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 |
|---|---|---|---|---|---|---|---|---|
[
18,
63,
79,
13
] | 26 | [
"18+63=81",
"81-79=2",
"13*2=26"
] | Current State: 26:[18, 63, 79, 13], Operations: []
Exploring Operation: 18+63=81, Resulting Numbers: [79, 13, 81]
Generated Node #2: [79, 13, 81] from Operation: 18+63=81
Current State: 26:[79, 13, 81], Operations: ['18+63=81']
Exploring Operation: 81-79=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 81-79=2
Current State: 26:[13, 2], Operations: ['18+63=81', '81-79=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[18, 63, 79, 13], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [18, 13, 16]
Generated Node #0,0: 26:[18, 13, 16] Operation: 79-63=16
Exploring Operation: 63-18=45, Resulting Numbers: [79, 13, 45]
Generated Node #0,1: 26:[79, 13, 45] Operation: 63-18=45
Exploring Operation: 79-18=61, Resulting Numbers: [63, 13, 61]
Generated Node #0,2: 26:[63, 13, 61] Operation: 79-18=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[18, 13, 16], Operations: ['79-63=16']
Exploring Operation: 18-13=5, Resulting Numbers: [16, 5]
Generated Node #0,0,0: 26:[16, 5] Operation: 18-13=5
Exploring Operation: 18-16=2, Resulting Numbers: [13, 2]
Generated Node #0,0,1: 26:[13, 2] Operation: 18-16=2
Exploring Operation: 16-13=3, Resulting Numbers: [18, 3]
Generated Node #0,0,2: 26:[18, 3] Operation: 16-13=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[13, 2], Operations: ['79-63=16', '18-16=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[18, 63, 79, 13], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [18, 13, 16]
Generated Node #0,0: 26:[18, 13, 16] Operation: 79-63=16
Moving to Node #0,0
Current State: 26:[18, 13, 16], Operations: ['79-63=16']
Exploring Operation: 18-16=2, Resulting Numbers: [13, 2]
Generated Node #0,0,1: 26:[13, 2] Operation: 18-16=2
Moving to Node #0,0,1
Current State: 26:[13, 2], Operations: ['79-63=16', '18-16=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 |
[
70,
72,
19,
56
] | 47 | [
"72-70=2",
"56/2=28",
"19+28=47"
] | Current State: 47:[70, 72, 19, 56], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [19, 56, 2]
Generated Node #2: [19, 56, 2] from Operation: 72-70=2
Current State: 47:[19, 56, 2], Operations: ['72-70=2']
Exploring Operation: 56/2=28, Resulting Numbers: [19, 28]
Generated Node #3: [19, 28] from Operation: 56/2=28
Current State: 47:[19, 28], Operations: ['72-70=2', '56/2=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[70, 72, 19, 56], Operations: []
Exploring Operation: 70-19=51, Resulting Numbers: [72, 56, 51]
Generated Node #0,0: 47:[72, 56, 51] Operation: 70-19=51
Moving to Node #0,0
Current State: 47:[72, 56, 51], Operations: ['70-19=51']
Exploring Operation: 72-56=16, Resulting Numbers: [51, 16]
Generated Node #0,0,0: 47:[51, 16] Operation: 72-56=16
Moving to Node #0,0,0
Current State: 47:[51, 16], Operations: ['70-19=51', '72-56=16']
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,47 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
90,
48,
79,
15
] | 44 | [
"90+48=138",
"79+15=94",
"138-94=44"
] | Current State: 44:[90, 48, 79, 15], Operations: []
Exploring Operation: 90+48=138, Resulting Numbers: [79, 15, 138]
Generated Node #2: [79, 15, 138] from Operation: 90+48=138
Current State: 44:[79, 15, 138], Operations: ['90+48=138']
Exploring Operation: 79+15=94, Resulting Numbers: [138, 94]
Generated Node #3: [138, 94] from Operation: 79+15=94
Current State: 44:[138, 94], Operations: ['90+48=138', '79+15=94']
Exploring Operation: 138-94=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[90, 48, 79, 15], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [79, 15, 42]
Generated Node #0,0: 44:[79, 15, 42] Operation: 90-48=42
Exploring Operation: 90-79=11, Resulting Numbers: [48, 15, 11]
Generated Node #0,1: 44:[48, 15, 11] Operation: 90-79=11
Moving to Node #0,1
Current State: 44:[48, 15, 11], Operations: ['90-79=11']
Exploring Operation: 15-11=4, Resulting Numbers: [48, 4]
Generated Node #0,1,0: 44:[48, 4] Operation: 15-11=4
Exploring Operation: 15+11=26, Resulting Numbers: [48, 26]
Generated Node #0,1,1: 44:[48, 26] Operation: 15+11=26
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[48, 4], Operations: ['90-79=11', '15-11=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[90, 48, 79, 15], Operations: []
Exploring Operation: 90-79=11, Resulting Numbers: [48, 15, 11]
Generated Node #0,1: 44:[48, 15, 11] Operation: 90-79=11
Moving to Node #0,1
Current State: 44:[48, 15, 11], Operations: ['90-79=11']
Exploring Operation: 15-11=4, Resulting Numbers: [48, 4]
Generated Node #0,1,0: 44:[48, 4] Operation: 15-11=4
Moving to Node #0,1,0
Current State: 44:[48, 4], Operations: ['90-79=11', '15-11=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
4,
24,
24,
81
] | 51 | [
"24/4=6",
"81-24=57",
"57-6=51"
] | Current State: 51:[4, 24, 24, 81], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [81, 6]
Generated Node #2: [81, 6] from Operation: 24/4=6
Current State: 51:[81, 6], Operations: ['24/4=6']
Exploring Operation: 81-24=57, Resulting Numbers: [6, 57]
Generated Node #3: [6, 57] from Operation: 81-24=57
Current State: 51:[6, 57], Operations: ['24/4=6', '81-24=57']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[4, 24, 24, 81], Operations: []
Exploring Operation: 81-24=57, Resulting Numbers: [4, 24, 57]
Generated Node #0,0: 51:[4, 24, 57] Operation: 81-24=57
Exploring Operation: 81-24=57, Resulting Numbers: [4, 24, 57]
Generated Node #0,1: 51:[4, 24, 57] Operation: 81-24=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[4, 24, 57], Operations: ['81-24=57']
Exploring Operation: 24/4=6, Resulting Numbers: [57, 6]
Generated Node #0,0,0: 51:[57, 6] Operation: 24/4=6
Exploring Operation: 24-4=20, Resulting Numbers: [57, 20]
Generated Node #0,0,1: 51:[57, 20] Operation: 24-4=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[57, 6], Operations: ['81-24=57', '24/4=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[4, 24, 24, 81], Operations: []
Exploring Operation: 81-24=57, Resulting Numbers: [4, 24, 57]
Generated Node #0,0: 51:[4, 24, 57] Operation: 81-24=57
Moving to Node #0,0
Current State: 51:[4, 24, 57], Operations: ['81-24=57']
Exploring Operation: 24/4=6, Resulting Numbers: [57, 6]
Generated Node #0,0,0: 51:[57, 6] Operation: 24/4=6
Moving to Node #0,0,0
Current State: 51:[57, 6], Operations: ['81-24=57', '24/4=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
4,
44,
46,
24
] | 63 | [
"44+24=68",
"68/4=17",
"46+17=63"
] | Current State: 63:[4, 44, 46, 24], Operations: []
Exploring Operation: 44+24=68, Resulting Numbers: [4, 46, 68]
Generated Node #2: [4, 46, 68] from Operation: 44+24=68
Current State: 63:[4, 46, 68], Operations: ['44+24=68']
Exploring Operation: 68/4=17, Resulting Numbers: [46, 17]
Generated Node #3: [46, 17] from Operation: 68/4=17
Current State: 63:[46, 17], Operations: ['44+24=68', '68/4=17']
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[4, 44, 46, 24], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [4, 24, 2]
Generated Node #0,0: 63:[4, 24, 2] Operation: 46-44=2
Exploring Operation: 44-24=20, Resulting Numbers: [4, 46, 20]
Generated Node #0,1: 63:[4, 46, 20] Operation: 44-24=20
Exploring Operation: 46-24=22, Resulting Numbers: [4, 44, 22]
Generated Node #0,2: 63:[4, 44, 22] Operation: 46-24=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[4, 24, 2], Operations: ['46-44=2']
Exploring Operation: 24-4=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 63:[2, 20] Operation: 24-4=20
Exploring Operation: 24/4=6, Resulting Numbers: [2, 6]
Generated Node #0,0,1: 63:[2, 6] Operation: 24/4=6
Exploring Operation: 24-2=22, Resulting Numbers: [4, 22]
Generated Node #0,0,2: 63:[4, 22] Operation: 24-2=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[2, 20], Operations: ['46-44=2', '24-4=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,63 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,63 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 #0,0,1
Current State: 63:[2, 6], Operations: ['46-44=2', '24/4=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,63 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 #0,0,2
Current State: 63:[4, 22], Operations: ['46-44=2', '24-2=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,63 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 #0,1
Current State: 63:[4, 46, 20], Operations: ['44-24=20']
Exploring Operation: 4+46=50, Resulting Numbers: [20, 50]
Generated Node #0,1,0: 63:[20, 50] Operation: 4+46=50
Exploring Operation: 46-20=26, Resulting Numbers: [4, 26]
Generated Node #0,1,1: 63:[4, 26] Operation: 46-20=26
Exploring Operation: 46+20=66, Resulting Numbers: [4, 66]
Generated Node #0,1,2: 63:[4, 66] Operation: 46+20=66
Moving to Node #0,1,2
Current State: 63:[4, 66], Operations: ['44-24=20', '46+20=66']
Exploring Operation: 4*66=264, Resulting Numbers: [264]
264,63 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[4, 26], Operations: ['44-24=20', '46-20=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[20, 50], Operations: ['44-24=20', '4+46=50']
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 20*50=1000, Resulting Numbers: [1000]
1000,63 unequal: No Solution
Exploring Operation: 20+50=70, Resulting Numbers: [70]
70,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[4, 44, 22], Operations: ['46-24=22']
Exploring Operation: 44/22=2, Resulting Numbers: [4, 2]
Generated Node #0,2,0: 63:[4, 2] Operation: 44/22=2
Exploring Operation: 44/4=11, Resulting Numbers: [22, 11]
Generated Node #0,2,1: 63:[22, 11] Operation: 44/4=11
Exploring Operation: 44-22=22, Resulting Numbers: [4, 22]
Generated Node #0,2,2: 63:[4, 22] Operation: 44-22=22
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 63:[4, 2], Operations: ['46-24=22', '44/22=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,63 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 #0,2,2
Current State: 63:[4, 22], Operations: ['46-24=22', '44-22=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,63 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 #0,2,1
Current State: 63:[22, 11], Operations: ['46-24=22', '44/4=11']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,63 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_3 | sum_heuristic |
[
10,
51,
84,
67
] | 14 | [
"10+51=61",
"67-61=6",
"84/6=14"
] | Current State: 14:[10, 51, 84, 67], Operations: []
Exploring Operation: 10+51=61, Resulting Numbers: [84, 67, 61]
Generated Node #2: [84, 67, 61] from Operation: 10+51=61
Current State: 14:[84, 67, 61], Operations: ['10+51=61']
Exploring Operation: 67-61=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 67-61=6
Current State: 14:[84, 6], Operations: ['10+51=61', '67-61=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[10, 51, 84, 67], Operations: []
Exploring Operation: 84-67=17, Resulting Numbers: [10, 51, 17]
Generated Node #0,0: 14:[10, 51, 17] Operation: 84-67=17
Exploring Operation: 84-51=33, Resulting Numbers: [10, 67, 33]
Generated Node #0,1: 14:[10, 67, 33] Operation: 84-51=33
Moving to Node #0,0
Current State: 14:[10, 51, 17], Operations: ['84-67=17']
Exploring Operation: 51-17=34, Resulting Numbers: [10, 34]
Generated Node #0,0,0: 14:[10, 34] Operation: 51-17=34
Exploring Operation: 51/17=3, Resulting Numbers: [10, 3]
Generated Node #0,0,1: 14:[10, 3] Operation: 51/17=3
Moving to Node #0,1
Current State: 14:[10, 67, 33], Operations: ['84-51=33']
Exploring Operation: 67-33=34, Resulting Numbers: [10, 34]
Generated Node #0,1,0: 14:[10, 34] Operation: 67-33=34
Exploring Operation: 67-10=57, Resulting Numbers: [33, 57]
Generated Node #0,1,1: 14:[33, 57] Operation: 67-10=57
Moving to Node #0,0,1
Current State: 14:[10, 3], Operations: ['84-67=17', '51/17=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[10, 34], Operations: ['84-51=33', '67-33=34']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[10, 34], Operations: ['84-67=17', '51-17=34']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[33, 57], Operations: ['84-51=33', '67-10=57']
Exploring Operation: 57-33=24, Resulting Numbers: [24]
24,14 unequal: No Solution
Exploring Operation: 33+57=90, Resulting Numbers: [90]
90,14 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
28,
92,
36,
4
] | 14 | [
"92-36=56",
"56/4=14",
"28-14=14"
] | Current State: 14:[28, 92, 36, 4], Operations: []
Exploring Operation: 92-36=56, Resulting Numbers: [28, 4, 56]
Generated Node #2: [28, 4, 56] from Operation: 92-36=56
Current State: 14:[28, 4, 56], Operations: ['92-36=56']
Exploring Operation: 56/4=14, Resulting Numbers: [28, 14]
Generated Node #3: [28, 14] from Operation: 56/4=14
Current State: 14:[28, 14], Operations: ['92-36=56', '56/4=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[28, 92, 36, 4], Operations: []
Exploring Operation: 92-36=56, Resulting Numbers: [28, 4, 56]
Generated Node #0,0: 14:[28, 4, 56] Operation: 92-36=56
Exploring Operation: 92/4=23, Resulting Numbers: [28, 36, 23]
Generated Node #0,1: 14:[28, 36, 23] Operation: 92/4=23
Moving to Node #0,1
Current State: 14:[28, 36, 23], Operations: ['92/4=23']
Exploring Operation: 36-23=13, Resulting Numbers: [28, 13]
Generated Node #0,1,0: 14:[28, 13] Operation: 36-23=13
Exploring Operation: 36-28=8, Resulting Numbers: [23, 8]
Generated Node #0,1,1: 14:[23, 8] Operation: 36-28=8
Moving to Node #0,0
Current State: 14:[28, 4, 56], Operations: ['92-36=56']
Exploring Operation: 56/28=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 14:[4, 2] Operation: 56/28=2
Exploring Operation: 56/4=14, Resulting Numbers: [28, 14]
Generated Node #0,0,1: 14:[28, 14] Operation: 56/4=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[4, 2], Operations: ['92-36=56', '56/28=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[28, 14], Operations: ['92-36=56', '56/4=14']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[28, 92, 36, 4], Operations: []
Exploring Operation: 92-36=56, Resulting Numbers: [28, 4, 56]
Generated Node #0,0: 14:[28, 4, 56] Operation: 92-36=56
Moving to Node #0,0
Current State: 14:[28, 4, 56], Operations: ['92-36=56']
Exploring Operation: 56/4=14, Resulting Numbers: [28, 14]
Generated Node #0,0,1: 14:[28, 14] Operation: 56/4=14
Moving to Node #0,0,1
Current State: 14:[28, 14], Operations: ['92-36=56', '56/4=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_2 | mult_heuristic |
[
70,
96,
26,
94
] | 18 | [
"96-94=2",
"26*2=52",
"70-52=18"
] | Current State: 18:[70, 96, 26, 94], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [70, 26, 2]
Generated Node #2: [70, 26, 2] from Operation: 96-94=2
Current State: 18:[70, 26, 2], Operations: ['96-94=2']
Exploring Operation: 26*2=52, Resulting Numbers: [70, 52]
Generated Node #3: [70, 52] from Operation: 26*2=52
Current State: 18:[70, 52], Operations: ['96-94=2', '26*2=52']
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[70, 96, 26, 94], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [26, 94, 26]
Generated Node #0,0: 18:[26, 94, 26] Operation: 96-70=26
Exploring Operation: 96-94=2, Resulting Numbers: [70, 26, 2]
Generated Node #0,1: 18:[70, 26, 2] Operation: 96-94=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[70, 26, 2], Operations: ['96-94=2']
Exploring Operation: 70/2=35, Resulting Numbers: [26, 35]
Generated Node #0,1,0: 18:[26, 35] Operation: 70/2=35
Exploring Operation: 70-26=44, Resulting Numbers: [2, 44]
Generated Node #0,1,1: 18:[2, 44] Operation: 70-26=44
Moving to Node #0,1,0
Current State: 18:[26, 35], Operations: ['96-94=2', '70/2=35']
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,18 unequal: No Solution
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[2, 44], Operations: ['96-94=2', '70-26=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,18 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 #0,0
Current State: 18:[26, 94, 26], Operations: ['96-70=26']
Exploring Operation: 94-26=68, Resulting Numbers: [26, 68]
Generated Node #0,0,0: 18:[26, 68] Operation: 94-26=68
Exploring Operation: 94-26=68, Resulting Numbers: [26, 68]
Generated Node #0,0,1: 18:[26, 68] Operation: 94-26=68
Moving to Node #0,0,0
Current State: 18:[26, 68], Operations: ['96-70=26', '94-26=68']
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,18 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[26, 68], Operations: ['96-70=26', '94-26=68']
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,18 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
12,
36,
25,
16
] | 33 | [
"36-12=24",
"25-16=9",
"24+9=33"
] | Current State: 33:[12, 36, 25, 16], Operations: []
Exploring Operation: 36-12=24, Resulting Numbers: [25, 16, 24]
Generated Node #2: [25, 16, 24] from Operation: 36-12=24
Current State: 33:[25, 16, 24], Operations: ['36-12=24']
Exploring Operation: 25-16=9, Resulting Numbers: [24, 9]
Generated Node #3: [24, 9] from Operation: 25-16=9
Current State: 33:[24, 9], Operations: ['36-12=24', '25-16=9']
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[12, 36, 25, 16], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [36, 25, 4]
Generated Node #0,0: 33:[36, 25, 4] Operation: 16-12=4
Exploring Operation: 36-25=11, Resulting Numbers: [12, 16, 11]
Generated Node #0,1: 33:[12, 16, 11] Operation: 36-25=11
Exploring Operation: 12+25=37, Resulting Numbers: [36, 16, 37]
Generated Node #0,2: 33:[36, 16, 37] Operation: 12+25=37
Exploring Operation: 25-16=9, Resulting Numbers: [12, 36, 9]
Generated Node #0,3: 33:[12, 36, 9] Operation: 25-16=9
Exploring Operation: 25-12=13, Resulting Numbers: [36, 16, 13]
Generated Node #0,4: 33:[36, 16, 13] Operation: 25-12=13
Moving to Node #0,1
Current State: 33:[12, 16, 11], Operations: ['36-25=11']
Exploring Operation: 12+16=28, Resulting Numbers: [11, 28]
Generated Node #0,1,0: 33:[11, 28] Operation: 12+16=28
Exploring Operation: 16-12=4, Resulting Numbers: [11, 4]
Generated Node #0,1,1: 33:[11, 4] Operation: 16-12=4
Exploring Operation: 16-11=5, Resulting Numbers: [12, 5]
Generated Node #0,1,2: 33:[12, 5] Operation: 16-11=5
Exploring Operation: 12-11=1, Resulting Numbers: [16, 1]
Generated Node #0,1,3: 33:[16, 1] Operation: 12-11=1
Exploring Operation: 16+11=27, Resulting Numbers: [12, 27]
Generated Node #0,1,4: 33:[12, 27] Operation: 16+11=27
Moving to Node #0,3
Current State: 33:[12, 36, 9], Operations: ['25-16=9']
Exploring Operation: 12-9=3, Resulting Numbers: [36, 3]
Generated Node #0,3,0: 33:[36, 3] Operation: 12-9=3
Exploring Operation: 36-12=24, Resulting Numbers: [9, 24]
Generated Node #0,3,1: 33:[9, 24] Operation: 36-12=24
Exploring Operation: 36-9=27, Resulting Numbers: [12, 27]
Generated Node #0,3,2: 33:[12, 27] Operation: 36-9=27
Exploring Operation: 36/9=4, Resulting Numbers: [12, 4]
Generated Node #0,3,3: 33:[12, 4] Operation: 36/9=4
Exploring Operation: 36/12=3, Resulting Numbers: [9, 3]
Generated Node #0,3,4: 33:[9, 3] Operation: 36/12=3
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[12, 4], Operations: ['25-16=9', '36/9=4']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 12*4=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,33 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 #0,3,4
Current State: 33:[9, 3], Operations: ['25-16=9', '36/12=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,33 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 #0,3,0
Current State: 33:[36, 3], Operations: ['25-16=9', '12-9=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[12, 36, 25, 16], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [12, 36, 9]
Generated Node #0,3: 33:[12, 36, 9] Operation: 25-16=9
Moving to Node #0,3
Current State: 33:[12, 36, 9], Operations: ['25-16=9']
Exploring Operation: 12-9=3, Resulting Numbers: [36, 3]
Generated Node #0,3,0: 33:[36, 3] Operation: 12-9=3
Moving to Node #0,3,0
Current State: 33:[36, 3], Operations: ['25-16=9', '12-9=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | sum_heuristic |
[
17,
76,
40,
47
] | 100 | [
"17+76=93",
"47-40=7",
"93+7=100"
] | Current State: 100:[17, 76, 40, 47], Operations: []
Exploring Operation: 17+76=93, Resulting Numbers: [40, 47, 93]
Generated Node #2: [40, 47, 93] from Operation: 17+76=93
Current State: 100:[40, 47, 93], Operations: ['17+76=93']
Exploring Operation: 47-40=7, Resulting Numbers: [93, 7]
Generated Node #3: [93, 7] from Operation: 47-40=7
Current State: 100:[93, 7], Operations: ['17+76=93', '47-40=7']
Exploring Operation: 93+7=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[17, 76, 40, 47], Operations: []
Exploring Operation: 76-40=36, Resulting Numbers: [17, 47, 36]
Generated Node #0,0: 100:[17, 47, 36] Operation: 76-40=36
Exploring Operation: 76-47=29, Resulting Numbers: [17, 40, 29]
Generated Node #0,1: 100:[17, 40, 29] Operation: 76-47=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[17, 47, 36], Operations: ['76-40=36']
Exploring Operation: 47-36=11, Resulting Numbers: [17, 11]
Generated Node #0,0,0: 100:[17, 11] Operation: 47-36=11
Exploring Operation: 36-17=19, Resulting Numbers: [47, 19]
Generated Node #0,0,1: 100:[47, 19] Operation: 36-17=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[17, 11], Operations: ['76-40=36', '47-36=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[47, 19], Operations: ['76-40=36', '36-17=19']
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,100 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[17, 40, 29], Operations: ['76-47=29']
Exploring Operation: 40-29=11, Resulting Numbers: [17, 11]
Generated Node #0,1,0: 100:[17, 11] Operation: 40-29=11
Exploring Operation: 40-17=23, Resulting Numbers: [29, 23]
Generated Node #0,1,1: 100:[29, 23] Operation: 40-17=23
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[17, 11], Operations: ['76-47=29', '40-29=11']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[29, 23], Operations: ['76-47=29', '40-17=23']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
24,
33,
67,
21
] | 78 | [
"24-21=3",
"33/3=11",
"67+11=78"
] | Current State: 78:[24, 33, 67, 21], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [33, 67, 3]
Generated Node #2: [33, 67, 3] from Operation: 24-21=3
Current State: 78:[33, 67, 3], Operations: ['24-21=3']
Exploring Operation: 33/3=11, Resulting Numbers: [67, 11]
Generated Node #3: [67, 11] from Operation: 33/3=11
Current State: 78:[67, 11], Operations: ['24-21=3', '33/3=11']
Exploring Operation: 67+11=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[24, 33, 67, 21], Operations: []
Exploring Operation: 67-33=34, Resulting Numbers: [24, 21, 34]
Generated Node #0,0: 78:[24, 21, 34] Operation: 67-33=34
Exploring Operation: 67-24=43, Resulting Numbers: [33, 21, 43]
Generated Node #0,1: 78:[33, 21, 43] Operation: 67-24=43
Exploring Operation: 67-21=46, Resulting Numbers: [24, 33, 46]
Generated Node #0,2: 78:[24, 33, 46] Operation: 67-21=46
Exploring Operation: 33-21=12, Resulting Numbers: [24, 67, 12]
Generated Node #0,3: 78:[24, 67, 12] Operation: 33-21=12
Moving to Node #0,0
Current State: 78:[24, 21, 34], Operations: ['67-33=34']
Exploring Operation: 24-21=3, Resulting Numbers: [34, 3]
Generated Node #0,0,0: 78:[34, 3] Operation: 24-21=3
Exploring Operation: 34-24=10, Resulting Numbers: [21, 10]
Generated Node #0,0,1: 78:[21, 10] Operation: 34-24=10
Exploring Operation: 34-21=13, Resulting Numbers: [24, 13]
Generated Node #0,0,2: 78:[24, 13] Operation: 34-21=13
Exploring Operation: 24+21=45, Resulting Numbers: [34, 45]
Generated Node #0,0,3: 78:[34, 45] Operation: 24+21=45
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 78:[24, 13], Operations: ['67-33=34', '34-21=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[34, 3], Operations: ['67-33=34', '24-21=3']
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,78 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[21, 10], Operations: ['67-33=34', '34-24=10']
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 78:[34, 45], Operations: ['67-33=34', '24+21=45']
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 34*45=1530, Resulting Numbers: [1530]
1530,78 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,78 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: 78:[24, 67, 12], Operations: ['33-21=12']
Exploring Operation: 24/12=2, Resulting Numbers: [67, 2]
Generated Node #0,3,0: 78:[67, 2] Operation: 24/12=2
Exploring Operation: 24-12=12, Resulting Numbers: [67, 12]
Generated Node #0,3,1: 78:[67, 12] Operation: 24-12=12
Exploring Operation: 67+12=79, Resulting Numbers: [24, 79]
Generated Node #0,3,2: 78:[24, 79] Operation: 67+12=79
Exploring Operation: 67-24=43, Resulting Numbers: [12, 43]
Generated Node #0,3,3: 78:[12, 43] Operation: 67-24=43
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 78:[24, 79], Operations: ['33-21=12', '67+12=79']
Exploring Operation: 24*79=1896, Resulting Numbers: [1896]
1896,78 unequal: No Solution
Exploring Operation: 24+79=103, Resulting Numbers: [103]
103,78 unequal: No Solution
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 78:[12, 43], Operations: ['33-21=12', '67-24=43']
Exploring Operation: 12*43=516, Resulting Numbers: [516]
516,78 unequal: No Solution
Exploring Operation: 12+43=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 78:[67, 2], Operations: ['33-21=12', '24/12=2']
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,78 unequal: No Solution
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,78 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 78:[67, 12], Operations: ['33-21=12', '24-12=12']
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 67+12=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 67*12=804, Resulting Numbers: [804]
804,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 78:[24, 33, 46], Operations: ['67-21=46']
Exploring Operation: 46-24=22, Resulting Numbers: [33, 22]
Generated Node #0,2,0: 78:[33, 22] Operation: 46-24=22
Exploring Operation: 46-33=13, Resulting Numbers: [24, 13]
Generated Node #0,2,1: 78:[24, 13] Operation: 46-33=13
Exploring Operation: 33-24=9, Resulting Numbers: [46, 9]
Generated Node #0,2,2: 78:[46, 9] Operation: 33-24=9
Exploring Operation: 33+46=79, Resulting Numbers: [24, 79]
Generated Node #0,2,3: 78:[24, 79] Operation: 33+46=79
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[24, 13], Operations: ['67-21=46', '46-33=13']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 78:[24, 79], Operations: ['67-21=46', '33+46=79']
Exploring Operation: 24+79=103, Resulting Numbers: [103]
103,78 unequal: No Solution
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 24*79=1896, Resulting Numbers: [1896]
1896,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[33, 22], Operations: ['67-21=46', '46-24=22']
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,78 unequal: No Solution
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[46, 9], Operations: ['67-21=46', '33-24=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 46*9=414, Resulting Numbers: [414]
414,78 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: 78:[33, 21, 43], Operations: ['67-24=43']
Exploring Operation: 33-21=12, Resulting Numbers: [43, 12]
Generated Node #0,1,0: 78:[43, 12] Operation: 33-21=12
Exploring Operation: 43-21=22, Resulting Numbers: [33, 22]
Generated Node #0,1,1: 78:[33, 22] Operation: 43-21=22
Exploring Operation: 43-33=10, Resulting Numbers: [21, 10]
Generated Node #0,1,2: 78:[21, 10] Operation: 43-33=10
Exploring Operation: 33+43=76, Resulting Numbers: [21, 76]
Generated Node #0,1,3: 78:[21, 76] Operation: 33+43=76
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[43, 12], Operations: ['67-24=43', '33-21=12']
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 43*12=516, Resulting Numbers: [516]
516,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 78:[21, 76], Operations: ['67-24=43', '33+43=76']
Exploring Operation: 21+76=97, Resulting Numbers: [97]
97,78 unequal: No Solution
Exploring Operation: 21*76=1596, Resulting Numbers: [1596]
1596,78 unequal: No Solution
Exploring Operation: 76-21=55, Resulting Numbers: [55]
55,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[21, 10], Operations: ['67-24=43', '43-33=10']
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[33, 22], Operations: ['67-24=43', '43-21=22']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,78 unequal: No Solution
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
62,
51,
1,
53
] | 30 | [
"53-51=2",
"62/2=31",
"31-1=30"
] | Current State: 30:[62, 51, 1, 53], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [62, 1, 2]
Generated Node #2: [62, 1, 2] from Operation: 53-51=2
Current State: 30:[62, 1, 2], Operations: ['53-51=2']
Exploring Operation: 62/2=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 62/2=31
Current State: 30:[1, 31], Operations: ['53-51=2', '62/2=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[62, 51, 1, 53], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [1, 53, 11]
Generated Node #0,0: 30:[1, 53, 11] Operation: 62-51=11
Exploring Operation: 51-1=50, Resulting Numbers: [62, 53, 50]
Generated Node #0,1: 30:[62, 53, 50] Operation: 51-1=50
Exploring Operation: 62-53=9, Resulting Numbers: [51, 1, 9]
Generated Node #0,2: 30:[51, 1, 9] Operation: 62-53=9
Exploring Operation: 62-1=61, Resulting Numbers: [51, 53, 61]
Generated Node #0,3: 30:[51, 53, 61] Operation: 62-1=61
Exploring Operation: 53-51=2, Resulting Numbers: [62, 1, 2]
Generated Node #0,4: 30:[62, 1, 2] Operation: 53-51=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[51, 1, 9], Operations: ['62-53=9']
Exploring Operation: 51/1=51, Resulting Numbers: [9, 51]
Generated Node #0,2,0: 30:[9, 51] Operation: 51/1=51
Exploring Operation: 51*1=51, Resulting Numbers: [9, 51]
Generated Node #0,2,1: 30:[9, 51] Operation: 51*1=51
Exploring Operation: 51-1=50, Resulting Numbers: [9, 50]
Generated Node #0,2,2: 30:[9, 50] Operation: 51-1=50
Exploring Operation: 1+9=10, Resulting Numbers: [51, 10]
Generated Node #0,2,3: 30:[51, 10] Operation: 1+9=10
Exploring Operation: 51-9=42, Resulting Numbers: [1, 42]
Generated Node #0,2,4: 30:[1, 42] Operation: 51-9=42
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 30:[1, 42], Operations: ['62-53=9', '51-9=42']
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Exploring Operation: 1+42=43, Resulting Numbers: [43]
43,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 30:[9, 50], Operations: ['62-53=9', '51-1=50']
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Exploring Operation: 9*50=450, Resulting Numbers: [450]
450,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 30:[51, 10], Operations: ['62-53=9', '1+9=10']
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,30 unequal: No Solution
Exploring Operation: 51*10=510, Resulting Numbers: [510]
510,30 unequal: No Solution
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 30:[9, 51], Operations: ['62-53=9', '51/1=51']
Exploring Operation: 9*51=459, Resulting Numbers: [459]
459,30 unequal: No Solution
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 30:[9, 51], Operations: ['62-53=9', '51*1=51']
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 9*51=459, Resulting Numbers: [459]
459,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[1, 53, 11], Operations: ['62-51=11']
Exploring Operation: 1*53=53, Resulting Numbers: [11, 53]
Generated Node #0,0,0: 30:[11, 53] Operation: 1*53=53
Exploring Operation: 11-1=10, Resulting Numbers: [53, 10]
Generated Node #0,0,1: 30:[53, 10] Operation: 11-1=10
Exploring Operation: 53-1=52, Resulting Numbers: [11, 52]
Generated Node #0,0,2: 30:[11, 52] Operation: 53-1=52
Exploring Operation: 53/1=53, Resulting Numbers: [11, 53]
Generated Node #0,0,3: 30:[11, 53] Operation: 53/1=53
Exploring Operation: 53-11=42, Resulting Numbers: [1, 42]
Generated Node #0,0,4: 30:[1, 42] Operation: 53-11=42
Moving to Node #0,0,4
Current State: 30:[1, 42], Operations: ['62-51=11', '53-11=42']
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 1+42=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[11, 52], Operations: ['62-51=11', '53-1=52']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Exploring Operation: 11*52=572, Resulting Numbers: [572]
572,30 unequal: No Solution
Exploring Operation: 11+52=63, Resulting Numbers: [63]
63,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[53, 10], Operations: ['62-51=11', '11-1=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 53+10=63, Resulting Numbers: [63]
63,30 unequal: No Solution
Exploring Operation: 53*10=530, Resulting Numbers: [530]
530,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[11, 53], Operations: ['62-51=11', '1*53=53']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 11*53=583, Resulting Numbers: [583]
583,30 unequal: No Solution
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,30 unequal: No Solution
Moving to Node #0,0,3
Current State: 30:[11, 53], Operations: ['62-51=11', '53/1=53']
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,30 unequal: No Solution
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 11*53=583, Resulting Numbers: [583]
583,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 30:[62, 1, 2], Operations: ['53-51=2']
Exploring Operation: 62/1=62, Resulting Numbers: [2, 62]
Generated Node #0,4,0: 30:[2, 62] Operation: 62/1=62
Exploring Operation: 62/2=31, Resulting Numbers: [1, 31]
Generated Node #0,4,1: 30:[1, 31] Operation: 62/2=31
Exploring Operation: 62-1=61, Resulting Numbers: [2, 61]
Generated Node #0,4,2: 30:[2, 61] Operation: 62-1=61
Exploring Operation: 62*1=62, Resulting Numbers: [2, 62]
Generated Node #0,4,3: 30:[2, 62] Operation: 62*1=62
Exploring Operation: 62-2=60, Resulting Numbers: [1, 60]
Generated Node #0,4,4: 30:[1, 60] Operation: 62-2=60
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 30:[1, 31], Operations: ['53-51=2', '62/2=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,30 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 1*31=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[62, 51, 1, 53], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [62, 1, 2]
Generated Node #0,4: 30:[62, 1, 2] Operation: 53-51=2
Moving to Node #0,4
Current State: 30:[62, 1, 2], Operations: ['53-51=2']
Exploring Operation: 62/2=31, Resulting Numbers: [1, 31]
Generated Node #0,4,1: 30:[1, 31] Operation: 62/2=31
Moving to Node #0,4,1
Current State: 30:[1, 31], Operations: ['53-51=2', '62/2=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.947917 | hs_5 | mult_heuristic |
[
97,
78,
39,
68
] | 58 | [
"97-68=29",
"78/39=2",
"29*2=58"
] | Current State: 58:[97, 78, 39, 68], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [78, 39, 29]
Generated Node #2: [78, 39, 29] from Operation: 97-68=29
Current State: 58:[78, 39, 29], Operations: ['97-68=29']
Exploring Operation: 78/39=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 78/39=2
Current State: 58:[29, 2], Operations: ['97-68=29', '78/39=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[97, 78, 39, 68], Operations: []
Exploring Operation: 97-39=58, Resulting Numbers: [78, 68, 58]
Generated Node #0,0: 58:[78, 68, 58] Operation: 97-39=58
Exploring Operation: 78-68=10, Resulting Numbers: [97, 39, 10]
Generated Node #0,1: 58:[97, 39, 10] Operation: 78-68=10
Exploring Operation: 78/39=2, Resulting Numbers: [97, 68, 2]
Generated Node #0,2: 58:[97, 68, 2] Operation: 78/39=2
Exploring Operation: 97-68=29, Resulting Numbers: [78, 39, 29]
Generated Node #0,3: 58:[78, 39, 29] Operation: 97-68=29
Exploring Operation: 97-78=19, Resulting Numbers: [39, 68, 19]
Generated Node #0,4: 58:[39, 68, 19] Operation: 97-78=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[78, 68, 58], Operations: ['97-39=58']
Exploring Operation: 78-68=10, Resulting Numbers: [58, 10]
Generated Node #0,0,0: 58:[58, 10] Operation: 78-68=10
Exploring Operation: 78+58=136, Resulting Numbers: [68, 136]
Generated Node #0,0,1: 58:[68, 136] Operation: 78+58=136
Exploring Operation: 78+68=146, Resulting Numbers: [58, 146]
Generated Node #0,0,2: 58:[58, 146] Operation: 78+68=146
Exploring Operation: 78-58=20, Resulting Numbers: [68, 20]
Generated Node #0,0,3: 58:[68, 20] Operation: 78-58=20
Exploring Operation: 68-58=10, Resulting Numbers: [78, 10]
Generated Node #0,0,4: 58:[78, 10] Operation: 68-58=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[58, 10], Operations: ['97-39=58', '78-68=10']
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,58 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 58:[68, 20], Operations: ['97-39=58', '78-58=20']
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 68*20=1360, Resulting Numbers: [1360]
1360,58 unequal: No Solution
Exploring Operation: 68+20=88, Resulting Numbers: [88]
88,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 58:[78, 10], Operations: ['97-39=58', '68-58=10']
Exploring Operation: 78+10=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 78*10=780, Resulting Numbers: [780]
780,58 unequal: No Solution
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[68, 136], Operations: ['97-39=58', '78+58=136']
Exploring Operation: 136-68=68, Resulting Numbers: [68]
68,58 unequal: No Solution
Exploring Operation: 68+136=204, Resulting Numbers: [204]
204,58 unequal: No Solution
Exploring Operation: 68*136=9248, Resulting Numbers: [9248]
9248,58 unequal: No Solution
Exploring Operation: 136/68=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[58, 146], Operations: ['97-39=58', '78+68=146']
Exploring Operation: 146-58=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 58*146=8468, Resulting Numbers: [8468]
8468,58 unequal: No Solution
Exploring Operation: 58+146=204, Resulting Numbers: [204]
204,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 58:[78, 39, 29], Operations: ['97-68=29']
Exploring Operation: 39+29=68, Resulting Numbers: [78, 68]
Generated Node #0,3,0: 58:[78, 68] Operation: 39+29=68
Exploring Operation: 78/39=2, Resulting Numbers: [29, 2]
Generated Node #0,3,1: 58:[29, 2] Operation: 78/39=2
Exploring Operation: 78-29=49, Resulting Numbers: [39, 49]
Generated Node #0,3,2: 58:[39, 49] Operation: 78-29=49
Exploring Operation: 78-39=39, Resulting Numbers: [29, 39]
Generated Node #0,3,3: 58:[29, 39] Operation: 78-39=39
Exploring Operation: 39-29=10, Resulting Numbers: [78, 10]
Generated Node #0,3,4: 58:[78, 10] Operation: 39-29=10
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 58:[29, 2], Operations: ['97-68=29', '78/39=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[97, 78, 39, 68], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [78, 39, 29]
Generated Node #0,3: 58:[78, 39, 29] Operation: 97-68=29
Moving to Node #0,3
Current State: 58:[78, 39, 29], Operations: ['97-68=29']
Exploring Operation: 78/39=2, Resulting Numbers: [29, 2]
Generated Node #0,3,1: 58:[29, 2] Operation: 78/39=2
Moving to Node #0,3,1
Current State: 58:[29, 2], Operations: ['97-68=29', '78/39=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
18,
82,
3,
99
] | 38 | [
"82-18=64",
"3+99=102",
"102-64=38"
] | Current State: 38:[18, 82, 3, 99], Operations: []
Exploring Operation: 82-18=64, Resulting Numbers: [3, 99, 64]
Generated Node #2: [3, 99, 64] from Operation: 82-18=64
Current State: 38:[3, 99, 64], Operations: ['82-18=64']
Exploring Operation: 3+99=102, Resulting Numbers: [64, 102]
Generated Node #3: [64, 102] from Operation: 3+99=102
Current State: 38:[64, 102], Operations: ['82-18=64', '3+99=102']
Exploring Operation: 102-64=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[18, 82, 3, 99], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [18, 82, 33]
Generated Node #0,0: 38:[18, 82, 33] Operation: 99/3=33
Exploring Operation: 82-18=64, Resulting Numbers: [3, 99, 64]
Generated Node #0,1: 38:[3, 99, 64] Operation: 82-18=64
Exploring Operation: 99-82=17, Resulting Numbers: [18, 3, 17]
Generated Node #0,2: 38:[18, 3, 17] Operation: 99-82=17
Moving to Node #0,2
Current State: 38:[18, 3, 17], Operations: ['99-82=17']
Exploring Operation: 3+17=20, Resulting Numbers: [18, 20]
Generated Node #0,2,0: 38:[18, 20] Operation: 3+17=20
Exploring Operation: 18+3=21, Resulting Numbers: [17, 21]
Generated Node #0,2,1: 38:[17, 21] Operation: 18+3=21
Exploring Operation: 18-17=1, Resulting Numbers: [3, 1]
Generated Node #0,2,2: 38:[3, 1] Operation: 18-17=1
Moving to Node #0,0
Current State: 38:[18, 82, 33], Operations: ['99/3=33']
Exploring Operation: 82-18=64, Resulting Numbers: [33, 64]
Generated Node #0,0,0: 38:[33, 64] Operation: 82-18=64
Exploring Operation: 82-33=49, Resulting Numbers: [18, 49]
Generated Node #0,0,1: 38:[18, 49] Operation: 82-33=49
Exploring Operation: 33-18=15, Resulting Numbers: [82, 15]
Generated Node #0,0,2: 38:[82, 15] Operation: 33-18=15
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[18, 49], Operations: ['99/3=33', '82-33=49']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,38 unequal: No Solution
Exploring Operation: 18*49=882, Resulting Numbers: [882]
882,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[33, 64], Operations: ['99/3=33', '82-18=64']
Exploring Operation: 33*64=2112, Resulting Numbers: [2112]
2112,38 unequal: No Solution
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Exploring Operation: 33+64=97, Resulting Numbers: [97]
97,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[82, 15], Operations: ['99/3=33', '33-18=15']
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,38 unequal: No Solution
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,38 unequal: No Solution
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,38 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: 38:[3, 99, 64], Operations: ['82-18=64']
Exploring Operation: 99-3=96, Resulting Numbers: [64, 96]
Generated Node #0,1,0: 38:[64, 96] Operation: 99-3=96
Exploring Operation: 99/3=33, Resulting Numbers: [64, 33]
Generated Node #0,1,1: 38:[64, 33] Operation: 99/3=33
Exploring Operation: 99-64=35, Resulting Numbers: [3, 35]
Generated Node #0,1,2: 38:[3, 35] Operation: 99-64=35
Moving to Node #0,2,0
Current State: 38:[18, 20], Operations: ['99-82=17', '3+17=20']
Exploring Operation: 18*20=360, Resulting Numbers: [360]
360,38 unequal: No Solution
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[18, 82, 3, 99], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [18, 3, 17]
Generated Node #0,2: 38:[18, 3, 17] Operation: 99-82=17
Moving to Node #0,2
Current State: 38:[18, 3, 17], Operations: ['99-82=17']
Exploring Operation: 3+17=20, Resulting Numbers: [18, 20]
Generated Node #0,2,0: 38:[18, 20] Operation: 3+17=20
Moving to Node #0,2,0
Current State: 38:[18, 20], Operations: ['99-82=17', '3+17=20']
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.976563 | hs_3 | sum_heuristic |
[
51,
97,
93,
82
] | 35 | [
"97-51=46",
"93-82=11",
"46-11=35"
] | Current State: 35:[51, 97, 93, 82], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [93, 82, 46]
Generated Node #2: [93, 82, 46] from Operation: 97-51=46
Current State: 35:[93, 82, 46], Operations: ['97-51=46']
Exploring Operation: 93-82=11, Resulting Numbers: [46, 11]
Generated Node #3: [46, 11] from Operation: 93-82=11
Current State: 35:[46, 11], Operations: ['97-51=46', '93-82=11']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[51, 97, 93, 82], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [51, 93, 15]
Generated Node #0,0: 35:[51, 93, 15] Operation: 97-82=15
Exploring Operation: 97-93=4, Resulting Numbers: [51, 82, 4]
Generated Node #0,1: 35:[51, 82, 4] Operation: 97-93=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[51, 82, 4], Operations: ['97-93=4']
Exploring Operation: 82-51=31, Resulting Numbers: [4, 31]
Generated Node #0,1,0: 35:[4, 31] Operation: 82-51=31
Exploring Operation: 51-4=47, Resulting Numbers: [82, 47]
Generated Node #0,1,1: 35:[82, 47] Operation: 51-4=47
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[4, 31], Operations: ['97-93=4', '82-51=31']
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[51, 97, 93, 82], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [51, 82, 4]
Generated Node #0,1: 35:[51, 82, 4] Operation: 97-93=4
Moving to Node #0,1
Current State: 35:[51, 82, 4], Operations: ['97-93=4']
Exploring Operation: 82-51=31, Resulting Numbers: [4, 31]
Generated Node #0,1,0: 35:[4, 31] Operation: 82-51=31
Moving to Node #0,1,0
Current State: 35:[4, 31], Operations: ['97-93=4', '82-51=31']
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
79,
71,
51,
54
] | 50 | [
"79+71=150",
"54-51=3",
"150/3=50"
] | Current State: 50:[79, 71, 51, 54], Operations: []
Exploring Operation: 79+71=150, Resulting Numbers: [51, 54, 150]
Generated Node #2: [51, 54, 150] from Operation: 79+71=150
Current State: 50:[51, 54, 150], Operations: ['79+71=150']
Exploring Operation: 54-51=3, Resulting Numbers: [150, 3]
Generated Node #3: [150, 3] from Operation: 54-51=3
Current State: 50:[150, 3], Operations: ['79+71=150', '54-51=3']
Exploring Operation: 150/3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[79, 71, 51, 54], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [79, 51, 17]
Generated Node #0,0: 50:[79, 51, 17] Operation: 71-54=17
Exploring Operation: 79-71=8, Resulting Numbers: [51, 54, 8]
Generated Node #0,1: 50:[51, 54, 8] Operation: 79-71=8
Exploring Operation: 79-51=28, Resulting Numbers: [71, 54, 28]
Generated Node #0,2: 50:[71, 54, 28] Operation: 79-51=28
Exploring Operation: 71-51=20, Resulting Numbers: [79, 54, 20]
Generated Node #0,3: 50:[79, 54, 20] Operation: 71-51=20
Exploring Operation: 79-54=25, Resulting Numbers: [71, 51, 25]
Generated Node #0,4: 50:[71, 51, 25] Operation: 79-54=25
Moving to Node #0,1
Current State: 50:[51, 54, 8], Operations: ['79-71=8']
Exploring Operation: 51-8=43, Resulting Numbers: [54, 43]
Generated Node #0,1,0: 50:[54, 43] Operation: 51-8=43
Exploring Operation: 54-8=46, Resulting Numbers: [51, 46]
Generated Node #0,1,1: 50:[51, 46] Operation: 54-8=46
Exploring Operation: 54-51=3, Resulting Numbers: [8, 3]
Generated Node #0,1,2: 50:[8, 3] Operation: 54-51=3
Exploring Operation: 54+8=62, Resulting Numbers: [51, 62]
Generated Node #0,1,3: 50:[51, 62] Operation: 54+8=62
Exploring Operation: 51+8=59, Resulting Numbers: [54, 59]
Generated Node #0,1,4: 50:[54, 59] Operation: 51+8=59
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 50:[8, 3], Operations: ['79-71=8', '54-51=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,50 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:[51, 46], Operations: ['79-71=8', '54-8=46']
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 51+46=97, Resulting Numbers: [97]
97,50 unequal: No Solution
Exploring Operation: 51*46=2346, Resulting Numbers: [2346]
2346,50 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 #0,1,0
Current State: 50:[54, 43], Operations: ['79-71=8', '51-8=43']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,50 unequal: No Solution
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,50 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 #0,1,3
Current State: 50:[51, 62], Operations: ['79-71=8', '54+8=62']
Exploring Operation: 51+62=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 51*62=3162, Resulting Numbers: [3162]
3162,50 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 #0,1,4
Current State: 50:[54, 59], Operations: ['79-71=8', '51+8=59']
Exploring Operation: 54+59=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Exploring Operation: 54*59=3186, Resulting Numbers: [3186]
3186,50 unequal: No Solution
Exploring Operation: 59-54=5, Resulting Numbers: [5]
5,50 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: 50:[71, 51, 25], Operations: ['79-54=25']
Exploring Operation: 51-25=26, Resulting Numbers: [71, 26]
Generated Node #0,4,0: 50:[71, 26] Operation: 51-25=26
Exploring Operation: 71-25=46, Resulting Numbers: [51, 46]
Generated Node #0,4,1: 50:[51, 46] Operation: 71-25=46
Exploring Operation: 71-51=20, Resulting Numbers: [25, 20]
Generated Node #0,4,2: 50:[25, 20] Operation: 71-51=20
Exploring Operation: 51+25=76, Resulting Numbers: [71, 76]
Generated Node #0,4,3: 50:[71, 76] Operation: 51+25=76
Exploring Operation: 71+25=96, Resulting Numbers: [51, 96]
Generated Node #0,4,4: 50:[51, 96] Operation: 71+25=96
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 50:[51, 46], Operations: ['79-54=25', '71-25=46']
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 51+46=97, Resulting Numbers: [97]
97,50 unequal: No Solution
Exploring Operation: 51*46=2346, Resulting Numbers: [2346]
2346,50 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 #0,4,2
Current State: 50:[25, 20], Operations: ['79-54=25', '71-51=20']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,50 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,50 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 #0,4,0
Current State: 50:[71, 26], Operations: ['79-54=25', '51-25=26']
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,50 unequal: No Solution
Exploring Operation: 71*26=1846, Resulting Numbers: [1846]
1846,50 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 #0,4,3
Current State: 50:[71, 76], Operations: ['79-54=25', '51+25=76']
Exploring Operation: 71*76=5396, Resulting Numbers: [5396]
5396,50 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 71+76=147, Resulting Numbers: [147]
147,50 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 #0,4,4
Current State: 50:[51, 96], Operations: ['79-54=25', '71+25=96']
Exploring Operation: 51*96=4896, Resulting Numbers: [4896]
4896,50 unequal: No Solution
Exploring Operation: 51+96=147, Resulting Numbers: [147]
147,50 unequal: No Solution
Exploring Operation: 96-51=45, Resulting Numbers: [45]
45,50 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:[71, 54, 28], Operations: ['79-51=28']
Exploring Operation: 54+28=82, Resulting Numbers: [71, 82]
Generated Node #0,2,0: 50:[71, 82] Operation: 54+28=82
Exploring Operation: 71-54=17, Resulting Numbers: [28, 17]
Generated Node #0,2,1: 50:[28, 17] Operation: 71-54=17
Exploring Operation: 71+28=99, Resulting Numbers: [54, 99]
Generated Node #0,2,2: 50:[54, 99] Operation: 71+28=99
Exploring Operation: 71-28=43, Resulting Numbers: [54, 43]
Generated Node #0,2,3: 50:[54, 43] Operation: 71-28=43
Exploring Operation: 54-28=26, Resulting Numbers: [71, 26]
Generated Node #0,2,4: 50:[71, 26] Operation: 54-28=26
Moving to Node #0,0
Current State: 50:[79, 51, 17], Operations: ['71-54=17']
Exploring Operation: 79+17=96, Resulting Numbers: [51, 96]
Generated Node #0,0,0: 50:[51, 96] Operation: 79+17=96
Exploring Operation: 79-51=28, Resulting Numbers: [17, 28]
Generated Node #0,0,1: 50:[17, 28] Operation: 79-51=28
Exploring Operation: 51-17=34, Resulting Numbers: [79, 34]
Generated Node #0,0,2: 50:[79, 34] Operation: 51-17=34
Exploring Operation: 79-17=62, Resulting Numbers: [51, 62]
Generated Node #0,0,3: 50:[51, 62] Operation: 79-17=62
Exploring Operation: 51/17=3, Resulting Numbers: [79, 3]
Generated Node #0,0,4: 50:[79, 3] Operation: 51/17=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[17, 28], Operations: ['71-54=17', '79-51=28']
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,50 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,50 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 #0,0,3
Current State: 50:[51, 62], Operations: ['71-54=17', '79-17=62']
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 51+62=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Exploring Operation: 51*62=3162, Resulting Numbers: [3162]
3162,50 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 #0,0,4
Current State: 50:[79, 3], Operations: ['71-54=17', '51/17=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,50 unequal: No Solution
Exploring Operation: 79*3=237, Resulting Numbers: [237]
237,50 unequal: No Solution
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,50 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:[79, 34], Operations: ['71-54=17', '51-17=34']
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 79+34=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Exploring Operation: 79*34=2686, Resulting Numbers: [2686]
2686,50 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:[51, 96], Operations: ['71-54=17', '79+17=96']
Exploring Operation: 51*96=4896, Resulting Numbers: [4896]
4896,50 unequal: No Solution
Exploring Operation: 51+96=147, Resulting Numbers: [147]
147,50 unequal: No Solution
Exploring Operation: 96-51=45, Resulting Numbers: [45]
45,50 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: 50:[79, 54, 20], Operations: ['71-51=20']
Exploring Operation: 79-20=59, Resulting Numbers: [54, 59]
Generated Node #0,3,0: 50:[54, 59] Operation: 79-20=59
Exploring Operation: 54-20=34, Resulting Numbers: [79, 34]
Generated Node #0,3,1: 50:[79, 34] Operation: 54-20=34
Exploring Operation: 79+20=99, Resulting Numbers: [54, 99]
Generated Node #0,3,2: 50:[54, 99] Operation: 79+20=99
Exploring Operation: 54+20=74, Resulting Numbers: [79, 74]
Generated Node #0,3,3: 50:[79, 74] Operation: 54+20=74
Exploring Operation: 79-54=25, Resulting Numbers: [20, 25]
Generated Node #0,3,4: 50:[20, 25] Operation: 79-54=25
Moving to Node #0,3,4
Current State: 50:[20, 25], Operations: ['71-51=20', '79-54=25']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,50 unequal: No Solution
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[28, 17], Operations: ['79-51=28', '71-54=17']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 28*17=476, Resulting Numbers: [476]
476,50 unequal: No Solution
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Moving to Node #0,2,3
Current State: 50:[54, 43], Operations: ['79-51=28', '71-28=43']
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,50 unequal: No Solution
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,50 unequal: No Solution
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Moving to Node #0,3,0
Current State: 50:[54, 59], Operations: ['71-51=20', '79-20=59']
Exploring Operation: 59-54=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 54+59=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Exploring Operation: 54*59=3186, Resulting Numbers: [3186]
3186,50 unequal: No Solution
Moving to Node #0,2,4
Current State: 50:[71, 26], Operations: ['79-51=28', '54-28=26']
Exploring Operation: 71*26=1846, Resulting Numbers: [1846]
1846,50 unequal: No Solution
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,50 unequal: No Solution
Moving to Node #0,3,1
Current State: 50:[79, 34], Operations: ['71-51=20', '54-20=34']
Exploring Operation: 79+34=113, Resulting Numbers: [113]
113,50 unequal: No Solution
Exploring Operation: 79*34=2686, Resulting Numbers: [2686]
2686,50 unequal: No Solution
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Moving to Node #0,3,2
Current State: 50:[54, 99], Operations: ['71-51=20', '79+20=99']
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 54*99=5346, Resulting Numbers: [5346]
5346,50 unequal: No Solution
Exploring Operation: 54+99=153, Resulting Numbers: [153]
153,50 unequal: No Solution
Moving to Node #0,3,3
Current State: 50:[79, 74], Operations: ['71-51=20', '54+20=74']
Exploring Operation: 79*74=5846, Resulting Numbers: [5846]
5846,50 unequal: No Solution
Exploring Operation: 79+74=153, Resulting Numbers: [153]
153,50 unequal: No Solution
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[54, 99], Operations: ['79-51=28', '71+28=99']
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 54*99=5346, Resulting Numbers: [5346]
5346,50 unequal: No Solution
Exploring Operation: 54+99=153, Resulting Numbers: [153]
153,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[71, 82], Operations: ['79-51=28', '54+28=82']
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 71+82=153, Resulting Numbers: [153]
153,50 unequal: No Solution
Exploring Operation: 71*82=5822, Resulting Numbers: [5822]
5822,50 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
14,
14,
70,
94
] | 32 | [
"14*14=196",
"70+94=164",
"196-164=32"
] | Current State: 32:[14, 14, 70, 94], Operations: []
Exploring Operation: 14*14=196, Resulting Numbers: [70, 94, 196]
Generated Node #2: [70, 94, 196] from Operation: 14*14=196
Current State: 32:[70, 94, 196], Operations: ['14*14=196']
Exploring Operation: 70+94=164, Resulting Numbers: [196, 164]
Generated Node #3: [196, 164] from Operation: 70+94=164
Current State: 32:[196, 164], Operations: ['14*14=196', '70+94=164']
Exploring Operation: 196-164=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[14, 14, 70, 94], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [14, 14, 24]
Generated Node #0,0: 32:[14, 14, 24] Operation: 94-70=24
Exploring Operation: 70/14=5, Resulting Numbers: [14, 94, 5]
Generated Node #0,1: 32:[14, 94, 5] Operation: 70/14=5
Exploring Operation: 70/14=5, Resulting Numbers: [14, 94, 5]
Generated Node #0,2: 32:[14, 94, 5] Operation: 70/14=5
Exploring Operation: 70-14=56, Resulting Numbers: [14, 94, 56]
Generated Node #0,3: 32:[14, 94, 56] Operation: 70-14=56
Moving to Node #0,0
Current State: 32:[14, 14, 24], Operations: ['94-70=24']
Exploring Operation: 24-14=10, Resulting Numbers: [14, 10]
Generated Node #0,0,0: 32:[14, 10] Operation: 24-14=10
Exploring Operation: 24-14=10, Resulting Numbers: [14, 10]
Generated Node #0,0,1: 32:[14, 10] Operation: 24-14=10
Exploring Operation: 14+24=38, Resulting Numbers: [14, 38]
Generated Node #0,0,2: 32:[14, 38] Operation: 14+24=38
Exploring Operation: 14+24=38, Resulting Numbers: [14, 38]
Generated Node #0,0,3: 32:[14, 38] Operation: 14+24=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[14, 10], Operations: ['94-70=24', '24-14=10']
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,32 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[14, 10], Operations: ['94-70=24', '24-14=10']
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,32 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[14, 38], Operations: ['94-70=24', '14+24=38']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,32 unequal: No Solution
Exploring Operation: 14*38=532, Resulting Numbers: [532]
532,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 32:[14, 38], Operations: ['94-70=24', '14+24=38']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 14*38=532, Resulting Numbers: [532]
532,32 unequal: No Solution
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,32 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: 32:[14, 94, 5], Operations: ['70/14=5']
Exploring Operation: 94-5=89, Resulting Numbers: [14, 89]
Generated Node #0,2,0: 32:[14, 89] Operation: 94-5=89
Exploring Operation: 94-14=80, Resulting Numbers: [5, 80]
Generated Node #0,2,1: 32:[5, 80] Operation: 94-14=80
Exploring Operation: 14-5=9, Resulting Numbers: [94, 9]
Generated Node #0,2,2: 32:[94, 9] Operation: 14-5=9
Exploring Operation: 14+5=19, Resulting Numbers: [94, 19]
Generated Node #0,2,3: 32:[94, 19] Operation: 14+5=19
Moving to Node #0,1
Current State: 32:[14, 94, 5], Operations: ['70/14=5']
Exploring Operation: 94-5=89, Resulting Numbers: [14, 89]
Generated Node #0,1,0: 32:[14, 89] Operation: 94-5=89
Exploring Operation: 14+5=19, Resulting Numbers: [94, 19]
Generated Node #0,1,1: 32:[94, 19] Operation: 14+5=19
Exploring Operation: 94-14=80, Resulting Numbers: [5, 80]
Generated Node #0,1,2: 32:[5, 80] Operation: 94-14=80
Exploring Operation: 14-5=9, Resulting Numbers: [94, 9]
Generated Node #0,1,3: 32:[94, 9] Operation: 14-5=9
Moving to Node #0,3
Current State: 32:[14, 94, 56], Operations: ['70-14=56']
Exploring Operation: 56-14=42, Resulting Numbers: [94, 42]
Generated Node #0,3,0: 32:[94, 42] Operation: 56-14=42
Exploring Operation: 56/14=4, Resulting Numbers: [94, 4]
Generated Node #0,3,1: 32:[94, 4] Operation: 56/14=4
Exploring Operation: 94-56=38, Resulting Numbers: [14, 38]
Generated Node #0,3,2: 32:[14, 38] Operation: 94-56=38
Exploring Operation: 94-14=80, Resulting Numbers: [56, 80]
Generated Node #0,3,3: 32:[56, 80] Operation: 94-14=80
Moving to Node #0,3,2
Current State: 32:[14, 38], Operations: ['70-14=56', '94-56=38']
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,32 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 14*38=532, Resulting Numbers: [532]
532,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[5, 80], Operations: ['70/14=5', '94-14=80']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,32 unequal: No Solution
Exploring Operation: 5*80=400, Resulting Numbers: [400]
400,32 unequal: No Solution
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,32 unequal: No Solution
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[5, 80], Operations: ['70/14=5', '94-14=80']
Exploring Operation: 5*80=400, Resulting Numbers: [400]
400,32 unequal: No Solution
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,32 unequal: No Solution
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[14, 89], Operations: ['70/14=5', '94-5=89']
Exploring Operation: 14+89=103, Resulting Numbers: [103]
103,32 unequal: No Solution
Exploring Operation: 14*89=1246, Resulting Numbers: [1246]
1246,32 unequal: No Solution
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,32 unequal: No Solution
Moving to Node #0,2,0
Current State: 32:[14, 89], Operations: ['70/14=5', '94-5=89']
Exploring Operation: 14*89=1246, Resulting Numbers: [1246]
1246,32 unequal: No Solution
Exploring Operation: 14+89=103, Resulting Numbers: [103]
103,32 unequal: No Solution
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,32 unequal: No Solution
Moving to Node #0,3,1
Current State: 32:[94, 4], Operations: ['70-14=56', '56/14=4']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,32 unequal: No Solution
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,32 unequal: No Solution
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,32 unequal: No Solution
Moving to Node #0,1,3
Current State: 32:[94, 9], Operations: ['70/14=5', '14-5=9']
Exploring Operation: 94*9=846, Resulting Numbers: [846]
846,32 unequal: No Solution
Exploring Operation: 94+9=103, Resulting Numbers: [103]
103,32 unequal: No Solution
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,32 unequal: No Solution
Moving to Node #0,2,2
Current State: 32:[94, 9], Operations: ['70/14=5', '14-5=9']
Exploring Operation: 94*9=846, Resulting Numbers: [846]
846,32 unequal: No Solution
Exploring Operation: 94+9=103, Resulting Numbers: [103]
103,32 unequal: No Solution
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,32 unequal: No Solution
Moving to Node #0,2,3
Current State: 32:[94, 19], Operations: ['70/14=5', '14+5=19']
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,32 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,32 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[94, 19], Operations: ['70/14=5', '14+5=19']
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,32 unequal: No Solution
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,32 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,32 unequal: No Solution
Moving to Node #0,3,3
Current State: 32:[56, 80], Operations: ['70-14=56', '94-14=80']
Exploring Operation: 56+80=136, Resulting Numbers: [136]
136,32 unequal: No Solution
Exploring Operation: 80-56=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 56*80=4480, Resulting Numbers: [4480]
4480,32 unequal: No Solution
Moving to Node #0,3,0
Current State: 32:[94, 42], Operations: ['70-14=56', '56-14=42']
Exploring Operation: 94*42=3948, Resulting Numbers: [3948]
3948,32 unequal: No Solution
Exploring Operation: 94+42=136, Resulting Numbers: [136]
136,32 unequal: No Solution
Exploring Operation: 94-42=52, Resulting Numbers: [52]
52,32 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
6,
55,
57,
71
] | 79 | [
"55-6=49",
"57+71=128",
"128-49=79"
] | Current State: 79:[6, 55, 57, 71], Operations: []
Exploring Operation: 55-6=49, Resulting Numbers: [57, 71, 49]
Generated Node #2: [57, 71, 49] from Operation: 55-6=49
Current State: 79:[57, 71, 49], Operations: ['55-6=49']
Exploring Operation: 57+71=128, Resulting Numbers: [49, 128]
Generated Node #3: [49, 128] from Operation: 57+71=128
Current State: 79:[49, 128], Operations: ['55-6=49', '57+71=128']
Exploring Operation: 128-49=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[6, 55, 57, 71], Operations: []
Exploring Operation: 6+57=63, Resulting Numbers: [55, 71, 63]
Generated Node #0,0: 79:[55, 71, 63] Operation: 6+57=63
Exploring Operation: 6+55=61, Resulting Numbers: [57, 71, 61]
Generated Node #0,1: 79:[57, 71, 61] Operation: 6+55=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[55, 71, 63], Operations: ['6+57=63']
Exploring Operation: 55+63=118, Resulting Numbers: [71, 118]
Generated Node #0,0,0: 79:[71, 118] Operation: 55+63=118
Exploring Operation: 55+71=126, Resulting Numbers: [63, 126]
Generated Node #0,0,1: 79:[63, 126] Operation: 55+71=126
Moving to Node #0,0,0
Current State: 79:[71, 118], Operations: ['6+57=63', '55+63=118']
Exploring Operation: 118-71=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 71+118=189, Resulting Numbers: [189]
189,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[63, 126], Operations: ['6+57=63', '55+71=126']
Exploring Operation: 126-63=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 126/63=2, Resulting Numbers: [2]
2,79 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:[57, 71, 61], Operations: ['6+55=61']
Exploring Operation: 57+61=118, Resulting Numbers: [71, 118]
Generated Node #0,1,0: 79:[71, 118] Operation: 57+61=118
Exploring Operation: 57+71=128, Resulting Numbers: [61, 128]
Generated Node #0,1,1: 79:[61, 128] Operation: 57+71=128
Moving to Node #0,1,0
Current State: 79:[71, 118], Operations: ['6+55=61', '57+61=118']
Exploring Operation: 118-71=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 71+118=189, Resulting Numbers: [189]
189,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[61, 128], Operations: ['6+55=61', '57+71=128']
Exploring Operation: 128-61=67, Resulting Numbers: [67]
67,79 unequal: No Solution
Exploring Operation: 61+128=189, Resulting Numbers: [189]
189,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
36,
66,
95,
51
] | 44 | [
"36+66=102",
"95+51=146",
"146-102=44"
] | Current State: 44:[36, 66, 95, 51], Operations: []
Exploring Operation: 36+66=102, Resulting Numbers: [95, 51, 102]
Generated Node #2: [95, 51, 102] from Operation: 36+66=102
Current State: 44:[95, 51, 102], Operations: ['36+66=102']
Exploring Operation: 95+51=146, Resulting Numbers: [102, 146]
Generated Node #3: [102, 146] from Operation: 95+51=146
Current State: 44:[102, 146], Operations: ['36+66=102', '95+51=146']
Exploring Operation: 146-102=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[36, 66, 95, 51], Operations: []
Exploring Operation: 95-51=44, Resulting Numbers: [36, 66, 44]
Generated Node #0,0: 44:[36, 66, 44] Operation: 95-51=44
Exploring Operation: 95-36=59, Resulting Numbers: [66, 51, 59]
Generated Node #0,1: 44:[66, 51, 59] Operation: 95-36=59
Exploring Operation: 95-66=29, Resulting Numbers: [36, 51, 29]
Generated Node #0,2: 44:[36, 51, 29] Operation: 95-66=29
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[36, 51, 29], Operations: ['95-66=29']
Exploring Operation: 51-36=15, Resulting Numbers: [29, 15]
Generated Node #0,2,0: 44:[29, 15] Operation: 51-36=15
Exploring Operation: 51-29=22, Resulting Numbers: [36, 22]
Generated Node #0,2,1: 44:[36, 22] Operation: 51-29=22
Exploring Operation: 36-29=7, Resulting Numbers: [51, 7]
Generated Node #0,2,2: 44:[51, 7] Operation: 36-29=7
Moving to Node #0,2,1
Current State: 44:[36, 22], Operations: ['95-66=29', '51-29=22']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,44 unequal: No Solution
Exploring Operation: 36*22=792, Resulting Numbers: [792]
792,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[51, 7], Operations: ['95-66=29', '36-29=7']
Exploring Operation: 51*7=357, Resulting Numbers: [357]
357,44 unequal: No Solution
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,44 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[36, 66, 95, 51], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [36, 51, 29]
Generated Node #0,2: 44:[36, 51, 29] Operation: 95-66=29
Moving to Node #0,2
Current State: 44:[36, 51, 29], Operations: ['95-66=29']
Exploring Operation: 36-29=7, Resulting Numbers: [51, 7]
Generated Node #0,2,2: 44:[51, 7] Operation: 36-29=7
Moving to Node #0,2,2
Current State: 44:[51, 7], Operations: ['95-66=29', '36-29=7']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
13,
8,
21,
18
] | 97 | [
"18-13=5",
"21*5=105",
"105-8=97"
] | Current State: 97:[13, 8, 21, 18], Operations: []
Exploring Operation: 18-13=5, Resulting Numbers: [8, 21, 5]
Generated Node #2: [8, 21, 5] from Operation: 18-13=5
Current State: 97:[8, 21, 5], Operations: ['18-13=5']
Exploring Operation: 21*5=105, Resulting Numbers: [8, 105]
Generated Node #3: [8, 105] from Operation: 21*5=105
Current State: 97:[8, 105], Operations: ['18-13=5', '21*5=105']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[13, 8, 21, 18], Operations: []
Exploring Operation: 13+8=21, Resulting Numbers: [21, 18, 21]
Generated Node #0,0: 97:[21, 18, 21] Operation: 13+8=21
Exploring Operation: 13*8=104, Resulting Numbers: [21, 18, 104]
Generated Node #0,1: 97:[21, 18, 104] Operation: 13*8=104
Exploring Operation: 13+21=34, Resulting Numbers: [8, 18, 34]
Generated Node #0,2: 97:[8, 18, 34] Operation: 13+21=34
Exploring Operation: 8*18=144, Resulting Numbers: [13, 21, 144]
Generated Node #0,3: 97:[13, 21, 144] Operation: 8*18=144
Moving to Node #0,1
Current State: 97:[21, 18, 104], Operations: ['13*8=104']
Exploring Operation: 21+18=39, Resulting Numbers: [104, 39]
Generated Node #0,1,0: 97:[104, 39] Operation: 21+18=39
Exploring Operation: 21-18=3, Resulting Numbers: [104, 3]
Generated Node #0,1,1: 97:[104, 3] Operation: 21-18=3
Exploring Operation: 104-18=86, Resulting Numbers: [21, 86]
Generated Node #0,1,2: 97:[21, 86] Operation: 104-18=86
Exploring Operation: 104-21=83, Resulting Numbers: [18, 83]
Generated Node #0,1,3: 97:[18, 83] Operation: 104-21=83
Moving to Node #0,3
Current State: 97:[13, 21, 144], Operations: ['8*18=144']
Exploring Operation: 21-13=8, Resulting Numbers: [144, 8]
Generated Node #0,3,0: 97:[144, 8] Operation: 21-13=8
Exploring Operation: 144-13=131, Resulting Numbers: [21, 131]
Generated Node #0,3,1: 97:[21, 131] Operation: 144-13=131
Exploring Operation: 144-21=123, Resulting Numbers: [13, 123]
Generated Node #0,3,2: 97:[13, 123] Operation: 144-21=123
Exploring Operation: 13+21=34, Resulting Numbers: [144, 34]
Generated Node #0,3,3: 97:[144, 34] Operation: 13+21=34
Moving to Node #0,2
Current State: 97:[8, 18, 34], Operations: ['13+21=34']
Exploring Operation: 8+34=42, Resulting Numbers: [18, 42]
Generated Node #0,2,0: 97:[18, 42] Operation: 8+34=42
Exploring Operation: 8+18=26, Resulting Numbers: [34, 26]
Generated Node #0,2,1: 97:[34, 26] Operation: 8+18=26
Exploring Operation: 8*18=144, Resulting Numbers: [34, 144]
Generated Node #0,2,2: 97:[34, 144] Operation: 8*18=144
Exploring Operation: 18+34=52, Resulting Numbers: [8, 52]
Generated Node #0,2,3: 97:[8, 52] Operation: 18+34=52
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[34, 144], Operations: ['13+21=34', '8*18=144']
Exploring Operation: 34+144=178, Resulting Numbers: [178]
178,97 unequal: No Solution
Exploring Operation: 34*144=4896, Resulting Numbers: [4896]
4896,97 unequal: No Solution
Exploring Operation: 144-34=110, Resulting Numbers: [110]
110,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 97:[18, 42], Operations: ['13+21=34', '8+34=42']
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,97 unequal: No Solution
Exploring Operation: 18*42=756, Resulting Numbers: [756]
756,97 unequal: No Solution
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,97 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 #0,2,1
Current State: 97:[34, 26], Operations: ['13+21=34', '8+18=26']
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,97 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,97 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 #0,2,3
Current State: 97:[8, 52], Operations: ['13+21=34', '18+34=52']
Exploring Operation: 8*52=416, Resulting Numbers: [416]
416,97 unequal: No Solution
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,97 unequal: No Solution
Exploring Operation: 8+52=60, Resulting Numbers: [60]
60,97 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: 97:[21, 18, 21], Operations: ['13+8=21']
Exploring Operation: 21-18=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0: 97:[21, 3] Operation: 21-18=3
Exploring Operation: 21+18=39, Resulting Numbers: [21, 39]
Generated Node #0,0,1: 97:[21, 39] Operation: 21+18=39
Exploring Operation: 21+21=42, Resulting Numbers: [18, 42]
Generated Node #0,0,2: 97:[18, 42] Operation: 21+21=42
Exploring Operation: 18+21=39, Resulting Numbers: [21, 39]
Generated Node #0,0,3: 97:[21, 39] Operation: 18+21=39
Moving to Node #0,1,0
Current State: 97:[104, 39], Operations: ['13*8=104', '21+18=39']
Exploring Operation: 104*39=4056, Resulting Numbers: [4056]
4056,97 unequal: No Solution
Exploring Operation: 104+39=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 104-39=65, Resulting Numbers: [65]
65,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[21, 86], Operations: ['13*8=104', '104-18=86']
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,97 unequal: No Solution
Exploring Operation: 21*86=1806, Resulting Numbers: [1806]
1806,97 unequal: No Solution
Exploring Operation: 21+86=107, Resulting Numbers: [107]
107,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[18, 83], Operations: ['13*8=104', '104-21=83']
Exploring Operation: 18*83=1494, Resulting Numbers: [1494]
1494,97 unequal: No Solution
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,97 unequal: No Solution
Exploring Operation: 18+83=101, Resulting Numbers: [101]
101,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[104, 3], Operations: ['13*8=104', '21-18=3']
Exploring Operation: 104*3=312, Resulting Numbers: [312]
312,97 unequal: No Solution
Exploring Operation: 104-3=101, Resulting Numbers: [101]
101,97 unequal: No Solution
Exploring Operation: 104+3=107, Resulting Numbers: [107]
107,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[144, 34], Operations: ['8*18=144', '13+21=34']
Exploring Operation: 144-34=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Exploring Operation: 144*34=4896, Resulting Numbers: [4896]
4896,97 unequal: No Solution
Exploring Operation: 144+34=178, Resulting Numbers: [178]
178,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[13, 123], Operations: ['8*18=144', '144-21=123']
Exploring Operation: 13*123=1599, Resulting Numbers: [1599]
1599,97 unequal: No Solution
Exploring Operation: 13+123=136, Resulting Numbers: [136]
136,97 unequal: No Solution
Exploring Operation: 123-13=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[21, 131], Operations: ['8*18=144', '144-13=131']
Exploring Operation: 131-21=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Exploring Operation: 21*131=2751, Resulting Numbers: [2751]
2751,97 unequal: No Solution
Exploring Operation: 21+131=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[21, 39], Operations: ['13+8=21', '18+21=39']
Exploring Operation: 21+39=60, Resulting Numbers: [60]
60,97 unequal: No Solution
Exploring Operation: 21*39=819, Resulting Numbers: [819]
819,97 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[18, 42], Operations: ['13+8=21', '21+21=42']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,97 unequal: No Solution
Exploring Operation: 18*42=756, Resulting Numbers: [756]
756,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[21, 39], Operations: ['13+8=21', '21+18=39']
Exploring Operation: 21*39=819, Resulting Numbers: [819]
819,97 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,97 unequal: No Solution
Exploring Operation: 21+39=60, Resulting Numbers: [60]
60,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[144, 8], Operations: ['8*18=144', '21-13=8']
Exploring Operation: 144/8=18, Resulting Numbers: [18]
18,97 unequal: No Solution
Exploring Operation: 144+8=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Exploring Operation: 144-8=136, Resulting Numbers: [136]
136,97 unequal: No Solution
Exploring Operation: 144*8=1152, Resulting Numbers: [1152]
1152,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[21, 3], Operations: ['13+8=21', '21-18=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,97 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,97 unequal: No Solution
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,97 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
13,
13,
12,
86
] | 99 | [
"13/13=1",
"12+86=98",
"1+98=99"
] | Current State: 99:[13, 13, 12, 86], Operations: []
Exploring Operation: 13/13=1, Resulting Numbers: [12, 86, 1]
Generated Node #2: [12, 86, 1] from Operation: 13/13=1
Current State: 99:[12, 86, 1], Operations: ['13/13=1']
Exploring Operation: 12+86=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 12+86=98
Current State: 99:[1, 98], Operations: ['13/13=1', '12+86=98']
Exploring Operation: 1+98=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[13, 13, 12, 86], Operations: []
Exploring Operation: 13+86=99, Resulting Numbers: [13, 12, 99]
Generated Node #0,0: 99:[13, 12, 99] Operation: 13+86=99
Exploring Operation: 12+86=98, Resulting Numbers: [13, 13, 98]
Generated Node #0,1: 99:[13, 13, 98] Operation: 12+86=98
Exploring Operation: 13/13=1, Resulting Numbers: [12, 86, 1]
Generated Node #0,2: 99:[12, 86, 1] Operation: 13/13=1
Exploring Operation: 13+86=99, Resulting Numbers: [13, 12, 99]
Generated Node #0,3: 99:[13, 12, 99] Operation: 13+86=99
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[13, 12, 99], Operations: ['13+86=99']
Exploring Operation: 13+12=25, Resulting Numbers: [99, 25]
Generated Node #0,0,0: 99:[99, 25] Operation: 13+12=25
Exploring Operation: 99-13=86, Resulting Numbers: [12, 86]
Generated Node #0,0,1: 99:[12, 86] Operation: 99-13=86
Exploring Operation: 13+99=112, Resulting Numbers: [12, 112]
Generated Node #0,0,2: 99:[12, 112] Operation: 13+99=112
Exploring Operation: 13-12=1, Resulting Numbers: [99, 1]
Generated Node #0,0,3: 99:[99, 1] Operation: 13-12=1
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 99:[99, 1], Operations: ['13+86=99', '13-12=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[13, 13, 12, 86], Operations: []
Exploring Operation: 13+86=99, Resulting Numbers: [13, 12, 99]
Generated Node #0,0: 99:[13, 12, 99] Operation: 13+86=99
Moving to Node #0,0
Current State: 99:[13, 12, 99], Operations: ['13+86=99']
Exploring Operation: 13-12=1, Resulting Numbers: [99, 1]
Generated Node #0,0,3: 99:[99, 1] Operation: 13-12=1
Moving to Node #0,0,3
Current State: 99:[99, 1], Operations: ['13+86=99', '13-12=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
12,
96,
33,
48
] | 23 | [
"96/12=8",
"48-33=15",
"8+15=23"
] | Current State: 23:[12, 96, 33, 48], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [33, 48, 8]
Generated Node #2: [33, 48, 8] from Operation: 96/12=8
Current State: 23:[33, 48, 8], Operations: ['96/12=8']
Exploring Operation: 48-33=15, Resulting Numbers: [8, 15]
Generated Node #3: [8, 15] from Operation: 48-33=15
Current State: 23:[8, 15], Operations: ['96/12=8', '48-33=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[12, 96, 33, 48], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [12, 33, 2]
Generated Node #0,0: 23:[12, 33, 2] Operation: 96/48=2
Exploring Operation: 96-48=48, Resulting Numbers: [12, 33, 48]
Generated Node #0,1: 23:[12, 33, 48] Operation: 96-48=48
Exploring Operation: 96/12=8, Resulting Numbers: [33, 48, 8]
Generated Node #0,2: 23:[33, 48, 8] Operation: 96/12=8
Exploring Operation: 96-33=63, Resulting Numbers: [12, 48, 63]
Generated Node #0,3: 23:[12, 48, 63] Operation: 96-33=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[12, 33, 2], Operations: ['96/48=2']
Exploring Operation: 33-12=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 23:[2, 21] Operation: 33-12=21
Exploring Operation: 12*2=24, Resulting Numbers: [33, 24]
Generated Node #0,0,1: 23:[33, 24] Operation: 12*2=24
Exploring Operation: 33-2=31, Resulting Numbers: [12, 31]
Generated Node #0,0,2: 23:[12, 31] Operation: 33-2=31
Exploring Operation: 12+2=14, Resulting Numbers: [33, 14]
Generated Node #0,0,3: 23:[33, 14] Operation: 12+2=14
Moving to Node #0,0,1
Current State: 23:[33, 24], Operations: ['96/48=2', '12*2=24']
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[33, 14], Operations: ['96/48=2', '12+2=14']
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,23 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,23 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[12, 31], Operations: ['96/48=2', '33-2=31']
Exploring Operation: 12+31=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 12*31=372, Resulting Numbers: [372]
372,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[2, 21], Operations: ['96/48=2', '33-12=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[12, 96, 33, 48], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [12, 33, 2]
Generated Node #0,0: 23:[12, 33, 2] Operation: 96/48=2
Moving to Node #0,0
Current State: 23:[12, 33, 2], Operations: ['96/48=2']
Exploring Operation: 33-12=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 23:[2, 21] Operation: 33-12=21
Moving to Node #0,0,0
Current State: 23:[2, 21], Operations: ['96/48=2', '33-12=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
27,
49,
40,
35
] | 86 | [
"40-35=5",
"27*5=135",
"135-49=86"
] | Current State: 86:[27, 49, 40, 35], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [27, 49, 5]
Generated Node #2: [27, 49, 5] from Operation: 40-35=5
Current State: 86:[27, 49, 5], Operations: ['40-35=5']
Exploring Operation: 27*5=135, Resulting Numbers: [49, 135]
Generated Node #3: [49, 135] from Operation: 27*5=135
Current State: 86:[49, 135], Operations: ['40-35=5', '27*5=135']
Exploring Operation: 135-49=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[27, 49, 40, 35], Operations: []
Exploring Operation: 49+35=84, Resulting Numbers: [27, 40, 84]
Generated Node #0,0: 86:[27, 40, 84] Operation: 49+35=84
Exploring Operation: 40-27=13, Resulting Numbers: [49, 35, 13]
Generated Node #0,1: 86:[49, 35, 13] Operation: 40-27=13
Exploring Operation: 40-35=5, Resulting Numbers: [27, 49, 5]
Generated Node #0,2: 86:[27, 49, 5] Operation: 40-35=5
Exploring Operation: 35-27=8, Resulting Numbers: [49, 40, 8]
Generated Node #0,3: 86:[49, 40, 8] Operation: 35-27=8
Exploring Operation: 27+49=76, Resulting Numbers: [40, 35, 76]
Generated Node #0,4: 86:[40, 35, 76] Operation: 27+49=76
Moving to Node #0,3
Current State: 86:[49, 40, 8], Operations: ['35-27=8']
Exploring Operation: 40/8=5, Resulting Numbers: [49, 5]
Generated Node #0,3,0: 86:[49, 5] Operation: 40/8=5
Exploring Operation: 40+8=48, Resulting Numbers: [49, 48]
Generated Node #0,3,1: 86:[49, 48] Operation: 40+8=48
Exploring Operation: 49-8=41, Resulting Numbers: [40, 41]
Generated Node #0,3,2: 86:[40, 41] Operation: 49-8=41
Exploring Operation: 49+40=89, Resulting Numbers: [8, 89]
Generated Node #0,3,3: 86:[8, 89] Operation: 49+40=89
Exploring Operation: 49-40=9, Resulting Numbers: [8, 9]
Generated Node #0,3,4: 86:[8, 9] Operation: 49-40=9
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 86:[40, 41], Operations: ['35-27=8', '49-8=41']
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 40+41=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 40*41=1640, Resulting Numbers: [1640]
1640,86 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 #0,3,0
Current State: 86:[49, 5], Operations: ['35-27=8', '40/8=5']
Exploring Operation: 49*5=245, Resulting Numbers: [245]
245,86 unequal: No Solution
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,86 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 #0,3,3
Current State: 86:[8, 89], Operations: ['35-27=8', '49+40=89']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 8+89=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Exploring Operation: 8*89=712, Resulting Numbers: [712]
712,86 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 #0,3,1
Current State: 86:[49, 48], Operations: ['35-27=8', '40+8=48']
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 49*48=2352, Resulting Numbers: [2352]
2352,86 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 #0,3,4
Current State: 86:[8, 9], Operations: ['35-27=8', '49-40=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,86 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,86 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: 86:[40, 35, 76], Operations: ['27+49=76']
Exploring Operation: 40-35=5, Resulting Numbers: [76, 5]
Generated Node #0,4,0: 86:[76, 5] Operation: 40-35=5
Exploring Operation: 76-40=36, Resulting Numbers: [35, 36]
Generated Node #0,4,1: 86:[35, 36] Operation: 76-40=36
Exploring Operation: 76-35=41, Resulting Numbers: [40, 41]
Generated Node #0,4,2: 86:[40, 41] Operation: 76-35=41
Exploring Operation: 40+35=75, Resulting Numbers: [76, 75]
Generated Node #0,4,3: 86:[76, 75] Operation: 40+35=75
Exploring Operation: 35+76=111, Resulting Numbers: [40, 111]
Generated Node #0,4,4: 86:[40, 111] Operation: 35+76=111
Moving to Node #0,0
Current State: 86:[27, 40, 84], Operations: ['49+35=84']
Exploring Operation: 27+40=67, Resulting Numbers: [84, 67]
Generated Node #0,0,0: 86:[84, 67] Operation: 27+40=67
Exploring Operation: 40-27=13, Resulting Numbers: [84, 13]
Generated Node #0,0,1: 86:[84, 13] Operation: 40-27=13
Exploring Operation: 84-27=57, Resulting Numbers: [40, 57]
Generated Node #0,0,2: 86:[40, 57] Operation: 84-27=57
Exploring Operation: 27+84=111, Resulting Numbers: [40, 111]
Generated Node #0,0,3: 86:[40, 111] Operation: 27+84=111
Exploring Operation: 84-40=44, Resulting Numbers: [27, 44]
Generated Node #0,0,4: 86:[27, 44] Operation: 84-40=44
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[84, 13], Operations: ['49+35=84', '40-27=13']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Exploring Operation: 84*13=1092, Resulting Numbers: [1092]
1092,86 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 #0,0,2
Current State: 86:[40, 57], Operations: ['49+35=84', '84-27=57']
Exploring Operation: 40*57=2280, Resulting Numbers: [2280]
2280,86 unequal: No Solution
Exploring Operation: 57-40=17, Resulting Numbers: [17]
17,86 unequal: No Solution
Exploring Operation: 40+57=97, Resulting Numbers: [97]
97,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 86:[27, 44], Operations: ['49+35=84', '84-40=44']
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,86 unequal: No Solution
Exploring Operation: 27*44=1188, Resulting Numbers: [1188]
1188,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[84, 67], Operations: ['49+35=84', '27+40=67']
Exploring Operation: 84+67=151, Resulting Numbers: [151]
151,86 unequal: No Solution
Exploring Operation: 84*67=5628, Resulting Numbers: [5628]
5628,86 unequal: No Solution
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 86:[40, 111], Operations: ['49+35=84', '27+84=111']
Exploring Operation: 111-40=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 40*111=4440, Resulting Numbers: [4440]
4440,86 unequal: No Solution
Exploring Operation: 40+111=151, Resulting Numbers: [151]
151,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 86:[49, 35, 13], Operations: ['40-27=13']
Exploring Operation: 49-13=36, Resulting Numbers: [35, 36]
Generated Node #0,1,0: 86:[35, 36] Operation: 49-13=36
Exploring Operation: 35+13=48, Resulting Numbers: [49, 48]
Generated Node #0,1,1: 86:[49, 48] Operation: 35+13=48
Exploring Operation: 49-35=14, Resulting Numbers: [13, 14]
Generated Node #0,1,2: 86:[13, 14] Operation: 49-35=14
Exploring Operation: 49+35=84, Resulting Numbers: [13, 84]
Generated Node #0,1,3: 86:[13, 84] Operation: 49+35=84
Exploring Operation: 35-13=22, Resulting Numbers: [49, 22]
Generated Node #0,1,4: 86:[49, 22] Operation: 35-13=22
Moving to Node #0,2
Current State: 86:[27, 49, 5], Operations: ['40-35=5']
Exploring Operation: 49-5=44, Resulting Numbers: [27, 44]
Generated Node #0,2,0: 86:[27, 44] Operation: 49-5=44
Exploring Operation: 27-5=22, Resulting Numbers: [49, 22]
Generated Node #0,2,1: 86:[49, 22] Operation: 27-5=22
Exploring Operation: 49-27=22, Resulting Numbers: [5, 22]
Generated Node #0,2,2: 86:[5, 22] Operation: 49-27=22
Exploring Operation: 27+49=76, Resulting Numbers: [5, 76]
Generated Node #0,2,3: 86:[5, 76] Operation: 27+49=76
Exploring Operation: 27+5=32, Resulting Numbers: [49, 32]
Generated Node #0,2,4: 86:[49, 32] Operation: 27+5=32
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 86:[5, 76], Operations: ['40-35=5', '27+49=76']
Exploring Operation: 5*76=380, Resulting Numbers: [380]
380,86 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 5+76=81, Resulting Numbers: [81]
81,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 86:[27, 44], Operations: ['40-35=5', '49-5=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,86 unequal: No Solution
Exploring Operation: 27*44=1188, Resulting Numbers: [1188]
1188,86 unequal: No Solution
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 86:[49, 32], Operations: ['40-35=5', '27+5=32']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,86 unequal: No Solution
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,86 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[5, 22], Operations: ['40-35=5', '49-27=22']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,86 unequal: No Solution
Exploring Operation: 5*22=110, Resulting Numbers: [110]
110,86 unequal: No Solution
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,86 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 #0,2,1
Current State: 86:[49, 22], Operations: ['40-35=5', '27-5=22']
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 49*22=1078, Resulting Numbers: [1078]
1078,86 unequal: No Solution
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 86:[40, 41], Operations: ['27+49=76', '76-35=41']
Exploring Operation: 40*41=1640, Resulting Numbers: [1640]
1640,86 unequal: No Solution
Exploring Operation: 40+41=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[49, 48], Operations: ['40-27=13', '35+13=48']
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Exploring Operation: 49*48=2352, Resulting Numbers: [2352]
2352,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[13, 84], Operations: ['40-27=13', '49+35=84']
Exploring Operation: 13+84=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Exploring Operation: 13*84=1092, Resulting Numbers: [1092]
1092,86 unequal: No Solution
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Moving to Node #0,4,0
Current State: 86:[76, 5], Operations: ['27+49=76', '40-35=5']
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 76*5=380, Resulting Numbers: [380]
380,86 unequal: No Solution
Moving to Node #0,4,1
Current State: 86:[35, 36], Operations: ['27+49=76', '76-40=36']
Exploring Operation: 35*36=1260, Resulting Numbers: [1260]
1260,86 unequal: No Solution
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[35, 36], Operations: ['40-27=13', '49-13=36']
Exploring Operation: 35*36=1260, Resulting Numbers: [1260]
1260,86 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Moving to Node #0,4,3
Current State: 86:[76, 75], Operations: ['27+49=76', '40+35=75']
Exploring Operation: 76*75=5700, Resulting Numbers: [5700]
5700,86 unequal: No Solution
Exploring Operation: 76+75=151, Resulting Numbers: [151]
151,86 unequal: No Solution
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[13, 14], Operations: ['40-27=13', '49-35=14']
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,86 unequal: No Solution
Moving to Node #0,1,4
Current State: 86:[49, 22], Operations: ['40-27=13', '35-13=22']
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 49*22=1078, Resulting Numbers: [1078]
1078,86 unequal: No Solution
Moving to Node #0,4,4
Current State: 86:[40, 111], Operations: ['27+49=76', '35+76=111']
Exploring Operation: 40*111=4440, Resulting Numbers: [4440]
4440,86 unequal: No Solution
Exploring Operation: 111-40=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 40+111=151, Resulting Numbers: [151]
151,86 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
20,
32,
41,
24
] | 52 | [
"20*41=820",
"32*24=768",
"820-768=52"
] | Current State: 52:[20, 32, 41, 24], Operations: []
Exploring Operation: 20*41=820, Resulting Numbers: [32, 24, 820]
Generated Node #2: [32, 24, 820] from Operation: 20*41=820
Current State: 52:[32, 24, 820], Operations: ['20*41=820']
Exploring Operation: 32*24=768, Resulting Numbers: [820, 768]
Generated Node #3: [820, 768] from Operation: 32*24=768
Current State: 52:[820, 768], Operations: ['20*41=820', '32*24=768']
Exploring Operation: 820-768=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[20, 32, 41, 24], Operations: []
Exploring Operation: 41-32=9, Resulting Numbers: [20, 24, 9]
Generated Node #0,0: 52:[20, 24, 9] Operation: 41-32=9
Exploring Operation: 41-20=21, Resulting Numbers: [32, 24, 21]
Generated Node #0,1: 52:[32, 24, 21] Operation: 41-20=21
Exploring Operation: 20+32=52, Resulting Numbers: [41, 24, 52]
Generated Node #0,2: 52:[41, 24, 52] Operation: 20+32=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[20, 24, 9], Operations: ['41-32=9']
Exploring Operation: 20+9=29, Resulting Numbers: [24, 29]
Generated Node #0,0,0: 52:[24, 29] Operation: 20+9=29
Exploring Operation: 20-9=11, Resulting Numbers: [24, 11]
Generated Node #0,0,1: 52:[24, 11] Operation: 20-9=11
Exploring Operation: 24-20=4, Resulting Numbers: [9, 4]
Generated Node #0,0,2: 52:[9, 4] Operation: 24-20=4
Moving to Node #0,0,1
Current State: 52:[24, 11], Operations: ['41-32=9', '20-9=11']
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,52 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[9, 4], Operations: ['41-32=9', '24-20=4']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[24, 29], Operations: ['41-32=9', '20+9=29']
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 24*29=696, Resulting Numbers: [696]
696,52 unequal: No Solution
Exploring Operation: 24+29=53, Resulting Numbers: [53]
53,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[32, 24, 21], Operations: ['41-20=21']
Exploring Operation: 24-21=3, Resulting Numbers: [32, 3]
Generated Node #0,1,0: 52:[32, 3] Operation: 24-21=3
Exploring Operation: 32-21=11, Resulting Numbers: [24, 11]
Generated Node #0,1,1: 52:[24, 11] Operation: 32-21=11
Exploring Operation: 32+21=53, Resulting Numbers: [24, 53]
Generated Node #0,1,2: 52:[24, 53] Operation: 32+21=53
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 52:[24, 53], Operations: ['41-20=21', '32+21=53']
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,52 unequal: No Solution
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 24*53=1272, Resulting Numbers: [1272]
1272,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 52:[24, 11], Operations: ['41-20=21', '32-21=11']
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,52 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[32, 3], Operations: ['41-20=21', '24-21=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[41, 24, 52], Operations: ['20+32=52']
Exploring Operation: 52-41=11, Resulting Numbers: [24, 11]
Generated Node #0,2,0: 52:[24, 11] Operation: 52-41=11
Exploring Operation: 41-24=17, Resulting Numbers: [52, 17]
Generated Node #0,2,1: 52:[52, 17] Operation: 41-24=17
Exploring Operation: 41+24=65, Resulting Numbers: [52, 65]
Generated Node #0,2,2: 52:[52, 65] Operation: 41+24=65
Moving to Node #0,2,0
Current State: 52:[24, 11], Operations: ['20+32=52', '52-41=11']
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,52 unequal: No Solution
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[52, 17], Operations: ['20+32=52', '41-24=17']
Exploring Operation: 52*17=884, Resulting Numbers: [884]
884,52 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[52, 65], Operations: ['20+32=52', '41+24=65']
Exploring Operation: 52+65=117, Resulting Numbers: [117]
117,52 unequal: No Solution
Exploring Operation: 52*65=3380, Resulting Numbers: [3380]
3380,52 unequal: No Solution
Exploring Operation: 65-52=13, Resulting Numbers: [13]
13,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
30,
75,
67,
45
] | 63 | [
"75+45=120",
"120/30=4",
"67-4=63"
] | Current State: 63:[30, 75, 67, 45], Operations: []
Exploring Operation: 75+45=120, Resulting Numbers: [30, 67, 120]
Generated Node #2: [30, 67, 120] from Operation: 75+45=120
Current State: 63:[30, 67, 120], Operations: ['75+45=120']
Exploring Operation: 120/30=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 120/30=4
Current State: 63:[67, 4], Operations: ['75+45=120', '120/30=4']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[30, 75, 67, 45], Operations: []
Exploring Operation: 45-30=15, Resulting Numbers: [75, 67, 15]
Generated Node #0,0: 63:[75, 67, 15] Operation: 45-30=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[75, 67, 15], Operations: ['45-30=15']
Exploring Operation: 75/15=5, Resulting Numbers: [67, 5]
Generated Node #0,0,0: 63:[67, 5] Operation: 75/15=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[67, 5], Operations: ['45-30=15', '75/15=5']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
96,
42,
22,
75
] | 41 | [
"96+42=138",
"22+75=97",
"138-97=41"
] | Current State: 41:[96, 42, 22, 75], Operations: []
Exploring Operation: 96+42=138, Resulting Numbers: [22, 75, 138]
Generated Node #2: [22, 75, 138] from Operation: 96+42=138
Current State: 41:[22, 75, 138], Operations: ['96+42=138']
Exploring Operation: 22+75=97, Resulting Numbers: [138, 97]
Generated Node #3: [138, 97] from Operation: 22+75=97
Current State: 41:[138, 97], Operations: ['96+42=138', '22+75=97']
Exploring Operation: 138-97=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[96, 42, 22, 75], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [42, 22, 21]
Generated Node #0,0: 41:[42, 22, 21] Operation: 96-75=21
Exploring Operation: 96-42=54, Resulting Numbers: [22, 75, 54]
Generated Node #0,1: 41:[22, 75, 54] Operation: 96-42=54
Exploring Operation: 96-22=74, Resulting Numbers: [42, 75, 74]
Generated Node #0,2: 41:[42, 75, 74] Operation: 96-22=74
Moving to Node #0,0
Current State: 41:[42, 22, 21], Operations: ['96-75=21']
Exploring Operation: 42-21=21, Resulting Numbers: [22, 21]
Generated Node #0,0,0: 41:[22, 21] Operation: 42-21=21
Exploring Operation: 22+21=43, Resulting Numbers: [42, 43]
Generated Node #0,0,1: 41:[42, 43] Operation: 22+21=43
Exploring Operation: 42-22=20, Resulting Numbers: [21, 20]
Generated Node #0,0,2: 41:[21, 20] Operation: 42-22=20
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[42, 43], Operations: ['96-75=21', '22+21=43']
Exploring Operation: 42*43=1806, Resulting Numbers: [1806]
1806,41 unequal: No Solution
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[22, 21], Operations: ['96-75=21', '42-21=21']
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[21, 20], Operations: ['96-75=21', '42-22=20']
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[96, 42, 22, 75], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [42, 22, 21]
Generated Node #0,0: 41:[42, 22, 21] Operation: 96-75=21
Moving to Node #0,0
Current State: 41:[42, 22, 21], Operations: ['96-75=21']
Exploring Operation: 42-22=20, Resulting Numbers: [21, 20]
Generated Node #0,0,2: 41:[21, 20] Operation: 42-22=20
Moving to Node #0,0,2
Current State: 41:[21, 20], Operations: ['96-75=21', '42-22=20']
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
78,
53,
45,
11
] | 81 | [
"78-53=25",
"45+11=56",
"25+56=81"
] | Current State: 81:[78, 53, 45, 11], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [45, 11, 25]
Generated Node #2: [45, 11, 25] from Operation: 78-53=25
Current State: 81:[45, 11, 25], Operations: ['78-53=25']
Exploring Operation: 45+11=56, Resulting Numbers: [25, 56]
Generated Node #3: [25, 56] from Operation: 45+11=56
Current State: 81:[25, 56], Operations: ['78-53=25', '45+11=56']
Exploring Operation: 25+56=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[78, 53, 45, 11], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [45, 11, 25]
Generated Node #0,0: 81:[45, 11, 25] Operation: 78-53=25
Exploring Operation: 53-45=8, Resulting Numbers: [78, 11, 8]
Generated Node #0,1: 81:[78, 11, 8] Operation: 53-45=8
Exploring Operation: 53+45=98, Resulting Numbers: [78, 11, 98]
Generated Node #0,2: 81:[78, 11, 98] Operation: 53+45=98
Moving to Node #0,1
Current State: 81:[78, 11, 8], Operations: ['53-45=8']
Exploring Operation: 11-8=3, Resulting Numbers: [78, 3]
Generated Node #0,1,0: 81:[78, 3] Operation: 11-8=3
Exploring Operation: 78+8=86, Resulting Numbers: [11, 86]
Generated Node #0,1,1: 81:[11, 86] Operation: 78+8=86
Exploring Operation: 78+11=89, Resulting Numbers: [8, 89]
Generated Node #0,1,2: 81:[8, 89] Operation: 78+11=89
Moving to Node #0,0
Current State: 81:[45, 11, 25], Operations: ['78-53=25']
Exploring Operation: 45-25=20, Resulting Numbers: [11, 20]
Generated Node #0,0,0: 81:[11, 20] Operation: 45-25=20
Exploring Operation: 45+25=70, Resulting Numbers: [11, 70]
Generated Node #0,0,1: 81:[11, 70] Operation: 45+25=70
Exploring Operation: 45-11=34, Resulting Numbers: [25, 34]
Generated Node #0,0,2: 81:[25, 34] Operation: 45-11=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[11, 20], Operations: ['78-53=25', '45-25=20']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,81 unequal: No Solution
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,81 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 #0,0,2
Current State: 81:[25, 34], Operations: ['78-53=25', '45-11=34']
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,81 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,81 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,81 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 #0,0,1
Current State: 81:[11, 70], Operations: ['78-53=25', '45+25=70']
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[78, 53, 45, 11], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [45, 11, 25]
Generated Node #0,0: 81:[45, 11, 25] Operation: 78-53=25
Moving to Node #0,0
Current State: 81:[45, 11, 25], Operations: ['78-53=25']
Exploring Operation: 45+25=70, Resulting Numbers: [11, 70]
Generated Node #0,0,1: 81:[11, 70] Operation: 45+25=70
Moving to Node #0,0,1
Current State: 81:[11, 70], Operations: ['78-53=25', '45+25=70']
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_3 | sum_heuristic |
[
30,
9,
6,
84
] | 35 | [
"30-9=21",
"84/6=14",
"21+14=35"
] | Current State: 35:[30, 9, 6, 84], Operations: []
Exploring Operation: 30-9=21, Resulting Numbers: [6, 84, 21]
Generated Node #2: [6, 84, 21] from Operation: 30-9=21
Current State: 35:[6, 84, 21], Operations: ['30-9=21']
Exploring Operation: 84/6=14, Resulting Numbers: [21, 14]
Generated Node #3: [21, 14] from Operation: 84/6=14
Current State: 35:[21, 14], Operations: ['30-9=21', '84/6=14']
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[30, 9, 6, 84], Operations: []
Exploring Operation: 84-6=78, Resulting Numbers: [30, 9, 78]
Generated Node #0,0: 35:[30, 9, 78] Operation: 84-6=78
Exploring Operation: 84-30=54, Resulting Numbers: [9, 6, 54]
Generated Node #0,1: 35:[9, 6, 54] Operation: 84-30=54
Exploring Operation: 84-9=75, Resulting Numbers: [30, 6, 75]
Generated Node #0,2: 35:[30, 6, 75] Operation: 84-9=75
Exploring Operation: 84/6=14, Resulting Numbers: [30, 9, 14]
Generated Node #0,3: 35:[30, 9, 14] Operation: 84/6=14
Moving to Node #0,3
Current State: 35:[30, 9, 14], Operations: ['84/6=14']
Exploring Operation: 30+9=39, Resulting Numbers: [14, 39]
Generated Node #0,3,0: 35:[14, 39] Operation: 30+9=39
Exploring Operation: 14-9=5, Resulting Numbers: [30, 5]
Generated Node #0,3,1: 35:[30, 5] Operation: 14-9=5
Exploring Operation: 30+14=44, Resulting Numbers: [9, 44]
Generated Node #0,3,2: 35:[9, 44] Operation: 30+14=44
Exploring Operation: 30-14=16, Resulting Numbers: [9, 16]
Generated Node #0,3,3: 35:[9, 16] Operation: 30-14=16
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[30, 5], Operations: ['84/6=14', '14-9=5']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[30, 9, 6, 84], Operations: []
Exploring Operation: 84/6=14, Resulting Numbers: [30, 9, 14]
Generated Node #0,3: 35:[30, 9, 14] Operation: 84/6=14
Moving to Node #0,3
Current State: 35:[30, 9, 14], Operations: ['84/6=14']
Exploring Operation: 14-9=5, Resulting Numbers: [30, 5]
Generated Node #0,3,1: 35:[30, 5] Operation: 14-9=5
Moving to Node #0,3,1
Current State: 35:[30, 5], Operations: ['84/6=14', '14-9=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
33,
27,
36,
58
] | 82 | [
"33+27=60",
"58-36=22",
"60+22=82"
] | Current State: 82:[33, 27, 36, 58], Operations: []
Exploring Operation: 33+27=60, Resulting Numbers: [36, 58, 60]
Generated Node #2: [36, 58, 60] from Operation: 33+27=60
Current State: 82:[36, 58, 60], Operations: ['33+27=60']
Exploring Operation: 58-36=22, Resulting Numbers: [60, 22]
Generated Node #3: [60, 22] from Operation: 58-36=22
Current State: 82:[60, 22], Operations: ['33+27=60', '58-36=22']
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[33, 27, 36, 58], Operations: []
Exploring Operation: 27+58=85, Resulting Numbers: [33, 36, 85]
Generated Node #0,0: 82:[33, 36, 85] Operation: 27+58=85
Moving to Node #0,0
Current State: 82:[33, 36, 85], Operations: ['27+58=85']
Exploring Operation: 36-33=3, Resulting Numbers: [85, 3]
Generated Node #0,0,0: 82:[85, 3] Operation: 36-33=3
Moving to Node #0,0,0
Current State: 82:[85, 3], Operations: ['27+58=85', '36-33=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[33, 27, 36, 58], Operations: []
Exploring Operation: 27+58=85, Resulting Numbers: [33, 36, 85]
Generated Node #0,0: 82:[33, 36, 85] Operation: 27+58=85
Moving to Node #0,0
Current State: 82:[33, 36, 85], Operations: ['27+58=85']
Exploring Operation: 36-33=3, Resulting Numbers: [85, 3]
Generated Node #0,0,0: 82:[85, 3] Operation: 36-33=3
Moving to Node #0,0,0
Current State: 82:[85, 3], Operations: ['27+58=85', '36-33=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
68,
77,
86,
65
] | 30 | [
"77-68=9",
"86-65=21",
"9+21=30"
] | Current State: 30:[68, 77, 86, 65], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [86, 65, 9]
Generated Node #2: [86, 65, 9] from Operation: 77-68=9
Current State: 30:[86, 65, 9], Operations: ['77-68=9']
Exploring Operation: 86-65=21, Resulting Numbers: [9, 21]
Generated Node #3: [9, 21] from Operation: 86-65=21
Current State: 30:[9, 21], Operations: ['77-68=9', '86-65=21']
Exploring Operation: 9+21=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[68, 77, 86, 65], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [86, 65, 9]
Generated Node #0,0: 30:[86, 65, 9] Operation: 77-68=9
Exploring Operation: 86-77=9, Resulting Numbers: [68, 65, 9]
Generated Node #0,1: 30:[68, 65, 9] Operation: 86-77=9
Exploring Operation: 86-65=21, Resulting Numbers: [68, 77, 21]
Generated Node #0,2: 30:[68, 77, 21] Operation: 86-65=21
Exploring Operation: 86-68=18, Resulting Numbers: [77, 65, 18]
Generated Node #0,3: 30:[77, 65, 18] Operation: 86-68=18
Moving to Node #0,1
Current State: 30:[68, 65, 9], Operations: ['86-77=9']
Exploring Operation: 68-9=59, Resulting Numbers: [65, 59]
Generated Node #0,1,0: 30:[65, 59] Operation: 68-9=59
Exploring Operation: 68-65=3, Resulting Numbers: [9, 3]
Generated Node #0,1,1: 30:[9, 3] Operation: 68-65=3
Exploring Operation: 68+9=77, Resulting Numbers: [65, 77]
Generated Node #0,1,2: 30:[65, 77] Operation: 68+9=77
Exploring Operation: 65-9=56, Resulting Numbers: [68, 56]
Generated Node #0,1,3: 30:[68, 56] Operation: 65-9=56
Moving to Node #0,3
Current State: 30:[77, 65, 18], Operations: ['86-68=18']
Exploring Operation: 65-18=47, Resulting Numbers: [77, 47]
Generated Node #0,3,0: 30:[77, 47] Operation: 65-18=47
Exploring Operation: 77-65=12, Resulting Numbers: [18, 12]
Generated Node #0,3,1: 30:[18, 12] Operation: 77-65=12
Exploring Operation: 77+18=95, Resulting Numbers: [65, 95]
Generated Node #0,3,2: 30:[65, 95] Operation: 77+18=95
Exploring Operation: 77-18=59, Resulting Numbers: [65, 59]
Generated Node #0,3,3: 30:[65, 59] Operation: 77-18=59
Moving to Node #0,2
Current State: 30:[68, 77, 21], Operations: ['86-65=21']
Exploring Operation: 68+21=89, Resulting Numbers: [77, 89]
Generated Node #0,2,0: 30:[77, 89] Operation: 68+21=89
Exploring Operation: 68-21=47, Resulting Numbers: [77, 47]
Generated Node #0,2,1: 30:[77, 47] Operation: 68-21=47
Exploring Operation: 77-68=9, Resulting Numbers: [21, 9]
Generated Node #0,2,2: 30:[21, 9] Operation: 77-68=9
Exploring Operation: 77-21=56, Resulting Numbers: [68, 56]
Generated Node #0,2,3: 30:[68, 56] Operation: 77-21=56
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 30:[21, 9], Operations: ['86-65=21', '77-68=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 21*9=189, Resulting Numbers: [189]
189,30 unequal: No Solution
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[68, 77, 86, 65], Operations: []
Exploring Operation: 86-65=21, Resulting Numbers: [68, 77, 21]
Generated Node #0,2: 30:[68, 77, 21] Operation: 86-65=21
Moving to Node #0,2
Current State: 30:[68, 77, 21], Operations: ['86-65=21']
Exploring Operation: 77-68=9, Resulting Numbers: [21, 9]
Generated Node #0,2,2: 30:[21, 9] Operation: 77-68=9
Moving to Node #0,2,2
Current State: 30:[21, 9], Operations: ['86-65=21', '77-68=9']
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | mult_heuristic |
[
11,
3,
10,
40
] | 15 | [
"11-3=8",
"40/8=5",
"10+5=15"
] | Current State: 15:[11, 3, 10, 40], Operations: []
Exploring Operation: 11-3=8, Resulting Numbers: [10, 40, 8]
Generated Node #2: [10, 40, 8] from Operation: 11-3=8
Current State: 15:[10, 40, 8], Operations: ['11-3=8']
Exploring Operation: 40/8=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 40/8=5
Current State: 15:[10, 5], Operations: ['11-3=8', '40/8=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[11, 3, 10, 40], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [11, 3, 4]
Generated Node #0,0: 15:[11, 3, 4] Operation: 40/10=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[11, 3, 4], Operations: ['40/10=4']
Exploring Operation: 11+4=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 15:[3, 15] Operation: 11+4=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[3, 15], Operations: ['40/10=4', '11+4=15']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
25,
91,
57,
82
] | 91 | [
"25+91=116",
"82-57=25",
"116-25=91"
] | Current State: 91:[25, 91, 57, 82], Operations: []
Exploring Operation: 25+91=116, Resulting Numbers: [57, 82, 116]
Generated Node #2: [57, 82, 116] from Operation: 25+91=116
Current State: 91:[57, 82, 116], Operations: ['25+91=116']
Exploring Operation: 82-57=25, Resulting Numbers: [116, 25]
Generated Node #3: [116, 25] from Operation: 82-57=25
Current State: 91:[116, 25], Operations: ['25+91=116', '82-57=25']
Exploring Operation: 116-25=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[25, 91, 57, 82], Operations: []
Exploring Operation: 25+57=82, Resulting Numbers: [91, 82, 82]
Generated Node #0,0: 91:[91, 82, 82] Operation: 25+57=82
Exploring Operation: 82-57=25, Resulting Numbers: [25, 91, 25]
Generated Node #0,1: 91:[25, 91, 25] Operation: 82-57=25
Moving to Node #0,0
Current State: 91:[91, 82, 82], Operations: ['25+57=82']
Exploring Operation: 82-82=0, Resulting Numbers: [91, 0]
Generated Node #0,0,0: 91:[91, 0] Operation: 82-82=0
Exploring Operation: 82/82=1, Resulting Numbers: [91, 1]
Generated Node #0,0,1: 91:[91, 1] Operation: 82/82=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[91, 1], Operations: ['25+57=82', '82/82=1']
Exploring Operation: 91/1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[25, 91, 57, 82], Operations: []
Exploring Operation: 25+57=82, Resulting Numbers: [91, 82, 82]
Generated Node #0,0: 91:[91, 82, 82] Operation: 25+57=82
Moving to Node #0,0
Current State: 91:[91, 82, 82], Operations: ['25+57=82']
Exploring Operation: 82/82=1, Resulting Numbers: [91, 1]
Generated Node #0,0,1: 91:[91, 1] Operation: 82/82=1
Moving to Node #0,0,1
Current State: 91:[91, 1], Operations: ['25+57=82', '82/82=1']
Exploring Operation: 91/1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
82,
15,
23,
97
] | 53 | [
"82-15=67",
"23+97=120",
"120-67=53"
] | Current State: 53:[82, 15, 23, 97], Operations: []
Exploring Operation: 82-15=67, Resulting Numbers: [23, 97, 67]
Generated Node #2: [23, 97, 67] from Operation: 82-15=67
Current State: 53:[23, 97, 67], Operations: ['82-15=67']
Exploring Operation: 23+97=120, Resulting Numbers: [67, 120]
Generated Node #3: [67, 120] from Operation: 23+97=120
Current State: 53:[67, 120], Operations: ['82-15=67', '23+97=120']
Exploring Operation: 120-67=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[82, 15, 23, 97], Operations: []
Exploring Operation: 82-23=59, Resulting Numbers: [15, 97, 59]
Generated Node #0,0: 53:[15, 97, 59] Operation: 82-23=59
Exploring Operation: 97-15=82, Resulting Numbers: [82, 23, 82]
Generated Node #0,1: 53:[82, 23, 82] Operation: 97-15=82
Exploring Operation: 97-23=74, Resulting Numbers: [82, 15, 74]
Generated Node #0,2: 53:[82, 15, 74] Operation: 97-23=74
Exploring Operation: 15+23=38, Resulting Numbers: [82, 97, 38]
Generated Node #0,3: 53:[82, 97, 38] Operation: 15+23=38
Exploring Operation: 82-15=67, Resulting Numbers: [23, 97, 67]
Generated Node #0,4: 53:[23, 97, 67] Operation: 82-15=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[15, 97, 59], Operations: ['82-23=59']
Exploring Operation: 97-59=38, Resulting Numbers: [15, 38]
Generated Node #0,0,0: 53:[15, 38] Operation: 97-59=38
Exploring Operation: 97-15=82, Resulting Numbers: [59, 82]
Generated Node #0,0,1: 53:[59, 82] Operation: 97-15=82
Exploring Operation: 15+59=74, Resulting Numbers: [97, 74]
Generated Node #0,0,2: 53:[97, 74] Operation: 15+59=74
Exploring Operation: 59-15=44, Resulting Numbers: [97, 44]
Generated Node #0,0,3: 53:[97, 44] Operation: 59-15=44
Exploring Operation: 15+97=112, Resulting Numbers: [59, 112]
Generated Node #0,0,4: 53:[59, 112] Operation: 15+97=112
Moving to Node #0,0,1
Current State: 53:[59, 82], Operations: ['82-23=59', '97-15=82']
Exploring Operation: 59+82=141, Resulting Numbers: [141]
141,53 unequal: No Solution
Exploring Operation: 82-59=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Exploring Operation: 59*82=4838, Resulting Numbers: [4838]
4838,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[97, 44], Operations: ['82-23=59', '59-15=44']
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[82, 15, 23, 97], Operations: []
Exploring Operation: 82-23=59, Resulting Numbers: [15, 97, 59]
Generated Node #0,0: 53:[15, 97, 59] Operation: 82-23=59
Moving to Node #0,0
Current State: 53:[15, 97, 59], Operations: ['82-23=59']
Exploring Operation: 59-15=44, Resulting Numbers: [97, 44]
Generated Node #0,0,3: 53:[97, 44] Operation: 59-15=44
Moving to Node #0,0,3
Current State: 53:[97, 44], Operations: ['82-23=59', '59-15=44']
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
24,
88,
75,
9
] | 99 | [
"88-24=64",
"75-64=11",
"9*11=99"
] | Current State: 99:[24, 88, 75, 9], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [75, 9, 64]
Generated Node #2: [75, 9, 64] from Operation: 88-24=64
Current State: 99:[75, 9, 64], Operations: ['88-24=64']
Exploring Operation: 75-64=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 75-64=11
Current State: 99:[9, 11], Operations: ['88-24=64', '75-64=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[24, 88, 75, 9], Operations: []
Exploring Operation: 24+75=99, Resulting Numbers: [88, 9, 99]
Generated Node #0,0: 99:[88, 9, 99] Operation: 24+75=99
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[88, 9, 99], Operations: ['24+75=99']
Exploring Operation: 99-88=11, Resulting Numbers: [9, 11]
Generated Node #0,0,0: 99:[9, 11] Operation: 99-88=11
Moving to Node #0,0,0
Current State: 99:[9, 11], Operations: ['24+75=99', '99-88=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[24, 88, 75, 9], Operations: []
Exploring Operation: 24+75=99, Resulting Numbers: [88, 9, 99]
Generated Node #0,0: 99:[88, 9, 99] Operation: 24+75=99
Moving to Node #0,0
Current State: 99:[88, 9, 99], Operations: ['24+75=99']
Exploring Operation: 99-88=11, Resulting Numbers: [9, 11]
Generated Node #0,0,0: 99:[9, 11] Operation: 99-88=11
Moving to Node #0,0,0
Current State: 99:[9, 11], Operations: ['24+75=99', '99-88=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
65,
3,
39,
33
] | 60 | [
"3+33=36",
"65*36=2340",
"2340/39=60"
] | Current State: 60:[65, 3, 39, 33], Operations: []
Exploring Operation: 3+33=36, Resulting Numbers: [65, 39, 36]
Generated Node #2: [65, 39, 36] from Operation: 3+33=36
Current State: 60:[65, 39, 36], Operations: ['3+33=36']
Exploring Operation: 65*36=2340, Resulting Numbers: [39, 2340]
Generated Node #3: [39, 2340] from Operation: 65*36=2340
Current State: 60:[39, 2340], Operations: ['3+33=36', '65*36=2340']
Exploring Operation: 2340/39=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[65, 3, 39, 33], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [65, 3, 6]
Generated Node #0,0: 60:[65, 3, 6] Operation: 39-33=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[65, 3, 6], Operations: ['39-33=6']
Exploring Operation: 65-6=59, Resulting Numbers: [3, 59]
Generated Node #0,0,0: 60:[3, 59] Operation: 65-6=59
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[3, 59], Operations: ['39-33=6', '65-6=59']
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,60 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 |
[
42,
58,
3,
56
] | 18 | [
"58-56=2",
"42/2=21",
"21-3=18"
] | Current State: 18:[42, 58, 3, 56], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [42, 3, 2]
Generated Node #2: [42, 3, 2] from Operation: 58-56=2
Current State: 18:[42, 3, 2], Operations: ['58-56=2']
Exploring Operation: 42/2=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 42/2=21
Current State: 18:[3, 21], Operations: ['58-56=2', '42/2=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[42, 58, 3, 56], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [42, 3, 2]
Generated Node #0,0: 18:[42, 3, 2] Operation: 58-56=2
Moving to Node #0,0
Current State: 18:[42, 3, 2], Operations: ['58-56=2']
Exploring Operation: 42/2=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 18:[3, 21] Operation: 42/2=21
Moving to Node #0,0,0
Current State: 18:[3, 21], Operations: ['58-56=2', '42/2=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[42, 58, 3, 56], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [42, 3, 2]
Generated Node #0,0: 18:[42, 3, 2] Operation: 58-56=2
Moving to Node #0,0
Current State: 18:[42, 3, 2], Operations: ['58-56=2']
Exploring Operation: 42/2=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 18:[3, 21] Operation: 42/2=21
Moving to Node #0,0,0
Current State: 18:[3, 21], Operations: ['58-56=2', '42/2=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
84,
36,
45,
80
] | 20 | [
"36*80=2880",
"2880/45=64",
"84-64=20"
] | Current State: 20:[84, 36, 45, 80], Operations: []
Exploring Operation: 36*80=2880, Resulting Numbers: [84, 45, 2880]
Generated Node #2: [84, 45, 2880] from Operation: 36*80=2880
Current State: 20:[84, 45, 2880], Operations: ['36*80=2880']
Exploring Operation: 2880/45=64, Resulting Numbers: [84, 64]
Generated Node #3: [84, 64] from Operation: 2880/45=64
Current State: 20:[84, 64], Operations: ['36*80=2880', '2880/45=64']
Exploring Operation: 84-64=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[84, 36, 45, 80], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [36, 45, 4]
Generated Node #0,0: 20:[36, 45, 4] Operation: 84-80=4
Exploring Operation: 84-45=39, Resulting Numbers: [36, 80, 39]
Generated Node #0,1: 20:[36, 80, 39] Operation: 84-45=39
Exploring Operation: 80-45=35, Resulting Numbers: [84, 36, 35]
Generated Node #0,2: 20:[84, 36, 35] Operation: 80-45=35
Exploring Operation: 84-36=48, Resulting Numbers: [45, 80, 48]
Generated Node #0,3: 20:[45, 80, 48] Operation: 84-36=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[36, 45, 4], Operations: ['84-80=4']
Exploring Operation: 45-4=41, Resulting Numbers: [36, 41]
Generated Node #0,0,0: 20:[36, 41] Operation: 45-4=41
Exploring Operation: 36/4=9, Resulting Numbers: [45, 9]
Generated Node #0,0,1: 20:[45, 9] Operation: 36/4=9
Exploring Operation: 45-36=9, Resulting Numbers: [4, 9]
Generated Node #0,0,2: 20:[4, 9] Operation: 45-36=9
Exploring Operation: 36-4=32, Resulting Numbers: [45, 32]
Generated Node #0,0,3: 20:[45, 32] Operation: 36-4=32
Moving to Node #0,0,2
Current State: 20:[4, 9], Operations: ['84-80=4', '45-36=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[45, 9], Operations: ['84-80=4', '36/4=9']
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,20 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 45*9=405, Resulting Numbers: [405]
405,20 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[45, 32], Operations: ['84-80=4', '36-4=32']
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 45*32=1440, Resulting Numbers: [1440]
1440,20 unequal: No Solution
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[36, 41], Operations: ['84-80=4', '45-4=41']
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 36*41=1476, Resulting Numbers: [1476]
1476,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[36, 80, 39], Operations: ['84-45=39']
Exploring Operation: 39-36=3, Resulting Numbers: [80, 3]
Generated Node #0,1,0: 20:[80, 3] Operation: 39-36=3
Exploring Operation: 80-36=44, Resulting Numbers: [39, 44]
Generated Node #0,1,1: 20:[39, 44] Operation: 80-36=44
Exploring Operation: 36+80=116, Resulting Numbers: [39, 116]
Generated Node #0,1,2: 20:[39, 116] Operation: 36+80=116
Exploring Operation: 80-39=41, Resulting Numbers: [36, 41]
Generated Node #0,1,3: 20:[36, 41] Operation: 80-39=41
Moving to Node #0,1,3
Current State: 20:[36, 41], Operations: ['84-45=39', '80-39=41']
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 36*41=1476, Resulting Numbers: [1476]
1476,20 unequal: No Solution
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[39, 44], Operations: ['84-45=39', '80-36=44']
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,20 unequal: No Solution
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 39*44=1716, Resulting Numbers: [1716]
1716,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[80, 3], Operations: ['84-45=39', '39-36=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,20 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[39, 116], Operations: ['84-45=39', '36+80=116']
Exploring Operation: 39*116=4524, Resulting Numbers: [4524]
4524,20 unequal: No Solution
Exploring Operation: 116-39=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Exploring Operation: 39+116=155, Resulting Numbers: [155]
155,20 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 #0,2
Current State: 20:[84, 36, 35], Operations: ['80-45=35']
Exploring Operation: 84-36=48, Resulting Numbers: [35, 48]
Generated Node #0,2,0: 20:[35, 48] Operation: 84-36=48
Exploring Operation: 84-35=49, Resulting Numbers: [36, 49]
Generated Node #0,2,1: 20:[36, 49] Operation: 84-35=49
Exploring Operation: 36-35=1, Resulting Numbers: [84, 1]
Generated Node #0,2,2: 20:[84, 1] Operation: 36-35=1
Exploring Operation: 84+36=120, Resulting Numbers: [35, 120]
Generated Node #0,2,3: 20:[35, 120] Operation: 84+36=120
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[35, 48], Operations: ['80-45=35', '84-36=48']
Exploring Operation: 35*48=1680, Resulting Numbers: [1680]
1680,20 unequal: No Solution
Exploring Operation: 48-35=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 35+48=83, Resulting Numbers: [83]
83,20 unequal: No Solution
No 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: 20:[36, 49], Operations: ['80-45=35', '84-35=49']
Exploring Operation: 36*49=1764, Resulting Numbers: [1764]
1764,20 unequal: No Solution
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 36+49=85, Resulting Numbers: [85]
85,20 unequal: No Solution
No 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: 20:[84, 1], Operations: ['80-45=35', '36-35=1']
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,20 unequal: No Solution
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,20 unequal: No Solution
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,20 unequal: No Solution
No 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: 20:[35, 120], Operations: ['80-45=35', '84+36=120']
Exploring Operation: 120-35=85, Resulting Numbers: [85]
85,20 unequal: No Solution
Exploring Operation: 35+120=155, Resulting Numbers: [155]
155,20 unequal: No Solution
Exploring Operation: 35*120=4200, Resulting Numbers: [4200]
4200,20 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: 20:[45, 80, 48], Operations: ['84-36=48']
Exploring Operation: 48-45=3, Resulting Numbers: [80, 3]
Generated Node #0,3,0: 20:[80, 3] Operation: 48-45=3
Exploring Operation: 80-45=35, Resulting Numbers: [48, 35]
Generated Node #0,3,1: 20:[48, 35] Operation: 80-45=35
Exploring Operation: 80-48=32, Resulting Numbers: [45, 32]
Generated Node #0,3,2: 20:[45, 32] Operation: 80-48=32
Exploring Operation: 45+80=125, Resulting Numbers: [48, 125]
Generated Node #0,3,3: 20:[48, 125] Operation: 45+80=125
Moving to Node #0,3,2
Current State: 20:[45, 32], Operations: ['84-36=48', '80-48=32']
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 45*32=1440, Resulting Numbers: [1440]
1440,20 unequal: No Solution
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Moving to Node #0,3,1
Current State: 20:[48, 35], Operations: ['84-36=48', '80-45=35']
Exploring Operation: 48*35=1680, Resulting Numbers: [1680]
1680,20 unequal: No Solution
Exploring Operation: 48-35=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 48+35=83, Resulting Numbers: [83]
83,20 unequal: No Solution
Moving to Node #0,3,0
Current State: 20:[80, 3], Operations: ['84-36=48', '48-45=3']
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,20 unequal: No Solution
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,20 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,20 unequal: No Solution
Moving to Node #0,3,3
Current State: 20:[48, 125], Operations: ['84-36=48', '45+80=125']
Exploring Operation: 48*125=6000, Resulting Numbers: [6000]
6000,20 unequal: No Solution
Exploring Operation: 48+125=173, Resulting Numbers: [173]
173,20 unequal: No Solution
Exploring Operation: 125-48=77, Resulting Numbers: [77]
77,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
29,
4,
66,
70
] | 100 | [
"29-4=25",
"70-66=4",
"25*4=100"
] | Current State: 100:[29, 4, 66, 70], Operations: []
Exploring Operation: 29-4=25, Resulting Numbers: [66, 70, 25]
Generated Node #2: [66, 70, 25] from Operation: 29-4=25
Current State: 100:[66, 70, 25], Operations: ['29-4=25']
Exploring Operation: 70-66=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 70-66=4
Current State: 100:[25, 4], Operations: ['29-4=25', '70-66=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[29, 4, 66, 70], Operations: []
Exploring Operation: 29+66=95, Resulting Numbers: [4, 70, 95]
Generated Node #0,0: 100:[4, 70, 95] Operation: 29+66=95
Exploring Operation: 70-29=41, Resulting Numbers: [4, 66, 41]
Generated Node #0,1: 100:[4, 66, 41] Operation: 70-29=41
Exploring Operation: 70-66=4, Resulting Numbers: [29, 4, 4]
Generated Node #0,2: 100:[29, 4, 4] Operation: 70-66=4
Exploring Operation: 29+70=99, Resulting Numbers: [4, 66, 99]
Generated Node #0,3: 100:[4, 66, 99] Operation: 29+70=99
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[29, 4, 4], Operations: ['70-66=4']
Exploring Operation: 29-4=25, Resulting Numbers: [4, 25]
Generated Node #0,2,0: 100:[4, 25] Operation: 29-4=25
Exploring Operation: 29-4=25, Resulting Numbers: [4, 25]
Generated Node #0,2,1: 100:[4, 25] Operation: 29-4=25
Exploring Operation: 4+4=8, Resulting Numbers: [29, 8]
Generated Node #0,2,2: 100:[29, 8] Operation: 4+4=8
Exploring Operation: 4/4=1, Resulting Numbers: [29, 1]
Generated Node #0,2,3: 100:[29, 1] Operation: 4/4=1
Moving to Node #0,2,0
Current State: 100:[4, 25], Operations: ['70-66=4', '29-4=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[29, 4, 66, 70], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [29, 4, 4]
Generated Node #0,2: 100:[29, 4, 4] Operation: 70-66=4
Moving to Node #0,2
Current State: 100:[29, 4, 4], Operations: ['70-66=4']
Exploring Operation: 29-4=25, Resulting Numbers: [4, 25]
Generated Node #0,2,0: 100:[4, 25] Operation: 29-4=25
Moving to Node #0,2,0
Current State: 100:[4, 25], Operations: ['70-66=4', '29-4=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
63,
44,
26,
20
] | 65 | [
"63-44=19",
"26+20=46",
"19+46=65"
] | Current State: 65:[63, 44, 26, 20], Operations: []
Exploring Operation: 63-44=19, Resulting Numbers: [26, 20, 19]
Generated Node #2: [26, 20, 19] from Operation: 63-44=19
Current State: 65:[26, 20, 19], Operations: ['63-44=19']
Exploring Operation: 26+20=46, Resulting Numbers: [19, 46]
Generated Node #3: [19, 46] from Operation: 26+20=46
Current State: 65:[19, 46], Operations: ['63-44=19', '26+20=46']
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[63, 44, 26, 20], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [63, 44, 6]
Generated Node #0,0: 65:[63, 44, 6] Operation: 26-20=6
Exploring Operation: 44-26=18, Resulting Numbers: [63, 20, 18]
Generated Node #0,1: 65:[63, 20, 18] Operation: 44-26=18
Exploring Operation: 44+20=64, Resulting Numbers: [63, 26, 64]
Generated Node #0,2: 65:[63, 26, 64] Operation: 44+20=64
Exploring Operation: 44+26=70, Resulting Numbers: [63, 20, 70]
Generated Node #0,3: 65:[63, 20, 70] Operation: 44+26=70
Moving to Node #0,1
Current State: 65:[63, 20, 18], Operations: ['44-26=18']
Exploring Operation: 20-18=2, Resulting Numbers: [63, 2]
Generated Node #0,1,0: 65:[63, 2] Operation: 20-18=2
Exploring Operation: 63+18=81, Resulting Numbers: [20, 81]
Generated Node #0,1,1: 65:[20, 81] Operation: 63+18=81
Exploring Operation: 63-20=43, Resulting Numbers: [18, 43]
Generated Node #0,1,2: 65:[18, 43] Operation: 63-20=43
Exploring Operation: 63+20=83, Resulting Numbers: [18, 83]
Generated Node #0,1,3: 65:[18, 83] Operation: 63+20=83
Moving to Node #0,3
Current State: 65:[63, 20, 70], Operations: ['44+26=70']
Exploring Operation: 70-20=50, Resulting Numbers: [63, 50]
Generated Node #0,3,0: 65:[63, 50] Operation: 70-20=50
Exploring Operation: 63+20=83, Resulting Numbers: [70, 83]
Generated Node #0,3,1: 65:[70, 83] Operation: 63+20=83
Exploring Operation: 63-20=43, Resulting Numbers: [70, 43]
Generated Node #0,3,2: 65:[70, 43] Operation: 63-20=43
Exploring Operation: 70-63=7, Resulting Numbers: [20, 7]
Generated Node #0,3,3: 65:[20, 7] Operation: 70-63=7
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 65:[20, 7], Operations: ['44+26=70', '70-63=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 65:[63, 50], Operations: ['44+26=70', '70-20=50']
Exploring Operation: 63+50=113, Resulting Numbers: [113]
113,65 unequal: No Solution
Exploring Operation: 63*50=3150, Resulting Numbers: [3150]
3150,65 unequal: No Solution
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 65:[70, 83], Operations: ['44+26=70', '63+20=83']
Exploring Operation: 70*83=5810, Resulting Numbers: [5810]
5810,65 unequal: No Solution
Exploring Operation: 70+83=153, Resulting Numbers: [153]
153,65 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 65:[70, 43], Operations: ['44+26=70', '63-20=43']
Exploring Operation: 70+43=113, Resulting Numbers: [113]
113,65 unequal: No Solution
Exploring Operation: 70*43=3010, Resulting Numbers: [3010]
3010,65 unequal: No Solution
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,65 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: 65:[63, 26, 64], Operations: ['44+20=64']
Exploring Operation: 26+64=90, Resulting Numbers: [63, 90]
Generated Node #0,2,0: 65:[63, 90] Operation: 26+64=90
Exploring Operation: 64-63=1, Resulting Numbers: [26, 1]
Generated Node #0,2,1: 65:[26, 1] Operation: 64-63=1
Exploring Operation: 63-26=37, Resulting Numbers: [64, 37]
Generated Node #0,2,2: 65:[64, 37] Operation: 63-26=37
Exploring Operation: 63+26=89, Resulting Numbers: [64, 89]
Generated Node #0,2,3: 65:[64, 89] Operation: 63+26=89
Moving to Node #0,0
Current State: 65:[63, 44, 6], Operations: ['26-20=6']
Exploring Operation: 44-6=38, Resulting Numbers: [63, 38]
Generated Node #0,0,0: 65:[63, 38] Operation: 44-6=38
Exploring Operation: 44+6=50, Resulting Numbers: [63, 50]
Generated Node #0,0,1: 65:[63, 50] Operation: 44+6=50
Exploring Operation: 63-44=19, Resulting Numbers: [6, 19]
Generated Node #0,0,2: 65:[6, 19] Operation: 63-44=19
Exploring Operation: 63+6=69, Resulting Numbers: [44, 69]
Generated Node #0,0,3: 65:[44, 69] Operation: 63+6=69
Moving to Node #0,1,0
Current State: 65:[63, 2], Operations: ['44-26=18', '20-18=2']
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,65 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,65 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[63, 44, 26, 20], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [63, 20, 18]
Generated Node #0,1: 65:[63, 20, 18] Operation: 44-26=18
Moving to Node #0,1
Current State: 65:[63, 20, 18], Operations: ['44-26=18']
Exploring Operation: 20-18=2, Resulting Numbers: [63, 2]
Generated Node #0,1,0: 65:[63, 2] Operation: 20-18=2
Moving to Node #0,1,0
Current State: 65:[63, 2], Operations: ['44-26=18', '20-18=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.966146 | hs_4 | mult_heuristic |
[
4,
25,
39,
91
] | 75 | [
"25+39=64",
"64/4=16",
"91-16=75"
] | Current State: 75:[4, 25, 39, 91], Operations: []
Exploring Operation: 25+39=64, Resulting Numbers: [4, 91, 64]
Generated Node #2: [4, 91, 64] from Operation: 25+39=64
Current State: 75:[4, 91, 64], Operations: ['25+39=64']
Exploring Operation: 64/4=16, Resulting Numbers: [91, 16]
Generated Node #3: [91, 16] from Operation: 64/4=16
Current State: 75:[91, 16], Operations: ['25+39=64', '64/4=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[4, 25, 39, 91], Operations: []
Exploring Operation: 91-39=52, Resulting Numbers: [4, 25, 52]
Generated Node #0,0: 75:[4, 25, 52] Operation: 91-39=52
Exploring Operation: 91-25=66, Resulting Numbers: [4, 39, 66]
Generated Node #0,1: 75:[4, 39, 66] Operation: 91-25=66
Exploring Operation: 39-4=35, Resulting Numbers: [25, 91, 35]
Generated Node #0,2: 75:[25, 91, 35] Operation: 39-4=35
Exploring Operation: 39-25=14, Resulting Numbers: [4, 91, 14]
Generated Node #0,3: 75:[4, 91, 14] Operation: 39-25=14
Moving to Node #0,3
Current State: 75:[4, 91, 14], Operations: ['39-25=14']
Exploring Operation: 91-14=77, Resulting Numbers: [4, 77]
Generated Node #0,3,0: 75:[4, 77] Operation: 91-14=77
Exploring Operation: 4+14=18, Resulting Numbers: [91, 18]
Generated Node #0,3,1: 75:[91, 18] Operation: 4+14=18
Exploring Operation: 4+91=95, Resulting Numbers: [14, 95]
Generated Node #0,3,2: 75:[14, 95] Operation: 4+91=95
Exploring Operation: 91-4=87, Resulting Numbers: [14, 87]
Generated Node #0,3,3: 75:[14, 87] Operation: 91-4=87
Moving to Node #0,1
Current State: 75:[4, 39, 66], Operations: ['91-25=66']
Exploring Operation: 4+39=43, Resulting Numbers: [66, 43]
Generated Node #0,1,0: 75:[66, 43] Operation: 4+39=43
Exploring Operation: 4+66=70, Resulting Numbers: [39, 70]
Generated Node #0,1,1: 75:[39, 70] Operation: 4+66=70
Exploring Operation: 66-39=27, Resulting Numbers: [4, 27]
Generated Node #0,1,2: 75:[4, 27] Operation: 66-39=27
Exploring Operation: 39-4=35, Resulting Numbers: [66, 35]
Generated Node #0,1,3: 75:[66, 35] Operation: 39-4=35
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 75:[4, 27], Operations: ['91-25=66', '66-39=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,75 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[39, 70], Operations: ['91-25=66', '4+66=70']
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 39+70=109, Resulting Numbers: [109]
109,75 unequal: No Solution
Exploring Operation: 39*70=2730, Resulting Numbers: [2730]
2730,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 75:[66, 35], Operations: ['91-25=66', '39-4=35']
Exploring Operation: 66+35=101, Resulting Numbers: [101]
101,75 unequal: No Solution
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 66*35=2310, Resulting Numbers: [2310]
2310,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[66, 43], Operations: ['91-25=66', '4+39=43']
Exploring Operation: 66*43=2838, Resulting Numbers: [2838]
2838,75 unequal: No Solution
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,75 unequal: No Solution
Exploring Operation: 66+43=109, Resulting Numbers: [109]
109,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 75:[4, 25, 52], Operations: ['91-39=52']
Exploring Operation: 52-25=27, Resulting Numbers: [4, 27]
Generated Node #0,0,0: 75:[4, 27] Operation: 52-25=27
Exploring Operation: 25+52=77, Resulting Numbers: [4, 77]
Generated Node #0,0,1: 75:[4, 77] Operation: 25+52=77
Exploring Operation: 52/4=13, Resulting Numbers: [25, 13]
Generated Node #0,0,2: 75:[25, 13] Operation: 52/4=13
Exploring Operation: 4+52=56, Resulting Numbers: [25, 56]
Generated Node #0,0,3: 75:[25, 56] Operation: 4+52=56
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 75:[25, 13], Operations: ['91-39=52', '52/4=13']
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[4, 27], Operations: ['91-39=52', '52-25=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,75 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[4, 77], Operations: ['91-39=52', '25+52=77']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,75 unequal: No Solution
Exploring Operation: 4+77=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 4*77=308, Resulting Numbers: [308]
308,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 75:[25, 56], Operations: ['91-39=52', '4+52=56']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 25*56=1400, Resulting Numbers: [1400]
1400,75 unequal: No Solution
Exploring Operation: 25+56=81, Resulting Numbers: [81]
81,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 75:[25, 91, 35], Operations: ['39-4=35']
Exploring Operation: 35-25=10, Resulting Numbers: [91, 10]
Generated Node #0,2,0: 75:[91, 10] Operation: 35-25=10
Exploring Operation: 91-25=66, Resulting Numbers: [35, 66]
Generated Node #0,2,1: 75:[35, 66] Operation: 91-25=66
Exploring Operation: 25+35=60, Resulting Numbers: [91, 60]
Generated Node #0,2,2: 75:[91, 60] Operation: 25+35=60
Exploring Operation: 91-35=56, Resulting Numbers: [25, 56]
Generated Node #0,2,3: 75:[25, 56] Operation: 91-35=56
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 75:[35, 66], Operations: ['39-4=35', '91-25=66']
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 35+66=101, Resulting Numbers: [101]
101,75 unequal: No Solution
Exploring Operation: 35*66=2310, Resulting Numbers: [2310]
2310,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 75:[25, 56], Operations: ['39-4=35', '91-35=56']
Exploring Operation: 25*56=1400, Resulting Numbers: [1400]
1400,75 unequal: No Solution
Exploring Operation: 25+56=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 75:[91, 10], Operations: ['39-4=35', '35-25=10']
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 91+10=101, Resulting Numbers: [101]
101,75 unequal: No Solution
Exploring Operation: 91*10=910, Resulting Numbers: [910]
910,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 75:[91, 60], Operations: ['39-4=35', '25+35=60']
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 91*60=5460, Resulting Numbers: [5460]
5460,75 unequal: No Solution
Exploring Operation: 91+60=151, Resulting Numbers: [151]
151,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 75:[4, 77], Operations: ['39-25=14', '91-14=77']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,75 unequal: No Solution
Exploring Operation: 4+77=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 4*77=308, Resulting Numbers: [308]
308,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[14, 87], Operations: ['39-25=14', '91-4=87']
Exploring Operation: 14+87=101, Resulting Numbers: [101]
101,75 unequal: No Solution
Exploring Operation: 14*87=1218, Resulting Numbers: [1218]
1218,75 unequal: No Solution
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,75 unequal: No Solution
Moving to Node #0,3,1
Current State: 75:[91, 18], Operations: ['39-25=14', '4+14=18']
Exploring Operation: 91*18=1638, Resulting Numbers: [1638]
1638,75 unequal: No Solution
Exploring Operation: 91+18=109, Resulting Numbers: [109]
109,75 unequal: No Solution
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,75 unequal: No Solution
Moving to Node #0,3,2
Current State: 75:[14, 95], Operations: ['39-25=14', '4+91=95']
Exploring Operation: 14*95=1330, Resulting Numbers: [1330]
1330,75 unequal: No Solution
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 14+95=109, Resulting Numbers: [109]
109,75 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
89,
56,
66,
86
] | 78 | [
"89-86=3",
"66/3=22",
"56+22=78"
] | Current State: 78:[89, 56, 66, 86], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [56, 66, 3]
Generated Node #2: [56, 66, 3] from Operation: 89-86=3
Current State: 78:[56, 66, 3], Operations: ['89-86=3']
Exploring Operation: 66/3=22, Resulting Numbers: [56, 22]
Generated Node #3: [56, 22] from Operation: 66/3=22
Current State: 78:[56, 22], Operations: ['89-86=3', '66/3=22']
Exploring Operation: 56+22=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[89, 56, 66, 86], Operations: []
Exploring Operation: 89-56=33, Resulting Numbers: [66, 86, 33]
Generated Node #0,0: 78:[66, 86, 33] Operation: 89-56=33
Exploring Operation: 66-56=10, Resulting Numbers: [89, 86, 10]
Generated Node #0,1: 78:[89, 86, 10] Operation: 66-56=10
Moving to Node #0,1
Current State: 78:[89, 86, 10], Operations: ['66-56=10']
Exploring Operation: 89-86=3, Resulting Numbers: [10, 3]
Generated Node #0,1,0: 78:[10, 3] Operation: 89-86=3
Exploring Operation: 89-10=79, Resulting Numbers: [86, 79]
Generated Node #0,1,1: 78:[86, 79] Operation: 89-10=79
Moving to Node #0,0
Current State: 78:[66, 86, 33], Operations: ['89-56=33']
Exploring Operation: 66/33=2, Resulting Numbers: [86, 2]
Generated Node #0,0,0: 78:[86, 2] Operation: 66/33=2
Exploring Operation: 86-66=20, Resulting Numbers: [33, 20]
Generated Node #0,0,1: 78:[33, 20] Operation: 86-66=20
Moving to Node #0,1,0
Current State: 78:[10, 3], Operations: ['66-56=10', '89-86=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[86, 2], Operations: ['89-56=33', '66/33=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,78 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[86, 79], Operations: ['66-56=10', '89-10=79']
Exploring Operation: 86+79=165, Resulting Numbers: [165]
165,78 unequal: No Solution
Exploring Operation: 86-79=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[33, 20], Operations: ['89-56=33', '86-66=20']
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,78 unequal: No Solution
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,78 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
33,
38,
46,
2
] | 64 | [
"46-33=13",
"2*13=26",
"38+26=64"
] | Current State: 64:[33, 38, 46, 2], Operations: []
Exploring Operation: 46-33=13, Resulting Numbers: [38, 2, 13]
Generated Node #2: [38, 2, 13] from Operation: 46-33=13
Current State: 64:[38, 2, 13], Operations: ['46-33=13']
Exploring Operation: 2*13=26, Resulting Numbers: [38, 26]
Generated Node #3: [38, 26] from Operation: 2*13=26
Current State: 64:[38, 26], Operations: ['46-33=13', '2*13=26']
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[33, 38, 46, 2], Operations: []
Exploring Operation: 38-33=5, Resulting Numbers: [46, 2, 5]
Generated Node #0,0: 64:[46, 2, 5] Operation: 38-33=5
Exploring Operation: 46/2=23, Resulting Numbers: [33, 38, 23]
Generated Node #0,1: 64:[33, 38, 23] Operation: 46/2=23
Exploring Operation: 46-33=13, Resulting Numbers: [38, 2, 13]
Generated Node #0,2: 64:[38, 2, 13] Operation: 46-33=13
Exploring Operation: 46-38=8, Resulting Numbers: [33, 2, 8]
Generated Node #0,3: 64:[33, 2, 8] Operation: 46-38=8
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[33, 2, 8], Operations: ['46-38=8']
Exploring Operation: 8/2=4, Resulting Numbers: [33, 4]
Generated Node #0,3,0: 64:[33, 4] Operation: 8/2=4
Exploring Operation: 33*2=66, Resulting Numbers: [8, 66]
Generated Node #0,3,1: 64:[8, 66] Operation: 33*2=66
Exploring Operation: 33-2=31, Resulting Numbers: [8, 31]
Generated Node #0,3,2: 64:[8, 31] Operation: 33-2=31
Exploring Operation: 2*8=16, Resulting Numbers: [33, 16]
Generated Node #0,3,3: 64:[33, 16] Operation: 2*8=16
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 64:[33, 4], Operations: ['46-38=8', '8/2=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,64 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,64 unequal: No Solution
No 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: 64:[8, 31], Operations: ['46-38=8', '33-2=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,64 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,64 unequal: No Solution
No 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: 64:[33, 16], Operations: ['46-38=8', '2*8=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,64 unequal: No Solution
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,64 unequal: No Solution
No 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: 64:[8, 66], Operations: ['46-38=8', '33*2=66']
Exploring Operation: 66-8=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 8*66=528, Resulting Numbers: [528]
528,64 unequal: No Solution
Exploring Operation: 8+66=74, Resulting Numbers: [74]
74,64 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: 64:[38, 2, 13], Operations: ['46-33=13']
Exploring Operation: 38-13=25, Resulting Numbers: [2, 25]
Generated Node #0,2,0: 64:[2, 25] Operation: 38-13=25
Exploring Operation: 38-2=36, Resulting Numbers: [13, 36]
Generated Node #0,2,1: 64:[13, 36] Operation: 38-2=36
Exploring Operation: 38/2=19, Resulting Numbers: [13, 19]
Generated Node #0,2,2: 64:[13, 19] Operation: 38/2=19
Exploring Operation: 2+13=15, Resulting Numbers: [38, 15]
Generated Node #0,2,3: 64:[38, 15] Operation: 2+13=15
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 64:[13, 19], Operations: ['46-33=13', '38/2=19']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 13*19=247, Resulting Numbers: [247]
247,64 unequal: No Solution
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,64 unequal: No Solution
No 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: 64:[2, 25], Operations: ['46-33=13', '38-13=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,64 unequal: No Solution
No 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: 64:[13, 36], Operations: ['46-33=13', '38-2=36']
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,64 unequal: No Solution
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,64 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No 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: 64:[38, 15], Operations: ['46-33=13', '2+13=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,64 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: 64:[33, 38, 23], Operations: ['46/2=23']
Exploring Operation: 38-23=15, Resulting Numbers: [33, 15]
Generated Node #0,1,0: 64:[33, 15] Operation: 38-23=15
Exploring Operation: 38-33=5, Resulting Numbers: [23, 5]
Generated Node #0,1,1: 64:[23, 5] Operation: 38-33=5
Exploring Operation: 38+23=61, Resulting Numbers: [33, 61]
Generated Node #0,1,2: 64:[33, 61] Operation: 38+23=61
Exploring Operation: 33-23=10, Resulting Numbers: [38, 10]
Generated Node #0,1,3: 64:[38, 10] Operation: 33-23=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[33, 15], Operations: ['46/2=23', '38-23=15']
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,64 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,64 unequal: No Solution
No 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: 64:[33, 61], Operations: ['46/2=23', '38+23=61']
Exploring Operation: 33+61=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 33*61=2013, Resulting Numbers: [2013]
2013,64 unequal: No Solution
No 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: 64:[23, 5], Operations: ['46/2=23', '38-33=5']
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,64 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,64 unequal: No Solution
No 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: 64:[38, 10], Operations: ['46/2=23', '33-23=10']
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,64 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,64 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: 64:[46, 2, 5], Operations: ['38-33=5']
Exploring Operation: 46-2=44, Resulting Numbers: [5, 44]
Generated Node #0,0,0: 64:[5, 44] Operation: 46-2=44
Exploring Operation: 46/2=23, Resulting Numbers: [5, 23]
Generated Node #0,0,1: 64:[5, 23] Operation: 46/2=23
Exploring Operation: 46+5=51, Resulting Numbers: [2, 51]
Generated Node #0,0,2: 64:[2, 51] Operation: 46+5=51
Exploring Operation: 46-5=41, Resulting Numbers: [2, 41]
Generated Node #0,0,3: 64:[2, 41] Operation: 46-5=41
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[5, 23], Operations: ['38-33=5', '46/2=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,64 unequal: No Solution
No 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: 64:[2, 41], Operations: ['38-33=5', '46-5=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,64 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,64 unequal: No Solution
No 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: 64:[5, 44], Operations: ['38-33=5', '46-2=44']
Exploring Operation: 5*44=220, Resulting Numbers: [220]
220,64 unequal: No Solution
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,64 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,64 unequal: No Solution
No 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: 64:[2, 51], Operations: ['38-33=5', '46+5=51']
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 2*51=102, Resulting Numbers: [102]
102,64 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,64 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 |
[
15,
43,
45,
85
] | 68 | [
"43-15=28",
"85-45=40",
"28+40=68"
] | Current State: 68:[15, 43, 45, 85], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [45, 85, 28]
Generated Node #2: [45, 85, 28] from Operation: 43-15=28
Current State: 68:[45, 85, 28], Operations: ['43-15=28']
Exploring Operation: 85-45=40, Resulting Numbers: [28, 40]
Generated Node #3: [28, 40] from Operation: 85-45=40
Current State: 68:[28, 40], Operations: ['43-15=28', '85-45=40']
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[15, 43, 45, 85], Operations: []
Exploring Operation: 85-45=40, Resulting Numbers: [15, 43, 40]
Generated Node #0,0: 68:[15, 43, 40] Operation: 85-45=40
Exploring Operation: 85-15=70, Resulting Numbers: [43, 45, 70]
Generated Node #0,1: 68:[43, 45, 70] Operation: 85-15=70
Exploring Operation: 45-43=2, Resulting Numbers: [15, 85, 2]
Generated Node #0,2: 68:[15, 85, 2] Operation: 45-43=2
Exploring Operation: 85-43=42, Resulting Numbers: [15, 45, 42]
Generated Node #0,3: 68:[15, 45, 42] Operation: 85-43=42
Moving to Node #0,0
Current State: 68:[15, 43, 40], Operations: ['85-45=40']
Exploring Operation: 43-40=3, Resulting Numbers: [15, 3]
Generated Node #0,0,0: 68:[15, 3] Operation: 43-40=3
Exploring Operation: 40-15=25, Resulting Numbers: [43, 25]
Generated Node #0,0,1: 68:[43, 25] Operation: 40-15=25
Exploring Operation: 15+43=58, Resulting Numbers: [40, 58]
Generated Node #0,0,2: 68:[40, 58] Operation: 15+43=58
Exploring Operation: 43-15=28, Resulting Numbers: [40, 28]
Generated Node #0,0,3: 68:[40, 28] Operation: 43-15=28
Moving to Node #0,2
Current State: 68:[15, 85, 2], Operations: ['45-43=2']
Exploring Operation: 15*2=30, Resulting Numbers: [85, 30]
Generated Node #0,2,0: 68:[85, 30] Operation: 15*2=30
Exploring Operation: 85-2=83, Resulting Numbers: [15, 83]
Generated Node #0,2,1: 68:[15, 83] Operation: 85-2=83
Exploring Operation: 85-15=70, Resulting Numbers: [2, 70]
Generated Node #0,2,2: 68:[2, 70] Operation: 85-15=70
Exploring Operation: 15+2=17, Resulting Numbers: [85, 17]
Generated Node #0,2,3: 68:[85, 17] Operation: 15+2=17
Moving to Node #0,3
Current State: 68:[15, 45, 42], Operations: ['85-43=42']
Exploring Operation: 45-42=3, Resulting Numbers: [15, 3]
Generated Node #0,3,0: 68:[15, 3] Operation: 45-42=3
Exploring Operation: 45/15=3, Resulting Numbers: [42, 3]
Generated Node #0,3,1: 68:[42, 3] Operation: 45/15=3
Exploring Operation: 15+45=60, Resulting Numbers: [42, 60]
Generated Node #0,3,2: 68:[42, 60] Operation: 15+45=60
Exploring Operation: 45-15=30, Resulting Numbers: [42, 30]
Generated Node #0,3,3: 68:[42, 30] Operation: 45-15=30
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 68:[15, 3], Operations: ['85-43=42', '45-42=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,68 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 68:[42, 3], Operations: ['85-43=42', '45/15=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Exploring Operation: 42*3=126, Resulting Numbers: [126]
126,68 unequal: No Solution
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 68:[42, 30], Operations: ['85-43=42', '45-15=30']
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 42*30=1260, Resulting Numbers: [1260]
1260,68 unequal: No Solution
Exploring Operation: 42+30=72, Resulting Numbers: [72]
72,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 68:[42, 60], Operations: ['85-43=42', '15+45=60']
Exploring Operation: 42+60=102, Resulting Numbers: [102]
102,68 unequal: No Solution
Exploring Operation: 42*60=2520, Resulting Numbers: [2520]
2520,68 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,68 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: 68:[43, 45, 70], Operations: ['85-15=70']
Exploring Operation: 70-45=25, Resulting Numbers: [43, 25]
Generated Node #0,1,0: 68:[43, 25] Operation: 70-45=25
Exploring Operation: 70-43=27, Resulting Numbers: [45, 27]
Generated Node #0,1,1: 68:[45, 27] Operation: 70-43=27
Exploring Operation: 43+45=88, Resulting Numbers: [70, 88]
Generated Node #0,1,2: 68:[70, 88] Operation: 43+45=88
Exploring Operation: 45-43=2, Resulting Numbers: [70, 2]
Generated Node #0,1,3: 68:[70, 2] Operation: 45-43=2
Moving to Node #0,2,2
Current State: 68:[2, 70], Operations: ['45-43=2', '85-15=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[15, 43, 45, 85], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [15, 85, 2]
Generated Node #0,2: 68:[15, 85, 2] Operation: 45-43=2
Moving to Node #0,2
Current State: 68:[15, 85, 2], Operations: ['45-43=2']
Exploring Operation: 85-15=70, Resulting Numbers: [2, 70]
Generated Node #0,2,2: 68:[2, 70] Operation: 85-15=70
Moving to Node #0,2,2
Current State: 68:[2, 70], Operations: ['45-43=2', '85-15=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.966146 | hs_4 | sum_heuristic |
[
67,
64,
39,
25
] | 92 | [
"67-64=3",
"39*3=117",
"117-25=92"
] | Current State: 92:[67, 64, 39, 25], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [39, 25, 3]
Generated Node #2: [39, 25, 3] from Operation: 67-64=3
Current State: 92:[39, 25, 3], Operations: ['67-64=3']
Exploring Operation: 39*3=117, Resulting Numbers: [25, 117]
Generated Node #3: [25, 117] from Operation: 39*3=117
Current State: 92:[25, 117], Operations: ['67-64=3', '39*3=117']
Exploring Operation: 117-25=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[67, 64, 39, 25], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [39, 25, 3]
Generated Node #0,0: 92:[39, 25, 3] Operation: 67-64=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[39, 25, 3], Operations: ['67-64=3']
Exploring Operation: 39+3=42, Resulting Numbers: [25, 42]
Generated Node #0,0,0: 92:[25, 42] Operation: 39+3=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[25, 42], Operations: ['67-64=3', '39+3=42']
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,92 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 |
[
10,
99,
70,
90
] | 20 | [
"90/10=9",
"99-70=29",
"29-9=20"
] | Current State: 20:[10, 99, 70, 90], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [99, 70, 9]
Generated Node #2: [99, 70, 9] from Operation: 90/10=9
Current State: 20:[99, 70, 9], Operations: ['90/10=9']
Exploring Operation: 99-70=29, Resulting Numbers: [9, 29]
Generated Node #3: [9, 29] from Operation: 99-70=29
Current State: 20:[9, 29], Operations: ['90/10=9', '99-70=29']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[10, 99, 70, 90], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [10, 90, 29]
Generated Node #0,0: 20:[10, 90, 29] Operation: 99-70=29
Exploring Operation: 99-90=9, Resulting Numbers: [10, 70, 9]
Generated Node #0,1: 20:[10, 70, 9] Operation: 99-90=9
Moving to Node #0,1
Current State: 20:[10, 70, 9], Operations: ['99-90=9']
Exploring Operation: 70/10=7, Resulting Numbers: [9, 7]
Generated Node #0,1,0: 20:[9, 7] Operation: 70/10=7
Exploring Operation: 70-10=60, Resulting Numbers: [9, 60]
Generated Node #0,1,1: 20:[9, 60] Operation: 70-10=60
Moving to Node #0,0
Current State: 20:[10, 90, 29], Operations: ['99-70=29']
Exploring Operation: 90/10=9, Resulting Numbers: [29, 9]
Generated Node #0,0,0: 20:[29, 9] Operation: 90/10=9
Exploring Operation: 90-29=61, Resulting Numbers: [10, 61]
Generated Node #0,0,1: 20:[10, 61] Operation: 90-29=61
Moving to Node #0,1,0
Current State: 20:[9, 7], Operations: ['99-90=9', '70/10=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[29, 9], Operations: ['99-70=29', '90/10=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[10, 99, 70, 90], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [10, 90, 29]
Generated Node #0,0: 20:[10, 90, 29] Operation: 99-70=29
Moving to Node #0,0
Current State: 20:[10, 90, 29], Operations: ['99-70=29']
Exploring Operation: 90/10=9, Resulting Numbers: [29, 9]
Generated Node #0,0,0: 20:[29, 9] Operation: 90/10=9
Moving to Node #0,0,0
Current State: 20:[29, 9], Operations: ['99-70=29', '90/10=9']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.987847 | hs_2 | sum_heuristic |
[
15,
70,
40,
21
] | 66 | [
"15+70=85",
"40-21=19",
"85-19=66"
] | Current State: 66:[15, 70, 40, 21], Operations: []
Exploring Operation: 15+70=85, Resulting Numbers: [40, 21, 85]
Generated Node #2: [40, 21, 85] from Operation: 15+70=85
Current State: 66:[40, 21, 85], Operations: ['15+70=85']
Exploring Operation: 40-21=19, Resulting Numbers: [85, 19]
Generated Node #3: [85, 19] from Operation: 40-21=19
Current State: 66:[85, 19], Operations: ['15+70=85', '40-21=19']
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[15, 70, 40, 21], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [70, 40, 6]
Generated Node #0,0: 66:[70, 40, 6] Operation: 21-15=6
Exploring Operation: 40-15=25, Resulting Numbers: [70, 21, 25]
Generated Node #0,1: 66:[70, 21, 25] Operation: 40-15=25
Exploring Operation: 70-40=30, Resulting Numbers: [15, 21, 30]
Generated Node #0,2: 66:[15, 21, 30] Operation: 70-40=30
Moving to Node #0,1
Current State: 66:[70, 21, 25], Operations: ['40-15=25']
Exploring Operation: 70-25=45, Resulting Numbers: [21, 45]
Generated Node #0,1,0: 66:[21, 45] Operation: 70-25=45
Exploring Operation: 25-21=4, Resulting Numbers: [70, 4]
Generated Node #0,1,1: 66:[70, 4] Operation: 25-21=4
Exploring Operation: 21+25=46, Resulting Numbers: [70, 46]
Generated Node #0,1,2: 66:[70, 46] Operation: 21+25=46
Moving to Node #0,2
Current State: 66:[15, 21, 30], Operations: ['70-40=30']
Exploring Operation: 30/15=2, Resulting Numbers: [21, 2]
Generated Node #0,2,0: 66:[21, 2] Operation: 30/15=2
Exploring Operation: 30-15=15, Resulting Numbers: [21, 15]
Generated Node #0,2,1: 66:[21, 15] Operation: 30-15=15
Exploring Operation: 21-15=6, Resulting Numbers: [30, 6]
Generated Node #0,2,2: 66:[30, 6] Operation: 21-15=6
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 66:[21, 2], Operations: ['70-40=30', '30/15=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,66 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,66 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 #0,2,2
Current State: 66:[30, 6], Operations: ['70-40=30', '21-15=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,66 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,66 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 #0,2,1
Current State: 66:[21, 15], Operations: ['70-40=30', '30-15=15']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,66 unequal: No Solution
Exploring Operation: 21*15=315, Resulting Numbers: [315]
315,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 66:[70, 40, 6], Operations: ['21-15=6']
Exploring Operation: 70-40=30, Resulting Numbers: [6, 30]
Generated Node #0,0,0: 66:[6, 30] Operation: 70-40=30
Exploring Operation: 40-6=34, Resulting Numbers: [70, 34]
Generated Node #0,0,1: 66:[70, 34] Operation: 40-6=34
Exploring Operation: 70-6=64, Resulting Numbers: [40, 64]
Generated Node #0,0,2: 66:[40, 64] Operation: 70-6=64
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[6, 30], Operations: ['21-15=6', '70-40=30']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[70, 34], Operations: ['21-15=6', '40-6=34']
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,66 unequal: No Solution
Exploring Operation: 70*34=2380, Resulting Numbers: [2380]
2380,66 unequal: No Solution
Exploring Operation: 70+34=104, Resulting Numbers: [104]
104,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 66:[40, 64], Operations: ['21-15=6', '70-6=64']
Exploring Operation: 40+64=104, Resulting Numbers: [104]
104,66 unequal: No Solution
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 40*64=2560, Resulting Numbers: [2560]
2560,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 66:[70, 4], Operations: ['40-15=25', '25-21=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[15, 70, 40, 21], Operations: []
Exploring Operation: 40-15=25, Resulting Numbers: [70, 21, 25]
Generated Node #0,1: 66:[70, 21, 25] Operation: 40-15=25
Moving to Node #0,1
Current State: 66:[70, 21, 25], Operations: ['40-15=25']
Exploring Operation: 25-21=4, Resulting Numbers: [70, 4]
Generated Node #0,1,1: 66:[70, 4] Operation: 25-21=4
Moving to Node #0,1,1
Current State: 66:[70, 4], Operations: ['40-15=25', '25-21=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.969618 | hs_3 | sum_heuristic |
[
10,
51,
21,
73
] | 48 | [
"73-10=63",
"63/21=3",
"51-3=48"
] | Current State: 48:[10, 51, 21, 73], Operations: []
Exploring Operation: 73-10=63, Resulting Numbers: [51, 21, 63]
Generated Node #2: [51, 21, 63] from Operation: 73-10=63
Current State: 48:[51, 21, 63], Operations: ['73-10=63']
Exploring Operation: 63/21=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 63/21=3
Current State: 48:[51, 3], Operations: ['73-10=63', '63/21=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[10, 51, 21, 73], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [10, 21, 22]
Generated Node #0,0: 48:[10, 21, 22] Operation: 73-51=22
Exploring Operation: 73-21=52, Resulting Numbers: [10, 51, 52]
Generated Node #0,1: 48:[10, 51, 52] Operation: 73-21=52
Exploring Operation: 21-10=11, Resulting Numbers: [51, 73, 11]
Generated Node #0,2: 48:[51, 73, 11] Operation: 21-10=11
Exploring Operation: 73-10=63, Resulting Numbers: [51, 21, 63]
Generated Node #0,3: 48:[51, 21, 63] Operation: 73-10=63
Moving to Node #0,0
Current State: 48:[10, 21, 22], Operations: ['73-51=22']
Exploring Operation: 21-10=11, Resulting Numbers: [22, 11]
Generated Node #0,0,0: 48:[22, 11] Operation: 21-10=11
Exploring Operation: 22-10=12, Resulting Numbers: [21, 12]
Generated Node #0,0,1: 48:[21, 12] Operation: 22-10=12
Exploring Operation: 21+22=43, Resulting Numbers: [10, 43]
Generated Node #0,0,2: 48:[10, 43] Operation: 21+22=43
Exploring Operation: 22-21=1, Resulting Numbers: [10, 1]
Generated Node #0,0,3: 48:[10, 1] Operation: 22-21=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[22, 11], Operations: ['73-51=22', '21-10=11']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,48 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[21, 12], Operations: ['73-51=22', '22-10=12']
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,48 unequal: No Solution
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 48:[10, 1], Operations: ['73-51=22', '22-21=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[10, 43], Operations: ['73-51=22', '21+22=43']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,48 unequal: No Solution
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,48 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: 48:[10, 51, 52], Operations: ['73-21=52']
Exploring Operation: 52-51=1, Resulting Numbers: [10, 1]
Generated Node #0,1,0: 48:[10, 1] Operation: 52-51=1
Exploring Operation: 10+51=61, Resulting Numbers: [52, 61]
Generated Node #0,1,1: 48:[52, 61] Operation: 10+51=61
Exploring Operation: 52-10=42, Resulting Numbers: [51, 42]
Generated Node #0,1,2: 48:[51, 42] Operation: 52-10=42
Exploring Operation: 51-10=41, Resulting Numbers: [52, 41]
Generated Node #0,1,3: 48:[52, 41] Operation: 51-10=41
Moving to Node #0,3
Current State: 48:[51, 21, 63], Operations: ['73-10=63']
Exploring Operation: 63-51=12, Resulting Numbers: [21, 12]
Generated Node #0,3,0: 48:[21, 12] Operation: 63-51=12
Exploring Operation: 63-21=42, Resulting Numbers: [51, 42]
Generated Node #0,3,1: 48:[51, 42] Operation: 63-21=42
Exploring Operation: 63/21=3, Resulting Numbers: [51, 3]
Generated Node #0,3,2: 48:[51, 3] Operation: 63/21=3
Exploring Operation: 51-21=30, Resulting Numbers: [63, 30]
Generated Node #0,3,3: 48:[63, 30] Operation: 51-21=30
Moving to Node #0,2
Current State: 48:[51, 73, 11], Operations: ['21-10=11']
Exploring Operation: 73-51=22, Resulting Numbers: [11, 22]
Generated Node #0,2,0: 48:[11, 22] Operation: 73-51=22
Exploring Operation: 73-11=62, Resulting Numbers: [51, 62]
Generated Node #0,2,1: 48:[51, 62] Operation: 73-11=62
Exploring Operation: 51+11=62, Resulting Numbers: [73, 62]
Generated Node #0,2,2: 48:[73, 62] Operation: 51+11=62
Exploring Operation: 51-11=40, Resulting Numbers: [73, 40]
Generated Node #0,2,3: 48:[73, 40] Operation: 51-11=40
Moving to Node #0,1,0
Current State: 48:[10, 1], Operations: ['73-21=52', '52-51=1']
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[51, 3], Operations: ['73-10=63', '63/21=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[10, 51, 21, 73], Operations: []
Exploring Operation: 73-10=63, Resulting Numbers: [51, 21, 63]
Generated Node #0,3: 48:[51, 21, 63] Operation: 73-10=63
Moving to Node #0,3
Current State: 48:[51, 21, 63], Operations: ['73-10=63']
Exploring Operation: 63/21=3, Resulting Numbers: [51, 3]
Generated Node #0,3,2: 48:[51, 3] Operation: 63/21=3
Moving to Node #0,3,2
Current State: 48:[51, 3], Operations: ['73-10=63', '63/21=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 0.962674 | hs_4 | sum_heuristic |
[
35,
7,
2,
66
] | 73 | [
"35/7=5",
"2+66=68",
"5+68=73"
] | Current State: 73:[35, 7, 2, 66], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [2, 66, 5]
Generated Node #2: [2, 66, 5] from Operation: 35/7=5
Current State: 73:[2, 66, 5], Operations: ['35/7=5']
Exploring Operation: 2+66=68, Resulting Numbers: [5, 68]
Generated Node #3: [5, 68] from Operation: 2+66=68
Current State: 73:[5, 68], Operations: ['35/7=5', '2+66=68']
Exploring Operation: 5+68=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[35, 7, 2, 66], Operations: []
Exploring Operation: 35*2=70, Resulting Numbers: [7, 66, 70]
Generated Node #0,0: 73:[7, 66, 70] Operation: 35*2=70
Moving to Node #0,0
Current State: 73:[7, 66, 70], Operations: ['35*2=70']
Exploring Operation: 7+66=73, Resulting Numbers: [70, 73]
Generated Node #0,0,0: 73:[70, 73] Operation: 7+66=73
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[70, 73], Operations: ['35*2=70', '7+66=73']
Exploring Operation: 70+73=143, Resulting Numbers: [143]
143,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
62,
31,
62,
2
] | 30 | [
"62/31=2",
"62-2=60",
"60/2=30"
] | Current State: 30:[62, 31, 62, 2], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [2, 2]
Generated Node #2: [2, 2] from Operation: 62/31=2
Current State: 30:[2, 2], Operations: ['62/31=2']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,30 equal: Goal Reached
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[62, 31, 62, 2], Operations: []
Exploring Operation: 62/62=1, Resulting Numbers: [31, 2, 1]
Generated Node #0,0: 30:[31, 2, 1] Operation: 62/62=1
Moving to Node #0,0
Current State: 30:[31, 2, 1], Operations: ['62/62=1']
Exploring Operation: 31-1=30, Resulting Numbers: [2, 30]
Generated Node #0,0,0: 30:[2, 30] Operation: 31-1=30
Moving to Node #0,0,0
Current State: 30:[2, 30], Operations: ['62/62=1', '31-1=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,30 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
12,
73,
24,
15
] | 86 | [
"24/12=2",
"73+15=88",
"88-2=86"
] | Current State: 86:[12, 73, 24, 15], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [73, 15, 2]
Generated Node #2: [73, 15, 2] from Operation: 24/12=2
Current State: 86:[73, 15, 2], Operations: ['24/12=2']
Exploring Operation: 73+15=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 73+15=88
Current State: 86:[2, 88], Operations: ['24/12=2', '73+15=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[12, 73, 24, 15], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [73, 15, 2]
Generated Node #0,0: 86:[73, 15, 2] Operation: 24/12=2
Exploring Operation: 24+15=39, Resulting Numbers: [12, 73, 39]
Generated Node #0,1: 86:[12, 73, 39] Operation: 24+15=39
Moving to Node #0,0
Current State: 86:[73, 15, 2], Operations: ['24/12=2']
Exploring Operation: 73+15=88, Resulting Numbers: [2, 88]
Generated Node #0,0,0: 86:[2, 88] Operation: 73+15=88
Exploring Operation: 73-15=58, Resulting Numbers: [2, 58]
Generated Node #0,0,1: 86:[2, 58] Operation: 73-15=58
Moving to Node #0,1
Current State: 86:[12, 73, 39], Operations: ['24+15=39']
Exploring Operation: 12+73=85, Resulting Numbers: [39, 85]
Generated Node #0,1,0: 86:[39, 85] Operation: 12+73=85
Exploring Operation: 73-39=34, Resulting Numbers: [12, 34]
Generated Node #0,1,1: 86:[12, 34] Operation: 73-39=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[39, 85], Operations: ['24+15=39', '12+73=85']
Exploring Operation: 39+85=124, Resulting Numbers: [124]
124,86 unequal: No Solution
Exploring Operation: 85-39=46, Resulting Numbers: [46]
46,86 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:[12, 34], Operations: ['24+15=39', '73-39=34']
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,86 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:[2, 88], Operations: ['24/12=2', '73+15=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,86 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[12, 73, 24, 15], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [73, 15, 2]
Generated Node #0,0: 86:[73, 15, 2] Operation: 24/12=2
Moving to Node #0,0
Current State: 86:[73, 15, 2], Operations: ['24/12=2']
Exploring Operation: 73+15=88, Resulting Numbers: [2, 88]
Generated Node #0,0,0: 86:[2, 88] Operation: 73+15=88
Moving to Node #0,0,0
Current State: 86:[2, 88], Operations: ['24/12=2', '73+15=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
3,
62,
22,
70
] | 10 | [
"62-22=40",
"70-40=30",
"30/3=10"
] | Current State: 10:[3, 62, 22, 70], Operations: []
Exploring Operation: 62-22=40, Resulting Numbers: [3, 70, 40]
Generated Node #2: [3, 70, 40] from Operation: 62-22=40
Current State: 10:[3, 70, 40], Operations: ['62-22=40']
Exploring Operation: 70-40=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 70-40=30
Current State: 10:[3, 30], Operations: ['62-22=40', '70-40=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[3, 62, 22, 70], Operations: []
Exploring Operation: 70-22=48, Resulting Numbers: [3, 62, 48]
Generated Node #0,0: 10:[3, 62, 48] Operation: 70-22=48
Exploring Operation: 22-3=19, Resulting Numbers: [62, 70, 19]
Generated Node #0,1: 10:[62, 70, 19] Operation: 22-3=19
Exploring Operation: 62-22=40, Resulting Numbers: [3, 70, 40]
Generated Node #0,2: 10:[3, 70, 40] Operation: 62-22=40
Exploring Operation: 70-62=8, Resulting Numbers: [3, 22, 8]
Generated Node #0,3: 10:[3, 22, 8] Operation: 70-62=8
Exploring Operation: 62-3=59, Resulting Numbers: [22, 70, 59]
Generated Node #0,4: 10:[22, 70, 59] Operation: 62-3=59
Moving to Node #0,3
Current State: 10:[3, 22, 8], Operations: ['70-62=8']
Exploring Operation: 22-3=19, Resulting Numbers: [8, 19]
Generated Node #0,3,0: 10:[8, 19] Operation: 22-3=19
Exploring Operation: 22-8=14, Resulting Numbers: [3, 14]
Generated Node #0,3,1: 10:[3, 14] Operation: 22-8=14
Exploring Operation: 8-3=5, Resulting Numbers: [22, 5]
Generated Node #0,3,2: 10:[22, 5] Operation: 8-3=5
Exploring Operation: 3+8=11, Resulting Numbers: [22, 11]
Generated Node #0,3,3: 10:[22, 11] Operation: 3+8=11
Exploring Operation: 3+22=25, Resulting Numbers: [8, 25]
Generated Node #0,3,4: 10:[8, 25] Operation: 3+22=25
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 10:[3, 14], Operations: ['70-62=8', '22-8=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,10 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
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 10:[8, 19], Operations: ['70-62=8', '22-3=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,10 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,10 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 #0,3,2
Current State: 10:[22, 5], Operations: ['70-62=8', '8-3=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,10 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,10 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 #0,3,3
Current State: 10:[22, 11], Operations: ['70-62=8', '3+8=11']
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,10 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,10 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 #0,3,4
Current State: 10:[8, 25], Operations: ['70-62=8', '3+22=25']
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,10 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,10 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: 10:[3, 70, 40], Operations: ['62-22=40']
Exploring Operation: 40-3=37, Resulting Numbers: [70, 37]
Generated Node #0,2,0: 10:[70, 37] Operation: 40-3=37
Exploring Operation: 70-3=67, Resulting Numbers: [40, 67]
Generated Node #0,2,1: 10:[40, 67] Operation: 70-3=67
Exploring Operation: 3+40=43, Resulting Numbers: [70, 43]
Generated Node #0,2,2: 10:[70, 43] Operation: 3+40=43
Exploring Operation: 3+70=73, Resulting Numbers: [40, 73]
Generated Node #0,2,3: 10:[40, 73] Operation: 3+70=73
Exploring Operation: 70-40=30, Resulting Numbers: [3, 30]
Generated Node #0,2,4: 10:[3, 30] Operation: 70-40=30
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 10:[3, 30], Operations: ['62-22=40', '70-40=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,10 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[3, 62, 22, 70], Operations: []
Exploring Operation: 62-22=40, Resulting Numbers: [3, 70, 40]
Generated Node #0,2: 10:[3, 70, 40] Operation: 62-22=40
Moving to Node #0,2
Current State: 10:[3, 70, 40], Operations: ['62-22=40']
Exploring Operation: 70-40=30, Resulting Numbers: [3, 30]
Generated Node #0,2,4: 10:[3, 30] Operation: 70-40=30
Moving to Node #0,2,4
Current State: 10:[3, 30], Operations: ['62-22=40', '70-40=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
65,
7,
63,
98
] | 56 | [
"65-63=2",
"98/2=49",
"7+49=56"
] | Current State: 56:[65, 7, 63, 98], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [7, 98, 2]
Generated Node #2: [7, 98, 2] from Operation: 65-63=2
Current State: 56:[7, 98, 2], Operations: ['65-63=2']
Exploring Operation: 98/2=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 98/2=49
Current State: 56:[7, 49], Operations: ['65-63=2', '98/2=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[65, 7, 63, 98], Operations: []
Exploring Operation: 98-63=35, Resulting Numbers: [65, 7, 35]
Generated Node #0,0: 56:[65, 7, 35] Operation: 98-63=35
Exploring Operation: 65-63=2, Resulting Numbers: [7, 98, 2]
Generated Node #0,1: 56:[7, 98, 2] Operation: 65-63=2
Exploring Operation: 98-65=33, Resulting Numbers: [7, 63, 33]
Generated Node #0,2: 56:[7, 63, 33] Operation: 98-65=33
Exploring Operation: 98/7=14, Resulting Numbers: [65, 63, 14]
Generated Node #0,3: 56:[65, 63, 14] Operation: 98/7=14
Moving to Node #0,2
Current State: 56:[7, 63, 33], Operations: ['98-65=33']
Exploring Operation: 63/7=9, Resulting Numbers: [33, 9]
Generated Node #0,2,0: 56:[33, 9] Operation: 63/7=9
Exploring Operation: 33-7=26, Resulting Numbers: [63, 26]
Generated Node #0,2,1: 56:[63, 26] Operation: 33-7=26
Exploring Operation: 63-33=30, Resulting Numbers: [7, 30]
Generated Node #0,2,2: 56:[7, 30] Operation: 63-33=30
Exploring Operation: 63-7=56, Resulting Numbers: [33, 56]
Generated Node #0,2,3: 56:[33, 56] Operation: 63-7=56
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 56:[7, 30], Operations: ['98-65=33', '63-33=30']
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 7*30=210, Resulting Numbers: [210]
210,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 56:[33, 56], Operations: ['98-65=33', '63-7=56']
Exploring Operation: 33*56=1848, Resulting Numbers: [1848]
1848,56 unequal: No Solution
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,56 unequal: No Solution
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[33, 9], Operations: ['98-65=33', '63/7=9']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,56 unequal: No Solution
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 56:[63, 26], Operations: ['98-65=33', '33-7=26']
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,56 unequal: No Solution
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,56 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,56 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: 56:[65, 63, 14], Operations: ['98/7=14']
Exploring Operation: 65-63=2, Resulting Numbers: [14, 2]
Generated Node #0,3,0: 56:[14, 2] Operation: 65-63=2
Exploring Operation: 65-14=51, Resulting Numbers: [63, 51]
Generated Node #0,3,1: 56:[63, 51] Operation: 65-14=51
Exploring Operation: 65+14=79, Resulting Numbers: [63, 79]
Generated Node #0,3,2: 56:[63, 79] Operation: 65+14=79
Exploring Operation: 63-14=49, Resulting Numbers: [65, 49]
Generated Node #0,3,3: 56:[65, 49] Operation: 63-14=49
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 56:[14, 2], Operations: ['98/7=14', '65-63=2']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 56:[63, 51], Operations: ['98/7=14', '65-14=51']
Exploring Operation: 63*51=3213, Resulting Numbers: [3213]
3213,56 unequal: No Solution
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 63+51=114, Resulting Numbers: [114]
114,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 56:[65, 49], Operations: ['98/7=14', '63-14=49']
Exploring Operation: 65+49=114, Resulting Numbers: [114]
114,56 unequal: No Solution
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 65*49=3185, Resulting Numbers: [3185]
3185,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 56:[63, 79], Operations: ['98/7=14', '65+14=79']
Exploring Operation: 63*79=4977, Resulting Numbers: [4977]
4977,56 unequal: No Solution
Exploring Operation: 79-63=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 63+79=142, Resulting Numbers: [142]
142,56 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: 56:[65, 7, 35], Operations: ['98-63=35']
Exploring Operation: 35-7=28, Resulting Numbers: [65, 28]
Generated Node #0,0,0: 56:[65, 28] Operation: 35-7=28
Exploring Operation: 65-7=58, Resulting Numbers: [35, 58]
Generated Node #0,0,1: 56:[35, 58] Operation: 65-7=58
Exploring Operation: 65-35=30, Resulting Numbers: [7, 30]
Generated Node #0,0,2: 56:[7, 30] Operation: 65-35=30
Exploring Operation: 35/7=5, Resulting Numbers: [65, 5]
Generated Node #0,0,3: 56:[65, 5] Operation: 35/7=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[7, 30], Operations: ['98-63=35', '65-35=30']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Exploring Operation: 7*30=210, Resulting Numbers: [210]
210,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[65, 28], Operations: ['98-63=35', '35-7=28']
Exploring Operation: 65*28=1820, Resulting Numbers: [1820]
1820,56 unequal: No Solution
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Exploring Operation: 65+28=93, Resulting Numbers: [93]
93,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[35, 58], Operations: ['98-63=35', '65-7=58']
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,56 unequal: No Solution
Exploring Operation: 35*58=2030, Resulting Numbers: [2030]
2030,56 unequal: No Solution
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[65, 5], Operations: ['98-63=35', '35/7=5']
Exploring Operation: 65+5=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,56 unequal: No Solution
Exploring Operation: 65*5=325, Resulting Numbers: [325]
325,56 unequal: No Solution
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,56 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: 56:[7, 98, 2], Operations: ['65-63=2']
Exploring Operation: 98/2=49, Resulting Numbers: [7, 49]
Generated Node #0,1,0: 56:[7, 49] Operation: 98/2=49
Exploring Operation: 98-2=96, Resulting Numbers: [7, 96]
Generated Node #0,1,1: 56:[7, 96] Operation: 98-2=96
Exploring Operation: 98-7=91, Resulting Numbers: [2, 91]
Generated Node #0,1,2: 56:[2, 91] Operation: 98-7=91
Exploring Operation: 98/7=14, Resulting Numbers: [2, 14]
Generated Node #0,1,3: 56:[2, 14] Operation: 98/7=14
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 56:[2, 14], Operations: ['65-63=2', '98/7=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[7, 49], Operations: ['65-63=2', '98/2=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[65, 7, 63, 98], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [7, 98, 2]
Generated Node #0,1: 56:[7, 98, 2] Operation: 65-63=2
Moving to Node #0,1
Current State: 56:[7, 98, 2], Operations: ['65-63=2']
Exploring Operation: 98/2=49, Resulting Numbers: [7, 49]
Generated Node #0,1,0: 56:[7, 49] Operation: 98/2=49
Moving to Node #0,1,0
Current State: 56:[7, 49], Operations: ['65-63=2', '98/2=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_4 | mult_heuristic |
[
74,
51,
28,
38
] | 33 | [
"74-51=23",
"38-28=10",
"23+10=33"
] | Current State: 33:[74, 51, 28, 38], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [28, 38, 23]
Generated Node #2: [28, 38, 23] from Operation: 74-51=23
Current State: 33:[28, 38, 23], Operations: ['74-51=23']
Exploring Operation: 38-28=10, Resulting Numbers: [23, 10]
Generated Node #3: [23, 10] from Operation: 38-28=10
Current State: 33:[23, 10], Operations: ['74-51=23', '38-28=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[74, 51, 28, 38], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [28, 38, 23]
Generated Node #0,0: 33:[28, 38, 23] Operation: 74-51=23
Exploring Operation: 74-28=46, Resulting Numbers: [51, 38, 46]
Generated Node #0,1: 33:[51, 38, 46] Operation: 74-28=46
Exploring Operation: 74-38=36, Resulting Numbers: [51, 28, 36]
Generated Node #0,2: 33:[51, 28, 36] Operation: 74-38=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[28, 38, 23], Operations: ['74-51=23']
Exploring Operation: 38-28=10, Resulting Numbers: [23, 10]
Generated Node #0,0,0: 33:[23, 10] Operation: 38-28=10
Exploring Operation: 38-23=15, Resulting Numbers: [28, 15]
Generated Node #0,0,1: 33:[28, 15] Operation: 38-23=15
Exploring Operation: 28-23=5, Resulting Numbers: [38, 5]
Generated Node #0,0,2: 33:[38, 5] Operation: 28-23=5
Moving to Node #0,0,2
Current State: 33:[38, 5], Operations: ['74-51=23', '28-23=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[74, 51, 28, 38], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [28, 38, 23]
Generated Node #0,0: 33:[28, 38, 23] Operation: 74-51=23
Moving to Node #0,0
Current State: 33:[28, 38, 23], Operations: ['74-51=23']
Exploring Operation: 28-23=5, Resulting Numbers: [38, 5]
Generated Node #0,0,2: 33:[38, 5] Operation: 28-23=5
Moving to Node #0,0,2
Current State: 33:[38, 5], Operations: ['74-51=23', '28-23=5']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
22,
44,
44,
13
] | 34 | [
"22+13=35",
"44/44=1",
"35-1=34"
] | Current State: 34:[22, 44, 44, 13], Operations: []
Exploring Operation: 22+13=35, Resulting Numbers: [44, 44, 35]
Generated Node #2: [44, 44, 35] from Operation: 22+13=35
Current State: 34:[44, 44, 35], Operations: ['22+13=35']
Exploring Operation: 44/44=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 44/44=1
Current State: 34:[35, 1], Operations: ['22+13=35', '44/44=1']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[22, 44, 44, 13], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [44, 13, 2]
Generated Node #0,0: 34:[44, 13, 2] Operation: 44/22=2
Exploring Operation: 44/22=2, Resulting Numbers: [44, 13, 2]
Generated Node #0,1: 34:[44, 13, 2] Operation: 44/22=2
Exploring Operation: 44/44=1, Resulting Numbers: [22, 13, 1]
Generated Node #0,2: 34:[22, 13, 1] Operation: 44/44=1
Exploring Operation: 44-44=0, Resulting Numbers: [22, 13, 0]
Generated Node #0,3: 34:[22, 13, 0] Operation: 44-44=0
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[22, 13, 1], Operations: ['44/44=1']
Exploring Operation: 22-1=21, Resulting Numbers: [13, 21]
Generated Node #0,2,0: 34:[13, 21] Operation: 22-1=21
Exploring Operation: 22-13=9, Resulting Numbers: [1, 9]
Generated Node #0,2,1: 34:[1, 9] Operation: 22-13=9
Exploring Operation: 13+1=14, Resulting Numbers: [22, 14]
Generated Node #0,2,2: 34:[22, 14] Operation: 13+1=14
Exploring Operation: 22+13=35, Resulting Numbers: [1, 35]
Generated Node #0,2,3: 34:[1, 35] Operation: 22+13=35
Moving to Node #0,2,3
Current State: 34:[1, 35], Operations: ['44/44=1', '22+13=35']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 1+35=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,34 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[22, 44, 44, 13], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [22, 13, 1]
Generated Node #0,2: 34:[22, 13, 1] Operation: 44/44=1
Moving to Node #0,2
Current State: 34:[22, 13, 1], Operations: ['44/44=1']
Exploring Operation: 22+13=35, Resulting Numbers: [1, 35]
Generated Node #0,2,3: 34:[1, 35] Operation: 22+13=35
Moving to Node #0,2,3
Current State: 34:[1, 35], Operations: ['44/44=1', '22+13=35']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
56,
2,
5,
75
] | 57 | [
"75-56=19",
"5-2=3",
"19*3=57"
] | Current State: 57:[56, 2, 5, 75], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [2, 5, 19]
Generated Node #2: [2, 5, 19] from Operation: 75-56=19
Current State: 57:[2, 5, 19], Operations: ['75-56=19']
Exploring Operation: 5-2=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 5-2=3
Current State: 57:[19, 3], Operations: ['75-56=19', '5-2=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[56, 2, 5, 75], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [56, 2, 15]
Generated Node #0,0: 57:[56, 2, 15] Operation: 75/5=15
Exploring Operation: 75-56=19, Resulting Numbers: [2, 5, 19]
Generated Node #0,1: 57:[2, 5, 19] Operation: 75-56=19
Moving to Node #0,1
Current State: 57:[2, 5, 19], Operations: ['75-56=19']
Exploring Operation: 5-2=3, Resulting Numbers: [19, 3]
Generated Node #0,1,0: 57:[19, 3] Operation: 5-2=3
Exploring Operation: 2+5=7, Resulting Numbers: [19, 7]
Generated Node #0,1,1: 57:[19, 7] Operation: 2+5=7
Moving to Node #0,0
Current State: 57:[56, 2, 15], Operations: ['75/5=15']
Exploring Operation: 2+15=17, Resulting Numbers: [56, 17]
Generated Node #0,0,0: 57:[56, 17] Operation: 2+15=17
Exploring Operation: 56+2=58, Resulting Numbers: [15, 58]
Generated Node #0,0,1: 57:[15, 58] Operation: 56+2=58
Moving to Node #0,1,0
Current State: 57:[19, 3], Operations: ['75-56=19', '5-2=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[56, 2, 5, 75], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [2, 5, 19]
Generated Node #0,1: 57:[2, 5, 19] Operation: 75-56=19
Moving to Node #0,1
Current State: 57:[2, 5, 19], Operations: ['75-56=19']
Exploring Operation: 5-2=3, Resulting Numbers: [19, 3]
Generated Node #0,1,0: 57:[19, 3] Operation: 5-2=3
Moving to Node #0,1,0
Current State: 57:[19, 3], Operations: ['75-56=19', '5-2=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
48,
43,
37,
90
] | 58 | [
"48-43=5",
"90-37=53",
"5+53=58"
] | Current State: 58:[48, 43, 37, 90], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [37, 90, 5]
Generated Node #2: [37, 90, 5] from Operation: 48-43=5
Current State: 58:[37, 90, 5], Operations: ['48-43=5']
Exploring Operation: 90-37=53, Resulting Numbers: [5, 53]
Generated Node #3: [5, 53] from Operation: 90-37=53
Current State: 58:[5, 53], Operations: ['48-43=5', '90-37=53']
Exploring Operation: 5+53=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[48, 43, 37, 90], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [48, 43, 53]
Generated Node #0,0: 58:[48, 43, 53] Operation: 90-37=53
Exploring Operation: 90-43=47, Resulting Numbers: [48, 37, 47]
Generated Node #0,1: 58:[48, 37, 47] Operation: 90-43=47
Moving to Node #0,0
Current State: 58:[48, 43, 53], Operations: ['90-37=53']
Exploring Operation: 48-43=5, Resulting Numbers: [53, 5]
Generated Node #0,0,0: 58:[53, 5] Operation: 48-43=5
Exploring Operation: 53-48=5, Resulting Numbers: [43, 5]
Generated Node #0,0,1: 58:[43, 5] Operation: 53-48=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[53, 5], Operations: ['90-37=53', '48-43=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[48, 43, 37, 90], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [48, 43, 53]
Generated Node #0,0: 58:[48, 43, 53] Operation: 90-37=53
Moving to Node #0,0
Current State: 58:[48, 43, 53], Operations: ['90-37=53']
Exploring Operation: 48-43=5, Resulting Numbers: [53, 5]
Generated Node #0,0,0: 58:[53, 5] Operation: 48-43=5
Moving to Node #0,0,0
Current State: 58:[53, 5], Operations: ['90-37=53', '48-43=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
51,
71,
4,
11
] | 13 | [
"71-51=20",
"11-4=7",
"20-7=13"
] | Current State: 13:[51, 71, 4, 11], Operations: []
Exploring Operation: 71-51=20, Resulting Numbers: [4, 11, 20]
Generated Node #2: [4, 11, 20] from Operation: 71-51=20
Current State: 13:[4, 11, 20], Operations: ['71-51=20']
Exploring Operation: 11-4=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 11-4=7
Current State: 13:[20, 7], Operations: ['71-51=20', '11-4=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[51, 71, 4, 11], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [71, 4, 40]
Generated Node #0,0: 13:[71, 4, 40] Operation: 51-11=40
Exploring Operation: 71-51=20, Resulting Numbers: [4, 11, 20]
Generated Node #0,1: 13:[4, 11, 20] Operation: 71-51=20
Exploring Operation: 51-4=47, Resulting Numbers: [71, 11, 47]
Generated Node #0,2: 13:[71, 11, 47] Operation: 51-4=47
Moving to Node #0,1
Current State: 13:[4, 11, 20], Operations: ['71-51=20']
Exploring Operation: 20-4=16, Resulting Numbers: [11, 16]
Generated Node #0,1,0: 13:[11, 16] Operation: 20-4=16
Exploring Operation: 4+11=15, Resulting Numbers: [20, 15]
Generated Node #0,1,1: 13:[20, 15] Operation: 4+11=15
Exploring Operation: 20/4=5, Resulting Numbers: [11, 5]
Generated Node #0,1,2: 13:[11, 5] Operation: 20/4=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[11, 16], Operations: ['71-51=20', '20-4=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[20, 15], Operations: ['71-51=20', '4+11=15']
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 20*15=300, Resulting Numbers: [300]
300,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[11, 5], Operations: ['71-51=20', '20/4=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,13 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,13 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: 13:[71, 4, 40], Operations: ['51-11=40']
Exploring Operation: 71-4=67, Resulting Numbers: [40, 67]
Generated Node #0,0,0: 13:[40, 67] Operation: 71-4=67
Exploring Operation: 71-40=31, Resulting Numbers: [4, 31]
Generated Node #0,0,1: 13:[4, 31] Operation: 71-40=31
Exploring Operation: 40/4=10, Resulting Numbers: [71, 10]
Generated Node #0,0,2: 13:[71, 10] Operation: 40/4=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[4, 31], Operations: ['51-11=40', '71-40=31']
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,13 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 13:[71, 10], Operations: ['51-11=40', '40/4=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,13 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,13 unequal: No Solution
Exploring Operation: 71*10=710, Resulting Numbers: [710]
710,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[40, 67], Operations: ['51-11=40', '71-4=67']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,13 unequal: No Solution
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,13 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: 13:[71, 11, 47], Operations: ['51-4=47']
Exploring Operation: 47-11=36, Resulting Numbers: [71, 36]
Generated Node #0,2,0: 13:[71, 36] Operation: 47-11=36
Exploring Operation: 71-47=24, Resulting Numbers: [11, 24]
Generated Node #0,2,1: 13:[11, 24] Operation: 71-47=24
Exploring Operation: 71-11=60, Resulting Numbers: [47, 60]
Generated Node #0,2,2: 13:[47, 60] Operation: 71-11=60
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 13:[11, 24], Operations: ['51-4=47', '71-47=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[51, 71, 4, 11], Operations: []
Exploring Operation: 51-4=47, Resulting Numbers: [71, 11, 47]
Generated Node #0,2: 13:[71, 11, 47] Operation: 51-4=47
Moving to Node #0,2
Current State: 13:[71, 11, 47], Operations: ['51-4=47']
Exploring Operation: 71-47=24, Resulting Numbers: [11, 24]
Generated Node #0,2,1: 13:[11, 24] Operation: 71-47=24
Moving to Node #0,2,1
Current State: 13:[11, 24], Operations: ['51-4=47', '71-47=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
28,
64,
95,
85
] | 46 | [
"64-28=36",
"95-85=10",
"36+10=46"
] | Current State: 46:[28, 64, 95, 85], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [95, 85, 36]
Generated Node #2: [95, 85, 36] from Operation: 64-28=36
Current State: 46:[95, 85, 36], Operations: ['64-28=36']
Exploring Operation: 95-85=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 95-85=10
Current State: 46:[36, 10], Operations: ['64-28=36', '95-85=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[28, 64, 95, 85], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [28, 64, 10]
Generated Node #0,0: 46:[28, 64, 10] Operation: 95-85=10
Exploring Operation: 95-64=31, Resulting Numbers: [28, 85, 31]
Generated Node #0,1: 46:[28, 85, 31] Operation: 95-64=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[28, 64, 10], Operations: ['95-85=10']
Exploring Operation: 64-28=36, Resulting Numbers: [10, 36]
Generated Node #0,0,0: 46:[10, 36] Operation: 64-28=36
Exploring Operation: 64-10=54, Resulting Numbers: [28, 54]
Generated Node #0,0,1: 46:[28, 54] Operation: 64-10=54
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 46:[28, 54], Operations: ['95-85=10', '64-10=54']
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,46 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,46 unequal: No Solution
No 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: 46:[10, 36], Operations: ['95-85=10', '64-28=36']
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[28, 64, 95, 85], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [28, 64, 10]
Generated Node #0,0: 46:[28, 64, 10] Operation: 95-85=10
Moving to Node #0,0
Current State: 46:[28, 64, 10], Operations: ['95-85=10']
Exploring Operation: 64-28=36, Resulting Numbers: [10, 36]
Generated Node #0,0,0: 46:[10, 36] Operation: 64-28=36
Moving to Node #0,0,0
Current State: 46:[10, 36], Operations: ['95-85=10', '64-28=36']
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
54,
99,
3,
13
] | 61 | [
"99-54=45",
"3+13=16",
"45+16=61"
] | Current State: 61:[54, 99, 3, 13], Operations: []
Exploring Operation: 99-54=45, Resulting Numbers: [3, 13, 45]
Generated Node #2: [3, 13, 45] from Operation: 99-54=45
Current State: 61:[3, 13, 45], Operations: ['99-54=45']
Exploring Operation: 3+13=16, Resulting Numbers: [45, 16]
Generated Node #3: [45, 16] from Operation: 3+13=16
Current State: 61:[45, 16], Operations: ['99-54=45', '3+13=16']
Exploring Operation: 45+16=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[54, 99, 3, 13], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [54, 13, 33]
Generated Node #0,0: 61:[54, 13, 33] Operation: 99/3=33
Exploring Operation: 54+3=57, Resulting Numbers: [99, 13, 57]
Generated Node #0,1: 61:[99, 13, 57] Operation: 54+3=57
Exploring Operation: 3*13=39, Resulting Numbers: [54, 99, 39]
Generated Node #0,2: 61:[54, 99, 39] Operation: 3*13=39
Exploring Operation: 99-3=96, Resulting Numbers: [54, 13, 96]
Generated Node #0,3: 61:[54, 13, 96] Operation: 99-3=96
Moving to Node #0,2
Current State: 61:[54, 99, 39], Operations: ['3*13=39']
Exploring Operation: 54-39=15, Resulting Numbers: [99, 15]
Generated Node #0,2,0: 61:[99, 15] Operation: 54-39=15
Exploring Operation: 54+39=93, Resulting Numbers: [99, 93]
Generated Node #0,2,1: 61:[99, 93] Operation: 54+39=93
Exploring Operation: 99-54=45, Resulting Numbers: [39, 45]
Generated Node #0,2,2: 61:[39, 45] Operation: 99-54=45
Exploring Operation: 99-39=60, Resulting Numbers: [54, 60]
Generated Node #0,2,3: 61:[54, 60] Operation: 99-39=60
Moving to Node #0,0
Current State: 61:[54, 13, 33], Operations: ['99/3=33']
Exploring Operation: 54+13=67, Resulting Numbers: [33, 67]
Generated Node #0,0,0: 61:[33, 67] Operation: 54+13=67
Exploring Operation: 13+33=46, Resulting Numbers: [54, 46]
Generated Node #0,0,1: 61:[54, 46] Operation: 13+33=46
Exploring Operation: 54-13=41, Resulting Numbers: [33, 41]
Generated Node #0,0,2: 61:[33, 41] Operation: 54-13=41
Exploring Operation: 33-13=20, Resulting Numbers: [54, 20]
Generated Node #0,0,3: 61:[54, 20] Operation: 33-13=20
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[54, 46], Operations: ['99/3=33', '13+33=46']
Exploring Operation: 54*46=2484, Resulting Numbers: [2484]
2484,61 unequal: No Solution
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 54+46=100, Resulting Numbers: [100]
100,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[33, 67], Operations: ['99/3=33', '54+13=67']
Exploring Operation: 33*67=2211, Resulting Numbers: [2211]
2211,61 unequal: No Solution
Exploring Operation: 67-33=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 33+67=100, Resulting Numbers: [100]
100,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[33, 41], Operations: ['99/3=33', '54-13=41']
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 33*41=1353, Resulting Numbers: [1353]
1353,61 unequal: No Solution
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 61:[54, 20], Operations: ['99/3=33', '33-13=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,61 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,61 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: 61:[54, 13, 96], Operations: ['99-3=96']
Exploring Operation: 96-13=83, Resulting Numbers: [54, 83]
Generated Node #0,3,0: 61:[54, 83] Operation: 96-13=83
Exploring Operation: 54-13=41, Resulting Numbers: [96, 41]
Generated Node #0,3,1: 61:[96, 41] Operation: 54-13=41
Exploring Operation: 54+13=67, Resulting Numbers: [96, 67]
Generated Node #0,3,2: 61:[96, 67] Operation: 54+13=67
Exploring Operation: 13+96=109, Resulting Numbers: [54, 109]
Generated Node #0,3,3: 61:[54, 109] Operation: 13+96=109
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 61:[54, 83], Operations: ['99-3=96', '96-13=83']
Exploring Operation: 83-54=29, Resulting Numbers: [29]
29,61 unequal: No Solution
Exploring Operation: 54*83=4482, Resulting Numbers: [4482]
4482,61 unequal: No Solution
Exploring Operation: 54+83=137, Resulting Numbers: [137]
137,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 61:[96, 67], Operations: ['99-3=96', '54+13=67']
Exploring Operation: 96*67=6432, Resulting Numbers: [6432]
6432,61 unequal: No Solution
Exploring Operation: 96+67=163, Resulting Numbers: [163]
163,61 unequal: No Solution
Exploring Operation: 96-67=29, Resulting Numbers: [29]
29,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 61:[96, 41], Operations: ['99-3=96', '54-13=41']
Exploring Operation: 96+41=137, Resulting Numbers: [137]
137,61 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Exploring Operation: 96*41=3936, Resulting Numbers: [3936]
3936,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 61:[54, 109], Operations: ['99-3=96', '13+96=109']
Exploring Operation: 54+109=163, Resulting Numbers: [163]
163,61 unequal: No Solution
Exploring Operation: 109-54=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Exploring Operation: 54*109=5886, Resulting Numbers: [5886]
5886,61 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: 61:[99, 13, 57], Operations: ['54+3=57']
Exploring Operation: 57-13=44, Resulting Numbers: [99, 44]
Generated Node #0,1,0: 61:[99, 44] Operation: 57-13=44
Exploring Operation: 99+13=112, Resulting Numbers: [57, 112]
Generated Node #0,1,1: 61:[57, 112] Operation: 99+13=112
Exploring Operation: 99-13=86, Resulting Numbers: [57, 86]
Generated Node #0,1,2: 61:[57, 86] Operation: 99-13=86
Exploring Operation: 13+57=70, Resulting Numbers: [99, 70]
Generated Node #0,1,3: 61:[99, 70] Operation: 13+57=70
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[57, 86], Operations: ['54+3=57', '99-13=86']
Exploring Operation: 86-57=29, Resulting Numbers: [29]
29,61 unequal: No Solution
Exploring Operation: 57*86=4902, Resulting Numbers: [4902]
4902,61 unequal: No Solution
Exploring Operation: 57+86=143, Resulting Numbers: [143]
143,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 61:[99, 70], Operations: ['54+3=57', '13+57=70']
Exploring Operation: 99-70=29, Resulting Numbers: [29]
29,61 unequal: No Solution
Exploring Operation: 99+70=169, Resulting Numbers: [169]
169,61 unequal: No Solution
Exploring Operation: 99*70=6930, Resulting Numbers: [6930]
6930,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[99, 44], Operations: ['54+3=57', '57-13=44']
Exploring Operation: 99+44=143, Resulting Numbers: [143]
143,61 unequal: No Solution
Exploring Operation: 99-44=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Exploring Operation: 99*44=4356, Resulting Numbers: [4356]
4356,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[57, 112], Operations: ['54+3=57', '99+13=112']
Exploring Operation: 57*112=6384, Resulting Numbers: [6384]
6384,61 unequal: No Solution
Exploring Operation: 57+112=169, Resulting Numbers: [169]
169,61 unequal: No Solution
Exploring Operation: 112-57=55, Resulting Numbers: [55]
55,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 61:[54, 60], Operations: ['3*13=39', '99-39=60']
Exploring Operation: 54*60=3240, Resulting Numbers: [3240]
3240,61 unequal: No Solution
Exploring Operation: 60-54=6, Resulting Numbers: [6]
6,61 unequal: No Solution
Exploring Operation: 54+60=114, Resulting Numbers: [114]
114,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[39, 45], Operations: ['3*13=39', '99-54=45']
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,61 unequal: No Solution
Exploring Operation: 39*45=1755, Resulting Numbers: [1755]
1755,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[99, 93], Operations: ['3*13=39', '54+39=93']
Exploring Operation: 99-93=6, Resulting Numbers: [6]
6,61 unequal: No Solution
Exploring Operation: 99+93=192, Resulting Numbers: [192]
192,61 unequal: No Solution
Exploring Operation: 99*93=9207, Resulting Numbers: [9207]
9207,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[99, 15], Operations: ['3*13=39', '54-39=15']
Exploring Operation: 99*15=1485, Resulting Numbers: [1485]
1485,61 unequal: No Solution
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 99+15=114, Resulting Numbers: [114]
114,61 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
44,
82,
12,
63
] | 37 | [
"82-44=38",
"12+63=75",
"75-38=37"
] | Current State: 37:[44, 82, 12, 63], Operations: []
Exploring Operation: 82-44=38, Resulting Numbers: [12, 63, 38]
Generated Node #2: [12, 63, 38] from Operation: 82-44=38
Current State: 37:[12, 63, 38], Operations: ['82-44=38']
Exploring Operation: 12+63=75, Resulting Numbers: [38, 75]
Generated Node #3: [38, 75] from Operation: 12+63=75
Current State: 37:[38, 75], Operations: ['82-44=38', '12+63=75']
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[44, 82, 12, 63], Operations: []
Exploring Operation: 82-63=19, Resulting Numbers: [44, 12, 19]
Generated Node #0,0: 37:[44, 12, 19] Operation: 82-63=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[44, 12, 19], Operations: ['82-63=19']
Exploring Operation: 12+19=31, Resulting Numbers: [44, 31]
Generated Node #0,0,0: 37:[44, 31] Operation: 12+19=31
Moving to Node #0,0,0
Current State: 37:[44, 31], Operations: ['82-63=19', '12+19=31']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,37 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 |
[
33,
79,
10,
87
] | 47 | [
"87-79=8",
"10*8=80",
"80-33=47"
] | Current State: 47:[33, 79, 10, 87], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [33, 10, 8]
Generated Node #2: [33, 10, 8] from Operation: 87-79=8
Current State: 47:[33, 10, 8], Operations: ['87-79=8']
Exploring Operation: 10*8=80, Resulting Numbers: [33, 80]
Generated Node #3: [33, 80] from Operation: 10*8=80
Current State: 47:[33, 80], Operations: ['87-79=8', '10*8=80']
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[33, 79, 10, 87], Operations: []
Exploring Operation: 33+10=43, Resulting Numbers: [79, 87, 43]
Generated Node #0,0: 47:[79, 87, 43] Operation: 33+10=43
Exploring Operation: 87-33=54, Resulting Numbers: [79, 10, 54]
Generated Node #0,1: 47:[79, 10, 54] Operation: 87-33=54
Exploring Operation: 79-10=69, Resulting Numbers: [33, 87, 69]
Generated Node #0,2: 47:[33, 87, 69] Operation: 79-10=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[79, 87, 43], Operations: ['33+10=43']
Exploring Operation: 87-79=8, Resulting Numbers: [43, 8]
Generated Node #0,0,0: 47:[43, 8] Operation: 87-79=8
Exploring Operation: 79-43=36, Resulting Numbers: [87, 36]
Generated Node #0,0,1: 47:[87, 36] Operation: 79-43=36
Exploring Operation: 87-43=44, Resulting Numbers: [79, 44]
Generated Node #0,0,2: 47:[79, 44] Operation: 87-43=44
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[79, 44], Operations: ['33+10=43', '87-43=44']
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 79*44=3476, Resulting Numbers: [3476]
3476,47 unequal: No Solution
Exploring Operation: 79+44=123, Resulting Numbers: [123]
123,47 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 #0,0,0
Current State: 47:[43, 8], Operations: ['33+10=43', '87-79=8']
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,47 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:[87, 36], Operations: ['33+10=43', '79-43=36']
Exploring Operation: 87+36=123, Resulting Numbers: [123]
123,47 unequal: No Solution
Exploring Operation: 87*36=3132, Resulting Numbers: [3132]
3132,47 unequal: No Solution
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,47 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:[79, 10, 54], Operations: ['87-33=54']
Exploring Operation: 54-10=44, Resulting Numbers: [79, 44]
Generated Node #0,1,0: 47:[79, 44] Operation: 54-10=44
Exploring Operation: 79+10=89, Resulting Numbers: [54, 89]
Generated Node #0,1,1: 47:[54, 89] Operation: 79+10=89
Exploring Operation: 79-10=69, Resulting Numbers: [54, 69]
Generated Node #0,1,2: 47:[54, 69] Operation: 79-10=69
Moving to Node #0,1,2
Current State: 47:[54, 69], Operations: ['87-33=54', '79-10=69']
Exploring Operation: 54*69=3726, Resulting Numbers: [3726]
3726,47 unequal: No Solution
Exploring Operation: 54+69=123, Resulting Numbers: [123]
123,47 unequal: No Solution
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[79, 44], Operations: ['87-33=54', '54-10=44']
Exploring Operation: 79*44=3476, Resulting Numbers: [3476]
3476,47 unequal: No Solution
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 79+44=123, Resulting Numbers: [123]
123,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[54, 89], Operations: ['87-33=54', '79+10=89']
Exploring Operation: 54+89=143, Resulting Numbers: [143]
143,47 unequal: No Solution
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 54*89=4806, Resulting Numbers: [4806]
4806,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[33, 87, 69], Operations: ['79-10=69']
Exploring Operation: 87-33=54, Resulting Numbers: [69, 54]
Generated Node #0,2,0: 47:[69, 54] Operation: 87-33=54
Exploring Operation: 87-69=18, Resulting Numbers: [33, 18]
Generated Node #0,2,1: 47:[33, 18] Operation: 87-69=18
Exploring Operation: 69-33=36, Resulting Numbers: [87, 36]
Generated Node #0,2,2: 47:[87, 36] Operation: 69-33=36
Moving to Node #0,2,0
Current State: 47:[69, 54], Operations: ['79-10=69', '87-33=54']
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 69+54=123, Resulting Numbers: [123]
123,47 unequal: No Solution
Exploring Operation: 69*54=3726, Resulting Numbers: [3726]
3726,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[33, 18], Operations: ['79-10=69', '87-69=18']
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 33*18=594, Resulting Numbers: [594]
594,47 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[87, 36], Operations: ['79-10=69', '69-33=36']
Exploring Operation: 87+36=123, Resulting Numbers: [123]
123,47 unequal: No Solution
Exploring Operation: 87*36=3132, Resulting Numbers: [3132]
3132,47 unequal: No Solution
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,47 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 |
[
40,
50,
68,
96
] | 70 | [
"50*96=4800",
"4800-40=4760",
"4760/68=70"
] | Current State: 70:[40, 50, 68, 96], Operations: []
Exploring Operation: 50*96=4800, Resulting Numbers: [40, 68, 4800]
Generated Node #2: [40, 68, 4800] from Operation: 50*96=4800
Current State: 70:[40, 68, 4800], Operations: ['50*96=4800']
Exploring Operation: 4800-40=4760, Resulting Numbers: [68, 4760]
Generated Node #3: [68, 4760] from Operation: 4800-40=4760
Current State: 70:[68, 4760], Operations: ['50*96=4800', '4800-40=4760']
Exploring Operation: 4760/68=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[40, 50, 68, 96], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [40, 50, 28]
Generated Node #0,0: 70:[40, 50, 28] Operation: 96-68=28
Exploring Operation: 50-40=10, Resulting Numbers: [68, 96, 10]
Generated Node #0,1: 70:[68, 96, 10] Operation: 50-40=10
Exploring Operation: 96-50=46, Resulting Numbers: [40, 68, 46]
Generated Node #0,2: 70:[40, 68, 46] Operation: 96-50=46
Moving to Node #0,2
Current State: 70:[40, 68, 46], Operations: ['96-50=46']
Exploring Operation: 68-40=28, Resulting Numbers: [46, 28]
Generated Node #0,2,0: 70:[46, 28] Operation: 68-40=28
Exploring Operation: 68-46=22, Resulting Numbers: [40, 22]
Generated Node #0,2,1: 70:[40, 22] Operation: 68-46=22
Exploring Operation: 46-40=6, Resulting Numbers: [68, 6]
Generated Node #0,2,2: 70:[68, 6] Operation: 46-40=6
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 70:[68, 6], Operations: ['96-50=46', '46-40=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,70 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 68*6=408, Resulting Numbers: [408]
408,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 70:[40, 22], Operations: ['96-50=46', '68-46=22']
Exploring Operation: 40*22=880, Resulting Numbers: [880]
880,70 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 70:[46, 28], Operations: ['96-50=46', '68-40=28']
Exploring Operation: 46*28=1288, Resulting Numbers: [1288]
1288,70 unequal: No Solution
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,70 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,70 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: 70:[40, 50, 28], Operations: ['96-68=28']
Exploring Operation: 50-40=10, Resulting Numbers: [28, 10]
Generated Node #0,0,0: 70:[28, 10] Operation: 50-40=10
Exploring Operation: 50-28=22, Resulting Numbers: [40, 22]
Generated Node #0,0,1: 70:[40, 22] Operation: 50-28=22
Exploring Operation: 50+28=78, Resulting Numbers: [40, 78]
Generated Node #0,0,2: 70:[40, 78] Operation: 50+28=78
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[28, 10], Operations: ['96-68=28', '50-40=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,70 unequal: No Solution
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,70 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[40, 22], Operations: ['96-68=28', '50-28=22']
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Exploring Operation: 40*22=880, Resulting Numbers: [880]
880,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[40, 78], Operations: ['96-68=28', '50+28=78']
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,70 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,70 unequal: No Solution
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 70:[68, 96, 10], Operations: ['50-40=10']
Exploring Operation: 68+10=78, Resulting Numbers: [96, 78]
Generated Node #0,1,0: 70:[96, 78] Operation: 68+10=78
Exploring Operation: 96-10=86, Resulting Numbers: [68, 86]
Generated Node #0,1,1: 70:[68, 86] Operation: 96-10=86
Exploring Operation: 96-68=28, Resulting Numbers: [10, 28]
Generated Node #0,1,2: 70:[10, 28] Operation: 96-68=28
Moving to Node #0,1,2
Current State: 70:[10, 28], Operations: ['50-40=10', '96-68=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,70 unequal: No Solution
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,70 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[68, 86], Operations: ['50-40=10', '96-10=86']
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Exploring Operation: 68*86=5848, Resulting Numbers: [5848]
5848,70 unequal: No Solution
Exploring Operation: 68+86=154, Resulting Numbers: [154]
154,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[96, 78], Operations: ['50-40=10', '68+10=78']
Exploring Operation: 96+78=174, Resulting Numbers: [174]
174,70 unequal: No Solution
Exploring Operation: 96*78=7488, Resulting Numbers: [7488]
7488,70 unequal: No Solution
Exploring Operation: 96-78=18, Resulting Numbers: [18]
18,70 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
70,
30,
68,
2
] | 58 | [
"70-68=2",
"30*2=60",
"60-2=58"
] | Current State: 58:[70, 30, 68, 2], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [30, 2, 2]
Generated Node #2: [30, 2, 2] from Operation: 70-68=2
Current State: 58:[30, 2, 2], Operations: ['70-68=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,58 equal: Goal Reached
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[70, 30, 68, 2], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [30, 2, 2]
Generated Node #0,0: 58:[30, 2, 2] Operation: 70-68=2
Moving to Node #0,0
Current State: 58:[30, 2, 2], Operations: ['70-68=2']
Exploring Operation: 30-2=28, Resulting Numbers: [2, 28]
Generated Node #0,0,0: 58:[2, 28] Operation: 30-2=28
Moving to Node #0,0,0
Current State: 58:[2, 28], Operations: ['70-68=2', '30-2=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,58 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
67,
16,
60,
31
] | 80 | [
"67-16=51",
"60-31=29",
"51+29=80"
] | Current State: 80:[67, 16, 60, 31], Operations: []
Exploring Operation: 67-16=51, Resulting Numbers: [60, 31, 51]
Generated Node #2: [60, 31, 51] from Operation: 67-16=51
Current State: 80:[60, 31, 51], Operations: ['67-16=51']
Exploring Operation: 60-31=29, Resulting Numbers: [51, 29]
Generated Node #3: [51, 29] from Operation: 60-31=29
Current State: 80:[51, 29], Operations: ['67-16=51', '60-31=29']
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[67, 16, 60, 31], Operations: []
Exploring Operation: 67-31=36, Resulting Numbers: [16, 60, 36]
Generated Node #0,0: 80:[16, 60, 36] Operation: 67-31=36
Exploring Operation: 60-31=29, Resulting Numbers: [67, 16, 29]
Generated Node #0,1: 80:[67, 16, 29] Operation: 60-31=29
Exploring Operation: 60+31=91, Resulting Numbers: [67, 16, 91]
Generated Node #0,2: 80:[67, 16, 91] Operation: 60+31=91
Exploring Operation: 67-60=7, Resulting Numbers: [16, 31, 7]
Generated Node #0,3: 80:[16, 31, 7] Operation: 67-60=7
Moving to Node #0,3
Current State: 80:[16, 31, 7], Operations: ['67-60=7']
Exploring Operation: 31+7=38, Resulting Numbers: [16, 38]
Generated Node #0,3,0: 80:[16, 38] Operation: 31+7=38
Exploring Operation: 31-7=24, Resulting Numbers: [16, 24]
Generated Node #0,3,1: 80:[16, 24] Operation: 31-7=24
Exploring Operation: 16+31=47, Resulting Numbers: [7, 47]
Generated Node #0,3,2: 80:[7, 47] Operation: 16+31=47
Exploring Operation: 31-16=15, Resulting Numbers: [7, 15]
Generated Node #0,3,3: 80:[7, 15] Operation: 31-16=15
Moving to Node #0,1
Current State: 80:[67, 16, 29], Operations: ['60-31=29']
Exploring Operation: 67-29=38, Resulting Numbers: [16, 38]
Generated Node #0,1,0: 80:[16, 38] Operation: 67-29=38
Exploring Operation: 29-16=13, Resulting Numbers: [67, 13]
Generated Node #0,1,1: 80:[67, 13] Operation: 29-16=13
Exploring Operation: 67+29=96, Resulting Numbers: [16, 96]
Generated Node #0,1,2: 80:[16, 96] Operation: 67+29=96
Exploring Operation: 67+16=83, Resulting Numbers: [29, 83]
Generated Node #0,1,3: 80:[29, 83] Operation: 67+16=83
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[16, 38], Operations: ['60-31=29', '67-29=38']
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,80 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,80 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 80:[29, 83], Operations: ['60-31=29', '67+16=83']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 29*83=2407, Resulting Numbers: [2407]
2407,80 unequal: No Solution
Exploring Operation: 29+83=112, Resulting Numbers: [112]
112,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[67, 13], Operations: ['60-31=29', '29-16=13']
Exploring Operation: 67-13=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 67+13=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[67, 16, 60, 31], Operations: []
Exploring Operation: 60-31=29, Resulting Numbers: [67, 16, 29]
Generated Node #0,1: 80:[67, 16, 29] Operation: 60-31=29
Moving to Node #0,1
Current State: 80:[67, 16, 29], Operations: ['60-31=29']
Exploring Operation: 29-16=13, Resulting Numbers: [67, 13]
Generated Node #0,1,1: 80:[67, 13] Operation: 29-16=13
Moving to Node #0,1,1
Current State: 80:[67, 13], Operations: ['60-31=29', '29-16=13']
Exploring Operation: 67+13=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
14,
72,
77,
87
] | 48 | [
"72-14=58",
"87-77=10",
"58-10=48"
] | Current State: 48:[14, 72, 77, 87], Operations: []
Exploring Operation: 72-14=58, Resulting Numbers: [77, 87, 58]
Generated Node #2: [77, 87, 58] from Operation: 72-14=58
Current State: 48:[77, 87, 58], Operations: ['72-14=58']
Exploring Operation: 87-77=10, Resulting Numbers: [58, 10]
Generated Node #3: [58, 10] from Operation: 87-77=10
Current State: 48:[58, 10], Operations: ['72-14=58', '87-77=10']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[14, 72, 77, 87], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [14, 87, 5]
Generated Node #0,0: 48:[14, 87, 5] Operation: 77-72=5
Exploring Operation: 87-77=10, Resulting Numbers: [14, 72, 10]
Generated Node #0,1: 48:[14, 72, 10] Operation: 87-77=10
Exploring Operation: 87-72=15, Resulting Numbers: [14, 77, 15]
Generated Node #0,2: 48:[14, 77, 15] Operation: 87-72=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[14, 72, 10], Operations: ['87-77=10']
Exploring Operation: 72-10=62, Resulting Numbers: [14, 62]
Generated Node #0,1,0: 48:[14, 62] Operation: 72-10=62
Exploring Operation: 72-14=58, Resulting Numbers: [10, 58]
Generated Node #0,1,1: 48:[10, 58] Operation: 72-14=58
Exploring Operation: 14+10=24, Resulting Numbers: [72, 24]
Generated Node #0,1,2: 48:[72, 24] Operation: 14+10=24
Moving to Node #0,1,1
Current State: 48:[10, 58], Operations: ['87-77=10', '72-14=58']
Exploring Operation: 10+58=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[14, 72, 77, 87], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [14, 72, 10]
Generated Node #0,1: 48:[14, 72, 10] Operation: 87-77=10
Moving to Node #0,1
Current State: 48:[14, 72, 10], Operations: ['87-77=10']
Exploring Operation: 72-14=58, Resulting Numbers: [10, 58]
Generated Node #0,1,1: 48:[10, 58] Operation: 72-14=58
Moving to Node #0,1,1
Current State: 48:[10, 58], Operations: ['87-77=10', '72-14=58']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
96,
52,
70,
60
] | 58 | [
"96-70=26",
"52/26=2",
"60-2=58"
] | Current State: 58:[96, 52, 70, 60], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [52, 60, 26]
Generated Node #2: [52, 60, 26] from Operation: 96-70=26
Current State: 58:[52, 60, 26], Operations: ['96-70=26']
Exploring Operation: 52/26=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 52/26=2
Current State: 58:[60, 2], Operations: ['96-70=26', '52/26=2']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[96, 52, 70, 60], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [52, 60, 26]
Generated Node #0,0: 58:[52, 60, 26] Operation: 96-70=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[52, 60, 26], Operations: ['96-70=26']
Exploring Operation: 52/26=2, Resulting Numbers: [60, 2]
Generated Node #0,0,0: 58:[60, 2] Operation: 52/26=2
Moving to Node #0,0,0
Current State: 58:[60, 2], Operations: ['96-70=26', '52/26=2']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[96, 52, 70, 60], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [52, 60, 26]
Generated Node #0,0: 58:[52, 60, 26] Operation: 96-70=26
Moving to Node #0,0
Current State: 58:[52, 60, 26], Operations: ['96-70=26']
Exploring Operation: 52/26=2, Resulting Numbers: [60, 2]
Generated Node #0,0,0: 58:[60, 2] Operation: 52/26=2
Moving to Node #0,0,0
Current State: 58:[60, 2], Operations: ['96-70=26', '52/26=2']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
51,
82,
2,
10
] | 87 | [
"82-10=72",
"72/2=36",
"51+36=87"
] | Current State: 87:[51, 82, 2, 10], Operations: []
Exploring Operation: 82-10=72, Resulting Numbers: [51, 2, 72]
Generated Node #2: [51, 2, 72] from Operation: 82-10=72
Current State: 87:[51, 2, 72], Operations: ['82-10=72']
Exploring Operation: 72/2=36, Resulting Numbers: [51, 36]
Generated Node #3: [51, 36] from Operation: 72/2=36
Current State: 87:[51, 36], Operations: ['82-10=72', '72/2=36']
Exploring Operation: 51+36=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[51, 82, 2, 10], Operations: []
Exploring Operation: 82-51=31, Resulting Numbers: [2, 10, 31]
Generated Node #0,0: 87:[2, 10, 31] Operation: 82-51=31
Exploring Operation: 51*2=102, Resulting Numbers: [82, 10, 102]
Generated Node #0,1: 87:[82, 10, 102] Operation: 51*2=102
Exploring Operation: 10/2=5, Resulting Numbers: [51, 82, 5]
Generated Node #0,2: 87:[51, 82, 5] Operation: 10/2=5
Exploring Operation: 51-10=41, Resulting Numbers: [82, 2, 41]
Generated Node #0,3: 87:[82, 2, 41] Operation: 51-10=41
Exploring Operation: 82+10=92, Resulting Numbers: [51, 2, 92]
Generated Node #0,4: 87:[51, 2, 92] Operation: 82+10=92
Moving to Node #0,0
Current State: 87:[2, 10, 31], Operations: ['82-51=31']
Exploring Operation: 10-2=8, Resulting Numbers: [31, 8]
Generated Node #0,0,0: 87:[31, 8] Operation: 10-2=8
Exploring Operation: 31-2=29, Resulting Numbers: [10, 29]
Generated Node #0,0,1: 87:[10, 29] Operation: 31-2=29
Exploring Operation: 2+10=12, Resulting Numbers: [31, 12]
Generated Node #0,0,2: 87:[31, 12] Operation: 2+10=12
Exploring Operation: 10/2=5, Resulting Numbers: [31, 5]
Generated Node #0,0,3: 87:[31, 5] Operation: 10/2=5
Exploring Operation: 31-10=21, Resulting Numbers: [2, 21]
Generated Node #0,0,4: 87:[2, 21] Operation: 31-10=21
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 87:[31, 5], Operations: ['82-51=31', '10/2=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,87 unequal: No Solution
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,87 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[31, 8], Operations: ['82-51=31', '10-2=8']
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[10, 29], Operations: ['82-51=31', '31-2=29']
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,87 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 87:[2, 21], Operations: ['82-51=31', '31-10=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 87:[31, 12], Operations: ['82-51=31', '2+10=12']
Exploring Operation: 31*12=372, Resulting Numbers: [372]
372,87 unequal: No Solution
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,87 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: 87:[82, 2, 41], Operations: ['51-10=41']
Exploring Operation: 41-2=39, Resulting Numbers: [82, 39]
Generated Node #0,3,0: 87:[82, 39] Operation: 41-2=39
Exploring Operation: 2*41=82, Resulting Numbers: [82, 82]
Generated Node #0,3,1: 87:[82, 82] Operation: 2*41=82
Exploring Operation: 82-41=41, Resulting Numbers: [2, 41]
Generated Node #0,3,2: 87:[2, 41] Operation: 82-41=41
Exploring Operation: 82/41=2, Resulting Numbers: [2, 2]
Generated Node #0,3,3: 87:[2, 2] Operation: 82/41=2
Exploring Operation: 82+2=84, Resulting Numbers: [41, 84]
Generated Node #0,3,4: 87:[41, 84] Operation: 82+2=84
Moving to Node #0,1
Current State: 87:[82, 10, 102], Operations: ['51*2=102']
Exploring Operation: 82-10=72, Resulting Numbers: [102, 72]
Generated Node #0,1,0: 87:[102, 72] Operation: 82-10=72
Exploring Operation: 102-10=92, Resulting Numbers: [82, 92]
Generated Node #0,1,1: 87:[82, 92] Operation: 102-10=92
Exploring Operation: 10+102=112, Resulting Numbers: [82, 112]
Generated Node #0,1,2: 87:[82, 112] Operation: 10+102=112
Exploring Operation: 82+10=92, Resulting Numbers: [102, 92]
Generated Node #0,1,3: 87:[102, 92] Operation: 82+10=92
Exploring Operation: 102-82=20, Resulting Numbers: [10, 20]
Generated Node #0,1,4: 87:[10, 20] Operation: 102-82=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[82, 92], Operations: ['51*2=102', '102-10=92']
Exploring Operation: 82+92=174, Resulting Numbers: [174]
174,87 unequal: No Solution
Exploring Operation: 92-82=10, Resulting Numbers: [10]
10,87 unequal: No Solution
Exploring Operation: 82*92=7544, Resulting Numbers: [7544]
7544,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 87:[10, 20], Operations: ['51*2=102', '102-82=20']
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,87 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 87:[102, 92], Operations: ['51*2=102', '82+10=92']
Exploring Operation: 102+92=194, Resulting Numbers: [194]
194,87 unequal: No Solution
Exploring Operation: 102-92=10, Resulting Numbers: [10]
10,87 unequal: No Solution
Exploring Operation: 102*92=9384, Resulting Numbers: [9384]
9384,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[102, 72], Operations: ['51*2=102', '82-10=72']
Exploring Operation: 102-72=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 102*72=7344, Resulting Numbers: [7344]
7344,87 unequal: No Solution
Exploring Operation: 102+72=174, Resulting Numbers: [174]
174,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[82, 112], Operations: ['51*2=102', '10+102=112']
Exploring Operation: 112-82=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 82*112=9184, Resulting Numbers: [9184]
9184,87 unequal: No Solution
Exploring Operation: 82+112=194, Resulting Numbers: [194]
194,87 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: 87:[51, 2, 92], Operations: ['82+10=92']
Exploring Operation: 92-2=90, Resulting Numbers: [51, 90]
Generated Node #0,4,0: 87:[51, 90] Operation: 92-2=90
Exploring Operation: 51+2=53, Resulting Numbers: [92, 53]
Generated Node #0,4,1: 87:[92, 53] Operation: 51+2=53
Exploring Operation: 51-2=49, Resulting Numbers: [92, 49]
Generated Node #0,4,2: 87:[92, 49] Operation: 51-2=49
Exploring Operation: 51*2=102, Resulting Numbers: [92, 102]
Generated Node #0,4,3: 87:[92, 102] Operation: 51*2=102
Exploring Operation: 92-51=41, Resulting Numbers: [2, 41]
Generated Node #0,4,4: 87:[2, 41] Operation: 92-51=41
Moving to Node #0,2
Current State: 87:[51, 82, 5], Operations: ['10/2=5']
Exploring Operation: 82+5=87, Resulting Numbers: [51, 87]
Generated Node #0,2,0: 87:[51, 87] Operation: 82+5=87
Exploring Operation: 82-5=77, Resulting Numbers: [51, 77]
Generated Node #0,2,1: 87:[51, 77] Operation: 82-5=77
Exploring Operation: 51-5=46, Resulting Numbers: [82, 46]
Generated Node #0,2,2: 87:[82, 46] Operation: 51-5=46
Exploring Operation: 51+5=56, Resulting Numbers: [82, 56]
Generated Node #0,2,3: 87:[82, 56] Operation: 51+5=56
Exploring Operation: 82-51=31, Resulting Numbers: [5, 31]
Generated Node #0,2,4: 87:[5, 31] Operation: 82-51=31
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 87:[5, 31], Operations: ['10/2=5', '82-51=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,87 unequal: No Solution
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,87 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[51, 87], Operations: ['10/2=5', '82+5=87']
Exploring Operation: 51+87=138, Resulting Numbers: [138]
138,87 unequal: No Solution
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,87 unequal: No Solution
Exploring Operation: 51*87=4437, Resulting Numbers: [4437]
4437,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 87:[82, 46], Operations: ['10/2=5', '51-5=46']
Exploring Operation: 82*46=3772, Resulting Numbers: [3772]
3772,87 unequal: No Solution
Exploring Operation: 82+46=128, Resulting Numbers: [128]
128,87 unequal: No Solution
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 87:[51, 77], Operations: ['10/2=5', '82-5=77']
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 51*77=3927, Resulting Numbers: [3927]
3927,87 unequal: No Solution
Exploring Operation: 51+77=128, Resulting Numbers: [128]
128,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 87:[82, 56], Operations: ['10/2=5', '51+5=56']
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 82+56=138, Resulting Numbers: [138]
138,87 unequal: No Solution
Exploring Operation: 82*56=4592, Resulting Numbers: [4592]
4592,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 87:[2, 2], Operations: ['51-10=41', '82/41=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,87 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Moving to Node #0,3,1
Current State: 87:[82, 82], Operations: ['51-10=41', '2*41=82']
Exploring Operation: 82/82=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 82-82=0, Resulting Numbers: [0]
0,87 unequal: No Solution
Exploring Operation: 82*82=6724, Resulting Numbers: [6724]
6724,87 unequal: No Solution
Exploring Operation: 82+82=164, Resulting Numbers: [164]
164,87 unequal: No Solution
Moving to Node #0,3,2
Current State: 87:[2, 41], Operations: ['51-10=41', '82-41=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Moving to Node #0,4,4
Current State: 87:[2, 41], Operations: ['82+10=92', '92-51=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Moving to Node #0,3,4
Current State: 87:[41, 84], Operations: ['51-10=41', '82+2=84']
Exploring Operation: 41*84=3444, Resulting Numbers: [3444]
3444,87 unequal: No Solution
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 41+84=125, Resulting Numbers: [125]
125,87 unequal: No Solution
Moving to Node #0,3,0
Current State: 87:[82, 39], Operations: ['51-10=41', '41-2=39']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 82+39=121, Resulting Numbers: [121]
121,87 unequal: No Solution
Exploring Operation: 82*39=3198, Resulting Numbers: [3198]
3198,87 unequal: No Solution
Moving to Node #0,4,3
Current State: 87:[92, 102], Operations: ['82+10=92', '51*2=102']
Exploring Operation: 102-92=10, Resulting Numbers: [10]
10,87 unequal: No Solution
Exploring Operation: 92+102=194, Resulting Numbers: [194]
194,87 unequal: No Solution
Exploring Operation: 92*102=9384, Resulting Numbers: [9384]
9384,87 unequal: No Solution
Moving to Node #0,4,0
Current State: 87:[51, 90], Operations: ['82+10=92', '92-2=90']
Exploring Operation: 51*90=4590, Resulting Numbers: [4590]
4590,87 unequal: No Solution
Exploring Operation: 51+90=141, Resulting Numbers: [141]
141,87 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Moving to Node #0,4,2
Current State: 87:[92, 49], Operations: ['82+10=92', '51-2=49']
Exploring Operation: 92-49=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 92*49=4508, Resulting Numbers: [4508]
4508,87 unequal: No Solution
Exploring Operation: 92+49=141, Resulting Numbers: [141]
141,87 unequal: No Solution
Moving to Node #0,4,1
Current State: 87:[92, 53], Operations: ['82+10=92', '51+2=53']
Exploring Operation: 92-53=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Exploring Operation: 92*53=4876, Resulting Numbers: [4876]
4876,87 unequal: No Solution
Exploring Operation: 92+53=145, Resulting Numbers: [145]
145,87 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
90,
65,
10,
43
] | 28 | [
"90-65=25",
"10+43=53",
"53-25=28"
] | Current State: 28:[90, 65, 10, 43], Operations: []
Exploring Operation: 90-65=25, Resulting Numbers: [10, 43, 25]
Generated Node #2: [10, 43, 25] from Operation: 90-65=25
Current State: 28:[10, 43, 25], Operations: ['90-65=25']
Exploring Operation: 10+43=53, Resulting Numbers: [25, 53]
Generated Node #3: [25, 53] from Operation: 10+43=53
Current State: 28:[25, 53], Operations: ['90-65=25', '10+43=53']
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[90, 65, 10, 43], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [65, 43, 9]
Generated Node #0,0: 28:[65, 43, 9] Operation: 90/10=9
Exploring Operation: 65-43=22, Resulting Numbers: [90, 10, 22]
Generated Node #0,1: 28:[90, 10, 22] Operation: 65-43=22
Exploring Operation: 90-43=47, Resulting Numbers: [65, 10, 47]
Generated Node #0,2: 28:[65, 10, 47] Operation: 90-43=47
Exploring Operation: 90-10=80, Resulting Numbers: [65, 43, 80]
Generated Node #0,3: 28:[65, 43, 80] Operation: 90-10=80
Exploring Operation: 90-65=25, Resulting Numbers: [10, 43, 25]
Generated Node #0,4: 28:[10, 43, 25] Operation: 90-65=25
Moving to Node #0,4
Current State: 28:[10, 43, 25], Operations: ['90-65=25']
Exploring Operation: 10+43=53, Resulting Numbers: [25, 53]
Generated Node #0,4,0: 28:[25, 53] Operation: 10+43=53
Exploring Operation: 25-10=15, Resulting Numbers: [43, 15]
Generated Node #0,4,1: 28:[43, 15] Operation: 25-10=15
Exploring Operation: 10+25=35, Resulting Numbers: [43, 35]
Generated Node #0,4,2: 28:[43, 35] Operation: 10+25=35
Exploring Operation: 43-10=33, Resulting Numbers: [25, 33]
Generated Node #0,4,3: 28:[25, 33] Operation: 43-10=33
Exploring Operation: 43-25=18, Resulting Numbers: [10, 18]
Generated Node #0,4,4: 28:[10, 18] Operation: 43-25=18
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 28:[10, 18], Operations: ['90-65=25', '43-25=18']
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,28 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[90, 65, 10, 43], Operations: []
Exploring Operation: 90-65=25, Resulting Numbers: [10, 43, 25]
Generated Node #0,4: 28:[10, 43, 25] Operation: 90-65=25
Moving to Node #0,4
Current State: 28:[10, 43, 25], Operations: ['90-65=25']
Exploring Operation: 43-25=18, Resulting Numbers: [10, 18]
Generated Node #0,4,4: 28:[10, 18] Operation: 43-25=18
Moving to Node #0,4,4
Current State: 28:[10, 18], Operations: ['90-65=25', '43-25=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
33,
46,
99,
75
] | 27 | [
"33*99=3267",
"46+75=121",
"3267/121=27"
] | Current State: 27:[33, 46, 99, 75], Operations: []
Exploring Operation: 33*99=3267, Resulting Numbers: [46, 75, 3267]
Generated Node #2: [46, 75, 3267] from Operation: 33*99=3267
Current State: 27:[46, 75, 3267], Operations: ['33*99=3267']
Exploring Operation: 46+75=121, Resulting Numbers: [3267, 121]
Generated Node #3: [3267, 121] from Operation: 46+75=121
Current State: 27:[3267, 121], Operations: ['33*99=3267', '46+75=121']
Exploring Operation: 3267/121=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[33, 46, 99, 75], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [33, 46, 24]
Generated Node #0,0: 27:[33, 46, 24] Operation: 99-75=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[33, 46, 24], Operations: ['99-75=24']
Exploring Operation: 46-33=13, Resulting Numbers: [24, 13]
Generated Node #0,0,0: 27:[24, 13] Operation: 46-33=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[24, 13], Operations: ['99-75=24', '46-33=13']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,27 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 |
[
14,
39,
65,
10
] | 91 | [
"14-10=4",
"39*4=156",
"156-65=91"
] | Current State: 91:[14, 39, 65, 10], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [39, 65, 4]
Generated Node #2: [39, 65, 4] from Operation: 14-10=4
Current State: 91:[39, 65, 4], Operations: ['14-10=4']
Exploring Operation: 39*4=156, Resulting Numbers: [65, 156]
Generated Node #3: [65, 156] from Operation: 39*4=156
Current State: 91:[65, 156], Operations: ['14-10=4', '39*4=156']
Exploring Operation: 156-65=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[14, 39, 65, 10], Operations: []
Exploring Operation: 39-10=29, Resulting Numbers: [14, 65, 29]
Generated Node #0,0: 91:[14, 65, 29] Operation: 39-10=29
Exploring Operation: 65-39=26, Resulting Numbers: [14, 10, 26]
Generated Node #0,1: 91:[14, 10, 26] Operation: 65-39=26
Exploring Operation: 14+65=79, Resulting Numbers: [39, 10, 79]
Generated Node #0,2: 91:[39, 10, 79] Operation: 14+65=79
Exploring Operation: 39+65=104, Resulting Numbers: [14, 10, 104]
Generated Node #0,3: 91:[14, 10, 104] Operation: 39+65=104
Exploring Operation: 39-14=25, Resulting Numbers: [65, 10, 25]
Generated Node #0,4: 91:[65, 10, 25] Operation: 39-14=25
Moving to Node #0,1
Current State: 91:[14, 10, 26], Operations: ['65-39=26']
Exploring Operation: 10+26=36, Resulting Numbers: [14, 36]
Generated Node #0,1,0: 91:[14, 36] Operation: 10+26=36
Exploring Operation: 14+10=24, Resulting Numbers: [26, 24]
Generated Node #0,1,1: 91:[26, 24] Operation: 14+10=24
Exploring Operation: 26-10=16, Resulting Numbers: [14, 16]
Generated Node #0,1,2: 91:[14, 16] Operation: 26-10=16
Exploring Operation: 14-10=4, Resulting Numbers: [26, 4]
Generated Node #0,1,3: 91:[26, 4] Operation: 14-10=4
Exploring Operation: 26-14=12, Resulting Numbers: [10, 12]
Generated Node #0,1,4: 91:[10, 12] Operation: 26-14=12
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[14, 16], Operations: ['65-39=26', '26-10=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 91:[10, 12], Operations: ['65-39=26', '26-14=12']
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,91 unequal: No Solution
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,91 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 91:[26, 4], Operations: ['65-39=26', '14-10=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,91 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[14, 36], Operations: ['65-39=26', '10+26=36']
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,91 unequal: No Solution
Exploring Operation: 14+36=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 14*36=504, Resulting Numbers: [504]
504,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[26, 24], Operations: ['65-39=26', '14+10=24']
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 26*24=624, Resulting Numbers: [624]
624,91 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: 91:[14, 10, 104], Operations: ['39+65=104']
Exploring Operation: 10+104=114, Resulting Numbers: [14, 114]
Generated Node #0,3,0: 91:[14, 114] Operation: 10+104=114
Exploring Operation: 14-10=4, Resulting Numbers: [104, 4]
Generated Node #0,3,1: 91:[104, 4] Operation: 14-10=4
Exploring Operation: 104-14=90, Resulting Numbers: [10, 90]
Generated Node #0,3,2: 91:[10, 90] Operation: 104-14=90
Exploring Operation: 104-10=94, Resulting Numbers: [14, 94]
Generated Node #0,3,3: 91:[14, 94] Operation: 104-10=94
Exploring Operation: 14+10=24, Resulting Numbers: [104, 24]
Generated Node #0,3,4: 91:[104, 24] Operation: 14+10=24
Moving to Node #0,2
Current State: 91:[39, 10, 79], Operations: ['14+65=79']
Exploring Operation: 39+10=49, Resulting Numbers: [79, 49]
Generated Node #0,2,0: 91:[79, 49] Operation: 39+10=49
Exploring Operation: 10+79=89, Resulting Numbers: [39, 89]
Generated Node #0,2,1: 91:[39, 89] Operation: 10+79=89
Exploring Operation: 79-39=40, Resulting Numbers: [10, 40]
Generated Node #0,2,2: 91:[10, 40] Operation: 79-39=40
Exploring Operation: 39+79=118, Resulting Numbers: [10, 118]
Generated Node #0,2,3: 91:[10, 118] Operation: 39+79=118
Exploring Operation: 39-10=29, Resulting Numbers: [79, 29]
Generated Node #0,2,4: 91:[79, 29] Operation: 39-10=29
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[39, 89], Operations: ['14+65=79', '10+79=89']
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 39+89=128, Resulting Numbers: [128]
128,91 unequal: No Solution
Exploring Operation: 39*89=3471, Resulting Numbers: [3471]
3471,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 91:[79, 29], Operations: ['14+65=79', '39-10=29']
Exploring Operation: 79*29=2291, Resulting Numbers: [2291]
2291,91 unequal: No Solution
Exploring Operation: 79-29=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 79+29=108, Resulting Numbers: [108]
108,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[10, 40], Operations: ['14+65=79', '79-39=40']
Exploring Operation: 10*40=400, Resulting Numbers: [400]
400,91 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 91:[10, 118], Operations: ['14+65=79', '39+79=118']
Exploring Operation: 118-10=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Exploring Operation: 10+118=128, Resulting Numbers: [128]
128,91 unequal: No Solution
Exploring Operation: 10*118=1180, Resulting Numbers: [1180]
1180,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[79, 49], Operations: ['14+65=79', '39+10=49']
Exploring Operation: 79+49=128, Resulting Numbers: [128]
128,91 unequal: No Solution
Exploring Operation: 79*49=3871, Resulting Numbers: [3871]
3871,91 unequal: No Solution
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,91 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: 91:[65, 10, 25], Operations: ['39-14=25']
Exploring Operation: 65+25=90, Resulting Numbers: [10, 90]
Generated Node #0,4,0: 91:[10, 90] Operation: 65+25=90
Exploring Operation: 65-25=40, Resulting Numbers: [10, 40]
Generated Node #0,4,1: 91:[10, 40] Operation: 65-25=40
Exploring Operation: 25-10=15, Resulting Numbers: [65, 15]
Generated Node #0,4,2: 91:[65, 15] Operation: 25-10=15
Exploring Operation: 65+10=75, Resulting Numbers: [25, 75]
Generated Node #0,4,3: 91:[25, 75] Operation: 65+10=75
Exploring Operation: 65-10=55, Resulting Numbers: [25, 55]
Generated Node #0,4,4: 91:[25, 55] Operation: 65-10=55
Moving to Node #0,0
Current State: 91:[14, 65, 29], Operations: ['39-10=29']
Exploring Operation: 65-14=51, Resulting Numbers: [29, 51]
Generated Node #0,0,0: 91:[29, 51] Operation: 65-14=51
Exploring Operation: 65-29=36, Resulting Numbers: [14, 36]
Generated Node #0,0,1: 91:[14, 36] Operation: 65-29=36
Exploring Operation: 14+65=79, Resulting Numbers: [29, 79]
Generated Node #0,0,2: 91:[29, 79] Operation: 14+65=79
Exploring Operation: 29-14=15, Resulting Numbers: [65, 15]
Generated Node #0,0,3: 91:[65, 15] Operation: 29-14=15
Exploring Operation: 65+29=94, Resulting Numbers: [14, 94]
Generated Node #0,0,4: 91:[14, 94] Operation: 65+29=94
Moving to Node #0,3,2
Current State: 91:[10, 90], Operations: ['39+65=104', '104-14=90']
Exploring Operation: 10*90=900, Resulting Numbers: [900]
900,91 unequal: No Solution
Exploring Operation: 10+90=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Moving to Node #0,4,0
Current State: 91:[10, 90], Operations: ['39-14=25', '65+25=90']
Exploring Operation: 10+90=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 10*90=900, Resulting Numbers: [900]
900,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[14, 94], Operations: ['39+65=104', '104-10=94']
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 14*94=1316, Resulting Numbers: [1316]
1316,91 unequal: No Solution
Exploring Operation: 14+94=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Moving to Node #0,0,4
Current State: 91:[14, 94], Operations: ['39-10=29', '65+29=94']
Exploring Operation: 14*94=1316, Resulting Numbers: [1316]
1316,91 unequal: No Solution
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 14+94=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[104, 4], Operations: ['39+65=104', '14-10=4']
Exploring Operation: 104-4=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 104*4=416, Resulting Numbers: [416]
416,91 unequal: No Solution
Exploring Operation: 104+4=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[14, 36], Operations: ['39-10=29', '65-29=36']
Exploring Operation: 14*36=504, Resulting Numbers: [504]
504,91 unequal: No Solution
Exploring Operation: 14+36=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,91 unequal: No Solution
Moving to Node #0,3,4
Current State: 91:[104, 24], Operations: ['39+65=104', '14+10=24']
Exploring Operation: 104-24=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 104*24=2496, Resulting Numbers: [2496]
2496,91 unequal: No Solution
Exploring Operation: 104+24=128, Resulting Numbers: [128]
128,91 unequal: No Solution
Moving to Node #0,3,0
Current State: 91:[14, 114], Operations: ['39+65=104', '10+104=114']
Exploring Operation: 14*114=1596, Resulting Numbers: [1596]
1596,91 unequal: No Solution
Exploring Operation: 14+114=128, Resulting Numbers: [128]
128,91 unequal: No Solution
Exploring Operation: 114-14=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Moving to Node #0,4,2
Current State: 91:[65, 15], Operations: ['39-14=25', '25-10=15']
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 65*15=975, Resulting Numbers: [975]
975,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[29, 79], Operations: ['39-10=29', '14+65=79']
Exploring Operation: 29+79=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Exploring Operation: 29*79=2291, Resulting Numbers: [2291]
2291,91 unequal: No Solution
Exploring Operation: 79-29=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[65, 15], Operations: ['39-10=29', '29-14=15']
Exploring Operation: 65*15=975, Resulting Numbers: [975]
975,91 unequal: No Solution
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Moving to Node #0,4,3
Current State: 91:[25, 75], Operations: ['39-14=25', '65+10=75']
Exploring Operation: 25*75=1875, Resulting Numbers: [1875]
1875,91 unequal: No Solution
Exploring Operation: 75-25=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 25+75=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 75/25=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Moving to Node #0,4,1
Current State: 91:[10, 40], Operations: ['39-14=25', '65-25=40']
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Exploring Operation: 10*40=400, Resulting Numbers: [400]
400,91 unequal: No Solution
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Moving to Node #0,4,4
Current State: 91:[25, 55], Operations: ['39-14=25', '65-10=55']
Exploring Operation: 25+55=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 25*55=1375, Resulting Numbers: [1375]
1375,91 unequal: No Solution
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[29, 51], Operations: ['39-10=29', '65-14=51']
Exploring Operation: 29+51=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,91 unequal: No Solution
Exploring Operation: 29*51=1479, Resulting Numbers: [1479]
1479,91 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
9,
60,
43,
3
] | 42 | [
"43-9=34",
"3*34=102",
"102-60=42"
] | Current State: 42:[9, 60, 43, 3], Operations: []
Exploring Operation: 43-9=34, Resulting Numbers: [60, 3, 34]
Generated Node #2: [60, 3, 34] from Operation: 43-9=34
Current State: 42:[60, 3, 34], Operations: ['43-9=34']
Exploring Operation: 3*34=102, Resulting Numbers: [60, 102]
Generated Node #3: [60, 102] from Operation: 3*34=102
Current State: 42:[60, 102], Operations: ['43-9=34', '3*34=102']
Exploring Operation: 102-60=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[9, 60, 43, 3], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [9, 43, 20]
Generated Node #0,0: 42:[9, 43, 20] Operation: 60/3=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[9, 43, 20], Operations: ['60/3=20']
Exploring Operation: 20-9=11, Resulting Numbers: [43, 11]
Generated Node #0,0,0: 42:[43, 11] Operation: 20-9=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[43, 11], Operations: ['60/3=20', '20-9=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,42 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 |
[
33,
3,
83,
16
] | 37 | [
"33-3=30",
"83-16=67",
"67-30=37"
] | Current State: 37:[33, 3, 83, 16], Operations: []
Exploring Operation: 33-3=30, Resulting Numbers: [83, 16, 30]
Generated Node #2: [83, 16, 30] from Operation: 33-3=30
Current State: 37:[83, 16, 30], Operations: ['33-3=30']
Exploring Operation: 83-16=67, Resulting Numbers: [30, 67]
Generated Node #3: [30, 67] from Operation: 83-16=67
Current State: 37:[30, 67], Operations: ['33-3=30', '83-16=67']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[33, 3, 83, 16], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [3, 16, 50]
Generated Node #0,0: 37:[3, 16, 50] Operation: 83-33=50
Exploring Operation: 33+3=36, Resulting Numbers: [83, 16, 36]
Generated Node #0,1: 37:[83, 16, 36] Operation: 33+3=36
Exploring Operation: 3*16=48, Resulting Numbers: [33, 83, 48]
Generated Node #0,2: 37:[33, 83, 48] Operation: 3*16=48
Exploring Operation: 83-3=80, Resulting Numbers: [33, 16, 80]
Generated Node #0,3: 37:[33, 16, 80] Operation: 83-3=80
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[33, 83, 48], Operations: ['3*16=48']
Exploring Operation: 48-33=15, Resulting Numbers: [83, 15]
Generated Node #0,2,0: 37:[83, 15] Operation: 48-33=15
Exploring Operation: 83-33=50, Resulting Numbers: [48, 50]
Generated Node #0,2,1: 37:[48, 50] Operation: 83-33=50
Exploring Operation: 83-48=35, Resulting Numbers: [33, 35]
Generated Node #0,2,2: 37:[33, 35] Operation: 83-48=35
Exploring Operation: 33+83=116, Resulting Numbers: [48, 116]
Generated Node #0,2,3: 37:[48, 116] Operation: 33+83=116
Moving to Node #0,2,2
Current State: 37:[33, 35], Operations: ['3*16=48', '83-48=35']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[48, 50], Operations: ['3*16=48', '83-33=50']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 48*50=2400, Resulting Numbers: [2400]
2400,37 unequal: No Solution
Exploring Operation: 48+50=98, Resulting Numbers: [98]
98,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[83, 15], Operations: ['3*16=48', '48-33=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 83+15=98, Resulting Numbers: [98]
98,37 unequal: No Solution
Exploring Operation: 83*15=1245, Resulting Numbers: [1245]
1245,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[48, 116], Operations: ['3*16=48', '33+83=116']
Exploring Operation: 116-48=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 48*116=5568, Resulting Numbers: [5568]
5568,37 unequal: No Solution
Exploring Operation: 48+116=164, Resulting Numbers: [164]
164,37 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
Current State: 37:[3, 16, 50], Operations: ['83-33=50']
Exploring Operation: 50-3=47, Resulting Numbers: [16, 47]
Generated Node #0,0,0: 37:[16, 47] Operation: 50-3=47
Exploring Operation: 16-3=13, Resulting Numbers: [50, 13]
Generated Node #0,0,1: 37:[50, 13] Operation: 16-3=13
Exploring Operation: 3*16=48, Resulting Numbers: [50, 48]
Generated Node #0,0,2: 37:[50, 48] Operation: 3*16=48
Exploring Operation: 3+16=19, Resulting Numbers: [50, 19]
Generated Node #0,0,3: 37:[50, 19] Operation: 3+16=19
Moving to Node #0,0,2
Current State: 37:[50, 48], Operations: ['83-33=50', '3*16=48']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,37 unequal: No Solution
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[50, 19], Operations: ['83-33=50', '3+16=19']
Exploring Operation: 50*19=950, Resulting Numbers: [950]
950,37 unequal: No Solution
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,37 unequal: No Solution
Exploring Operation: 50+19=69, Resulting Numbers: [69]
69,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[16, 47], Operations: ['83-33=50', '50-3=47']
Exploring Operation: 16*47=752, Resulting Numbers: [752]
752,37 unequal: No Solution
Exploring Operation: 16+47=63, Resulting Numbers: [63]
63,37 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[50, 13], Operations: ['83-33=50', '16-3=13']
Exploring Operation: 50*13=650, Resulting Numbers: [650]
650,37 unequal: No Solution
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,37 unequal: No Solution
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[33, 3, 83, 16], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [3, 16, 50]
Generated Node #0,0: 37:[3, 16, 50] Operation: 83-33=50
Moving to Node #0,0
Current State: 37:[3, 16, 50], Operations: ['83-33=50']
Exploring Operation: 16-3=13, Resulting Numbers: [50, 13]
Generated Node #0,0,1: 37:[50, 13] Operation: 16-3=13
Moving to Node #0,0,1
Current State: 37:[50, 13], Operations: ['83-33=50', '16-3=13']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_4 | sum_heuristic |
[
93,
10,
8,
27
] | 68 | [
"93+10=103",
"8+27=35",
"103-35=68"
] | Current State: 68:[93, 10, 8, 27], Operations: []
Exploring Operation: 93+10=103, Resulting Numbers: [8, 27, 103]
Generated Node #2: [8, 27, 103] from Operation: 93+10=103
Current State: 68:[8, 27, 103], Operations: ['93+10=103']
Exploring Operation: 8+27=35, Resulting Numbers: [103, 35]
Generated Node #3: [103, 35] from Operation: 8+27=35
Current State: 68:[103, 35], Operations: ['93+10=103', '8+27=35']
Exploring Operation: 103-35=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[93, 10, 8, 27], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [93, 27, 2]
Generated Node #0,0: 68:[93, 27, 2] Operation: 10-8=2
Exploring Operation: 27-10=17, Resulting Numbers: [93, 8, 17]
Generated Node #0,1: 68:[93, 8, 17] Operation: 27-10=17
Exploring Operation: 93-27=66, Resulting Numbers: [10, 8, 66]
Generated Node #0,2: 68:[10, 8, 66] Operation: 93-27=66
Exploring Operation: 93-8=85, Resulting Numbers: [10, 27, 85]
Generated Node #0,3: 68:[10, 27, 85] Operation: 93-8=85
Exploring Operation: 93-10=83, Resulting Numbers: [8, 27, 83]
Generated Node #0,4: 68:[8, 27, 83] Operation: 93-10=83
Moving to Node #0,2
Current State: 68:[10, 8, 66], Operations: ['93-27=66']
Exploring Operation: 8+66=74, Resulting Numbers: [10, 74]
Generated Node #0,2,0: 68:[10, 74] Operation: 8+66=74
Exploring Operation: 10*8=80, Resulting Numbers: [66, 80]
Generated Node #0,2,1: 68:[66, 80] Operation: 10*8=80
Exploring Operation: 10+66=76, Resulting Numbers: [8, 76]
Generated Node #0,2,2: 68:[8, 76] Operation: 10+66=76
Exploring Operation: 10+8=18, Resulting Numbers: [66, 18]
Generated Node #0,2,3: 68:[66, 18] Operation: 10+8=18
Exploring Operation: 10-8=2, Resulting Numbers: [66, 2]
Generated Node #0,2,4: 68:[66, 2] Operation: 10-8=2
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 68:[66, 2], Operations: ['93-27=66', '10-8=2']
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,68 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[93, 10, 8, 27], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [10, 8, 66]
Generated Node #0,2: 68:[10, 8, 66] Operation: 93-27=66
Moving to Node #0,2
Current State: 68:[10, 8, 66], Operations: ['93-27=66']
Exploring Operation: 10-8=2, Resulting Numbers: [66, 2]
Generated Node #0,2,4: 68:[66, 2] Operation: 10-8=2
Moving to Node #0,2,4
Current State: 68:[66, 2], Operations: ['93-27=66', '10-8=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
14,
7,
49,
87
] | 77 | [
"14*49=686",
"7*87=609",
"686-609=77"
] | Current State: 77:[14, 7, 49, 87], Operations: []
Exploring Operation: 14*49=686, Resulting Numbers: [7, 87, 686]
Generated Node #2: [7, 87, 686] from Operation: 14*49=686
Current State: 77:[7, 87, 686], Operations: ['14*49=686']
Exploring Operation: 7*87=609, Resulting Numbers: [686, 609]
Generated Node #3: [686, 609] from Operation: 7*87=609
Current State: 77:[686, 609], Operations: ['14*49=686', '7*87=609']
Exploring Operation: 686-609=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[14, 7, 49, 87], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [14, 87, 7]
Generated Node #0,0: 77:[14, 87, 7] Operation: 49/7=7
Exploring Operation: 14+49=63, Resulting Numbers: [7, 87, 63]
Generated Node #0,1: 77:[7, 87, 63] Operation: 14+49=63
Exploring Operation: 87-49=38, Resulting Numbers: [14, 7, 38]
Generated Node #0,2: 77:[14, 7, 38] Operation: 87-49=38
Moving to Node #0,0
Current State: 77:[14, 87, 7], Operations: ['49/7=7']
Exploring Operation: 87-14=73, Resulting Numbers: [7, 73]
Generated Node #0,0,0: 77:[7, 73] Operation: 87-14=73
Exploring Operation: 14-7=7, Resulting Numbers: [87, 7]
Generated Node #0,0,1: 77:[87, 7] Operation: 14-7=7
Exploring Operation: 87-7=80, Resulting Numbers: [14, 80]
Generated Node #0,0,2: 77:[14, 80] Operation: 87-7=80
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[7, 73], Operations: ['49/7=7', '87-14=73']
Exploring Operation: 7+73=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 7*73=511, Resulting Numbers: [511]
511,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 77:[14, 80], Operations: ['49/7=7', '87-7=80']
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Exploring Operation: 14*80=1120, Resulting Numbers: [1120]
1120,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[87, 7], Operations: ['49/7=7', '14-7=7']
Exploring Operation: 87*7=609, Resulting Numbers: [609]
609,77 unequal: No Solution
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,77 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: 77:[7, 87, 63], Operations: ['14+49=63']
Exploring Operation: 87-63=24, Resulting Numbers: [7, 24]
Generated Node #0,1,0: 77:[7, 24] Operation: 87-63=24
Exploring Operation: 63/7=9, Resulting Numbers: [87, 9]
Generated Node #0,1,1: 77:[87, 9] Operation: 63/7=9
Exploring Operation: 87-7=80, Resulting Numbers: [63, 80]
Generated Node #0,1,2: 77:[63, 80] Operation: 87-7=80
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[87, 9], Operations: ['14+49=63', '63/7=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,77 unequal: No Solution
Exploring Operation: 87*9=783, Resulting Numbers: [783]
783,77 unequal: No Solution
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[7, 24], Operations: ['14+49=63', '87-63=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,77 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[63, 80], Operations: ['14+49=63', '87-7=80']
Exploring Operation: 63+80=143, Resulting Numbers: [143]
143,77 unequal: No Solution
Exploring Operation: 63*80=5040, Resulting Numbers: [5040]
5040,77 unequal: No Solution
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,77 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: 77:[14, 7, 38], Operations: ['87-49=38']
Exploring Operation: 38-14=24, Resulting Numbers: [7, 24]
Generated Node #0,2,0: 77:[7, 24] Operation: 38-14=24
Exploring Operation: 14+38=52, Resulting Numbers: [7, 52]
Generated Node #0,2,1: 77:[7, 52] Operation: 14+38=52
Exploring Operation: 38-7=31, Resulting Numbers: [14, 31]
Generated Node #0,2,2: 77:[14, 31] Operation: 38-7=31
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 77:[7, 24], Operations: ['87-49=38', '38-14=24']
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,77 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[14, 31], Operations: ['87-49=38', '38-7=31']
Exploring Operation: 14+31=45, Resulting Numbers: [45]
45,77 unequal: No Solution
Exploring Operation: 14*31=434, Resulting Numbers: [434]
434,77 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[7, 52], Operations: ['87-49=38', '14+38=52']
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,77 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,77 unequal: No Solution
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,77 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 |
[
19,
29,
69,
36
] | 64 | [
"36-29=7",
"19*7=133",
"133-69=64"
] | Current State: 64:[19, 29, 69, 36], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [19, 69, 7]
Generated Node #2: [19, 69, 7] from Operation: 36-29=7
Current State: 64:[19, 69, 7], Operations: ['36-29=7']
Exploring Operation: 19*7=133, Resulting Numbers: [69, 133]
Generated Node #3: [69, 133] from Operation: 19*7=133
Current State: 64:[69, 133], Operations: ['36-29=7', '19*7=133']
Exploring Operation: 133-69=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[19, 29, 69, 36], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [29, 69, 17]
Generated Node #0,0: 64:[29, 69, 17] Operation: 36-19=17
Exploring Operation: 29+36=65, Resulting Numbers: [19, 69, 65]
Generated Node #0,1: 64:[19, 69, 65] Operation: 29+36=65
Exploring Operation: 36-29=7, Resulting Numbers: [19, 69, 7]
Generated Node #0,2: 64:[19, 69, 7] Operation: 36-29=7
Exploring Operation: 69-36=33, Resulting Numbers: [19, 29, 33]
Generated Node #0,3: 64:[19, 29, 33] Operation: 69-36=33
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[19, 29, 33], Operations: ['69-36=33']
Exploring Operation: 33-19=14, Resulting Numbers: [29, 14]
Generated Node #0,3,0: 64:[29, 14] Operation: 33-19=14
Exploring Operation: 29+33=62, Resulting Numbers: [19, 62]
Generated Node #0,3,1: 64:[19, 62] Operation: 29+33=62
Exploring Operation: 29-19=10, Resulting Numbers: [33, 10]
Generated Node #0,3,2: 64:[33, 10] Operation: 29-19=10
Exploring Operation: 33-29=4, Resulting Numbers: [19, 4]
Generated Node #0,3,3: 64:[19, 4] Operation: 33-29=4
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 64:[33, 10], Operations: ['69-36=33', '29-19=10']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,64 unequal: No Solution
No 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: 64:[19, 4], Operations: ['69-36=33', '33-29=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,64 unequal: No Solution
No 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: 64:[29, 14], Operations: ['69-36=33', '33-19=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,64 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,64 unequal: No Solution
No 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: 64:[19, 62], Operations: ['69-36=33', '29+33=62']
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,64 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: 64:[29, 69, 17], Operations: ['36-19=17']
Exploring Operation: 69-29=40, Resulting Numbers: [17, 40]
Generated Node #0,0,0: 64:[17, 40] Operation: 69-29=40
Exploring Operation: 29+17=46, Resulting Numbers: [69, 46]
Generated Node #0,0,1: 64:[69, 46] Operation: 29+17=46
Exploring Operation: 69-17=52, Resulting Numbers: [29, 52]
Generated Node #0,0,2: 64:[29, 52] Operation: 69-17=52
Exploring Operation: 29-17=12, Resulting Numbers: [69, 12]
Generated Node #0,0,3: 64:[69, 12] Operation: 29-17=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[17, 40], Operations: ['36-19=17', '69-29=40']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 17*40=680, Resulting Numbers: [680]
680,64 unequal: No Solution
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,64 unequal: No Solution
No 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: 64:[69, 12], Operations: ['36-19=17', '29-17=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,64 unequal: No Solution
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,64 unequal: No Solution
No 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: 64:[29, 52], Operations: ['36-19=17', '69-17=52']
Exploring Operation: 29*52=1508, Resulting Numbers: [1508]
1508,64 unequal: No Solution
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 29+52=81, Resulting Numbers: [81]
81,64 unequal: No Solution
No 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: 64:[69, 46], Operations: ['36-19=17', '29+17=46']
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 69*46=3174, Resulting Numbers: [3174]
3174,64 unequal: No Solution
Exploring Operation: 69+46=115, Resulting Numbers: [115]
115,64 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: 64:[19, 69, 65], Operations: ['29+36=65']
Exploring Operation: 69-65=4, Resulting Numbers: [19, 4]
Generated Node #0,1,0: 64:[19, 4] Operation: 69-65=4
Exploring Operation: 69-19=50, Resulting Numbers: [65, 50]
Generated Node #0,1,1: 64:[65, 50] Operation: 69-19=50
Exploring Operation: 65-19=46, Resulting Numbers: [69, 46]
Generated Node #0,1,2: 64:[69, 46] Operation: 65-19=46
Exploring Operation: 19+69=88, Resulting Numbers: [65, 88]
Generated Node #0,1,3: 64:[65, 88] Operation: 19+69=88
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[19, 4], Operations: ['29+36=65', '69-65=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,64 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[65, 50], Operations: ['29+36=65', '69-19=50']
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 65+50=115, Resulting Numbers: [115]
115,64 unequal: No Solution
Exploring Operation: 65*50=3250, Resulting Numbers: [3250]
3250,64 unequal: No Solution
No 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: 64:[69, 46], Operations: ['29+36=65', '65-19=46']
Exploring Operation: 69*46=3174, Resulting Numbers: [3174]
3174,64 unequal: No Solution
Exploring Operation: 69+46=115, Resulting Numbers: [115]
115,64 unequal: No Solution
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No 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: 64:[65, 88], Operations: ['29+36=65', '19+69=88']
Exploring Operation: 88-65=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Exploring Operation: 65*88=5720, Resulting Numbers: [5720]
5720,64 unequal: No Solution
Exploring Operation: 65+88=153, Resulting Numbers: [153]
153,64 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: 64:[19, 69, 7], Operations: ['36-29=7']
Exploring Operation: 19-7=12, Resulting Numbers: [69, 12]
Generated Node #0,2,0: 64:[69, 12] Operation: 19-7=12
Exploring Operation: 69-19=50, Resulting Numbers: [7, 50]
Generated Node #0,2,1: 64:[7, 50] Operation: 69-19=50
Exploring Operation: 69-7=62, Resulting Numbers: [19, 62]
Generated Node #0,2,2: 64:[19, 62] Operation: 69-7=62
Exploring Operation: 19+7=26, Resulting Numbers: [69, 26]
Generated Node #0,2,3: 64:[69, 26] Operation: 19+7=26
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 64:[19, 62], Operations: ['36-29=7', '69-7=62']
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,64 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,64 unequal: No Solution
No 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: 64:[69, 12], Operations: ['36-29=7', '19-7=12']
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,64 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,64 unequal: No Solution
No 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: 64:[69, 26], Operations: ['36-29=7', '19+7=26']
Exploring Operation: 69+26=95, Resulting Numbers: [95]
95,64 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 69*26=1794, Resulting Numbers: [1794]
1794,64 unequal: No Solution
No 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: 64:[7, 50], Operations: ['36-29=7', '69-19=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,64 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 |
[
44,
34,
86,
40
] | 72 | [
"34*86=2924",
"2924-44=2880",
"2880/40=72"
] | Current State: 72:[44, 34, 86, 40], Operations: []
Exploring Operation: 34*86=2924, Resulting Numbers: [44, 40, 2924]
Generated Node #2: [44, 40, 2924] from Operation: 34*86=2924
Current State: 72:[44, 40, 2924], Operations: ['34*86=2924']
Exploring Operation: 2924-44=2880, Resulting Numbers: [40, 2880]
Generated Node #3: [40, 2880] from Operation: 2924-44=2880
Current State: 72:[40, 2880], Operations: ['34*86=2924', '2924-44=2880']
Exploring Operation: 2880/40=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[44, 34, 86, 40], Operations: []
Exploring Operation: 86-44=42, Resulting Numbers: [34, 40, 42]
Generated Node #0,0: 72:[34, 40, 42] Operation: 86-44=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[34, 40, 42], Operations: ['86-44=42']
Exploring Operation: 42-40=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 72:[34, 2] Operation: 42-40=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[34, 2], Operations: ['86-44=42', '42-40=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
77,
16,
61,
79
] | 69 | [
"79-77=2",
"16/2=8",
"61+8=69"
] | Current State: 69:[77, 16, 61, 79], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [16, 61, 2]
Generated Node #2: [16, 61, 2] from Operation: 79-77=2
Current State: 69:[16, 61, 2], Operations: ['79-77=2']
Exploring Operation: 16/2=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 16/2=8
Current State: 69:[61, 8], Operations: ['79-77=2', '16/2=8']
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[77, 16, 61, 79], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [16, 61, 2]
Generated Node #0,0: 69:[16, 61, 2] Operation: 79-77=2
Moving to Node #0,0
Current State: 69:[16, 61, 2], Operations: ['79-77=2']
Exploring Operation: 16+61=77, Resulting Numbers: [2, 77]
Generated Node #0,0,0: 69:[2, 77] Operation: 16+61=77
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[2, 77], Operations: ['79-77=2', '16+61=77']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,69 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 |
[
19,
92,
63,
14
] | 62 | [
"19+92=111",
"63-14=49",
"111-49=62"
] | Current State: 62:[19, 92, 63, 14], Operations: []
Exploring Operation: 19+92=111, Resulting Numbers: [63, 14, 111]
Generated Node #2: [63, 14, 111] from Operation: 19+92=111
Current State: 62:[63, 14, 111], Operations: ['19+92=111']
Exploring Operation: 63-14=49, Resulting Numbers: [111, 49]
Generated Node #3: [111, 49] from Operation: 63-14=49
Current State: 62:[111, 49], Operations: ['19+92=111', '63-14=49']
Exploring Operation: 111-49=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[19, 92, 63, 14], Operations: []
Exploring Operation: 92-19=73, Resulting Numbers: [63, 14, 73]
Generated Node #0,0: 62:[63, 14, 73] Operation: 92-19=73
Exploring Operation: 92-63=29, Resulting Numbers: [19, 14, 29]
Generated Node #0,1: 62:[19, 14, 29] Operation: 92-63=29
Exploring Operation: 19+14=33, Resulting Numbers: [92, 63, 33]
Generated Node #0,2: 62:[92, 63, 33] Operation: 19+14=33
Exploring Operation: 92-14=78, Resulting Numbers: [19, 63, 78]
Generated Node #0,3: 62:[19, 63, 78] Operation: 92-14=78
Moving to Node #0,0
Current State: 62:[63, 14, 73], Operations: ['92-19=73']
Exploring Operation: 63+14=77, Resulting Numbers: [73, 77]
Generated Node #0,0,0: 62:[73, 77] Operation: 63+14=77
Exploring Operation: 73-14=59, Resulting Numbers: [63, 59]
Generated Node #0,0,1: 62:[63, 59] Operation: 73-14=59
Exploring Operation: 63-14=49, Resulting Numbers: [73, 49]
Generated Node #0,0,2: 62:[73, 49] Operation: 63-14=49
Exploring Operation: 73-63=10, Resulting Numbers: [14, 10]
Generated Node #0,0,3: 62:[14, 10] Operation: 73-63=10
Moving to Node #0,1
Current State: 62:[19, 14, 29], Operations: ['92-63=29']
Exploring Operation: 19-14=5, Resulting Numbers: [29, 5]
Generated Node #0,1,0: 62:[29, 5] Operation: 19-14=5
Exploring Operation: 29-19=10, Resulting Numbers: [14, 10]
Generated Node #0,1,1: 62:[14, 10] Operation: 29-19=10
Exploring Operation: 19+14=33, Resulting Numbers: [29, 33]
Generated Node #0,1,2: 62:[29, 33] Operation: 19+14=33
Exploring Operation: 14+29=43, Resulting Numbers: [19, 43]
Generated Node #0,1,3: 62:[19, 43] Operation: 14+29=43
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[29, 33], Operations: ['92-63=29', '19+14=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[19, 92, 63, 14], Operations: []
Exploring Operation: 92-63=29, Resulting Numbers: [19, 14, 29]
Generated Node #0,1: 62:[19, 14, 29] Operation: 92-63=29
Moving to Node #0,1
Current State: 62:[19, 14, 29], Operations: ['92-63=29']
Exploring Operation: 19+14=33, Resulting Numbers: [29, 33]
Generated Node #0,1,2: 62:[29, 33] Operation: 19+14=33
Moving to Node #0,1,2
Current State: 62:[29, 33], Operations: ['92-63=29', '19+14=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
70,
59,
32,
77
] | 20 | [
"70+59=129",
"32+77=109",
"129-109=20"
] | Current State: 20:[70, 59, 32, 77], Operations: []
Exploring Operation: 70+59=129, Resulting Numbers: [32, 77, 129]
Generated Node #2: [32, 77, 129] from Operation: 70+59=129
Current State: 20:[32, 77, 129], Operations: ['70+59=129']
Exploring Operation: 32+77=109, Resulting Numbers: [129, 109]
Generated Node #3: [129, 109] from Operation: 32+77=109
Current State: 20:[129, 109], Operations: ['70+59=129', '32+77=109']
Exploring Operation: 129-109=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[70, 59, 32, 77], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [32, 77, 11]
Generated Node #0,0: 20:[32, 77, 11] Operation: 70-59=11
Exploring Operation: 77-70=7, Resulting Numbers: [59, 32, 7]
Generated Node #0,1: 20:[59, 32, 7] Operation: 77-70=7
Exploring Operation: 77-59=18, Resulting Numbers: [70, 32, 18]
Generated Node #0,2: 20:[70, 32, 18] Operation: 77-59=18
Moving to Node #0,1
Current State: 20:[59, 32, 7], Operations: ['77-70=7']
Exploring Operation: 32-7=25, Resulting Numbers: [59, 25]
Generated Node #0,1,0: 20:[59, 25] Operation: 32-7=25
Exploring Operation: 59-7=52, Resulting Numbers: [32, 52]
Generated Node #0,1,1: 20:[32, 52] Operation: 59-7=52
Exploring Operation: 59-32=27, Resulting Numbers: [7, 27]
Generated Node #0,1,2: 20:[7, 27] Operation: 59-32=27
Moving to Node #0,2
Current State: 20:[70, 32, 18], Operations: ['77-59=18']
Exploring Operation: 70-32=38, Resulting Numbers: [18, 38]
Generated Node #0,2,0: 20:[18, 38] Operation: 70-32=38
Exploring Operation: 70-18=52, Resulting Numbers: [32, 52]
Generated Node #0,2,1: 20:[32, 52] Operation: 70-18=52
Exploring Operation: 32-18=14, Resulting Numbers: [70, 14]
Generated Node #0,2,2: 20:[70, 14] Operation: 32-18=14
Moving to Node #0,0
Current State: 20:[32, 77, 11], Operations: ['70-59=11']
Exploring Operation: 77-32=45, Resulting Numbers: [11, 45]
Generated Node #0,0,0: 20:[11, 45] Operation: 77-32=45
Exploring Operation: 77/11=7, Resulting Numbers: [32, 7]
Generated Node #0,0,1: 20:[32, 7] Operation: 77/11=7
Exploring Operation: 32-11=21, Resulting Numbers: [77, 21]
Generated Node #0,0,2: 20:[77, 21] Operation: 32-11=21
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[32, 7], Operations: ['70-59=11', '77/11=7']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,20 unequal: No Solution
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,20 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 #0,0,0
Current State: 20:[11, 45], Operations: ['70-59=11', '77-32=45']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,20 unequal: No Solution
Exploring Operation: 11*45=495, Resulting Numbers: [495]
495,20 unequal: No Solution
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,20 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 #0,0,2
Current State: 20:[77, 21], Operations: ['70-59=11', '32-11=21']
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,20 unequal: No Solution
Exploring Operation: 77*21=1617, Resulting Numbers: [1617]
1617,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 20:[7, 27], Operations: ['77-70=7', '59-32=27']
Exploring Operation: 7+27=34, Resulting Numbers: [34]
34,20 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[70, 59, 32, 77], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [59, 32, 7]
Generated Node #0,1: 20:[59, 32, 7] Operation: 77-70=7
Moving to Node #0,1
Current State: 20:[59, 32, 7], Operations: ['77-70=7']
Exploring Operation: 59-32=27, Resulting Numbers: [7, 27]
Generated Node #0,1,2: 20:[7, 27] Operation: 59-32=27
Moving to Node #0,1,2
Current State: 20:[7, 27], Operations: ['77-70=7', '59-32=27']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.976563 | hs_3 | sum_heuristic |
[
8,
1,
3,
81
] | 86 | [
"8*1=8",
"81-3=78",
"8+78=86"
] | Current State: 86:[8, 1, 3, 81], Operations: []
Exploring Operation: 8*1=8, Resulting Numbers: [3, 81, 8]
Generated Node #2: [3, 81, 8] from Operation: 8*1=8
Current State: 86:[3, 81, 8], Operations: ['8*1=8']
Exploring Operation: 81-3=78, Resulting Numbers: [8, 78]
Generated Node #3: [8, 78] from Operation: 81-3=78
Current State: 86:[8, 78], Operations: ['8*1=8', '81-3=78']
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[8, 1, 3, 81], Operations: []
Exploring Operation: 8+81=89, Resulting Numbers: [1, 3, 89]
Generated Node #0,0: 86:[1, 3, 89] Operation: 8+81=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[1, 3, 89], Operations: ['8+81=89']
Exploring Operation: 89-3=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 86:[1, 86] Operation: 89-3=86
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[1, 86], Operations: ['8+81=89', '89-3=86']
Exploring Operation: 1*86=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[8, 1, 3, 81], Operations: []
Exploring Operation: 8+81=89, Resulting Numbers: [1, 3, 89]
Generated Node #0,0: 86:[1, 3, 89] Operation: 8+81=89
Moving to Node #0,0
Current State: 86:[1, 3, 89], Operations: ['8+81=89']
Exploring Operation: 89-3=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 86:[1, 86] Operation: 89-3=86
Moving to Node #0,0,0
Current State: 86:[1, 86], Operations: ['8+81=89', '89-3=86']
Exploring Operation: 1*86=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
82,
41,
36,
20
] | 26 | [
"82/41=2",
"20/2=10",
"36-10=26"
] | Current State: 26:[82, 41, 36, 20], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [36, 20, 2]
Generated Node #2: [36, 20, 2] from Operation: 82/41=2
Current State: 26:[36, 20, 2], Operations: ['82/41=2']
Exploring Operation: 20/2=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 20/2=10
Current State: 26:[36, 10], Operations: ['82/41=2', '20/2=10']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[82, 41, 36, 20], Operations: []
Exploring Operation: 82-41=41, Resulting Numbers: [36, 20, 41]
Generated Node #0,0: 26:[36, 20, 41] Operation: 82-41=41
Exploring Operation: 82/41=2, Resulting Numbers: [36, 20, 2]
Generated Node #0,1: 26:[36, 20, 2] Operation: 82/41=2
Moving to Node #0,1
Current State: 26:[36, 20, 2], Operations: ['82/41=2']
Exploring Operation: 36/2=18, Resulting Numbers: [20, 18]
Generated Node #0,1,0: 26:[20, 18] Operation: 36/2=18
Exploring Operation: 36-20=16, Resulting Numbers: [2, 16]
Generated Node #0,1,1: 26:[2, 16] Operation: 36-20=16
Moving to Node #0,0
Current State: 26:[36, 20, 41], Operations: ['82-41=41']
Exploring Operation: 41-36=5, Resulting Numbers: [20, 5]
Generated Node #0,0,0: 26:[20, 5] Operation: 41-36=5
Exploring Operation: 41-20=21, Resulting Numbers: [36, 21]
Generated Node #0,0,1: 26:[36, 21] Operation: 41-20=21
Moving to Node #0,1,1
Current State: 26:[2, 16], Operations: ['82/41=2', '36-20=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[20, 5], Operations: ['82-41=41', '41-36=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,26 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[20, 18], Operations: ['82/41=2', '36/2=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[36, 21], Operations: ['82-41=41', '41-20=21']
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,26 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
3,
96,
62,
70
] | 85 | [
"96-3=93",
"70-62=8",
"93-8=85"
] | Current State: 85:[3, 96, 62, 70], Operations: []
Exploring Operation: 96-3=93, Resulting Numbers: [62, 70, 93]
Generated Node #2: [62, 70, 93] from Operation: 96-3=93
Current State: 85:[62, 70, 93], Operations: ['96-3=93']
Exploring Operation: 70-62=8, Resulting Numbers: [93, 8]
Generated Node #3: [93, 8] from Operation: 70-62=8
Current State: 85:[93, 8], Operations: ['96-3=93', '70-62=8']
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[3, 96, 62, 70], Operations: []
Exploring Operation: 96-62=34, Resulting Numbers: [3, 70, 34]
Generated Node #0,0: 85:[3, 70, 34] Operation: 96-62=34
Exploring Operation: 70-62=8, Resulting Numbers: [3, 96, 8]
Generated Node #0,1: 85:[3, 96, 8] Operation: 70-62=8
Moving to Node #0,1
Current State: 85:[3, 96, 8], Operations: ['70-62=8']
Exploring Operation: 96/8=12, Resulting Numbers: [3, 12]
Generated Node #0,1,0: 85:[3, 12] Operation: 96/8=12
Exploring Operation: 96-8=88, Resulting Numbers: [3, 88]
Generated Node #0,1,1: 85:[3, 88] Operation: 96-8=88
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[3, 88], Operations: ['70-62=8', '96-8=88']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[3, 96, 62, 70], Operations: []
Exploring Operation: 70-62=8, Resulting Numbers: [3, 96, 8]
Generated Node #0,1: 85:[3, 96, 8] Operation: 70-62=8
Moving to Node #0,1
Current State: 85:[3, 96, 8], Operations: ['70-62=8']
Exploring Operation: 96-8=88, Resulting Numbers: [3, 88]
Generated Node #0,1,1: 85:[3, 88] Operation: 96-8=88
Moving to Node #0,1,1
Current State: 85:[3, 88], Operations: ['70-62=8', '96-8=88']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
80,
32,
4,
70
] | 24 | [
"32*70=2240",
"2240/80=28",
"28-4=24"
] | Current State: 24:[80, 32, 4, 70], Operations: []
Exploring Operation: 32*70=2240, Resulting Numbers: [80, 4, 2240]
Generated Node #2: [80, 4, 2240] from Operation: 32*70=2240
Current State: 24:[80, 4, 2240], Operations: ['32*70=2240']
Exploring Operation: 2240/80=28, Resulting Numbers: [4, 28]
Generated Node #3: [4, 28] from Operation: 2240/80=28
Current State: 24:[4, 28], Operations: ['32*70=2240', '2240/80=28']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[80, 32, 4, 70], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [32, 4, 10]
Generated Node #0,0: 24:[32, 4, 10] Operation: 80-70=10
Exploring Operation: 80/4=20, Resulting Numbers: [32, 70, 20]
Generated Node #0,1: 24:[32, 70, 20] Operation: 80/4=20
Exploring Operation: 80-32=48, Resulting Numbers: [4, 70, 48]
Generated Node #0,2: 24:[4, 70, 48] Operation: 80-32=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[32, 4, 10], Operations: ['80-70=10']
Exploring Operation: 32-4=28, Resulting Numbers: [10, 28]
Generated Node #0,0,0: 24:[10, 28] Operation: 32-4=28
Exploring Operation: 32/4=8, Resulting Numbers: [10, 8]
Generated Node #0,0,1: 24:[10, 8] Operation: 32/4=8
Exploring Operation: 32-10=22, Resulting Numbers: [4, 22]
Generated Node #0,0,2: 24:[4, 22] Operation: 32-10=22
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 24:[10, 8], Operations: ['80-70=10', '32/4=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,24 unequal: No Solution
No 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: 24:[4, 22], Operations: ['80-70=10', '32-10=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,24 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,24 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,24 unequal: No Solution
No 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: 24:[10, 28], Operations: ['80-70=10', '32-4=28']
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,24 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,24 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,24 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: 24:[32, 70, 20], Operations: ['80/4=20']
Exploring Operation: 32-20=12, Resulting Numbers: [70, 12]
Generated Node #0,1,0: 24:[70, 12] Operation: 32-20=12
Exploring Operation: 70-20=50, Resulting Numbers: [32, 50]
Generated Node #0,1,1: 24:[32, 50] Operation: 70-20=50
Exploring Operation: 70-32=38, Resulting Numbers: [20, 38]
Generated Node #0,1,2: 24:[20, 38] Operation: 70-32=38
Moving to Node #0,1,2
Current State: 24:[20, 38], Operations: ['80/4=20', '70-32=38']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,24 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,24 unequal: No Solution
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[32, 50], Operations: ['80/4=20', '70-20=50']
Exploring Operation: 32*50=1600, Resulting Numbers: [1600]
1600,24 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,24 unequal: No Solution
Exploring Operation: 32+50=82, Resulting Numbers: [82]
82,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[70, 12], Operations: ['80/4=20', '32-20=12']
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,24 unequal: No Solution
Exploring Operation: 70*12=840, Resulting Numbers: [840]
840,24 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[4, 70, 48], Operations: ['80-32=48']
Exploring Operation: 70-4=66, Resulting Numbers: [48, 66]
Generated Node #0,2,0: 24:[48, 66] Operation: 70-4=66
Exploring Operation: 70-48=22, Resulting Numbers: [4, 22]
Generated Node #0,2,1: 24:[4, 22] Operation: 70-48=22
Exploring Operation: 48/4=12, Resulting Numbers: [70, 12]
Generated Node #0,2,2: 24:[70, 12] Operation: 48/4=12
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 24:[4, 22], Operations: ['80-32=48', '70-48=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,24 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,24 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,24 unequal: No Solution
No 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: 24:[70, 12], Operations: ['80-32=48', '48/4=12']
Exploring Operation: 70*12=840, Resulting Numbers: [840]
840,24 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,24 unequal: No Solution
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,24 unequal: No Solution
No 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: 24:[48, 66], Operations: ['80-32=48', '70-4=66']
Exploring Operation: 48*66=3168, Resulting Numbers: [3168]
3168,24 unequal: No Solution
Exploring Operation: 48+66=114, Resulting Numbers: [114]
114,24 unequal: No Solution
Exploring Operation: 66-48=18, Resulting Numbers: [18]
18,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
48,
73,
80,
31
] | 73 | [
"80-48=32",
"32-31=1",
"73*1=73"
] | Current State: 73:[48, 73, 80, 31], Operations: []
Exploring Operation: 80-48=32, Resulting Numbers: [73, 31, 32]
Generated Node #2: [73, 31, 32] from Operation: 80-48=32
Current State: 73:[73, 31, 32], Operations: ['80-48=32']
Exploring Operation: 32-31=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 32-31=1
Current State: 73:[73, 1], Operations: ['80-48=32', '32-31=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[48, 73, 80, 31], Operations: []
Exploring Operation: 80-31=49, Resulting Numbers: [48, 73, 49]
Generated Node #0,0: 73:[48, 73, 49] Operation: 80-31=49
Exploring Operation: 48+31=79, Resulting Numbers: [73, 80, 79]
Generated Node #0,1: 73:[73, 80, 79] Operation: 48+31=79
Exploring Operation: 73+31=104, Resulting Numbers: [48, 80, 104]
Generated Node #0,2: 73:[48, 80, 104] Operation: 73+31=104
Exploring Operation: 48-31=17, Resulting Numbers: [73, 80, 17]
Generated Node #0,3: 73:[73, 80, 17] Operation: 48-31=17
Moving to Node #0,1
Current State: 73:[73, 80, 79], Operations: ['48+31=79']
Exploring Operation: 79-73=6, Resulting Numbers: [80, 6]
Generated Node #0,1,0: 73:[80, 6] Operation: 79-73=6
Exploring Operation: 80-79=1, Resulting Numbers: [73, 1]
Generated Node #0,1,1: 73:[73, 1] Operation: 80-79=1
Exploring Operation: 80-73=7, Resulting Numbers: [79, 7]
Generated Node #0,1,2: 73:[79, 7] Operation: 80-73=7
Exploring Operation: 73+80=153, Resulting Numbers: [79, 153]
Generated Node #0,1,3: 73:[79, 153] Operation: 73+80=153
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[73, 1], Operations: ['48+31=79', '80-79=1']
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[48, 73, 80, 31], Operations: []
Exploring Operation: 48+31=79, Resulting Numbers: [73, 80, 79]
Generated Node #0,1: 73:[73, 80, 79] Operation: 48+31=79
Moving to Node #0,1
Current State: 73:[73, 80, 79], Operations: ['48+31=79']
Exploring Operation: 80-79=1, Resulting Numbers: [73, 1]
Generated Node #0,1,1: 73:[73, 1] Operation: 80-79=1
Moving to Node #0,1,1
Current State: 73:[73, 1], Operations: ['48+31=79', '80-79=1']
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
85,
11,
97,
8
] | 44 | [
"97-85=12",
"12-8=4",
"11*4=44"
] | Current State: 44:[85, 11, 97, 8], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [11, 8, 12]
Generated Node #2: [11, 8, 12] from Operation: 97-85=12
Current State: 44:[11, 8, 12], Operations: ['97-85=12']
Exploring Operation: 12-8=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 12-8=4
Current State: 44:[11, 4], Operations: ['97-85=12', '12-8=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[85, 11, 97, 8], Operations: []
Exploring Operation: 85-11=74, Resulting Numbers: [97, 8, 74]
Generated Node #0,0: 44:[97, 8, 74] Operation: 85-11=74
Exploring Operation: 97-85=12, Resulting Numbers: [11, 8, 12]
Generated Node #0,1: 44:[11, 8, 12] Operation: 97-85=12
Moving to Node #0,1
Current State: 44:[11, 8, 12], Operations: ['97-85=12']
Exploring Operation: 11-8=3, Resulting Numbers: [12, 3]
Generated Node #0,1,0: 44:[12, 3] Operation: 11-8=3
Exploring Operation: 12-8=4, Resulting Numbers: [11, 4]
Generated Node #0,1,1: 44:[11, 4] Operation: 12-8=4
Moving to Node #0,0
Current State: 44:[97, 8, 74], Operations: ['85-11=74']
Exploring Operation: 97-74=23, Resulting Numbers: [8, 23]
Generated Node #0,0,0: 44:[8, 23] Operation: 97-74=23
Exploring Operation: 97-8=89, Resulting Numbers: [74, 89]
Generated Node #0,0,1: 44:[74, 89] Operation: 97-8=89
Moving to Node #0,1,1
Current State: 44:[11, 4], Operations: ['97-85=12', '12-8=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[85, 11, 97, 8], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [11, 8, 12]
Generated Node #0,1: 44:[11, 8, 12] Operation: 97-85=12
Moving to Node #0,1
Current State: 44:[11, 8, 12], Operations: ['97-85=12']
Exploring Operation: 12-8=4, Resulting Numbers: [11, 4]
Generated Node #0,1,1: 44:[11, 4] Operation: 12-8=4
Moving to Node #0,1,1
Current State: 44:[11, 4], Operations: ['97-85=12', '12-8=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
34,
2,
48,
83
] | 33 | [
"34*2=68",
"83-48=35",
"68-35=33"
] | Current State: 33:[34, 2, 48, 83], Operations: []
Exploring Operation: 34*2=68, Resulting Numbers: [48, 83, 68]
Generated Node #2: [48, 83, 68] from Operation: 34*2=68
Current State: 33:[48, 83, 68], Operations: ['34*2=68']
Exploring Operation: 83-48=35, Resulting Numbers: [68, 35]
Generated Node #3: [68, 35] from Operation: 83-48=35
Current State: 33:[68, 35], Operations: ['34*2=68', '83-48=35']
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[34, 2, 48, 83], Operations: []
Exploring Operation: 83-34=49, Resulting Numbers: [2, 48, 49]
Generated Node #0,0: 33:[2, 48, 49] Operation: 83-34=49
Exploring Operation: 48-2=46, Resulting Numbers: [34, 83, 46]
Generated Node #0,1: 33:[34, 83, 46] Operation: 48-2=46
Exploring Operation: 83-48=35, Resulting Numbers: [34, 2, 35]
Generated Node #0,2: 33:[34, 2, 35] Operation: 83-48=35
Exploring Operation: 48/2=24, Resulting Numbers: [34, 83, 24]
Generated Node #0,3: 33:[34, 83, 24] Operation: 48/2=24
Exploring Operation: 48-34=14, Resulting Numbers: [2, 83, 14]
Generated Node #0,4: 33:[2, 83, 14] Operation: 48-34=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[34, 2, 35], Operations: ['83-48=35']
Exploring Operation: 34-2=32, Resulting Numbers: [35, 32]
Generated Node #0,2,0: 33:[35, 32] Operation: 34-2=32
Exploring Operation: 35-2=33, Resulting Numbers: [34, 33]
Generated Node #0,2,1: 33:[34, 33] Operation: 35-2=33
Exploring Operation: 2+35=37, Resulting Numbers: [34, 37]
Generated Node #0,2,2: 33:[34, 37] Operation: 2+35=37
Exploring Operation: 35-34=1, Resulting Numbers: [2, 1]
Generated Node #0,2,3: 33:[2, 1] Operation: 35-34=1
Exploring Operation: 34+2=36, Resulting Numbers: [35, 36]
Generated Node #0,2,4: 33:[35, 36] Operation: 34+2=36
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 33:[34, 33], Operations: ['83-48=35', '35-2=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,33 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 33:[35, 32], Operations: ['83-48=35', '34-2=32']
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,33 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,33 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 33:[2, 1], Operations: ['83-48=35', '35-34=1']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 33:[34, 37], Operations: ['83-48=35', '2+35=37']
Exploring Operation: 34*37=1258, Resulting Numbers: [1258]
1258,33 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 33:[35, 36], Operations: ['83-48=35', '34+2=36']
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 35*36=1260, Resulting Numbers: [1260]
1260,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[2, 48, 49], Operations: ['83-34=49']
Exploring Operation: 48-2=46, Resulting Numbers: [49, 46]
Generated Node #0,0,0: 33:[49, 46] Operation: 48-2=46
Exploring Operation: 48/2=24, Resulting Numbers: [49, 24]
Generated Node #0,0,1: 33:[49, 24] Operation: 48/2=24
Exploring Operation: 2+48=50, Resulting Numbers: [49, 50]
Generated Node #0,0,2: 33:[49, 50] Operation: 2+48=50
Exploring Operation: 49-48=1, Resulting Numbers: [2, 1]
Generated Node #0,0,3: 33:[2, 1] Operation: 49-48=1
Exploring Operation: 49-2=47, Resulting Numbers: [48, 47]
Generated Node #0,0,4: 33:[48, 47] Operation: 49-2=47
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 33:[2, 1], Operations: ['83-34=49', '49-48=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 33:[49, 24], Operations: ['83-34=49', '48/2=24']
Exploring Operation: 49*24=1176, Resulting Numbers: [1176]
1176,33 unequal: No Solution
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[49, 46], Operations: ['83-34=49', '48-2=46']
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,33 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 33:[48, 47], Operations: ['83-34=49', '49-2=47']
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,33 unequal: No Solution
Exploring Operation: 48*47=2256, Resulting Numbers: [2256]
2256,33 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 33:[49, 50], Operations: ['83-34=49', '2+48=50']
Exploring Operation: 49*50=2450, Resulting Numbers: [2450]
2450,33 unequal: No Solution
Exploring Operation: 49+50=99, Resulting Numbers: [99]
99,33 unequal: No Solution
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 33:[2, 83, 14], Operations: ['48-34=14']
Exploring Operation: 14-2=12, Resulting Numbers: [83, 12]
Generated Node #0,4,0: 33:[83, 12] Operation: 14-2=12
Exploring Operation: 83-14=69, Resulting Numbers: [2, 69]
Generated Node #0,4,1: 33:[2, 69] Operation: 83-14=69
Exploring Operation: 2+83=85, Resulting Numbers: [14, 85]
Generated Node #0,4,2: 33:[14, 85] Operation: 2+83=85
Exploring Operation: 14/2=7, Resulting Numbers: [83, 7]
Generated Node #0,4,3: 33:[83, 7] Operation: 14/2=7
Exploring Operation: 83-2=81, Resulting Numbers: [14, 81]
Generated Node #0,4,4: 33:[14, 81] Operation: 83-2=81
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 33:[2, 69], Operations: ['48-34=14', '83-14=69']
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,33 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,33 unequal: No Solution
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 33:[83, 12], Operations: ['48-34=14', '14-2=12']
Exploring Operation: 83*12=996, Resulting Numbers: [996]
996,33 unequal: No Solution
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,33 unequal: No Solution
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 33:[14, 81], Operations: ['48-34=14', '83-2=81']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,33 unequal: No Solution
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,33 unequal: No Solution
Exploring Operation: 14*81=1134, Resulting Numbers: [1134]
1134,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 33:[83, 7], Operations: ['48-34=14', '14/2=7']
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,33 unequal: No Solution
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 33:[14, 85], Operations: ['48-34=14', '2+83=85']
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,33 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 14*85=1190, Resulting Numbers: [1190]
1190,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[34, 83, 24], Operations: ['48/2=24']
Exploring Operation: 83-24=59, Resulting Numbers: [34, 59]
Generated Node #0,3,0: 33:[34, 59] Operation: 83-24=59
Exploring Operation: 34-24=10, Resulting Numbers: [83, 10]
Generated Node #0,3,1: 33:[83, 10] Operation: 34-24=10
Exploring Operation: 34+24=58, Resulting Numbers: [83, 58]
Generated Node #0,3,2: 33:[83, 58] Operation: 34+24=58
Exploring Operation: 83+24=107, Resulting Numbers: [34, 107]
Generated Node #0,3,3: 33:[34, 107] Operation: 83+24=107
Exploring Operation: 83-34=49, Resulting Numbers: [24, 49]
Generated Node #0,3,4: 33:[24, 49] Operation: 83-34=49
Moving to Node #0,3,4
Current State: 33:[24, 49], Operations: ['48/2=24', '83-34=49']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 24*49=1176, Resulting Numbers: [1176]
1176,33 unequal: No Solution
Exploring Operation: 24+49=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[34, 59], Operations: ['48/2=24', '83-24=59']
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 34+59=93, Resulting Numbers: [93]
93,33 unequal: No Solution
Exploring Operation: 34*59=2006, Resulting Numbers: [2006]
2006,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[83, 10], Operations: ['48/2=24', '34-24=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,33 unequal: No Solution
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 83*10=830, Resulting Numbers: [830]
830,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[83, 58], Operations: ['48/2=24', '34+24=58']
Exploring Operation: 83*58=4814, Resulting Numbers: [4814]
4814,33 unequal: No Solution
Exploring Operation: 83-58=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 83+58=141, Resulting Numbers: [141]
141,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[34, 107], Operations: ['48/2=24', '83+24=107']
Exploring Operation: 34*107=3638, Resulting Numbers: [3638]
3638,33 unequal: No Solution
Exploring Operation: 34+107=141, Resulting Numbers: [141]
141,33 unequal: No Solution
Exploring Operation: 107-34=73, Resulting Numbers: [73]
73,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[34, 83, 46], Operations: ['48-2=46']
Exploring Operation: 83-46=37, Resulting Numbers: [34, 37]
Generated Node #0,1,0: 33:[34, 37] Operation: 83-46=37
Exploring Operation: 46-34=12, Resulting Numbers: [83, 12]
Generated Node #0,1,1: 33:[83, 12] Operation: 46-34=12
Exploring Operation: 83-34=49, Resulting Numbers: [46, 49]
Generated Node #0,1,2: 33:[46, 49] Operation: 83-34=49
Exploring Operation: 34+83=117, Resulting Numbers: [46, 117]
Generated Node #0,1,3: 33:[46, 117] Operation: 34+83=117
Exploring Operation: 34+46=80, Resulting Numbers: [83, 80]
Generated Node #0,1,4: 33:[83, 80] Operation: 34+46=80
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[34, 37], Operations: ['48-2=46', '83-46=37']
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 34*37=1258, Resulting Numbers: [1258]
1258,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 33:[46, 49], Operations: ['48-2=46', '83-34=49']
Exploring Operation: 46+49=95, Resulting Numbers: [95]
95,33 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 46*49=2254, Resulting Numbers: [2254]
2254,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[83, 12], Operations: ['48-2=46', '46-34=12']
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,33 unequal: No Solution
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 83*12=996, Resulting Numbers: [996]
996,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 33:[46, 117], Operations: ['48-2=46', '34+83=117']
Exploring Operation: 46+117=163, Resulting Numbers: [163]
163,33 unequal: No Solution
Exploring Operation: 117-46=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 46*117=5382, Resulting Numbers: [5382]
5382,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 33:[83, 80], Operations: ['48-2=46', '34+46=80']
Exploring Operation: 83+80=163, Resulting Numbers: [163]
163,33 unequal: No Solution
Exploring Operation: 83*80=6640, Resulting Numbers: [6640]
6640,33 unequal: No Solution
Exploring Operation: 83-80=3, Resulting Numbers: [3]
3,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
16,
31,
3,
41
] | 18 | [
"16+31=47",
"47-41=6",
"3*6=18"
] | Current State: 18:[16, 31, 3, 41], Operations: []
Exploring Operation: 16+31=47, Resulting Numbers: [3, 41, 47]
Generated Node #2: [3, 41, 47] from Operation: 16+31=47
Current State: 18:[3, 41, 47], Operations: ['16+31=47']
Exploring Operation: 47-41=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 47-41=6
Current State: 18:[3, 6], Operations: ['16+31=47', '47-41=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[16, 31, 3, 41], Operations: []
Exploring Operation: 41-31=10, Resulting Numbers: [16, 3, 10]
Generated Node #0,0: 18:[16, 3, 10] Operation: 41-31=10
Exploring Operation: 41-16=25, Resulting Numbers: [31, 3, 25]
Generated Node #0,1: 18:[31, 3, 25] Operation: 41-16=25
Moving to Node #0,0
Current State: 18:[16, 3, 10], Operations: ['41-31=10']
Exploring Operation: 16+3=19, Resulting Numbers: [10, 19]
Generated Node #0,0,0: 18:[10, 19] Operation: 16+3=19
Exploring Operation: 16-10=6, Resulting Numbers: [3, 6]
Generated Node #0,0,1: 18:[3, 6] Operation: 16-10=6
Moving to Node #0,1
Current State: 18:[31, 3, 25], Operations: ['41-16=25']
Exploring Operation: 31-25=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 18:[3, 6] Operation: 31-25=6
Exploring Operation: 31-3=28, Resulting Numbers: [25, 28]
Generated Node #0,1,1: 18:[25, 28] Operation: 31-3=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[3, 6], Operations: ['41-16=25', '31-25=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[16, 31, 3, 41], Operations: []
Exploring Operation: 41-16=25, Resulting Numbers: [31, 3, 25]
Generated Node #0,1: 18:[31, 3, 25] Operation: 41-16=25
Moving to Node #0,1
Current State: 18:[31, 3, 25], Operations: ['41-16=25']
Exploring Operation: 31-25=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 18:[3, 6] Operation: 31-25=6
Moving to Node #0,1,0
Current State: 18:[3, 6], Operations: ['41-16=25', '31-25=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
39,
95,
37,
84
] | 22 | [
"39-37=2",
"95-84=11",
"2*11=22"
] | Current State: 22:[39, 95, 37, 84], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [95, 84, 2]
Generated Node #2: [95, 84, 2] from Operation: 39-37=2
Current State: 22:[95, 84, 2], Operations: ['39-37=2']
Exploring Operation: 95-84=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 95-84=11
Current State: 22:[2, 11], Operations: ['39-37=2', '95-84=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[39, 95, 37, 84], Operations: []
Exploring Operation: 95-39=56, Resulting Numbers: [37, 84, 56]
Generated Node #0,0: 22:[37, 84, 56] Operation: 95-39=56
Exploring Operation: 95-84=11, Resulting Numbers: [39, 37, 11]
Generated Node #0,1: 22:[39, 37, 11] Operation: 95-84=11
Moving to Node #0,1
Current State: 22:[39, 37, 11], Operations: ['95-84=11']
Exploring Operation: 39-37=2, Resulting Numbers: [11, 2]
Generated Node #0,1,0: 22:[11, 2] Operation: 39-37=2
Exploring Operation: 39-11=28, Resulting Numbers: [37, 28]
Generated Node #0,1,1: 22:[37, 28] Operation: 39-11=28
Moving to Node #0,0
Current State: 22:[37, 84, 56], Operations: ['95-39=56']
Exploring Operation: 84-37=47, Resulting Numbers: [56, 47]
Generated Node #0,0,0: 22:[56, 47] Operation: 84-37=47
Exploring Operation: 84-56=28, Resulting Numbers: [37, 28]
Generated Node #0,0,1: 22:[37, 28] Operation: 84-56=28
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[37, 28], Operations: ['95-39=56', '84-56=28']
Exploring Operation: 37+28=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,22 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:[56, 47], Operations: ['95-39=56', '84-37=47']
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,22 unequal: No Solution
Exploring Operation: 56+47=103, Resulting Numbers: [103]
103,22 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: 22:[11, 2], Operations: ['95-84=11', '39-37=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[39, 95, 37, 84], Operations: []
Exploring Operation: 95-84=11, Resulting Numbers: [39, 37, 11]
Generated Node #0,1: 22:[39, 37, 11] Operation: 95-84=11
Moving to Node #0,1
Current State: 22:[39, 37, 11], Operations: ['95-84=11']
Exploring Operation: 39-37=2, Resulting Numbers: [11, 2]
Generated Node #0,1,0: 22:[11, 2] Operation: 39-37=2
Moving to Node #0,1,0
Current State: 22:[11, 2], Operations: ['95-84=11', '39-37=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
95,
4,
85,
85
] | 100 | [
"95+4=99",
"85/85=1",
"99+1=100"
] | Current State: 100:[95, 4, 85, 85], Operations: []
Exploring Operation: 95+4=99, Resulting Numbers: [85, 85, 99]
Generated Node #2: [85, 85, 99] from Operation: 95+4=99
Current State: 100:[85, 85, 99], Operations: ['95+4=99']
Exploring Operation: 85/85=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 85/85=1
Current State: 100:[99, 1], Operations: ['95+4=99', '85/85=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[95, 4, 85, 85], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [95, 4, 1]
Generated Node #0,0: 100:[95, 4, 1] Operation: 85/85=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[95, 4, 1], Operations: ['85/85=1']
Exploring Operation: 95+4=99, Resulting Numbers: [1, 99]
Generated Node #0,0,0: 100:[1, 99] Operation: 95+4=99
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[1, 99], Operations: ['85/85=1', '95+4=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[95, 4, 85, 85], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [95, 4, 1]
Generated Node #0,0: 100:[95, 4, 1] Operation: 85/85=1
Moving to Node #0,0
Current State: 100:[95, 4, 1], Operations: ['85/85=1']
Exploring Operation: 95+4=99, Resulting Numbers: [1, 99]
Generated Node #0,0,0: 100:[1, 99] Operation: 95+4=99
Moving to Node #0,0,0
Current State: 100:[1, 99], Operations: ['85/85=1', '95+4=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
17,
10,
60,
58
] | 14 | [
"17-10=7",
"60-58=2",
"7*2=14"
] | Current State: 14:[17, 10, 60, 58], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [60, 58, 7]
Generated Node #2: [60, 58, 7] from Operation: 17-10=7
Current State: 14:[60, 58, 7], Operations: ['17-10=7']
Exploring Operation: 60-58=2, Resulting Numbers: [7, 2]
Generated Node #3: [7, 2] from Operation: 60-58=2
Current State: 14:[7, 2], Operations: ['17-10=7', '60-58=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[17, 10, 60, 58], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [17, 58, 6]
Generated Node #0,0: 14:[17, 58, 6] Operation: 60/10=6
Exploring Operation: 60-58=2, Resulting Numbers: [17, 10, 2]
Generated Node #0,1: 14:[17, 10, 2] Operation: 60-58=2
Exploring Operation: 60-17=43, Resulting Numbers: [10, 58, 43]
Generated Node #0,2: 14:[10, 58, 43] Operation: 60-17=43
Moving to Node #0,1
Current State: 14:[17, 10, 2], Operations: ['60-58=2']
Exploring Operation: 10-2=8, Resulting Numbers: [17, 8]
Generated Node #0,1,0: 14:[17, 8] Operation: 10-2=8
Exploring Operation: 17-2=15, Resulting Numbers: [10, 15]
Generated Node #0,1,1: 14:[10, 15] Operation: 17-2=15
Exploring Operation: 17-10=7, Resulting Numbers: [2, 7]
Generated Node #0,1,2: 14:[2, 7] Operation: 17-10=7
Moving to Node #0,0
Current State: 14:[17, 58, 6], Operations: ['60/10=6']
Exploring Operation: 58-17=41, Resulting Numbers: [6, 41]
Generated Node #0,0,0: 14:[6, 41] Operation: 58-17=41
Exploring Operation: 58-6=52, Resulting Numbers: [17, 52]
Generated Node #0,0,1: 14:[17, 52] Operation: 58-6=52
Exploring Operation: 17-6=11, Resulting Numbers: [58, 11]
Generated Node #0,0,2: 14:[58, 11] Operation: 17-6=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[6, 41], Operations: ['60/10=6', '58-17=41']
Exploring Operation: 6+41=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 6*41=246, Resulting Numbers: [246]
246,14 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[17, 52], Operations: ['60/10=6', '58-6=52']
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 17+52=69, Resulting Numbers: [69]
69,14 unequal: No Solution
Exploring Operation: 17*52=884, Resulting Numbers: [884]
884,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[58, 11], Operations: ['60/10=6', '17-6=11']
Exploring Operation: 58+11=69, Resulting Numbers: [69]
69,14 unequal: No Solution
Exploring Operation: 58*11=638, Resulting Numbers: [638]
638,14 unequal: No Solution
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,14 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: 14:[10, 58, 43], Operations: ['60-17=43']
Exploring Operation: 58-43=15, Resulting Numbers: [10, 15]
Generated Node #0,2,0: 14:[10, 15] Operation: 58-43=15
Exploring Operation: 43-10=33, Resulting Numbers: [58, 33]
Generated Node #0,2,1: 14:[58, 33] Operation: 43-10=33
Exploring Operation: 58-10=48, Resulting Numbers: [43, 48]
Generated Node #0,2,2: 14:[43, 48] Operation: 58-10=48
Moving to Node #0,1,2
Current State: 14:[2, 7], Operations: ['60-58=2', '17-10=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,14 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[17, 10, 60, 58], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [17, 10, 2]
Generated Node #0,1: 14:[17, 10, 2] Operation: 60-58=2
Moving to Node #0,1
Current State: 14:[17, 10, 2], Operations: ['60-58=2']
Exploring Operation: 17-10=7, Resulting Numbers: [2, 7]
Generated Node #0,1,2: 14:[2, 7] Operation: 17-10=7
Moving to Node #0,1,2
Current State: 14:[2, 7], Operations: ['60-58=2', '17-10=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
[
13,
92,
79,
53
] | 54 | [
"92-13=79",
"79/79=1",
"53+1=54"
] | Current State: 54:[13, 92, 79, 53], Operations: []
Exploring Operation: 92-13=79, Resulting Numbers: [79, 53, 79]
Generated Node #2: [79, 53, 79] from Operation: 92-13=79
Current State: 54:[79, 53, 79], Operations: ['92-13=79']
Exploring Operation: 79/79=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 79/79=1
Current State: 54:[53, 1], Operations: ['92-13=79', '79/79=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[13, 92, 79, 53], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [13, 53, 13]
Generated Node #0,0: 54:[13, 53, 13] Operation: 92-79=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[13, 53, 13], Operations: ['92-79=13']
Exploring Operation: 13+13=26, Resulting Numbers: [53, 26]
Generated Node #0,0,0: 54:[53, 26] Operation: 13+13=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[53, 26], Operations: ['92-79=13', '13+13=26']
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,54 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 |
[
52,
68,
20,
15
] | 90 | [
"52+68=120",
"120/20=6",
"15*6=90"
] | Current State: 90:[52, 68, 20, 15], Operations: []
Exploring Operation: 52+68=120, Resulting Numbers: [20, 15, 120]
Generated Node #2: [20, 15, 120] from Operation: 52+68=120
Current State: 90:[20, 15, 120], Operations: ['52+68=120']
Exploring Operation: 120/20=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 120/20=6
Current State: 90:[15, 6], Operations: ['52+68=120', '120/20=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[52, 68, 20, 15], Operations: []
Exploring Operation: 68+15=83, Resulting Numbers: [52, 20, 83]
Generated Node #0,0: 90:[52, 20, 83] Operation: 68+15=83
Exploring Operation: 68+20=88, Resulting Numbers: [52, 15, 88]
Generated Node #0,1: 90:[52, 15, 88] Operation: 68+20=88
Exploring Operation: 68-20=48, Resulting Numbers: [52, 15, 48]
Generated Node #0,2: 90:[52, 15, 48] Operation: 68-20=48
Exploring Operation: 68-52=16, Resulting Numbers: [20, 15, 16]
Generated Node #0,3: 90:[20, 15, 16] Operation: 68-52=16
Moving to Node #0,3
Current State: 90:[20, 15, 16], Operations: ['68-52=16']
Exploring Operation: 16-15=1, Resulting Numbers: [20, 1]
Generated Node #0,3,0: 90:[20, 1] Operation: 16-15=1
Exploring Operation: 20-16=4, Resulting Numbers: [15, 4]
Generated Node #0,3,1: 90:[15, 4] Operation: 20-16=4
Exploring Operation: 15+16=31, Resulting Numbers: [20, 31]
Generated Node #0,3,2: 90:[20, 31] Operation: 15+16=31
Exploring Operation: 20-15=5, Resulting Numbers: [16, 5]
Generated Node #0,3,3: 90:[16, 5] Operation: 20-15=5
Moving to Node #0,1
Current State: 90:[52, 15, 88], Operations: ['68+20=88']
Exploring Operation: 52-15=37, Resulting Numbers: [88, 37]
Generated Node #0,1,0: 90:[88, 37] Operation: 52-15=37
Exploring Operation: 52+15=67, Resulting Numbers: [88, 67]
Generated Node #0,1,1: 90:[88, 67] Operation: 52+15=67
Exploring Operation: 15+88=103, Resulting Numbers: [52, 103]
Generated Node #0,1,2: 90:[52, 103] Operation: 15+88=103
Exploring Operation: 88-52=36, Resulting Numbers: [15, 36]
Generated Node #0,1,3: 90:[15, 36] Operation: 88-52=36
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 90:[15, 36], Operations: ['68+20=88', '88-52=36']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,90 unequal: No Solution
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,90 unequal: No Solution
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,90 unequal: No Solution
No 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: 90:[88, 37], Operations: ['68+20=88', '52-15=37']
Exploring Operation: 88*37=3256, Resulting Numbers: [3256]
3256,90 unequal: No Solution
Exploring Operation: 88+37=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,90 unequal: No Solution
No 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: 90:[52, 103], Operations: ['68+20=88', '15+88=103']
Exploring Operation: 52*103=5356, Resulting Numbers: [5356]
5356,90 unequal: No Solution
Exploring Operation: 52+103=155, Resulting Numbers: [155]
155,90 unequal: No Solution
Exploring Operation: 103-52=51, Resulting Numbers: [51]
51,90 unequal: No Solution
No 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: 90:[88, 67], Operations: ['68+20=88', '52+15=67']
Exploring Operation: 88*67=5896, Resulting Numbers: [5896]
5896,90 unequal: No Solution
Exploring Operation: 88-67=21, Resulting Numbers: [21]
21,90 unequal: No Solution
Exploring Operation: 88+67=155, Resulting Numbers: [155]
155,90 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: 90:[52, 15, 48], Operations: ['68-20=48']
Exploring Operation: 48-15=33, Resulting Numbers: [52, 33]
Generated Node #0,2,0: 90:[52, 33] Operation: 48-15=33
Exploring Operation: 52+48=100, Resulting Numbers: [15, 100]
Generated Node #0,2,1: 90:[15, 100] Operation: 52+48=100
Exploring Operation: 52-15=37, Resulting Numbers: [48, 37]
Generated Node #0,2,2: 90:[48, 37] Operation: 52-15=37
Exploring Operation: 52-48=4, Resulting Numbers: [15, 4]
Generated Node #0,2,3: 90:[15, 4] Operation: 52-48=4
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 90:[15, 4], Operations: ['68-20=48', '52-48=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,90 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,90 unequal: No Solution
No 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: 90:[52, 33], Operations: ['68-20=48', '48-15=33']
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,90 unequal: No Solution
Exploring Operation: 52*33=1716, Resulting Numbers: [1716]
1716,90 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,90 unequal: No Solution
No 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: 90:[15, 100], Operations: ['68-20=48', '52+48=100']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,90 unequal: No Solution
Exploring Operation: 15*100=1500, Resulting Numbers: [1500]
1500,90 unequal: No Solution
Exploring Operation: 15+100=115, Resulting Numbers: [115]
115,90 unequal: No Solution
No 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: 90:[48, 37], Operations: ['68-20=48', '52-15=37']
Exploring Operation: 48*37=1776, Resulting Numbers: [1776]
1776,90 unequal: No Solution
Exploring Operation: 48+37=85, Resulting Numbers: [85]
85,90 unequal: No Solution
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,90 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: 90:[52, 20, 83], Operations: ['68+15=83']
Exploring Operation: 52+20=72, Resulting Numbers: [83, 72]
Generated Node #0,0,0: 90:[83, 72] Operation: 52+20=72
Exploring Operation: 83-52=31, Resulting Numbers: [20, 31]
Generated Node #0,0,1: 90:[20, 31] Operation: 83-52=31
Exploring Operation: 20+83=103, Resulting Numbers: [52, 103]
Generated Node #0,0,2: 90:[52, 103] Operation: 20+83=103
Exploring Operation: 52-20=32, Resulting Numbers: [83, 32]
Generated Node #0,0,3: 90:[83, 32] Operation: 52-20=32
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[20, 31], Operations: ['68+15=83', '83-52=31']
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,90 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 20*31=620, Resulting Numbers: [620]
620,90 unequal: No Solution
No 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: 90:[83, 32], Operations: ['68+15=83', '52-20=32']
Exploring Operation: 83+32=115, Resulting Numbers: [115]
115,90 unequal: No Solution
Exploring Operation: 83*32=2656, Resulting Numbers: [2656]
2656,90 unequal: No Solution
Exploring Operation: 83-32=51, Resulting Numbers: [51]
51,90 unequal: No Solution
No 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: 90:[52, 103], Operations: ['68+15=83', '20+83=103']
Exploring Operation: 52+103=155, Resulting Numbers: [155]
155,90 unequal: No Solution
Exploring Operation: 103-52=51, Resulting Numbers: [51]
51,90 unequal: No Solution
Exploring Operation: 52*103=5356, Resulting Numbers: [5356]
5356,90 unequal: No Solution
No 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: 90:[83, 72], Operations: ['68+15=83', '52+20=72']
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 83*72=5976, Resulting Numbers: [5976]
5976,90 unequal: No Solution
Exploring Operation: 83+72=155, Resulting Numbers: [155]
155,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 90:[15, 4], Operations: ['68-52=16', '20-16=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,90 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Moving to Node #0,3,3
Current State: 90:[16, 5], Operations: ['68-52=16', '20-15=5']
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,90 unequal: No Solution
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,90 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Moving to Node #0,3,2
Current State: 90:[20, 31], Operations: ['68-52=16', '15+16=31']
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,90 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 20*31=620, Resulting Numbers: [620]
620,90 unequal: No Solution
Moving to Node #0,3,0
Current State: 90:[20, 1], Operations: ['68-52=16', '16-15=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,90 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,90 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,90 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,90 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
73,
4,
49,
69
] | 78 | [
"69-49=20",
"20/4=5",
"73+5=78"
] | Current State: 78:[73, 4, 49, 69], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [73, 4, 20]
Generated Node #2: [73, 4, 20] from Operation: 69-49=20
Current State: 78:[73, 4, 20], Operations: ['69-49=20']
Exploring Operation: 20/4=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 20/4=5
Current State: 78:[73, 5], Operations: ['69-49=20', '20/4=5']
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[73, 4, 49, 69], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [4, 49, 4]
Generated Node #0,0: 78:[4, 49, 4] Operation: 73-69=4
Exploring Operation: 49-4=45, Resulting Numbers: [73, 69, 45]
Generated Node #0,1: 78:[73, 69, 45] Operation: 49-4=45
Exploring Operation: 73+4=77, Resulting Numbers: [49, 69, 77]
Generated Node #0,2: 78:[49, 69, 77] Operation: 73+4=77
Exploring Operation: 69-49=20, Resulting Numbers: [73, 4, 20]
Generated Node #0,3: 78:[73, 4, 20] Operation: 69-49=20
Exploring Operation: 73-49=24, Resulting Numbers: [4, 69, 24]
Generated Node #0,4: 78:[4, 69, 24] Operation: 73-49=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[4, 49, 4], Operations: ['73-69=4']
Exploring Operation: 49-4=45, Resulting Numbers: [4, 45]
Generated Node #0,0,0: 78:[4, 45] Operation: 49-4=45
Exploring Operation: 49-4=45, Resulting Numbers: [4, 45]
Generated Node #0,0,1: 78:[4, 45] Operation: 49-4=45
Exploring Operation: 4-4=0, Resulting Numbers: [49, 0]
Generated Node #0,0,2: 78:[49, 0] Operation: 4-4=0
Exploring Operation: 4/4=1, Resulting Numbers: [49, 1]
Generated Node #0,0,3: 78:[49, 1] Operation: 4/4=1
Exploring Operation: 4+4=8, Resulting Numbers: [49, 8]
Generated Node #0,0,4: 78:[49, 8] Operation: 4+4=8
Moving to Node #0,0,0
Current State: 78:[4, 45], Operations: ['73-69=4', '49-4=45']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,78 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,78 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[4, 45], Operations: ['73-69=4', '49-4=45']
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,78 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,78 unequal: No Solution
Moving to Node #0,0,3
Current State: 78:[49, 1], Operations: ['73-69=4', '4/4=1']
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,78 unequal: No Solution
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[49, 0], Operations: ['73-69=4', '4-4=0']
Exploring Operation: 49-0=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 49*0=0, Resulting Numbers: [0]
0,78 unequal: No Solution
Exploring Operation: 49+0=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Moving to Node #0,0,4
Current State: 78:[49, 8], Operations: ['73-69=4', '4+4=8']
Exploring Operation: 49*8=392, Resulting Numbers: [392]
392,78 unequal: No Solution
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,78 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[73, 4, 20], Operations: ['69-49=20']
Exploring Operation: 4*20=80, Resulting Numbers: [73, 80]
Generated Node #0,3,0: 78:[73, 80] Operation: 4*20=80
Exploring Operation: 73+4=77, Resulting Numbers: [20, 77]
Generated Node #0,3,1: 78:[20, 77] Operation: 73+4=77
Exploring Operation: 20/4=5, Resulting Numbers: [73, 5]
Generated Node #0,3,2: 78:[73, 5] Operation: 20/4=5
Exploring Operation: 20-4=16, Resulting Numbers: [73, 16]
Generated Node #0,3,3: 78:[73, 16] Operation: 20-4=16
Exploring Operation: 4+20=24, Resulting Numbers: [73, 24]
Generated Node #0,3,4: 78:[73, 24] Operation: 4+20=24
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 78:[73, 5], Operations: ['69-49=20', '20/4=5']
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[73, 4, 49, 69], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [73, 4, 20]
Generated Node #0,3: 78:[73, 4, 20] Operation: 69-49=20
Moving to Node #0,3
Current State: 78:[73, 4, 20], Operations: ['69-49=20']
Exploring Operation: 20/4=5, Resulting Numbers: [73, 5]
Generated Node #0,3,2: 78:[73, 5] Operation: 20/4=5
Moving to Node #0,3,2
Current State: 78:[73, 5], Operations: ['69-49=20', '20/4=5']
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
38,
30,
48,
52
] | 51 | [
"38+52=90",
"90/30=3",
"48+3=51"
] | Current State: 51:[38, 30, 48, 52], Operations: []
Exploring Operation: 38+52=90, Resulting Numbers: [30, 48, 90]
Generated Node #2: [30, 48, 90] from Operation: 38+52=90
Current State: 51:[30, 48, 90], Operations: ['38+52=90']
Exploring Operation: 90/30=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 90/30=3
Current State: 51:[48, 3], Operations: ['38+52=90', '90/30=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[38, 30, 48, 52], Operations: []
Exploring Operation: 38-30=8, Resulting Numbers: [48, 52, 8]
Generated Node #0,0: 51:[48, 52, 8] Operation: 38-30=8
Exploring Operation: 48-30=18, Resulting Numbers: [38, 52, 18]
Generated Node #0,1: 51:[38, 52, 18] Operation: 48-30=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[48, 52, 8], Operations: ['38-30=8']
Exploring Operation: 48/8=6, Resulting Numbers: [52, 6]
Generated Node #0,0,0: 51:[52, 6] Operation: 48/8=6
Exploring Operation: 52-48=4, Resulting Numbers: [8, 4]
Generated Node #0,0,1: 51:[8, 4] Operation: 52-48=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[52, 6], Operations: ['38-30=8', '48/8=6']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,51 unequal: No Solution
No 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: 51:[8, 4], Operations: ['38-30=8', '52-48=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,51 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: 51:[38, 52, 18], Operations: ['48-30=18']
Exploring Operation: 38-18=20, Resulting Numbers: [52, 20]
Generated Node #0,1,0: 51:[52, 20] Operation: 38-18=20
Exploring Operation: 52-38=14, Resulting Numbers: [18, 14]
Generated Node #0,1,1: 51:[18, 14] Operation: 52-38=14
Moving to Node #0,1,0
Current State: 51:[52, 20], Operations: ['48-30=18', '38-18=20']
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,51 unequal: No Solution
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[18, 14], Operations: ['48-30=18', '52-38=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
17,
16,
46,
98
] | 26 | [
"46+98=144",
"144/16=9",
"17+9=26"
] | Current State: 26:[17, 16, 46, 98], Operations: []
Exploring Operation: 46+98=144, Resulting Numbers: [17, 16, 144]
Generated Node #2: [17, 16, 144] from Operation: 46+98=144
Current State: 26:[17, 16, 144], Operations: ['46+98=144']
Exploring Operation: 144/16=9, Resulting Numbers: [17, 9]
Generated Node #3: [17, 9] from Operation: 144/16=9
Current State: 26:[17, 9], Operations: ['46+98=144', '144/16=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[17, 16, 46, 98], Operations: []
Exploring Operation: 98-17=81, Resulting Numbers: [16, 46, 81]
Generated Node #0,0: 26:[16, 46, 81] Operation: 98-17=81
Exploring Operation: 98-46=52, Resulting Numbers: [17, 16, 52]
Generated Node #0,1: 26:[17, 16, 52] Operation: 98-46=52
Exploring Operation: 46-17=29, Resulting Numbers: [16, 98, 29]
Generated Node #0,2: 26:[16, 98, 29] Operation: 46-17=29
Moving to Node #0,1
Current State: 26:[17, 16, 52], Operations: ['98-46=52']
Exploring Operation: 52-17=35, Resulting Numbers: [16, 35]
Generated Node #0,1,0: 26:[16, 35] Operation: 52-17=35
Exploring Operation: 52-16=36, Resulting Numbers: [17, 36]
Generated Node #0,1,1: 26:[17, 36] Operation: 52-16=36
Exploring Operation: 17-16=1, Resulting Numbers: [52, 1]
Generated Node #0,1,2: 26:[52, 1] Operation: 17-16=1
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[16, 35], Operations: ['98-46=52', '52-17=35']
Exploring Operation: 16+35=51, Resulting Numbers: [51]
51,26 unequal: No Solution
Exploring Operation: 16*35=560, Resulting Numbers: [560]
560,26 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[17, 36], Operations: ['98-46=52', '52-16=36']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 17*36=612, Resulting Numbers: [612]
612,26 unequal: No Solution
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 26:[52, 1], Operations: ['98-46=52', '17-16=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,26 unequal: No Solution
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,26 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,26 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: 26:[16, 46, 81], Operations: ['98-17=81']
Exploring Operation: 81-46=35, Resulting Numbers: [16, 35]
Generated Node #0,0,0: 26:[16, 35] Operation: 81-46=35
Exploring Operation: 46-16=30, Resulting Numbers: [81, 30]
Generated Node #0,0,1: 26:[81, 30] Operation: 46-16=30
Exploring Operation: 81-16=65, Resulting Numbers: [46, 65]
Generated Node #0,0,2: 26:[46, 65] Operation: 81-16=65
Moving to Node #0,2
Current State: 26:[16, 98, 29], Operations: ['46-17=29']
Exploring Operation: 29-16=13, Resulting Numbers: [98, 13]
Generated Node #0,2,0: 26:[98, 13] Operation: 29-16=13
Exploring Operation: 98-16=82, Resulting Numbers: [29, 82]
Generated Node #0,2,1: 26:[29, 82] Operation: 98-16=82
Exploring Operation: 98-29=69, Resulting Numbers: [16, 69]
Generated Node #0,2,2: 26:[16, 69] Operation: 98-29=69
Moving to Node #0,0,0
Current State: 26:[16, 35], Operations: ['98-17=81', '81-46=35']
Exploring Operation: 16*35=560, Resulting Numbers: [560]
560,26 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 16+35=51, Resulting Numbers: [51]
51,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[16, 69], Operations: ['46-17=29', '98-29=69']
Exploring Operation: 16*69=1104, Resulting Numbers: [1104]
1104,26 unequal: No Solution
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,26 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[46, 65], Operations: ['98-17=81', '81-16=65']
Exploring Operation: 65-46=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 46*65=2990, Resulting Numbers: [2990]
2990,26 unequal: No Solution
Exploring Operation: 46+65=111, Resulting Numbers: [111]
111,26 unequal: No Solution
Moving to Node #0,2,1
Current State: 26:[29, 82], Operations: ['46-17=29', '98-16=82']
Exploring Operation: 29+82=111, Resulting Numbers: [111]
111,26 unequal: No Solution
Exploring Operation: 29*82=2378, Resulting Numbers: [2378]
2378,26 unequal: No Solution
Exploring Operation: 82-29=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[81, 30], Operations: ['98-17=81', '46-16=30']
Exploring Operation: 81+30=111, Resulting Numbers: [111]
111,26 unequal: No Solution
Exploring Operation: 81-30=51, Resulting Numbers: [51]
51,26 unequal: No Solution
Exploring Operation: 81*30=2430, Resulting Numbers: [2430]
2430,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[98, 13], Operations: ['46-17=29', '29-16=13']
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,26 unequal: No Solution
Exploring Operation: 98+13=111, Resulting Numbers: [111]
111,26 unequal: No Solution
Exploring Operation: 98*13=1274, Resulting Numbers: [1274]
1274,26 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
64,
11,
19,
49
] | 15 | [
"64-11=53",
"19+49=68",
"68-53=15"
] | Current State: 15:[64, 11, 19, 49], Operations: []
Exploring Operation: 64-11=53, Resulting Numbers: [19, 49, 53]
Generated Node #2: [19, 49, 53] from Operation: 64-11=53
Current State: 15:[19, 49, 53], Operations: ['64-11=53']
Exploring Operation: 19+49=68, Resulting Numbers: [53, 68]
Generated Node #3: [53, 68] from Operation: 19+49=68
Current State: 15:[53, 68], Operations: ['64-11=53', '19+49=68']
Exploring Operation: 68-53=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[64, 11, 19, 49], Operations: []
Exploring Operation: 64-19=45, Resulting Numbers: [11, 49, 45]
Generated Node #0,0: 15:[11, 49, 45] Operation: 64-19=45
Exploring Operation: 64-49=15, Resulting Numbers: [11, 19, 15]
Generated Node #0,1: 15:[11, 19, 15] Operation: 64-49=15
Moving to Node #0,1
Current State: 15:[11, 19, 15], Operations: ['64-49=15']
Exploring Operation: 19-11=8, Resulting Numbers: [15, 8]
Generated Node #0,1,0: 15:[15, 8] Operation: 19-11=8
Exploring Operation: 15-11=4, Resulting Numbers: [19, 4]
Generated Node #0,1,1: 15:[19, 4] Operation: 15-11=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[15, 8], Operations: ['64-49=15', '19-11=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 15+8=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 #0,1,1
Current State: 15:[19, 4], Operations: ['64-49=15', '15-11=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[64, 11, 19, 49], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [11, 19, 15]
Generated Node #0,1: 15:[11, 19, 15] Operation: 64-49=15
Moving to Node #0,1
Current State: 15:[11, 19, 15], Operations: ['64-49=15']
Exploring Operation: 15-11=4, Resulting Numbers: [19, 4]
Generated Node #0,1,1: 15:[19, 4] Operation: 15-11=4
Moving to Node #0,1,1
Current State: 15:[19, 4], Operations: ['64-49=15', '15-11=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
43,
22,
27,
26
] | 87 | [
"27-22=5",
"26*5=130",
"130-43=87"
] | Current State: 87:[43, 22, 27, 26], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [43, 26, 5]
Generated Node #2: [43, 26, 5] from Operation: 27-22=5
Current State: 87:[43, 26, 5], Operations: ['27-22=5']
Exploring Operation: 26*5=130, Resulting Numbers: [43, 130]
Generated Node #3: [43, 130] from Operation: 26*5=130
Current State: 87:[43, 130], Operations: ['27-22=5', '26*5=130']
Exploring Operation: 130-43=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[43, 22, 27, 26], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [43, 27, 4]
Generated Node #0,0: 87:[43, 27, 4] Operation: 26-22=4
Exploring Operation: 43-26=17, Resulting Numbers: [22, 27, 17]
Generated Node #0,1: 87:[22, 27, 17] Operation: 43-26=17
Exploring Operation: 27-22=5, Resulting Numbers: [43, 26, 5]
Generated Node #0,2: 87:[43, 26, 5] Operation: 27-22=5
Exploring Operation: 43-27=16, Resulting Numbers: [22, 26, 16]
Generated Node #0,3: 87:[22, 26, 16] Operation: 43-27=16
Exploring Operation: 43-22=21, Resulting Numbers: [27, 26, 21]
Generated Node #0,4: 87:[27, 26, 21] Operation: 43-22=21
Start Sub Search at level 1: Moving to Node #0,4
Current State: 87:[27, 26, 21], Operations: ['43-22=21']
Exploring Operation: 27+21=48, Resulting Numbers: [26, 48]
Generated Node #0,4,0: 87:[26, 48] Operation: 27+21=48
Exploring Operation: 27-26=1, Resulting Numbers: [21, 1]
Generated Node #0,4,1: 87:[21, 1] Operation: 27-26=1
Exploring Operation: 26-21=5, Resulting Numbers: [27, 5]
Generated Node #0,4,2: 87:[27, 5] Operation: 26-21=5
Exploring Operation: 26+21=47, Resulting Numbers: [27, 47]
Generated Node #0,4,3: 87:[27, 47] Operation: 26+21=47
Exploring Operation: 27-21=6, Resulting Numbers: [26, 6]
Generated Node #0,4,4: 87:[26, 6] Operation: 27-21=6
Moving to Node #0,4,2
Current State: 87:[27, 5], Operations: ['43-22=21', '26-21=5']
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,87 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Moving to Node #0,4,4
Current State: 87:[26, 6], Operations: ['43-22=21', '27-21=6']
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,87 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Moving to Node #0,4,1
Current State: 87:[21, 1], Operations: ['43-22=21', '27-26=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,87 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,87 unequal: No Solution
Moving to Node #0,4,3
Current State: 87:[27, 47], Operations: ['43-22=21', '26+21=47']
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 27*47=1269, Resulting Numbers: [1269]
1269,87 unequal: No Solution
Exploring Operation: 27+47=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Moving to Node #0,4,0
Current State: 87:[26, 48], Operations: ['43-22=21', '27+21=48']
Exploring Operation: 26+48=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 26*48=1248, Resulting Numbers: [1248]
1248,87 unequal: No Solution
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[43, 27, 4], Operations: ['26-22=4']
Exploring Operation: 43+4=47, Resulting Numbers: [27, 47]
Generated Node #0,0,0: 87:[27, 47] Operation: 43+4=47
Exploring Operation: 43+27=70, Resulting Numbers: [4, 70]
Generated Node #0,0,1: 87:[4, 70] Operation: 43+27=70
Exploring Operation: 43-4=39, Resulting Numbers: [27, 39]
Generated Node #0,0,2: 87:[27, 39] Operation: 43-4=39
Exploring Operation: 43-27=16, Resulting Numbers: [4, 16]
Generated Node #0,0,3: 87:[4, 16] Operation: 43-27=16
Exploring Operation: 27+4=31, Resulting Numbers: [43, 31]
Generated Node #0,0,4: 87:[43, 31] Operation: 27+4=31
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 87:[27, 39], Operations: ['26-22=4', '43-4=39']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,87 unequal: No Solution
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 87:[4, 16], Operations: ['26-22=4', '43-27=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 87:[43, 31], Operations: ['26-22=4', '27+4=31']
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 43*31=1333, Resulting Numbers: [1333]
1333,87 unequal: No Solution
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[4, 70], Operations: ['26-22=4', '43+27=70']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 4*70=280, Resulting Numbers: [280]
280,87 unequal: No Solution
No 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: 87:[27, 47], Operations: ['26-22=4', '43+4=47']
Exploring Operation: 27+47=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 27*47=1269, Resulting Numbers: [1269]
1269,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[43, 26, 5], Operations: ['27-22=5']
Exploring Operation: 43-26=17, Resulting Numbers: [5, 17]
Generated Node #0,2,0: 87:[5, 17] Operation: 43-26=17
Exploring Operation: 43-5=38, Resulting Numbers: [26, 38]
Generated Node #0,2,1: 87:[26, 38] Operation: 43-5=38
Exploring Operation: 43+26=69, Resulting Numbers: [5, 69]
Generated Node #0,2,2: 87:[5, 69] Operation: 43+26=69
Exploring Operation: 26+5=31, Resulting Numbers: [43, 31]
Generated Node #0,2,3: 87:[43, 31] Operation: 26+5=31
Exploring Operation: 43+5=48, Resulting Numbers: [26, 48]
Generated Node #0,2,4: 87:[26, 48] Operation: 43+5=48
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 87:[26, 38], Operations: ['27-22=5', '43-5=38']
Exploring Operation: 26+38=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 26*38=988, Resulting Numbers: [988]
988,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 87:[5, 17], Operations: ['27-22=5', '43-26=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,87 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 87:[43, 31], Operations: ['27-22=5', '26+5=31']
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 43*31=1333, Resulting Numbers: [1333]
1333,87 unequal: No Solution
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 87:[5, 69], Operations: ['27-22=5', '43+26=69']
Exploring Operation: 5+69=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 5*69=345, Resulting Numbers: [345]
345,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 87:[26, 48], Operations: ['27-22=5', '43+5=48']
Exploring Operation: 26+48=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 26*48=1248, Resulting Numbers: [1248]
1248,87 unequal: No Solution
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[22, 27, 17], Operations: ['43-26=17']
Exploring Operation: 27-22=5, Resulting Numbers: [17, 5]
Generated Node #0,1,0: 87:[17, 5] Operation: 27-22=5
Exploring Operation: 22+17=39, Resulting Numbers: [27, 39]
Generated Node #0,1,1: 87:[27, 39] Operation: 22+17=39
Exploring Operation: 27+17=44, Resulting Numbers: [22, 44]
Generated Node #0,1,2: 87:[22, 44] Operation: 27+17=44
Exploring Operation: 22-17=5, Resulting Numbers: [27, 5]
Generated Node #0,1,3: 87:[27, 5] Operation: 22-17=5
Exploring Operation: 27-17=10, Resulting Numbers: [22, 10]
Generated Node #0,1,4: 87:[22, 10] Operation: 27-17=10
Moving to Node #0,1,3
Current State: 87:[27, 5], Operations: ['43-26=17', '22-17=5']
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,87 unequal: No Solution
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[27, 39], Operations: ['43-26=17', '22+17=39']
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,87 unequal: No Solution
Moving to Node #0,1,0
Current State: 87:[17, 5], Operations: ['43-26=17', '27-22=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,87 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Moving to Node #0,1,4
Current State: 87:[22, 10], Operations: ['43-26=17', '27-17=10']
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[22, 44], Operations: ['43-26=17', '27+17=44']
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 22+44=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Exploring Operation: 22*44=968, Resulting Numbers: [968]
968,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 87:[22, 26, 16], Operations: ['43-27=16']
Exploring Operation: 22+16=38, Resulting Numbers: [26, 38]
Generated Node #0,3,0: 87:[26, 38] Operation: 22+16=38
Exploring Operation: 26-22=4, Resulting Numbers: [16, 4]
Generated Node #0,3,1: 87:[16, 4] Operation: 26-22=4
Exploring Operation: 26+16=42, Resulting Numbers: [22, 42]
Generated Node #0,3,2: 87:[22, 42] Operation: 26+16=42
Exploring Operation: 26-16=10, Resulting Numbers: [22, 10]
Generated Node #0,3,3: 87:[22, 10] Operation: 26-16=10
Exploring Operation: 22-16=6, Resulting Numbers: [26, 6]
Generated Node #0,3,4: 87:[26, 6] Operation: 22-16=6
Moving to Node #0,3,4
Current State: 87:[26, 6], Operations: ['43-27=16', '22-16=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,87 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Moving to Node #0,3,0
Current State: 87:[26, 38], Operations: ['43-27=16', '22+16=38']
Exploring Operation: 26+38=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 26*38=988, Resulting Numbers: [988]
988,87 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Moving to Node #0,3,1
Current State: 87:[16, 4], Operations: ['43-27=16', '26-22=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Moving to Node #0,3,3
Current State: 87:[22, 10], Operations: ['43-27=16', '26-16=10']
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,87 unequal: No Solution
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Moving to Node #0,3,2
Current State: 87:[22, 42], Operations: ['43-27=16', '26+16=42']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 22*42=924, Resulting Numbers: [924]
924,87 unequal: No Solution
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,87 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 |
[
96,
6,
75,
52
] | 42 | [
"75-52=23",
"6*23=138",
"138-96=42"
] | Current State: 42:[96, 6, 75, 52], Operations: []
Exploring Operation: 75-52=23, Resulting Numbers: [96, 6, 23]
Generated Node #2: [96, 6, 23] from Operation: 75-52=23
Current State: 42:[96, 6, 23], Operations: ['75-52=23']
Exploring Operation: 6*23=138, Resulting Numbers: [96, 138]
Generated Node #3: [96, 138] from Operation: 6*23=138
Current State: 42:[96, 138], Operations: ['75-52=23', '6*23=138']
Exploring Operation: 138-96=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[96, 6, 75, 52], Operations: []
Exploring Operation: 75-52=23, Resulting Numbers: [96, 6, 23]
Generated Node #0,0: 42:[96, 6, 23] Operation: 75-52=23
Exploring Operation: 96-75=21, Resulting Numbers: [6, 52, 21]
Generated Node #0,1: 42:[6, 52, 21] Operation: 96-75=21
Exploring Operation: 96/6=16, Resulting Numbers: [75, 52, 16]
Generated Node #0,2: 42:[75, 52, 16] Operation: 96/6=16
Exploring Operation: 96-52=44, Resulting Numbers: [6, 75, 44]
Generated Node #0,3: 42:[6, 75, 44] Operation: 96-52=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[6, 52, 21], Operations: ['96-75=21']
Exploring Operation: 52-21=31, Resulting Numbers: [6, 31]
Generated Node #0,1,0: 42:[6, 31] Operation: 52-21=31
Exploring Operation: 21-6=15, Resulting Numbers: [52, 15]
Generated Node #0,1,1: 42:[52, 15] Operation: 21-6=15
Exploring Operation: 52-6=46, Resulting Numbers: [21, 46]
Generated Node #0,1,2: 42:[21, 46] Operation: 52-6=46
Exploring Operation: 6+52=58, Resulting Numbers: [21, 58]
Generated Node #0,1,3: 42:[21, 58] Operation: 6+52=58
Moving to Node #0,1,2
Current State: 42:[21, 46], Operations: ['96-75=21', '52-6=46']
Exploring Operation: 21+46=67, Resulting Numbers: [67]
67,42 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 21*46=966, Resulting Numbers: [966]
966,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[6, 31], Operations: ['96-75=21', '52-21=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[52, 15], Operations: ['96-75=21', '21-6=15']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 52*15=780, Resulting Numbers: [780]
780,42 unequal: No Solution
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,42 unequal: No Solution
Moving to Node #0,1,3
Current State: 42:[21, 58], Operations: ['96-75=21', '6+52=58']
Exploring Operation: 21*58=1218, Resulting Numbers: [1218]
1218,42 unequal: No Solution
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,42 unequal: No Solution
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 42:[6, 75, 44], Operations: ['96-52=44']
Exploring Operation: 75-6=69, Resulting Numbers: [44, 69]
Generated Node #0,3,0: 42:[44, 69] Operation: 75-6=69
Exploring Operation: 75-44=31, Resulting Numbers: [6, 31]
Generated Node #0,3,1: 42:[6, 31] Operation: 75-44=31
Exploring Operation: 6+75=81, Resulting Numbers: [44, 81]
Generated Node #0,3,2: 42:[44, 81] Operation: 6+75=81
Exploring Operation: 44-6=38, Resulting Numbers: [75, 38]
Generated Node #0,3,3: 42:[75, 38] Operation: 44-6=38
Moving to Node #0,3,1
Current State: 42:[6, 31], Operations: ['96-52=44', '75-44=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,42 unequal: No Solution
Moving to Node #0,3,0
Current State: 42:[44, 69], Operations: ['96-52=44', '75-6=69']
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 44*69=3036, Resulting Numbers: [3036]
3036,42 unequal: No Solution
Exploring Operation: 44+69=113, Resulting Numbers: [113]
113,42 unequal: No Solution
Moving to Node #0,3,3
Current State: 42:[75, 38], Operations: ['96-52=44', '44-6=38']
Exploring Operation: 75+38=113, Resulting Numbers: [113]
113,42 unequal: No Solution
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 75*38=2850, Resulting Numbers: [2850]
2850,42 unequal: No Solution
Moving to Node #0,3,2
Current State: 42:[44, 81], Operations: ['96-52=44', '6+75=81']
Exploring Operation: 44+81=125, Resulting Numbers: [125]
125,42 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 44*81=3564, Resulting Numbers: [3564]
3564,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[75, 52, 16], Operations: ['96/6=16']
Exploring Operation: 52-16=36, Resulting Numbers: [75, 36]
Generated Node #0,2,0: 42:[75, 36] Operation: 52-16=36
Exploring Operation: 75-52=23, Resulting Numbers: [16, 23]
Generated Node #0,2,1: 42:[16, 23] Operation: 75-52=23
Exploring Operation: 75+16=91, Resulting Numbers: [52, 91]
Generated Node #0,2,2: 42:[52, 91] Operation: 75+16=91
Exploring Operation: 75-16=59, Resulting Numbers: [52, 59]
Generated Node #0,2,3: 42:[52, 59] Operation: 75-16=59
Moving to Node #0,2,1
Current State: 42:[16, 23], Operations: ['96/6=16', '75-52=23']
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Exploring Operation: 16*23=368, Resulting Numbers: [368]
368,42 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Moving to Node #0,2,3
Current State: 42:[52, 59], Operations: ['96/6=16', '75-16=59']
Exploring Operation: 52+59=111, Resulting Numbers: [111]
111,42 unequal: No Solution
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 52*59=3068, Resulting Numbers: [3068]
3068,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[75, 36], Operations: ['96/6=16', '52-16=36']
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,42 unequal: No Solution
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,42 unequal: No Solution
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[52, 91], Operations: ['96/6=16', '75+16=91']
Exploring Operation: 52+91=143, Resulting Numbers: [143]
143,42 unequal: No Solution
Exploring Operation: 91-52=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Exploring Operation: 52*91=4732, Resulting Numbers: [4732]
4732,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[96, 6, 23], Operations: ['75-52=23']
Exploring Operation: 96/6=16, Resulting Numbers: [23, 16]
Generated Node #0,0,0: 42:[23, 16] Operation: 96/6=16
Exploring Operation: 96-23=73, Resulting Numbers: [6, 73]
Generated Node #0,0,1: 42:[6, 73] Operation: 96-23=73
Exploring Operation: 23-6=17, Resulting Numbers: [96, 17]
Generated Node #0,0,2: 42:[96, 17] Operation: 23-6=17
Exploring Operation: 96-6=90, Resulting Numbers: [23, 90]
Generated Node #0,0,3: 42:[23, 90] Operation: 96-6=90
Moving to Node #0,0,0
Current State: 42:[23, 16], Operations: ['75-52=23', '96/6=16']
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[6, 73], Operations: ['75-52=23', '96-23=73']
Exploring Operation: 6*73=438, Resulting Numbers: [438]
438,42 unequal: No Solution
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,42 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,42 unequal: No Solution
Moving to Node #0,0,3
Current State: 42:[23, 90], Operations: ['75-52=23', '96-6=90']
Exploring Operation: 23*90=2070, Resulting Numbers: [2070]
2070,42 unequal: No Solution
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,42 unequal: No Solution
Exploring Operation: 23+90=113, Resulting Numbers: [113]
113,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[96, 17], Operations: ['75-52=23', '23-6=17']
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,42 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,42 unequal: No Solution
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,42 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 |
[
70,
13,
91,
80
] | 91 | [
"13+91=104",
"70*104=7280",
"7280/80=91"
] | Current State: 91:[70, 13, 91, 80], Operations: []
Exploring Operation: 13+91=104, Resulting Numbers: [70, 80, 104]
Generated Node #2: [70, 80, 104] from Operation: 13+91=104
Current State: 91:[70, 80, 104], Operations: ['13+91=104']
Exploring Operation: 70*104=7280, Resulting Numbers: [80, 7280]
Generated Node #3: [80, 7280] from Operation: 70*104=7280
Current State: 91:[80, 7280], Operations: ['13+91=104', '70*104=7280']
Exploring Operation: 7280/80=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[70, 13, 91, 80], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [13, 91, 10]
Generated Node #0,0: 91:[13, 91, 10] Operation: 80-70=10
Exploring Operation: 70+13=83, Resulting Numbers: [91, 80, 83]
Generated Node #0,1: 91:[91, 80, 83] Operation: 70+13=83
Exploring Operation: 91-70=21, Resulting Numbers: [13, 80, 21]
Generated Node #0,2: 91:[13, 80, 21] Operation: 91-70=21
Exploring Operation: 91-80=11, Resulting Numbers: [70, 13, 11]
Generated Node #0,3: 91:[70, 13, 11] Operation: 91-80=11
Exploring Operation: 13+80=93, Resulting Numbers: [70, 91, 93]
Generated Node #0,4: 91:[70, 91, 93] Operation: 13+80=93
Moving to Node #0,0
Current State: 91:[13, 91, 10], Operations: ['80-70=10']
Exploring Operation: 91+10=101, Resulting Numbers: [13, 101]
Generated Node #0,0,0: 91:[13, 101] Operation: 91+10=101
Exploring Operation: 13-10=3, Resulting Numbers: [91, 3]
Generated Node #0,0,1: 91:[91, 3] Operation: 13-10=3
Exploring Operation: 91-10=81, Resulting Numbers: [13, 81]
Generated Node #0,0,2: 91:[13, 81] Operation: 91-10=81
Exploring Operation: 91/13=7, Resulting Numbers: [10, 7]
Generated Node #0,0,3: 91:[10, 7] Operation: 91/13=7
Exploring Operation: 13+10=23, Resulting Numbers: [91, 23]
Generated Node #0,0,4: 91:[91, 23] Operation: 13+10=23
Moving to Node #0,2
Current State: 91:[13, 80, 21], Operations: ['91-70=21']
Exploring Operation: 13+80=93, Resulting Numbers: [21, 93]
Generated Node #0,2,0: 91:[21, 93] Operation: 13+80=93
Exploring Operation: 80-13=67, Resulting Numbers: [21, 67]
Generated Node #0,2,1: 91:[21, 67] Operation: 80-13=67
Exploring Operation: 13+21=34, Resulting Numbers: [80, 34]
Generated Node #0,2,2: 91:[80, 34] Operation: 13+21=34
Exploring Operation: 80+21=101, Resulting Numbers: [13, 101]
Generated Node #0,2,3: 91:[13, 101] Operation: 80+21=101
Exploring Operation: 21-13=8, Resulting Numbers: [80, 8]
Generated Node #0,2,4: 91:[80, 8] Operation: 21-13=8
Moving to Node #0,1
Current State: 91:[91, 80, 83], Operations: ['70+13=83']
Exploring Operation: 91+80=171, Resulting Numbers: [83, 171]
Generated Node #0,1,0: 91:[83, 171] Operation: 91+80=171
Exploring Operation: 91-83=8, Resulting Numbers: [80, 8]
Generated Node #0,1,1: 91:[80, 8] Operation: 91-83=8
Exploring Operation: 83-80=3, Resulting Numbers: [91, 3]
Generated Node #0,1,2: 91:[91, 3] Operation: 83-80=3
Exploring Operation: 91-80=11, Resulting Numbers: [83, 11]
Generated Node #0,1,3: 91:[83, 11] Operation: 91-80=11
Exploring Operation: 80+83=163, Resulting Numbers: [91, 163]
Generated Node #0,1,4: 91:[91, 163] Operation: 80+83=163
Moving to Node #0,3
Current State: 91:[70, 13, 11], Operations: ['91-80=11']
Exploring Operation: 13-11=2, Resulting Numbers: [70, 2]
Generated Node #0,3,0: 91:[70, 2] Operation: 13-11=2
Exploring Operation: 70-11=59, Resulting Numbers: [13, 59]
Generated Node #0,3,1: 91:[13, 59] Operation: 70-11=59
Exploring Operation: 70+13=83, Resulting Numbers: [11, 83]
Generated Node #0,3,2: 91:[11, 83] Operation: 70+13=83
Exploring Operation: 70+11=81, Resulting Numbers: [13, 81]
Generated Node #0,3,3: 91:[13, 81] Operation: 70+11=81
Exploring Operation: 13+11=24, Resulting Numbers: [70, 24]
Generated Node #0,3,4: 91:[70, 24] Operation: 13+11=24
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 91:[11, 83], Operations: ['91-80=11', '70+13=83']
Exploring Operation: 11*83=913, Resulting Numbers: [913]
913,91 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 11+83=94, Resulting Numbers: [94]
94,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 91:[13, 81], Operations: ['91-80=11', '70+11=81']
Exploring Operation: 13+81=94, Resulting Numbers: [94]
94,91 unequal: No Solution
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Exploring Operation: 13*81=1053, Resulting Numbers: [1053]
1053,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 91:[70, 2], Operations: ['91-80=11', '13-11=2']
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,91 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 91:[13, 59], Operations: ['91-80=11', '70-11=59']
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,91 unequal: No Solution
Exploring Operation: 13+59=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 13*59=767, Resulting Numbers: [767]
767,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 91:[70, 24], Operations: ['91-80=11', '13+11=24']
Exploring Operation: 70*24=1680, Resulting Numbers: [1680]
1680,91 unequal: No Solution
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,91 unequal: No Solution
Exploring Operation: 70+24=94, Resulting Numbers: [94]
94,91 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: 91:[70, 91, 93], Operations: ['13+80=93']
Exploring Operation: 91-70=21, Resulting Numbers: [93, 21]
Generated Node #0,4,0: 91:[93, 21] Operation: 91-70=21
Exploring Operation: 93-91=2, Resulting Numbers: [70, 2]
Generated Node #0,4,1: 91:[70, 2] Operation: 93-91=2
Exploring Operation: 70+91=161, Resulting Numbers: [93, 161]
Generated Node #0,4,2: 91:[93, 161] Operation: 70+91=161
Exploring Operation: 93-70=23, Resulting Numbers: [91, 23]
Generated Node #0,4,3: 91:[91, 23] Operation: 93-70=23
Exploring Operation: 70+93=163, Resulting Numbers: [91, 163]
Generated Node #0,4,4: 91:[91, 163] Operation: 70+93=163
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 91:[93, 21], Operations: ['13+80=93', '91-70=21']
Exploring Operation: 93+21=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 93*21=1953, Resulting Numbers: [1953]
1953,91 unequal: No Solution
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 91:[91, 23], Operations: ['13+80=93', '93-70=23']
Exploring Operation: 91+23=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 91*23=2093, Resulting Numbers: [2093]
2093,91 unequal: No Solution
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 91:[70, 2], Operations: ['13+80=93', '93-91=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 91:[93, 161], Operations: ['13+80=93', '70+91=161']
Exploring Operation: 93+161=254, Resulting Numbers: [254]
254,91 unequal: No Solution
Exploring Operation: 93*161=14973, Resulting Numbers: [14973]
14973,91 unequal: No Solution
Exploring Operation: 161-93=68, Resulting Numbers: [68]
68,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 91:[91, 163], Operations: ['13+80=93', '70+93=163']
Exploring Operation: 91+163=254, Resulting Numbers: [254]
254,91 unequal: No Solution
Exploring Operation: 163-91=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 91*163=14833, Resulting Numbers: [14833]
14833,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 91:[10, 7], Operations: ['80-70=10', '91/13=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[91, 3], Operations: ['80-70=10', '13-10=3']
Exploring Operation: 91*3=273, Resulting Numbers: [273]
273,91 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[91, 3], Operations: ['70+13=83', '83-80=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,91 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 91*3=273, Resulting Numbers: [273]
273,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[13, 101], Operations: ['80-70=10', '91+10=101']
Exploring Operation: 13+101=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 101-13=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 13*101=1313, Resulting Numbers: [1313]
1313,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[13, 101], Operations: ['91-70=21', '80+21=101']
Exploring Operation: 13+101=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 13*101=1313, Resulting Numbers: [1313]
1313,91 unequal: No Solution
Exploring Operation: 101-13=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[21, 93], Operations: ['91-70=21', '13+80=93']
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 21*93=1953, Resulting Numbers: [1953]
1953,91 unequal: No Solution
Exploring Operation: 21+93=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[83, 11], Operations: ['70+13=83', '91-80=11']
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,91 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,91 unequal: No Solution
Moving to Node #0,0,4
Current State: 91:[91, 23], Operations: ['80-70=10', '13+10=23']
Exploring Operation: 91+23=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 91*23=2093, Resulting Numbers: [2093]
2093,91 unequal: No Solution
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[13, 81], Operations: ['80-70=10', '91-10=81']
Exploring Operation: 13+81=94, Resulting Numbers: [94]
94,91 unequal: No Solution
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Exploring Operation: 13*81=1053, Resulting Numbers: [1053]
1053,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[80, 8], Operations: ['70+13=83', '91-83=8']
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 80*8=640, Resulting Numbers: [640]
640,91 unequal: No Solution
Moving to Node #0,2,4
Current State: 91:[80, 8], Operations: ['91-70=21', '21-13=8']
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 80*8=640, Resulting Numbers: [640]
640,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[80, 34], Operations: ['91-70=21', '13+21=34']
Exploring Operation: 80*34=2720, Resulting Numbers: [2720]
2720,91 unequal: No Solution
Exploring Operation: 80+34=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[21, 67], Operations: ['91-70=21', '80-13=67']
Exploring Operation: 21+67=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,91 unequal: No Solution
Exploring Operation: 21*67=1407, Resulting Numbers: [1407]
1407,91 unequal: No Solution
Moving to Node #0,1,4
Current State: 91:[91, 163], Operations: ['70+13=83', '80+83=163']
Exploring Operation: 91+163=254, Resulting Numbers: [254]
254,91 unequal: No Solution
Exploring Operation: 163-91=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 91*163=14833, Resulting Numbers: [14833]
14833,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[83, 171], Operations: ['70+13=83', '91+80=171']
Exploring Operation: 83*171=14193, Resulting Numbers: [14193]
14193,91 unequal: No Solution
Exploring Operation: 171-83=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 83+171=254, Resulting Numbers: [254]
254,91 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
32,
70,
58,
33
] | 37 | [
"70+58=128",
"128/32=4",
"33+4=37"
] | Current State: 37:[32, 70, 58, 33], Operations: []
Exploring Operation: 70+58=128, Resulting Numbers: [32, 33, 128]
Generated Node #2: [32, 33, 128] from Operation: 70+58=128
Current State: 37:[32, 33, 128], Operations: ['70+58=128']
Exploring Operation: 128/32=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 128/32=4
Current State: 37:[33, 4], Operations: ['70+58=128', '128/32=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[32, 70, 58, 33], Operations: []
Exploring Operation: 70-32=38, Resulting Numbers: [58, 33, 38]
Generated Node #0,0: 37:[58, 33, 38] Operation: 70-32=38
Moving to Node #0,0
Current State: 37:[58, 33, 38], Operations: ['70-32=38']
Exploring Operation: 58-33=25, Resulting Numbers: [38, 25]
Generated Node #0,0,0: 37:[38, 25] Operation: 58-33=25
Moving to Node #0,0,0
Current State: 37:[38, 25], Operations: ['70-32=38', '58-33=25']
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,37 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
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