #0,0,0
Current State: 33:[3, 39], Operations: ['80-19=61', '61-22=39']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[61, 25], Operations: ['80-19=61', '3+22=25']
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
99,
67,
5,
49
] | 85 | [
"99-67=32",
"49-32=17",
"5*17=85"
] | Current State: 85:[99, 67, 5, 49], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [5, 49, 32]
Generated Node #2: [5, 49, 32] from Operation: 99-67=32
Current State: 85:[5, 49, 32], Operations: ['99-67=32']
Exploring Operation: 49-32=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 49-32=17
Current State: 85:[5, 17], Operations: ['99-67=32', '49-32=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[99, 67, 5, 49], Operations: []
Exploring Operation: 67-49=18, Resulting Numbers: [99, 5, 18]
Generated Node #0,0: 85:[99, 5, 18] Operation: 67-49=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[99, 5, 18], Operations: ['67-49=18']
Exploring Operation: 99-18=81, Resulting Numbers: [5, 81]
Generated Node #0,0,0: 85:[5, 81] Operation: 99-18=81
Moving to Node #0,0,0
Current State: 85:[5, 81], Operations: ['67-49=18', '99-18=81']
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
67,
64,
31,
9
] | 19 | [
"67-64=3",
"31-9=22",
"22-3=19"
] | Current State: 19:[67, 64, 31, 9], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [31, 9, 3]
Generated Node #2: [31, 9, 3] from Operation: 67-64=3
Current State: 19:[31, 9, 3], Operations: ['67-64=3']
Exploring Operation: 31-9=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 31-9=22
Current State: 19:[3, 22], Operations: ['67-64=3', '31-9=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[67, 64, 31, 9], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [31, 9, 3]
Generated Node #0,0: 19:[31, 9, 3] Operation: 67-64=3
Exploring Operation: 67-9=58, Resulting Numbers: [64, 31, 58]
Generated Node #0,1: 19:[64, 31, 58] Operation: 67-9=58
Exploring Operation: 64-9=55, Resulting Numbers: [67, 31, 55]
Generated Node #0,2: 19:[67, 31, 55] Operation: 64-9=55
Exploring Operation: 67-31=36, Resulting Numbers: [64, 9, 36]
Generated Node #0,3: 19:[64, 9, 36] Operation: 67-31=36
Exploring Operation: 64-31=33, Resulting Numbers: [67, 9, 33]
Generated Node #0,4: 19:[67, 9, 33] Operation: 64-31=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[31, 9, 3], Operations: ['67-64=3']
Exploring Operation: 31+3=34, Resulting Numbers: [9, 34]
Generated Node #0,0,0: 19:[9, 34] Operation: 31+3=34
Exploring Operation: 9*3=27, Resulting Numbers: [31, 27]
Generated Node #0,0,1: 19:[31, 27] Operation: 9*3=27
Exploring Operation: 31-3=28, Resulting Numbers: [9, 28]
Generated Node #0,0,2: 19:[9, 28] Operation: 31-3=28
Exploring Operation: 31-9=22, Resulting Numbers: [3, 22]
Generated Node #0,0,3: 19:[3, 22] Operation: 31-9=22
Exploring Operation: 9+3=12, Resulting Numbers: [31, 12]
Generated Node #0,0,4: 19:[31, 12] Operation: 9+3=12
Moving to Node #0,0,2
Current State: 19:[9, 28], Operations: ['67-64=3', '31-3=28']
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,19 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[67, 64, 31, 9], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [31, 9, 3]
Generated Node #0,0: 19:[31, 9, 3] Operation: 67-64=3
Moving to Node #0,0
Current State: 19:[31, 9, 3], Operations: ['67-64=3']
Exploring Operation: 31-3=28, Resulting Numbers: [9, 28]
Generated Node #0,0,2: 19:[9, 28] Operation: 31-3=28
Moving to Node #0,0,2
Current State: 19:[9, 28], Operations: ['67-64=3', '31-3=28']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
28,
76,
83,
29
] | 25 | [
"83-76=7",
"28/7=4",
"29-4=25"
] | Current State: 25:[28, 76, 83, 29], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [28, 29, 7]
Generated Node #2: [28, 29, 7] from Operation: 83-76=7
Current State: 25:[28, 29, 7], Operations: ['83-76=7']
Exploring Operation: 28/7=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 28/7=4
Current State: 25:[29, 4], Operations: ['83-76=7', '28/7=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[28, 76, 83, 29], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [28, 29, 7]
Generated Node #0,0: 25:[28, 29, 7] Operation: 83-76=7
Moving to Node #0,0
Current State: 25:[28, 29, 7], Operations: ['83-76=7']
Exploring Operation: 28/7=4, Resulting Numbers: [29, 4]
Generated Node #0,0,0: 25:[29, 4] Operation: 28/7=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[29, 4], Operations: ['83-76=7', '28/7=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[28, 76, 83, 29], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [28, 29, 7]
Generated Node #0,0: 25:[28, 29, 7] Operation: 83-76=7
Moving to Node #0,0
Current State: 25:[28, 29, 7], Operations: ['83-76=7']
Exploring Operation: 28/7=4, Resulting Numbers: [29, 4]
Generated Node #0,0,0: 25:[29, 4] Operation: 28/7=4
Moving to Node #0,0,0
Current State: 25:[29, 4], Operations: ['83-76=7', '28/7=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
84,
4,
86,
22
] | 86 | [
"84/4=21",
"22-21=1",
"86*1=86"
] | Current State: 86:[84, 4, 86, 22], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [86, 22, 21]
Generated Node #2: [86, 22, 21] from Operation: 84/4=21
Current State: 86:[86, 22, 21], Operations: ['84/4=21']
Exploring Operation: 22-21=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 22-21=1
Current State: 86:[86, 1], Operations: ['84/4=21', '22-21=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[84, 4, 86, 22], Operations: []
Exploring Operation: 4*22=88, Resulting Numbers: [84, 86, 88]
Generated Node #0,0: 86:[84, 86, 88] Operation: 4*22=88
Exploring Operation: 22-4=18, Resulting Numbers: [84, 86, 18]
Generated Node #0,1: 86:[84, 86, 18] Operation: 22-4=18
Moving to Node #0,0
Current State: 86:[84, 86, 88], Operations: ['4*22=88']
Exploring Operation: 86-84=2, Resulting Numbers: [88, 2]
Generated Node #0,0,0: 86:[88, 2] Operation: 86-84=2
Exploring Operation: 88-84=4, Resulting Numbers: [86, 4]
Generated Node #0,0,1: 86:[86, 4] Operation: 88-84=4
Moving to Node #0,1
Current State: 86:[84, 86, 18], Operations: ['22-4=18']
Exploring Operation: 84+18=102, Resulting Numbers: [86, 102]
Generated Node #0,1,0: 86:[86, 102] Operation: 84+18=102
Exploring Operation: 86-84=2, Resulting Numbers: [18, 2]
Generated Node #0,1,1: 86:[18, 2] Operation: 86-84=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[86, 102], Operations: ['22-4=18', '84+18=102']
Exploring Operation: 86+102=188, Resulting Numbers: [188]
188,86 unequal: No Solution
Exploring Operation: 102-86=16, Resulting Numbers: [16]
16,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[18, 2], Operations: ['22-4=18', '86-84=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,86 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,86 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: 86:[88, 2], Operations: ['4*22=88', '86-84=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[84, 4, 86, 22], Operations: []
Exploring Operation: 4*22=88, Resulting Numbers: [84, 86, 88]
Generated Node #0,0: 86:[84, 86, 88] Operation: 4*22=88
Moving to Node #0,0
Current State: 86:[84, 86, 88], Operations: ['4*22=88']
Exploring Operation: 86-84=2, Resulting Numbers: [88, 2]
Generated Node #0,0,0: 86:[88, 2] Operation: 86-84=2
Moving to Node #0,0,0
Current State: 86:[88, 2], Operations: ['4*22=88', '86-84=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
1,
33,
47,
66
] | 15 | [
"1+33=34",
"66-47=19",
"34-19=15"
] | Current State: 15:[1, 33, 47, 66], Operations: []
Exploring Operation: 1+33=34, Resulting Numbers: [47, 66, 34]
Generated Node #2: [47, 66, 34] from Operation: 1+33=34
Current State: 15:[47, 66, 34], Operations: ['1+33=34']
Exploring Operation: 66-47=19, Resulting Numbers: [34, 19]
Generated Node #3: [34, 19] from Operation: 66-47=19
Current State: 15:[34, 19], Operations: ['1+33=34', '66-47=19']
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[1, 33, 47, 66], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [1, 33, 19]
Generated Node #0,0: 15:[1, 33, 19] Operation: 66-47=19
Exploring Operation: 66/33=2, Resulting Numbers: [1, 47, 2]
Generated Node #0,1: 15:[1, 47, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [1, 47, 33]
Generated Node #0,2: 15:[1, 47, 33] Operation: 66-33=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[1, 33, 19], Operations: ['66-47=19']
Exploring Operation: 33-1=32, Resulting Numbers: [19, 32]
Generated Node #0,0,0: 15:[19, 32] Operation: 33-1=32
Exploring Operation: 33-19=14, Resulting Numbers: [1, 14]
Generated Node #0,0,1: 15:[1, 14] Operation: 33-19=14
Exploring Operation: 19-1=18, Resulting Numbers: [33, 18]
Generated Node #0,0,2: 15:[33, 18] Operation: 19-1=18
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[1, 14], Operations: ['66-47=19', '33-19=14']
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[1, 33, 47, 66], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [1, 33, 19]
Generated Node #0,0: 15:[1, 33, 19] Operation: 66-47=19
Moving to Node #0,0
Current State: 15:[1, 33, 19], Operations: ['66-47=19']
Exploring Operation: 33-19=14, Resulting Numbers: [1, 14]
Generated Node #0,0,1: 15:[1, 14] Operation: 33-19=14
Moving to Node #0,0,1
Current State: 15:[1, 14], Operations: ['66-47=19', '33-19=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
91,
52,
4,
46
] | 28 | [
"91-52=39",
"46-39=7",
"4*7=28"
] | Current State: 28:[91, 52, 4, 46], Operations: []
Exploring Operation: 91-52=39, Resulting Numbers: [4, 46, 39]
Generated Node #2: [4, 46, 39] from Operation: 91-52=39
Current State: 28:[4, 46, 39], Operations: ['91-52=39']
Exploring Operation: 46-39=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 46-39=7
Current State: 28:[4, 7], Operations: ['91-52=39', '46-39=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[91, 52, 4, 46], Operations: []
Exploring Operation: 91-52=39, Resulting Numbers: [4, 46, 39]
Generated Node #0,0: 28:[4, 46, 39] Operation: 91-52=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[4, 46, 39], Operations: ['91-52=39']
Exploring Operation: 46-39=7, Resulting Numbers: [4, 7]
Generated Node #0,0,0: 28:[4, 7] Operation: 46-39=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[4, 7], Operations: ['91-52=39', '46-39=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[91, 52, 4, 46], Operations: []
Exploring Operation: 91-52=39, Resulting Numbers: [4, 46, 39]
Generated Node #0,0: 28:[4, 46, 39] Operation: 91-52=39
Moving to Node #0,0
Current State: 28:[4, 46, 39], Operations: ['91-52=39']
Exploring Operation: 46-39=7, Resulting Numbers: [4, 7]
Generated Node #0,0,0: 28:[4, 7] Operation: 46-39=7
Moving to Node #0,0,0
Current State: 28:[4, 7], Operations: ['91-52=39', '46-39=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
26,
18,
52,
1
] | 20 | [
"52/26=2",
"18*1=18",
"2+18=20"
] | Current State: 20:[26, 18, 52, 1], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [18, 1, 2]
Generated Node #2: [18, 1, 2] from Operation: 52/26=2
Current State: 20:[18, 1, 2], Operations: ['52/26=2']
Exploring Operation: 18*1=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 18*1=18
Current State: 20:[2, 18], Operations: ['52/26=2', '18*1=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[26, 18, 52, 1], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [18, 1, 2]
Generated Node #0,0: 20:[18, 1, 2] Operation: 52/26=2
Exploring Operation: 52-26=26, Resulting Numbers: [18, 1, 26]
Generated Node #0,1: 20:[18, 1, 26] Operation: 52-26=26
Moving to Node #0,0
Current State: 20:[18, 1, 2], Operations: ['52/26=2']
Exploring Operation: 18+1=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 20:[2, 19] Operation: 18+1=19
Exploring Operation: 18+2=20, Resulting Numbers: [1, 20]
Generated Node #0,0,1: 20:[1, 20] Operation: 18+2=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[2, 19], Operations: ['52/26=2', '18+1=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[1, 20], Operations: ['52/26=2', '18+2=20']
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[26, 18, 52, 1], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [18, 1, 2]
Generated Node #0,0: 20:[18, 1, 2] Operation: 52/26=2
Moving to Node #0,0
Current State: 20:[18, 1, 2], Operations: ['52/26=2']
Exploring Operation: 18+2=20, Resulting Numbers: [1, 20]
Generated Node #0,0,1: 20:[1, 20] Operation: 18+2=20
Moving to Node #0,0,1
Current State: 20:[1, 20], Operations: ['52/26=2', '18+2=20']
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
60,
1,
9,
2
] | 77 | [
"60-1=59",
"9*2=18",
"59+18=77"
] | Current State: 77:[60, 1, 9, 2], Operations: []
Exploring Operation: 60-1=59, Resulting Numbers: [9, 2, 59]
Generated Node #2: [9, 2, 59] from Operation: 60-1=59
Current State: 77:[9, 2, 59], Operations: ['60-1=59']
Exploring Operation: 9*2=18, Resulting Numbers: [59, 18]
Generated Node #3: [59, 18] from Operation: 9*2=18
Current State: 77:[59, 18], Operations: ['60-1=59', '9*2=18']
Exploring Operation: 59+18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[60, 1, 9, 2], Operations: []
Exploring Operation: 60+9=69, Resulting Numbers: [1, 2, 69]
Generated Node #0,0: 77:[1, 2, 69] Operation: 60+9=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[1, 2, 69], Operations: ['60+9=69']
Exploring Operation: 1+2=3, Resulting Numbers: [69, 3]
Generated Node #0,0,0: 77:[69, 3] Operation: 1+2=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[69, 3], Operations: ['60+9=69', '1+2=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,77 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 |
[
80,
73,
38,
8
] | 39 | [
"80-73=7",
"38+8=46",
"46-7=39"
] | Current State: 39:[80, 73, 38, 8], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [38, 8, 7]
Generated Node #2: [38, 8, 7] from Operation: 80-73=7
Current State: 39:[38, 8, 7], Operations: ['80-73=7']
Exploring Operation: 38+8=46, Resulting Numbers: [7, 46]
Generated Node #3: [7, 46] from Operation: 38+8=46
Current State: 39:[7, 46], Operations: ['80-73=7', '38+8=46']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[80, 73, 38, 8], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [38, 8, 7]
Generated Node #0,0: 39:[38, 8, 7] Operation: 80-73=7
Exploring Operation: 80/8=10, Resulting Numbers: [73, 38, 10]
Generated Node #0,1: 39:[73, 38, 10] Operation: 80/8=10
Exploring Operation: 73-38=35, Resulting Numbers: [80, 8, 35]
Generated Node #0,2: 39:[80, 8, 35] Operation: 73-38=35
Exploring Operation: 80-38=42, Resulting Numbers: [73, 8, 42]
Generated Node #0,3: 39:[73, 8, 42] Operation: 80-38=42
Moving to Node #0,0
Current State: 39:[38, 8, 7], Operations: ['80-73=7']
Exploring Operation: 38+8=46, Resulting Numbers: [7, 46]
Generated Node #0,0,0: 39:[7, 46] Operation: 38+8=46
Exploring Operation: 8-7=1, Resulting Numbers: [38, 1]
Generated Node #0,0,1: 39:[38, 1] Operation: 8-7=1
Exploring Operation: 8+7=15, Resulting Numbers: [38, 15]
Generated Node #0,0,2: 39:[38, 15] Operation: 8+7=15
Exploring Operation: 38+7=45, Resulting Numbers: [8, 45]
Generated Node #0,0,3: 39:[8, 45] Operation: 38+7=45
Moving to Node #0,1
Current State: 39:[73, 38, 10], Operations: ['80/8=10']
Exploring Operation: 73-10=63, Resulting Numbers: [38, 63]
Generated Node #0,1,0: 39:[38, 63] Operation: 73-10=63
Exploring Operation: 38+10=48, Resulting Numbers: [73, 48]
Generated Node #0,1,1: 39:[73, 48] Operation: 38+10=48
Exploring Operation: 73+10=83, Resulting Numbers: [38, 83]
Generated Node #0,1,2: 39:[38, 83] Operation: 73+10=83
Exploring Operation: 73-38=35, Resulting Numbers: [10, 35]
Generated Node #0,1,3: 39:[10, 35] Operation: 73-38=35
Moving to Node #0,3
Current State: 39:[73, 8, 42], Operations: ['80-38=42']
Exploring Operation: 73-8=65, Resulting Numbers: [42, 65]
Generated Node #0,3,0: 39:[42, 65] Operation: 73-8=65
Exploring Operation: 42-8=34, Resulting Numbers: [73, 34]
Generated Node #0,3,1: 39:[73, 34] Operation: 42-8=34
Exploring Operation: 73-42=31, Resulting Numbers: [8, 31]
Generated Node #0,3,2: 39:[8, 31] Operation: 73-42=31
Exploring Operation: 73+8=81, Resulting Numbers: [42, 81]
Generated Node #0,3,3: 39:[42, 81] Operation: 73+8=81
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 39:[8, 31], Operations: ['80-38=42', '73-42=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[80, 73, 38, 8], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [73, 8, 42]
Generated Node #0,3: 39:[73, 8, 42] Operation: 80-38=42
Moving to Node #0,3
Current State: 39:[73, 8, 42], Operations: ['80-38=42']
Exploring Operation: 73-42=31, Resulting Numbers: [8, 31]
Generated Node #0,3,2: 39:[8, 31] Operation: 73-42=31
Moving to Node #0,3,2
Current State: 39:[8, 31], Operations: ['80-38=42', '73-42=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
5,
36,
76,
18
] | 53 | [
"5+36=41",
"76+18=94",
"94-41=53"
] | Current State: 53:[5, 36, 76, 18], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [76, 18, 41]
Generated Node #2: [76, 18, 41] from Operation: 5+36=41
Current State: 53:[76, 18, 41], Operations: ['5+36=41']
Exploring Operation: 76+18=94, Resulting Numbers: [41, 94]
Generated Node #3: [41, 94] from Operation: 76+18=94
Current State: 53:[41, 94], Operations: ['5+36=41', '76+18=94']
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[5, 36, 76, 18], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [76, 18, 41]
Generated Node #0,0: 53:[76, 18, 41] Operation: 5+36=41
Exploring Operation: 5+18=23, Resulting Numbers: [36, 76, 23]
Generated Node #0,1: 53:[36, 76, 23] Operation: 5+18=23
Exploring Operation: 76-5=71, Resulting Numbers: [36, 18, 71]
Generated Node #0,2: 53:[36, 18, 71] Operation: 76-5=71
Moving to Node #0,0
Current State: 53:[76, 18, 41], Operations: ['5+36=41']
Exploring Operation: 76+18=94, Resulting Numbers: [41, 94]
Generated Node #0,0,0: 53:[41, 94] Operation: 76+18=94
Exploring Operation: 76-18=58, Resulting Numbers: [41, 58]
Generated Node #0,0,1: 53:[41, 58] Operation: 76-18=58
Exploring Operation: 18+41=59, Resulting Numbers: [76, 59]
Generated Node #0,0,2: 53:[76, 59] Operation: 18+41=59
Moving to Node #0,1
Current State: 53:[36, 76, 23], Operations: ['5+18=23']
Exploring Operation: 76-36=40, Resulting Numbers: [23, 40]
Generated Node #0,1,0: 53:[23, 40] Operation: 76-36=40
Exploring Operation: 36+23=59, Resulting Numbers: [76, 59]
Generated Node #0,1,1: 53:[76, 59] Operation: 36+23=59
Exploring Operation: 76-23=53, Resulting Numbers: [36, 53]
Generated Node #0,1,2: 53:[36, 53] Operation: 76-23=53
Moving to Node #0,2
Current State: 53:[36, 18, 71], Operations: ['76-5=71']
Exploring Operation: 36+18=54, Resulting Numbers: [71, 54]
Generated Node #0,2,0: 53:[71, 54] Operation: 36+18=54
Exploring Operation: 36-18=18, Resulting Numbers: [71, 18]
Generated Node #0,2,1: 53:[71, 18] Operation: 36-18=18
Exploring Operation: 71-18=53, Resulting Numbers: [36, 53]
Generated Node #0,2,2: 53:[36, 53] Operation: 71-18=53
Moving to Node #0,0,1
Current State: 53:[41, 58], Operations: ['5+36=41', '76-18=58']
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 41+58=99, Resulting Numbers: [99]
99,53 unequal: No Solution
Exploring Operation: 41*58=2378, Resulting Numbers: [2378]
2378,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[36, 53], Operations: ['76-5=71', '71-18=53']
Exploring Operation: 36*53=1908, Resulting Numbers: [1908]
1908,53 unequal: No Solution
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[36, 53], Operations: ['5+18=23', '76-23=53']
Exploring Operation: 36*53=1908, Resulting Numbers: [1908]
1908,53 unequal: No Solution
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,53 unequal: No Solution
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[71, 54], Operations: ['76-5=71', '36+18=54']
Exploring Operation: 71-54=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 71*54=3834, Resulting Numbers: [3834]
3834,53 unequal: No Solution
Exploring Operation: 71+54=125, Resulting Numbers: [125]
125,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[76, 59], Operations: ['5+18=23', '36+23=59']
Exploring Operation: 76+59=135, Resulting Numbers: [135]
135,53 unequal: No Solution
Exploring Operation: 76-59=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 76*59=4484, Resulting Numbers: [4484]
4484,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[76, 59], Operations: ['5+36=41', '18+41=59']
Exploring Operation: 76+59=135, Resulting Numbers: [135]
135,53 unequal: No Solution
Exploring Operation: 76*59=4484, Resulting Numbers: [4484]
4484,53 unequal: No Solution
Exploring Operation: 76-59=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[23, 40], Operations: ['5+18=23', '76-36=40']
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 23*40=920, Resulting Numbers: [920]
920,53 unequal: No Solution
Exploring Operation: 23+40=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[41, 94], Operations: ['5+36=41', '76+18=94']
Exploring Operation: 41+94=135, Resulting Numbers: [135]
135,53 unequal: No Solution
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[5, 36, 76, 18], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [76, 18, 41]
Generated Node #0,0: 53:[76, 18, 41] Operation: 5+36=41
Moving to Node #0,0
Current State: 53:[76, 18, 41], Operations: ['5+36=41']
Exploring Operation: 76+18=94, Resulting Numbers: [41, 94]
Generated Node #0,0,0: 53:[41, 94] Operation: 76+18=94
Moving to Node #0,0,0
Current State: 53:[41, 94], Operations: ['5+36=41', '76+18=94']
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 0.966146 | hs_3 | mult_heuristic |
[
87,
6,
84,
8
] | 17 | [
"87+6=93",
"84-8=76",
"93-76=17"
] | Current State: 17:[87, 6, 84, 8], Operations: []
Exploring Operation: 87+6=93, Resulting Numbers: [84, 8, 93]
Generated Node #2: [84, 8, 93] from Operation: 87+6=93
Current State: 17:[84, 8, 93], Operations: ['87+6=93']
Exploring Operation: 84-8=76, Resulting Numbers: [93, 76]
Generated Node #3: [93, 76] from Operation: 84-8=76
Current State: 17:[93, 76], Operations: ['87+6=93', '84-8=76']
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[87, 6, 84, 8], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [6, 8, 3]
Generated Node #0,0: 17:[6, 8, 3] Operation: 87-84=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[6, 8, 3], Operations: ['87-84=3']
Exploring Operation: 6*3=18, Resulting Numbers: [8, 18]
Generated Node #0,0,0: 17:[8, 18] Operation: 6*3=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[8, 18], Operations: ['87-84=3', '6*3=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
71,
96,
72,
65
] | 32 | [
"96-71=25",
"72-65=7",
"25+7=32"
] | Current State: 32:[71, 96, 72, 65], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [72, 65, 25]
Generated Node #2: [72, 65, 25] from Operation: 96-71=25
Current State: 32:[72, 65, 25], Operations: ['96-71=25']
Exploring Operation: 72-65=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 72-65=7
Current State: 32:[25, 7], Operations: ['96-71=25', '72-65=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[71, 96, 72, 65], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [72, 65, 25]
Generated Node #0,0: 32:[72, 65, 25] Operation: 96-71=25
Moving to Node #0,0
Current State: 32:[72, 65, 25], Operations: ['96-71=25']
Exploring Operation: 72-65=7, Resulting Numbers: [25, 7]
Generated Node #0,0,0: 32:[25, 7] Operation: 72-65=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[25, 7], Operations: ['96-71=25', '72-65=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[71, 96, 72, 65], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [72, 65, 25]
Generated Node #0,0: 32:[72, 65, 25] Operation: 96-71=25
Moving to Node #0,0
Current State: 32:[72, 65, 25], Operations: ['96-71=25']
Exploring Operation: 72-65=7, Resulting Numbers: [25, 7]
Generated Node #0,0,0: 32:[25, 7] Operation: 72-65=7
Moving to Node #0,0,0
Current State: 32:[25, 7], Operations: ['96-71=25', '72-65=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
47,
45,
51,
99
] | 46 | [
"47-45=2",
"99-51=48",
"48-2=46"
] | Current State: 46:[47, 45, 51, 99], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [51, 99, 2]
Generated Node #2: [51, 99, 2] from Operation: 47-45=2
Current State: 46:[51, 99, 2], Operations: ['47-45=2']
Exploring Operation: 99-51=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 99-51=48
Current State: 46:[2, 48], Operations: ['47-45=2', '99-51=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[47, 45, 51, 99], Operations: []
Exploring Operation: 99-47=52, Resulting Numbers: [45, 51, 52]
Generated Node #0,0: 46:[45, 51, 52] Operation: 99-47=52
Exploring Operation: 99-45=54, Resulting Numbers: [47, 51, 54]
Generated Node #0,1: 46:[47, 51, 54] Operation: 99-45=54
Exploring Operation: 51-47=4, Resulting Numbers: [45, 99, 4]
Generated Node #0,2: 46:[45, 99, 4] Operation: 51-47=4
Exploring Operation: 99-51=48, Resulting Numbers: [47, 45, 48]
Generated Node #0,3: 46:[47, 45, 48] Operation: 99-51=48
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[47, 45, 48], Operations: ['99-51=48']
Exploring Operation: 48-47=1, Resulting Numbers: [45, 1]
Generated Node #0,3,0: 46:[45, 1] Operation: 48-47=1
Exploring Operation: 47-45=2, Resulting Numbers: [48, 2]
Generated Node #0,3,1: 46:[48, 2] Operation: 47-45=2
Exploring Operation: 48-45=3, Resulting Numbers: [47, 3]
Generated Node #0,3,2: 46:[47, 3] Operation: 48-45=3
Exploring Operation: 47+45=92, Resulting Numbers: [48, 92]
Generated Node #0,3,3: 46:[48, 92] Operation: 47+45=92
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 46:[45, 1], Operations: ['99-51=48', '48-47=1']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[47, 45, 51, 99], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [47, 45, 48]
Generated Node #0,3: 46:[47, 45, 48] Operation: 99-51=48
Moving to Node #0,3
Current State: 46:[47, 45, 48], Operations: ['99-51=48']
Exploring Operation: 48-47=1, Resulting Numbers: [45, 1]
Generated Node #0,3,0: 46:[45, 1] Operation: 48-47=1
Moving to Node #0,3,0
Current State: 46:[45, 1], Operations: ['99-51=48', '48-47=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
20,
23,
2,
31
] | 26 | [
"23-20=3",
"31-2=29",
"29-3=26"
] | Current State: 26:[20, 23, 2, 31], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [2, 31, 3]
Generated Node #2: [2, 31, 3] from Operation: 23-20=3
Current State: 26:[2, 31, 3], Operations: ['23-20=3']
Exploring Operation: 31-2=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 31-2=29
Current State: 26:[3, 29], Operations: ['23-20=3', '31-2=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[20, 23, 2, 31], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [2, 31, 3]
Generated Node #0,0: 26:[2, 31, 3] Operation: 23-20=3
Exploring Operation: 20+2=22, Resulting Numbers: [23, 31, 22]
Generated Node #0,1: 26:[23, 31, 22] Operation: 20+2=22
Exploring Operation: 31-23=8, Resulting Numbers: [20, 2, 8]
Generated Node #0,2: 26:[20, 2, 8] Operation: 31-23=8
Exploring Operation: 31-20=11, Resulting Numbers: [23, 2, 11]
Generated Node #0,3: 26:[23, 2, 11] Operation: 31-20=11
Exploring Operation: 20/2=10, Resulting Numbers: [23, 31, 10]
Generated Node #0,4: 26:[23, 31, 10] Operation: 20/2=10
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[23, 2, 11], Operations: ['31-20=11']
Exploring Operation: 2+11=13, Resulting Numbers: [23, 13]
Generated Node #0,3,0: 26:[23, 13] Operation: 2+11=13
Exploring Operation: 23-11=12, Resulting Numbers: [2, 12]
Generated Node #0,3,1: 26:[2, 12] Operation: 23-11=12
Exploring Operation: 23+2=25, Resulting Numbers: [11, 25]
Generated Node #0,3,2: 26:[11, 25] Operation: 23+2=25
Exploring Operation: 23-2=21, Resulting Numbers: [11, 21]
Generated Node #0,3,3: 26:[11, 21] Operation: 23-2=21
Exploring Operation: 2*11=22, Resulting Numbers: [23, 22]
Generated Node #0,3,4: 26:[23, 22] Operation: 2*11=22
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 26:[2, 12], Operations: ['31-20=11', '23-11=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 26:[23, 13], Operations: ['31-20=11', '2+11=13']
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,26 unequal: No Solution
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,26 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No 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: 26:[11, 25], Operations: ['31-20=11', '23+2=25']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,26 unequal: No Solution
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,26 unequal: No Solution
No 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: 26:[11, 21], Operations: ['31-20=11', '23-2=21']
Exploring Operation: 11*21=231, Resulting Numbers: [231]
231,26 unequal: No Solution
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 26:[23, 22], Operations: ['31-20=11', '2*11=22']
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 23*22=506, Resulting Numbers: [506]
506,26 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,26 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: 26:[2, 31, 3], Operations: ['23-20=3']
Exploring Operation: 2+31=33, Resulting Numbers: [3, 33]
Generated Node #0,0,0: 26:[3, 33] Operation: 2+31=33
Exploring Operation: 31-2=29, Resulting Numbers: [3, 29]
Generated Node #0,0,1: 26:[3, 29] Operation: 31-2=29
Exploring Operation: 31-3=28, Resulting Numbers: [2, 28]
Generated Node #0,0,2: 26:[2, 28] Operation: 31-3=28
Exploring Operation: 2+3=5, Resulting Numbers: [31, 5]
Generated Node #0,0,3: 26:[31, 5] Operation: 2+3=5
Exploring Operation: 3-2=1, Resulting Numbers: [31, 1]
Generated Node #0,0,4: 26:[31, 1] Operation: 3-2=1
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 26:[2, 28], Operations: ['23-20=3', '31-3=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[20, 23, 2, 31], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [2, 31, 3]
Generated Node #0,0: 26:[2, 31, 3] Operation: 23-20=3
Moving to Node #0,0
Current State: 26:[2, 31, 3], Operations: ['23-20=3']
Exploring Operation: 31-3=28, Resulting Numbers: [2, 28]
Generated Node #0,0,2: 26:[2, 28] Operation: 31-3=28
Moving to Node #0,0,2
Current State: 26:[2, 28], Operations: ['23-20=3', '31-3=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_5 | mult_heuristic |
[
76,
37,
85,
63
] | 80 | [
"85+63=148",
"148/37=4",
"76+4=80"
] | Current State: 80:[76, 37, 85, 63], Operations: []
Exploring Operation: 85+63=148, Resulting Numbers: [76, 37, 148]
Generated Node #2: [76, 37, 148] from Operation: 85+63=148
Current State: 80:[76, 37, 148], Operations: ['85+63=148']
Exploring Operation: 148/37=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 148/37=4
Current State: 80:[76, 4], Operations: ['85+63=148', '148/37=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[76, 37, 85, 63], Operations: []
Exploring Operation: 85-63=22, Resulting Numbers: [76, 37, 22]
Generated Node #0,0: 80:[76, 37, 22] Operation: 85-63=22
Moving to Node #0,0
Current State: 80:[76, 37, 22], Operations: ['85-63=22']
Exploring Operation: 76-37=39, Resulting Numbers: [22, 39]
Generated Node #0,0,0: 80:[22, 39] Operation: 76-37=39
Moving to Node #0,0,0
Current State: 80:[22, 39], Operations: ['85-63=22', '76-37=39']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,80 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
87,
58,
42,
25
] | 91 | [
"58+42=100",
"100/25=4",
"87+4=91"
] | Current State: 91:[87, 58, 42, 25], Operations: []
Exploring Operation: 58+42=100, Resulting Numbers: [87, 25, 100]
Generated Node #2: [87, 25, 100] from Operation: 58+42=100
Current State: 91:[87, 25, 100], Operations: ['58+42=100']
Exploring Operation: 100/25=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 100/25=4
Current State: 91:[87, 4], Operations: ['58+42=100', '100/25=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[87, 58, 42, 25], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [87, 25, 16]
Generated Node #0,0: 91:[87, 25, 16] Operation: 58-42=16
Moving to Node #0,0
Current State: 91:[87, 25, 16], Operations: ['58-42=16']
Exploring Operation: 25-16=9, Resulting Numbers: [87, 9]
Generated Node #0,0,0: 91:[87, 9] Operation: 25-16=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[87, 9], Operations: ['58-42=16', '25-16=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,91 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 |
[
82,
6,
4,
60
] | 38 | [
"82+6=88",
"88/4=22",
"60-22=38"
] | Current State: 38:[82, 6, 4, 60], Operations: []
Exploring Operation: 82+6=88, Resulting Numbers: [4, 60, 88]
Generated Node #2: [4, 60, 88] from Operation: 82+6=88
Current State: 38:[4, 60, 88], Operations: ['82+6=88']
Exploring Operation: 88/4=22, Resulting Numbers: [60, 22]
Generated Node #3: [60, 22] from Operation: 88/4=22
Current State: 38:[60, 22], Operations: ['82+6=88', '88/4=22']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[82, 6, 4, 60], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [82, 4, 10]
Generated Node #0,0: 38:[82, 4, 10] Operation: 60/6=10
Exploring Operation: 82-60=22, Resulting Numbers: [6, 4, 22]
Generated Node #0,1: 38:[6, 4, 22] Operation: 82-60=22
Exploring Operation: 60/4=15, Resulting Numbers: [82, 6, 15]
Generated Node #0,2: 38:[82, 6, 15] Operation: 60/4=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[6, 4, 22], Operations: ['82-60=22']
Exploring Operation: 22-4=18, Resulting Numbers: [6, 18]
Generated Node #0,1,0: 38:[6, 18] Operation: 22-4=18
Exploring Operation: 22-6=16, Resulting Numbers: [4, 16]
Generated Node #0,1,1: 38:[4, 16] Operation: 22-6=16
Exploring Operation: 6-4=2, Resulting Numbers: [22, 2]
Generated Node #0,1,2: 38:[22, 2] Operation: 6-4=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 38:[22, 2], Operations: ['82-60=22', '6-4=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,38 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 #0,1,0
Current State: 38:[6, 18], Operations: ['82-60=22', '22-4=18']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[4, 16], Operations: ['82-60=22', '22-6=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[82, 6, 15], Operations: ['60/4=15']
Exploring Operation: 82-6=76, Resulting Numbers: [15, 76]
Generated Node #0,2,0: 38:[15, 76] Operation: 82-6=76
Exploring Operation: 82-15=67, Resulting Numbers: [6, 67]
Generated Node #0,2,1: 38:[6, 67] Operation: 82-15=67
Exploring Operation: 6+15=21, Resulting Numbers: [82, 21]
Generated Node #0,2,2: 38:[82, 21] Operation: 6+15=21
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[6, 67], Operations: ['60/4=15', '82-15=67']
Exploring Operation: 6*67=402, Resulting Numbers: [402]
402,38 unequal: No Solution
Exploring Operation: 6+67=73, Resulting Numbers: [73]
73,38 unequal: No Solution
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[15, 76], Operations: ['60/4=15', '82-6=76']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,38 unequal: No Solution
Exploring Operation: 15*76=1140, Resulting Numbers: [1140]
1140,38 unequal: No Solution
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 38:[82, 21], Operations: ['60/4=15', '6+15=21']
Exploring Operation: 82*21=1722, Resulting Numbers: [1722]
1722,38 unequal: No Solution
Exploring Operation: 82+21=103, Resulting Numbers: [103]
103,38 unequal: No Solution
Exploring Operation: 82-21=61, Resulting Numbers: [61]
61,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[82, 4, 10], Operations: ['60/6=10']
Exploring Operation: 4*10=40, Resulting Numbers: [82, 40]
Generated Node #0,0,0: 38:[82, 40] Operation: 4*10=40
Exploring Operation: 82-10=72, Resulting Numbers: [4, 72]
Generated Node #0,0,1: 38:[4, 72] Operation: 82-10=72
Exploring Operation: 82-4=78, Resulting Numbers: [10, 78]
Generated Node #0,0,2: 38:[10, 78] Operation: 82-4=78
Moving to Node #0,0,1
Current State: 38:[4, 72], Operations: ['60/6=10', '82-10=72']
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,38 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,38 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[82, 40], Operations: ['60/6=10', '4*10=40']
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 82+40=122, Resulting Numbers: [122]
122,38 unequal: No Solution
Exploring Operation: 82*40=3280, Resulting Numbers: [3280]
3280,38 unequal: No Solution
Moving to Node #0,0,2
Current State: 38:[10, 78], Operations: ['60/6=10', '82-4=78']
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,38 unequal: No Solution
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,38 unequal: No Solution
Exploring Operation: 10*78=780, Resulting Numbers: [780]
780,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
84,
8,
2,
53
] | 27 | [
"84-53=31",
"8/2=4",
"31-4=27"
] | Current State: 27:[84, 8, 2, 53], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [8, 2, 31]
Generated Node #2: [8, 2, 31] from Operation: 84-53=31
Current State: 27:[8, 2, 31], Operations: ['84-53=31']
Exploring Operation: 8/2=4, Resulting Numbers: [31, 4]
Generated Node #3: [31, 4] from Operation: 8/2=4
Current State: 27:[31, 4], Operations: ['84-53=31', '8/2=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[84, 8, 2, 53], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [2, 53, 76]
Generated Node #0,0: 27:[2, 53, 76] Operation: 84-8=76
Exploring Operation: 53-8=45, Resulting Numbers: [84, 2, 45]
Generated Node #0,1: 27:[84, 2, 45] Operation: 53-8=45
Exploring Operation: 84-53=31, Resulting Numbers: [8, 2, 31]
Generated Node #0,2: 27:[8, 2, 31] Operation: 84-53=31
Exploring Operation: 84/2=42, Resulting Numbers: [8, 53, 42]
Generated Node #0,3: 27:[8, 53, 42] Operation: 84/2=42
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[8, 2, 31], Operations: ['84-53=31']
Exploring Operation: 8+2=10, Resulting Numbers: [31, 10]
Generated Node #0,2,0: 27:[31, 10] Operation: 8+2=10
Exploring Operation: 8/2=4, Resulting Numbers: [31, 4]
Generated Node #0,2,1: 27:[31, 4] Operation: 8/2=4
Exploring Operation: 31-2=29, Resulting Numbers: [8, 29]
Generated Node #0,2,2: 27:[8, 29] Operation: 31-2=29
Exploring Operation: 31-8=23, Resulting Numbers: [2, 23]
Generated Node #0,2,3: 27:[2, 23] Operation: 31-8=23
Moving to Node #0,2,2
Current State: 27:[8, 29], Operations: ['84-53=31', '31-2=29']
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,27 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[31, 4], Operations: ['84-53=31', '8/2=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,27 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,27 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[84, 8, 2, 53], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [8, 2, 31]
Generated Node #0,2: 27:[8, 2, 31] Operation: 84-53=31
Moving to Node #0,2
Current State: 27:[8, 2, 31], Operations: ['84-53=31']
Exploring Operation: 8/2=4, Resulting Numbers: [31, 4]
Generated Node #0,2,1: 27:[31, 4] Operation: 8/2=4
Moving to Node #0,2,1
Current State: 27:[31, 4], Operations: ['84-53=31', '8/2=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
35,
10,
48,
96
] | 93 | [
"35+10=45",
"96-48=48",
"45+48=93"
] | Current State: 93:[35, 10, 48, 96], Operations: []
Exploring Operation: 35+10=45, Resulting Numbers: [48, 96, 45]
Generated Node #2: [48, 96, 45] from Operation: 35+10=45
Current State: 93:[48, 96, 45], Operations: ['35+10=45']
Exploring Operation: 96-48=48, Resulting Numbers: [45, 48]
Generated Node #3: [45, 48] from Operation: 96-48=48
Current State: 93:[45, 48], Operations: ['35+10=45', '96-48=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[35, 10, 48, 96], Operations: []
Exploring Operation: 35-10=25, Resulting Numbers: [48, 96, 25]
Generated Node #0,0: 93:[48, 96, 25] Operation: 35-10=25
Exploring Operation: 35+48=83, Resulting Numbers: [10, 96, 83]
Generated Node #0,1: 93:[10, 96, 83] Operation: 35+48=83
Exploring Operation: 48-10=38, Resulting Numbers: [35, 96, 38]
Generated Node #0,2: 93:[35, 96, 38] Operation: 48-10=38
Exploring Operation: 48-35=13, Resulting Numbers: [10, 96, 13]
Generated Node #0,3: 93:[10, 96, 13] Operation: 48-35=13
Exploring Operation: 96/48=2, Resulting Numbers: [35, 10, 2]
Generated Node #0,4: 93:[35, 10, 2] Operation: 96/48=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 93:[35, 10, 2], Operations: ['96/48=2']
Exploring Operation: 10-2=8, Resulting Numbers: [35, 8]
Generated Node #0,4,0: 93:[35, 8] Operation: 10-2=8
Exploring Operation: 35+2=37, Resulting Numbers: [10, 37]
Generated Node #0,4,1: 93:[10, 37] Operation: 35+2=37
Exploring Operation: 35-2=33, Resulting Numbers: [10, 33]
Generated Node #0,4,2: 93:[10, 33] Operation: 35-2=33
Exploring Operation: 10/2=5, Resulting Numbers: [35, 5]
Generated Node #0,4,3: 93:[35, 5] Operation: 10/2=5
Exploring Operation: 35-10=25, Resulting Numbers: [2, 25]
Generated Node #0,4,4: 93:[2, 25] Operation: 35-10=25
Moving to Node #0,4,3
Current State: 93:[35, 5], Operations: ['96/48=2', '10/2=5']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,93 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,93 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,93 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[2, 25], Operations: ['96/48=2', '35-10=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Moving to Node #0,4,0
Current State: 93:[35, 8], Operations: ['96/48=2', '10-2=8']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,93 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Moving to Node #0,4,2
Current State: 93:[10, 33], Operations: ['96/48=2', '35-2=33']
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,93 unequal: No Solution
Moving to Node #0,4,1
Current State: 93:[10, 37], Operations: ['96/48=2', '35+2=37']
Exploring Operation: 10*37=370, Resulting Numbers: [370]
370,93 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 10+37=47, Resulting Numbers: [47]
47,93 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 #0,2
Current State: 93:[35, 96, 38], Operations: ['48-10=38']
Exploring Operation: 96-35=61, Resulting Numbers: [38, 61]
Generated Node #0,2,0: 93:[38, 61] Operation: 96-35=61
Exploring Operation: 38-35=3, Resulting Numbers: [96, 3]
Generated Node #0,2,1: 93:[96, 3] Operation: 38-35=3
Exploring Operation: 35+96=131, Resulting Numbers: [38, 131]
Generated Node #0,2,2: 93:[38, 131] Operation: 35+96=131
Exploring Operation: 35+38=73, Resulting Numbers: [96, 73]
Generated Node #0,2,3: 93:[96, 73] Operation: 35+38=73
Exploring Operation: 96-38=58, Resulting Numbers: [35, 58]
Generated Node #0,2,4: 93:[35, 58] Operation: 96-38=58
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[96, 3], Operations: ['48-10=38', '38-35=3']
Exploring Operation: 96*3=288, Resulting Numbers: [288]
288,93 unequal: No Solution
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[35, 10, 48, 96], Operations: []
Exploring Operation: 48-10=38, Resulting Numbers: [35, 96, 38]
Generated Node #0,2: 93:[35, 96, 38] Operation: 48-10=38
Moving to Node #0,2
Current State: 93:[35, 96, 38], Operations: ['48-10=38']
Exploring Operation: 38-35=3, Resulting Numbers: [96, 3]
Generated Node #0,2,1: 93:[96, 3] Operation: 38-35=3
Moving to Node #0,2,1
Current State: 93:[96, 3], Operations: ['48-10=38', '38-35=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146 | hs_5 | sum_heuristic |
[
48,
60,
6,
13
] | 81 | [
"48/6=8",
"60+13=73",
"8+73=81"
] | Current State: 81:[48, 60, 6, 13], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [60, 13, 8]
Generated Node #2: [60, 13, 8] from Operation: 48/6=8
Current State: 81:[60, 13, 8], Operations: ['48/6=8']
Exploring Operation: 60+13=73, Resulting Numbers: [8, 73]
Generated Node #3: [8, 73] from Operation: 60+13=73
Current State: 81:[8, 73], Operations: ['48/6=8', '60+13=73']
Exploring Operation: 8+73=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[48, 60, 6, 13], Operations: []
Exploring Operation: 60-48=12, Resulting Numbers: [6, 13, 12]
Generated Node #0,0: 81:[6, 13, 12] Operation: 60-48=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[6, 13, 12], Operations: ['60-48=12']
Exploring Operation: 13-6=7, Resulting Numbers: [12, 7]
Generated Node #0,0,0: 81:[12, 7] Operation: 13-6=7
Moving to Node #0,0,0
Current State: 81:[12, 7], Operations: ['60-48=12', '13-6=7']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,81 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 |
[
87,
46,
64,
11
] | 13 | [
"87-64=23",
"46/23=2",
"11+2=13"
] | Current State: 13:[87, 46, 64, 11], Operations: []
Exploring Operation: 87-64=23, Resulting Numbers: [46, 11, 23]
Generated Node #2: [46, 11, 23] from Operation: 87-64=23
Current State: 13:[46, 11, 23], Operations: ['87-64=23']
Exploring Operation: 46/23=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 46/23=2
Current State: 13:[11, 2], Operations: ['87-64=23', '46/23=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[87, 46, 64, 11], Operations: []
Exploring Operation: 87-64=23, Resulting Numbers: [46, 11, 23]
Generated Node #0,0: 13:[46, 11, 23] Operation: 87-64=23
Moving to Node #0,0
Current State: 13:[46, 11, 23], Operations: ['87-64=23']
Exploring Operation: 46-23=23, Resulting Numbers: [11, 23]
Generated Node #0,0,0: 13:[11, 23] Operation: 46-23=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[11, 23], Operations: ['87-64=23', '46-23=23']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,13 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 |
[
13,
85,
92,
5
] | 96 | [
"92-13=79",
"85/5=17",
"79+17=96"
] | Current State: 96:[13, 85, 92, 5], Operations: []
Exploring Operation: 92-13=79, Resulting Numbers: [85, 5, 79]
Generated Node #2: [85, 5, 79] from Operation: 92-13=79
Current State: 96:[85, 5, 79], Operations: ['92-13=79']
Exploring Operation: 85/5=17, Resulting Numbers: [79, 17]
Generated Node #3: [79, 17] from Operation: 85/5=17
Current State: 96:[79, 17], Operations: ['92-13=79', '85/5=17']
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[13, 85, 92, 5], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [13, 92, 17]
Generated Node #0,0: 96:[13, 92, 17] Operation: 85/5=17
Exploring Operation: 85+5=90, Resulting Numbers: [13, 92, 90]
Generated Node #0,1: 96:[13, 92, 90] Operation: 85+5=90
Exploring Operation: 13+85=98, Resulting Numbers: [92, 5, 98]
Generated Node #0,2: 96:[92, 5, 98] Operation: 13+85=98
Exploring Operation: 92-85=7, Resulting Numbers: [13, 5, 7]
Generated Node #0,3: 96:[13, 5, 7] Operation: 92-85=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 96:[13, 5, 7], Operations: ['92-85=7']
Exploring Operation: 13-5=8, Resulting Numbers: [7, 8]
Generated Node #0,3,0: 96:[7, 8] Operation: 13-5=8
Exploring Operation: 5+7=12, Resulting Numbers: [13, 12]
Generated Node #0,3,1: 96:[13, 12] Operation: 5+7=12
Exploring Operation: 13-7=6, Resulting Numbers: [5, 6]
Generated Node #0,3,2: 96:[5, 6] Operation: 13-7=6
Exploring Operation: 7-5=2, Resulting Numbers: [13, 2]
Generated Node #0,3,3: 96:[13, 2] Operation: 7-5=2
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 96:[7, 8], Operations: ['92-85=7', '13-5=8']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,96 unequal: No Solution
No 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: 96:[13, 12], Operations: ['92-85=7', '5+7=12']
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,96 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,96 unequal: No Solution
No 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: 96:[5, 6], Operations: ['92-85=7', '13-7=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,96 unequal: No Solution
No 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: 96:[13, 2], Operations: ['92-85=7', '7-5=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,96 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: 96:[13, 92, 17], Operations: ['85/5=17']
Exploring Operation: 17-13=4, Resulting Numbers: [92, 4]
Generated Node #0,0,0: 96:[92, 4] Operation: 17-13=4
Exploring Operation: 92+17=109, Resulting Numbers: [13, 109]
Generated Node #0,0,1: 96:[13, 109] Operation: 92+17=109
Exploring Operation: 13+92=105, Resulting Numbers: [17, 105]
Generated Node #0,0,2: 96:[17, 105] Operation: 13+92=105
Exploring Operation: 13+17=30, Resulting Numbers: [92, 30]
Generated Node #0,0,3: 96:[92, 30] Operation: 13+17=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[92, 4], Operations: ['85/5=17', '17-13=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,96 unequal: No Solution
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 92*4=368, Resulting Numbers: [368]
368,96 unequal: No Solution
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[13, 85, 92, 5], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [13, 92, 17]
Generated Node #0,0: 96:[13, 92, 17] Operation: 85/5=17
Moving to Node #0,0
Current State: 96:[13, 92, 17], Operations: ['85/5=17']
Exploring Operation: 17-13=4, Resulting Numbers: [92, 4]
Generated Node #0,0,0: 96:[92, 4] Operation: 17-13=4
Moving to Node #0,0,0
Current State: 96:[92, 4], Operations: ['85/5=17', '17-13=4']
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
42,
43,
46,
54
] | 15 | [
"42+43=85",
"46+54=100",
"100-85=15"
] | Current State: 15:[42, 43, 46, 54], Operations: []
Exploring Operation: 42+43=85, Resulting Numbers: [46, 54, 85]
Generated Node #2: [46, 54, 85] from Operation: 42+43=85
Current State: 15:[46, 54, 85], Operations: ['42+43=85']
Exploring Operation: 46+54=100, Resulting Numbers: [85, 100]
Generated Node #3: [85, 100] from Operation: 46+54=100
Current State: 15:[85, 100], Operations: ['42+43=85', '46+54=100']
Exploring Operation: 100-85=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[42, 43, 46, 54], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [43, 46, 12]
Generated Node #0,0: 15:[43, 46, 12] Operation: 54-42=12
Exploring Operation: 54-46=8, Resulting Numbers: [42, 43, 8]
Generated Node #0,1: 15:[42, 43, 8] Operation: 54-46=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[42, 43, 8], Operations: ['54-46=8']
Exploring Operation: 43-42=1, Resulting Numbers: [8, 1]
Generated Node #0,1,0: 15:[8, 1] Operation: 43-42=1
Exploring Operation: 42-8=34, Resulting Numbers: [43, 34]
Generated Node #0,1,1: 15:[43, 34] Operation: 42-8=34
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[8, 1], Operations: ['54-46=8', '43-42=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[43, 34], Operations: ['54-46=8', '42-8=34']
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,15 unequal: No Solution
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[43, 46, 12], Operations: ['54-42=12']
Exploring Operation: 46-43=3, Resulting Numbers: [12, 3]
Generated Node #0,0,0: 15:[12, 3] Operation: 46-43=3
Exploring Operation: 43-12=31, Resulting Numbers: [46, 31]
Generated Node #0,0,1: 15:[46, 31] Operation: 43-12=31
Moving to Node #0,0,0
Current State: 15:[12, 3], Operations: ['54-42=12', '46-43=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[42, 43, 46, 54], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [43, 46, 12]
Generated Node #0,0: 15:[43, 46, 12] Operation: 54-42=12
Moving to Node #0,0
Current State: 15:[43, 46, 12], Operations: ['54-42=12']
Exploring Operation: 46-43=3, Resulting Numbers: [12, 3]
Generated Node #0,0,0: 15:[12, 3] Operation: 46-43=3
Moving to Node #0,0,0
Current State: 15:[12, 3], Operations: ['54-42=12', '46-43=3']
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
74,
1,
27,
21
] | 67 | [
"74-1=73",
"27-21=6",
"73-6=67"
] | Current State: 67:[74, 1, 27, 21], Operations: []
Exploring Operation: 74-1=73, Resulting Numbers: [27, 21, 73]
Generated Node #2: [27, 21, 73] from Operation: 74-1=73
Current State: 67:[27, 21, 73], Operations: ['74-1=73']
Exploring Operation: 27-21=6, Resulting Numbers: [73, 6]
Generated Node #3: [73, 6] from Operation: 27-21=6
Current State: 67:[73, 6], Operations: ['74-1=73', '27-21=6']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[74, 1, 27, 21], Operations: []
Exploring Operation: 74-1=73, Resulting Numbers: [27, 21, 73]
Generated Node #0,0: 67:[27, 21, 73] Operation: 74-1=73
Moving to Node #0,0
Current State: 67:[27, 21, 73], Operations: ['74-1=73']
Exploring Operation: 27+21=48, Resulting Numbers: [73, 48]
Generated Node #0,0,0: 67:[73, 48] Operation: 27+21=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[73, 48], Operations: ['74-1=73', '27+21=48']
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,67 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 |
[
54,
96,
20,
49
] | 92 | [
"54-49=5",
"20/5=4",
"96-4=92"
] | Current State: 92:[54, 96, 20, 49], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [96, 20, 5]
Generated Node #2: [96, 20, 5] from Operation: 54-49=5
Current State: 92:[96, 20, 5], Operations: ['54-49=5']
Exploring Operation: 20/5=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 20/5=4
Current State: 92:[96, 4], Operations: ['54-49=5', '20/5=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[54, 96, 20, 49], Operations: []
Exploring Operation: 54-20=34, Resulting Numbers: [96, 49, 34]
Generated Node #0,0: 92:[96, 49, 34] Operation: 54-20=34
Exploring Operation: 54-49=5, Resulting Numbers: [96, 20, 5]
Generated Node #0,1: 92:[96, 20, 5] Operation: 54-49=5
Exploring Operation: 96-54=42, Resulting Numbers: [20, 49, 42]
Generated Node #0,2: 92:[20, 49, 42] Operation: 96-54=42
Exploring Operation: 96-49=47, Resulting Numbers: [54, 20, 47]
Generated Node #0,3: 92:[54, 20, 47] Operation: 96-49=47
Moving to Node #0,1
Current State: 92:[96, 20, 5], Operations: ['54-49=5']
Exploring Operation: 96-5=91, Resulting Numbers: [20, 91]
Generated Node #0,1,0: 92:[20, 91] Operation: 96-5=91
Exploring Operation: 20+5=25, Resulting Numbers: [96, 25]
Generated Node #0,1,1: 92:[96, 25] Operation: 20+5=25
Exploring Operation: 20/5=4, Resulting Numbers: [96, 4]
Generated Node #0,1,2: 92:[96, 4] Operation: 20/5=4
Exploring Operation: 96+5=101, Resulting Numbers: [20, 101]
Generated Node #0,1,3: 92:[20, 101] Operation: 96+5=101
Moving to Node #0,2
Current State: 92:[20, 49, 42], Operations: ['96-54=42']
Exploring Operation: 42-20=22, Resulting Numbers: [49, 22]
Generated Node #0,2,0: 92:[49, 22] Operation: 42-20=22
Exploring Operation: 49-20=29, Resulting Numbers: [42, 29]
Generated Node #0,2,1: 92:[42, 29] Operation: 49-20=29
Exploring Operation: 49+42=91, Resulting Numbers: [20, 91]
Generated Node #0,2,2: 92:[20, 91] Operation: 49+42=91
Exploring Operation: 49-42=7, Resulting Numbers: [20, 7]
Generated Node #0,2,3: 92:[20, 7] Operation: 49-42=7
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 92:[49, 22], Operations: ['96-54=42', '42-20=22']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 49*22=1078, Resulting Numbers: [1078]
1078,92 unequal: No Solution
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[20, 91], Operations: ['96-54=42', '49+42=91']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,92 unequal: No Solution
Exploring Operation: 20+91=111, Resulting Numbers: [111]
111,92 unequal: No Solution
Exploring Operation: 20*91=1820, Resulting Numbers: [1820]
1820,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 92:[20, 7], Operations: ['96-54=42', '49-42=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 92:[42, 29], Operations: ['96-54=42', '49-20=29']
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,92 unequal: No Solution
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,92 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,92 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: 92:[54, 20, 47], Operations: ['96-49=47']
Exploring Operation: 47-20=27, Resulting Numbers: [54, 27]
Generated Node #0,3,0: 92:[54, 27] Operation: 47-20=27
Exploring Operation: 54-47=7, Resulting Numbers: [20, 7]
Generated Node #0,3,1: 92:[20, 7] Operation: 54-47=7
Exploring Operation: 54-20=34, Resulting Numbers: [47, 34]
Generated Node #0,3,2: 92:[47, 34] Operation: 54-20=34
Exploring Operation: 54+47=101, Resulting Numbers: [20, 101]
Generated Node #0,3,3: 92:[20, 101] Operation: 54+47=101
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 92:[20, 7], Operations: ['96-49=47', '54-47=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 92:[54, 27], Operations: ['96-49=47', '47-20=27']
Exploring Operation: 54*27=1458, Resulting Numbers: [1458]
1458,92 unequal: No Solution
Exploring Operation: 54+27=81, Resulting Numbers: [81]
81,92 unequal: No Solution
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 92:[47, 34], Operations: ['96-49=47', '54-20=34']
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 47*34=1598, Resulting Numbers: [1598]
1598,92 unequal: No Solution
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 92:[20, 101], Operations: ['96-49=47', '54+47=101']
Exploring Operation: 101-20=81, Resulting Numbers: [81]
81,92 unequal: No Solution
Exploring Operation: 20*101=2020, Resulting Numbers: [2020]
2020,92 unequal: No Solution
Exploring Operation: 20+101=121, Resulting Numbers: [121]
121,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 92:[96, 49, 34], Operations: ['54-20=34']
Exploring Operation: 49-34=15, Resulting Numbers: [96, 15]
Generated Node #0,0,0: 92:[96, 15] Operation: 49-34=15
Exploring Operation: 49+34=83, Resulting Numbers: [96, 83]
Generated Node #0,0,1: 92:[96, 83] Operation: 49+34=83
Exploring Operation: 96-34=62, Resulting Numbers: [49, 62]
Generated Node #0,0,2: 92:[49, 62] Operation: 96-34=62
Exploring Operation: 96-49=47, Resulting Numbers: [34, 47]
Generated Node #0,0,3: 92:[34, 47] Operation: 96-49=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[96, 15], Operations: ['54-20=34', '49-34=15']
Exploring Operation: 96-15=81, Resulting Numbers: [81]
81,92 unequal: No Solution
Exploring Operation: 96+15=111, Resulting Numbers: [111]
111,92 unequal: No Solution
Exploring Operation: 96*15=1440, Resulting Numbers: [1440]
1440,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 92:[34, 47], Operations: ['54-20=34', '96-49=47']
Exploring Operation: 34+47=81, Resulting Numbers: [81]
81,92 unequal: No Solution
Exploring Operation: 34*47=1598, Resulting Numbers: [1598]
1598,92 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[96, 83], Operations: ['54-20=34', '49+34=83']
Exploring Operation: 96*83=7968, Resulting Numbers: [7968]
7968,92 unequal: No Solution
Exploring Operation: 96+83=179, Resulting Numbers: [179]
179,92 unequal: No Solution
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 92:[49, 62], Operations: ['54-20=34', '96-34=62']
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 49+62=111, Resulting Numbers: [111]
111,92 unequal: No Solution
Exploring Operation: 49*62=3038, Resulting Numbers: [3038]
3038,92 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: 92:[20, 91], Operations: ['54-49=5', '96-5=91']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,92 unequal: No Solution
Exploring Operation: 20*91=1820, Resulting Numbers: [1820]
1820,92 unequal: No Solution
Exploring Operation: 20+91=111, Resulting Numbers: [111]
111,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[96, 4], Operations: ['54-49=5', '20/5=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 96*4=384, Resulting Numbers: [384]
384,92 unequal: No Solution
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,92 unequal: No Solution
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[54, 96, 20, 49], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [96, 20, 5]
Generated Node #0,1: 92:[96, 20, 5] Operation: 54-49=5
Moving to Node #0,1
Current State: 92:[96, 20, 5], Operations: ['54-49=5']
Exploring Operation: 20/5=4, Resulting Numbers: [96, 4]
Generated Node #0,1,2: 92:[96, 4] Operation: 20/5=4
Moving to Node #0,1,2
Current State: 92:[96, 4], Operations: ['54-49=5', '20/5=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.940972 | hs_4 | mult_heuristic |
[
65,
12,
51,
96
] | 70 | [
"65+12=77",
"51+96=147",
"147-77=70"
] | Current State: 70:[65, 12, 51, 96], Operations: []
Exploring Operation: 65+12=77, Resulting Numbers: [51, 96, 77]
Generated Node #2: [51, 96, 77] from Operation: 65+12=77
Current State: 70:[51, 96, 77], Operations: ['65+12=77']
Exploring Operation: 51+96=147, Resulting Numbers: [77, 147]
Generated Node #3: [77, 147] from Operation: 51+96=147
Current State: 70:[77, 147], Operations: ['65+12=77', '51+96=147']
Exploring Operation: 147-77=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[65, 12, 51, 96], Operations: []
Exploring Operation: 96-51=45, Resulting Numbers: [65, 12, 45]
Generated Node #0,0: 70:[65, 12, 45] Operation: 96-51=45
Exploring Operation: 96-65=31, Resulting Numbers: [12, 51, 31]
Generated Node #0,1: 70:[12, 51, 31] Operation: 96-65=31
Moving to Node #0,0
Current State: 70:[65, 12, 45], Operations: ['96-51=45']
Exploring Operation: 65-45=20, Resulting Numbers: [12, 20]
Generated Node #0,0,0: 70:[12, 20] Operation: 65-45=20
Exploring Operation: 45-12=33, Resulting Numbers: [65, 33]
Generated Node #0,0,1: 70:[65, 33] Operation: 45-12=33
Moving to Node #0,1
Current State: 70:[12, 51, 31], Operations: ['96-65=31']
Exploring Operation: 51-31=20, Resulting Numbers: [12, 20]
Generated Node #0,1,0: 70:[12, 20] Operation: 51-31=20
Exploring Operation: 51-12=39, Resulting Numbers: [31, 39]
Generated Node #0,1,1: 70:[31, 39] Operation: 51-12=39
Moving to Node #0,0,1
Current State: 70:[65, 33], Operations: ['96-51=45', '45-12=33']
Exploring Operation: 65-33=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 65+33=98, Resulting Numbers: [98]
98,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[12, 20], Operations: ['96-65=31', '51-31=20']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[12, 20], Operations: ['96-51=45', '65-45=20']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[31, 39], Operations: ['96-65=31', '51-12=39']
Exploring Operation: 31+39=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[65, 12, 51, 96], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [12, 51, 31]
Generated Node #0,1: 70:[12, 51, 31] Operation: 96-65=31
Moving to Node #0,1
Current State: 70:[12, 51, 31], Operations: ['96-65=31']
Exploring Operation: 51-12=39, Resulting Numbers: [31, 39]
Generated Node #0,1,1: 70:[31, 39] Operation: 51-12=39
Moving to Node #0,1,1
Current State: 70:[31, 39], Operations: ['96-65=31', '51-12=39']
Exploring Operation: 31+39=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.985243 | hs_2 | sum_heuristic |
[
4,
73,
34,
82
] | 100 | [
"73+34=107",
"107-82=25",
"4*25=100"
] | Current State: 100:[4, 73, 34, 82], Operations: []
Exploring Operation: 73+34=107, Resulting Numbers: [4, 82, 107]
Generated Node #2: [4, 82, 107] from Operation: 73+34=107
Current State: 100:[4, 82, 107], Operations: ['73+34=107']
Exploring Operation: 107-82=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 107-82=25
Current State: 100:[4, 25], Operations: ['73+34=107', '107-82=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[4, 73, 34, 82], Operations: []
Exploring Operation: 73+34=107, Resulting Numbers: [4, 82, 107]
Generated Node #0,0: 100:[4, 82, 107] Operation: 73+34=107
Exploring Operation: 82-73=9, Resulting Numbers: [4, 34, 9]
Generated Node #0,1: 100:[4, 34, 9] Operation: 82-73=9
Moving to Node #0,1
Current State: 100:[4, 34, 9], Operations: ['82-73=9']
Exploring Operation: 34-4=30, Resulting Numbers: [9, 30]
Generated Node #0,1,0: 100:[9, 30] Operation: 34-4=30
Exploring Operation: 34-9=25, Resulting Numbers: [4, 25]
Generated Node #0,1,1: 100:[4, 25] Operation: 34-9=25
Moving to Node #0,0
Current State: 100:[4, 82, 107], Operations: ['73+34=107']
Exploring Operation: 107-82=25, Resulting Numbers: [4, 25]
Generated Node #0,0,0: 100:[4, 25] Operation: 107-82=25
Exploring Operation: 4+82=86, Resulting Numbers: [107, 86]
Generated Node #0,0,1: 100:[107, 86] Operation: 4+82=86
Moving to Node #0,1,1
Current State: 100:[4, 25], Operations: ['82-73=9', '34-9=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[4, 73, 34, 82], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [4, 34, 9]
Generated Node #0,1: 100:[4, 34, 9] Operation: 82-73=9
Moving to Node #0,1
Current State: 100:[4, 34, 9], Operations: ['82-73=9']
Exploring Operation: 34-9=25, Resulting Numbers: [4, 25]
Generated Node #0,1,1: 100:[4, 25] Operation: 34-9=25
Moving to Node #0,1,1
Current State: 100:[4, 25], Operations: ['82-73=9', '34-9=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
21,
96,
13,
55
] | 48 | [
"21*96=2016",
"55-13=42",
"2016/42=48"
] | Current State: 48:[21, 96, 13, 55], Operations: []
Exploring Operation: 21*96=2016, Resulting Numbers: [13, 55, 2016]
Generated Node #2: [13, 55, 2016] from Operation: 21*96=2016
Current State: 48:[13, 55, 2016], Operations: ['21*96=2016']
Exploring Operation: 55-13=42, Resulting Numbers: [2016, 42]
Generated Node #3: [2016, 42] from Operation: 55-13=42
Current State: 48:[2016, 42], Operations: ['21*96=2016', '55-13=42']
Exploring Operation: 2016/42=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[21, 96, 13, 55], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [21, 13, 41]
Generated Node #0,0: 48:[21, 13, 41] Operation: 96-55=41
Exploring Operation: 96-21=75, Resulting Numbers: [13, 55, 75]
Generated Node #0,1: 48:[13, 55, 75] Operation: 96-21=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[21, 13, 41], Operations: ['96-55=41']
Exploring Operation: 21-13=8, Resulting Numbers: [41, 8]
Generated Node #0,0,0: 48:[41, 8] Operation: 21-13=8
Exploring Operation: 41-21=20, Resulting Numbers: [13, 20]
Generated Node #0,0,1: 48:[13, 20] Operation: 41-21=20
Moving to Node #0,0,1
Current State: 48:[13, 20], Operations: ['96-55=41', '41-21=20']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[41, 8], Operations: ['96-55=41', '21-13=8']
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[13, 55, 75], Operations: ['96-21=75']
Exploring Operation: 75-13=62, Resulting Numbers: [55, 62]
Generated Node #0,1,0: 48:[55, 62] Operation: 75-13=62
Exploring Operation: 75-55=20, Resulting Numbers: [13, 20]
Generated Node #0,1,1: 48:[13, 20] Operation: 75-55=20
Moving to Node #0,1,1
Current State: 48:[13, 20], Operations: ['96-21=75', '75-55=20']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[55, 62], Operations: ['96-21=75', '75-13=62']
Exploring Operation: 55+62=117, Resulting Numbers: [117]
117,48 unequal: No Solution
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
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