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 |
|---|---|---|---|---|---|---|---|---|
[
8,
4,
17,
31
] | 37 | [
"8-4=4",
"17*4=68",
"68-31=37"
] | Current State: 37:[8, 4, 17, 31], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [17, 31, 4]
Generated Node #2: [17, 31, 4] from Operation: 8-4=4
Current State: 37:[17, 31, 4], Operations: ['8-4=4']
Exploring Operation: 17*4=68, Resulting Numbers: [31, 68]
Generated Node #3: [31, 68] from Operation: 17*4=68
Current State: 37:[31, 68], Operations: ['8-4=4', '17*4=68']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[8, 4, 17, 31], Operations: []
Exploring Operation: 8+4=12, Resulting Numbers: [17, 31, 12]
Generated Node #0,0: 37:[17, 31, 12] Operation: 8+4=12
Exploring Operation: 8*4=32, Resulting Numbers: [17, 31, 32]
Generated Node #0,1: 37:[17, 31, 32] Operation: 8*4=32
Moving to Node #0,1
Current State: 37:[17, 31, 32], Operations: ['8*4=32']
Exploring Operation: 17+32=49, Resulting Numbers: [31, 49]
Generated Node #0,1,0: 37:[31, 49] Operation: 17+32=49
Exploring Operation: 17+31=48, Resulting Numbers: [32, 48]
Generated Node #0,1,1: 37:[32, 48] Operation: 17+31=48
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[32, 48], Operations: ['8*4=32', '17+31=48']
Exploring Operation: 32+48=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 48-32=16, Resulting Numbers: [16]
16,37 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 #0,1,0
Current State: 37:[31, 49], Operations: ['8*4=32', '17+32=49']
Exploring Operation: 31+49=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 37:[17, 31, 12], Operations: ['8+4=12']
Exploring Operation: 31+12=43, Resulting Numbers: [17, 43]
Generated Node #0,0,0: 37:[17, 43] Operation: 31+12=43
Exploring Operation: 17+12=29, Resulting Numbers: [31, 29]
Generated Node #0,0,1: 37:[31, 29] Operation: 17+12=29
Moving to Node #0,0,1
Current State: 37:[31, 29], Operations: ['8+4=12', '17+12=29']
Exploring Operation: 31+29=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[17, 43], Operations: ['8+4=12', '31+12=43']
Exploring Operation: 17+43=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,37 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
18,
67,
27,
38
] | 38 | [
"67-18=49",
"38-27=11",
"49-11=38"
] | Current State: 38:[18, 67, 27, 38], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [27, 38, 49]
Generated Node #2: [27, 38, 49] from Operation: 67-18=49
Current State: 38:[27, 38, 49], Operations: ['67-18=49']
Exploring Operation: 38-27=11, Resulting Numbers: [49, 11]
Generated Node #3: [49, 11] from Operation: 38-27=11
Current State: 38:[49, 11], Operations: ['67-18=49', '38-27=11']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[18, 67, 27, 38], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [27, 38, 49]
Generated Node #0,0: 38:[27, 38, 49] Operation: 67-18=49
Exploring Operation: 67-38=29, Resulting Numbers: [18, 27, 29]
Generated Node #0,1: 38:[18, 27, 29] Operation: 67-38=29
Exploring Operation: 27-18=9, Resulting Numbers: [67, 38, 9]
Generated Node #0,2: 38:[67, 38, 9] Operation: 27-18=9
Exploring Operation: 18+27=45, Resulting Numbers: [67, 38, 45]
Generated Node #0,3: 38:[67, 38, 45] Operation: 18+27=45
Exploring Operation: 67-27=40, Resulting Numbers: [18, 38, 40]
Generated Node #0,4: 38:[18, 38, 40] Operation: 67-27=40
Start Sub Search at level 1: Moving to Node #0,4
Current State: 38:[18, 38, 40], Operations: ['67-27=40']
Exploring Operation: 40-18=22, Resulting Numbers: [38, 22]
Generated Node #0,4,0: 38:[38, 22] Operation: 40-18=22
Exploring Operation: 18+40=58, Resulting Numbers: [38, 58]
Generated Node #0,4,1: 38:[38, 58] Operation: 18+40=58
Exploring Operation: 38-18=20, Resulting Numbers: [40, 20]
Generated Node #0,4,2: 38:[40, 20] Operation: 38-18=20
Exploring Operation: 40-38=2, Resulting Numbers: [18, 2]
Generated Node #0,4,3: 38:[18, 2] Operation: 40-38=2
Exploring Operation: 18+38=56, Resulting Numbers: [40, 56]
Generated Node #0,4,4: 38:[40, 56] Operation: 18+38=56
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 38:[18, 2], Operations: ['67-27=40', '40-38=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,38 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 38:[38, 22], Operations: ['67-27=40', '40-18=22']
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,38 unequal: No Solution
Exploring Operation: 38*22=836, Resulting Numbers: [836]
836,38 unequal: No Solution
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 38:[40, 20], Operations: ['67-27=40', '38-18=20']
Exploring Operation: 40*20=800, Resulting Numbers: [800]
800,38 unequal: No Solution
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 40+20=60, Resulting Numbers: [60]
60,38 unequal: No Solution
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 38:[38, 58], Operations: ['67-27=40', '18+40=58']
Exploring Operation: 38*58=2204, Resulting Numbers: [2204]
2204,38 unequal: No Solution
Exploring Operation: 38+58=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 38:[40, 56], Operations: ['67-27=40', '18+38=56']
Exploring Operation: 40+56=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 40*56=2240, Resulting Numbers: [2240]
2240,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[18, 27, 29], Operations: ['67-38=29']
Exploring Operation: 27-18=9, Resulting Numbers: [29, 9]
Generated Node #0,1,0: 38:[29, 9] Operation: 27-18=9
Exploring Operation: 18+27=45, Resulting Numbers: [29, 45]
Generated Node #0,1,1: 38:[29, 45] Operation: 18+27=45
Exploring Operation: 18+29=47, Resulting Numbers: [27, 47]
Generated Node #0,1,2: 38:[27, 47] Operation: 18+29=47
Exploring Operation: 29-27=2, Resulting Numbers: [18, 2]
Generated Node #0,1,3: 38:[18, 2] Operation: 29-27=2
Exploring Operation: 29-18=11, Resulting Numbers: [27, 11]
Generated Node #0,1,4: 38:[27, 11] Operation: 29-18=11
Moving to Node #0,1,3
Current State: 38:[18, 2], Operations: ['67-38=29', '29-27=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,38 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[29, 45], Operations: ['67-38=29', '18+27=45']
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 29*45=1305, Resulting Numbers: [1305]
1305,38 unequal: No Solution
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[29, 9], Operations: ['67-38=29', '27-18=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[18, 67, 27, 38], Operations: []
Exploring Operation: 67-38=29, Resulting Numbers: [18, 27, 29]
Generated Node #0,1: 38:[18, 27, 29] Operation: 67-38=29
Moving to Node #0,1
Current State: 38:[18, 27, 29], Operations: ['67-38=29']
Exploring Operation: 27-18=9, Resulting Numbers: [29, 9]
Generated Node #0,1,0: 38:[29, 9] Operation: 27-18=9
Moving to Node #0,1,0
Current State: 38:[29, 9], Operations: ['67-38=29', '27-18=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.961806 | hs_5 | sum_heuristic |
[
51,
56,
23,
17
] | 19 | [
"51-23=28",
"56/28=2",
"17+2=19"
] | Current State: 19:[51, 56, 23, 17], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [56, 17, 28]
Generated Node #2: [56, 17, 28] from Operation: 51-23=28
Current State: 19:[56, 17, 28], Operations: ['51-23=28']
Exploring Operation: 56/28=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 56/28=2
Current State: 19:[17, 2], Operations: ['51-23=28', '56/28=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[51, 56, 23, 17], Operations: []
Exploring Operation: 51-17=34, Resulting Numbers: [56, 23, 34]
Generated Node #0,0: 19:[56, 23, 34] Operation: 51-17=34
Exploring Operation: 56-51=5, Resulting Numbers: [23, 17, 5]
Generated Node #0,1: 19:[23, 17, 5] Operation: 56-51=5
Exploring Operation: 56-23=33, Resulting Numbers: [51, 17, 33]
Generated Node #0,2: 19:[51, 17, 33] Operation: 56-23=33
Exploring Operation: 51-23=28, Resulting Numbers: [56, 17, 28]
Generated Node #0,3: 19:[56, 17, 28] Operation: 51-23=28
Exploring Operation: 56-17=39, Resulting Numbers: [51, 23, 39]
Generated Node #0,4: 19:[51, 23, 39] Operation: 56-17=39
Moving to Node #0,1
Current State: 19:[23, 17, 5], Operations: ['56-51=5']
Exploring Operation: 23-17=6, Resulting Numbers: [5, 6]
Generated Node #0,1,0: 19:[5, 6] Operation: 23-17=6
Exploring Operation: 23+5=28, Resulting Numbers: [17, 28]
Generated Node #0,1,1: 19:[17, 28] Operation: 23+5=28
Exploring Operation: 17-5=12, Resulting Numbers: [23, 12]
Generated Node #0,1,2: 19:[23, 12] Operation: 17-5=12
Exploring Operation: 17+5=22, Resulting Numbers: [23, 22]
Generated Node #0,1,3: 19:[23, 22] Operation: 17+5=22
Exploring Operation: 23-5=18, Resulting Numbers: [17, 18]
Generated Node #0,1,4: 19:[17, 18] Operation: 23-5=18
Moving to Node #0,3
Current State: 19:[56, 17, 28], Operations: ['51-23=28']
Exploring Operation: 56/28=2, Resulting Numbers: [17, 2]
Generated Node #0,3,0: 19:[17, 2] Operation: 56/28=2
Exploring Operation: 56-17=39, Resulting Numbers: [28, 39]
Generated Node #0,3,1: 19:[28, 39] Operation: 56-17=39
Exploring Operation: 28-17=11, Resulting Numbers: [56, 11]
Generated Node #0,3,2: 19:[56, 11] Operation: 28-17=11
Exploring Operation: 56-28=28, Resulting Numbers: [17, 28]
Generated Node #0,3,3: 19:[17, 28] Operation: 56-28=28
Exploring Operation: 56+17=73, Resulting Numbers: [28, 73]
Generated Node #0,3,4: 19:[28, 73] Operation: 56+17=73
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 19:[17, 28], Operations: ['51-23=28', '56-28=28']
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,19 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 19:[17, 2], Operations: ['51-23=28', '56/28=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[51, 56, 23, 17], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [56, 17, 28]
Generated Node #0,3: 19:[56, 17, 28] Operation: 51-23=28
Moving to Node #0,3
Current State: 19:[56, 17, 28], Operations: ['51-23=28']
Exploring Operation: 56/28=2, Resulting Numbers: [17, 2]
Generated Node #0,3,0: 19:[17, 2] Operation: 56/28=2
Moving to Node #0,3,0
Current State: 19:[17, 2], Operations: ['51-23=28', '56/28=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
21,
69,
6,
45
] | 40 | [
"69+45=114",
"114/6=19",
"21+19=40"
] | Current State: 40:[21, 69, 6, 45], Operations: []
Exploring Operation: 69+45=114, Resulting Numbers: [21, 6, 114]
Generated Node #2: [21, 6, 114] from Operation: 69+45=114
Current State: 40:[21, 6, 114], Operations: ['69+45=114']
Exploring Operation: 114/6=19, Resulting Numbers: [21, 19]
Generated Node #3: [21, 19] from Operation: 114/6=19
Current State: 40:[21, 19], Operations: ['69+45=114', '114/6=19']
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[21, 69, 6, 45], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [21, 6, 24]
Generated Node #0,0: 40:[21, 6, 24] Operation: 69-45=24
Exploring Operation: 69-21=48, Resulting Numbers: [6, 45, 48]
Generated Node #0,1: 40:[6, 45, 48] Operation: 69-21=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[21, 6, 24], Operations: ['69-45=24']
Exploring Operation: 24-21=3, Resulting Numbers: [6, 3]
Generated Node #0,0,0: 40:[6, 3] Operation: 24-21=3
Exploring Operation: 24/6=4, Resulting Numbers: [21, 4]
Generated Node #0,0,1: 40:[21, 4] Operation: 24/6=4
Moving to Node #0,0,1
Current State: 40:[21, 4], Operations: ['69-45=24', '24/6=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,40 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[6, 3], Operations: ['69-45=24', '24-21=3']
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[6, 45, 48], Operations: ['69-21=48']
Exploring Operation: 48-45=3, Resulting Numbers: [6, 3]
Generated Node #0,1,0: 40:[6, 3] Operation: 48-45=3
Exploring Operation: 48/6=8, Resulting Numbers: [45, 8]
Generated Node #0,1,1: 40:[45, 8] Operation: 48/6=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[6, 3], Operations: ['69-21=48', '48-45=3']
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,40 unequal: No Solution
No 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: 40:[45, 8], Operations: ['69-21=48', '48/6=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
68,
73,
28,
11
] | 22 | [
"73-68=5",
"28-11=17",
"5+17=22"
] | Current State: 22:[68, 73, 28, 11], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [28, 11, 5]
Generated Node #2: [28, 11, 5] from Operation: 73-68=5
Current State: 22:[28, 11, 5], Operations: ['73-68=5']
Exploring Operation: 28-11=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 28-11=17
Current State: 22:[5, 17], Operations: ['73-68=5', '28-11=17']
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[68, 73, 28, 11], Operations: []
Exploring Operation: 73-28=45, Resulting Numbers: [68, 11, 45]
Generated Node #0,0: 22:[68, 11, 45] Operation: 73-28=45
Exploring Operation: 73-68=5, Resulting Numbers: [28, 11, 5]
Generated Node #0,1: 22:[28, 11, 5] Operation: 73-68=5
Exploring Operation: 68-11=57, Resulting Numbers: [73, 28, 57]
Generated Node #0,2: 22:[73, 28, 57] Operation: 68-11=57
Exploring Operation: 73-11=62, Resulting Numbers: [68, 28, 62]
Generated Node #0,3: 22:[68, 28, 62] Operation: 73-11=62
Exploring Operation: 68-28=40, Resulting Numbers: [73, 11, 40]
Generated Node #0,4: 22:[73, 11, 40] Operation: 68-28=40
Moving to Node #0,1
Current State: 22:[28, 11, 5], Operations: ['73-68=5']
Exploring Operation: 28-11=17, Resulting Numbers: [5, 17]
Generated Node #0,1,0: 22:[5, 17] Operation: 28-11=17
Exploring Operation: 28+5=33, Resulting Numbers: [11, 33]
Generated Node #0,1,1: 22:[11, 33] Operation: 28+5=33
Exploring Operation: 11-5=6, Resulting Numbers: [28, 6]
Generated Node #0,1,2: 22:[28, 6] Operation: 11-5=6
Exploring Operation: 11+5=16, Resulting Numbers: [28, 16]
Generated Node #0,1,3: 22:[28, 16] Operation: 11+5=16
Exploring Operation: 28-5=23, Resulting Numbers: [11, 23]
Generated Node #0,1,4: 22:[11, 23] Operation: 28-5=23
Moving to Node #0,4
Current State: 22:[73, 11, 40], Operations: ['68-28=40']
Exploring Operation: 73+11=84, Resulting Numbers: [40, 84]
Generated Node #0,4,0: 22:[40, 84] Operation: 73+11=84
Exploring Operation: 73-40=33, Resulting Numbers: [11, 33]
Generated Node #0,4,1: 22:[11, 33] Operation: 73-40=33
Exploring Operation: 11+40=51, Resulting Numbers: [73, 51]
Generated Node #0,4,2: 22:[73, 51] Operation: 11+40=51
Exploring Operation: 73-11=62, Resulting Numbers: [40, 62]
Generated Node #0,4,3: 22:[40, 62] Operation: 73-11=62
Exploring Operation: 40-11=29, Resulting Numbers: [73, 29]
Generated Node #0,4,4: 22:[73, 29] Operation: 40-11=29
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 22:[11, 33], Operations: ['68-28=40', '73-40=33']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[68, 73, 28, 11], Operations: []
Exploring Operation: 68-28=40, Resulting Numbers: [73, 11, 40]
Generated Node #0,4: 22:[73, 11, 40] Operation: 68-28=40
Moving to Node #0,4
Current State: 22:[73, 11, 40], Operations: ['68-28=40']
Exploring Operation: 73-40=33, Resulting Numbers: [11, 33]
Generated Node #0,4,1: 22:[11, 33] Operation: 73-40=33
Moving to Node #0,4,1
Current State: 22:[11, 33], Operations: ['68-28=40', '73-40=33']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
22,
31,
8,
51
] | 96 | [
"22+31=53",
"51-8=43",
"53+43=96"
] | Current State: 96:[22, 31, 8, 51], Operations: []
Exploring Operation: 22+31=53, Resulting Numbers: [8, 51, 53]
Generated Node #2: [8, 51, 53] from Operation: 22+31=53
Current State: 96:[8, 51, 53], Operations: ['22+31=53']
Exploring Operation: 51-8=43, Resulting Numbers: [53, 43]
Generated Node #3: [53, 43] from Operation: 51-8=43
Current State: 96:[53, 43], Operations: ['22+31=53', '51-8=43']
Exploring Operation: 53+43=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[22, 31, 8, 51], Operations: []
Exploring Operation: 31-22=9, Resulting Numbers: [8, 51, 9]
Generated Node #0,0: 96:[8, 51, 9] Operation: 31-22=9
Exploring Operation: 22+8=30, Resulting Numbers: [31, 51, 30]
Generated Node #0,1: 96:[31, 51, 30] Operation: 22+8=30
Exploring Operation: 22-8=14, Resulting Numbers: [31, 51, 14]
Generated Node #0,2: 96:[31, 51, 14] Operation: 22-8=14
Exploring Operation: 51-22=29, Resulting Numbers: [31, 8, 29]
Generated Node #0,3: 96:[31, 8, 29] Operation: 51-22=29
Exploring Operation: 31-8=23, Resulting Numbers: [22, 51, 23]
Generated Node #0,4: 96:[22, 51, 23] Operation: 31-8=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[8, 51, 9], Operations: ['31-22=9']
Exploring Operation: 8+9=17, Resulting Numbers: [51, 17]
Generated Node #0,0,0: 96:[51, 17] Operation: 8+9=17
Exploring Operation: 51-9=42, Resulting Numbers: [8, 42]
Generated Node #0,0,1: 96:[8, 42] Operation: 51-9=42
Exploring Operation: 9-8=1, Resulting Numbers: [51, 1]
Generated Node #0,0,2: 96:[51, 1] Operation: 9-8=1
Exploring Operation: 51-8=43, Resulting Numbers: [9, 43]
Generated Node #0,0,3: 96:[9, 43] Operation: 51-8=43
Exploring Operation: 8+51=59, Resulting Numbers: [9, 59]
Generated Node #0,0,4: 96:[9, 59] Operation: 8+51=59
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[51, 17], Operations: ['31-22=9', '8+9=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 51*17=867, Resulting Numbers: [867]
867,96 unequal: No Solution
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 96:[51, 1], Operations: ['31-22=9', '9-8=1']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,96 unequal: No Solution
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Exploring Operation: 51+1=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[8, 42], Operations: ['31-22=9', '51-9=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,96 unequal: No Solution
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 96:[9, 43], Operations: ['31-22=9', '51-8=43']
Exploring Operation: 9+43=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 9*43=387, Resulting Numbers: [387]
387,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 96:[9, 59], Operations: ['31-22=9', '8+51=59']
Exploring Operation: 9+59=68, Resulting Numbers: [68]
68,96 unequal: No Solution
Exploring Operation: 9*59=531, Resulting Numbers: [531]
531,96 unequal: No Solution
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 96:[31, 8, 29], Operations: ['51-22=29']
Exploring Operation: 31+8=39, Resulting Numbers: [29, 39]
Generated Node #0,3,0: 96:[29, 39] Operation: 31+8=39
Exploring Operation: 29-8=21, Resulting Numbers: [31, 21]
Generated Node #0,3,1: 96:[31, 21] Operation: 29-8=21
Exploring Operation: 31-8=23, Resulting Numbers: [29, 23]
Generated Node #0,3,2: 96:[29, 23] Operation: 31-8=23
Exploring Operation: 31-29=2, Resulting Numbers: [8, 2]
Generated Node #0,3,3: 96:[8, 2] Operation: 31-29=2
Exploring Operation: 8+29=37, Resulting Numbers: [31, 37]
Generated Node #0,3,4: 96:[31, 37] Operation: 8+29=37
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 96:[8, 2], Operations: ['51-22=29', '31-29=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 96:[31, 21], Operations: ['51-22=29', '29-8=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 31*21=651, Resulting Numbers: [651]
651,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 96:[29, 23], Operations: ['51-22=29', '31-8=23']
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,96 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 96:[31, 37], Operations: ['51-22=29', '8+29=37']
Exploring Operation: 31*37=1147, Resulting Numbers: [1147]
1147,96 unequal: No Solution
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,96 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 96:[29, 39], Operations: ['51-22=29', '31+8=39']
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 29+39=68, Resulting Numbers: [68]
68,96 unequal: No Solution
Exploring Operation: 29*39=1131, Resulting Numbers: [1131]
1131,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[31, 51, 30], Operations: ['22+8=30']
Exploring Operation: 51-31=20, Resulting Numbers: [30, 20]
Generated Node #0,1,0: 96:[30, 20] Operation: 51-31=20
Exploring Operation: 31-30=1, Resulting Numbers: [51, 1]
Generated Node #0,1,1: 96:[51, 1] Operation: 31-30=1
Exploring Operation: 31+30=61, Resulting Numbers: [51, 61]
Generated Node #0,1,2: 96:[51, 61] Operation: 31+30=61
Exploring Operation: 51-30=21, Resulting Numbers: [31, 21]
Generated Node #0,1,3: 96:[31, 21] Operation: 51-30=21
Exploring Operation: 31+51=82, Resulting Numbers: [30, 82]
Generated Node #0,1,4: 96:[30, 82] Operation: 31+51=82
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[51, 1], Operations: ['22+8=30', '31-30=1']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Exploring Operation: 51+1=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 96:[31, 21], Operations: ['22+8=30', '51-30=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 31*21=651, Resulting Numbers: [651]
651,96 unequal: No Solution
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[30, 20], Operations: ['22+8=30', '51-31=20']
Exploring Operation: 30+20=50, Resulting Numbers: [50]
50,96 unequal: No Solution
Exploring Operation: 30*20=600, Resulting Numbers: [600]
600,96 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[51, 61], Operations: ['22+8=30', '31+30=61']
Exploring Operation: 51+61=112, Resulting Numbers: [112]
112,96 unequal: No Solution
Exploring Operation: 61-51=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 51*61=3111, Resulting Numbers: [3111]
3111,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 96:[30, 82], Operations: ['22+8=30', '31+51=82']
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,96 unequal: No Solution
Exploring Operation: 30*82=2460, Resulting Numbers: [2460]
2460,96 unequal: No Solution
Exploring Operation: 30+82=112, Resulting Numbers: [112]
112,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[31, 51, 14], Operations: ['22-8=14']
Exploring Operation: 31-14=17, Resulting Numbers: [51, 17]
Generated Node #0,2,0: 96:[51, 17] Operation: 31-14=17
Exploring Operation: 31+14=45, Resulting Numbers: [51, 45]
Generated Node #0,2,1: 96:[51, 45] Operation: 31+14=45
Exploring Operation: 51-14=37, Resulting Numbers: [31, 37]
Generated Node #0,2,2: 96:[31, 37] Operation: 51-14=37
Exploring Operation: 31+51=82, Resulting Numbers: [14, 82]
Generated Node #0,2,3: 96:[14, 82] Operation: 31+51=82
Exploring Operation: 51-31=20, Resulting Numbers: [14, 20]
Generated Node #0,2,4: 96:[14, 20] Operation: 51-31=20
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 96:[51, 17], Operations: ['22-8=14', '31-14=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,96 unequal: No Solution
Exploring Operation: 51*17=867, Resulting Numbers: [867]
867,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 96:[51, 45], Operations: ['22-8=14', '31+14=45']
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[22, 31, 8, 51], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [31, 51, 14]
Generated Node #0,2: 96:[31, 51, 14] Operation: 22-8=14
Moving to Node #0,2
Current State: 96:[31, 51, 14], Operations: ['22-8=14']
Exploring Operation: 31+14=45, Resulting Numbers: [51, 45]
Generated Node #0,2,1: 96:[51, 45] Operation: 31+14=45
Moving to Node #0,2,1
Current State: 96:[51, 45], Operations: ['22-8=14', '31+14=45']
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.927083 | hs_5 | sum_heuristic |
[
76,
9,
52,
1
] | 34 | [
"76+9=85",
"52-1=51",
"85-51=34"
] | Current State: 34:[76, 9, 52, 1], Operations: []
Exploring Operation: 76+9=85, Resulting Numbers: [52, 1, 85]
Generated Node #2: [52, 1, 85] from Operation: 76+9=85
Current State: 34:[52, 1, 85], Operations: ['76+9=85']
Exploring Operation: 52-1=51, Resulting Numbers: [85, 51]
Generated Node #3: [85, 51] from Operation: 52-1=51
Current State: 34:[85, 51], Operations: ['76+9=85', '52-1=51']
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[76, 9, 52, 1], Operations: []
Exploring Operation: 76-9=67, Resulting Numbers: [52, 1, 67]
Generated Node #0,0: 34:[52, 1, 67] Operation: 76-9=67
Exploring Operation: 52-9=43, Resulting Numbers: [76, 1, 43]
Generated Node #0,1: 34:[76, 1, 43] Operation: 52-9=43
Exploring Operation: 76-1=75, Resulting Numbers: [9, 52, 75]
Generated Node #0,2: 34:[9, 52, 75] Operation: 76-1=75
Exploring Operation: 9-1=8, Resulting Numbers: [76, 52, 8]
Generated Node #0,3: 34:[76, 52, 8] Operation: 9-1=8
Exploring Operation: 76-52=24, Resulting Numbers: [9, 1, 24]
Generated Node #0,4: 34:[9, 1, 24] Operation: 76-52=24
Moving to Node #0,4
Current State: 34:[9, 1, 24], Operations: ['76-52=24']
Exploring Operation: 24-1=23, Resulting Numbers: [9, 23]
Generated Node #0,4,0: 34:[9, 23] Operation: 24-1=23
Exploring Operation: 9-1=8, Resulting Numbers: [24, 8]
Generated Node #0,4,1: 34:[24, 8] Operation: 9-1=8
Exploring Operation: 9+24=33, Resulting Numbers: [1, 33]
Generated Node #0,4,2: 34:[1, 33] Operation: 9+24=33
Exploring Operation: 24-9=15, Resulting Numbers: [1, 15]
Generated Node #0,4,3: 34:[1, 15] Operation: 24-9=15
Exploring Operation: 9+1=10, Resulting Numbers: [24, 10]
Generated Node #0,4,4: 34:[24, 10] Operation: 9+1=10
Moving to Node #0,1
Current State: 34:[76, 1, 43], Operations: ['52-9=43']
Exploring Operation: 76/1=76, Resulting Numbers: [43, 76]
Generated Node #0,1,0: 34:[43, 76] Operation: 76/1=76
Exploring Operation: 76*1=76, Resulting Numbers: [43, 76]
Generated Node #0,1,1: 34:[43, 76] Operation: 76*1=76
Exploring Operation: 43-1=42, Resulting Numbers: [76, 42]
Generated Node #0,1,2: 34:[76, 42] Operation: 43-1=42
Exploring Operation: 76-43=33, Resulting Numbers: [1, 33]
Generated Node #0,1,3: 34:[1, 33] Operation: 76-43=33
Exploring Operation: 76-1=75, Resulting Numbers: [43, 75]
Generated Node #0,1,4: 34:[43, 75] Operation: 76-1=75
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 34:[1, 33], Operations: ['52-9=43', '76-43=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[76, 9, 52, 1], Operations: []
Exploring Operation: 52-9=43, Resulting Numbers: [76, 1, 43]
Generated Node #0,1: 34:[76, 1, 43] Operation: 52-9=43
Moving to Node #0,1
Current State: 34:[76, 1, 43], Operations: ['52-9=43']
Exploring Operation: 76-43=33, Resulting Numbers: [1, 33]
Generated Node #0,1,3: 34:[1, 33] Operation: 76-43=33
Moving to Node #0,1,3
Current State: 34:[1, 33], Operations: ['52-9=43', '76-43=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
4,
13,
28,
45
] | 23 | [
"13-4=9",
"45/9=5",
"28-5=23"
] | Current State: 23:[4, 13, 28, 45], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [28, 45, 9]
Generated Node #2: [28, 45, 9] from Operation: 13-4=9
Current State: 23:[28, 45, 9], Operations: ['13-4=9']
Exploring Operation: 45/9=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 45/9=5
Current State: 23:[28, 5], Operations: ['13-4=9', '45/9=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[4, 13, 28, 45], Operations: []
Exploring Operation: 4+13=17, Resulting Numbers: [28, 45, 17]
Generated Node #0,0: 23:[28, 45, 17] Operation: 4+13=17
Exploring Operation: 28-4=24, Resulting Numbers: [13, 45, 24]
Generated Node #0,1: 23:[13, 45, 24] Operation: 28-4=24
Moving to Node #0,0
Current State: 23:[28, 45, 17], Operations: ['4+13=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28, 28]
Generated Node #0,0,0: 23:[28, 28] Operation: 45-17=28
Exploring Operation: 45-28=17, Resulting Numbers: [17, 17]
Generated Node #0,0,1: 23:[17, 17] Operation: 45-28=17
Moving to Node #0,1
Current State: 23:[13, 45, 24], Operations: ['28-4=24']
Exploring Operation: 45-13=32, Resulting Numbers: [24, 32]
Generated Node #0,1,0: 23:[24, 32] Operation: 45-13=32
Exploring Operation: 45-24=21, Resulting Numbers: [13, 21]
Generated Node #0,1,1: 23:[13, 21] Operation: 45-24=21
Moving to Node #0,0,0
Current State: 23:[28, 28], Operations: ['4+13=17', '45-17=28']
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[24, 32], Operations: ['28-4=24', '45-13=32']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[17, 17], Operations: ['4+13=17', '45-28=17']
Exploring Operation: 17+17=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 17/17=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[13, 21], Operations: ['28-4=24', '45-24=21']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,23 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
67,
64,
65,
98
] | 98 | [
"67+64=131",
"98-65=33",
"131-33=98"
] | Current State: 98:[67, 64, 65, 98], Operations: []
Exploring Operation: 67+64=131, Resulting Numbers: [65, 98, 131]
Generated Node #2: [65, 98, 131] from Operation: 67+64=131
Current State: 98:[65, 98, 131], Operations: ['67+64=131']
Exploring Operation: 98-65=33, Resulting Numbers: [131, 33]
Generated Node #3: [131, 33] from Operation: 98-65=33
Current State: 98:[131, 33], Operations: ['67+64=131', '98-65=33']
Exploring Operation: 131-33=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[67, 64, 65, 98], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [65, 98, 3]
Generated Node #0,0: 98:[65, 98, 3] Operation: 67-64=3
Exploring Operation: 67-65=2, Resulting Numbers: [64, 98, 2]
Generated Node #0,1: 98:[64, 98, 2] Operation: 67-65=2
Moving to Node #0,1
Current State: 98:[64, 98, 2], Operations: ['67-65=2']
Exploring Operation: 64-2=62, Resulting Numbers: [98, 62]
Generated Node #0,1,0: 98:[98, 62] Operation: 64-2=62
Exploring Operation: 98-64=34, Resulting Numbers: [2, 34]
Generated Node #0,1,1: 98:[2, 34] Operation: 98-64=34
Moving to Node #0,0
Current State: 98:[65, 98, 3], Operations: ['67-64=3']
Exploring Operation: 98-65=33, Resulting Numbers: [3, 33]
Generated Node #0,0,0: 98:[3, 33] Operation: 98-65=33
Exploring Operation: 65-3=62, Resulting Numbers: [98, 62]
Generated Node #0,0,1: 98:[98, 62] Operation: 65-3=62
Moving to Node #0,1,0
Current State: 98:[98, 62], Operations: ['67-65=2', '64-2=62']
Exploring Operation: 98-62=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 98+62=160, Resulting Numbers: [160]
160,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[98, 62], Operations: ['67-64=3', '65-3=62']
Exploring Operation: 98-62=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 98+62=160, Resulting Numbers: [160]
160,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[2, 34], Operations: ['67-65=2', '98-64=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,98 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[3, 33], Operations: ['67-64=3', '98-65=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,98 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,98 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
25,
77,
35,
51
] | 33 | [
"25+77=102",
"102/51=2",
"35-2=33"
] | Current State: 33:[25, 77, 35, 51], Operations: []
Exploring Operation: 25+77=102, Resulting Numbers: [35, 51, 102]
Generated Node #2: [35, 51, 102] from Operation: 25+77=102
Current State: 33:[35, 51, 102], Operations: ['25+77=102']
Exploring Operation: 102/51=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 102/51=2
Current State: 33:[35, 2], Operations: ['25+77=102', '102/51=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[25, 77, 35, 51], Operations: []
Exploring Operation: 77-51=26, Resulting Numbers: [25, 35, 26]
Generated Node #0,0: 33:[25, 35, 26] Operation: 77-51=26
Moving to Node #0,0
Current State: 33:[25, 35, 26], Operations: ['77-51=26']
Exploring Operation: 26-25=1, Resulting Numbers: [35, 1]
Generated Node #0,0,0: 33:[35, 1] Operation: 26-25=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[35, 1], Operations: ['77-51=26', '26-25=1']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
17,
27,
51,
44
] | 35 | [
"17*27=459",
"459/51=9",
"44-9=35"
] | Current State: 35:[17, 27, 51, 44], Operations: []
Exploring Operation: 17*27=459, Resulting Numbers: [51, 44, 459]
Generated Node #2: [51, 44, 459] from Operation: 17*27=459
Current State: 35:[51, 44, 459], Operations: ['17*27=459']
Exploring Operation: 459/51=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 459/51=9
Current State: 35:[44, 9], Operations: ['17*27=459', '459/51=9']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[17, 27, 51, 44], Operations: []
Exploring Operation: 51-17=34, Resulting Numbers: [27, 44, 34]
Generated Node #0,0: 35:[27, 44, 34] Operation: 51-17=34
Exploring Operation: 51-44=7, Resulting Numbers: [17, 27, 7]
Generated Node #0,1: 35:[17, 27, 7] Operation: 51-44=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[27, 44, 34], Operations: ['51-17=34']
Exploring Operation: 34-27=7, Resulting Numbers: [44, 7]
Generated Node #0,0,0: 35:[44, 7] Operation: 34-27=7
Exploring Operation: 44-27=17, Resulting Numbers: [34, 17]
Generated Node #0,0,1: 35:[34, 17] Operation: 44-27=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[44, 7], Operations: ['51-17=34', '34-27=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[34, 17], Operations: ['51-17=34', '44-27=17']
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,35 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: 35:[17, 27, 7], Operations: ['51-44=7']
Exploring Operation: 27-17=10, Resulting Numbers: [7, 10]
Generated Node #0,1,0: 35:[7, 10] Operation: 27-17=10
Exploring Operation: 17+27=44, Resulting Numbers: [7, 44]
Generated Node #0,1,1: 35:[7, 44] Operation: 17+27=44
Moving to Node #0,1,0
Current State: 35:[7, 10], Operations: ['51-44=7', '27-17=10']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[7, 44], Operations: ['51-44=7', '17+27=44']
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,35 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,35 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 |
[
22,
20,
7,
65
] | 59 | [
"22+20=42",
"42/7=6",
"65-6=59"
] | Current State: 59:[22, 20, 7, 65], Operations: []
Exploring Operation: 22+20=42, Resulting Numbers: [7, 65, 42]
Generated Node #2: [7, 65, 42] from Operation: 22+20=42
Current State: 59:[7, 65, 42], Operations: ['22+20=42']
Exploring Operation: 42/7=6, Resulting Numbers: [65, 6]
Generated Node #3: [65, 6] from Operation: 42/7=6
Current State: 59:[65, 6], Operations: ['22+20=42', '42/7=6']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[22, 20, 7, 65], Operations: []
Exploring Operation: 22+20=42, Resulting Numbers: [7, 65, 42]
Generated Node #0,0: 59:[7, 65, 42] Operation: 22+20=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[7, 65, 42], Operations: ['22+20=42']
Exploring Operation: 7+42=49, Resulting Numbers: [65, 49]
Generated Node #0,0,0: 59:[65, 49] Operation: 7+42=49
Moving to Node #0,0,0
Current State: 59:[65, 49], Operations: ['22+20=42', '7+42=49']
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,59 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 |
[
32,
78,
21,
47
] | 96 | [
"32*78=2496",
"47-21=26",
"2496/26=96"
] | Current State: 96:[32, 78, 21, 47], Operations: []
Exploring Operation: 32*78=2496, Resulting Numbers: [21, 47, 2496]
Generated Node #2: [21, 47, 2496] from Operation: 32*78=2496
Current State: 96:[21, 47, 2496], Operations: ['32*78=2496']
Exploring Operation: 47-21=26, Resulting Numbers: [2496, 26]
Generated Node #3: [2496, 26] from Operation: 47-21=26
Current State: 96:[2496, 26], Operations: ['32*78=2496', '47-21=26']
Exploring Operation: 2496/26=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[32, 78, 21, 47], Operations: []
Exploring Operation: 78-47=31, Resulting Numbers: [32, 21, 31]
Generated Node #0,0: 96:[32, 21, 31] Operation: 78-47=31
Exploring Operation: 78+21=99, Resulting Numbers: [32, 47, 99]
Generated Node #0,1: 96:[32, 47, 99] Operation: 78+21=99
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[32, 21, 31], Operations: ['78-47=31']
Exploring Operation: 31-21=10, Resulting Numbers: [32, 10]
Generated Node #0,0,0: 96:[32, 10] Operation: 31-21=10
Exploring Operation: 32-21=11, Resulting Numbers: [31, 11]
Generated Node #0,0,1: 96:[31, 11] Operation: 32-21=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[32, 10], Operations: ['78-47=31', '31-21=10']
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,96 unequal: No Solution
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[31, 11], Operations: ['78-47=31', '32-21=11']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,96 unequal: No Solution
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[32, 47, 99], Operations: ['78+21=99']
Exploring Operation: 47-32=15, Resulting Numbers: [99, 15]
Generated Node #0,1,0: 96:[99, 15] Operation: 47-32=15
Exploring Operation: 99-47=52, Resulting Numbers: [32, 52]
Generated Node #0,1,1: 96:[32, 52] Operation: 99-47=52
Moving to Node #0,1,0
Current State: 96:[99, 15], Operations: ['78+21=99', '47-32=15']
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,96 unequal: No Solution
Exploring Operation: 99+15=114, Resulting Numbers: [114]
114,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[32, 52], Operations: ['78+21=99', '99-47=52']
Exploring Operation: 32+52=84, Resulting Numbers: [84]
84,96 unequal: No Solution
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,96 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 |
[
21,
38,
12,
48
] | 43 | [
"38-21=17",
"12+48=60",
"60-17=43"
] | Current State: 43:[21, 38, 12, 48], Operations: []
Exploring Operation: 38-21=17, Resulting Numbers: [12, 48, 17]
Generated Node #2: [12, 48, 17] from Operation: 38-21=17
Current State: 43:[12, 48, 17], Operations: ['38-21=17']
Exploring Operation: 12+48=60, Resulting Numbers: [17, 60]
Generated Node #3: [17, 60] from Operation: 12+48=60
Current State: 43:[17, 60], Operations: ['38-21=17', '12+48=60']
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[21, 38, 12, 48], Operations: []
Exploring Operation: 21+12=33, Resulting Numbers: [38, 48, 33]
Generated Node #0,0: 43:[38, 48, 33] Operation: 21+12=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[38, 48, 33], Operations: ['21+12=33']
Exploring Operation: 38+33=71, Resulting Numbers: [48, 71]
Generated Node #0,0,0: 43:[48, 71] Operation: 38+33=71
Moving to Node #0,0,0
Current State: 43:[48, 71], Operations: ['21+12=33', '38+33=71']
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,43 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 |
[
82,
44,
23,
5
] | 65 | [
"82+23=105",
"105/5=21",
"44+21=65"
] | Current State: 65:[82, 44, 23, 5], Operations: []
Exploring Operation: 82+23=105, Resulting Numbers: [44, 5, 105]
Generated Node #2: [44, 5, 105] from Operation: 82+23=105
Current State: 65:[44, 5, 105], Operations: ['82+23=105']
Exploring Operation: 105/5=21, Resulting Numbers: [44, 21]
Generated Node #3: [44, 21] from Operation: 105/5=21
Current State: 65:[44, 21], Operations: ['82+23=105', '105/5=21']
Exploring Operation: 44+21=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[82, 44, 23, 5], Operations: []
Exploring Operation: 44+23=67, Resulting Numbers: [82, 5, 67]
Generated Node #0,0: 65:[82, 5, 67] Operation: 44+23=67
Exploring Operation: 44-23=21, Resulting Numbers: [82, 5, 21]
Generated Node #0,1: 65:[82, 5, 21] Operation: 44-23=21
Exploring Operation: 82-23=59, Resulting Numbers: [44, 5, 59]
Generated Node #0,2: 65:[44, 5, 59] Operation: 82-23=59
Exploring Operation: 82-44=38, Resulting Numbers: [23, 5, 38]
Generated Node #0,3: 65:[23, 5, 38] Operation: 82-44=38
Moving to Node #0,0
Current State: 65:[82, 5, 67], Operations: ['44+23=67']
Exploring Operation: 82+5=87, Resulting Numbers: [67, 87]
Generated Node #0,0,0: 65:[67, 87] Operation: 82+5=87
Exploring Operation: 67-5=62, Resulting Numbers: [82, 62]
Generated Node #0,0,1: 65:[82, 62] Operation: 67-5=62
Exploring Operation: 82-5=77, Resulting Numbers: [67, 77]
Generated Node #0,0,2: 65:[67, 77] Operation: 82-5=77
Exploring Operation: 82-67=15, Resulting Numbers: [5, 15]
Generated Node #0,0,3: 65:[5, 15] Operation: 82-67=15
Moving to Node #0,1
Current State: 65:[82, 5, 21], Operations: ['44-23=21']
Exploring Operation: 21-5=16, Resulting Numbers: [82, 16]
Generated Node #0,1,0: 65:[82, 16] Operation: 21-5=16
Exploring Operation: 82-21=61, Resulting Numbers: [5, 61]
Generated Node #0,1,1: 65:[5, 61] Operation: 82-21=61
Exploring Operation: 82+5=87, Resulting Numbers: [21, 87]
Generated Node #0,1,2: 65:[21, 87] Operation: 82+5=87
Exploring Operation: 82-5=77, Resulting Numbers: [21, 77]
Generated Node #0,1,3: 65:[21, 77] Operation: 82-5=77
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[5, 61], Operations: ['44-23=21', '82-21=61']
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,65 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,65 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 #0,1,0
Current State: 65:[82, 16], Operations: ['44-23=21', '21-5=16']
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 82+16=98, Resulting Numbers: [98]
98,65 unequal: No Solution
Exploring Operation: 82*16=1312, Resulting Numbers: [1312]
1312,65 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 #0,1,3
Current State: 65:[21, 77], Operations: ['44-23=21', '82-5=77']
Exploring Operation: 21*77=1617, Resulting Numbers: [1617]
1617,65 unequal: No Solution
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 21+77=98, Resulting Numbers: [98]
98,65 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 #0,1,2
Current State: 65:[21, 87], Operations: ['44-23=21', '82+5=87']
Exploring Operation: 21+87=108, Resulting Numbers: [108]
108,65 unequal: No Solution
Exploring Operation: 21*87=1827, Resulting Numbers: [1827]
1827,65 unequal: No Solution
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,65 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:[44, 5, 59], Operations: ['82-23=59']
Exploring Operation: 5+59=64, Resulting Numbers: [44, 64]
Generated Node #0,2,0: 65:[44, 64] Operation: 5+59=64
Exploring Operation: 44+5=49, Resulting Numbers: [59, 49]
Generated Node #0,2,1: 65:[59, 49] Operation: 44+5=49
Exploring Operation: 59-44=15, Resulting Numbers: [5, 15]
Generated Node #0,2,2: 65:[5, 15] Operation: 59-44=15
Exploring Operation: 44-5=39, Resulting Numbers: [59, 39]
Generated Node #0,2,3: 65:[59, 39] Operation: 44-5=39
Moving to Node #0,3
Current State: 65:[23, 5, 38], Operations: ['82-44=38']
Exploring Operation: 23-5=18, Resulting Numbers: [38, 18]
Generated Node #0,3,0: 65:[38, 18] Operation: 23-5=18
Exploring Operation: 23+38=61, Resulting Numbers: [5, 61]
Generated Node #0,3,1: 65:[5, 61] Operation: 23+38=61
Exploring Operation: 38-5=33, Resulting Numbers: [23, 33]
Generated Node #0,3,2: 65:[23, 33] Operation: 38-5=33
Exploring Operation: 38-23=15, Resulting Numbers: [5, 15]
Generated Node #0,3,3: 65:[5, 15] Operation: 38-23=15
Moving to Node #0,0,3
Current State: 65:[5, 15], Operations: ['44+23=67', '82-67=15']
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[5, 15], Operations: ['82-23=59', '59-44=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[5, 15], Operations: ['82-44=38', '38-23=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[5, 61], Operations: ['82-44=38', '23+38=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[67, 77], Operations: ['44+23=67', '82-5=77']
Exploring Operation: 67+77=144, Resulting Numbers: [144]
144,65 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 67*77=5159, Resulting Numbers: [5159]
5159,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[82, 62], Operations: ['44+23=67', '67-5=62']
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 82*62=5084, Resulting Numbers: [5084]
5084,65 unequal: No Solution
Exploring Operation: 82+62=144, Resulting Numbers: [144]
144,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[59, 49], Operations: ['82-23=59', '44+5=49']
Exploring Operation: 59+49=108, Resulting Numbers: [108]
108,65 unequal: No Solution
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 59*49=2891, Resulting Numbers: [2891]
2891,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[44, 64], Operations: ['82-23=59', '5+59=64']
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 44+64=108, Resulting Numbers: [108]
108,65 unequal: No Solution
Exploring Operation: 44*64=2816, Resulting Numbers: [2816]
2816,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[67, 87], Operations: ['44+23=67', '82+5=87']
Exploring Operation: 87-67=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 67+87=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 67*87=5829, Resulting Numbers: [5829]
5829,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[23, 33], Operations: ['82-44=38', '38-5=33']
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 23*33=759, Resulting Numbers: [759]
759,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[38, 18], Operations: ['82-44=38', '23-5=18']
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,65 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[59, 39], Operations: ['82-23=59', '44-5=39']
Exploring Operation: 59*39=2301, Resulting Numbers: [2301]
2301,65 unequal: No Solution
Exploring Operation: 59+39=98, Resulting Numbers: [98]
98,65 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,65 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
7,
31,
21,
66
] | 50 | [
"7*21=147",
"31+66=97",
"147-97=50"
] | Current State: 50:[7, 31, 21, 66], Operations: []
Exploring Operation: 7*21=147, Resulting Numbers: [31, 66, 147]
Generated Node #2: [31, 66, 147] from Operation: 7*21=147
Current State: 50:[31, 66, 147], Operations: ['7*21=147']
Exploring Operation: 31+66=97, Resulting Numbers: [147, 97]
Generated Node #3: [147, 97] from Operation: 31+66=97
Current State: 50:[147, 97], Operations: ['7*21=147', '31+66=97']
Exploring Operation: 147-97=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[7, 31, 21, 66], Operations: []
Exploring Operation: 66-21=45, Resulting Numbers: [7, 31, 45]
Generated Node #0,0: 50:[7, 31, 45] Operation: 66-21=45
Exploring Operation: 66-31=35, Resulting Numbers: [7, 21, 35]
Generated Node #0,1: 50:[7, 21, 35] Operation: 66-31=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[7, 31, 45], Operations: ['66-21=45']
Exploring Operation: 31-7=24, Resulting Numbers: [45, 24]
Generated Node #0,0,0: 50:[45, 24] Operation: 31-7=24
Exploring Operation: 45-31=14, Resulting Numbers: [7, 14]
Generated Node #0,0,1: 50:[7, 14] Operation: 45-31=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 50:[45, 24], Operations: ['66-21=45', '31-7=24']
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 50:[7, 14], Operations: ['66-21=45', '45-31=14']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[7, 21, 35], Operations: ['66-31=35']
Exploring Operation: 35/7=5, Resulting Numbers: [21, 5]
Generated Node #0,1,0: 50:[21, 5] Operation: 35/7=5
Exploring Operation: 35-21=14, Resulting Numbers: [7, 14]
Generated Node #0,1,1: 50:[7, 14] Operation: 35-21=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[21, 5], Operations: ['66-31=35', '35/7=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 50:[7, 14], Operations: ['66-31=35', '35-21=14']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
55,
42,
71,
21
] | 39 | [
"55*42=2310",
"2310/21=110",
"110-71=39"
] | Current State: 39:[55, 42, 71, 21], Operations: []
Exploring Operation: 55*42=2310, Resulting Numbers: [71, 21, 2310]
Generated Node #2: [71, 21, 2310] from Operation: 55*42=2310
Current State: 39:[71, 21, 2310], Operations: ['55*42=2310']
Exploring Operation: 2310/21=110, Resulting Numbers: [71, 110]
Generated Node #3: [71, 110] from Operation: 2310/21=110
Current State: 39:[71, 110], Operations: ['55*42=2310', '2310/21=110']
Exploring Operation: 110-71=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[55, 42, 71, 21], Operations: []
Exploring Operation: 55-21=34, Resulting Numbers: [42, 71, 34]
Generated Node #0,0: 39:[42, 71, 34] Operation: 55-21=34
Exploring Operation: 71-21=50, Resulting Numbers: [55, 42, 50]
Generated Node #0,1: 39:[55, 42, 50] Operation: 71-21=50
Exploring Operation: 55-42=13, Resulting Numbers: [71, 21, 13]
Generated Node #0,2: 39:[71, 21, 13] Operation: 55-42=13
Exploring Operation: 71-55=16, Resulting Numbers: [42, 21, 16]
Generated Node #0,3: 39:[42, 21, 16] Operation: 71-55=16
Exploring Operation: 71-42=29, Resulting Numbers: [55, 21, 29]
Generated Node #0,4: 39:[55, 21, 29] Operation: 71-42=29
Moving to Node #0,3
Current State: 39:[42, 21, 16], Operations: ['71-55=16']
Exploring Operation: 42-21=21, Resulting Numbers: [16, 21]
Generated Node #0,3,0: 39:[16, 21] Operation: 42-21=21
Exploring Operation: 42/21=2, Resulting Numbers: [16, 2]
Generated Node #0,3,1: 39:[16, 2] Operation: 42/21=2
Exploring Operation: 21-16=5, Resulting Numbers: [42, 5]
Generated Node #0,3,2: 39:[42, 5] Operation: 21-16=5
Exploring Operation: 21+16=37, Resulting Numbers: [42, 37]
Generated Node #0,3,3: 39:[42, 37] Operation: 21+16=37
Exploring Operation: 42-16=26, Resulting Numbers: [21, 26]
Generated Node #0,3,4: 39:[21, 26] Operation: 42-16=26
Moving to Node #0,1
Current State: 39:[55, 42, 50], Operations: ['71-21=50']
Exploring Operation: 55-42=13, Resulting Numbers: [50, 13]
Generated Node #0,1,0: 39:[50, 13] Operation: 55-42=13
Exploring Operation: 50-42=8, Resulting Numbers: [55, 8]
Generated Node #0,1,1: 39:[55, 8] Operation: 50-42=8
Exploring Operation: 55-50=5, Resulting Numbers: [42, 5]
Generated Node #0,1,2: 39:[42, 5] Operation: 55-50=5
Exploring Operation: 55+42=97, Resulting Numbers: [50, 97]
Generated Node #0,1,3: 39:[50, 97] Operation: 55+42=97
Exploring Operation: 55+50=105, Resulting Numbers: [42, 105]
Generated Node #0,1,4: 39:[42, 105] Operation: 55+50=105
Moving to Node #0,4
Current State: 39:[55, 21, 29], Operations: ['71-42=29']
Exploring Operation: 29-21=8, Resulting Numbers: [55, 8]
Generated Node #0,4,0: 39:[55, 8] Operation: 29-21=8
Exploring Operation: 55-21=34, Resulting Numbers: [29, 34]
Generated Node #0,4,1: 39:[29, 34] Operation: 55-21=34
Exploring Operation: 55-29=26, Resulting Numbers: [21, 26]
Generated Node #0,4,2: 39:[21, 26] Operation: 55-29=26
Exploring Operation: 55+21=76, Resulting Numbers: [29, 76]
Generated Node #0,4,3: 39:[29, 76] Operation: 55+21=76
Exploring Operation: 21+29=50, Resulting Numbers: [55, 50]
Generated Node #0,4,4: 39:[55, 50] Operation: 21+29=50
Moving to Node #0,0
Current State: 39:[42, 71, 34], Operations: ['55-21=34']
Exploring Operation: 71-42=29, Resulting Numbers: [34, 29]
Generated Node #0,0,0: 39:[34, 29] Operation: 71-42=29
Exploring Operation: 42+34=76, Resulting Numbers: [71, 76]
Generated Node #0,0,1: 39:[71, 76] Operation: 42+34=76
Exploring Operation: 42-34=8, Resulting Numbers: [71, 8]
Generated Node #0,0,2: 39:[71, 8] Operation: 42-34=8
Exploring Operation: 71+34=105, Resulting Numbers: [42, 105]
Generated Node #0,0,3: 39:[42, 105] Operation: 71+34=105
Exploring Operation: 71-34=37, Resulting Numbers: [42, 37]
Generated Node #0,0,4: 39:[42, 37] Operation: 71-34=37
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 39:[42, 37], Operations: ['55-21=34', '71-34=37']
Exploring Operation: 42*37=1554, Resulting Numbers: [1554]
1554,39 unequal: No Solution
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 42+37=79, Resulting Numbers: [79]
79,39 unequal: No Solution
No 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: 39:[34, 29], Operations: ['55-21=34', '71-42=29']
Exploring Operation: 34+29=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 34-29=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 34*29=986, Resulting Numbers: [986]
986,39 unequal: No Solution
No 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: 39:[71, 8], Operations: ['55-21=34', '42-34=8']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 71*8=568, Resulting Numbers: [568]
568,39 unequal: No Solution
No 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: 39:[71, 76], Operations: ['55-21=34', '42+34=76']
Exploring Operation: 71+76=147, Resulting Numbers: [147]
147,39 unequal: No Solution
Exploring Operation: 71*76=5396, Resulting Numbers: [5396]
5396,39 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,39 unequal: No Solution
No 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: 39:[42, 105], Operations: ['55-21=34', '71+34=105']
Exploring Operation: 42*105=4410, Resulting Numbers: [4410]
4410,39 unequal: No Solution
Exploring Operation: 42+105=147, Resulting Numbers: [147]
147,39 unequal: No Solution
Exploring Operation: 105-42=63, Resulting Numbers: [63]
63,39 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: 39:[71, 21, 13], Operations: ['55-42=13']
Exploring Operation: 21-13=8, Resulting Numbers: [71, 8]
Generated Node #0,2,0: 39:[71, 8] Operation: 21-13=8
Exploring Operation: 71-13=58, Resulting Numbers: [21, 58]
Generated Node #0,2,1: 39:[21, 58] Operation: 71-13=58
Exploring Operation: 21+13=34, Resulting Numbers: [71, 34]
Generated Node #0,2,2: 39:[71, 34] Operation: 21+13=34
Exploring Operation: 71-21=50, Resulting Numbers: [13, 50]
Generated Node #0,2,3: 39:[13, 50] Operation: 71-21=50
Exploring Operation: 71+21=92, Resulting Numbers: [13, 92]
Generated Node #0,2,4: 39:[13, 92] Operation: 71+21=92
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 39:[13, 50], Operations: ['55-42=13', '71-21=50']
Exploring Operation: 13*50=650, Resulting Numbers: [650]
650,39 unequal: No Solution
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,39 unequal: No Solution
No 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: 39:[21, 58], Operations: ['55-42=13', '71-13=58']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 21*58=1218, Resulting Numbers: [1218]
1218,39 unequal: No Solution
No 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: 39:[71, 8], Operations: ['55-42=13', '21-13=8']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 71*8=568, Resulting Numbers: [568]
568,39 unequal: No Solution
No 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: 39:[71, 34], Operations: ['55-42=13', '21+13=34']
Exploring Operation: 71*34=2414, Resulting Numbers: [2414]
2414,39 unequal: No Solution
Exploring Operation: 71+34=105, Resulting Numbers: [105]
105,39 unequal: No Solution
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,39 unequal: No Solution
No 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: 39:[13, 92], Operations: ['55-42=13', '71+21=92']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 13+92=105, Resulting Numbers: [105]
105,39 unequal: No Solution
Exploring Operation: 13*92=1196, Resulting Numbers: [1196]
1196,39 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: 39:[16, 2], Operations: ['71-55=16', '42/21=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[42, 37], Operations: ['71-55=16', '21+16=37']
Exploring Operation: 42*37=1554, Resulting Numbers: [1554]
1554,39 unequal: No Solution
Exploring Operation: 42+37=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 42-37=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[42, 5], Operations: ['71-21=50', '55-50=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,39 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[42, 5], Operations: ['71-55=16', '21-16=5']
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,39 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[50, 13], Operations: ['71-21=50', '55-42=13']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 50*13=650, Resulting Numbers: [650]
650,39 unequal: No Solution
Moving to Node #0,3,0
Current State: 39:[16, 21], Operations: ['71-55=16', '42-21=21']
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,39 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Moving to Node #0,4,1
Current State: 39:[29, 34], Operations: ['71-42=29', '55-21=34']
Exploring Operation: 29*34=986, Resulting Numbers: [986]
986,39 unequal: No Solution
Exploring Operation: 34-29=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 29+34=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Moving to Node #0,4,2
Current State: 39:[21, 26], Operations: ['71-42=29', '55-29=26']
Exploring Operation: 21*26=546, Resulting Numbers: [546]
546,39 unequal: No Solution
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Moving to Node #0,4,0
Current State: 39:[55, 8], Operations: ['71-42=29', '29-21=8']
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,39 unequal: No Solution
Moving to Node #0,3,4
Current State: 39:[21, 26], Operations: ['71-55=16', '42-16=26']
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 21*26=546, Resulting Numbers: [546]
546,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[55, 8], Operations: ['71-21=50', '50-42=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,39 unequal: No Solution
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,39 unequal: No Solution
Moving to Node #0,4,4
Current State: 39:[55, 50], Operations: ['71-42=29', '21+29=50']
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 55*50=2750, Resulting Numbers: [2750]
2750,39 unequal: No Solution
Exploring Operation: 55+50=105, Resulting Numbers: [105]
105,39 unequal: No Solution
Moving to Node #0,4,3
Current State: 39:[29, 76], Operations: ['71-42=29', '55+21=76']
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 29*76=2204, Resulting Numbers: [2204]
2204,39 unequal: No Solution
Exploring Operation: 29+76=105, Resulting Numbers: [105]
105,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[50, 97], Operations: ['71-21=50', '55+42=97']
Exploring Operation: 97-50=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 50+97=147, Resulting Numbers: [147]
147,39 unequal: No Solution
Exploring Operation: 50*97=4850, Resulting Numbers: [4850]
4850,39 unequal: No Solution
Moving to Node #0,1,4
Current State: 39:[42, 105], Operations: ['71-21=50', '55+50=105']
Exploring Operation: 42*105=4410, Resulting Numbers: [4410]
4410,39 unequal: No Solution
Exploring Operation: 42+105=147, Resulting Numbers: [147]
147,39 unequal: No Solution
Exploring Operation: 105-42=63, Resulting Numbers: [63]
63,39 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
46,
33,
22,
3
] | 39 | [
"46-22=24",
"3*24=72",
"72-33=39"
] | Current State: 39:[46, 33, 22, 3], Operations: []
Exploring Operation: 46-22=24, Resulting Numbers: [33, 3, 24]
Generated Node #2: [33, 3, 24] from Operation: 46-22=24
Current State: 39:[33, 3, 24], Operations: ['46-22=24']
Exploring Operation: 3*24=72, Resulting Numbers: [33, 72]
Generated Node #3: [33, 72] from Operation: 3*24=72
Current State: 39:[33, 72], Operations: ['46-22=24', '3*24=72']
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[46, 33, 22, 3], Operations: []
Exploring Operation: 46-22=24, Resulting Numbers: [33, 3, 24]
Generated Node #0,0: 39:[33, 3, 24] Operation: 46-22=24
Exploring Operation: 33-22=11, Resulting Numbers: [46, 3, 11]
Generated Node #0,1: 39:[46, 3, 11] Operation: 33-22=11
Exploring Operation: 46-33=13, Resulting Numbers: [22, 3, 13]
Generated Node #0,2: 39:[22, 3, 13] Operation: 46-33=13
Exploring Operation: 33/3=11, Resulting Numbers: [46, 22, 11]
Generated Node #0,3: 39:[46, 22, 11] Operation: 33/3=11
Moving to Node #0,1
Current State: 39:[46, 3, 11], Operations: ['33-22=11']
Exploring Operation: 46+3=49, Resulting Numbers: [11, 49]
Generated Node #0,1,0: 39:[11, 49] Operation: 46+3=49
Exploring Operation: 3+11=14, Resulting Numbers: [46, 14]
Generated Node #0,1,1: 39:[46, 14] Operation: 3+11=14
Exploring Operation: 46-11=35, Resulting Numbers: [3, 35]
Generated Node #0,1,2: 39:[3, 35] Operation: 46-11=35
Exploring Operation: 46-3=43, Resulting Numbers: [11, 43]
Generated Node #0,1,3: 39:[11, 43] Operation: 46-3=43
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 39:[3, 35], Operations: ['33-22=11', '46-11=35']
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,39 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,39 unequal: No Solution
No 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: 39:[11, 43], Operations: ['33-22=11', '46-3=43']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 11*43=473, Resulting Numbers: [473]
473,39 unequal: No Solution
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,39 unequal: No Solution
No 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: 39:[46, 14], Operations: ['33-22=11', '3+11=14']
Exploring Operation: 46*14=644, Resulting Numbers: [644]
644,39 unequal: No Solution
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,39 unequal: No Solution
No 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: 39:[11, 49], Operations: ['33-22=11', '46+3=49']
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,39 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,39 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: 39:[22, 3, 13], Operations: ['46-33=13']
Exploring Operation: 22-13=9, Resulting Numbers: [3, 9]
Generated Node #0,2,0: 39:[3, 9] Operation: 22-13=9
Exploring Operation: 22+13=35, Resulting Numbers: [3, 35]
Generated Node #0,2,1: 39:[3, 35] Operation: 22+13=35
Exploring Operation: 3*13=39, Resulting Numbers: [22, 39]
Generated Node #0,2,2: 39:[22, 39] Operation: 3*13=39
Exploring Operation: 22-3=19, Resulting Numbers: [13, 19]
Generated Node #0,2,3: 39:[13, 19] Operation: 22-3=19
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[3, 9], Operations: ['46-33=13', '22-13=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,39 unequal: No Solution
No 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: 39:[3, 35], Operations: ['46-33=13', '22+13=35']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,39 unequal: No Solution
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,39 unequal: No Solution
No 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: 39:[13, 19], Operations: ['46-33=13', '22-3=19']
Exploring Operation: 13*19=247, Resulting Numbers: [247]
247,39 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,39 unequal: No Solution
No 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: 39:[22, 39], Operations: ['46-33=13', '3*13=39']
Exploring Operation: 22+39=61, Resulting Numbers: [61]
61,39 unequal: No Solution
Exploring Operation: 22*39=858, Resulting Numbers: [858]
858,39 unequal: No Solution
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,39 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: 39:[33, 3, 24], Operations: ['46-22=24']
Exploring Operation: 24/3=8, Resulting Numbers: [33, 8]
Generated Node #0,0,0: 39:[33, 8] Operation: 24/3=8
Exploring Operation: 33-24=9, Resulting Numbers: [3, 9]
Generated Node #0,0,1: 39:[3, 9] Operation: 33-24=9
Exploring Operation: 33+3=36, Resulting Numbers: [24, 36]
Generated Node #0,0,2: 39:[24, 36] Operation: 33+3=36
Exploring Operation: 33/3=11, Resulting Numbers: [24, 11]
Generated Node #0,0,3: 39:[24, 11] Operation: 33/3=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[3, 9], Operations: ['46-22=24', '33-24=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No 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: 39:[33, 8], Operations: ['46-22=24', '24/3=8']
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,39 unequal: No Solution
Exploring Operation: 33*8=264, Resulting Numbers: [264]
264,39 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,39 unequal: No Solution
No 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: 39:[24, 11], Operations: ['46-22=24', '33/3=11']
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,39 unequal: No Solution
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,39 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,39 unequal: No Solution
No 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: 39:[24, 36], Operations: ['46-22=24', '33+3=36']
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 24*36=864, Resulting Numbers: [864]
864,39 unequal: No Solution
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,39 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: 39:[46, 22, 11], Operations: ['33/3=11']
Exploring Operation: 22/11=2, Resulting Numbers: [46, 2]
Generated Node #0,3,0: 39:[46, 2] Operation: 22/11=2
Exploring Operation: 22-11=11, Resulting Numbers: [46, 11]
Generated Node #0,3,1: 39:[46, 11] Operation: 22-11=11
Exploring Operation: 46-22=24, Resulting Numbers: [11, 24]
Generated Node #0,3,2: 39:[11, 24] Operation: 46-22=24
Exploring Operation: 46-11=35, Resulting Numbers: [22, 35]
Generated Node #0,3,3: 39:[22, 35] Operation: 46-11=35
Moving to Node #0,3,0
Current State: 39:[46, 2], Operations: ['33/3=11', '22/11=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,39 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Moving to Node #0,3,1
Current State: 39:[46, 11], Operations: ['33/3=11', '22-11=11']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,39 unequal: No Solution
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,39 unequal: No Solution
Exploring Operation: 46*11=506, Resulting Numbers: [506]
506,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[22, 35], Operations: ['33/3=11', '46-11=35']
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 22*35=770, Resulting Numbers: [770]
770,39 unequal: No Solution
Exploring Operation: 22+35=57, Resulting Numbers: [57]
57,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[11, 24], Operations: ['33/3=11', '46-22=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,39 unequal: No Solution
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,39 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
34,
23,
34,
40
] | 40 | [
"34-34=0",
"23*0=0",
"40+0=40"
] | Current State: 40:[34, 23, 34, 40], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [23, 40, 0]
Generated Node #2: [23, 40, 0] from Operation: 34-34=0
Current State: 40:[23, 40, 0], Operations: ['34-34=0']
Exploring Operation: 23*0=0, Resulting Numbers: [40, 0]
Generated Node #3: [40, 0] from Operation: 23*0=0
Current State: 40:[40, 0], Operations: ['34-34=0', '23*0=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[34, 23, 34, 40], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [34, 40, 11]
Generated Node #0,0: 40:[34, 40, 11] Operation: 34-23=11
Exploring Operation: 34/34=1, Resulting Numbers: [23, 40, 1]
Generated Node #0,1: 40:[23, 40, 1] Operation: 34/34=1
Exploring Operation: 34-34=0, Resulting Numbers: [23, 40, 0]
Generated Node #0,2: 40:[23, 40, 0] Operation: 34-34=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[23, 40, 1], Operations: ['34/34=1']
Exploring Operation: 23*1=23, Resulting Numbers: [40, 23]
Generated Node #0,1,0: 40:[40, 23] Operation: 23*1=23
Exploring Operation: 23/1=23, Resulting Numbers: [40, 23]
Generated Node #0,1,1: 40:[40, 23] Operation: 23/1=23
Exploring Operation: 23-1=22, Resulting Numbers: [40, 22]
Generated Node #0,1,2: 40:[40, 22] Operation: 23-1=22
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 40:[40, 22], Operations: ['34/34=1', '23-1=22']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,40 unequal: No Solution
Exploring Operation: 40*22=880, Resulting Numbers: [880]
880,40 unequal: No Solution
No 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: 40:[40, 23], Operations: ['34/34=1', '23*1=23']
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 40*23=920, Resulting Numbers: [920]
920,40 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,40 unequal: No Solution
No 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: 40:[40, 23], Operations: ['34/34=1', '23/1=23']
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,40 unequal: No Solution
Exploring Operation: 40*23=920, Resulting Numbers: [920]
920,40 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: 40:[23, 40, 0], Operations: ['34-34=0']
Exploring Operation: 23*0=0, Resulting Numbers: [40, 0]
Generated Node #0,2,0: 40:[40, 0] Operation: 23*0=0
Exploring Operation: 23-0=23, Resulting Numbers: [40, 23]
Generated Node #0,2,1: 40:[40, 23] Operation: 23-0=23
Exploring Operation: 23+0=23, Resulting Numbers: [40, 23]
Generated Node #0,2,2: 40:[40, 23] Operation: 23+0=23
Moving to Node #0,2,0
Current State: 40:[40, 0], Operations: ['34-34=0', '23*0=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[34, 23, 34, 40], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [23, 40, 0]
Generated Node #0,2: 40:[23, 40, 0] Operation: 34-34=0
Moving to Node #0,2
Current State: 40:[23, 40, 0], Operations: ['34-34=0']
Exploring Operation: 23*0=0, Resulting Numbers: [40, 0]
Generated Node #0,2,0: 40:[40, 0] Operation: 23*0=0
Moving to Node #0,2,0
Current State: 40:[40, 0], Operations: ['34-34=0', '23*0=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
15,
97,
67,
41
] | 82 | [
"97-67=30",
"30/15=2",
"41*2=82"
] | Current State: 82:[15, 97, 67, 41], Operations: []
Exploring Operation: 97-67=30, Resulting Numbers: [15, 41, 30]
Generated Node #2: [15, 41, 30] from Operation: 97-67=30
Current State: 82:[15, 41, 30], Operations: ['97-67=30']
Exploring Operation: 30/15=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 30/15=2
Current State: 82:[41, 2], Operations: ['97-67=30', '30/15=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[15, 97, 67, 41], Operations: []
Exploring Operation: 15+67=82, Resulting Numbers: [97, 41, 82]
Generated Node #0,0: 82:[97, 41, 82] Operation: 15+67=82
Exploring Operation: 97-15=82, Resulting Numbers: [67, 41, 82]
Generated Node #0,1: 82:[67, 41, 82] Operation: 97-15=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[97, 41, 82], Operations: ['15+67=82']
Exploring Operation: 97-41=56, Resulting Numbers: [82, 56]
Generated Node #0,0,0: 82:[82, 56] Operation: 97-41=56
Exploring Operation: 97-82=15, Resulting Numbers: [41, 15]
Generated Node #0,0,1: 82:[41, 15] Operation: 97-82=15
Moving to Node #0,0,1
Current State: 82:[41, 15], Operations: ['15+67=82', '97-82=15']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,82 unequal: No Solution
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[82, 56], Operations: ['15+67=82', '97-41=56']
Exploring Operation: 82+56=138, Resulting Numbers: [138]
138,82 unequal: No Solution
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[67, 41, 82], Operations: ['97-15=82']
Exploring Operation: 82-67=15, Resulting Numbers: [41, 15]
Generated Node #0,1,0: 82:[41, 15] Operation: 82-67=15
Exploring Operation: 67-41=26, Resulting Numbers: [82, 26]
Generated Node #0,1,1: 82:[82, 26] Operation: 67-41=26
Moving to Node #0,1,0
Current State: 82:[41, 15], Operations: ['97-15=82', '82-67=15']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,82 unequal: No Solution
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[82, 26], Operations: ['97-15=82', '67-41=26']
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 82+26=108, Resulting Numbers: [108]
108,82 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 |
[
1,
76,
52,
42
] | 66 | [
"1*76=76",
"52-42=10",
"76-10=66"
] | Current State: 66:[1, 76, 52, 42], Operations: []
Exploring Operation: 1*76=76, Resulting Numbers: [52, 42, 76]
Generated Node #2: [52, 42, 76] from Operation: 1*76=76
Current State: 66:[52, 42, 76], Operations: ['1*76=76']
Exploring Operation: 52-42=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 52-42=10
Current State: 66:[76, 10], Operations: ['1*76=76', '52-42=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[1, 76, 52, 42], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [1, 42, 24]
Generated Node #0,0: 66:[1, 42, 24] Operation: 76-52=24
Exploring Operation: 52-42=10, Resulting Numbers: [1, 76, 10]
Generated Node #0,1: 66:[1, 76, 10] Operation: 52-42=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[1, 42, 24], Operations: ['76-52=24']
Exploring Operation: 42+24=66, Resulting Numbers: [1, 66]
Generated Node #0,0,0: 66:[1, 66] Operation: 42+24=66
Exploring Operation: 42-24=18, Resulting Numbers: [1, 18]
Generated Node #0,0,1: 66:[1, 18] Operation: 42-24=18
Moving to Node #0,0,0
Current State: 66:[1, 66], Operations: ['76-52=24', '42+24=66']
Exploring Operation: 1*66=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[1, 76, 52, 42], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [1, 42, 24]
Generated Node #0,0: 66:[1, 42, 24] Operation: 76-52=24
Moving to Node #0,0
Current State: 66:[1, 42, 24], Operations: ['76-52=24']
Exploring Operation: 42+24=66, Resulting Numbers: [1, 66]
Generated Node #0,0,0: 66:[1, 66] Operation: 42+24=66
Moving to Node #0,0,0
Current State: 66:[1, 66], Operations: ['76-52=24', '42+24=66']
Exploring Operation: 1*66=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
49,
53,
29,
54
] | 21 | [
"53-49=4",
"54-29=25",
"25-4=21"
] | Current State: 21:[49, 53, 29, 54], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [29, 54, 4]
Generated Node #2: [29, 54, 4] from Operation: 53-49=4
Current State: 21:[29, 54, 4], Operations: ['53-49=4']
Exploring Operation: 54-29=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 54-29=25
Current State: 21:[4, 25], Operations: ['53-49=4', '54-29=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[49, 53, 29, 54], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [49, 29, 1]
Generated Node #0,0: 21:[49, 29, 1] Operation: 54-53=1
Moving to Node #0,0
Current State: 21:[49, 29, 1], Operations: ['54-53=1']
Exploring Operation: 49-29=20, Resulting Numbers: [1, 20]
Generated Node #0,0,0: 21:[1, 20] Operation: 49-29=20
Moving to Node #0,0,0
Current State: 21:[1, 20], Operations: ['54-53=1', '49-29=20']
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[49, 53, 29, 54], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [49, 29, 1]
Generated Node #0,0: 21:[49, 29, 1] Operation: 54-53=1
Moving to Node #0,0
Current State: 21:[49, 29, 1], Operations: ['54-53=1']
Exploring Operation: 49-29=20, Resulting Numbers: [1, 20]
Generated Node #0,0,0: 21:[1, 20] Operation: 49-29=20
Moving to Node #0,0,0
Current State: 21:[1, 20], Operations: ['54-53=1', '49-29=20']
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
80,
20,
8,
6
] | 90 | [
"8-6=2",
"20/2=10",
"80+10=90"
] | Current State: 90:[80, 20, 8, 6], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [80, 20, 2]
Generated Node #2: [80, 20, 2] from Operation: 8-6=2
Current State: 90:[80, 20, 2], Operations: ['8-6=2']
Exploring Operation: 20/2=10, Resulting Numbers: [80, 10]
Generated Node #3: [80, 10] from Operation: 20/2=10
Current State: 90:[80, 10], Operations: ['8-6=2', '20/2=10']
Exploring Operation: 80+10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[80, 20, 8, 6], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [20, 6, 10]
Generated Node #0,0: 90:[20, 6, 10] Operation: 80/8=10
Exploring Operation: 80/20=4, Resulting Numbers: [8, 6, 4]
Generated Node #0,1: 90:[8, 6, 4] Operation: 80/20=4
Moving to Node #0,0
Current State: 90:[20, 6, 10], Operations: ['80/8=10']
Exploring Operation: 20+10=30, Resulting Numbers: [6, 30]
Generated Node #0,0,0: 90:[6, 30] Operation: 20+10=30
Exploring Operation: 20-10=10, Resulting Numbers: [6, 10]
Generated Node #0,0,1: 90:[6, 10] Operation: 20-10=10
Moving to Node #0,1
Current State: 90:[8, 6, 4], Operations: ['80/20=4']
Exploring Operation: 8-6=2, Resulting Numbers: [4, 2]
Generated Node #0,1,0: 90:[4, 2] Operation: 8-6=2
Exploring Operation: 8/4=2, Resulting Numbers: [6, 2]
Generated Node #0,1,1: 90:[6, 2] Operation: 8/4=2
Moving to Node #0,0,0
Current State: 90:[6, 30], Operations: ['80/8=10', '20+10=30']
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,90 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[6, 2], Operations: ['80/20=4', '8/4=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,90 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[6, 10], Operations: ['80/8=10', '20-10=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[4, 2], Operations: ['80/20=4', '8-6=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,90 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,90 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
29,
23,
10,
66
] | 58 | [
"29*66=1914",
"23+10=33",
"1914/33=58"
] | Current State: 58:[29, 23, 10, 66], Operations: []
Exploring Operation: 29*66=1914, Resulting Numbers: [23, 10, 1914]
Generated Node #2: [23, 10, 1914] from Operation: 29*66=1914
Current State: 58:[23, 10, 1914], Operations: ['29*66=1914']
Exploring Operation: 23+10=33, Resulting Numbers: [1914, 33]
Generated Node #3: [1914, 33] from Operation: 23+10=33
Current State: 58:[1914, 33], Operations: ['29*66=1914', '23+10=33']
Exploring Operation: 1914/33=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[29, 23, 10, 66], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [29, 23, 56]
Generated Node #0,0: 58:[29, 23, 56] Operation: 66-10=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[29, 23, 56], Operations: ['66-10=56']
Exploring Operation: 56-23=33, Resulting Numbers: [29, 33]
Generated Node #0,0,0: 58:[29, 33] Operation: 56-23=33
Moving to Node #0,0,0
Current State: 58:[29, 33], Operations: ['66-10=56', '56-23=33']
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,58 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 |
[
6,
3,
51,
48
] | 36 | [
"3+51=54",
"54-48=6",
"6*6=36"
] | Current State: 36:[6, 3, 51, 48], Operations: []
Exploring Operation: 3+51=54, Resulting Numbers: [6, 48, 54]
Generated Node #2: [6, 48, 54] from Operation: 3+51=54
Current State: 36:[6, 48, 54], Operations: ['3+51=54']
Exploring Operation: 54-48=6, Resulting Numbers: [6, 6]
Generated Node #3: [6, 6] from Operation: 54-48=6
Current State: 36:[6, 6], Operations: ['3+51=54', '54-48=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[6, 3, 51, 48], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [6, 48, 17]
Generated Node #0,0: 36:[6, 48, 17] Operation: 51/3=17
Exploring Operation: 51-48=3, Resulting Numbers: [6, 3, 3]
Generated Node #0,1: 36:[6, 3, 3] Operation: 51-48=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[6, 3, 3], Operations: ['51-48=3']
Exploring Operation: 6*3=18, Resulting Numbers: [3, 18]
Generated Node #0,1,0: 36:[3, 18] Operation: 6*3=18
Exploring Operation: 6+3=9, Resulting Numbers: [3, 9]
Generated Node #0,1,1: 36:[3, 9] Operation: 6+3=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[3, 18], Operations: ['51-48=3', '6*3=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,36 unequal: No Solution
No 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: 36:[3, 9], Operations: ['51-48=3', '6+3=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,36 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: 36:[6, 48, 17], Operations: ['51/3=17']
Exploring Operation: 48/6=8, Resulting Numbers: [17, 8]
Generated Node #0,0,0: 36:[17, 8] Operation: 48/6=8
Exploring Operation: 48-17=31, Resulting Numbers: [6, 31]
Generated Node #0,0,1: 36:[6, 31] Operation: 48-17=31
Moving to Node #0,0,0
Current State: 36:[17, 8], Operations: ['51/3=17', '48/6=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,36 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[6, 31], Operations: ['51/3=17', '48-17=31']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,36 unequal: No Solution
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
14,
8,
54,
19
] | 39 | [
"14*8=112",
"54+19=73",
"112-73=39"
] | Current State: 39:[14, 8, 54, 19], Operations: []
Exploring Operation: 14*8=112, Resulting Numbers: [54, 19, 112]
Generated Node #2: [54, 19, 112] from Operation: 14*8=112
Current State: 39:[54, 19, 112], Operations: ['14*8=112']
Exploring Operation: 54+19=73, Resulting Numbers: [112, 73]
Generated Node #3: [112, 73] from Operation: 54+19=73
Current State: 39:[112, 73], Operations: ['14*8=112', '54+19=73']
Exploring Operation: 112-73=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[14, 8, 54, 19], Operations: []
Exploring Operation: 54-19=35, Resulting Numbers: [14, 8, 35]
Generated Node #0,0: 39:[14, 8, 35] Operation: 54-19=35
Exploring Operation: 54-14=40, Resulting Numbers: [8, 19, 40]
Generated Node #0,1: 39:[8, 19, 40] Operation: 54-14=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[14, 8, 35], Operations: ['54-19=35']
Exploring Operation: 8+35=43, Resulting Numbers: [14, 43]
Generated Node #0,0,0: 39:[14, 43] Operation: 8+35=43
Exploring Operation: 14-8=6, Resulting Numbers: [35, 6]
Generated Node #0,0,1: 39:[35, 6] Operation: 14-8=6
Moving to Node #0,0,0
Current State: 39:[14, 43], Operations: ['54-19=35', '8+35=43']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,39 unequal: No Solution
Exploring Operation: 14+43=57, Resulting Numbers: [57]
57,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[35, 6], Operations: ['54-19=35', '14-8=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,39 unequal: No Solution
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,39 unequal: No Solution
No 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: 39:[8, 19, 40], Operations: ['54-14=40']
Exploring Operation: 40/8=5, Resulting Numbers: [19, 5]
Generated Node #0,1,0: 39:[19, 5] Operation: 40/8=5
Exploring Operation: 19-8=11, Resulting Numbers: [40, 11]
Generated Node #0,1,1: 39:[40, 11] Operation: 19-8=11
Moving to Node #0,1,1
Current State: 39:[40, 11], Operations: ['54-14=40', '19-8=11']
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[19, 5], Operations: ['54-14=40', '40/8=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,39 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 |
[
69,
44,
70,
20
] | 23 | [
"69+44=113",
"70+20=90",
"113-90=23"
] | Current State: 23:[69, 44, 70, 20], Operations: []
Exploring Operation: 69+44=113, Resulting Numbers: [70, 20, 113]
Generated Node #2: [70, 20, 113] from Operation: 69+44=113
Current State: 23:[70, 20, 113], Operations: ['69+44=113']
Exploring Operation: 70+20=90, Resulting Numbers: [113, 90]
Generated Node #3: [113, 90] from Operation: 70+20=90
Current State: 23:[113, 90], Operations: ['69+44=113', '70+20=90']
Exploring Operation: 113-90=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[69, 44, 70, 20], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [69, 70, 24]
Generated Node #0,0: 23:[69, 70, 24] Operation: 44-20=24
Exploring Operation: 70-44=26, Resulting Numbers: [69, 20, 26]
Generated Node #0,1: 23:[69, 20, 26] Operation: 70-44=26
Exploring Operation: 69-20=49, Resulting Numbers: [44, 70, 49]
Generated Node #0,2: 23:[44, 70, 49] Operation: 69-20=49
Exploring Operation: 70-69=1, Resulting Numbers: [44, 20, 1]
Generated Node #0,3: 23:[44, 20, 1] Operation: 70-69=1
Exploring Operation: 69-44=25, Resulting Numbers: [70, 20, 25]
Generated Node #0,4: 23:[70, 20, 25] Operation: 69-44=25
Moving to Node #0,3
Current State: 23:[44, 20, 1], Operations: ['70-69=1']
Exploring Operation: 44/1=44, Resulting Numbers: [20, 44]
Generated Node #0,3,0: 23:[20, 44] Operation: 44/1=44
Exploring Operation: 20+1=21, Resulting Numbers: [44, 21]
Generated Node #0,3,1: 23:[44, 21] Operation: 20+1=21
Exploring Operation: 44-20=24, Resulting Numbers: [1, 24]
Generated Node #0,3,2: 23:[1, 24] Operation: 44-20=24
Exploring Operation: 44*1=44, Resulting Numbers: [20, 44]
Generated Node #0,3,3: 23:[20, 44] Operation: 44*1=44
Exploring Operation: 44-1=43, Resulting Numbers: [20, 43]
Generated Node #0,3,4: 23:[20, 43] Operation: 44-1=43
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 23:[44, 21], Operations: ['70-69=1', '20+1=21']
Exploring Operation: 44+21=65, Resulting Numbers: [65]
65,23 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[69, 44, 70, 20], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [44, 20, 1]
Generated Node #0,3: 23:[44, 20, 1] Operation: 70-69=1
Moving to Node #0,3
Current State: 23:[44, 20, 1], Operations: ['70-69=1']
Exploring Operation: 20+1=21, Resulting Numbers: [44, 21]
Generated Node #0,3,1: 23:[44, 21] Operation: 20+1=21
Moving to Node #0,3,1
Current State: 23:[44, 21], Operations: ['70-69=1', '20+1=21']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
53,
32,
67,
6
] | 59 | [
"53-32=21",
"6*21=126",
"126-67=59"
] | Current State: 59:[53, 32, 67, 6], Operations: []
Exploring Operation: 53-32=21, Resulting Numbers: [67, 6, 21]
Generated Node #2: [67, 6, 21] from Operation: 53-32=21
Current State: 59:[67, 6, 21], Operations: ['53-32=21']
Exploring Operation: 6*21=126, Resulting Numbers: [67, 126]
Generated Node #3: [67, 126] from Operation: 6*21=126
Current State: 59:[67, 126], Operations: ['53-32=21', '6*21=126']
Exploring Operation: 126-67=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[53, 32, 67, 6], Operations: []
Exploring Operation: 67-6=61, Resulting Numbers: [53, 32, 61]
Generated Node #0,0: 59:[53, 32, 61] Operation: 67-6=61
Exploring Operation: 53+6=59, Resulting Numbers: [32, 67, 59]
Generated Node #0,1: 59:[32, 67, 59] Operation: 53+6=59
Exploring Operation: 53-6=47, Resulting Numbers: [32, 67, 47]
Generated Node #0,2: 59:[32, 67, 47] Operation: 53-6=47
Exploring Operation: 32+6=38, Resulting Numbers: [53, 67, 38]
Generated Node #0,3: 59:[53, 67, 38] Operation: 32+6=38
Moving to Node #0,0
Current State: 59:[53, 32, 61], Operations: ['67-6=61']
Exploring Operation: 53+32=85, Resulting Numbers: [61, 85]
Generated Node #0,0,0: 59:[61, 85] Operation: 53+32=85
Exploring Operation: 32+61=93, Resulting Numbers: [53, 93]
Generated Node #0,0,1: 59:[53, 93] Operation: 32+61=93
Exploring Operation: 61-32=29, Resulting Numbers: [53, 29]
Generated Node #0,0,2: 59:[53, 29] Operation: 61-32=29
Exploring Operation: 53-32=21, Resulting Numbers: [61, 21]
Generated Node #0,0,3: 59:[61, 21] Operation: 53-32=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[61, 85], Operations: ['67-6=61', '53+32=85']
Exploring Operation: 61+85=146, Resulting Numbers: [146]
146,59 unequal: No Solution
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 61*85=5185, Resulting Numbers: [5185]
5185,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[53, 29], Operations: ['67-6=61', '61-32=29']
Exploring Operation: 53*29=1537, Resulting Numbers: [1537]
1537,59 unequal: No Solution
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[53, 93], Operations: ['67-6=61', '32+61=93']
Exploring Operation: 53*93=4929, Resulting Numbers: [4929]
4929,59 unequal: No Solution
Exploring Operation: 93-53=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 53+93=146, Resulting Numbers: [146]
146,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[61, 21], Operations: ['67-6=61', '53-32=21']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 61+21=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 61*21=1281, Resulting Numbers: [1281]
1281,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 59:[53, 67, 38], Operations: ['32+6=38']
Exploring Operation: 53+38=91, Resulting Numbers: [67, 91]
Generated Node #0,3,0: 59:[67, 91] Operation: 53+38=91
Exploring Operation: 67+38=105, Resulting Numbers: [53, 105]
Generated Node #0,3,1: 59:[53, 105] Operation: 67+38=105
Exploring Operation: 67-38=29, Resulting Numbers: [53, 29]
Generated Node #0,3,2: 59:[53, 29] Operation: 67-38=29
Exploring Operation: 53-38=15, Resulting Numbers: [67, 15]
Generated Node #0,3,3: 59:[67, 15] Operation: 53-38=15
Moving to Node #0,1
Current State: 59:[32, 67, 59], Operations: ['53+6=59']
Exploring Operation: 67-32=35, Resulting Numbers: [59, 35]
Generated Node #0,1,0: 59:[59, 35] Operation: 67-32=35
Exploring Operation: 32+67=99, Resulting Numbers: [59, 99]
Generated Node #0,1,1: 59:[59, 99] Operation: 32+67=99
Exploring Operation: 32+59=91, Resulting Numbers: [67, 91]
Generated Node #0,1,2: 59:[67, 91] Operation: 32+59=91
Exploring Operation: 59-32=27, Resulting Numbers: [67, 27]
Generated Node #0,1,3: 59:[67, 27] Operation: 59-32=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[59, 35], Operations: ['53+6=59', '67-32=35']
Exploring Operation: 59*35=2065, Resulting Numbers: [2065]
2065,59 unequal: No Solution
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 59-35=24, Resulting Numbers: [24]
24,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[59, 99], Operations: ['53+6=59', '32+67=99']
Exploring Operation: 59+99=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 99-59=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 59*99=5841, Resulting Numbers: [5841]
5841,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[67, 91], Operations: ['53+6=59', '32+59=91']
Exploring Operation: 67*91=6097, Resulting Numbers: [6097]
6097,59 unequal: No Solution
Exploring Operation: 91-67=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 67+91=158, Resulting Numbers: [158]
158,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 59:[67, 27], Operations: ['53+6=59', '59-32=27']
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 67*27=1809, Resulting Numbers: [1809]
1809,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 59:[32, 67, 47], Operations: ['53-6=47']
Exploring Operation: 32+47=79, Resulting Numbers: [67, 79]
Generated Node #0,2,0: 59:[67, 79] Operation: 32+47=79
Exploring Operation: 32+67=99, Resulting Numbers: [47, 99]
Generated Node #0,2,1: 59:[47, 99] Operation: 32+67=99
Exploring Operation: 47-32=15, Resulting Numbers: [67, 15]
Generated Node #0,2,2: 59:[67, 15] Operation: 47-32=15
Exploring Operation: 67-32=35, Resulting Numbers: [47, 35]
Generated Node #0,2,3: 59:[47, 35] Operation: 67-32=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[67, 79], Operations: ['53-6=47', '32+47=79']
Exploring Operation: 67*79=5293, Resulting Numbers: [5293]
5293,59 unequal: No Solution
Exploring Operation: 67+79=146, Resulting Numbers: [146]
146,59 unequal: No Solution
Exploring Operation: 79-67=12, Resulting Numbers: [12]
12,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[47, 35], Operations: ['53-6=47', '67-32=35']
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 47*35=1645, Resulting Numbers: [1645]
1645,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[47, 99], Operations: ['53-6=47', '32+67=99']
Exploring Operation: 47+99=146, Resulting Numbers: [146]
146,59 unequal: No Solution
Exploring Operation: 47*99=4653, Resulting Numbers: [4653]
4653,59 unequal: No Solution
Exploring Operation: 99-47=52, Resulting Numbers: [52]
52,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[67, 15], Operations: ['53-6=47', '47-32=15']
Exploring Operation: 67*15=1005, Resulting Numbers: [1005]
1005,59 unequal: No Solution
Exploring Operation: 67+15=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 59:[53, 29], Operations: ['32+6=38', '67-38=29']
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 53*29=1537, Resulting Numbers: [1537]
1537,59 unequal: No Solution
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[67, 91], Operations: ['32+6=38', '53+38=91']
Exploring Operation: 91-67=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 67+91=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 67*91=6097, Resulting Numbers: [6097]
6097,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[67, 15], Operations: ['32+6=38', '53-38=15']
Exploring Operation: 67*15=1005, Resulting Numbers: [1005]
1005,59 unequal: No Solution
Exploring Operation: 67+15=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[53, 105], Operations: ['32+6=38', '67+38=105']
Exploring Operation: 53*105=5565, Resulting Numbers: [5565]
5565,59 unequal: No Solution
Exploring Operation: 53+105=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 105-53=52, Resulting Numbers: [52]
52,59 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
69,
48,
17,
41
] | 37 | [
"69-48=21",
"17+41=58",
"58-21=37"
] | Current State: 37:[69, 48, 17, 41], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [17, 41, 21]
Generated Node #2: [17, 41, 21] from Operation: 69-48=21
Current State: 37:[17, 41, 21], Operations: ['69-48=21']
Exploring Operation: 17+41=58, Resulting Numbers: [21, 58]
Generated Node #3: [21, 58] from Operation: 17+41=58
Current State: 37:[21, 58], Operations: ['69-48=21', '17+41=58']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[69, 48, 17, 41], Operations: []
Exploring Operation: 69-41=28, Resulting Numbers: [48, 17, 28]
Generated Node #0,0: 37:[48, 17, 28] Operation: 69-41=28
Exploring Operation: 69-17=52, Resulting Numbers: [48, 41, 52]
Generated Node #0,1: 37:[48, 41, 52] Operation: 69-17=52
Exploring Operation: 48-17=31, Resulting Numbers: [69, 41, 31]
Generated Node #0,2: 37:[69, 41, 31] Operation: 48-17=31
Exploring Operation: 69-48=21, Resulting Numbers: [17, 41, 21]
Generated Node #0,3: 37:[17, 41, 21] Operation: 69-48=21
Exploring Operation: 41-17=24, Resulting Numbers: [69, 48, 24]
Generated Node #0,4: 37:[69, 48, 24] Operation: 41-17=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[48, 41, 52], Operations: ['69-17=52']
Exploring Operation: 48+41=89, Resulting Numbers: [52, 89]
Generated Node #0,1,0: 37:[52, 89] Operation: 48+41=89
Exploring Operation: 52-48=4, Resulting Numbers: [41, 4]
Generated Node #0,1,1: 37:[41, 4] Operation: 52-48=4
Exploring Operation: 48+52=100, Resulting Numbers: [41, 100]
Generated Node #0,1,2: 37:[41, 100] Operation: 48+52=100
Exploring Operation: 52-41=11, Resulting Numbers: [48, 11]
Generated Node #0,1,3: 37:[48, 11] Operation: 52-41=11
Exploring Operation: 48-41=7, Resulting Numbers: [52, 7]
Generated Node #0,1,4: 37:[52, 7] Operation: 48-41=7
Moving to Node #0,1,1
Current State: 37:[41, 4], Operations: ['69-17=52', '52-48=4']
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,37 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,37 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[69, 48, 17, 41], Operations: []
Exploring Operation: 69-17=52, Resulting Numbers: [48, 41, 52]
Generated Node #0,1: 37:[48, 41, 52] Operation: 69-17=52
Moving to Node #0,1
Current State: 37:[48, 41, 52], Operations: ['69-17=52']
Exploring Operation: 52-48=4, Resulting Numbers: [41, 4]
Generated Node #0,1,1: 37:[41, 4] Operation: 52-48=4
Moving to Node #0,1,1
Current State: 37:[41, 4], Operations: ['69-17=52', '52-48=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
99,
48,
45,
9
] | 96 | [
"99-9=90",
"48*90=4320",
"4320/45=96"
] | Current State: 96:[99, 48, 45, 9], Operations: []
Exploring Operation: 99-9=90, Resulting Numbers: [48, 45, 90]
Generated Node #2: [48, 45, 90] from Operation: 99-9=90
Current State: 96:[48, 45, 90], Operations: ['99-9=90']
Exploring Operation: 48*90=4320, Resulting Numbers: [45, 4320]
Generated Node #3: [45, 4320] from Operation: 48*90=4320
Current State: 96:[45, 4320], Operations: ['99-9=90', '48*90=4320']
Exploring Operation: 4320/45=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[99, 48, 45, 9], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [99, 9, 3]
Generated Node #0,0: 96:[99, 9, 3] Operation: 48-45=3
Exploring Operation: 45/9=5, Resulting Numbers: [99, 48, 5]
Generated Node #0,1: 96:[99, 48, 5] Operation: 45/9=5
Exploring Operation: 99/9=11, Resulting Numbers: [48, 45, 11]
Generated Node #0,2: 96:[48, 45, 11] Operation: 99/9=11
Exploring Operation: 99-48=51, Resulting Numbers: [45, 9, 51]
Generated Node #0,3: 96:[45, 9, 51] Operation: 99-48=51
Moving to Node #0,0
Current State: 96:[99, 9, 3], Operations: ['48-45=3']
Exploring Operation: 99/3=33, Resulting Numbers: [9, 33]
Generated Node #0,0,0: 96:[9, 33] Operation: 99/3=33
Exploring Operation: 9+3=12, Resulting Numbers: [99, 12]
Generated Node #0,0,1: 96:[99, 12] Operation: 9+3=12
Exploring Operation: 99/9=11, Resulting Numbers: [3, 11]
Generated Node #0,0,2: 96:[3, 11] Operation: 99/9=11
Exploring Operation: 99-3=96, Resulting Numbers: [9, 96]
Generated Node #0,0,3: 96:[9, 96] Operation: 99-3=96
Moving to Node #0,2
Current State: 96:[48, 45, 11], Operations: ['99/9=11']
Exploring Operation: 48-11=37, Resulting Numbers: [45, 37]
Generated Node #0,2,0: 96:[45, 37] Operation: 48-11=37
Exploring Operation: 48-45=3, Resulting Numbers: [11, 3]
Generated Node #0,2,1: 96:[11, 3] Operation: 48-45=3
Exploring Operation: 48+45=93, Resulting Numbers: [11, 93]
Generated Node #0,2,2: 96:[11, 93] Operation: 48+45=93
Exploring Operation: 45-11=34, Resulting Numbers: [48, 34]
Generated Node #0,2,3: 96:[48, 34] Operation: 45-11=34
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 96:[11, 3], Operations: ['99/9=11', '48-45=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,96 unequal: No Solution
No 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: 96:[48, 34], Operations: ['99/9=11', '45-11=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,96 unequal: No Solution
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 48*34=1632, Resulting Numbers: [1632]
1632,96 unequal: No Solution
No 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: 96:[11, 93], Operations: ['99/9=11', '48+45=93']
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,96 unequal: No Solution
Exploring Operation: 11+93=104, Resulting Numbers: [104]
104,96 unequal: No Solution
Exploring Operation: 11*93=1023, Resulting Numbers: [1023]
1023,96 unequal: No Solution
No 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: 96:[45, 37], Operations: ['99/9=11', '48-11=37']
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Exploring Operation: 45*37=1665, Resulting Numbers: [1665]
1665,96 unequal: No Solution
Exploring Operation: 45+37=82, Resulting Numbers: [82]
82,96 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: 96:[99, 48, 5], Operations: ['45/9=5']
Exploring Operation: 99-5=94, Resulting Numbers: [48, 94]
Generated Node #0,1,0: 96:[48, 94] Operation: 99-5=94
Exploring Operation: 99+5=104, Resulting Numbers: [48, 104]
Generated Node #0,1,1: 96:[48, 104] Operation: 99+5=104
Exploring Operation: 99-48=51, Resulting Numbers: [5, 51]
Generated Node #0,1,2: 96:[5, 51] Operation: 99-48=51
Exploring Operation: 48+5=53, Resulting Numbers: [99, 53]
Generated Node #0,1,3: 96:[99, 53] Operation: 48+5=53
Moving to Node #0,3
Current State: 96:[45, 9, 51], Operations: ['99-48=51']
Exploring Operation: 45-9=36, Resulting Numbers: [51, 36]
Generated Node #0,3,0: 96:[51, 36] Operation: 45-9=36
Exploring Operation: 45/9=5, Resulting Numbers: [51, 5]
Generated Node #0,3,1: 96:[51, 5] Operation: 45/9=5
Exploring Operation: 45+51=96, Resulting Numbers: [9, 96]
Generated Node #0,3,2: 96:[9, 96] Operation: 45+51=96
Exploring Operation: 51-45=6, Resulting Numbers: [9, 6]
Generated Node #0,3,3: 96:[9, 6] Operation: 51-45=6
Moving to Node #0,0,2
Current State: 96:[3, 11], Operations: ['48-45=3', '99/9=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,96 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Moving to Node #0,0,3
Current State: 96:[9, 96], Operations: ['48-45=3', '99-3=96']
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,96 unequal: No Solution
Exploring Operation: 9*96=864, Resulting Numbers: [864]
864,96 unequal: No Solution
Exploring Operation: 9+96=105, Resulting Numbers: [105]
105,96 unequal: No Solution
Moving to Node #0,3,3
Current State: 96:[9, 6], Operations: ['99-48=51', '51-45=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,96 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Moving to Node #0,3,2
Current State: 96:[9, 96], Operations: ['99-48=51', '45+51=96']
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,96 unequal: No Solution
Exploring Operation: 9+96=105, Resulting Numbers: [105]
105,96 unequal: No Solution
Exploring Operation: 9*96=864, Resulting Numbers: [864]
864,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[9, 33], Operations: ['48-45=3', '99/3=33']
Exploring Operation: 9*33=297, Resulting Numbers: [297]
297,96 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[48, 94], Operations: ['45/9=5', '99-5=94']
Exploring Operation: 48*94=4512, Resulting Numbers: [4512]
4512,96 unequal: No Solution
Exploring Operation: 94-48=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 48+94=142, Resulting Numbers: [142]
142,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[99, 12], Operations: ['48-45=3', '9+3=12']
Exploring Operation: 99*12=1188, Resulting Numbers: [1188]
1188,96 unequal: No Solution
Exploring Operation: 99+12=111, Resulting Numbers: [111]
111,96 unequal: No Solution
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[5, 51], Operations: ['45/9=5', '99-48=51']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 5*51=255, Resulting Numbers: [255]
255,96 unequal: No Solution
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Moving to Node #0,3,1
Current State: 96:[51, 5], Operations: ['99-48=51', '45/9=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 51*5=255, Resulting Numbers: [255]
255,96 unequal: No Solution
Moving to Node #0,3,0
Current State: 96:[51, 36], Operations: ['99-48=51', '45-9=36']
Exploring Operation: 51*36=1836, Resulting Numbers: [1836]
1836,96 unequal: No Solution
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 51+36=87, Resulting Numbers: [87]
87,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[99, 53], Operations: ['45/9=5', '48+5=53']
Exploring Operation: 99-53=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 99+53=152, Resulting Numbers: [152]
152,96 unequal: No Solution
Exploring Operation: 99*53=5247, Resulting Numbers: [5247]
5247,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[48, 104], Operations: ['45/9=5', '99+5=104']
Exploring Operation: 48*104=4992, Resulting Numbers: [4992]
4992,96 unequal: No Solution
Exploring Operation: 104-48=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 48+104=152, Resulting Numbers: [152]
152,96 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
56,
80,
1,
62
] | 86 | [
"80-56=24",
"1*62=62",
"24+62=86"
] | Current State: 86:[56, 80, 1, 62], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [1, 62, 24]
Generated Node #2: [1, 62, 24] from Operation: 80-56=24
Current State: 86:[1, 62, 24], Operations: ['80-56=24']
Exploring Operation: 1*62=62, Resulting Numbers: [24, 62]
Generated Node #3: [24, 62] from Operation: 1*62=62
Current State: 86:[24, 62], Operations: ['80-56=24', '1*62=62']
Exploring Operation: 24+62=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[56, 80, 1, 62], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [80, 1, 6]
Generated Node #0,0: 86:[80, 1, 6] Operation: 62-56=6
Moving to Node #0,0
Current State: 86:[80, 1, 6], Operations: ['62-56=6']
Exploring Operation: 80+6=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 86:[1, 86] Operation: 80+6=86
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[1, 86], Operations: ['62-56=6', '80+6=86']
Exploring Operation: 1*86=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[56, 80, 1, 62], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [80, 1, 6]
Generated Node #0,0: 86:[80, 1, 6] Operation: 62-56=6
Moving to Node #0,0
Current State: 86:[80, 1, 6], Operations: ['62-56=6']
Exploring Operation: 80+6=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 86:[1, 86] Operation: 80+6=86
Moving to Node #0,0,0
Current State: 86:[1, 86], Operations: ['62-56=6', '80+6=86']
Exploring Operation: 1*86=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
94,
17,
91,
81
] | 61 | [
"94+17=111",
"91+81=172",
"172-111=61"
] | Current State: 61:[94, 17, 91, 81], Operations: []
Exploring Operation: 94+17=111, Resulting Numbers: [91, 81, 111]
Generated Node #2: [91, 81, 111] from Operation: 94+17=111
Current State: 61:[91, 81, 111], Operations: ['94+17=111']
Exploring Operation: 91+81=172, Resulting Numbers: [111, 172]
Generated Node #3: [111, 172] from Operation: 91+81=172
Current State: 61:[111, 172], Operations: ['94+17=111', '91+81=172']
Exploring Operation: 172-111=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[94, 17, 91, 81], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [91, 81, 77]
Generated Node #0,0: 61:[91, 81, 77] Operation: 94-17=77
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[91, 81, 77], Operations: ['94-17=77']
Exploring Operation: 91-81=10, Resulting Numbers: [77, 10]
Generated Node #0,0,0: 61:[77, 10] Operation: 91-81=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[77, 10], Operations: ['94-17=77', '91-81=10']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
14,
28,
56,
39
] | 11 | [
"28/14=2",
"56/2=28",
"39-28=11"
] | Current State: 11:[14, 28, 56, 39], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [56, 39, 2]
Generated Node #2: [56, 39, 2] from Operation: 28/14=2
Current State: 11:[56, 39, 2], Operations: ['28/14=2']
Exploring Operation: 56/2=28, Resulting Numbers: [39, 28]
Generated Node #3: [39, 28] from Operation: 56/2=28
Current State: 11:[39, 28], Operations: ['28/14=2', '56/2=28']
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[14, 28, 56, 39], Operations: []
Exploring Operation: 56-28=28, Resulting Numbers: [14, 39, 28]
Generated Node #0,0: 11:[14, 39, 28] Operation: 56-28=28
Exploring Operation: 39-28=11, Resulting Numbers: [14, 56, 11]
Generated Node #0,1: 11:[14, 56, 11] Operation: 39-28=11
Exploring Operation: 56-39=17, Resulting Numbers: [14, 28, 17]
Generated Node #0,2: 11:[14, 28, 17] Operation: 56-39=17
Exploring Operation: 56/28=2, Resulting Numbers: [14, 39, 2]
Generated Node #0,3: 11:[14, 39, 2] Operation: 56/28=2
Moving to Node #0,2
Current State: 11:[14, 28, 17], Operations: ['56-39=17']
Exploring Operation: 28-14=14, Resulting Numbers: [17, 14]
Generated Node #0,2,0: 11:[17, 14] Operation: 28-14=14
Exploring Operation: 28-17=11, Resulting Numbers: [14, 11]
Generated Node #0,2,1: 11:[14, 11] Operation: 28-17=11
Exploring Operation: 17-14=3, Resulting Numbers: [28, 3]
Generated Node #0,2,2: 11:[28, 3] Operation: 17-14=3
Exploring Operation: 28/14=2, Resulting Numbers: [17, 2]
Generated Node #0,2,3: 11:[17, 2] Operation: 28/14=2
Moving to Node #0,3
Current State: 11:[14, 39, 2], Operations: ['56/28=2']
Exploring Operation: 39-2=37, Resulting Numbers: [14, 37]
Generated Node #0,3,0: 11:[14, 37] Operation: 39-2=37
Exploring Operation: 14-2=12, Resulting Numbers: [39, 12]
Generated Node #0,3,1: 11:[39, 12] Operation: 14-2=12
Exploring Operation: 14/2=7, Resulting Numbers: [39, 7]
Generated Node #0,3,2: 11:[39, 7] Operation: 14/2=7
Exploring Operation: 39-14=25, Resulting Numbers: [2, 25]
Generated Node #0,3,3: 11:[2, 25] Operation: 39-14=25
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[2, 25], Operations: ['56/28=2', '39-14=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[14, 37], Operations: ['56/28=2', '39-2=37']
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,11 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[39, 12], Operations: ['56/28=2', '14-2=12']
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 39+12=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Exploring Operation: 39*12=468, Resulting Numbers: [468]
468,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[39, 7], Operations: ['56/28=2', '14/2=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,11 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 11:[14, 56, 11], Operations: ['39-28=11']
Exploring Operation: 56-14=42, Resulting Numbers: [11, 42]
Generated Node #0,1,0: 11:[11, 42] Operation: 56-14=42
Exploring Operation: 56/14=4, Resulting Numbers: [11, 4]
Generated Node #0,1,1: 11:[11, 4] Operation: 56/14=4
Exploring Operation: 14-11=3, Resulting Numbers: [56, 3]
Generated Node #0,1,2: 11:[56, 3] Operation: 14-11=3
Exploring Operation: 56-11=45, Resulting Numbers: [14, 45]
Generated Node #0,1,3: 11:[14, 45] Operation: 56-11=45
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[11, 4], Operations: ['39-28=11', '56/14=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[11, 42], Operations: ['39-28=11', '56-14=42']
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,11 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 11:[14, 45], Operations: ['39-28=11', '56-11=45']
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,11 unequal: No Solution
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,11 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[56, 3], Operations: ['39-28=11', '14-11=3']
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,11 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 56*3=168, Resulting Numbers: [168]
168,11 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: 11:[14, 39, 28], Operations: ['56-28=28']
Exploring Operation: 39-14=25, Resulting Numbers: [28, 25]
Generated Node #0,0,0: 11:[28, 25] Operation: 39-14=25
Exploring Operation: 28/14=2, Resulting Numbers: [39, 2]
Generated Node #0,0,1: 11:[39, 2] Operation: 28/14=2
Exploring Operation: 28-14=14, Resulting Numbers: [39, 14]
Generated Node #0,0,2: 11:[39, 14] Operation: 28-14=14
Exploring Operation: 39-28=11, Resulting Numbers: [14, 11]
Generated Node #0,0,3: 11:[14, 11] Operation: 39-28=11
Moving to Node #0,2,1
Current State: 11:[14, 11], Operations: ['56-39=17', '28-17=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,11 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[14, 11], Operations: ['56-28=28', '39-28=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,11 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[17, 14], Operations: ['56-39=17', '28-14=14']
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,11 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[17, 2], Operations: ['56-39=17', '28/14=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[28, 3], Operations: ['56-39=17', '17-14=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,11 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[28, 25], Operations: ['56-28=28', '39-14=25']
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[39, 14], Operations: ['56-28=28', '28-14=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[39, 2], Operations: ['56-28=28', '28/14=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,11 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,11 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
31,
87,
49,
2
] | 77 | [
"87-31=56",
"56/2=28",
"49+28=77"
] | Current State: 77:[31, 87, 49, 2], Operations: []
Exploring Operation: 87-31=56, Resulting Numbers: [49, 2, 56]
Generated Node #2: [49, 2, 56] from Operation: 87-31=56
Current State: 77:[49, 2, 56], Operations: ['87-31=56']
Exploring Operation: 56/2=28, Resulting Numbers: [49, 28]
Generated Node #3: [49, 28] from Operation: 56/2=28
Current State: 77:[49, 28], Operations: ['87-31=56', '56/2=28']
Exploring Operation: 49+28=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[31, 87, 49, 2], Operations: []
Exploring Operation: 49-31=18, Resulting Numbers: [87, 2, 18]
Generated Node #0,0: 77:[87, 2, 18] Operation: 49-31=18
Exploring Operation: 49*2=98, Resulting Numbers: [31, 87, 98]
Generated Node #0,1: 77:[31, 87, 98] Operation: 49*2=98
Exploring Operation: 31*2=62, Resulting Numbers: [87, 49, 62]
Generated Node #0,2: 77:[87, 49, 62] Operation: 31*2=62
Exploring Operation: 31+49=80, Resulting Numbers: [87, 2, 80]
Generated Node #0,3: 77:[87, 2, 80] Operation: 31+49=80
Exploring Operation: 87-49=38, Resulting Numbers: [31, 2, 38]
Generated Node #0,4: 77:[31, 2, 38] Operation: 87-49=38
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[87, 2, 80], Operations: ['31+49=80']
Exploring Operation: 80-2=78, Resulting Numbers: [87, 78]
Generated Node #0,3,0: 77:[87, 78] Operation: 80-2=78
Exploring Operation: 87+2=89, Resulting Numbers: [80, 89]
Generated Node #0,3,1: 77:[80, 89] Operation: 87+2=89
Exploring Operation: 2+80=82, Resulting Numbers: [87, 82]
Generated Node #0,3,2: 77:[87, 82] Operation: 2+80=82
Exploring Operation: 87-80=7, Resulting Numbers: [2, 7]
Generated Node #0,3,3: 77:[2, 7] Operation: 87-80=7
Exploring Operation: 87-2=85, Resulting Numbers: [80, 85]
Generated Node #0,3,4: 77:[80, 85] Operation: 87-2=85
Moving to Node #0,3,3
Current State: 77:[2, 7], Operations: ['31+49=80', '87-80=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,77 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Moving to Node #0,3,4
Current State: 77:[80, 85], Operations: ['31+49=80', '87-2=85']
Exploring Operation: 80*85=6800, Resulting Numbers: [6800]
6800,77 unequal: No Solution
Exploring Operation: 85-80=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 80+85=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[87, 78], Operations: ['31+49=80', '80-2=78']
Exploring Operation: 87+78=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Exploring Operation: 87*78=6786, Resulting Numbers: [6786]
6786,77 unequal: No Solution
Exploring Operation: 87-78=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Moving to Node #0,3,1
Current State: 77:[80, 89], Operations: ['31+49=80', '87+2=89']
Exploring Operation: 89-80=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 80+89=169, Resulting Numbers: [169]
169,77 unequal: No Solution
Exploring Operation: 80*89=7120, Resulting Numbers: [7120]
7120,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[87, 82], Operations: ['31+49=80', '2+80=82']
Exploring Operation: 87*82=7134, Resulting Numbers: [7134]
7134,77 unequal: No Solution
Exploring Operation: 87-82=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 87+82=169, Resulting Numbers: [169]
169,77 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
Current State: 77:[87, 2, 18], Operations: ['49-31=18']
Exploring Operation: 87-18=69, Resulting Numbers: [2, 69]
Generated Node #0,0,0: 77:[2, 69] Operation: 87-18=69
Exploring Operation: 87-2=85, Resulting Numbers: [18, 85]
Generated Node #0,0,1: 77:[18, 85] Operation: 87-2=85
Exploring Operation: 18-2=16, Resulting Numbers: [87, 16]
Generated Node #0,0,2: 77:[87, 16] Operation: 18-2=16
Exploring Operation: 18/2=9, Resulting Numbers: [87, 9]
Generated Node #0,0,3: 77:[87, 9] Operation: 18/2=9
Exploring Operation: 87+2=89, Resulting Numbers: [18, 89]
Generated Node #0,0,4: 77:[18, 89] Operation: 87+2=89
Moving to Node #0,0,3
Current State: 77:[87, 9], Operations: ['49-31=18', '18/2=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,77 unequal: No Solution
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 87*9=783, Resulting Numbers: [783]
783,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[2, 69], Operations: ['49-31=18', '87-18=69']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,77 unequal: No Solution
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[18, 85], Operations: ['49-31=18', '87-2=85']
Exploring Operation: 18*85=1530, Resulting Numbers: [1530]
1530,77 unequal: No Solution
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 18+85=103, Resulting Numbers: [103]
103,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[87, 16], Operations: ['49-31=18', '18-2=16']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,77 unequal: No Solution
Exploring Operation: 87+16=103, Resulting Numbers: [103]
103,77 unequal: No Solution
Exploring Operation: 87*16=1392, Resulting Numbers: [1392]
1392,77 unequal: No Solution
Moving to Node #0,0,4
Current State: 77:[18, 89], Operations: ['49-31=18', '87+2=89']
Exploring Operation: 18*89=1602, Resulting Numbers: [1602]
1602,77 unequal: No Solution
Exploring Operation: 89-18=71, Resulting Numbers: [71]
71,77 unequal: No Solution
Exploring Operation: 18+89=107, Resulting Numbers: [107]
107,77 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
Current State: 77:[31, 87, 98], Operations: ['49*2=98']
Exploring Operation: 31+87=118, Resulting Numbers: [98, 118]
Generated Node #0,1,0: 77:[98, 118] Operation: 31+87=118
Exploring Operation: 31+98=129, Resulting Numbers: [87, 129]
Generated Node #0,1,1: 77:[87, 129] Operation: 31+98=129
Exploring Operation: 98-31=67, Resulting Numbers: [87, 67]
Generated Node #0,1,2: 77:[87, 67] Operation: 98-31=67
Exploring Operation: 98-87=11, Resulting Numbers: [31, 11]
Generated Node #0,1,3: 77:[31, 11] Operation: 98-87=11
Exploring Operation: 87-31=56, Resulting Numbers: [98, 56]
Generated Node #0,1,4: 77:[98, 56] Operation: 87-31=56
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 77:[87, 67], Operations: ['49*2=98', '98-31=67']
Exploring Operation: 87+67=154, Resulting Numbers: [154]
154,77 unequal: No Solution
Exploring Operation: 87-67=20, Resulting Numbers: [20]
20,77 unequal: No Solution
Exploring Operation: 87*67=5829, Resulting Numbers: [5829]
5829,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 77:[31, 11], Operations: ['49*2=98', '98-87=11']
Exploring Operation: 31*11=341, Resulting Numbers: [341]
341,77 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,77 unequal: No Solution
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 77:[98, 56], Operations: ['49*2=98', '87-31=56']
Exploring Operation: 98*56=5488, Resulting Numbers: [5488]
5488,77 unequal: No Solution
Exploring Operation: 98-56=42, Resulting Numbers: [42]
42,77 unequal: No Solution
Exploring Operation: 98+56=154, Resulting Numbers: [154]
154,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[98, 118], Operations: ['49*2=98', '31+87=118']
Exploring Operation: 98*118=11564, Resulting Numbers: [11564]
11564,77 unequal: No Solution
Exploring Operation: 98+118=216, Resulting Numbers: [216]
216,77 unequal: No Solution
Exploring Operation: 118-98=20, Resulting Numbers: [20]
20,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 77:[87, 129], Operations: ['49*2=98', '31+98=129']
Exploring Operation: 87*129=11223, Resulting Numbers: [11223]
11223,77 unequal: No Solution
Exploring Operation: 129-87=42, Resulting Numbers: [42]
42,77 unequal: No Solution
Exploring Operation: 87+129=216, Resulting Numbers: [216]
216,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 77:[31, 2, 38], Operations: ['87-49=38']
Exploring Operation: 38/2=19, Resulting Numbers: [31, 19]
Generated Node #0,4,0: 77:[31, 19] Operation: 38/2=19
Exploring Operation: 31*2=62, Resulting Numbers: [38, 62]
Generated Node #0,4,1: 77:[38, 62] Operation: 31*2=62
Exploring Operation: 2*38=76, Resulting Numbers: [31, 76]
Generated Node #0,4,2: 77:[31, 76] Operation: 2*38=76
Exploring Operation: 38-31=7, Resulting Numbers: [2, 7]
Generated Node #0,4,3: 77:[2, 7] Operation: 38-31=7
Exploring Operation: 31+38=69, Resulting Numbers: [2, 69]
Generated Node #0,4,4: 77:[2, 69] Operation: 31+38=69
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 77:[2, 7], Operations: ['87-49=38', '38-31=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 77:[2, 69], Operations: ['87-49=38', '31+38=69']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,77 unequal: No Solution
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 77:[31, 76], Operations: ['87-49=38', '2*38=76']
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,77 unequal: No Solution
Exploring Operation: 31*76=2356, Resulting Numbers: [2356]
2356,77 unequal: No Solution
Exploring Operation: 31+76=107, Resulting Numbers: [107]
107,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 77:[31, 19], Operations: ['87-49=38', '38/2=19']
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,77 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 77:[38, 62], Operations: ['87-49=38', '31*2=62']
Exploring Operation: 38*62=2356, Resulting Numbers: [2356]
2356,77 unequal: No Solution
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Exploring Operation: 38+62=100, Resulting Numbers: [100]
100,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[87, 49, 62], Operations: ['31*2=62']
Exploring Operation: 87-49=38, Resulting Numbers: [62, 38]
Generated Node #0,2,0: 77:[62, 38] Operation: 87-49=38
Exploring Operation: 87-62=25, Resulting Numbers: [49, 25]
Generated Node #0,2,1: 77:[49, 25] Operation: 87-62=25
Exploring Operation: 87+49=136, Resulting Numbers: [62, 136]
Generated Node #0,2,2: 77:[62, 136] Operation: 87+49=136
Exploring Operation: 62-49=13, Resulting Numbers: [87, 13]
Generated Node #0,2,3: 77:[87, 13] Operation: 62-49=13
Exploring Operation: 49+62=111, Resulting Numbers: [87, 111]
Generated Node #0,2,4: 77:[87, 111] Operation: 49+62=111
Moving to Node #0,2,3
Current State: 77:[87, 13], Operations: ['31*2=62', '62-49=13']
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 87+13=100, Resulting Numbers: [100]
100,77 unequal: No Solution
Exploring Operation: 87*13=1131, Resulting Numbers: [1131]
1131,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[49, 25], Operations: ['31*2=62', '87-62=25']
Exploring Operation: 49*25=1225, Resulting Numbers: [1225]
1225,77 unequal: No Solution
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[62, 38], Operations: ['31*2=62', '87-49=38']
Exploring Operation: 62+38=100, Resulting Numbers: [100]
100,77 unequal: No Solution
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Exploring Operation: 62*38=2356, Resulting Numbers: [2356]
2356,77 unequal: No Solution
Moving to Node #0,2,4
Current State: 77:[87, 111], Operations: ['31*2=62', '49+62=111']
Exploring Operation: 87*111=9657, Resulting Numbers: [9657]
9657,77 unequal: No Solution
Exploring Operation: 111-87=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Exploring Operation: 87+111=198, Resulting Numbers: [198]
198,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[62, 136], Operations: ['31*2=62', '87+49=136']
Exploring Operation: 62+136=198, Resulting Numbers: [198]
198,77 unequal: No Solution
Exploring Operation: 136-62=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 62*136=8432, Resulting Numbers: [8432]
8432,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
68,
30,
27,
38
] | 75 | [
"68+27=95",
"30*95=2850",
"2850/38=75"
] | Current State: 75:[68, 30, 27, 38], Operations: []
Exploring Operation: 68+27=95, Resulting Numbers: [30, 38, 95]
Generated Node #2: [30, 38, 95] from Operation: 68+27=95
Current State: 75:[30, 38, 95], Operations: ['68+27=95']
Exploring Operation: 30*95=2850, Resulting Numbers: [38, 2850]
Generated Node #3: [38, 2850] from Operation: 30*95=2850
Current State: 75:[38, 2850], Operations: ['68+27=95', '30*95=2850']
Exploring Operation: 2850/38=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[68, 30, 27, 38], Operations: []
Exploring Operation: 38-30=8, Resulting Numbers: [68, 27, 8]
Generated Node #0,0: 75:[68, 27, 8] Operation: 38-30=8
Exploring Operation: 68-38=30, Resulting Numbers: [30, 27, 30]
Generated Node #0,1: 75:[30, 27, 30] Operation: 68-38=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[68, 27, 8], Operations: ['38-30=8']
Exploring Operation: 68+8=76, Resulting Numbers: [27, 76]
Generated Node #0,0,0: 75:[27, 76] Operation: 68+8=76
Exploring Operation: 27-8=19, Resulting Numbers: [68, 19]
Generated Node #0,0,1: 75:[68, 19] Operation: 27-8=19
Moving to Node #0,0,0
Current State: 75:[27, 76], Operations: ['38-30=8', '68+8=76']
Exploring Operation: 27+76=103, Resulting Numbers: [103]
103,75 unequal: No Solution
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[68, 19], Operations: ['38-30=8', '27-8=19']
Exploring Operation: 68-19=49, Resulting Numbers: [49]
49,75 unequal: No Solution
Exploring Operation: 68+19=87, Resulting Numbers: [87]
87,75 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
Current State: 75:[30, 27, 30], Operations: ['68-38=30']
Exploring Operation: 30/30=1, Resulting Numbers: [27, 1]
Generated Node #0,1,0: 75:[27, 1] Operation: 30/30=1
Exploring Operation: 30-27=3, Resulting Numbers: [30, 3]
Generated Node #0,1,1: 75:[30, 3] Operation: 30-27=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[27, 1], Operations: ['68-38=30', '30/30=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,75 unequal: No Solution
No 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: 75:[30, 3], Operations: ['68-38=30', '30-27=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
38,
63,
78,
44
] | 67 | [
"38+63=101",
"78-44=34",
"101-34=67"
] | Current State: 67:[38, 63, 78, 44], Operations: []
Exploring Operation: 38+63=101, Resulting Numbers: [78, 44, 101]
Generated Node #2: [78, 44, 101] from Operation: 38+63=101
Current State: 67:[78, 44, 101], Operations: ['38+63=101']
Exploring Operation: 78-44=34, Resulting Numbers: [101, 34]
Generated Node #3: [101, 34] from Operation: 78-44=34
Current State: 67:[101, 34], Operations: ['38+63=101', '78-44=34']
Exploring Operation: 101-34=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[38, 63, 78, 44], Operations: []
Exploring Operation: 78-38=40, Resulting Numbers: [63, 44, 40]
Generated Node #0,0: 67:[63, 44, 40] Operation: 78-38=40
Exploring Operation: 38+44=82, Resulting Numbers: [63, 78, 82]
Generated Node #0,1: 67:[63, 78, 82] Operation: 38+44=82
Exploring Operation: 78-44=34, Resulting Numbers: [38, 63, 34]
Generated Node #0,2: 67:[38, 63, 34] Operation: 78-44=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[63, 78, 82], Operations: ['38+44=82']
Exploring Operation: 78-63=15, Resulting Numbers: [82, 15]
Generated Node #0,1,0: 67:[82, 15] Operation: 78-63=15
Exploring Operation: 82-63=19, Resulting Numbers: [78, 19]
Generated Node #0,1,1: 67:[78, 19] Operation: 82-63=19
Exploring Operation: 82-78=4, Resulting Numbers: [63, 4]
Generated Node #0,1,2: 67:[63, 4] Operation: 82-78=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[78, 19], Operations: ['38+44=82', '82-63=19']
Exploring Operation: 78*19=1482, Resulting Numbers: [1482]
1482,67 unequal: No Solution
Exploring Operation: 78+19=97, Resulting Numbers: [97]
97,67 unequal: No Solution
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[82, 15], Operations: ['38+44=82', '78-63=15']
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,67 unequal: No Solution
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,67 unequal: No Solution
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[38, 63, 78, 44], Operations: []
Exploring Operation: 38+44=82, Resulting Numbers: [63, 78, 82]
Generated Node #0,1: 67:[63, 78, 82] Operation: 38+44=82
Moving to Node #0,1
Current State: 67:[63, 78, 82], Operations: ['38+44=82']
Exploring Operation: 78-63=15, Resulting Numbers: [82, 15]
Generated Node #0,1,0: 67:[82, 15] Operation: 78-63=15
Moving to Node #0,1,0
Current State: 67:[82, 15], Operations: ['38+44=82', '78-63=15']
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
70,
31,
90,
90
] | 79 | [
"70+31=101",
"90+90=180",
"180-101=79"
] | Current State: 79:[70, 31, 90, 90], Operations: []
Exploring Operation: 70+31=101, Resulting Numbers: [90, 90, 101]
Generated Node #2: [90, 90, 101] from Operation: 70+31=101
Current State: 79:[90, 90, 101], Operations: ['70+31=101']
Exploring Operation: 90+90=180, Resulting Numbers: [101, 180]
Generated Node #3: [101, 180] from Operation: 90+90=180
Current State: 79:[101, 180], Operations: ['70+31=101', '90+90=180']
Exploring Operation: 180-101=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[70, 31, 90, 90], Operations: []
Exploring Operation: 90-31=59, Resulting Numbers: [70, 90, 59]
Generated Node #0,0: 79:[70, 90, 59] Operation: 90-31=59
Exploring Operation: 31+90=121, Resulting Numbers: [70, 90, 121]
Generated Node #0,1: 79:[70, 90, 121] Operation: 31+90=121
Exploring Operation: 70-31=39, Resulting Numbers: [90, 90, 39]
Generated Node #0,2: 79:[90, 90, 39] Operation: 70-31=39
Exploring Operation: 90-31=59, Resulting Numbers: [70, 90, 59]
Generated Node #0,3: 79:[70, 90, 59] Operation: 90-31=59
Exploring Operation: 70+31=101, Resulting Numbers: [90, 90, 101]
Generated Node #0,4: 79:[90, 90, 101] Operation: 70+31=101
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[70, 90, 59], Operations: ['90-31=59']
Exploring Operation: 70+59=129, Resulting Numbers: [90, 129]
Generated Node #0,0,0: 79:[90, 129] Operation: 70+59=129
Exploring Operation: 90+59=149, Resulting Numbers: [70, 149]
Generated Node #0,0,1: 79:[70, 149] Operation: 90+59=149
Exploring Operation: 90-59=31, Resulting Numbers: [70, 31]
Generated Node #0,0,2: 79:[70, 31] Operation: 90-59=31
Exploring Operation: 90-70=20, Resulting Numbers: [59, 20]
Generated Node #0,0,3: 79:[59, 20] Operation: 90-70=20
Exploring Operation: 70-59=11, Resulting Numbers: [90, 11]
Generated Node #0,0,4: 79:[90, 11] Operation: 70-59=11
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 79:[70, 31], Operations: ['90-31=59', '90-59=31']
Exploring Operation: 70+31=101, Resulting Numbers: [101]
101,79 unequal: No Solution
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 70*31=2170, Resulting Numbers: [2170]
2170,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[90, 129], Operations: ['90-31=59', '70+59=129']
Exploring Operation: 90+129=219, Resulting Numbers: [219]
219,79 unequal: No Solution
Exploring Operation: 129-90=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 90*129=11610, Resulting Numbers: [11610]
11610,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[70, 149], Operations: ['90-31=59', '90+59=149']
Exploring Operation: 149-70=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[70, 31, 90, 90], Operations: []
Exploring Operation: 90-31=59, Resulting Numbers: [70, 90, 59]
Generated Node #0,0: 79:[70, 90, 59] Operation: 90-31=59
Moving to Node #0,0
Current State: 79:[70, 90, 59], Operations: ['90-31=59']
Exploring Operation: 90+59=149, Resulting Numbers: [70, 149]
Generated Node #0,0,1: 79:[70, 149] Operation: 90+59=149
Moving to Node #0,0,1
Current State: 79:[70, 149], Operations: ['90-31=59', '90+59=149']
Exploring Operation: 149-70=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
31,
88,
68,
43
] | 94 | [
"31+88=119",
"68-43=25",
"119-25=94"
] | Current State: 94:[31, 88, 68, 43], Operations: []
Exploring Operation: 31+88=119, Resulting Numbers: [68, 43, 119]
Generated Node #2: [68, 43, 119] from Operation: 31+88=119
Current State: 94:[68, 43, 119], Operations: ['31+88=119']
Exploring Operation: 68-43=25, Resulting Numbers: [119, 25]
Generated Node #3: [119, 25] from Operation: 68-43=25
Current State: 94:[119, 25], Operations: ['31+88=119', '68-43=25']
Exploring Operation: 119-25=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[31, 88, 68, 43], Operations: []
Exploring Operation: 88-31=57, Resulting Numbers: [68, 43, 57]
Generated Node #0,0: 94:[68, 43, 57] Operation: 88-31=57
Exploring Operation: 43-31=12, Resulting Numbers: [88, 68, 12]
Generated Node #0,1: 94:[88, 68, 12] Operation: 43-31=12
Exploring Operation: 88-68=20, Resulting Numbers: [31, 43, 20]
Generated Node #0,2: 94:[31, 43, 20] Operation: 88-68=20
Exploring Operation: 31+68=99, Resulting Numbers: [88, 43, 99]
Generated Node #0,3: 94:[88, 43, 99] Operation: 31+68=99
Exploring Operation: 68-31=37, Resulting Numbers: [88, 43, 37]
Generated Node #0,4: 94:[88, 43, 37] Operation: 68-31=37
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[88, 43, 99], Operations: ['31+68=99']
Exploring Operation: 99-88=11, Resulting Numbers: [43, 11]
Generated Node #0,3,0: 94:[43, 11] Operation: 99-88=11
Exploring Operation: 88-43=45, Resulting Numbers: [99, 45]
Generated Node #0,3,1: 94:[99, 45] Operation: 88-43=45
Exploring Operation: 88+43=131, Resulting Numbers: [99, 131]
Generated Node #0,3,2: 94:[99, 131] Operation: 88+43=131
Exploring Operation: 43+99=142, Resulting Numbers: [88, 142]
Generated Node #0,3,3: 94:[88, 142] Operation: 43+99=142
Exploring Operation: 99-43=56, Resulting Numbers: [88, 56]
Generated Node #0,3,4: 94:[88, 56] Operation: 99-43=56
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 94:[99, 45], Operations: ['31+68=99', '88-43=45']
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 99*45=4455, Resulting Numbers: [4455]
4455,94 unequal: No Solution
Exploring Operation: 99+45=144, Resulting Numbers: [144]
144,94 unequal: No Solution
No 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: 94:[43, 11], Operations: ['31+68=99', '99-88=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,94 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 94:[88, 56], Operations: ['31+68=99', '99-43=56']
Exploring Operation: 88*56=4928, Resulting Numbers: [4928]
4928,94 unequal: No Solution
Exploring Operation: 88+56=144, Resulting Numbers: [144]
144,94 unequal: No Solution
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,94 unequal: No Solution
No 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: 94:[99, 131], Operations: ['31+68=99', '88+43=131']
Exploring Operation: 99*131=12969, Resulting Numbers: [12969]
12969,94 unequal: No Solution
Exploring Operation: 99+131=230, Resulting Numbers: [230]
230,94 unequal: No Solution
Exploring Operation: 131-99=32, Resulting Numbers: [32]
32,94 unequal: No Solution
No 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: 94:[88, 142], Operations: ['31+68=99', '43+99=142']
Exploring Operation: 88+142=230, Resulting Numbers: [230]
230,94 unequal: No Solution
Exploring Operation: 142-88=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 88*142=12496, Resulting Numbers: [12496]
12496,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 94:[88, 43, 37], Operations: ['68-31=37']
Exploring Operation: 88-43=45, Resulting Numbers: [37, 45]
Generated Node #0,4,0: 94:[37, 45] Operation: 88-43=45
Exploring Operation: 43-37=6, Resulting Numbers: [88, 6]
Generated Node #0,4,1: 94:[88, 6] Operation: 43-37=6
Exploring Operation: 88-37=51, Resulting Numbers: [43, 51]
Generated Node #0,4,2: 94:[43, 51] Operation: 88-37=51
Exploring Operation: 43+37=80, Resulting Numbers: [88, 80]
Generated Node #0,4,3: 94:[88, 80] Operation: 43+37=80
Exploring Operation: 88+37=125, Resulting Numbers: [43, 125]
Generated Node #0,4,4: 94:[43, 125] Operation: 88+37=125
Moving to Node #0,4,2
Current State: 94:[43, 51], Operations: ['68-31=37', '88-37=51']
Exploring Operation: 43*51=2193, Resulting Numbers: [2193]
2193,94 unequal: No Solution
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[31, 88, 68, 43], Operations: []
Exploring Operation: 68-31=37, Resulting Numbers: [88, 43, 37]
Generated Node #0,4: 94:[88, 43, 37] Operation: 68-31=37
Moving to Node #0,4
Current State: 94:[88, 43, 37], Operations: ['68-31=37']
Exploring Operation: 88-37=51, Resulting Numbers: [43, 51]
Generated Node #0,4,2: 94:[43, 51] Operation: 88-37=51
Moving to Node #0,4,2
Current State: 94:[43, 51], Operations: ['68-31=37', '88-37=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
5,
38,
23,
98
] | 78 | [
"5+38=43",
"23+98=121",
"121-43=78"
] | Current State: 78:[5, 38, 23, 98], Operations: []
Exploring Operation: 5+38=43, Resulting Numbers: [23, 98, 43]
Generated Node #2: [23, 98, 43] from Operation: 5+38=43
Current State: 78:[23, 98, 43], Operations: ['5+38=43']
Exploring Operation: 23+98=121, Resulting Numbers: [43, 121]
Generated Node #3: [43, 121] from Operation: 23+98=121
Current State: 78:[43, 121], Operations: ['5+38=43', '23+98=121']
Exploring Operation: 121-43=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[5, 38, 23, 98], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [5, 38, 75]
Generated Node #0,0: 78:[5, 38, 75] Operation: 98-23=75
Exploring Operation: 98-5=93, Resulting Numbers: [38, 23, 93]
Generated Node #0,1: 78:[38, 23, 93] Operation: 98-5=93
Exploring Operation: 98-38=60, Resulting Numbers: [5, 23, 60]
Generated Node #0,2: 78:[5, 23, 60] Operation: 98-38=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[5, 38, 75], Operations: ['98-23=75']
Exploring Operation: 75-38=37, Resulting Numbers: [5, 37]
Generated Node #0,0,0: 78:[5, 37] Operation: 75-38=37
Exploring Operation: 5+75=80, Resulting Numbers: [38, 80]
Generated Node #0,0,1: 78:[38, 80] Operation: 5+75=80
Exploring Operation: 75/5=15, Resulting Numbers: [38, 15]
Generated Node #0,0,2: 78:[38, 15] Operation: 75/5=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[5, 37], Operations: ['98-23=75', '75-38=37']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,78 unequal: No Solution
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,78 unequal: No Solution
No 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: 78:[38, 80], Operations: ['98-23=75', '5+75=80']
Exploring Operation: 38*80=3040, Resulting Numbers: [3040]
3040,78 unequal: No Solution
Exploring Operation: 38+80=118, Resulting Numbers: [118]
118,78 unequal: No Solution
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,78 unequal: No Solution
No 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: 78:[38, 15], Operations: ['98-23=75', '75/5=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,78 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[38, 23, 93], Operations: ['98-5=93']
Exploring Operation: 38-23=15, Resulting Numbers: [93, 15]
Generated Node #0,1,0: 78:[93, 15] Operation: 38-23=15
Exploring Operation: 93-38=55, Resulting Numbers: [23, 55]
Generated Node #0,1,1: 78:[23, 55] Operation: 93-38=55
Exploring Operation: 93-23=70, Resulting Numbers: [38, 70]
Generated Node #0,1,2: 78:[38, 70] Operation: 93-23=70
Moving to Node #0,1,2
Current State: 78:[38, 70], Operations: ['98-5=93', '93-23=70']
Exploring Operation: 38*70=2660, Resulting Numbers: [2660]
2660,78 unequal: No Solution
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 38+70=108, Resulting Numbers: [108]
108,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[93, 15], Operations: ['98-5=93', '38-23=15']
Exploring Operation: 93-15=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[5, 38, 23, 98], Operations: []
Exploring Operation: 98-5=93, Resulting Numbers: [38, 23, 93]
Generated Node #0,1: 78:[38, 23, 93] Operation: 98-5=93
Moving to Node #0,1
Current State: 78:[38, 23, 93], Operations: ['98-5=93']
Exploring Operation: 38-23=15, Resulting Numbers: [93, 15]
Generated Node #0,1,0: 78:[93, 15] Operation: 38-23=15
Moving to Node #0,1,0
Current State: 78:[93, 15], Operations: ['98-5=93', '38-23=15']
Exploring Operation: 93-15=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
57,
2,
13,
53
] | 60 | [
"57-53=4",
"2+13=15",
"4*15=60"
] | Current State: 60:[57, 2, 13, 53], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [2, 13, 4]
Generated Node #2: [2, 13, 4] from Operation: 57-53=4
Current State: 60:[2, 13, 4], Operations: ['57-53=4']
Exploring Operation: 2+13=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 2+13=15
Current State: 60:[4, 15], Operations: ['57-53=4', '2+13=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[57, 2, 13, 53], Operations: []
Exploring Operation: 57+2=59, Resulting Numbers: [13, 53, 59]
Generated Node #0,0: 60:[13, 53, 59] Operation: 57+2=59
Exploring Operation: 57-53=4, Resulting Numbers: [2, 13, 4]
Generated Node #0,1: 60:[2, 13, 4] Operation: 57-53=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[2, 13, 4], Operations: ['57-53=4']
Exploring Operation: 13-2=11, Resulting Numbers: [4, 11]
Generated Node #0,1,0: 60:[4, 11] Operation: 13-2=11
Exploring Operation: 2+13=15, Resulting Numbers: [4, 15]
Generated Node #0,1,1: 60:[4, 15] Operation: 2+13=15
Moving to Node #0,1,1
Current State: 60:[4, 15], Operations: ['57-53=4', '2+13=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,60 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[57, 2, 13, 53], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [2, 13, 4]
Generated Node #0,1: 60:[2, 13, 4] Operation: 57-53=4
Moving to Node #0,1
Current State: 60:[2, 13, 4], Operations: ['57-53=4']
Exploring Operation: 2+13=15, Resulting Numbers: [4, 15]
Generated Node #0,1,1: 60:[4, 15] Operation: 2+13=15
Moving to Node #0,1,1
Current State: 60:[4, 15], Operations: ['57-53=4', '2+13=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
50,
46,
44,
84
] | 17 | [
"84-50=34",
"46-44=2",
"34/2=17"
] | Current State: 17:[50, 46, 44, 84], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [46, 44, 34]
Generated Node #2: [46, 44, 34] from Operation: 84-50=34
Current State: 17:[46, 44, 34], Operations: ['84-50=34']
Exploring Operation: 46-44=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 46-44=2
Current State: 17:[34, 2], Operations: ['84-50=34', '46-44=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[50, 46, 44, 84], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [46, 44, 34]
Generated Node #0,0: 17:[46, 44, 34] Operation: 84-50=34
Exploring Operation: 84-46=38, Resulting Numbers: [50, 44, 38]
Generated Node #0,1: 17:[50, 44, 38] Operation: 84-46=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[46, 44, 34], Operations: ['84-50=34']
Exploring Operation: 46-44=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 17:[34, 2] Operation: 46-44=2
Exploring Operation: 46-34=12, Resulting Numbers: [44, 12]
Generated Node #0,0,1: 17:[44, 12] Operation: 46-34=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[34, 2], Operations: ['84-50=34', '46-44=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[50, 46, 44, 84], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [46, 44, 34]
Generated Node #0,0: 17:[46, 44, 34] Operation: 84-50=34
Moving to Node #0,0
Current State: 17:[46, 44, 34], Operations: ['84-50=34']
Exploring Operation: 46-44=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 17:[34, 2] Operation: 46-44=2
Moving to Node #0,0,0
Current State: 17:[34, 2], Operations: ['84-50=34', '46-44=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
54,
45,
2,
52
] | 88 | [
"54-52=2",
"45*2=90",
"90-2=88"
] | Current State: 88:[54, 45, 2, 52], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [45, 2, 2]
Generated Node #2: [45, 2, 2] from Operation: 54-52=2
Current State: 88:[45, 2, 2], Operations: ['54-52=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,88 equal: Goal Reached
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[54, 45, 2, 52], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [45, 2, 2]
Generated Node #0,0: 88:[45, 2, 2] Operation: 54-52=2
Exploring Operation: 54-45=9, Resulting Numbers: [2, 52, 9]
Generated Node #0,1: 88:[2, 52, 9] Operation: 54-45=9
Moving to Node #0,0
Current State: 88:[45, 2, 2], Operations: ['54-52=2']
Exploring Operation: 45-2=43, Resulting Numbers: [2, 43]
Generated Node #0,0,0: 88:[2, 43] Operation: 45-2=43
Exploring Operation: 45-2=43, Resulting Numbers: [2, 43]
Generated Node #0,0,1: 88:[2, 43] Operation: 45-2=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[2, 43], Operations: ['54-52=2', '45-2=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 88:[2, 43], Operations: ['54-52=2', '45-2=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,88 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: 88:[2, 52, 9], Operations: ['54-45=9']
Exploring Operation: 52-9=43, Resulting Numbers: [2, 43]
Generated Node #0,1,0: 88:[2, 43] Operation: 52-9=43
Exploring Operation: 52/2=26, Resulting Numbers: [9, 26]
Generated Node #0,1,1: 88:[9, 26] Operation: 52/2=26
Moving to Node #0,1,0
Current State: 88:[2, 43], Operations: ['54-45=9', '52-9=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[9, 26], Operations: ['54-45=9', '52/2=26']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,88 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
42,
32,
76,
39
] | 70 | [
"39-32=7",
"42/7=6",
"76-6=70"
] | Current State: 70:[42, 32, 76, 39], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [42, 76, 7]
Generated Node #2: [42, 76, 7] from Operation: 39-32=7
Current State: 70:[42, 76, 7], Operations: ['39-32=7']
Exploring Operation: 42/7=6, Resulting Numbers: [76, 6]
Generated Node #3: [76, 6] from Operation: 42/7=6
Current State: 70:[76, 6], Operations: ['39-32=7', '42/7=6']
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[42, 32, 76, 39], Operations: []
Exploring Operation: 76-42=34, Resulting Numbers: [32, 39, 34]
Generated Node #0,0: 70:[32, 39, 34] Operation: 76-42=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[32, 39, 34], Operations: ['76-42=34']
Exploring Operation: 39-32=7, Resulting Numbers: [34, 7]
Generated Node #0,0,0: 70:[34, 7] Operation: 39-32=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[34, 7], Operations: ['76-42=34', '39-32=7']
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
65,
73,
77,
86
] | 17 | [
"73-65=8",
"86-77=9",
"8+9=17"
] | Current State: 17:[65, 73, 77, 86], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [77, 86, 8]
Generated Node #2: [77, 86, 8] from Operation: 73-65=8
Current State: 17:[77, 86, 8], Operations: ['73-65=8']
Exploring Operation: 86-77=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 86-77=9
Current State: 17:[8, 9], Operations: ['73-65=8', '86-77=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[65, 73, 77, 86], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [65, 77, 13]
Generated Node #0,0: 17:[65, 77, 13] Operation: 86-73=13
Exploring Operation: 86-65=21, Resulting Numbers: [73, 77, 21]
Generated Node #0,1: 17:[73, 77, 21] Operation: 86-65=21
Exploring Operation: 86-77=9, Resulting Numbers: [65, 73, 9]
Generated Node #0,2: 17:[65, 73, 9] Operation: 86-77=9
Exploring Operation: 77-65=12, Resulting Numbers: [73, 86, 12]
Generated Node #0,3: 17:[73, 86, 12] Operation: 77-65=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[65, 77, 13], Operations: ['86-73=13']
Exploring Operation: 65/13=5, Resulting Numbers: [77, 5]
Generated Node #0,0,0: 17:[77, 5] Operation: 65/13=5
Exploring Operation: 65-13=52, Resulting Numbers: [77, 52]
Generated Node #0,0,1: 17:[77, 52] Operation: 65-13=52
Exploring Operation: 77-13=64, Resulting Numbers: [65, 64]
Generated Node #0,0,2: 17:[65, 64] Operation: 77-13=64
Exploring Operation: 77-65=12, Resulting Numbers: [13, 12]
Generated Node #0,0,3: 17:[13, 12] Operation: 77-65=12
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 17:[13, 12], Operations: ['86-73=13', '77-65=12']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,17 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[77, 5], Operations: ['86-73=13', '65/13=5']
Exploring Operation: 77*5=385, Resulting Numbers: [385]
385,17 unequal: No Solution
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,17 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 17:[77, 52], Operations: ['86-73=13', '65-13=52']
Exploring Operation: 77*52=4004, Resulting Numbers: [4004]
4004,17 unequal: No Solution
Exploring Operation: 77+52=129, Resulting Numbers: [129]
129,17 unequal: No Solution
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 17:[65, 64], Operations: ['86-73=13', '77-13=64']
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 65*64=4160, Resulting Numbers: [4160]
4160,17 unequal: No Solution
Exploring Operation: 65+64=129, Resulting Numbers: [129]
129,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[65, 73, 9], Operations: ['86-77=9']
Exploring Operation: 73-9=64, Resulting Numbers: [65, 64]
Generated Node #0,2,0: 17:[65, 64] Operation: 73-9=64
Exploring Operation: 65-9=56, Resulting Numbers: [73, 56]
Generated Node #0,2,1: 17:[73, 56] Operation: 65-9=56
Exploring Operation: 73-65=8, Resulting Numbers: [9, 8]
Generated Node #0,2,2: 17:[9, 8] Operation: 73-65=8
Exploring Operation: 65+9=74, Resulting Numbers: [73, 74]
Generated Node #0,2,3: 17:[73, 74] Operation: 65+9=74
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[9, 8], Operations: ['86-77=9', '73-65=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,17 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[65, 73, 77, 86], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [65, 73, 9]
Generated Node #0,2: 17:[65, 73, 9] Operation: 86-77=9
Moving to Node #0,2
Current State: 17:[65, 73, 9], Operations: ['86-77=9']
Exploring Operation: 73-65=8, Resulting Numbers: [9, 8]
Generated Node #0,2,2: 17:[9, 8] Operation: 73-65=8
Moving to Node #0,2,2
Current State: 17:[9, 8], Operations: ['86-77=9', '73-65=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
38,
51,
6,
3
] | 70 | [
"38*3=114",
"114/6=19",
"51+19=70"
] | Current State: 70:[38, 51, 6, 3], Operations: []
Exploring Operation: 38*3=114, Resulting Numbers: [51, 6, 114]
Generated Node #2: [51, 6, 114] from Operation: 38*3=114
Current State: 70:[51, 6, 114], Operations: ['38*3=114']
Exploring Operation: 114/6=19, Resulting Numbers: [51, 19]
Generated Node #3: [51, 19] from Operation: 114/6=19
Current State: 70:[51, 19], Operations: ['38*3=114', '114/6=19']
Exploring Operation: 51+19=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[38, 51, 6, 3], Operations: []
Exploring Operation: 38-3=35, Resulting Numbers: [51, 6, 35]
Generated Node #0,0: 70:[51, 6, 35] Operation: 38-3=35
Exploring Operation: 51-6=45, Resulting Numbers: [38, 3, 45]
Generated Node #0,1: 70:[38, 3, 45] Operation: 51-6=45
Exploring Operation: 51-38=13, Resulting Numbers: [6, 3, 13]
Generated Node #0,2: 70:[6, 3, 13] Operation: 51-38=13
Exploring Operation: 51+6=57, Resulting Numbers: [38, 3, 57]
Generated Node #0,3: 70:[38, 3, 57] Operation: 51+6=57
Exploring Operation: 51/3=17, Resulting Numbers: [38, 6, 17]
Generated Node #0,4: 70:[38, 6, 17] Operation: 51/3=17
Moving to Node #0,2
Current State: 70:[6, 3, 13], Operations: ['51-38=13']
Exploring Operation: 6-3=3, Resulting Numbers: [13, 3]
Generated Node #0,2,0: 70:[13, 3] Operation: 6-3=3
Exploring Operation: 6/3=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 70:[13, 2] Operation: 6/3=2
Exploring Operation: 13-6=7, Resulting Numbers: [3, 7]
Generated Node #0,2,2: 70:[3, 7] Operation: 13-6=7
Exploring Operation: 6+3=9, Resulting Numbers: [13, 9]
Generated Node #0,2,3: 70:[13, 9] Operation: 6+3=9
Exploring Operation: 13-3=10, Resulting Numbers: [6, 10]
Generated Node #0,2,4: 70:[6, 10] Operation: 13-3=10
Moving to Node #0,4
Current State: 70:[38, 6, 17], Operations: ['51/3=17']
Exploring Operation: 38+6=44, Resulting Numbers: [17, 44]
Generated Node #0,4,0: 70:[17, 44] Operation: 38+6=44
Exploring Operation: 38-17=21, Resulting Numbers: [6, 21]
Generated Node #0,4,1: 70:[6, 21] Operation: 38-17=21
Exploring Operation: 38-6=32, Resulting Numbers: [17, 32]
Generated Node #0,4,2: 70:[17, 32] Operation: 38-6=32
Exploring Operation: 6+17=23, Resulting Numbers: [38, 23]
Generated Node #0,4,3: 70:[38, 23] Operation: 6+17=23
Exploring Operation: 17-6=11, Resulting Numbers: [38, 11]
Generated Node #0,4,4: 70:[38, 11] Operation: 17-6=11
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 70:[38, 11], Operations: ['51/3=17', '17-6=11']
Exploring Operation: 38+11=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,70 unequal: No Solution
Exploring Operation: 38*11=418, Resulting Numbers: [418]
418,70 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 #0,4,2
Current State: 70:[17, 32], Operations: ['51/3=17', '38-6=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,70 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,70 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 #0,4,1
Current State: 70:[6, 21], Operations: ['51/3=17', '38-17=21']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,70 unequal: No Solution
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,70 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 #0,4,0
Current State: 70:[17, 44], Operations: ['51/3=17', '38+6=44']
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,70 unequal: No Solution
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,70 unequal: No Solution
Exploring Operation: 17*44=748, Resulting Numbers: [748]
748,70 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 #0,4,3
Current State: 70:[38, 23], Operations: ['51/3=17', '6+17=23']
Exploring Operation: 38+23=61, Resulting Numbers: [61]
61,70 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 38*23=874, Resulting Numbers: [874]
874,70 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:[38, 3, 45], Operations: ['51-6=45']
Exploring Operation: 38+45=83, Resulting Numbers: [3, 83]
Generated Node #0,1,0: 70:[3, 83] Operation: 38+45=83
Exploring Operation: 38-3=35, Resulting Numbers: [45, 35]
Generated Node #0,1,1: 70:[45, 35] Operation: 38-3=35
Exploring Operation: 45-3=42, Resulting Numbers: [38, 42]
Generated Node #0,1,2: 70:[38, 42] Operation: 45-3=42
Exploring Operation: 45-38=7, Resulting Numbers: [3, 7]
Generated Node #0,1,3: 70:[3, 7] Operation: 45-38=7
Exploring Operation: 45/3=15, Resulting Numbers: [38, 15]
Generated Node #0,1,4: 70:[38, 15] Operation: 45/3=15
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 70:[3, 7], Operations: ['51-6=45', '45-38=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,70 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 #0,1,4
Current State: 70:[38, 15], Operations: ['51-6=45', '45/3=15']
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,70 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,70 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 #0,1,1
Current State: 70:[45, 35], Operations: ['51-6=45', '38-3=35']
Exploring Operation: 45+35=80, Resulting Numbers: [80]
80,70 unequal: No Solution
Exploring Operation: 45*35=1575, Resulting Numbers: [1575]
1575,70 unequal: No Solution
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,70 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 #0,1,2
Current State: 70:[38, 42], Operations: ['51-6=45', '45-3=42']
Exploring Operation: 38*42=1596, Resulting Numbers: [1596]
1596,70 unequal: No Solution
Exploring Operation: 38+42=80, Resulting Numbers: [80]
80,70 unequal: No Solution
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,70 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 #0,1,0
Current State: 70:[3, 83], Operations: ['51-6=45', '38+45=83']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,70 unequal: No Solution
Exploring Operation: 3*83=249, Resulting Numbers: [249]
249,70 unequal: No Solution
Exploring Operation: 3+83=86, Resulting Numbers: [86]
86,70 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:[51, 6, 35], Operations: ['38-3=35']
Exploring Operation: 51+35=86, Resulting Numbers: [6, 86]
Generated Node #0,0,0: 70:[6, 86] Operation: 51+35=86
Exploring Operation: 51+6=57, Resulting Numbers: [35, 57]
Generated Node #0,0,1: 70:[35, 57] Operation: 51+6=57
Exploring Operation: 51-35=16, Resulting Numbers: [6, 16]
Generated Node #0,0,2: 70:[6, 16] Operation: 51-35=16
Exploring Operation: 6+35=41, Resulting Numbers: [51, 41]
Generated Node #0,0,3: 70:[51, 41] Operation: 6+35=41
Exploring Operation: 51-6=45, Resulting Numbers: [35, 45]
Generated Node #0,0,4: 70:[35, 45] Operation: 51-6=45
Moving to Node #0,3
Current State: 70:[38, 3, 57], Operations: ['51+6=57']
Exploring Operation: 3+57=60, Resulting Numbers: [38, 60]
Generated Node #0,3,0: 70:[38, 60] Operation: 3+57=60
Exploring Operation: 38+3=41, Resulting Numbers: [57, 41]
Generated Node #0,3,1: 70:[57, 41] Operation: 38+3=41
Exploring Operation: 57/3=19, Resulting Numbers: [38, 19]
Generated Node #0,3,2: 70:[38, 19] Operation: 57/3=19
Exploring Operation: 38-3=35, Resulting Numbers: [57, 35]
Generated Node #0,3,3: 70:[57, 35] Operation: 38-3=35
Exploring Operation: 57-38=19, Resulting Numbers: [3, 19]
Generated Node #0,3,4: 70:[3, 19] Operation: 57-38=19
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 70:[3, 19], Operations: ['51+6=57', '57-38=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,70 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 70:[38, 19], Operations: ['51+6=57', '57/3=19']
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 38+19=57, Resulting Numbers: [57]
57,70 unequal: No Solution
Exploring Operation: 38*19=722, Resulting Numbers: [722]
722,70 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 70:[38, 60], Operations: ['51+6=57', '3+57=60']
Exploring Operation: 38+60=98, Resulting Numbers: [98]
98,70 unequal: No Solution
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 38*60=2280, Resulting Numbers: [2280]
2280,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 70:[57, 35], Operations: ['51+6=57', '38-3=35']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,70 unequal: No Solution
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 70:[57, 41], Operations: ['51+6=57', '38+3=41']
Exploring Operation: 57*41=2337, Resulting Numbers: [2337]
2337,70 unequal: No Solution
Exploring Operation: 57+41=98, Resulting Numbers: [98]
98,70 unequal: No Solution
Exploring Operation: 57-41=16, Resulting Numbers: [16]
16,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 70:[13, 2], Operations: ['51-38=13', '6/3=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,70 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Moving to Node #0,2,4
Current State: 70:[6, 10], Operations: ['51-38=13', '13-3=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,70 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[3, 7], Operations: ['51-38=13', '13-6=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Moving to Node #0,2,3
Current State: 70:[13, 9], Operations: ['51-38=13', '6+3=9']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 13*9=117, Resulting Numbers: [117]
117,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[13, 3], Operations: ['51-38=13', '6-3=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,70 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Moving to Node #0,0,2
Current State: 70:[6, 16], Operations: ['38-3=35', '51-35=16']
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,70 unequal: No Solution
Moving to Node #0,0,4
Current State: 70:[35, 45], Operations: ['38-3=35', '51-6=45']
Exploring Operation: 35*45=1575, Resulting Numbers: [1575]
1575,70 unequal: No Solution
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 35+45=80, Resulting Numbers: [80]
80,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[35, 57], Operations: ['38-3=35', '51+6=57']
Exploring Operation: 35+57=92, Resulting Numbers: [92]
92,70 unequal: No Solution
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 35*57=1995, Resulting Numbers: [1995]
1995,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[6, 86], Operations: ['38-3=35', '51+35=86']
Exploring Operation: 6+86=92, Resulting Numbers: [92]
92,70 unequal: No Solution
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,70 unequal: No Solution
Exploring Operation: 6*86=516, Resulting Numbers: [516]
516,70 unequal: No Solution
Moving to Node #0,0,3
Current State: 70:[51, 41], Operations: ['38-3=35', '6+35=41']
Exploring Operation: 51+41=92, Resulting Numbers: [92]
92,70 unequal: No Solution
Exploring Operation: 51*41=2091, Resulting Numbers: [2091]
2091,70 unequal: No Solution
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,70 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
17,
4,
49,
72
] | 84 | [
"17+49=66",
"72/4=18",
"66+18=84"
] | Current State: 84:[17, 4, 49, 72], Operations: []
Exploring Operation: 17+49=66, Resulting Numbers: [4, 72, 66]
Generated Node #2: [4, 72, 66] from Operation: 17+49=66
Current State: 84:[4, 72, 66], Operations: ['17+49=66']
Exploring Operation: 72/4=18, Resulting Numbers: [66, 18]
Generated Node #3: [66, 18] from Operation: 72/4=18
Current State: 84:[66, 18], Operations: ['17+49=66', '72/4=18']
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[17, 4, 49, 72], Operations: []
Exploring Operation: 17+72=89, Resulting Numbers: [4, 49, 89]
Generated Node #0,0: 84:[4, 49, 89] Operation: 17+72=89
Exploring Operation: 72-49=23, Resulting Numbers: [17, 4, 23]
Generated Node #0,1: 84:[17, 4, 23] Operation: 72-49=23
Moving to Node #0,1
Current State: 84:[17, 4, 23], Operations: ['72-49=23']
Exploring Operation: 17+4=21, Resulting Numbers: [23, 21]
Generated Node #0,1,0: 84:[23, 21] Operation: 17+4=21
Exploring Operation: 23-17=6, Resulting Numbers: [4, 6]
Generated Node #0,1,1: 84:[4, 6] Operation: 23-17=6
Moving to Node #0,0
Current State: 84:[4, 49, 89], Operations: ['17+72=89']
Exploring Operation: 89-49=40, Resulting Numbers: [4, 40]
Generated Node #0,0,0: 84:[4, 40] Operation: 89-49=40
Exploring Operation: 49-4=45, Resulting Numbers: [89, 45]
Generated Node #0,0,1: 84:[89, 45] Operation: 49-4=45
Moving to Node #0,1,1
Current State: 84:[4, 6], Operations: ['72-49=23', '23-17=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[4, 40], Operations: ['17+72=89', '89-49=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[23, 21], Operations: ['72-49=23', '17+4=21']
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[89, 45], Operations: ['17+72=89', '49-4=45']
Exploring Operation: 89-45=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 89+45=134, Resulting Numbers: [134]
134,84 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
47,
78,
21,
12
] | 64 | [
"78-47=31",
"21+12=33",
"31+33=64"
] | Current State: 64:[47, 78, 21, 12], Operations: []
Exploring Operation: 78-47=31, Resulting Numbers: [21, 12, 31]
Generated Node #2: [21, 12, 31] from Operation: 78-47=31
Current State: 64:[21, 12, 31], Operations: ['78-47=31']
Exploring Operation: 21+12=33, Resulting Numbers: [31, 33]
Generated Node #3: [31, 33] from Operation: 21+12=33
Current State: 64:[31, 33], Operations: ['78-47=31', '21+12=33']
Exploring Operation: 31+33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[47, 78, 21, 12], Operations: []
Exploring Operation: 47-12=35, Resulting Numbers: [78, 21, 35]
Generated Node #0,0: 64:[78, 21, 35] Operation: 47-12=35
Exploring Operation: 78-12=66, Resulting Numbers: [47, 21, 66]
Generated Node #0,1: 64:[47, 21, 66] Operation: 78-12=66
Exploring Operation: 78-47=31, Resulting Numbers: [21, 12, 31]
Generated Node #0,2: 64:[21, 12, 31] Operation: 78-47=31
Exploring Operation: 47+21=68, Resulting Numbers: [78, 12, 68]
Generated Node #0,3: 64:[78, 12, 68] Operation: 47+21=68
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[21, 12, 31], Operations: ['78-47=31']
Exploring Operation: 21+12=33, Resulting Numbers: [31, 33]
Generated Node #0,2,0: 64:[31, 33] Operation: 21+12=33
Exploring Operation: 21-12=9, Resulting Numbers: [31, 9]
Generated Node #0,2,1: 64:[31, 9] Operation: 21-12=9
Exploring Operation: 31-21=10, Resulting Numbers: [12, 10]
Generated Node #0,2,2: 64:[12, 10] Operation: 31-21=10
Exploring Operation: 31-12=19, Resulting Numbers: [21, 19]
Generated Node #0,2,3: 64:[21, 19] Operation: 31-12=19
Moving to Node #0,2,0
Current State: 64:[31, 33], Operations: ['78-47=31', '21+12=33']
Exploring Operation: 31*33=1023, Resulting Numbers: [1023]
1023,64 unequal: No Solution
Exploring Operation: 31+33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[47, 78, 21, 12], Operations: []
Exploring Operation: 78-47=31, Resulting Numbers: [21, 12, 31]
Generated Node #0,2: 64:[21, 12, 31] Operation: 78-47=31
Moving to Node #0,2
Current State: 64:[21, 12, 31], Operations: ['78-47=31']
Exploring Operation: 21+12=33, Resulting Numbers: [31, 33]
Generated Node #0,2,0: 64:[31, 33] Operation: 21+12=33
Moving to Node #0,2,0
Current State: 64:[31, 33], Operations: ['78-47=31', '21+12=33']
Exploring Operation: 31+33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
36,
88,
70,
96
] | 42 | [
"36+88=124",
"70+96=166",
"166-124=42"
] | Current State: 42:[36, 88, 70, 96], Operations: []
Exploring Operation: 36+88=124, Resulting Numbers: [70, 96, 124]
Generated Node #2: [70, 96, 124] from Operation: 36+88=124
Current State: 42:[70, 96, 124], Operations: ['36+88=124']
Exploring Operation: 70+96=166, Resulting Numbers: [124, 166]
Generated Node #3: [124, 166] from Operation: 70+96=166
Current State: 42:[124, 166], Operations: ['36+88=124', '70+96=166']
Exploring Operation: 166-124=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[36, 88, 70, 96], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [36, 70, 8]
Generated Node #0,0: 42:[36, 70, 8] Operation: 96-88=8
Exploring Operation: 96-70=26, Resulting Numbers: [36, 88, 26]
Generated Node #0,1: 42:[36, 88, 26] Operation: 96-70=26
Exploring Operation: 88-70=18, Resulting Numbers: [36, 96, 18]
Generated Node #0,2: 42:[36, 96, 18] Operation: 88-70=18
Exploring Operation: 88-36=52, Resulting Numbers: [70, 96, 52]
Generated Node #0,3: 42:[70, 96, 52] Operation: 88-36=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[36, 70, 8], Operations: ['96-88=8']
Exploring Operation: 36-8=28, Resulting Numbers: [70, 28]
Generated Node #0,0,0: 42:[70, 28] Operation: 36-8=28
Exploring Operation: 70-8=62, Resulting Numbers: [36, 62]
Generated Node #0,0,1: 42:[36, 62] Operation: 70-8=62
Exploring Operation: 36+8=44, Resulting Numbers: [70, 44]
Generated Node #0,0,2: 42:[70, 44] Operation: 36+8=44
Exploring Operation: 70-36=34, Resulting Numbers: [8, 34]
Generated Node #0,0,3: 42:[8, 34] Operation: 70-36=34
Moving to Node #0,0,3
Current State: 42:[8, 34], Operations: ['96-88=8', '70-36=34']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 8*34=272, Resulting Numbers: [272]
272,42 unequal: No Solution
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[36, 88, 70, 96], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [36, 70, 8]
Generated Node #0,0: 42:[36, 70, 8] Operation: 96-88=8
Moving to Node #0,0
Current State: 42:[36, 70, 8], Operations: ['96-88=8']
Exploring Operation: 70-36=34, Resulting Numbers: [8, 34]
Generated Node #0,0,3: 42:[8, 34] Operation: 70-36=34
Moving to Node #0,0,3
Current State: 42:[8, 34], Operations: ['96-88=8', '70-36=34']
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
81,
3,
72,
85
] | 88 | [
"81-72=9",
"9/3=3",
"85+3=88"
] | Current State: 88:[81, 3, 72, 85], Operations: []
Exploring Operation: 81-72=9, Resulting Numbers: [3, 85, 9]
Generated Node #2: [3, 85, 9] from Operation: 81-72=9
Current State: 88:[3, 85, 9], Operations: ['81-72=9']
Exploring Operation: 9/3=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 9/3=3
Current State: 88:[85, 3], Operations: ['81-72=9', '9/3=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[81, 3, 72, 85], Operations: []
Exploring Operation: 81-72=9, Resulting Numbers: [3, 85, 9]
Generated Node #0,0: 88:[3, 85, 9] Operation: 81-72=9
Exploring Operation: 85-72=13, Resulting Numbers: [81, 3, 13]
Generated Node #0,1: 88:[81, 3, 13] Operation: 85-72=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[3, 85, 9], Operations: ['81-72=9']
Exploring Operation: 3+9=12, Resulting Numbers: [85, 12]
Generated Node #0,0,0: 88:[85, 12] Operation: 3+9=12
Exploring Operation: 3+85=88, Resulting Numbers: [9, 88]
Generated Node #0,0,1: 88:[9, 88] Operation: 3+85=88
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[9, 88], Operations: ['81-72=9', '3+85=88']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,88 unequal: No Solution
Exploring Operation: 9+88=97, Resulting Numbers: [97]
97,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[85, 12], Operations: ['81-72=9', '3+9=12']
Exploring Operation: 85+12=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[81, 3, 13], Operations: ['85-72=13']
Exploring Operation: 81+3=84, Resulting Numbers: [13, 84]
Generated Node #0,1,0: 88:[13, 84] Operation: 81+3=84
Exploring Operation: 81/3=27, Resulting Numbers: [13, 27]
Generated Node #0,1,1: 88:[13, 27] Operation: 81/3=27
Moving to Node #0,1,0
Current State: 88:[13, 84], Operations: ['85-72=13', '81+3=84']
Exploring Operation: 13+84=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[13, 27], Operations: ['85-72=13', '81/3=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,88 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 |
[
65,
46,
43,
36
] | 26 | [
"65-46=19",
"43-36=7",
"19+7=26"
] | Current State: 26:[65, 46, 43, 36], Operations: []
Exploring Operation: 65-46=19, Resulting Numbers: [43, 36, 19]
Generated Node #2: [43, 36, 19] from Operation: 65-46=19
Current State: 26:[43, 36, 19], Operations: ['65-46=19']
Exploring Operation: 43-36=7, Resulting Numbers: [19, 7]
Generated Node #3: [19, 7] from Operation: 43-36=7
Current State: 26:[19, 7], Operations: ['65-46=19', '43-36=7']
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[65, 46, 43, 36], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [46, 43, 29]
Generated Node #0,0: 26:[46, 43, 29] Operation: 65-36=29
Exploring Operation: 46-43=3, Resulting Numbers: [65, 36, 3]
Generated Node #0,1: 26:[65, 36, 3] Operation: 46-43=3
Exploring Operation: 46-36=10, Resulting Numbers: [65, 43, 10]
Generated Node #0,2: 26:[65, 43, 10] Operation: 46-36=10
Exploring Operation: 65-43=22, Resulting Numbers: [46, 36, 22]
Generated Node #0,3: 26:[46, 36, 22] Operation: 65-43=22
Exploring Operation: 65-46=19, Resulting Numbers: [43, 36, 19]
Generated Node #0,4: 26:[43, 36, 19] Operation: 65-46=19
Start Sub Search at level 1: Moving to Node #0,4
Current State: 26:[43, 36, 19], Operations: ['65-46=19']
Exploring Operation: 43-36=7, Resulting Numbers: [19, 7]
Generated Node #0,4,0: 26:[19, 7] Operation: 43-36=7
Exploring Operation: 36+19=55, Resulting Numbers: [43, 55]
Generated Node #0,4,1: 26:[43, 55] Operation: 36+19=55
Exploring Operation: 43+19=62, Resulting Numbers: [36, 62]
Generated Node #0,4,2: 26:[36, 62] Operation: 43+19=62
Exploring Operation: 36-19=17, Resulting Numbers: [43, 17]
Generated Node #0,4,3: 26:[43, 17] Operation: 36-19=17
Exploring Operation: 43-19=24, Resulting Numbers: [36, 24]
Generated Node #0,4,4: 26:[36, 24] Operation: 43-19=24
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 26:[19, 7], Operations: ['65-46=19', '43-36=7']
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[65, 46, 43, 36], Operations: []
Exploring Operation: 65-46=19, Resulting Numbers: [43, 36, 19]
Generated Node #0,4: 26:[43, 36, 19] Operation: 65-46=19
Moving to Node #0,4
Current State: 26:[43, 36, 19], Operations: ['65-46=19']
Exploring Operation: 43-36=7, Resulting Numbers: [19, 7]
Generated Node #0,4,0: 26:[19, 7] Operation: 43-36=7
Moving to Node #0,4,0
Current State: 26:[19, 7], Operations: ['65-46=19', '43-36=7']
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
6,
96,
67,
83
] | 36 | [
"6*96=576",
"83-67=16",
"576/16=36"
] | Current State: 36:[6, 96, 67, 83], Operations: []
Exploring Operation: 6*96=576, Resulting Numbers: [67, 83, 576]
Generated Node #2: [67, 83, 576] from Operation: 6*96=576
Current State: 36:[67, 83, 576], Operations: ['6*96=576']
Exploring Operation: 83-67=16, Resulting Numbers: [576, 16]
Generated Node #3: [576, 16] from Operation: 83-67=16
Current State: 36:[576, 16], Operations: ['6*96=576', '83-67=16']
Exploring Operation: 576/16=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[6, 96, 67, 83], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [67, 83, 16]
Generated Node #0,0: 36:[67, 83, 16] Operation: 96/6=16
Exploring Operation: 83-67=16, Resulting Numbers: [6, 96, 16]
Generated Node #0,1: 36:[6, 96, 16] Operation: 83-67=16
Exploring Operation: 96-83=13, Resulting Numbers: [6, 67, 13]
Generated Node #0,2: 36:[6, 67, 13] Operation: 96-83=13
Exploring Operation: 96-67=29, Resulting Numbers: [6, 83, 29]
Generated Node #0,3: 36:[6, 83, 29] Operation: 96-67=29
Moving to Node #0,2
Current State: 36:[6, 67, 13], Operations: ['96-83=13']
Exploring Operation: 67-13=54, Resulting Numbers: [6, 54]
Generated Node #0,2,0: 36:[6, 54] Operation: 67-13=54
Exploring Operation: 6+13=19, Resulting Numbers: [67, 19]
Generated Node #0,2,1: 36:[67, 19] Operation: 6+13=19
Exploring Operation: 13-6=7, Resulting Numbers: [67, 7]
Generated Node #0,2,2: 36:[67, 7] Operation: 13-6=7
Exploring Operation: 67-6=61, Resulting Numbers: [13, 61]
Generated Node #0,2,3: 36:[13, 61] Operation: 67-6=61
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 36:[6, 54], Operations: ['96-83=13', '67-13=54']
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 6+54=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 6*54=324, Resulting Numbers: [324]
324,36 unequal: No Solution
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 36:[13, 61], Operations: ['96-83=13', '67-6=61']
Exploring Operation: 13+61=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 13*61=793, Resulting Numbers: [793]
793,36 unequal: No Solution
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[67, 19], Operations: ['96-83=13', '6+13=19']
Exploring Operation: 67+19=86, Resulting Numbers: [86]
86,36 unequal: No Solution
Exploring Operation: 67*19=1273, Resulting Numbers: [1273]
1273,36 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[67, 7], Operations: ['96-83=13', '13-6=7']
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,36 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,36 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: 36:[6, 83, 29], Operations: ['96-67=29']
Exploring Operation: 83-6=77, Resulting Numbers: [29, 77]
Generated Node #0,3,0: 36:[29, 77] Operation: 83-6=77
Exploring Operation: 83-29=54, Resulting Numbers: [6, 54]
Generated Node #0,3,1: 36:[6, 54] Operation: 83-29=54
Exploring Operation: 6+29=35, Resulting Numbers: [83, 35]
Generated Node #0,3,2: 36:[83, 35] Operation: 6+29=35
Exploring Operation: 29-6=23, Resulting Numbers: [83, 23]
Generated Node #0,3,3: 36:[83, 23] Operation: 29-6=23
Moving to Node #0,1
Current State: 36:[6, 96, 16], Operations: ['83-67=16']
Exploring Operation: 96-6=90, Resulting Numbers: [16, 90]
Generated Node #0,1,0: 36:[16, 90] Operation: 96-6=90
Exploring Operation: 96/6=16, Resulting Numbers: [16, 16]
Generated Node #0,1,1: 36:[16, 16] Operation: 96/6=16
Exploring Operation: 96-16=80, Resulting Numbers: [6, 80]
Generated Node #0,1,2: 36:[6, 80] Operation: 96-16=80
Exploring Operation: 96/16=6, Resulting Numbers: [6, 6]
Generated Node #0,1,3: 36:[6, 6] Operation: 96/16=6
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 36:[6, 6], Operations: ['83-67=16', '96/16=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[6, 96, 67, 83], Operations: []
Exploring Operation: 83-67=16, Resulting Numbers: [6, 96, 16]
Generated Node #0,1: 36:[6, 96, 16] Operation: 83-67=16
Moving to Node #0,1
Current State: 36:[6, 96, 16], Operations: ['83-67=16']
Exploring Operation: 96/16=6, Resulting Numbers: [6, 6]
Generated Node #0,1,3: 36:[6, 6] Operation: 96/16=6
Moving to Node #0,1,3
Current State: 36:[6, 6], Operations: ['83-67=16', '96/16=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
51,
33,
47,
19
] | 18 | [
"51+33=84",
"47+19=66",
"84-66=18"
] | Current State: 18:[51, 33, 47, 19], Operations: []
Exploring Operation: 51+33=84, Resulting Numbers: [47, 19, 84]
Generated Node #2: [47, 19, 84] from Operation: 51+33=84
Current State: 18:[47, 19, 84], Operations: ['51+33=84']
Exploring Operation: 47+19=66, Resulting Numbers: [84, 66]
Generated Node #3: [84, 66] from Operation: 47+19=66
Current State: 18:[84, 66], Operations: ['51+33=84', '47+19=66']
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[51, 33, 47, 19], Operations: []
Exploring Operation: 51-19=32, Resulting Numbers: [33, 47, 32]
Generated Node #0,0: 18:[33, 47, 32] Operation: 51-19=32
Exploring Operation: 47-33=14, Resulting Numbers: [51, 19, 14]
Generated Node #0,1: 18:[51, 19, 14] Operation: 47-33=14
Exploring Operation: 51-47=4, Resulting Numbers: [33, 19, 4]
Generated Node #0,2: 18:[33, 19, 4] Operation: 51-47=4
Exploring Operation: 51-33=18, Resulting Numbers: [47, 19, 18]
Generated Node #0,3: 18:[47, 19, 18] Operation: 51-33=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[33, 19, 4], Operations: ['51-47=4']
Exploring Operation: 33-19=14, Resulting Numbers: [4, 14]
Generated Node #0,2,0: 18:[4, 14] Operation: 33-19=14
Exploring Operation: 19-4=15, Resulting Numbers: [33, 15]
Generated Node #0,2,1: 18:[33, 15] Operation: 19-4=15
Exploring Operation: 33+4=37, Resulting Numbers: [19, 37]
Generated Node #0,2,2: 18:[19, 37] Operation: 33+4=37
Exploring Operation: 33-4=29, Resulting Numbers: [19, 29]
Generated Node #0,2,3: 18:[19, 29] Operation: 33-4=29
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 18:[4, 14], Operations: ['51-47=4', '33-19=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[51, 33, 47, 19], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [33, 19, 4]
Generated Node #0,2: 18:[33, 19, 4] Operation: 51-47=4
Moving to Node #0,2
Current State: 18:[33, 19, 4], Operations: ['51-47=4']
Exploring Operation: 33-19=14, Resulting Numbers: [4, 14]
Generated Node #0,2,0: 18:[4, 14] Operation: 33-19=14
Moving to Node #0,2,0
Current State: 18:[4, 14], Operations: ['51-47=4', '33-19=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
29,
73,
95,
26
] | 77 | [
"73-29=44",
"95+26=121",
"121-44=77"
] | Current State: 77:[29, 73, 95, 26], Operations: []
Exploring Operation: 73-29=44, Resulting Numbers: [95, 26, 44]
Generated Node #2: [95, 26, 44] from Operation: 73-29=44
Current State: 77:[95, 26, 44], Operations: ['73-29=44']
Exploring Operation: 95+26=121, Resulting Numbers: [44, 121]
Generated Node #3: [44, 121] from Operation: 95+26=121
Current State: 77:[44, 121], Operations: ['73-29=44', '95+26=121']
Exploring Operation: 121-44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[29, 73, 95, 26], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [73, 95, 3]
Generated Node #0,0: 77:[73, 95, 3] Operation: 29-26=3
Exploring Operation: 95-26=69, Resulting Numbers: [29, 73, 69]
Generated Node #0,1: 77:[29, 73, 69] Operation: 95-26=69
Exploring Operation: 95-29=66, Resulting Numbers: [73, 26, 66]
Generated Node #0,2: 77:[73, 26, 66] Operation: 95-29=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[73, 95, 3], Operations: ['29-26=3']
Exploring Operation: 95-73=22, Resulting Numbers: [3, 22]
Generated Node #0,0,0: 77:[3, 22] Operation: 95-73=22
Exploring Operation: 73+3=76, Resulting Numbers: [95, 76]
Generated Node #0,0,1: 77:[95, 76] Operation: 73+3=76
Exploring Operation: 95-3=92, Resulting Numbers: [73, 92]
Generated Node #0,0,2: 77:[73, 92] Operation: 95-3=92
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[3, 22], Operations: ['29-26=3', '95-73=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[95, 76], Operations: ['29-26=3', '73+3=76']
Exploring Operation: 95*76=7220, Resulting Numbers: [7220]
7220,77 unequal: No Solution
Exploring Operation: 95+76=171, Resulting Numbers: [171]
171,77 unequal: No Solution
Exploring Operation: 95-76=19, Resulting Numbers: [19]
19,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 77:[73, 92], Operations: ['29-26=3', '95-3=92']
Exploring Operation: 73*92=6716, Resulting Numbers: [6716]
6716,77 unequal: No Solution
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 73+92=165, Resulting Numbers: [165]
165,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[29, 73, 69], Operations: ['95-26=69']
Exploring Operation: 73-69=4, Resulting Numbers: [29, 4]
Generated Node #0,1,0: 77:[29, 4] Operation: 73-69=4
Exploring Operation: 29+69=98, Resulting Numbers: [73, 98]
Generated Node #0,1,1: 77:[73, 98] Operation: 29+69=98
Exploring Operation: 29+73=102, Resulting Numbers: [69, 102]
Generated Node #0,1,2: 77:[69, 102] Operation: 29+73=102
Moving to Node #0,1,0
Current State: 77:[29, 4], Operations: ['95-26=69', '73-69=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,77 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[73, 98], Operations: ['95-26=69', '29+69=98']
Exploring Operation: 73*98=7154, Resulting Numbers: [7154]
7154,77 unequal: No Solution
Exploring Operation: 98-73=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 73+98=171, Resulting Numbers: [171]
171,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[69, 102], Operations: ['95-26=69', '29+73=102']
Exploring Operation: 69*102=7038, Resulting Numbers: [7038]
7038,77 unequal: No Solution
Exploring Operation: 102-69=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 69+102=171, Resulting Numbers: [171]
171,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[73, 26, 66], Operations: ['95-29=66']
Exploring Operation: 73+26=99, Resulting Numbers: [66, 99]
Generated Node #0,2,0: 77:[66, 99] Operation: 73+26=99
Exploring Operation: 73-66=7, Resulting Numbers: [26, 7]
Generated Node #0,2,1: 77:[26, 7] Operation: 73-66=7
Exploring Operation: 26+66=92, Resulting Numbers: [73, 92]
Generated Node #0,2,2: 77:[73, 92] Operation: 26+66=92
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 77:[26, 7], Operations: ['95-29=66', '73-66=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,77 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,77 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 77:[73, 92], Operations: ['95-29=66', '26+66=92']
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 73+92=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Exploring Operation: 73*92=6716, Resulting Numbers: [6716]
6716,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 77:[66, 99], Operations: ['95-29=66', '73+26=99']
Exploring Operation: 66+99=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Exploring Operation: 66*99=6534, Resulting Numbers: [6534]
6534,77 unequal: No Solution
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
91,
21,
24,
81
] | 35 | [
"91-21=70",
"24+81=105",
"105-70=35"
] | Current State: 35:[91, 21, 24, 81], Operations: []
Exploring Operation: 91-21=70, Resulting Numbers: [24, 81, 70]
Generated Node #2: [24, 81, 70] from Operation: 91-21=70
Current State: 35:[24, 81, 70], Operations: ['91-21=70']
Exploring Operation: 24+81=105, Resulting Numbers: [70, 105]
Generated Node #3: [70, 105] from Operation: 24+81=105
Current State: 35:[70, 105], Operations: ['91-21=70', '24+81=105']
Exploring Operation: 105-70=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[91, 21, 24, 81], Operations: []
Exploring Operation: 81-21=60, Resulting Numbers: [91, 24, 60]
Generated Node #0,0: 35:[91, 24, 60] Operation: 81-21=60
Exploring Operation: 81-24=57, Resulting Numbers: [91, 21, 57]
Generated Node #0,1: 35:[91, 21, 57] Operation: 81-24=57
Exploring Operation: 91-21=70, Resulting Numbers: [24, 81, 70]
Generated Node #0,2: 35:[24, 81, 70] Operation: 91-21=70
Exploring Operation: 91-24=67, Resulting Numbers: [21, 81, 67]
Generated Node #0,3: 35:[21, 81, 67] Operation: 91-24=67
Exploring Operation: 91-81=10, Resulting Numbers: [21, 24, 10]
Generated Node #0,4: 35:[21, 24, 10] Operation: 91-81=10
Start Sub Search at level 1: Moving to Node #0,4
Current State: 35:[21, 24, 10], Operations: ['91-81=10']
Exploring Operation: 24+10=34, Resulting Numbers: [21, 34]
Generated Node #0,4,0: 35:[21, 34] Operation: 24+10=34
Exploring Operation: 24-21=3, Resulting Numbers: [10, 3]
Generated Node #0,4,1: 35:[10, 3] Operation: 24-21=3
Exploring Operation: 21+24=45, Resulting Numbers: [10, 45]
Generated Node #0,4,2: 35:[10, 45] Operation: 21+24=45
Exploring Operation: 21-10=11, Resulting Numbers: [24, 11]
Generated Node #0,4,3: 35:[24, 11] Operation: 21-10=11
Exploring Operation: 21+10=31, Resulting Numbers: [24, 31]
Generated Node #0,4,4: 35:[24, 31] Operation: 21+10=31
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 35:[10, 3], Operations: ['91-81=10', '24-21=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 35:[10, 45], Operations: ['91-81=10', '21+24=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,35 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[91, 21, 24, 81], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [21, 24, 10]
Generated Node #0,4: 35:[21, 24, 10] Operation: 91-81=10
Moving to Node #0,4
Current State: 35:[21, 24, 10], Operations: ['91-81=10']
Exploring Operation: 21+24=45, Resulting Numbers: [10, 45]
Generated Node #0,4,2: 35:[10, 45] Operation: 21+24=45
Moving to Node #0,4,2
Current State: 35:[10, 45], Operations: ['91-81=10', '21+24=45']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
2,
65,
33,
56
] | 72 | [
"65-33=32",
"32/2=16",
"56+16=72"
] | Current State: 72:[2, 65, 33, 56], Operations: []
Exploring Operation: 65-33=32, Resulting Numbers: [2, 56, 32]
Generated Node #2: [2, 56, 32] from Operation: 65-33=32
Current State: 72:[2, 56, 32], Operations: ['65-33=32']
Exploring Operation: 32/2=16, Resulting Numbers: [56, 16]
Generated Node #3: [56, 16] from Operation: 32/2=16
Current State: 72:[56, 16], Operations: ['65-33=32', '32/2=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[2, 65, 33, 56], Operations: []
Exploring Operation: 65-56=9, Resulting Numbers: [2, 33, 9]
Generated Node #0,0: 72:[2, 33, 9] Operation: 65-56=9
Exploring Operation: 56-33=23, Resulting Numbers: [2, 65, 23]
Generated Node #0,1: 72:[2, 65, 23] Operation: 56-33=23
Exploring Operation: 56/2=28, Resulting Numbers: [65, 33, 28]
Generated Node #0,2: 72:[65, 33, 28] Operation: 56/2=28
Exploring Operation: 65-33=32, Resulting Numbers: [2, 56, 32]
Generated Node #0,3: 72:[2, 56, 32] Operation: 65-33=32
Exploring Operation: 2+65=67, Resulting Numbers: [33, 56, 67]
Generated Node #0,4: 72:[33, 56, 67] Operation: 2+65=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[2, 33, 9], Operations: ['65-56=9']
Exploring Operation: 2+33=35, Resulting Numbers: [9, 35]
Generated Node #0,0,0: 72:[9, 35] Operation: 2+33=35
Exploring Operation: 2*9=18, Resulting Numbers: [33, 18]
Generated Node #0,0,1: 72:[33, 18] Operation: 2*9=18
Exploring Operation: 33-9=24, Resulting Numbers: [2, 24]
Generated Node #0,0,2: 72:[2, 24] Operation: 33-9=24
Exploring Operation: 9-2=7, Resulting Numbers: [33, 7]
Generated Node #0,0,3: 72:[33, 7] Operation: 9-2=7
Exploring Operation: 2+9=11, Resulting Numbers: [33, 11]
Generated Node #0,0,4: 72:[33, 11] Operation: 2+9=11
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 72:[2, 24], Operations: ['65-56=9', '33-9=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,72 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,72 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,72 unequal: No Solution
No 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: 72:[9, 35], Operations: ['65-56=9', '2+33=35']
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,72 unequal: No Solution
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,72 unequal: No Solution
No 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: 72:[33, 18], Operations: ['65-56=9', '2*9=18']
Exploring Operation: 33*18=594, Resulting Numbers: [594]
594,72 unequal: No Solution
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,72 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,72 unequal: No Solution
No 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: 72:[33, 7], Operations: ['65-56=9', '9-2=7']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,72 unequal: No Solution
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 33*7=231, Resulting Numbers: [231]
231,72 unequal: No Solution
No 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: 72:[33, 11], Operations: ['65-56=9', '2+9=11']
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Exploring Operation: 33*11=363, Resulting Numbers: [363]
363,72 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,72 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[2, 65, 23], Operations: ['56-33=23']
Exploring Operation: 65-2=63, Resulting Numbers: [23, 63]
Generated Node #0,1,0: 72:[23, 63] Operation: 65-2=63
Exploring Operation: 2+65=67, Resulting Numbers: [23, 67]
Generated Node #0,1,1: 72:[23, 67] Operation: 2+65=67
Exploring Operation: 65-23=42, Resulting Numbers: [2, 42]
Generated Node #0,1,2: 72:[2, 42] Operation: 65-23=42
Exploring Operation: 2+23=25, Resulting Numbers: [65, 25]
Generated Node #0,1,3: 72:[65, 25] Operation: 2+23=25
Exploring Operation: 23-2=21, Resulting Numbers: [65, 21]
Generated Node #0,1,4: 72:[65, 21] Operation: 23-2=21
Moving to Node #0,1,1
Current State: 72:[23, 67], Operations: ['56-33=23', '2+65=67']
Exploring Operation: 23*67=1541, Resulting Numbers: [1541]
1541,72 unequal: No Solution
Exploring Operation: 23+67=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[2, 42], Operations: ['56-33=23', '65-23=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,72 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[65, 25], Operations: ['56-33=23', '2+23=25']
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 65*25=1625, Resulting Numbers: [1625]
1625,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[23, 63], Operations: ['56-33=23', '65-2=63']
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Exploring Operation: 23*63=1449, Resulting Numbers: [1449]
1449,72 unequal: No Solution
Exploring Operation: 23+63=86, Resulting Numbers: [86]
86,72 unequal: No Solution
Moving to Node #0,1,4
Current State: 72:[65, 21], Operations: ['56-33=23', '23-2=21']
Exploring Operation: 65*21=1365, Resulting Numbers: [1365]
1365,72 unequal: No Solution
Exploring Operation: 65+21=86, Resulting Numbers: [86]
86,72 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[65, 33, 28], Operations: ['56/2=28']
Exploring Operation: 33+28=61, Resulting Numbers: [65, 61]
Generated Node #0,2,0: 72:[65, 61] Operation: 33+28=61
Exploring Operation: 33-28=5, Resulting Numbers: [65, 5]
Generated Node #0,2,1: 72:[65, 5] Operation: 33-28=5
Exploring Operation: 65-28=37, Resulting Numbers: [33, 37]
Generated Node #0,2,2: 72:[33, 37] Operation: 65-28=37
Exploring Operation: 65-33=32, Resulting Numbers: [28, 32]
Generated Node #0,2,3: 72:[28, 32] Operation: 65-33=32
Exploring Operation: 65+28=93, Resulting Numbers: [33, 93]
Generated Node #0,2,4: 72:[33, 93] Operation: 65+28=93
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 72:[33, 37], Operations: ['56/2=28', '65-28=37']
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,72 unequal: No Solution
Exploring Operation: 33+37=70, Resulting Numbers: [70]
70,72 unequal: No Solution
Exploring Operation: 33*37=1221, Resulting Numbers: [1221]
1221,72 unequal: No Solution
No 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: 72:[65, 5], Operations: ['56/2=28', '33-28=5']
Exploring Operation: 65+5=70, Resulting Numbers: [70]
70,72 unequal: No Solution
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 65*5=325, Resulting Numbers: [325]
325,72 unequal: No Solution
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,72 unequal: No Solution
No 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: 72:[28, 32], Operations: ['56/2=28', '65-33=32']
Exploring Operation: 28*32=896, Resulting Numbers: [896]
896,72 unequal: No Solution
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,72 unequal: No Solution
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,72 unequal: No Solution
No 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: 72:[65, 61], Operations: ['56/2=28', '33+28=61']
Exploring Operation: 65+61=126, Resulting Numbers: [126]
126,72 unequal: No Solution
Exploring Operation: 65-61=4, Resulting Numbers: [4]
4,72 unequal: No Solution
Exploring Operation: 65*61=3965, Resulting Numbers: [3965]
3965,72 unequal: No Solution
No 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: 72:[33, 93], Operations: ['56/2=28', '65+28=93']
Exploring Operation: 93-33=60, Resulting Numbers: [60]
60,72 unequal: No Solution
Exploring Operation: 33+93=126, Resulting Numbers: [126]
126,72 unequal: No Solution
Exploring Operation: 33*93=3069, Resulting Numbers: [3069]
3069,72 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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 72:[2, 56, 32], Operations: ['65-33=32']
Exploring Operation: 56+32=88, Resulting Numbers: [2, 88]
Generated Node #0,3,0: 72:[2, 88] Operation: 56+32=88
Exploring Operation: 56/2=28, Resulting Numbers: [32, 28]
Generated Node #0,3,1: 72:[32, 28] Operation: 56/2=28
Exploring Operation: 2+56=58, Resulting Numbers: [32, 58]
Generated Node #0,3,2: 72:[32, 58] Operation: 2+56=58
Exploring Operation: 2+32=34, Resulting Numbers: [56, 34]
Generated Node #0,3,3: 72:[56, 34] Operation: 2+32=34
Exploring Operation: 56-32=24, Resulting Numbers: [2, 24]
Generated Node #0,3,4: 72:[2, 24] Operation: 56-32=24
Moving to Node #0,3,4
Current State: 72:[2, 24], Operations: ['65-33=32', '56-32=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,72 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,72 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Moving to Node #0,3,1
Current State: 72:[32, 28], Operations: ['65-33=32', '56/2=28']
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,72 unequal: No Solution
Exploring Operation: 32+28=60, Resulting Numbers: [60]
60,72 unequal: No Solution
Exploring Operation: 32*28=896, Resulting Numbers: [896]
896,72 unequal: No Solution
Moving to Node #0,3,0
Current State: 72:[2, 88], Operations: ['65-33=32', '56+32=88']
Exploring Operation: 2*88=176, Resulting Numbers: [176]
176,72 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[32, 58], Operations: ['65-33=32', '2+56=58']
Exploring Operation: 32*58=1856, Resulting Numbers: [1856]
1856,72 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,72 unequal: No Solution
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[56, 34], Operations: ['65-33=32', '2+32=34']
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 56*34=1904, Resulting Numbers: [1904]
1904,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 72:[33, 56, 67], Operations: ['2+65=67']
Exploring Operation: 67-56=11, Resulting Numbers: [33, 11]
Generated Node #0,4,0: 72:[33, 11] Operation: 67-56=11
Exploring Operation: 67-33=34, Resulting Numbers: [56, 34]
Generated Node #0,4,1: 72:[56, 34] Operation: 67-33=34
Exploring Operation: 33+56=89, Resulting Numbers: [67, 89]
Generated Node #0,4,2: 72:[67, 89] Operation: 33+56=89
Exploring Operation: 56-33=23, Resulting Numbers: [67, 23]
Generated Node #0,4,3: 72:[67, 23] Operation: 56-33=23
Exploring Operation: 33+67=100, Resulting Numbers: [56, 100]
Generated Node #0,4,4: 72:[56, 100] Operation: 33+67=100
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 72:[33, 11], Operations: ['2+65=67', '67-56=11']
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Exploring Operation: 33*11=363, Resulting Numbers: [363]
363,72 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,72 unequal: No Solution
No 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: 72:[67, 23], Operations: ['2+65=67', '56-33=23']
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,72 unequal: No Solution
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 72:[56, 34], Operations: ['2+65=67', '67-33=34']
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 56*34=1904, Resulting Numbers: [1904]
1904,72 unequal: No Solution
No 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: 72:[67, 89], Operations: ['2+65=67', '33+56=89']
Exploring Operation: 67+89=156, Resulting Numbers: [156]
156,72 unequal: No Solution
Exploring Operation: 67*89=5963, Resulting Numbers: [5963]
5963,72 unequal: No Solution
Exploring Operation: 89-67=22, Resulting Numbers: [22]
22,72 unequal: No Solution
No 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: 72:[56, 100], Operations: ['2+65=67', '33+67=100']
Exploring Operation: 100-56=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Exploring Operation: 56*100=5600, Resulting Numbers: [5600]
5600,72 unequal: No Solution
Exploring Operation: 56+100=156, Resulting Numbers: [156]
156,72 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_5 | sum_heuristic |
[
35,
87,
17,
26
] | 13 | [
"35*26=910",
"87-17=70",
"910/70=13"
] | Current State: 13:[35, 87, 17, 26], Operations: []
Exploring Operation: 35*26=910, Resulting Numbers: [87, 17, 910]
Generated Node #2: [87, 17, 910] from Operation: 35*26=910
Current State: 13:[87, 17, 910], Operations: ['35*26=910']
Exploring Operation: 87-17=70, Resulting Numbers: [910, 70]
Generated Node #3: [910, 70] from Operation: 87-17=70
Current State: 13:[910, 70], Operations: ['35*26=910', '87-17=70']
Exploring Operation: 910/70=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[35, 87, 17, 26], Operations: []
Exploring Operation: 87-35=52, Resulting Numbers: [17, 26, 52]
Generated Node #0,0: 13:[17, 26, 52] Operation: 87-35=52
Exploring Operation: 87-26=61, Resulting Numbers: [35, 17, 61]
Generated Node #0,1: 13:[35, 17, 61] Operation: 87-26=61
Moving to Node #0,0
Current State: 13:[17, 26, 52], Operations: ['87-35=52']
Exploring Operation: 52-26=26, Resulting Numbers: [17, 26]
Generated Node #0,0,0: 13:[17, 26] Operation: 52-26=26
Exploring Operation: 52/26=2, Resulting Numbers: [17, 2]
Generated Node #0,0,1: 13:[17, 2] Operation: 52/26=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[17, 2], Operations: ['87-35=52', '52/26=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,13 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,13 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:[17, 26], Operations: ['87-35=52', '52-26=26']
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,13 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,13 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: 13:[35, 17, 61], Operations: ['87-26=61']
Exploring Operation: 61-35=26, Resulting Numbers: [17, 26]
Generated Node #0,1,0: 13:[17, 26] Operation: 61-35=26
Exploring Operation: 35-17=18, Resulting Numbers: [61, 18]
Generated Node #0,1,1: 13:[61, 18] Operation: 35-17=18
Moving to Node #0,1,0
Current State: 13:[17, 26], Operations: ['87-26=61', '61-35=26']
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,13 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[61, 18], Operations: ['87-26=61', '35-17=18']
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,13 unequal: No Solution
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,13 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
91,
65,
7,
4
] | 56 | [
"91/7=13",
"65+4=69",
"69-13=56"
] | Current State: 56:[91, 65, 7, 4], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [65, 4, 13]
Generated Node #2: [65, 4, 13] from Operation: 91/7=13
Current State: 56:[65, 4, 13], Operations: ['91/7=13']
Exploring Operation: 65+4=69, Resulting Numbers: [13, 69]
Generated Node #3: [13, 69] from Operation: 65+4=69
Current State: 56:[13, 69], Operations: ['91/7=13', '65+4=69']
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[91, 65, 7, 4], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [65, 4, 13]
Generated Node #0,0: 56:[65, 4, 13] Operation: 91/7=13
Exploring Operation: 91-7=84, Resulting Numbers: [65, 4, 84]
Generated Node #0,1: 56:[65, 4, 84] Operation: 91-7=84
Exploring Operation: 91-65=26, Resulting Numbers: [7, 4, 26]
Generated Node #0,2: 56:[7, 4, 26] Operation: 91-65=26
Moving to Node #0,2
Current State: 56:[7, 4, 26], Operations: ['91-65=26']
Exploring Operation: 7*4=28, Resulting Numbers: [26, 28]
Generated Node #0,2,0: 56:[26, 28] Operation: 7*4=28
Exploring Operation: 7-4=3, Resulting Numbers: [26, 3]
Generated Node #0,2,1: 56:[26, 3] Operation: 7-4=3
Exploring Operation: 4+26=30, Resulting Numbers: [7, 30]
Generated Node #0,2,2: 56:[7, 30] Operation: 4+26=30
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[26, 28], Operations: ['91-65=26', '7*4=28']
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Exploring Operation: 26*28=728, Resulting Numbers: [728]
728,56 unequal: No Solution
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,56 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 #0,2,2
Current State: 56:[7, 30], Operations: ['91-65=26', '4+26=30']
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
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,56 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:[26, 3], Operations: ['91-65=26', '7-4=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,56 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, 4, 13], Operations: ['91/7=13']
Exploring Operation: 65/13=5, Resulting Numbers: [4, 5]
Generated Node #0,0,0: 56:[4, 5] Operation: 65/13=5
Exploring Operation: 65-4=61, Resulting Numbers: [13, 61]
Generated Node #0,0,1: 56:[13, 61] Operation: 65-4=61
Exploring Operation: 65-13=52, Resulting Numbers: [4, 52]
Generated Node #0,0,2: 56:[4, 52] Operation: 65-13=52
Moving to Node #0,1
Current State: 56:[65, 4, 84], Operations: ['91-7=84']
Exploring Operation: 84/4=21, Resulting Numbers: [65, 21]
Generated Node #0,1,0: 56:[65, 21] Operation: 84/4=21
Exploring Operation: 65-4=61, Resulting Numbers: [84, 61]
Generated Node #0,1,1: 56:[84, 61] Operation: 65-4=61
Exploring Operation: 84-65=19, Resulting Numbers: [4, 19]
Generated Node #0,1,2: 56:[4, 19] Operation: 84-65=19
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 56:[4, 19], Operations: ['91-7=84', '84-65=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,56 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:[65, 21], Operations: ['91-7=84', '84/4=21']
Exploring Operation: 65*21=1365, Resulting Numbers: [1365]
1365,56 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Exploring Operation: 65+21=86, Resulting Numbers: [86]
86,56 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 #0,1,1
Current State: 56:[84, 61], Operations: ['91-7=84', '65-4=61']
Exploring Operation: 84+61=145, Resulting Numbers: [145]
145,56 unequal: No Solution
Exploring Operation: 84*61=5124, Resulting Numbers: [5124]
5124,56 unequal: No Solution
Exploring Operation: 84-61=23, Resulting Numbers: [23]
23,56 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: 56:[4, 5], Operations: ['91/7=13', '65/13=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[4, 52], Operations: ['91/7=13', '65-13=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[91, 65, 7, 4], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [65, 4, 13]
Generated Node #0,0: 56:[65, 4, 13] Operation: 91/7=13
Moving to Node #0,0
Current State: 56:[65, 4, 13], Operations: ['91/7=13']
Exploring Operation: 65-13=52, Resulting Numbers: [4, 52]
Generated Node #0,0,2: 56:[4, 52] Operation: 65-13=52
Moving to Node #0,0,2
Current State: 56:[4, 52], Operations: ['91/7=13', '65-13=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 0.967014 | hs_3 | mult_heuristic |
[
18,
24,
28,
89
] | 79 | [
"24-18=6",
"28*6=168",
"168-89=79"
] | Current State: 79:[18, 24, 28, 89], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [28, 89, 6]
Generated Node #2: [28, 89, 6] from Operation: 24-18=6
Current State: 79:[28, 89, 6], Operations: ['24-18=6']
Exploring Operation: 28*6=168, Resulting Numbers: [89, 168]
Generated Node #3: [89, 168] from Operation: 28*6=168
Current State: 79:[89, 168], Operations: ['24-18=6', '28*6=168']
Exploring Operation: 168-89=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[18, 24, 28, 89], Operations: []
Exploring Operation: 18+28=46, Resulting Numbers: [24, 89, 46]
Generated Node #0,0: 79:[24, 89, 46] Operation: 18+28=46
Exploring Operation: 18+24=42, Resulting Numbers: [28, 89, 42]
Generated Node #0,1: 79:[28, 89, 42] Operation: 18+24=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[24, 89, 46], Operations: ['18+28=46']
Exploring Operation: 24+46=70, Resulting Numbers: [89, 70]
Generated Node #0,0,0: 79:[89, 70] Operation: 24+46=70
Exploring Operation: 89-24=65, Resulting Numbers: [46, 65]
Generated Node #0,0,1: 79:[46, 65] Operation: 89-24=65
Moving to Node #0,0,0
Current State: 79:[89, 70], Operations: ['18+28=46', '24+46=70']
Exploring Operation: 89+70=159, Resulting Numbers: [159]
159,79 unequal: No Solution
Exploring Operation: 89-70=19, Resulting Numbers: [19]
19,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[46, 65], Operations: ['18+28=46', '89-24=65']
Exploring Operation: 46+65=111, Resulting Numbers: [111]
111,79 unequal: No Solution
Exploring Operation: 65-46=19, Resulting Numbers: [19]
19,79 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:[28, 89, 42], Operations: ['18+24=42']
Exploring Operation: 89-28=61, Resulting Numbers: [42, 61]
Generated Node #0,1,0: 79:[42, 61] Operation: 89-28=61
Exploring Operation: 28+42=70, Resulting Numbers: [89, 70]
Generated Node #0,1,1: 79:[89, 70] Operation: 28+42=70
Moving to Node #0,1,1
Current State: 79:[89, 70], Operations: ['18+24=42', '28+42=70']
Exploring Operation: 89+70=159, Resulting Numbers: [159]
159,79 unequal: No Solution
Exploring Operation: 89-70=19, Resulting Numbers: [19]
19,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[42, 61], Operations: ['18+24=42', '89-28=61']
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,79 unequal: No Solution
Exploring Operation: 42+61=103, Resulting Numbers: [103]
103,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
10,
39,
63
] | 16 | [
"10-2=8",
"63-39=24",
"24-8=16"
] | Current State: 16:[2, 10, 39, 63], Operations: []
Exploring Operation: 10-2=8, Resulting Numbers: [39, 63, 8]
Generated Node #2: [39, 63, 8] from Operation: 10-2=8
Current State: 16:[39, 63, 8], Operations: ['10-2=8']
Exploring Operation: 63-39=24, Resulting Numbers: [8, 24]
Generated Node #3: [8, 24] from Operation: 63-39=24
Current State: 16:[8, 24], Operations: ['10-2=8', '63-39=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[2, 10, 39, 63], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [2, 10, 24]
Generated Node #0,0: 16:[2, 10, 24] Operation: 63-39=24
Exploring Operation: 39-10=29, Resulting Numbers: [2, 63, 29]
Generated Node #0,1: 16:[2, 63, 29] Operation: 39-10=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[2, 10, 24], Operations: ['63-39=24']
Exploring Operation: 24/2=12, Resulting Numbers: [10, 12]
Generated Node #0,0,0: 16:[10, 12] Operation: 24/2=12
Exploring Operation: 24-10=14, Resulting Numbers: [2, 14]
Generated Node #0,0,1: 16:[2, 14] Operation: 24-10=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 16:[2, 14], Operations: ['63-39=24', '24-10=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[2, 10, 39, 63], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [2, 10, 24]
Generated Node #0,0: 16:[2, 10, 24] Operation: 63-39=24
Moving to Node #0,0
Current State: 16:[2, 10, 24], Operations: ['63-39=24']
Exploring Operation: 24-10=14, Resulting Numbers: [2, 14]
Generated Node #0,0,1: 16:[2, 14] Operation: 24-10=14
Moving to Node #0,0,1
Current State: 16:[2, 14], Operations: ['63-39=24', '24-10=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
48,
5,
49,
32
] | 60 | [
"48-5=43",
"49-32=17",
"43+17=60"
] | Current State: 60:[48, 5, 49, 32], Operations: []
Exploring Operation: 48-5=43, Resulting Numbers: [49, 32, 43]
Generated Node #2: [49, 32, 43] from Operation: 48-5=43
Current State: 60:[49, 32, 43], Operations: ['48-5=43']
Exploring Operation: 49-32=17, Resulting Numbers: [43, 17]
Generated Node #3: [43, 17] from Operation: 49-32=17
Current State: 60:[43, 17], Operations: ['48-5=43', '49-32=17']
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[48, 5, 49, 32], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [5, 49, 16]
Generated Node #0,0: 60:[5, 49, 16] Operation: 48-32=16
Exploring Operation: 49-48=1, Resulting Numbers: [5, 32, 1]
Generated Node #0,1: 60:[5, 32, 1] Operation: 49-48=1
Moving to Node #0,1
Current State: 60:[5, 32, 1], Operations: ['49-48=1']
Exploring Operation: 32-1=31, Resulting Numbers: [5, 31]
Generated Node #0,1,0: 60:[5, 31] Operation: 32-1=31
Exploring Operation: 5+1=6, Resulting Numbers: [32, 6]
Generated Node #0,1,1: 60:[32, 6] Operation: 5+1=6
Moving to Node #0,0
Current State: 60:[5, 49, 16], Operations: ['48-32=16']
Exploring Operation: 49+16=65, Resulting Numbers: [5, 65]
Generated Node #0,0,0: 60:[5, 65] Operation: 49+16=65
Exploring Operation: 49-16=33, Resulting Numbers: [5, 33]
Generated Node #0,0,1: 60:[5, 33] Operation: 49-16=33
Moving to Node #0,1,0
Current State: 60:[5, 31], Operations: ['49-48=1', '32-1=31']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[32, 6], Operations: ['49-48=1', '5+1=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[5, 33], Operations: ['48-32=16', '49-16=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[5, 65], Operations: ['48-32=16', '49+16=65']
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[48, 5, 49, 32], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [5, 49, 16]
Generated Node #0,0: 60:[5, 49, 16] Operation: 48-32=16
Moving to Node #0,0
Current State: 60:[5, 49, 16], Operations: ['48-32=16']
Exploring Operation: 49+16=65, Resulting Numbers: [5, 65]
Generated Node #0,0,0: 60:[5, 65] Operation: 49+16=65
Moving to Node #0,0,0
Current State: 60:[5, 65], Operations: ['48-32=16', '49+16=65']
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.985243 | hs_2 | mult_heuristic |
[
34,
1,
7,
5
] | 69 | [
"34*1=34",
"7*5=35",
"34+35=69"
] | Current State: 69:[34, 1, 7, 5], Operations: []
Exploring Operation: 34*1=34, Resulting Numbers: [7, 5, 34]
Generated Node #2: [7, 5, 34] from Operation: 34*1=34
Current State: 69:[7, 5, 34], Operations: ['34*1=34']
Exploring Operation: 7*5=35, Resulting Numbers: [34, 35]
Generated Node #3: [34, 35] from Operation: 7*5=35
Current State: 69:[34, 35], Operations: ['34*1=34', '7*5=35']
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[34, 1, 7, 5], Operations: []
Exploring Operation: 34-7=27, Resulting Numbers: [1, 5, 27]
Generated Node #0,0: 69:[1, 5, 27] Operation: 34-7=27
Moving to Node #0,0
Current State: 69:[1, 5, 27], Operations: ['34-7=27']
Exploring Operation: 27-5=22, Resulting Numbers: [1, 22]
Generated Node #0,0,0: 69:[1, 22] Operation: 27-5=22
Moving to Node #0,0,0
Current State: 69:[1, 22], Operations: ['34-7=27', '27-5=22']
Exploring Operation: 1+22=23, Resulting Numbers: [23]
23,69 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
38,
92,
76,
74
] | 20 | [
"38+92=130",
"76+74=150",
"150-130=20"
] | Current State: 20:[38, 92, 76, 74], Operations: []
Exploring Operation: 38+92=130, Resulting Numbers: [76, 74, 130]
Generated Node #2: [76, 74, 130] from Operation: 38+92=130
Current State: 20:[76, 74, 130], Operations: ['38+92=130']
Exploring Operation: 76+74=150, Resulting Numbers: [130, 150]
Generated Node #3: [130, 150] from Operation: 76+74=150
Current State: 20:[130, 150], Operations: ['38+92=130', '76+74=150']
Exploring Operation: 150-130=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[38, 92, 76, 74], Operations: []
Exploring Operation: 92-38=54, Resulting Numbers: [76, 74, 54]
Generated Node #0,0: 20:[76, 74, 54] Operation: 92-38=54
Exploring Operation: 92-74=18, Resulting Numbers: [38, 76, 18]
Generated Node #0,1: 20:[38, 76, 18] Operation: 92-74=18
Exploring Operation: 76-74=2, Resulting Numbers: [38, 92, 2]
Generated Node #0,2: 20:[38, 92, 2] Operation: 76-74=2
Exploring Operation: 92-76=16, Resulting Numbers: [38, 74, 16]
Generated Node #0,3: 20:[38, 74, 16] Operation: 92-76=16
Exploring Operation: 76/38=2, Resulting Numbers: [92, 74, 2]
Generated Node #0,4: 20:[92, 74, 2] Operation: 76/38=2
Moving to Node #0,1
Current State: 20:[38, 76, 18], Operations: ['92-74=18']
Exploring Operation: 76-38=38, Resulting Numbers: [18, 38]
Generated Node #0,1,0: 20:[18, 38] Operation: 76-38=38
Exploring Operation: 76-18=58, Resulting Numbers: [38, 58]
Generated Node #0,1,1: 20:[38, 58] Operation: 76-18=58
Exploring Operation: 38+18=56, Resulting Numbers: [76, 56]
Generated Node #0,1,2: 20:[76, 56] Operation: 38+18=56
Exploring Operation: 38-18=20, Resulting Numbers: [76, 20]
Generated Node #0,1,3: 20:[76, 20] Operation: 38-18=20
Exploring Operation: 76/38=2, Resulting Numbers: [18, 2]
Generated Node #0,1,4: 20:[18, 2] Operation: 76/38=2
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 20:[18, 2], Operations: ['92-74=18', '76/38=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[38, 92, 76, 74], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [38, 76, 18]
Generated Node #0,1: 20:[38, 76, 18] Operation: 92-74=18
Moving to Node #0,1
Current State: 20:[38, 76, 18], Operations: ['92-74=18']
Exploring Operation: 76/38=2, Resulting Numbers: [18, 2]
Generated Node #0,1,4: 20:[18, 2] Operation: 76/38=2
Moving to Node #0,1,4
Current State: 20:[18, 2], Operations: ['92-74=18', '76/38=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
75,
2,
55,
69
] | 34 | [
"75+69=144",
"2*55=110",
"144-110=34"
] | Current State: 34:[75, 2, 55, 69], Operations: []
Exploring Operation: 75+69=144, Resulting Numbers: [2, 55, 144]
Generated Node #2: [2, 55, 144] from Operation: 75+69=144
Current State: 34:[2, 55, 144], Operations: ['75+69=144']
Exploring Operation: 2*55=110, Resulting Numbers: [144, 110]
Generated Node #3: [144, 110] from Operation: 2*55=110
Current State: 34:[144, 110], Operations: ['75+69=144', '2*55=110']
Exploring Operation: 144-110=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[75, 2, 55, 69], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [75, 2, 14]
Generated Node #0,0: 34:[75, 2, 14] Operation: 69-55=14
Exploring Operation: 75-55=20, Resulting Numbers: [2, 69, 20]
Generated Node #0,1: 34:[2, 69, 20] Operation: 75-55=20
Exploring Operation: 75-2=73, Resulting Numbers: [55, 69, 73]
Generated Node #0,2: 34:[55, 69, 73] Operation: 75-2=73
Exploring Operation: 75-69=6, Resulting Numbers: [2, 55, 6]
Generated Node #0,3: 34:[2, 55, 6] Operation: 75-69=6
Moving to Node #0,3
Current State: 34:[2, 55, 6], Operations: ['75-69=6']
Exploring Operation: 55-2=53, Resulting Numbers: [6, 53]
Generated Node #0,3,0: 34:[6, 53] Operation: 55-2=53
Exploring Operation: 6/2=3, Resulting Numbers: [55, 3]
Generated Node #0,3,1: 34:[55, 3] Operation: 6/2=3
Exploring Operation: 55-6=49, Resulting Numbers: [2, 49]
Generated Node #0,3,2: 34:[2, 49] Operation: 55-6=49
Exploring Operation: 6-2=4, Resulting Numbers: [55, 4]
Generated Node #0,3,3: 34:[55, 4] Operation: 6-2=4
Moving to Node #0,1
Current State: 34:[2, 69, 20], Operations: ['75-55=20']
Exploring Operation: 69-2=67, Resulting Numbers: [20, 67]
Generated Node #0,1,0: 34:[20, 67] Operation: 69-2=67
Exploring Operation: 2+69=71, Resulting Numbers: [20, 71]
Generated Node #0,1,1: 34:[20, 71] Operation: 2+69=71
Exploring Operation: 69-20=49, Resulting Numbers: [2, 49]
Generated Node #0,1,2: 34:[2, 49] Operation: 69-20=49
Exploring Operation: 20-2=18, Resulting Numbers: [69, 18]
Generated Node #0,1,3: 34:[69, 18] Operation: 20-2=18
Moving to Node #0,0
Current State: 34:[75, 2, 14], Operations: ['69-55=14']
Exploring Operation: 75+2=77, Resulting Numbers: [14, 77]
Generated Node #0,0,0: 34:[14, 77] Operation: 75+2=77
Exploring Operation: 75-14=61, Resulting Numbers: [2, 61]
Generated Node #0,0,1: 34:[2, 61] Operation: 75-14=61
Exploring Operation: 2+14=16, Resulting Numbers: [75, 16]
Generated Node #0,0,2: 34:[75, 16] Operation: 2+14=16
Exploring Operation: 75-2=73, Resulting Numbers: [14, 73]
Generated Node #0,0,3: 34:[14, 73] Operation: 75-2=73
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[2, 61], Operations: ['69-55=14', '75-14=61']
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,34 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,34 unequal: No Solution
No 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: 34:[75, 16], Operations: ['69-55=14', '2+14=16']
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,34 unequal: No Solution
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,34 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,34 unequal: No Solution
No 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: 34:[14, 73], Operations: ['69-55=14', '75-2=73']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 14*73=1022, Resulting Numbers: [1022]
1022,34 unequal: No Solution
Exploring Operation: 14+73=87, Resulting Numbers: [87]
87,34 unequal: No Solution
No 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: 34:[14, 77], Operations: ['69-55=14', '75+2=77']
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,34 unequal: No Solution
Exploring Operation: 14*77=1078, Resulting Numbers: [1078]
1078,34 unequal: No Solution
Exploring Operation: 14+77=91, Resulting Numbers: [91]
91,34 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: 34:[55, 69, 73], Operations: ['75-2=73']
Exploring Operation: 69-55=14, Resulting Numbers: [73, 14]
Generated Node #0,2,0: 34:[73, 14] Operation: 69-55=14
Exploring Operation: 55+69=124, Resulting Numbers: [73, 124]
Generated Node #0,2,1: 34:[73, 124] Operation: 55+69=124
Exploring Operation: 73-55=18, Resulting Numbers: [69, 18]
Generated Node #0,2,2: 34:[69, 18] Operation: 73-55=18
Exploring Operation: 73-69=4, Resulting Numbers: [55, 4]
Generated Node #0,2,3: 34:[55, 4] Operation: 73-69=4
Moving to Node #0,3,2
Current State: 34:[2, 49], Operations: ['75-69=6', '55-6=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,34 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[2, 49], Operations: ['75-55=20', '69-20=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,34 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Moving to Node #0,3,1
Current State: 34:[55, 3], Operations: ['75-69=6', '6/2=3']
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,34 unequal: No Solution
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,34 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,34 unequal: No Solution
Moving to Node #0,3,0
Current State: 34:[6, 53], Operations: ['75-69=6', '55-2=53']
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,34 unequal: No Solution
Moving to Node #0,3,3
Current State: 34:[55, 4], Operations: ['75-69=6', '6-2=4']
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,34 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[55, 4], Operations: ['75-2=73', '73-69=4']
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,34 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Moving to Node #0,1,3
Current State: 34:[69, 18], Operations: ['75-55=20', '20-2=18']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,34 unequal: No Solution
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[20, 67], Operations: ['75-55=20', '69-2=67']
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,34 unequal: No Solution
Exploring Operation: 20*67=1340, Resulting Numbers: [1340]
1340,34 unequal: No Solution
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[69, 18], Operations: ['75-2=73', '73-55=18']
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,34 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[20, 71], Operations: ['75-55=20', '2+69=71']
Exploring Operation: 20+71=91, Resulting Numbers: [91]
91,34 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 20*71=1420, Resulting Numbers: [1420]
1420,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[73, 14], Operations: ['75-2=73', '69-55=14']
Exploring Operation: 73*14=1022, Resulting Numbers: [1022]
1022,34 unequal: No Solution
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,34 unequal: No Solution
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[73, 124], Operations: ['75-2=73', '55+69=124']
Exploring Operation: 73*124=9052, Resulting Numbers: [9052]
9052,34 unequal: No Solution
Exploring Operation: 73+124=197, Resulting Numbers: [197]
197,34 unequal: No Solution
Exploring Operation: 124-73=51, Resulting Numbers: [51]
51,34 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
33,
79,
13,
56
] | 15 | [
"33+79=112",
"112/56=2",
"13+2=15"
] | Current State: 15:[33, 79, 13, 56], Operations: []
Exploring Operation: 33+79=112, Resulting Numbers: [13, 56, 112]
Generated Node #2: [13, 56, 112] from Operation: 33+79=112
Current State: 15:[13, 56, 112], Operations: ['33+79=112']
Exploring Operation: 112/56=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 112/56=2
Current State: 15:[13, 2], Operations: ['33+79=112', '112/56=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[33, 79, 13, 56], Operations: []
Exploring Operation: 79-56=23, Resulting Numbers: [33, 13, 23]
Generated Node #0,0: 15:[33, 13, 23] Operation: 79-56=23
Exploring Operation: 79-33=46, Resulting Numbers: [13, 56, 46]
Generated Node #0,1: 15:[13, 56, 46] Operation: 79-33=46
Exploring Operation: 56-33=23, Resulting Numbers: [79, 13, 23]
Generated Node #0,2: 15:[79, 13, 23] Operation: 56-33=23
Exploring Operation: 33-13=20, Resulting Numbers: [79, 56, 20]
Generated Node #0,3: 15:[79, 56, 20] Operation: 33-13=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[33, 13, 23], Operations: ['79-56=23']
Exploring Operation: 23-13=10, Resulting Numbers: [33, 10]
Generated Node #0,0,0: 15:[33, 10] Operation: 23-13=10
Exploring Operation: 33-13=20, Resulting Numbers: [23, 20]
Generated Node #0,0,1: 15:[23, 20] Operation: 33-13=20
Exploring Operation: 33-23=10, Resulting Numbers: [13, 10]
Generated Node #0,0,2: 15:[13, 10] Operation: 33-23=10
Exploring Operation: 33+13=46, Resulting Numbers: [23, 46]
Generated Node #0,0,3: 15:[23, 46] Operation: 33+13=46
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 15:[13, 10], Operations: ['79-56=23', '33-23=10']
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,15 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[23, 20], Operations: ['79-56=23', '33-13=20']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,15 unequal: No Solution
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[33, 10], Operations: ['79-56=23', '23-13=10']
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,15 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 15:[23, 46], Operations: ['79-56=23', '33+13=46']
Exploring Operation: 23*46=1058, Resulting Numbers: [1058]
1058,15 unequal: No Solution
Exploring Operation: 23+46=69, Resulting Numbers: [69]
69,15 unequal: No Solution
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[13, 56, 46], Operations: ['79-33=46']
Exploring Operation: 56-13=43, Resulting Numbers: [46, 43]
Generated Node #0,1,0: 15:[46, 43] Operation: 56-13=43
Exploring Operation: 56-46=10, Resulting Numbers: [13, 10]
Generated Node #0,1,1: 15:[13, 10] Operation: 56-46=10
Exploring Operation: 13+56=69, Resulting Numbers: [46, 69]
Generated Node #0,1,2: 15:[46, 69] Operation: 13+56=69
Exploring Operation: 46-13=33, Resulting Numbers: [56, 33]
Generated Node #0,1,3: 15:[56, 33] Operation: 46-13=33
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[13, 10], Operations: ['79-33=46', '56-46=10']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,15 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[46, 43], Operations: ['79-33=46', '56-13=43']
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 46*43=1978, Resulting Numbers: [1978]
1978,15 unequal: No Solution
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 15:[56, 33], Operations: ['79-33=46', '46-13=33']
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 56+33=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 56*33=1848, Resulting Numbers: [1848]
1848,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 15:[46, 69], Operations: ['79-33=46', '13+56=69']
Exploring Operation: 46+69=115, Resulting Numbers: [115]
115,15 unequal: No Solution
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 46*69=3174, Resulting Numbers: [3174]
3174,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[79, 13, 23], Operations: ['56-33=23']
Exploring Operation: 79-13=66, Resulting Numbers: [23, 66]
Generated Node #0,2,0: 15:[23, 66] Operation: 79-13=66
Exploring Operation: 79-23=56, Resulting Numbers: [13, 56]
Generated Node #0,2,1: 15:[13, 56] Operation: 79-23=56
Exploring Operation: 79+13=92, Resulting Numbers: [23, 92]
Generated Node #0,2,2: 15:[23, 92] Operation: 79+13=92
Exploring Operation: 23-13=10, Resulting Numbers: [79, 10]
Generated Node #0,2,3: 15:[79, 10] Operation: 23-13=10
Moving to Node #0,2,1
Current State: 15:[13, 56], Operations: ['56-33=23', '79-23=56']
Exploring Operation: 13*56=728, Resulting Numbers: [728]
728,15 unequal: No Solution
Exploring Operation: 13+56=69, Resulting Numbers: [69]
69,15 unequal: No Solution
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[23, 66], Operations: ['56-33=23', '79-13=66']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 23+66=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 23*66=1518, Resulting Numbers: [1518]
1518,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[79, 10], Operations: ['56-33=23', '23-13=10']
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,15 unequal: No Solution
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 79*10=790, Resulting Numbers: [790]
790,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[23, 92], Operations: ['56-33=23', '79+13=92']
Exploring Operation: 92/23=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 23*92=2116, Resulting Numbers: [2116]
2116,15 unequal: No Solution
Exploring Operation: 23+92=115, Resulting Numbers: [115]
115,15 unequal: No Solution
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[79, 56, 20], Operations: ['33-13=20']
Exploring Operation: 79-56=23, Resulting Numbers: [20, 23]
Generated Node #0,3,0: 15:[20, 23] Operation: 79-56=23
Exploring Operation: 79+56=135, Resulting Numbers: [20, 135]
Generated Node #0,3,1: 15:[20, 135] Operation: 79+56=135
Exploring Operation: 56-20=36, Resulting Numbers: [79, 36]
Generated Node #0,3,2: 15:[79, 36] Operation: 56-20=36
Exploring Operation: 79-20=59, Resulting Numbers: [56, 59]
Generated Node #0,3,3: 15:[56, 59] Operation: 79-20=59
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 15:[20, 23], Operations: ['33-13=20', '79-56=23']
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,15 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 15:[79, 36], Operations: ['33-13=20', '56-20=36']
Exploring Operation: 79*36=2844, Resulting Numbers: [2844]
2844,15 unequal: No Solution
Exploring Operation: 79+36=115, Resulting Numbers: [115]
115,15 unequal: No Solution
Exploring Operation: 79-36=43, Resulting Numbers: [43]
43,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 15:[56, 59], Operations: ['33-13=20', '79-20=59']
Exploring Operation: 56+59=115, Resulting Numbers: [115]
115,15 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 56*59=3304, Resulting Numbers: [3304]
3304,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 15:[20, 135], Operations: ['33-13=20', '79+56=135']
Exploring Operation: 20*135=2700, Resulting Numbers: [2700]
2700,15 unequal: No Solution
Exploring Operation: 20+135=155, Resulting Numbers: [155]
155,15 unequal: No Solution
Exploring Operation: 135-20=115, Resulting Numbers: [115]
115,15 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_4 | mult_heuristic |
[
17,
98,
6,
34
] | 86 | [
"34/17=2",
"6*2=12",
"98-12=86"
] | Current State: 86:[17, 98, 6, 34], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [98, 6, 2]
Generated Node #2: [98, 6, 2] from Operation: 34/17=2
Current State: 86:[98, 6, 2], Operations: ['34/17=2']
Exploring Operation: 6*2=12, Resulting Numbers: [98, 12]
Generated Node #3: [98, 12] from Operation: 6*2=12
Current State: 86:[98, 12], Operations: ['34/17=2', '6*2=12']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[17, 98, 6, 34], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [98, 6, 2]
Generated Node #0,0: 86:[98, 6, 2] Operation: 34/17=2
Moving to Node #0,0
Current State: 86:[98, 6, 2], Operations: ['34/17=2']
Exploring Operation: 98-6=92, Resulting Numbers: [2, 92]
Generated Node #0,0,0: 86:[2, 92] Operation: 98-6=92
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[2, 92], Operations: ['34/17=2', '98-6=92']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,86 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 |
[
42,
58,
58,
9
] | 65 | [
"58-42=16",
"58-9=49",
"16+49=65"
] | Current State: 65:[42, 58, 58, 9], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [9, 16]
Generated Node #2: [9, 16] from Operation: 58-42=16
Current State: 65:[9, 16], Operations: ['58-42=16']
Exploring Operation: 58-9=49, Resulting Numbers: [16, 49]
Generated Node #3: [16, 49] from Operation: 58-9=49
Current State: 65:[16, 49], Operations: ['58-42=16', '58-9=49']
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[42, 58, 58, 9], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [58, 9, 16]
Generated Node #0,0: 65:[58, 9, 16] Operation: 58-42=16
Moving to Node #0,0
Current State: 65:[58, 9, 16], Operations: ['58-42=16']
Exploring Operation: 58+9=67, Resulting Numbers: [16, 67]
Generated Node #0,0,0: 65:[16, 67] Operation: 58+9=67
Moving to Node #0,0,0
Current State: 65:[16, 67], Operations: ['58-42=16', '58+9=67']
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,65 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
38,
7,
1,
77
] | 32 | [
"38+7=45",
"1*77=77",
"77-45=32"
] | Current State: 32:[38, 7, 1, 77], Operations: []
Exploring Operation: 38+7=45, Resulting Numbers: [1, 77, 45]
Generated Node #2: [1, 77, 45] from Operation: 38+7=45
Current State: 32:[1, 77, 45], Operations: ['38+7=45']
Exploring Operation: 1*77=77, Resulting Numbers: [45, 77]
Generated Node #3: [45, 77] from Operation: 1*77=77
Current State: 32:[45, 77], Operations: ['38+7=45', '1*77=77']
Exploring Operation: 77-45=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[38, 7, 1, 77], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [38, 1, 11]
Generated Node #0,0: 32:[38, 1, 11] Operation: 77/7=11
Exploring Operation: 77-38=39, Resulting Numbers: [7, 1, 39]
Generated Node #0,1: 32:[7, 1, 39] Operation: 77-38=39
Moving to Node #0,1
Current State: 32:[7, 1, 39], Operations: ['77-38=39']
Exploring Operation: 39-7=32, Resulting Numbers: [1, 32]
Generated Node #0,1,0: 32:[1, 32] Operation: 39-7=32
Exploring Operation: 7+1=8, Resulting Numbers: [39, 8]
Generated Node #0,1,1: 32:[39, 8] Operation: 7+1=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[1, 32], Operations: ['77-38=39', '39-7=32']
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[38, 7, 1, 77], Operations: []
Exploring Operation: 77-38=39, Resulting Numbers: [7, 1, 39]
Generated Node #0,1: 32:[7, 1, 39] Operation: 77-38=39
Moving to Node #0,1
Current State: 32:[7, 1, 39], Operations: ['77-38=39']
Exploring Operation: 39-7=32, Resulting Numbers: [1, 32]
Generated Node #0,1,0: 32:[1, 32] Operation: 39-7=32
Moving to Node #0,1,0
Current State: 32:[1, 32], Operations: ['77-38=39', '39-7=32']
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
41,
20,
23,
85
] | 38 | [
"23-20=3",
"41*3=123",
"123-85=38"
] | Current State: 38:[41, 20, 23, 85], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [41, 85, 3]
Generated Node #2: [41, 85, 3] from Operation: 23-20=3
Current State: 38:[41, 85, 3], Operations: ['23-20=3']
Exploring Operation: 41*3=123, Resulting Numbers: [85, 123]
Generated Node #3: [85, 123] from Operation: 41*3=123
Current State: 38:[85, 123], Operations: ['23-20=3', '41*3=123']
Exploring Operation: 123-85=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[41, 20, 23, 85], Operations: []
Exploring Operation: 85-20=65, Resulting Numbers: [41, 23, 65]
Generated Node #0,0: 38:[41, 23, 65] Operation: 85-20=65
Exploring Operation: 85-23=62, Resulting Numbers: [41, 20, 62]
Generated Node #0,1: 38:[41, 20, 62] Operation: 85-23=62
Exploring Operation: 85-41=44, Resulting Numbers: [20, 23, 44]
Generated Node #0,2: 38:[20, 23, 44] Operation: 85-41=44
Moving to Node #0,2
Current State: 38:[20, 23, 44], Operations: ['85-41=44']
Exploring Operation: 23-20=3, Resulting Numbers: [44, 3]
Generated Node #0,2,0: 38:[44, 3] Operation: 23-20=3
Exploring Operation: 44-23=21, Resulting Numbers: [20, 21]
Generated Node #0,2,1: 38:[20, 21] Operation: 44-23=21
Exploring Operation: 44-20=24, Resulting Numbers: [23, 24]
Generated Node #0,2,2: 38:[23, 24] Operation: 44-20=24
Moving to Node #0,1
Current State: 38:[41, 20, 62], Operations: ['85-23=62']
Exploring Operation: 41-20=21, Resulting Numbers: [62, 21]
Generated Node #0,1,0: 38:[62, 21] Operation: 41-20=21
Exploring Operation: 62-20=42, Resulting Numbers: [41, 42]
Generated Node #0,1,1: 38:[41, 42] Operation: 62-20=42
Exploring Operation: 62-41=21, Resulting Numbers: [20, 21]
Generated Node #0,1,2: 38:[20, 21] Operation: 62-41=21
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 38:[20, 21], Operations: ['85-23=62', '62-41=21']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[41, 42], Operations: ['85-23=62', '62-20=42']
Exploring Operation: 41*42=1722, Resulting Numbers: [1722]
1722,38 unequal: No Solution
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 41+42=83, Resulting Numbers: [83]
83,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[62, 21], Operations: ['85-23=62', '41-20=21']
Exploring Operation: 62*21=1302, Resulting Numbers: [1302]
1302,38 unequal: No Solution
Exploring Operation: 62-21=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 62+21=83, Resulting Numbers: [83]
83,38 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: 38:[41, 23, 65], Operations: ['85-20=65']
Exploring Operation: 65-23=42, Resulting Numbers: [41, 42]
Generated Node #0,0,0: 38:[41, 42] Operation: 65-23=42
Exploring Operation: 65-41=24, Resulting Numbers: [23, 24]
Generated Node #0,0,1: 38:[23, 24] Operation: 65-41=24
Exploring Operation: 41-23=18, Resulting Numbers: [65, 18]
Generated Node #0,0,2: 38:[65, 18] Operation: 41-23=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[41, 42], Operations: ['85-20=65', '65-23=42']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 41+42=83, Resulting Numbers: [83]
83,38 unequal: No Solution
Exploring Operation: 41*42=1722, Resulting Numbers: [1722]
1722,38 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 #0,0,1
Current State: 38:[23, 24], Operations: ['85-20=65', '65-41=24']
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,38 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,38 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:[65, 18], Operations: ['85-20=65', '41-23=18']
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,38 unequal: No Solution
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,38 unequal: No Solution
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 38:[20, 21], Operations: ['85-41=44', '44-23=21']
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,38 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[44, 3], Operations: ['85-41=44', '23-20=3']
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,38 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[23, 24], Operations: ['85-41=44', '44-20=24']
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,38 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,38 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
30,
28,
80,
22
] | 36 | [
"30-28=2",
"22*2=44",
"80-44=36"
] | Current State: 36:[30, 28, 80, 22], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [80, 22, 2]
Generated Node #2: [80, 22, 2] from Operation: 30-28=2
Current State: 36:[80, 22, 2], Operations: ['30-28=2']
Exploring Operation: 22*2=44, Resulting Numbers: [80, 44]
Generated Node #3: [80, 44] from Operation: 22*2=44
Current State: 36:[80, 44], Operations: ['30-28=2', '22*2=44']
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[30, 28, 80, 22], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [30, 22, 52]
Generated Node #0,0: 36:[30, 22, 52] Operation: 80-28=52
Exploring Operation: 30-28=2, Resulting Numbers: [80, 22, 2]
Generated Node #0,1: 36:[80, 22, 2] Operation: 30-28=2
Exploring Operation: 28-22=6, Resulting Numbers: [30, 80, 6]
Generated Node #0,2: 36:[30, 80, 6] Operation: 28-22=6
Exploring Operation: 80-22=58, Resulting Numbers: [30, 28, 58]
Generated Node #0,3: 36:[30, 28, 58] Operation: 80-22=58
Exploring Operation: 80-30=50, Resulting Numbers: [28, 22, 50]
Generated Node #0,4: 36:[28, 22, 50] Operation: 80-30=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[30, 22, 52], Operations: ['80-28=52']
Exploring Operation: 30+22=52, Resulting Numbers: [52, 52]
Generated Node #0,0,0: 36:[52, 52] Operation: 30+22=52
Exploring Operation: 52-30=22, Resulting Numbers: [22, 22]
Generated Node #0,0,1: 36:[22, 22] Operation: 52-30=22
Exploring Operation: 30-22=8, Resulting Numbers: [52, 8]
Generated Node #0,0,2: 36:[52, 8] Operation: 30-22=8
Exploring Operation: 52-22=30, Resulting Numbers: [30, 30]
Generated Node #0,0,3: 36:[30, 30] Operation: 52-22=30
Exploring Operation: 22+52=74, Resulting Numbers: [30, 74]
Generated Node #0,0,4: 36:[30, 74] Operation: 22+52=74
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[22, 22], Operations: ['80-28=52', '52-30=22']
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,36 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No 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: 36:[30, 30], Operations: ['80-28=52', '52-22=30']
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,36 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No 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: 36:[52, 8], Operations: ['80-28=52', '30-22=8']
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 52*8=416, Resulting Numbers: [416]
416,36 unequal: No Solution
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,36 unequal: No Solution
No 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: 36:[52, 52], Operations: ['80-28=52', '30+22=52']
Exploring Operation: 52*52=2704, Resulting Numbers: [2704]
2704,36 unequal: No Solution
Exploring Operation: 52+52=104, Resulting Numbers: [104]
104,36 unequal: No Solution
Exploring Operation: 52/52=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 52-52=0, Resulting Numbers: [0]
0,36 unequal: No Solution
No 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: 36:[30, 74], Operations: ['80-28=52', '22+52=74']
Exploring Operation: 30*74=2220, Resulting Numbers: [2220]
2220,36 unequal: No Solution
Exploring Operation: 30+74=104, Resulting Numbers: [104]
104,36 unequal: No Solution
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,36 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: 36:[28, 22, 50], Operations: ['80-30=50']
Exploring Operation: 28-22=6, Resulting Numbers: [50, 6]
Generated Node #0,4,0: 36:[50, 6] Operation: 28-22=6
Exploring Operation: 22+50=72, Resulting Numbers: [28, 72]
Generated Node #0,4,1: 36:[28, 72] Operation: 22+50=72
Exploring Operation: 50-22=28, Resulting Numbers: [28, 28]
Generated Node #0,4,2: 36:[28, 28] Operation: 50-22=28
Exploring Operation: 50-28=22, Resulting Numbers: [22, 22]
Generated Node #0,4,3: 36:[22, 22] Operation: 50-28=22
Exploring Operation: 28+22=50, Resulting Numbers: [50, 50]
Generated Node #0,4,4: 36:[50, 50] Operation: 28+22=50
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 36:[22, 22], Operations: ['80-30=50', '50-28=22']
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,36 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,36 unequal: No Solution
No 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: 36:[50, 6], Operations: ['80-30=50', '28-22=6']
Exploring Operation: 50*6=300, Resulting Numbers: [300]
300,36 unequal: No Solution
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,36 unequal: No Solution
No 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: 36:[28, 28], Operations: ['80-30=50', '50-22=28']
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,36 unequal: No Solution
No 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: 36:[50, 50], Operations: ['80-30=50', '28+22=50']
Exploring Operation: 50+50=100, Resulting Numbers: [100]
100,36 unequal: No Solution
Exploring Operation: 50-50=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 50/50=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 50*50=2500, Resulting Numbers: [2500]
2500,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 36:[28, 72], Operations: ['80-30=50', '22+50=72']
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 28+72=100, Resulting Numbers: [100]
100,36 unequal: No Solution
Exploring Operation: 28*72=2016, Resulting Numbers: [2016]
2016,36 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: 36:[30, 28, 58], Operations: ['80-22=58']
Exploring Operation: 58-30=28, Resulting Numbers: [28, 28]
Generated Node #0,3,0: 36:[28, 28] Operation: 58-30=28
Exploring Operation: 30-28=2, Resulting Numbers: [58, 2]
Generated Node #0,3,1: 36:[58, 2] Operation: 30-28=2
Exploring Operation: 58-28=30, Resulting Numbers: [30, 30]
Generated Node #0,3,2: 36:[30, 30] Operation: 58-28=30
Exploring Operation: 28+58=86, Resulting Numbers: [30, 86]
Generated Node #0,3,3: 36:[30, 86] Operation: 28+58=86
Exploring Operation: 30+28=58, Resulting Numbers: [58, 58]
Generated Node #0,3,4: 36:[58, 58] Operation: 30+28=58
Moving to Node #0,3,2
Current State: 36:[30, 30], Operations: ['80-22=58', '58-28=30']
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,36 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[28, 28], Operations: ['80-22=58', '58-30=28']
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,36 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Moving to Node #0,3,1
Current State: 36:[58, 2], Operations: ['80-22=58', '30-28=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,36 unequal: No Solution
Moving to Node #0,3,4
Current State: 36:[58, 58], Operations: ['80-22=58', '30+28=58']
Exploring Operation: 58/58=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 58+58=116, Resulting Numbers: [116]
116,36 unequal: No Solution
Exploring Operation: 58-58=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 58*58=3364, Resulting Numbers: [3364]
3364,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[30, 86], Operations: ['80-22=58', '28+58=86']
Exploring Operation: 30*86=2580, Resulting Numbers: [2580]
2580,36 unequal: No Solution
Exploring Operation: 30+86=116, Resulting Numbers: [116]
116,36 unequal: No Solution
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[80, 22, 2], Operations: ['30-28=2']
Exploring Operation: 22-2=20, Resulting Numbers: [80, 20]
Generated Node #0,1,0: 36:[80, 20] Operation: 22-2=20
Exploring Operation: 22/2=11, Resulting Numbers: [80, 11]
Generated Node #0,1,1: 36:[80, 11] Operation: 22/2=11
Exploring Operation: 80/2=40, Resulting Numbers: [22, 40]
Generated Node #0,1,2: 36:[22, 40] Operation: 80/2=40
Exploring Operation: 80-22=58, Resulting Numbers: [2, 58]
Generated Node #0,1,3: 36:[2, 58] Operation: 80-22=58
Exploring Operation: 80-2=78, Resulting Numbers: [22, 78]
Generated Node #0,1,4: 36:[22, 78] Operation: 80-2=78
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 36:[22, 40], Operations: ['30-28=2', '80/2=40']
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,36 unequal: No Solution
Exploring Operation: 22*40=880, Resulting Numbers: [880]
880,36 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,36 unequal: No Solution
No 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: 36:[2, 58], Operations: ['30-28=2', '80-22=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 2*58=116, Resulting Numbers: [116]
116,36 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,36 unequal: No Solution
No 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: 36:[80, 11], Operations: ['30-28=2', '22/2=11']
Exploring Operation: 80*11=880, Resulting Numbers: [880]
880,36 unequal: No Solution
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,36 unequal: No Solution
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,36 unequal: No Solution
No 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: 36:[80, 20], Operations: ['30-28=2', '22-2=20']
Exploring Operation: 80/20=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 80*20=1600, Resulting Numbers: [1600]
1600,36 unequal: No Solution
Exploring Operation: 80+20=100, Resulting Numbers: [100]
100,36 unequal: No Solution
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,36 unequal: No Solution
No 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: 36:[22, 78], Operations: ['30-28=2', '80-2=78']
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 22*78=1716, Resulting Numbers: [1716]
1716,36 unequal: No Solution
Exploring Operation: 22+78=100, Resulting Numbers: [100]
100,36 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: 36:[30, 80, 6], Operations: ['28-22=6']
Exploring Operation: 30/6=5, Resulting Numbers: [80, 5]
Generated Node #0,2,0: 36:[80, 5] Operation: 30/6=5
Exploring Operation: 30-6=24, Resulting Numbers: [80, 24]
Generated Node #0,2,1: 36:[80, 24] Operation: 30-6=24
Exploring Operation: 30+6=36, Resulting Numbers: [80, 36]
Generated Node #0,2,2: 36:[80, 36] Operation: 30+6=36
Exploring Operation: 80-30=50, Resulting Numbers: [6, 50]
Generated Node #0,2,3: 36:[6, 50] Operation: 80-30=50
Exploring Operation: 80-6=74, Resulting Numbers: [30, 74]
Generated Node #0,2,4: 36:[30, 74] Operation: 80-6=74
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 36:[6, 50], Operations: ['28-22=6', '80-30=50']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 6*50=300, Resulting Numbers: [300]
300,36 unequal: No Solution
Exploring Operation: 6+50=56, Resulting Numbers: [56]
56,36 unequal: No Solution
No 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: 36:[80, 36], Operations: ['28-22=6', '30+6=36']
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 80*36=2880, Resulting Numbers: [2880]
2880,36 unequal: No Solution
Exploring Operation: 80+36=116, Resulting Numbers: [116]
116,36 unequal: No Solution
No 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: 36:[30, 74], Operations: ['28-22=6', '80-6=74']
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 30*74=2220, Resulting Numbers: [2220]
2220,36 unequal: No Solution
Exploring Operation: 30+74=104, Resulting Numbers: [104]
104,36 unequal: No Solution
No 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: 36:[80, 5], Operations: ['28-22=6', '30/6=5']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,36 unequal: No Solution
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 80*5=400, Resulting Numbers: [400]
400,36 unequal: No Solution
Exploring Operation: 80+5=85, Resulting Numbers: [85]
85,36 unequal: No Solution
No 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: 36:[80, 24], Operations: ['28-22=6', '30-6=24']
Exploring Operation: 80-24=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 80+24=104, Resulting Numbers: [104]
104,36 unequal: No Solution
Exploring Operation: 80*24=1920, Resulting Numbers: [1920]
1920,36 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 |
[
10,
24,
20,
17
] | 71 | [
"10+24=34",
"20+17=37",
"34+37=71"
] | Current State: 71:[10, 24, 20, 17], Operations: []
Exploring Operation: 10+24=34, Resulting Numbers: [20, 17, 34]
Generated Node #2: [20, 17, 34] from Operation: 10+24=34
Current State: 71:[20, 17, 34], Operations: ['10+24=34']
Exploring Operation: 20+17=37, Resulting Numbers: [34, 37]
Generated Node #3: [34, 37] from Operation: 20+17=37
Current State: 71:[34, 37], Operations: ['10+24=34', '20+17=37']
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[10, 24, 20, 17], Operations: []
Exploring Operation: 10+24=34, Resulting Numbers: [20, 17, 34]
Generated Node #0,0: 71:[20, 17, 34] Operation: 10+24=34
Moving to Node #0,0
Current State: 71:[20, 17, 34], Operations: ['10+24=34']
Exploring Operation: 20+17=37, Resulting Numbers: [34, 37]
Generated Node #0,0,0: 71:[34, 37] Operation: 20+17=37
Moving to Node #0,0,0
Current State: 71:[34, 37], Operations: ['10+24=34', '20+17=37']
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[10, 24, 20, 17], Operations: []
Exploring Operation: 10+24=34, Resulting Numbers: [20, 17, 34]
Generated Node #0,0: 71:[20, 17, 34] Operation: 10+24=34
Moving to Node #0,0
Current State: 71:[20, 17, 34], Operations: ['10+24=34']
Exploring Operation: 20+17=37, Resulting Numbers: [34, 37]
Generated Node #0,0,0: 71:[34, 37] Operation: 20+17=37
Moving to Node #0,0,0
Current State: 71:[34, 37], Operations: ['10+24=34', '20+17=37']
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
44,
44,
15,
70
] | 54 | [
"44/44=1",
"70-15=55",
"55-1=54"
] | Current State: 54:[44, 44, 15, 70], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [15, 70, 1]
Generated Node #2: [15, 70, 1] from Operation: 44/44=1
Current State: 54:[15, 70, 1], Operations: ['44/44=1']
Exploring Operation: 70-15=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 70-15=55
Current State: 54:[1, 55], Operations: ['44/44=1', '70-15=55']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[44, 44, 15, 70], Operations: []
Exploring Operation: 70-44=26, Resulting Numbers: [44, 15, 26]
Generated Node #0,0: 54:[44, 15, 26] Operation: 70-44=26
Exploring Operation: 44/44=1, Resulting Numbers: [15, 70, 1]
Generated Node #0,1: 54:[15, 70, 1] Operation: 44/44=1
Exploring Operation: 70-44=26, Resulting Numbers: [44, 15, 26]
Generated Node #0,2: 54:[44, 15, 26] Operation: 70-44=26
Moving to Node #0,0
Current State: 54:[44, 15, 26], Operations: ['70-44=26']
Exploring Operation: 44-15=29, Resulting Numbers: [26, 29]
Generated Node #0,0,0: 54:[26, 29] Operation: 44-15=29
Exploring Operation: 44-26=18, Resulting Numbers: [15, 18]
Generated Node #0,0,1: 54:[15, 18] Operation: 44-26=18
Exploring Operation: 44+15=59, Resulting Numbers: [26, 59]
Generated Node #0,0,2: 54:[26, 59] Operation: 44+15=59
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[26, 29], Operations: ['70-44=26', '44-15=29']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 26*29=754, Resulting Numbers: [754]
754,54 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[15, 18], Operations: ['70-44=26', '44-26=18']
Exploring Operation: 15*18=270, Resulting Numbers: [270]
270,54 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 54:[26, 59], Operations: ['70-44=26', '44+15=59']
Exploring Operation: 26*59=1534, Resulting Numbers: [1534]
1534,54 unequal: No Solution
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,54 unequal: No Solution
Exploring Operation: 26+59=85, Resulting Numbers: [85]
85,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 54:[44, 15, 26], Operations: ['70-44=26']
Exploring Operation: 44+15=59, Resulting Numbers: [26, 59]
Generated Node #0,2,0: 54:[26, 59] Operation: 44+15=59
Exploring Operation: 44-15=29, Resulting Numbers: [26, 29]
Generated Node #0,2,1: 54:[26, 29] Operation: 44-15=29
Exploring Operation: 44-26=18, Resulting Numbers: [15, 18]
Generated Node #0,2,2: 54:[15, 18] Operation: 44-26=18
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 54:[26, 29], Operations: ['70-44=26', '44-15=29']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 26*29=754, Resulting Numbers: [754]
754,54 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 54:[15, 18], Operations: ['70-44=26', '44-26=18']
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,54 unequal: No Solution
Exploring Operation: 15*18=270, Resulting Numbers: [270]
270,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 54:[26, 59], Operations: ['70-44=26', '44+15=59']
Exploring Operation: 26*59=1534, Resulting Numbers: [1534]
1534,54 unequal: No Solution
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,54 unequal: No Solution
Exploring Operation: 26+59=85, Resulting Numbers: [85]
85,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 54:[15, 70, 1], Operations: ['44/44=1']
Exploring Operation: 15+1=16, Resulting Numbers: [70, 16]
Generated Node #0,1,0: 54:[70, 16] Operation: 15+1=16
Exploring Operation: 70-1=69, Resulting Numbers: [15, 69]
Generated Node #0,1,1: 54:[15, 69] Operation: 70-1=69
Exploring Operation: 70-15=55, Resulting Numbers: [1, 55]
Generated Node #0,1,2: 54:[1, 55] Operation: 70-15=55
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 54:[1, 55], Operations: ['44/44=1', '70-15=55']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[44, 44, 15, 70], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [15, 70, 1]
Generated Node #0,1: 54:[15, 70, 1] Operation: 44/44=1
Moving to Node #0,1
Current State: 54:[15, 70, 1], Operations: ['44/44=1']
Exploring Operation: 70-15=55, Resulting Numbers: [1, 55]
Generated Node #0,1,2: 54:[1, 55] Operation: 70-15=55
Moving to Node #0,1,2
Current State: 54:[1, 55], Operations: ['44/44=1', '70-15=55']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | mult_heuristic |
[
43,
64,
88,
5
] | 62 | [
"64-43=21",
"88-5=83",
"83-21=62"
] | Current State: 62:[43, 64, 88, 5], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [88, 5, 21]
Generated Node #2: [88, 5, 21] from Operation: 64-43=21
Current State: 62:[88, 5, 21], Operations: ['64-43=21']
Exploring Operation: 88-5=83, Resulting Numbers: [21, 83]
Generated Node #3: [21, 83] from Operation: 88-5=83
Current State: 62:[21, 83], Operations: ['64-43=21', '88-5=83']
Exploring Operation: 83-21=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[43, 64, 88, 5], Operations: []
Exploring Operation: 88-43=45, Resulting Numbers: [64, 5, 45]
Generated Node #0,0: 62:[64, 5, 45] Operation: 88-43=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[64, 5, 45], Operations: ['88-43=45']
Exploring Operation: 45/5=9, Resulting Numbers: [64, 9]
Generated Node #0,0,0: 62:[64, 9] Operation: 45/5=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[64, 9], Operations: ['88-43=45', '45/5=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
11,
46,
77,
49
] | 53 | [
"77/11=7",
"49/7=7",
"46+7=53"
] | Current State: 53:[11, 46, 77, 49], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [46, 49, 7]
Generated Node #2: [46, 49, 7] from Operation: 77/11=7
Current State: 53:[46, 49, 7], Operations: ['77/11=7']
Exploring Operation: 49/7=7, Resulting Numbers: [46, 7]
Generated Node #3: [46, 7] from Operation: 49/7=7
Current State: 53:[46, 7], Operations: ['77/11=7', '49/7=7']
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[11, 46, 77, 49], Operations: []
Exploring Operation: 11+46=57, Resulting Numbers: [77, 49, 57]
Generated Node #0,0: 53:[77, 49, 57] Operation: 11+46=57
Exploring Operation: 11+49=60, Resulting Numbers: [46, 77, 60]
Generated Node #0,1: 53:[46, 77, 60] Operation: 11+49=60
Exploring Operation: 77-11=66, Resulting Numbers: [46, 49, 66]
Generated Node #0,2: 53:[46, 49, 66] Operation: 77-11=66
Moving to Node #0,2
Current State: 53:[46, 49, 66], Operations: ['77-11=66']
Exploring Operation: 46+49=95, Resulting Numbers: [66, 95]
Generated Node #0,2,0: 53:[66, 95] Operation: 46+49=95
Exploring Operation: 66-49=17, Resulting Numbers: [46, 17]
Generated Node #0,2,1: 53:[46, 17] Operation: 66-49=17
Exploring Operation: 66-46=20, Resulting Numbers: [49, 20]
Generated Node #0,2,2: 53:[49, 20] Operation: 66-46=20
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[49, 20], Operations: ['77-11=66', '66-46=20']
Exploring Operation: 49*20=980, Resulting Numbers: [980]
980,53 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[46, 17], Operations: ['77-11=66', '66-49=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[66, 95], Operations: ['77-11=66', '46+49=95']
Exploring Operation: 95-66=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 66*95=6270, Resulting Numbers: [6270]
6270,53 unequal: No Solution
Exploring Operation: 66+95=161, Resulting Numbers: [161]
161,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 53:[77, 49, 57], Operations: ['11+46=57']
Exploring Operation: 77-57=20, Resulting Numbers: [49, 20]
Generated Node #0,0,0: 53:[49, 20] Operation: 77-57=20
Exploring Operation: 77-49=28, Resulting Numbers: [57, 28]
Generated Node #0,0,1: 53:[57, 28] Operation: 77-49=28
Exploring Operation: 57-49=8, Resulting Numbers: [77, 8]
Generated Node #0,0,2: 53:[77, 8] Operation: 57-49=8
Moving to Node #0,1
Current State: 53:[46, 77, 60], Operations: ['11+49=60']
Exploring Operation: 60-46=14, Resulting Numbers: [77, 14]
Generated Node #0,1,0: 53:[77, 14] Operation: 60-46=14
Exploring Operation: 77-46=31, Resulting Numbers: [60, 31]
Generated Node #0,1,1: 53:[60, 31] Operation: 77-46=31
Exploring Operation: 77-60=17, Resulting Numbers: [46, 17]
Generated Node #0,1,2: 53:[46, 17] Operation: 77-60=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[60, 31], Operations: ['11+49=60', '77-46=31']
Exploring Operation: 60*31=1860, Resulting Numbers: [1860]
1860,53 unequal: No Solution
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 60+31=91, Resulting Numbers: [91]
91,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[46, 17], Operations: ['11+49=60', '77-60=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[77, 14], Operations: ['11+49=60', '60-46=14']
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 77*14=1078, Resulting Numbers: [1078]
1078,53 unequal: No Solution
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 53:[57, 28], Operations: ['11+46=57', '77-49=28']
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,53 unequal: No Solution
Exploring Operation: 57*28=1596, Resulting Numbers: [1596]
1596,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[49, 20], Operations: ['11+46=57', '77-57=20']
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,53 unequal: No Solution
Exploring Operation: 49*20=980, Resulting Numbers: [980]
980,53 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[77, 8], Operations: ['11+46=57', '57-49=8']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,53 unequal: No Solution
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,53 unequal: No Solution
Exploring Operation: 77*8=616, Resulting Numbers: [616]
616,53 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
30,
83,
5,
16
] | 92 | [
"30+83=113",
"5+16=21",
"113-21=92"
] | Current State: 92:[30, 83, 5, 16], Operations: []
Exploring Operation: 30+83=113, Resulting Numbers: [5, 16, 113]
Generated Node #2: [5, 16, 113] from Operation: 30+83=113
Current State: 92:[5, 16, 113], Operations: ['30+83=113']
Exploring Operation: 5+16=21, Resulting Numbers: [113, 21]
Generated Node #3: [113, 21] from Operation: 5+16=21
Current State: 92:[113, 21], Operations: ['30+83=113', '5+16=21']
Exploring Operation: 113-21=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[30, 83, 5, 16], Operations: []
Exploring Operation: 83+16=99, Resulting Numbers: [30, 5, 99]
Generated Node #0,0: 92:[30, 5, 99] Operation: 83+16=99
Exploring Operation: 83-30=53, Resulting Numbers: [5, 16, 53]
Generated Node #0,1: 92:[5, 16, 53] Operation: 83-30=53
Exploring Operation: 30+16=46, Resulting Numbers: [83, 5, 46]
Generated Node #0,2: 92:[83, 5, 46] Operation: 30+16=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[83, 5, 46], Operations: ['30+16=46']
Exploring Operation: 83-46=37, Resulting Numbers: [5, 37]
Generated Node #0,2,0: 92:[5, 37] Operation: 83-46=37
Exploring Operation: 83-5=78, Resulting Numbers: [46, 78]
Generated Node #0,2,1: 92:[46, 78] Operation: 83-5=78
Exploring Operation: 83+5=88, Resulting Numbers: [46, 88]
Generated Node #0,2,2: 92:[46, 88] Operation: 83+5=88
Moving to Node #0,2,2
Current State: 92:[46, 88], Operations: ['30+16=46', '83+5=88']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 46+88=134, Resulting Numbers: [134]
134,92 unequal: No Solution
Exploring Operation: 46*88=4048, Resulting Numbers: [4048]
4048,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[5, 37], Operations: ['30+16=46', '83-46=37']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[46, 78], Operations: ['30+16=46', '83-5=78']
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Exploring Operation: 46*78=3588, Resulting Numbers: [3588]
3588,92 unequal: No Solution
Exploring Operation: 46+78=124, Resulting Numbers: [124]
124,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[30, 5, 99], Operations: ['83+16=99']
Exploring Operation: 30-5=25, Resulting Numbers: [99, 25]
Generated Node #0,0,0: 92:[99, 25] Operation: 30-5=25
Exploring Operation: 99-5=94, Resulting Numbers: [30, 94]
Generated Node #0,0,1: 92:[30, 94] Operation: 99-5=94
Exploring Operation: 30/5=6, Resulting Numbers: [99, 6]
Generated Node #0,0,2: 92:[99, 6] Operation: 30/5=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[99, 25], Operations: ['83+16=99', '30-5=25']
Exploring Operation: 99-25=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 99*25=2475, Resulting Numbers: [2475]
2475,92 unequal: No Solution
Exploring Operation: 99+25=124, Resulting Numbers: [124]
124,92 unequal: No Solution
No 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: 92:[30, 94], Operations: ['83+16=99', '99-5=94']
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 30*94=2820, Resulting Numbers: [2820]
2820,92 unequal: No Solution
Exploring Operation: 30+94=124, Resulting Numbers: [124]
124,92 unequal: No Solution
No 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: 92:[99, 6], Operations: ['83+16=99', '30/5=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,92 unequal: No Solution
Exploring Operation: 99+6=105, Resulting Numbers: [105]
105,92 unequal: No Solution
Exploring Operation: 99*6=594, Resulting Numbers: [594]
594,92 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[5, 16, 53], Operations: ['83-30=53']
Exploring Operation: 53-5=48, Resulting Numbers: [16, 48]
Generated Node #0,1,0: 92:[16, 48] Operation: 53-5=48
Exploring Operation: 53-16=37, Resulting Numbers: [5, 37]
Generated Node #0,1,1: 92:[5, 37] Operation: 53-16=37
Exploring Operation: 5+16=21, Resulting Numbers: [53, 21]
Generated Node #0,1,2: 92:[53, 21] Operation: 5+16=21
Moving to Node #0,1,0
Current State: 92:[16, 48], Operations: ['83-30=53', '53-5=48']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[53, 21], Operations: ['83-30=53', '5+16=21']
Exploring Operation: 53+21=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 53*21=1113, Resulting Numbers: [1113]
1113,92 unequal: No Solution
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[5, 37], Operations: ['83-30=53', '53-16=37']
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,92 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,92 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 |
[
63,
59,
2,
45
] | 75 | [
"63+59=122",
"2+45=47",
"122-47=75"
] | Current State: 75:[63, 59, 2, 45], Operations: []
Exploring Operation: 63+59=122, Resulting Numbers: [2, 45, 122]
Generated Node #2: [2, 45, 122] from Operation: 63+59=122
Current State: 75:[2, 45, 122], Operations: ['63+59=122']
Exploring Operation: 2+45=47, Resulting Numbers: [122, 47]
Generated Node #3: [122, 47] from Operation: 2+45=47
Current State: 75:[122, 47], Operations: ['63+59=122', '2+45=47']
Exploring Operation: 122-47=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[63, 59, 2, 45], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [63, 2, 14]
Generated Node #0,0: 75:[63, 2, 14] Operation: 59-45=14
Exploring Operation: 63-59=4, Resulting Numbers: [2, 45, 4]
Generated Node #0,1: 75:[2, 45, 4] Operation: 63-59=4
Exploring Operation: 59+45=104, Resulting Numbers: [63, 2, 104]
Generated Node #0,2: 75:[63, 2, 104] Operation: 59+45=104
Exploring Operation: 63-45=18, Resulting Numbers: [59, 2, 18]
Generated Node #0,3: 75:[59, 2, 18] Operation: 63-45=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[63, 2, 14], Operations: ['59-45=14']
Exploring Operation: 2+14=16, Resulting Numbers: [63, 16]
Generated Node #0,0,0: 75:[63, 16] Operation: 2+14=16
Exploring Operation: 63+14=77, Resulting Numbers: [2, 77]
Generated Node #0,0,1: 75:[2, 77] Operation: 63+14=77
Exploring Operation: 63+2=65, Resulting Numbers: [14, 65]
Generated Node #0,0,2: 75:[14, 65] Operation: 63+2=65
Exploring Operation: 14/2=7, Resulting Numbers: [63, 7]
Generated Node #0,0,3: 75:[63, 7] Operation: 14/2=7
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[2, 77], Operations: ['59-45=14', '63+14=77']
Exploring Operation: 2*77=154, Resulting Numbers: [154]
154,75 unequal: No Solution
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,75 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[63, 59, 2, 45], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [63, 2, 14]
Generated Node #0,0: 75:[63, 2, 14] Operation: 59-45=14
Moving to Node #0,0
Current State: 75:[63, 2, 14], Operations: ['59-45=14']
Exploring Operation: 63+14=77, Resulting Numbers: [2, 77]
Generated Node #0,0,1: 75:[2, 77] Operation: 63+14=77
Moving to Node #0,0,1
Current State: 75:[2, 77], Operations: ['59-45=14', '63+14=77']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
5,
71,
20,
98
] | 23 | [
"20/5=4",
"98-71=27",
"27-4=23"
] | Current State: 23:[5, 71, 20, 98], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [71, 98, 4]
Generated Node #2: [71, 98, 4] from Operation: 20/5=4
Current State: 23:[71, 98, 4], Operations: ['20/5=4']
Exploring Operation: 98-71=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 98-71=27
Current State: 23:[4, 27], Operations: ['20/5=4', '98-71=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[5, 71, 20, 98], Operations: []
Exploring Operation: 98-5=93, Resulting Numbers: [71, 20, 93]
Generated Node #0,0: 23:[71, 20, 93] Operation: 98-5=93
Exploring Operation: 71-5=66, Resulting Numbers: [20, 98, 66]
Generated Node #0,1: 23:[20, 98, 66] Operation: 71-5=66
Exploring Operation: 98-71=27, Resulting Numbers: [5, 20, 27]
Generated Node #0,2: 23:[5, 20, 27] Operation: 98-71=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[5, 20, 27], Operations: ['98-71=27']
Exploring Operation: 27-5=22, Resulting Numbers: [20, 22]
Generated Node #0,2,0: 23:[20, 22] Operation: 27-5=22
Exploring Operation: 5+20=25, Resulting Numbers: [27, 25]
Generated Node #0,2,1: 23:[27, 25] Operation: 5+20=25
Exploring Operation: 20-5=15, Resulting Numbers: [27, 15]
Generated Node #0,2,2: 23:[27, 15] Operation: 20-5=15
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 23:[20, 22], Operations: ['98-71=27', '27-5=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,23 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 23:[27, 25], Operations: ['98-71=27', '5+20=25']
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 27*25=675, Resulting Numbers: [675]
675,23 unequal: No Solution
Exploring Operation: 27+25=52, Resulting Numbers: [52]
52,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 23:[27, 15], Operations: ['98-71=27', '20-5=15']
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,23 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[71, 20, 93], Operations: ['98-5=93']
Exploring Operation: 71-20=51, Resulting Numbers: [93, 51]
Generated Node #0,0,0: 23:[93, 51] Operation: 71-20=51
Exploring Operation: 93-71=22, Resulting Numbers: [20, 22]
Generated Node #0,0,1: 23:[20, 22] Operation: 93-71=22
Exploring Operation: 93-20=73, Resulting Numbers: [71, 73]
Generated Node #0,0,2: 23:[71, 73] Operation: 93-20=73
Moving to Node #0,0,1
Current State: 23:[20, 22], Operations: ['98-5=93', '93-71=22']
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,23 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[93, 51], Operations: ['98-5=93', '71-20=51']
Exploring Operation: 93-51=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Exploring Operation: 93+51=144, Resulting Numbers: [144]
144,23 unequal: No Solution
Exploring Operation: 93*51=4743, Resulting Numbers: [4743]
4743,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[71, 73], Operations: ['98-5=93', '93-20=73']
Exploring Operation: 71*73=5183, Resulting Numbers: [5183]
5183,23 unequal: No Solution
Exploring Operation: 71+73=144, Resulting Numbers: [144]
144,23 unequal: No Solution
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[20, 98, 66], Operations: ['71-5=66']
Exploring Operation: 98-66=32, Resulting Numbers: [20, 32]
Generated Node #0,1,0: 23:[20, 32] Operation: 98-66=32
Exploring Operation: 98-20=78, Resulting Numbers: [66, 78]
Generated Node #0,1,1: 23:[66, 78] Operation: 98-20=78
Exploring Operation: 66-20=46, Resulting Numbers: [98, 46]
Generated Node #0,1,2: 23:[98, 46] Operation: 66-20=46
Moving to Node #0,1,0
Current State: 23:[20, 32], Operations: ['71-5=66', '98-66=32']
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Exploring Operation: 20*32=640, Resulting Numbers: [640]
640,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[66, 78], Operations: ['71-5=66', '98-20=78']
Exploring Operation: 66*78=5148, Resulting Numbers: [5148]
5148,23 unequal: No Solution
Exploring Operation: 66+78=144, Resulting Numbers: [144]
144,23 unequal: No Solution
Exploring Operation: 78-66=12, Resulting Numbers: [12]
12,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[98, 46], Operations: ['71-5=66', '66-20=46']
Exploring Operation: 98+46=144, Resulting Numbers: [144]
144,23 unequal: No Solution
Exploring Operation: 98*46=4508, Resulting Numbers: [4508]
4508,23 unequal: No Solution
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,23 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 |
[
85,
21,
46,
2
] | 55 | [
"85-21=64",
"46+64=110",
"110/2=55"
] | Current State: 55:[85, 21, 46, 2], Operations: []
Exploring Operation: 85-21=64, Resulting Numbers: [46, 2, 64]
Generated Node #2: [46, 2, 64] from Operation: 85-21=64
Current State: 55:[46, 2, 64], Operations: ['85-21=64']
Exploring Operation: 46+64=110, Resulting Numbers: [2, 110]
Generated Node #3: [2, 110] from Operation: 46+64=110
Current State: 55:[2, 110], Operations: ['85-21=64', '46+64=110']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[85, 21, 46, 2], Operations: []
Exploring Operation: 85-21=64, Resulting Numbers: [46, 2, 64]
Generated Node #0,0: 55:[46, 2, 64] Operation: 85-21=64
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[46, 2, 64], Operations: ['85-21=64']
Exploring Operation: 64-46=18, Resulting Numbers: [2, 18]
Generated Node #0,0,0: 55:[2, 18] Operation: 64-46=18
Moving to Node #0,0,0
Current State: 55:[2, 18], Operations: ['85-21=64', '64-46=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
43,
47,
15,
8
] | 14 | [
"43+47=90",
"90/15=6",
"8+6=14"
] | Current State: 14:[43, 47, 15, 8], Operations: []
Exploring Operation: 43+47=90, Resulting Numbers: [15, 8, 90]
Generated Node #2: [15, 8, 90] from Operation: 43+47=90
Current State: 14:[15, 8, 90], Operations: ['43+47=90']
Exploring Operation: 90/15=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 90/15=6
Current State: 14:[8, 6], Operations: ['43+47=90', '90/15=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[43, 47, 15, 8], Operations: []
Exploring Operation: 47-15=32, Resulting Numbers: [43, 8, 32]
Generated Node #0,0: 14:[43, 8, 32] Operation: 47-15=32
Exploring Operation: 43-15=28, Resulting Numbers: [47, 8, 28]
Generated Node #0,1: 14:[47, 8, 28] Operation: 43-15=28
Exploring Operation: 43-8=35, Resulting Numbers: [47, 15, 35]
Generated Node #0,2: 14:[47, 15, 35] Operation: 43-8=35
Exploring Operation: 47-43=4, Resulting Numbers: [15, 8, 4]
Generated Node #0,3: 14:[15, 8, 4] Operation: 47-43=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[15, 8, 4], Operations: ['47-43=4']
Exploring Operation: 8+4=12, Resulting Numbers: [15, 12]
Generated Node #0,3,0: 14:[15, 12] Operation: 8+4=12
Exploring Operation: 8-4=4, Resulting Numbers: [15, 4]
Generated Node #0,3,1: 14:[15, 4] Operation: 8-4=4
Exploring Operation: 15-8=7, Resulting Numbers: [4, 7]
Generated Node #0,3,2: 14:[4, 7] Operation: 15-8=7
Exploring Operation: 8/4=2, Resulting Numbers: [15, 2]
Generated Node #0,3,3: 14:[15, 2] Operation: 8/4=2
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 14:[15, 2], Operations: ['47-43=4', '8/4=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 14:[4, 7], Operations: ['47-43=4', '15-8=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,14 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 14:[15, 12], Operations: ['47-43=4', '8+4=12']
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 15*12=180, Resulting Numbers: [180]
180,14 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 14:[15, 4], Operations: ['47-43=4', '8-4=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,14 unequal: No Solution
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[43, 8, 32], Operations: ['47-15=32']
Exploring Operation: 32-8=24, Resulting Numbers: [43, 24]
Generated Node #0,0,0: 14:[43, 24] Operation: 32-8=24
Exploring Operation: 43-8=35, Resulting Numbers: [32, 35]
Generated Node #0,0,1: 14:[32, 35] Operation: 43-8=35
Exploring Operation: 43-32=11, Resulting Numbers: [8, 11]
Generated Node #0,0,2: 14:[8, 11] Operation: 43-32=11
Exploring Operation: 32/8=4, Resulting Numbers: [43, 4]
Generated Node #0,0,3: 14:[43, 4] Operation: 32/8=4
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 14:[8, 11], Operations: ['47-15=32', '43-32=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,14 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 14:[43, 4], Operations: ['47-15=32', '32/8=4']
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,14 unequal: No Solution
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[43, 24], Operations: ['47-15=32', '32-8=24']
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,14 unequal: No Solution
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 14:[32, 35], Operations: ['47-15=32', '43-8=35']
Exploring Operation: 32*35=1120, Resulting Numbers: [1120]
1120,14 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 32+35=67, Resulting Numbers: [67]
67,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[47, 8, 28], Operations: ['43-15=28']
Exploring Operation: 47-8=39, Resulting Numbers: [28, 39]
Generated Node #0,1,0: 14:[28, 39] Operation: 47-8=39
Exploring Operation: 28-8=20, Resulting Numbers: [47, 20]
Generated Node #0,1,1: 14:[47, 20] Operation: 28-8=20
Exploring Operation: 47+8=55, Resulting Numbers: [28, 55]
Generated Node #0,1,2: 14:[28, 55] Operation: 47+8=55
Exploring Operation: 47-28=19, Resulting Numbers: [8, 19]
Generated Node #0,1,3: 14:[8, 19] Operation: 47-28=19
Moving to Node #0,1,3
Current State: 14:[8, 19], Operations: ['43-15=28', '47-28=19']
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,14 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[47, 20], Operations: ['43-15=28', '28-8=20']
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 47*20=940, Resulting Numbers: [940]
940,14 unequal: No Solution
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[28, 39], Operations: ['43-15=28', '47-8=39']
Exploring Operation: 28+39=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 28*39=1092, Resulting Numbers: [1092]
1092,14 unequal: No Solution
Moving to Node #0,1,2
Current State: 14:[28, 55], Operations: ['43-15=28', '47+8=55']
Exploring Operation: 28*55=1540, Resulting Numbers: [1540]
1540,14 unequal: No Solution
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 28+55=83, Resulting Numbers: [83]
83,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[47, 15, 35], Operations: ['43-8=35']
Exploring Operation: 47-15=32, Resulting Numbers: [35, 32]
Generated Node #0,2,0: 14:[35, 32] Operation: 47-15=32
Exploring Operation: 35-15=20, Resulting Numbers: [47, 20]
Generated Node #0,2,1: 14:[47, 20] Operation: 35-15=20
Exploring Operation: 47+15=62, Resulting Numbers: [35, 62]
Generated Node #0,2,2: 14:[35, 62] Operation: 47+15=62
Exploring Operation: 47-35=12, Resulting Numbers: [15, 12]
Generated Node #0,2,3: 14:[15, 12] Operation: 47-35=12
Moving to Node #0,2,3
Current State: 14:[15, 12], Operations: ['43-8=35', '47-35=12']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 15*12=180, Resulting Numbers: [180]
180,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[47, 20], Operations: ['43-8=35', '35-15=20']
Exploring Operation: 47*20=940, Resulting Numbers: [940]
940,14 unequal: No Solution
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[35, 32], Operations: ['43-8=35', '47-15=32']
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,14 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,14 unequal: No Solution
Moving to Node #0,2,2
Current State: 14:[35, 62], Operations: ['43-8=35', '47+15=62']
Exploring Operation: 35+62=97, Resulting Numbers: [97]
97,14 unequal: No Solution
Exploring Operation: 35*62=2170, Resulting Numbers: [2170]
2170,14 unequal: No Solution
Exploring Operation: 62-35=27, Resulting Numbers: [27]
27,14 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 |
[
91,
64,
40,
45
] | 19 | [
"64*45=2880",
"2880/40=72",
"91-72=19"
] | Current State: 19:[91, 64, 40, 45], Operations: []
Exploring Operation: 64*45=2880, Resulting Numbers: [91, 40, 2880]
Generated Node #2: [91, 40, 2880] from Operation: 64*45=2880
Current State: 19:[91, 40, 2880], Operations: ['64*45=2880']
Exploring Operation: 2880/40=72, Resulting Numbers: [91, 72]
Generated Node #3: [91, 72] from Operation: 2880/40=72
Current State: 19:[91, 72], Operations: ['64*45=2880', '2880/40=72']
Exploring Operation: 91-72=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[91, 64, 40, 45], Operations: []
Exploring Operation: 91-45=46, Resulting Numbers: [64, 40, 46]
Generated Node #0,0: 19:[64, 40, 46] Operation: 91-45=46
Exploring Operation: 64-45=19, Resulting Numbers: [91, 40, 19]
Generated Node #0,1: 19:[91, 40, 19] Operation: 64-45=19
Exploring Operation: 91-64=27, Resulting Numbers: [40, 45, 27]
Generated Node #0,2: 19:[40, 45, 27] Operation: 91-64=27
Moving to Node #0,2
Current State: 19:[40, 45, 27], Operations: ['91-64=27']
Exploring Operation: 45-40=5, Resulting Numbers: [27, 5]
Generated Node #0,2,0: 19:[27, 5] Operation: 45-40=5
Exploring Operation: 40-27=13, Resulting Numbers: [45, 13]
Generated Node #0,2,1: 19:[45, 13] Operation: 40-27=13
Exploring Operation: 45-27=18, Resulting Numbers: [40, 18]
Generated Node #0,2,2: 19:[40, 18] Operation: 45-27=18
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 19:[27, 5], Operations: ['91-64=27', '45-40=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 19:[40, 18], Operations: ['91-64=27', '45-27=18']
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 40*18=720, Resulting Numbers: [720]
720,19 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[45, 13], Operations: ['91-64=27', '40-27=13']
Exploring Operation: 45*13=585, Resulting Numbers: [585]
585,19 unequal: No Solution
Exploring Operation: 45+13=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,19 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: 19:[64, 40, 46], Operations: ['91-45=46']
Exploring Operation: 64-40=24, Resulting Numbers: [46, 24]
Generated Node #0,0,0: 19:[46, 24] Operation: 64-40=24
Exploring Operation: 64-46=18, Resulting Numbers: [40, 18]
Generated Node #0,0,1: 19:[40, 18] Operation: 64-46=18
Exploring Operation: 46-40=6, Resulting Numbers: [64, 6]
Generated Node #0,0,2: 19:[64, 6] Operation: 46-40=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[40, 18], Operations: ['91-45=46', '64-46=18']
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 40*18=720, Resulting Numbers: [720]
720,19 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[46, 24], Operations: ['91-45=46', '64-40=24']
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,19 unequal: No Solution
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 19:[64, 6], Operations: ['91-45=46', '46-40=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 64*6=384, Resulting Numbers: [384]
384,19 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: 19:[91, 40, 19], Operations: ['64-45=19']
Exploring Operation: 40-19=21, Resulting Numbers: [91, 21]
Generated Node #0,1,0: 19:[91, 21] Operation: 40-19=21
Exploring Operation: 91-19=72, Resulting Numbers: [40, 72]
Generated Node #0,1,1: 19:[40, 72] Operation: 91-19=72
Exploring Operation: 91-40=51, Resulting Numbers: [19, 51]
Generated Node #0,1,2: 19:[19, 51] Operation: 91-40=51
Moving to Node #0,1,2
Current State: 19:[19, 51], Operations: ['64-45=19', '91-40=51']
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 19*51=969, Resulting Numbers: [969]
969,19 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[91, 21], Operations: ['64-45=19', '40-19=21']
Exploring Operation: 91+21=112, Resulting Numbers: [112]
112,19 unequal: No Solution
Exploring Operation: 91-21=70, Resulting Numbers: [70]
70,19 unequal: No Solution
Exploring Operation: 91*21=1911, Resulting Numbers: [1911]
1911,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[40, 72], Operations: ['64-45=19', '91-19=72']
Exploring Operation: 72-40=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 40+72=112, Resulting Numbers: [112]
112,19 unequal: No Solution
Exploring Operation: 40*72=2880, Resulting Numbers: [2880]
2880,19 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
23,
9,
27,
34
] | 18 | [
"23*27=621",
"621-9=612",
"612/34=18"
] | Current State: 18:[23, 9, 27, 34], Operations: []
Exploring Operation: 23*27=621, Resulting Numbers: [9, 34, 621]
Generated Node #2: [9, 34, 621] from Operation: 23*27=621
Current State: 18:[9, 34, 621], Operations: ['23*27=621']
Exploring Operation: 621-9=612, Resulting Numbers: [34, 612]
Generated Node #3: [34, 612] from Operation: 621-9=612
Current State: 18:[34, 612], Operations: ['23*27=621', '621-9=612']
Exploring Operation: 612/34=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[23, 9, 27, 34], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [9, 27, 11]
Generated Node #0,0: 18:[9, 27, 11] Operation: 34-23=11
Exploring Operation: 27-23=4, Resulting Numbers: [9, 34, 4]
Generated Node #0,1: 18:[9, 34, 4] Operation: 27-23=4
Exploring Operation: 34-27=7, Resulting Numbers: [23, 9, 7]
Generated Node #0,2: 18:[23, 9, 7] Operation: 34-27=7
Exploring Operation: 27-9=18, Resulting Numbers: [23, 34, 18]
Generated Node #0,3: 18:[23, 34, 18] Operation: 27-9=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[23, 9, 7], Operations: ['34-27=7']
Exploring Operation: 9-7=2, Resulting Numbers: [23, 2]
Generated Node #0,2,0: 18:[23, 2] Operation: 9-7=2
Exploring Operation: 23-9=14, Resulting Numbers: [7, 14]
Generated Node #0,2,1: 18:[7, 14] Operation: 23-9=14
Exploring Operation: 23-7=16, Resulting Numbers: [9, 16]
Generated Node #0,2,2: 18:[9, 16] Operation: 23-7=16
Exploring Operation: 9+7=16, Resulting Numbers: [23, 16]
Generated Node #0,2,3: 18:[23, 16] Operation: 9+7=16
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 18:[9, 16], Operations: ['34-27=7', '23-7=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,18 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,18 unequal: No Solution
No 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: 18:[23, 2], Operations: ['34-27=7', '9-7=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,18 unequal: No Solution
No 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: 18:[7, 14], Operations: ['34-27=7', '23-9=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,18 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,18 unequal: No Solution
No 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: 18:[23, 16], Operations: ['34-27=7', '9+7=16']
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,18 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: 18:[9, 27, 11], Operations: ['34-23=11']
Exploring Operation: 27/9=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 18:[11, 3] Operation: 27/9=3
Exploring Operation: 11-9=2, Resulting Numbers: [27, 2]
Generated Node #0,0,1: 18:[27, 2] Operation: 11-9=2
Exploring Operation: 27-9=18, Resulting Numbers: [11, 18]
Generated Node #0,0,2: 18:[11, 18] Operation: 27-9=18
Exploring Operation: 27-11=16, Resulting Numbers: [9, 16]
Generated Node #0,0,3: 18:[9, 16] Operation: 27-11=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[11, 3], Operations: ['34-23=11', '27/9=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,18 unequal: No Solution
No 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: 18:[11, 18], Operations: ['34-23=11', '27-9=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,18 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,18 unequal: No Solution
No 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: 18:[9, 16], Operations: ['34-23=11', '27-11=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,18 unequal: No Solution
No 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: 18:[27, 2], Operations: ['34-23=11', '11-9=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,18 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,18 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: 18:[9, 34, 4], Operations: ['27-23=4']
Exploring Operation: 34-9=25, Resulting Numbers: [4, 25]
Generated Node #0,1,0: 18:[4, 25] Operation: 34-9=25
Exploring Operation: 34-4=30, Resulting Numbers: [9, 30]
Generated Node #0,1,1: 18:[9, 30] Operation: 34-4=30
Exploring Operation: 9+4=13, Resulting Numbers: [34, 13]
Generated Node #0,1,2: 18:[34, 13] Operation: 9+4=13
Exploring Operation: 9-4=5, Resulting Numbers: [34, 5]
Generated Node #0,1,3: 18:[34, 5] Operation: 9-4=5
Moving to Node #0,1,0
Current State: 18:[4, 25], Operations: ['27-23=4', '34-9=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[9, 30], Operations: ['27-23=4', '34-4=30']
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,18 unequal: No Solution
Moving to Node #0,1,3
Current State: 18:[34, 5], Operations: ['27-23=4', '9-4=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,18 unequal: No Solution
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[34, 13], Operations: ['27-23=4', '9+4=13']
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,18 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 #0,3
Current State: 18:[23, 34, 18], Operations: ['27-9=18']
Exploring Operation: 23-18=5, Resulting Numbers: [34, 5]
Generated Node #0,3,0: 18:[34, 5] Operation: 23-18=5
Exploring Operation: 34-18=16, Resulting Numbers: [23, 16]
Generated Node #0,3,1: 18:[23, 16] Operation: 34-18=16
Exploring Operation: 23+34=57, Resulting Numbers: [18, 57]
Generated Node #0,3,2: 18:[18, 57] Operation: 23+34=57
Exploring Operation: 34-23=11, Resulting Numbers: [18, 11]
Generated Node #0,3,3: 18:[18, 11] Operation: 34-23=11
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 18:[18, 11], Operations: ['27-9=18', '34-23=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,18 unequal: No Solution
No 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: 18:[23, 16], Operations: ['27-9=18', '34-18=16']
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,18 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,18 unequal: No Solution
No 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: 18:[34, 5], Operations: ['27-9=18', '23-18=5']
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,18 unequal: No Solution
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,18 unequal: No Solution
No 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: 18:[18, 57], Operations: ['27-9=18', '23+34=57']
Exploring Operation: 18+57=75, Resulting Numbers: [75]
75,18 unequal: No Solution
Exploring Operation: 18*57=1026, Resulting Numbers: [1026]
1026,18 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,18 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 |
[
42,
17,
19,
9
] | 12 | [
"19-17=2",
"42/2=21",
"21-9=12"
] | Current State: 12:[42, 17, 19, 9], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [42, 9, 2]
Generated Node #2: [42, 9, 2] from Operation: 19-17=2
Current State: 12:[42, 9, 2], Operations: ['19-17=2']
Exploring Operation: 42/2=21, Resulting Numbers: [9, 21]
Generated Node #3: [9, 21] from Operation: 42/2=21
Current State: 12:[9, 21], Operations: ['19-17=2', '42/2=21']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[42, 17, 19, 9], Operations: []
Exploring Operation: 42-19=23, Resulting Numbers: [17, 9, 23]
Generated Node #0,0: 12:[17, 9, 23] Operation: 42-19=23
Exploring Operation: 42-9=33, Resulting Numbers: [17, 19, 33]
Generated Node #0,1: 12:[17, 19, 33] Operation: 42-9=33
Exploring Operation: 42-17=25, Resulting Numbers: [19, 9, 25]
Generated Node #0,2: 12:[19, 9, 25] Operation: 42-17=25
Moving to Node #0,0
Current State: 12:[17, 9, 23], Operations: ['42-19=23']
Exploring Operation: 23-17=6, Resulting Numbers: [9, 6]
Generated Node #0,0,0: 12:[9, 6] Operation: 23-17=6
Exploring Operation: 23-9=14, Resulting Numbers: [17, 14]
Generated Node #0,0,1: 12:[17, 14] Operation: 23-9=14
Exploring Operation: 17-9=8, Resulting Numbers: [23, 8]
Generated Node #0,0,2: 12:[23, 8] Operation: 17-9=8
Moving to Node #0,2
Current State: 12:[19, 9, 25], Operations: ['42-17=25']
Exploring Operation: 25-9=16, Resulting Numbers: [19, 16]
Generated Node #0,2,0: 12:[19, 16] Operation: 25-9=16
Exploring Operation: 19-9=10, Resulting Numbers: [25, 10]
Generated Node #0,2,1: 12:[25, 10] Operation: 19-9=10
Exploring Operation: 25-19=6, Resulting Numbers: [9, 6]
Generated Node #0,2,2: 12:[9, 6] Operation: 25-19=6
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 12:[9, 6], Operations: ['42-17=25', '25-19=6']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[19, 16], Operations: ['42-17=25', '25-9=16']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 12:[25, 10], Operations: ['42-17=25', '19-9=10']
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,12 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,12 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: 12:[17, 19, 33], Operations: ['42-9=33']
Exploring Operation: 33-19=14, Resulting Numbers: [17, 14]
Generated Node #0,1,0: 12:[17, 14] Operation: 33-19=14
Exploring Operation: 33-17=16, Resulting Numbers: [19, 16]
Generated Node #0,1,1: 12:[19, 16] Operation: 33-17=16
Exploring Operation: 19-17=2, Resulting Numbers: [33, 2]
Generated Node #0,1,2: 12:[33, 2] Operation: 19-17=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 12:[17, 14], Operations: ['42-9=33', '33-19=14']
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,12 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 12:[19, 16], Operations: ['42-9=33', '33-17=16']
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 12:[33, 2], Operations: ['42-9=33', '19-17=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,12 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: 12:[9, 6], Operations: ['42-19=23', '23-17=6']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[17, 14], Operations: ['42-19=23', '23-9=14']
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,12 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[23, 8], Operations: ['42-19=23', '17-9=8']
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,12 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,12 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,12 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
2,
27,
2
] | 40 | [
"5+2=7",
"27-7=20",
"2*20=40"
] | Current State: 40:[5, 2, 27, 2], Operations: []
Exploring Operation: 5+2=7, Resulting Numbers: [27, 7]
Generated Node #2: [27, 7] from Operation: 5+2=7
Current State: 40:[27, 7], Operations: ['5+2=7']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,40 equal: Goal Reached
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[5, 2, 27, 2], Operations: []
Exploring Operation: 27-2=25, Resulting Numbers: [5, 2, 25]
Generated Node #0,0: 40:[5, 2, 25] Operation: 27-2=25
Exploring Operation: 5*2=10, Resulting Numbers: [27, 2, 10]
Generated Node #0,1: 40:[27, 2, 10] Operation: 5*2=10
Exploring Operation: 27-5=22, Resulting Numbers: [2, 2, 22]
Generated Node #0,2: 40:[2, 2, 22] Operation: 27-5=22
Exploring Operation: 27-2=25, Resulting Numbers: [5, 2, 25]
Generated Node #0,3: 40:[5, 2, 25] Operation: 27-2=25
Moving to Node #0,2
Current State: 40:[2, 2, 22], Operations: ['27-5=22']
Exploring Operation: 22-2=20, Resulting Numbers: [2, 20]
Generated Node #0,2,0: 40:[2, 20] Operation: 22-2=20
Exploring Operation: 22/2=11, Resulting Numbers: [2, 11]
Generated Node #0,2,1: 40:[2, 11] Operation: 22/2=11
Exploring Operation: 22/2=11, Resulting Numbers: [2, 11]
Generated Node #0,2,2: 40:[2, 11] Operation: 22/2=11
Exploring Operation: 22-2=20, Resulting Numbers: [2, 20]
Generated Node #0,2,3: 40:[2, 20] Operation: 22-2=20
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 40:[2, 20], Operations: ['27-5=22', '22-2=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[5, 2, 27, 2], Operations: []
Exploring Operation: 27-5=22, Resulting Numbers: [2, 2, 22]
Generated Node #0,2: 40:[2, 2, 22] Operation: 27-5=22
Moving to Node #0,2
Current State: 40:[2, 2, 22], Operations: ['27-5=22']
Exploring Operation: 22-2=20, Resulting Numbers: [2, 20]
Generated Node #0,2,0: 40:[2, 20] Operation: 22-2=20
Moving to Node #0,2,0
Current State: 40:[2, 20], Operations: ['27-5=22', '22-2=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
76,
54,
30,
30
] | 82 | [
"76-54=22",
"30+30=60",
"22+60=82"
] | Current State: 82:[76, 54, 30, 30], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [30, 30, 22]
Generated Node #2: [30, 30, 22] from Operation: 76-54=22
Current State: 82:[30, 30, 22], Operations: ['76-54=22']
Exploring Operation: 30+30=60, Resulting Numbers: [22, 60]
Generated Node #3: [22, 60] from Operation: 30+30=60
Current State: 82:[22, 60], Operations: ['76-54=22', '30+30=60']
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[76, 54, 30, 30], Operations: []
Exploring Operation: 54+30=84, Resulting Numbers: [76, 30, 84]
Generated Node #0,0: 82:[76, 30, 84] Operation: 54+30=84
Exploring Operation: 30/30=1, Resulting Numbers: [76, 54, 1]
Generated Node #0,1: 82:[76, 54, 1] Operation: 30/30=1
Exploring Operation: 54+30=84, Resulting Numbers: [76, 30, 84]
Generated Node #0,2: 82:[76, 30, 84] Operation: 54+30=84
Moving to Node #0,0
Current State: 82:[76, 30, 84], Operations: ['54+30=84']
Exploring Operation: 84-30=54, Resulting Numbers: [76, 54]
Generated Node #0,0,0: 82:[76, 54] Operation: 84-30=54
Exploring Operation: 84-76=8, Resulting Numbers: [30, 8]
Generated Node #0,0,1: 82:[30, 8] Operation: 84-76=8
Exploring Operation: 76-30=46, Resulting Numbers: [84, 46]
Generated Node #0,0,2: 82:[84, 46] Operation: 76-30=46
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[84, 46], Operations: ['54+30=84', '76-30=46']
Exploring Operation: 84+46=130, Resulting Numbers: [130]
130,82 unequal: No Solution
Exploring Operation: 84*46=3864, Resulting Numbers: [3864]
3864,82 unequal: No Solution
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[30, 8], Operations: ['54+30=84', '84-76=8']
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,82 unequal: No Solution
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,82 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[76, 54], Operations: ['54+30=84', '84-30=54']
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,82 unequal: No Solution
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,82 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,82 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: 82:[76, 30, 84], Operations: ['54+30=84']
Exploring Operation: 84-30=54, Resulting Numbers: [76, 54]
Generated Node #0,2,0: 82:[76, 54] Operation: 84-30=54
Exploring Operation: 76-30=46, Resulting Numbers: [84, 46]
Generated Node #0,2,1: 82:[84, 46] Operation: 76-30=46
Exploring Operation: 84-76=8, Resulting Numbers: [30, 8]
Generated Node #0,2,2: 82:[30, 8] Operation: 84-76=8
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[84, 46], Operations: ['54+30=84', '76-30=46']
Exploring Operation: 84+46=130, Resulting Numbers: [130]
130,82 unequal: No Solution
Exploring Operation: 84*46=3864, Resulting Numbers: [3864]
3864,82 unequal: No Solution
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 82:[30, 8], Operations: ['54+30=84', '84-76=8']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,82 unequal: No Solution
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 82:[76, 54], Operations: ['54+30=84', '84-30=54']
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,82 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,82 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: 82:[76, 54, 1], Operations: ['30/30=1']
Exploring Operation: 54-1=53, Resulting Numbers: [76, 53]
Generated Node #0,1,0: 82:[76, 53] Operation: 54-1=53
Exploring Operation: 76*1=76, Resulting Numbers: [54, 76]
Generated Node #0,1,1: 82:[54, 76] Operation: 76*1=76
Exploring Operation: 76+1=77, Resulting Numbers: [54, 77]
Generated Node #0,1,2: 82:[54, 77] Operation: 76+1=77
Moving to Node #0,1,0
Current State: 82:[76, 53], Operations: ['30/30=1', '54-1=53']
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 76*53=4028, Resulting Numbers: [4028]
4028,82 unequal: No Solution
Exploring Operation: 76+53=129, Resulting Numbers: [129]
129,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[54, 77], Operations: ['30/30=1', '76+1=77']
Exploring Operation: 54*77=4158, Resulting Numbers: [4158]
4158,82 unequal: No Solution
Exploring Operation: 54+77=131, Resulting Numbers: [131]
131,82 unequal: No Solution
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[54, 76], Operations: ['30/30=1', '76*1=76']
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 54+76=130, Resulting Numbers: [130]
130,82 unequal: No Solution
Exploring Operation: 54*76=4104, Resulting Numbers: [4104]
4104,82 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
22,
6,
23,
8
] | 55 | [
"23-8=15",
"22*15=330",
"330/6=55"
] | Current State: 55:[22, 6, 23, 8], Operations: []
Exploring Operation: 23-8=15, Resulting Numbers: [22, 6, 15]
Generated Node #2: [22, 6, 15] from Operation: 23-8=15
Current State: 55:[22, 6, 15], Operations: ['23-8=15']
Exploring Operation: 22*15=330, Resulting Numbers: [6, 330]
Generated Node #3: [6, 330] from Operation: 22*15=330
Current State: 55:[6, 330], Operations: ['23-8=15', '22*15=330']
Exploring Operation: 330/6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[22, 6, 23, 8], Operations: []
Exploring Operation: 22+23=45, Resulting Numbers: [6, 8, 45]
Generated Node #0,0: 55:[6, 8, 45] Operation: 22+23=45
Exploring Operation: 22-8=14, Resulting Numbers: [6, 23, 14]
Generated Node #0,1: 55:[6, 23, 14] Operation: 22-8=14
Exploring Operation: 22-6=16, Resulting Numbers: [23, 8, 16]
Generated Node #0,2: 55:[23, 8, 16] Operation: 22-6=16
Exploring Operation: 23-8=15, Resulting Numbers: [22, 6, 15]
Generated Node #0,3: 55:[22, 6, 15] Operation: 23-8=15
Exploring Operation: 23-22=1, Resulting Numbers: [6, 8, 1]
Generated Node #0,4: 55:[6, 8, 1] Operation: 23-22=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 55:[6, 8, 1], Operations: ['23-22=1']
Exploring Operation: 6-1=5, Resulting Numbers: [8, 5]
Generated Node #0,4,0: 55:[8, 5] Operation: 6-1=5
Exploring Operation: 6*1=6, Resulting Numbers: [8, 6]
Generated Node #0,4,1: 55:[8, 6] Operation: 6*1=6
Exploring Operation: 6/1=6, Resulting Numbers: [8, 6]
Generated Node #0,4,2: 55:[8, 6] Operation: 6/1=6
Exploring Operation: 8+1=9, Resulting Numbers: [6, 9]
Generated Node #0,4,3: 55:[6, 9] Operation: 8+1=9
Exploring Operation: 8-1=7, Resulting Numbers: [6, 7]
Generated Node #0,4,4: 55:[6, 7] Operation: 8-1=7
Moving to Node #0,4,0
Current State: 55:[8, 5], Operations: ['23-22=1', '6-1=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Moving to Node #0,4,4
Current State: 55:[6, 7], Operations: ['23-22=1', '8-1=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,55 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Moving to Node #0,4,3
Current State: 55:[6, 9], Operations: ['23-22=1', '8+1=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Moving to Node #0,4,1
Current State: 55:[8, 6], Operations: ['23-22=1', '6*1=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,55 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Moving to Node #0,4,2
Current State: 55:[8, 6], Operations: ['23-22=1', '6/1=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,55 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[6, 8, 45], Operations: ['22+23=45']
Exploring Operation: 8-6=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 55:[45, 2] Operation: 8-6=2
Exploring Operation: 6+8=14, Resulting Numbers: [45, 14]
Generated Node #0,0,1: 55:[45, 14] Operation: 6+8=14
Exploring Operation: 6+45=51, Resulting Numbers: [8, 51]
Generated Node #0,0,2: 55:[8, 51] Operation: 6+45=51
Exploring Operation: 6*8=48, Resulting Numbers: [45, 48]
Generated Node #0,0,3: 55:[45, 48] Operation: 6*8=48
Exploring Operation: 8+45=53, Resulting Numbers: [6, 53]
Generated Node #0,0,4: 55:[6, 53] Operation: 8+45=53
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 55:[6, 53], Operations: ['22+23=45', '8+45=53']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,55 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,55 unequal: No Solution
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 55:[8, 51], Operations: ['22+23=45', '6+45=51']
Exploring Operation: 8*51=408, Resulting Numbers: [408]
408,55 unequal: No Solution
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,55 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[45, 2], Operations: ['22+23=45', '8-6=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,55 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[45, 14], Operations: ['22+23=45', '6+8=14']
Exploring Operation: 45*14=630, Resulting Numbers: [630]
630,55 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 55:[45, 48], Operations: ['22+23=45', '6*8=48']
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,55 unequal: No Solution
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[6, 23, 14], Operations: ['22-8=14']
Exploring Operation: 23+14=37, Resulting Numbers: [6, 37]
Generated Node #0,1,0: 55:[6, 37] Operation: 23+14=37
Exploring Operation: 23-6=17, Resulting Numbers: [14, 17]
Generated Node #0,1,1: 55:[14, 17] Operation: 23-6=17
Exploring Operation: 6+23=29, Resulting Numbers: [14, 29]
Generated Node #0,1,2: 55:[14, 29] Operation: 6+23=29
Exploring Operation: 23-14=9, Resulting Numbers: [6, 9]
Generated Node #0,1,3: 55:[6, 9] Operation: 23-14=9
Exploring Operation: 14-6=8, Resulting Numbers: [23, 8]
Generated Node #0,1,4: 55:[23, 8] Operation: 14-6=8
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 55:[6, 9], Operations: ['22-8=14', '23-14=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 55:[14, 17], Operations: ['22-8=14', '23-6=17']
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 14*17=238, Resulting Numbers: [238]
238,55 unequal: No Solution
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 55:[23, 8], Operations: ['22-8=14', '14-6=8']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 55:[6, 37], Operations: ['22-8=14', '23+14=37']
Exploring Operation: 6+37=43, Resulting Numbers: [43]
43,55 unequal: No Solution
Exploring Operation: 6*37=222, Resulting Numbers: [222]
222,55 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 55:[14, 29], Operations: ['22-8=14', '6+23=29']
Exploring Operation: 14*29=406, Resulting Numbers: [406]
406,55 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[22, 6, 15], Operations: ['23-8=15']
Exploring Operation: 22+6=28, Resulting Numbers: [15, 28]
Generated Node #0,3,0: 55:[15, 28] Operation: 22+6=28
Exploring Operation: 22-6=16, Resulting Numbers: [15, 16]
Generated Node #0,3,1: 55:[15, 16] Operation: 22-6=16
Exploring Operation: 22-15=7, Resulting Numbers: [6, 7]
Generated Node #0,3,2: 55:[6, 7] Operation: 22-15=7
Exploring Operation: 22+15=37, Resulting Numbers: [6, 37]
Generated Node #0,3,3: 55:[6, 37] Operation: 22+15=37
Exploring Operation: 15-6=9, Resulting Numbers: [22, 9]
Generated Node #0,3,4: 55:[22, 9] Operation: 15-6=9
Moving to Node #0,3,2
Current State: 55:[6, 7], Operations: ['23-8=15', '22-15=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,55 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[15, 16], Operations: ['23-8=15', '22-6=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,55 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Moving to Node #0,3,4
Current State: 55:[22, 9], Operations: ['23-8=15', '15-6=9']
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,55 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[6, 37], Operations: ['23-8=15', '22+15=37']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 6+37=43, Resulting Numbers: [43]
43,55 unequal: No Solution
Exploring Operation: 6*37=222, Resulting Numbers: [222]
222,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[15, 28], Operations: ['23-8=15', '22+6=28']
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,55 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,55 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[23, 8, 16], Operations: ['22-6=16']
Exploring Operation: 23-8=15, Resulting Numbers: [16, 15]
Generated Node #0,2,0: 55:[16, 15] Operation: 23-8=15
Exploring Operation: 23+16=39, Resulting Numbers: [8, 39]
Generated Node #0,2,1: 55:[8, 39] Operation: 23+16=39
Exploring Operation: 23-16=7, Resulting Numbers: [8, 7]
Generated Node #0,2,2: 55:[8, 7] Operation: 23-16=7
Exploring Operation: 16-8=8, Resulting Numbers: [23, 8]
Generated Node #0,2,3: 55:[23, 8] Operation: 16-8=8
Exploring Operation: 16/8=2, Resulting Numbers: [23, 2]
Generated Node #0,2,4: 55:[23, 2] Operation: 16/8=2
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 55:[8, 7], Operations: ['22-6=16', '23-16=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 55:[16, 15], Operations: ['22-6=16', '23-8=15']
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,55 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 55:[23, 8], Operations: ['22-6=16', '16-8=8']
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,55 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 55:[23, 2], Operations: ['22-6=16', '16/8=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 55:[8, 39], Operations: ['22-6=16', '23+16=39']
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,55 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
3,
46,
42,
87
] | 89 | [
"42+87=129",
"129/3=43",
"46+43=89"
] | Current State: 89:[3, 46, 42, 87], Operations: []
Exploring Operation: 42+87=129, Resulting Numbers: [3, 46, 129]
Generated Node #2: [3, 46, 129] from Operation: 42+87=129
Current State: 89:[3, 46, 129], Operations: ['42+87=129']
Exploring Operation: 129/3=43, Resulting Numbers: [46, 43]
Generated Node #3: [46, 43] from Operation: 129/3=43
Current State: 89:[46, 43], Operations: ['42+87=129', '129/3=43']
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[3, 46, 42, 87], Operations: []
Exploring Operation: 3*42=126, Resulting Numbers: [46, 87, 126]
Generated Node #0,0: 89:[46, 87, 126] Operation: 3*42=126
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[46, 87, 126], Operations: ['3*42=126']
Exploring Operation: 126-46=80, Resulting Numbers: [87, 80]
Generated Node #0,0,0: 89:[87, 80] Operation: 126-46=80
Moving to Node #0,0,0
Current State: 89:[87, 80], Operations: ['3*42=126', '126-46=80']
Exploring Operation: 87+80=167, Resulting Numbers: [167]
167,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
33,
2,
69,
41
] | 75 | [
"33+2=35",
"69+41=110",
"110-35=75"
] | Current State: 75:[33, 2, 69, 41], Operations: []
Exploring Operation: 33+2=35, Resulting Numbers: [69, 41, 35]
Generated Node #2: [69, 41, 35] from Operation: 33+2=35
Current State: 75:[69, 41, 35], Operations: ['33+2=35']
Exploring Operation: 69+41=110, Resulting Numbers: [35, 110]
Generated Node #3: [35, 110] from Operation: 69+41=110
Current State: 75:[35, 110], Operations: ['33+2=35', '69+41=110']
Exploring Operation: 110-35=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[33, 2, 69, 41], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [2, 69, 8]
Generated Node #0,0: 75:[2, 69, 8] Operation: 41-33=8
Exploring Operation: 33+41=74, Resulting Numbers: [2, 69, 74]
Generated Node #0,1: 75:[2, 69, 74] Operation: 33+41=74
Moving to Node #0,1
Current State: 75:[2, 69, 74], Operations: ['33+41=74']
Exploring Operation: 2+69=71, Resulting Numbers: [74, 71]
Generated Node #0,1,0: 75:[74, 71] Operation: 2+69=71
Exploring Operation: 74-69=5, Resulting Numbers: [2, 5]
Generated Node #0,1,1: 75:[2, 5] Operation: 74-69=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[2, 5], Operations: ['33+41=74', '74-69=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[74, 71], Operations: ['33+41=74', '2+69=71']
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 74+71=145, Resulting Numbers: [145]
145,75 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:[2, 69, 8], Operations: ['41-33=8']
Exploring Operation: 2+69=71, Resulting Numbers: [8, 71]
Generated Node #0,0,0: 75:[8, 71] Operation: 2+69=71
Exploring Operation: 69+8=77, Resulting Numbers: [2, 77]
Generated Node #0,0,1: 75:[2, 77] Operation: 69+8=77
Moving to Node #0,0,1
Current State: 75:[2, 77], Operations: ['41-33=8', '69+8=77']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[33, 2, 69, 41], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [2, 69, 8]
Generated Node #0,0: 75:[2, 69, 8] Operation: 41-33=8
Moving to Node #0,0
Current State: 75:[2, 69, 8], Operations: ['41-33=8']
Exploring Operation: 69+8=77, Resulting Numbers: [2, 77]
Generated Node #0,0,1: 75:[2, 77] Operation: 69+8=77
Moving to Node #0,0,1
Current State: 75:[2, 77], Operations: ['41-33=8', '69+8=77']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
28,
17,
10,
14
] | 13 | [
"28-17=11",
"10+14=24",
"24-11=13"
] | Current State: 13:[28, 17, 10, 14], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [10, 14, 11]
Generated Node #2: [10, 14, 11] from Operation: 28-17=11
Current State: 13:[10, 14, 11], Operations: ['28-17=11']
Exploring Operation: 10+14=24, Resulting Numbers: [11, 24]
Generated Node #3: [11, 24] from Operation: 10+14=24
Current State: 13:[11, 24], Operations: ['28-17=11', '10+14=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[28, 17, 10, 14], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [10, 14, 11]
Generated Node #0,0: 13:[10, 14, 11] Operation: 28-17=11
Exploring Operation: 28-14=14, Resulting Numbers: [17, 10, 14]
Generated Node #0,1: 13:[17, 10, 14] Operation: 28-14=14
Moving to Node #0,0
Current State: 13:[10, 14, 11], Operations: ['28-17=11']
Exploring Operation: 10+11=21, Resulting Numbers: [14, 21]
Generated Node #0,0,0: 13:[14, 21] Operation: 10+11=21
Exploring Operation: 14-10=4, Resulting Numbers: [11, 4]
Generated Node #0,0,1: 13:[11, 4] Operation: 14-10=4
Moving to Node #0,1
Current State: 13:[17, 10, 14], Operations: ['28-14=14']
Exploring Operation: 17-10=7, Resulting Numbers: [14, 7]
Generated Node #0,1,0: 13:[14, 7] Operation: 17-10=7
Exploring Operation: 17-14=3, Resulting Numbers: [10, 3]
Generated Node #0,1,1: 13:[10, 3] Operation: 17-14=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[14, 7], Operations: ['28-14=14', '17-10=7']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,13 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:[10, 3], Operations: ['28-14=14', '17-14=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[28, 17, 10, 14], Operations: []
Exploring Operation: 28-14=14, Resulting Numbers: [17, 10, 14]
Generated Node #0,1: 13:[17, 10, 14] Operation: 28-14=14
Moving to Node #0,1
Current State: 13:[17, 10, 14], Operations: ['28-14=14']
Exploring Operation: 17-14=3, Resulting Numbers: [10, 3]
Generated Node #0,1,1: 13:[10, 3] Operation: 17-14=3
Moving to Node #0,1,1
Current State: 13:[10, 3], Operations: ['28-14=14', '17-14=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_2 | sum_heuristic |
[
85,
3,
24,
80
] | 83 | [
"80-24=56",
"3*56=168",
"168-85=83"
] | Current State: 83:[85, 3, 24, 80], Operations: []
Exploring Operation: 80-24=56, Resulting Numbers: [85, 3, 56]
Generated Node #2: [85, 3, 56] from Operation: 80-24=56
Current State: 83:[85, 3, 56], Operations: ['80-24=56']
Exploring Operation: 3*56=168, Resulting Numbers: [85, 168]
Generated Node #3: [85, 168] from Operation: 3*56=168
Current State: 83:[85, 168], Operations: ['80-24=56', '3*56=168']
Exploring Operation: 168-85=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[85, 3, 24, 80], Operations: []
Exploring Operation: 3+24=27, Resulting Numbers: [85, 80, 27]
Generated Node #0,0: 83:[85, 80, 27] Operation: 3+24=27
Exploring Operation: 3+80=83, Resulting Numbers: [85, 24, 83]
Generated Node #0,1: 83:[85, 24, 83] Operation: 3+80=83
Exploring Operation: 3*24=72, Resulting Numbers: [85, 80, 72]
Generated Node #0,2: 83:[85, 80, 72] Operation: 3*24=72
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[85, 80, 72], Operations: ['3*24=72']
Exploring Operation: 85-72=13, Resulting Numbers: [80, 13]
Generated Node #0,2,0: 83:[80, 13] Operation: 85-72=13
Exploring Operation: 85+72=157, Resulting Numbers: [80, 157]
Generated Node #0,2,1: 83:[80, 157] Operation: 85+72=157
Exploring Operation: 80+72=152, Resulting Numbers: [85, 152]
Generated Node #0,2,2: 83:[85, 152] Operation: 80+72=152
Moving to Node #0,2,2
Current State: 83:[85, 152], Operations: ['3*24=72', '80+72=152']
Exploring Operation: 85+152=237, Resulting Numbers: [237]
237,83 unequal: No Solution
Exploring Operation: 85*152=12920, Resulting Numbers: [12920]
12920,83 unequal: No Solution
Exploring Operation: 152-85=67, Resulting Numbers: [67]
67,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[80, 13], Operations: ['3*24=72', '85-72=13']
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,83 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,83 unequal: No Solution
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[80, 157], Operations: ['3*24=72', '85+72=157']
Exploring Operation: 157-80=77, Resulting Numbers: [77]
77,83 unequal: No Solution
Exploring Operation: 80*157=12560, Resulting Numbers: [12560]
12560,83 unequal: No Solution
Exploring Operation: 80+157=237, Resulting Numbers: [237]
237,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[85, 80, 27], Operations: ['3+24=27']
Exploring Operation: 85+27=112, Resulting Numbers: [80, 112]
Generated Node #0,0,0: 83:[80, 112] Operation: 85+27=112
Exploring Operation: 85-27=58, Resulting Numbers: [80, 58]
Generated Node #0,0,1: 83:[80, 58] Operation: 85-27=58
Exploring Operation: 80+27=107, Resulting Numbers: [85, 107]
Generated Node #0,0,2: 83:[85, 107] Operation: 80+27=107
Moving to Node #0,0,2
Current State: 83:[85, 107], Operations: ['3+24=27', '80+27=107']
Exploring Operation: 85*107=9095, Resulting Numbers: [9095]
9095,83 unequal: No Solution
Exploring Operation: 107-85=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 85+107=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[80, 58], Operations: ['3+24=27', '85-27=58']
Exploring Operation: 80-58=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 80*58=4640, Resulting Numbers: [4640]
4640,83 unequal: No Solution
Exploring Operation: 80+58=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[80, 112], Operations: ['3+24=27', '85+27=112']
Exploring Operation: 112-80=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Exploring Operation: 80*112=8960, Resulting Numbers: [8960]
8960,83 unequal: No Solution
Exploring Operation: 80+112=192, Resulting Numbers: [192]
192,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[85, 24, 83], Operations: ['3+80=83']
Exploring Operation: 24+83=107, Resulting Numbers: [85, 107]
Generated Node #0,1,0: 83:[85, 107] Operation: 24+83=107
Exploring Operation: 85-24=61, Resulting Numbers: [83, 61]
Generated Node #0,1,1: 83:[83, 61] Operation: 85-24=61
Exploring Operation: 85+24=109, Resulting Numbers: [83, 109]
Generated Node #0,1,2: 83:[83, 109] Operation: 85+24=109
Moving to Node #0,1,1
Current State: 83:[83, 61], Operations: ['3+80=83', '85-24=61']
Exploring Operation: 83*61=5063, Resulting Numbers: [5063]
5063,83 unequal: No Solution
Exploring Operation: 83+61=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 83-61=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[85, 107], Operations: ['3+80=83', '24+83=107']
Exploring Operation: 107-85=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 85+107=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 85*107=9095, Resulting Numbers: [9095]
9095,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[83, 109], Operations: ['3+80=83', '85+24=109']
Exploring Operation: 109-83=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 83+109=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 83*109=9047, Resulting Numbers: [9047]
9047,83 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 |
[
40,
36,
60,
47
] | 31 | [
"40+36=76",
"60+47=107",
"107-76=31"
] | Current State: 31:[40, 36, 60, 47], Operations: []
Exploring Operation: 40+36=76, Resulting Numbers: [60, 47, 76]
Generated Node #2: [60, 47, 76] from Operation: 40+36=76
Current State: 31:[60, 47, 76], Operations: ['40+36=76']
Exploring Operation: 60+47=107, Resulting Numbers: [76, 107]
Generated Node #3: [76, 107] from Operation: 60+47=107
Current State: 31:[76, 107], Operations: ['40+36=76', '60+47=107']
Exploring Operation: 107-76=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[40, 36, 60, 47], Operations: []
Exploring Operation: 60-36=24, Resulting Numbers: [40, 47, 24]
Generated Node #0,0: 31:[40, 47, 24] Operation: 60-36=24
Exploring Operation: 47-36=11, Resulting Numbers: [40, 60, 11]
Generated Node #0,1: 31:[40, 60, 11] Operation: 47-36=11
Exploring Operation: 60-40=20, Resulting Numbers: [36, 47, 20]
Generated Node #0,2: 31:[36, 47, 20] Operation: 60-40=20
Exploring Operation: 60-47=13, Resulting Numbers: [40, 36, 13]
Generated Node #0,3: 31:[40, 36, 13] Operation: 60-47=13
Exploring Operation: 47-40=7, Resulting Numbers: [36, 60, 7]
Generated Node #0,4: 31:[36, 60, 7] Operation: 47-40=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[40, 47, 24], Operations: ['60-36=24']
Exploring Operation: 40-24=16, Resulting Numbers: [47, 16]
Generated Node #0,0,0: 31:[47, 16] Operation: 40-24=16
Exploring Operation: 47-40=7, Resulting Numbers: [24, 7]
Generated Node #0,0,1: 31:[24, 7] Operation: 47-40=7
Exploring Operation: 47+24=71, Resulting Numbers: [40, 71]
Generated Node #0,0,2: 31:[40, 71] Operation: 47+24=71
Exploring Operation: 47-24=23, Resulting Numbers: [40, 23]
Generated Node #0,0,3: 31:[40, 23] Operation: 47-24=23
Exploring Operation: 40+24=64, Resulting Numbers: [47, 64]
Generated Node #0,0,4: 31:[47, 64] Operation: 40+24=64
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 31:[40, 23], Operations: ['60-36=24', '47-24=23']
Exploring Operation: 40*23=920, Resulting Numbers: [920]
920,31 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,31 unequal: No Solution
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,31 unequal: No Solution
No 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: 31:[47, 16], Operations: ['60-36=24', '40-24=16']
Exploring Operation: 47*16=752, Resulting Numbers: [752]
752,31 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[40, 36, 60, 47], Operations: []
Exploring Operation: 60-36=24, Resulting Numbers: [40, 47, 24]
Generated Node #0,0: 31:[40, 47, 24] Operation: 60-36=24
Moving to Node #0,0
Current State: 31:[40, 47, 24], Operations: ['60-36=24']
Exploring Operation: 40-24=16, Resulting Numbers: [47, 16]
Generated Node #0,0,0: 31:[47, 16] Operation: 40-24=16
Moving to Node #0,0,0
Current State: 31:[47, 16], Operations: ['60-36=24', '40-24=16']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
93,
61,
65,
64
] | 84 | [
"93-65=28",
"64-61=3",
"28*3=84"
] | Current State: 84:[93, 61, 65, 64], Operations: []
Exploring Operation: 93-65=28, Resulting Numbers: [61, 64, 28]
Generated Node #2: [61, 64, 28] from Operation: 93-65=28
Current State: 84:[61, 64, 28], Operations: ['93-65=28']
Exploring Operation: 64-61=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 64-61=3
Current State: 84:[28, 3], Operations: ['93-65=28', '64-61=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[93, 61, 65, 64], Operations: []
Exploring Operation: 93-64=29, Resulting Numbers: [61, 65, 29]
Generated Node #0,0: 84:[61, 65, 29] Operation: 93-64=29
Exploring Operation: 93-65=28, Resulting Numbers: [61, 64, 28]
Generated Node #0,1: 84:[61, 64, 28] Operation: 93-65=28
Exploring Operation: 64-61=3, Resulting Numbers: [93, 65, 3]
Generated Node #0,2: 84:[93, 65, 3] Operation: 64-61=3
Exploring Operation: 65-64=1, Resulting Numbers: [93, 61, 1]
Generated Node #0,3: 84:[93, 61, 1] Operation: 65-64=1
Exploring Operation: 65-61=4, Resulting Numbers: [93, 64, 4]
Generated Node #0,4: 84:[93, 64, 4] Operation: 65-61=4
Moving to Node #0,2
Current State: 84:[93, 65, 3], Operations: ['64-61=3']
Exploring Operation: 65+3=68, Resulting Numbers: [93, 68]
Generated Node #0,2,0: 84:[93, 68] Operation: 65+3=68
Exploring Operation: 93-65=28, Resulting Numbers: [3, 28]
Generated Node #0,2,1: 84:[3, 28] Operation: 93-65=28
Exploring Operation: 93-3=90, Resulting Numbers: [65, 90]
Generated Node #0,2,2: 84:[65, 90] Operation: 93-3=90
Exploring Operation: 65-3=62, Resulting Numbers: [93, 62]
Generated Node #0,2,3: 84:[93, 62] Operation: 65-3=62
Exploring Operation: 93/3=31, Resulting Numbers: [65, 31]
Generated Node #0,2,4: 84:[65, 31] Operation: 93/3=31
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[3, 28], Operations: ['64-61=3', '93-65=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[93, 61, 65, 64], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [93, 65, 3]
Generated Node #0,2: 84:[93, 65, 3] Operation: 64-61=3
Moving to Node #0,2
Current State: 84:[93, 65, 3], Operations: ['64-61=3']
Exploring Operation: 93-65=28, Resulting Numbers: [3, 28]
Generated Node #0,2,1: 84:[3, 28] Operation: 93-65=28
Moving to Node #0,2,1
Current State: 84:[3, 28], Operations: ['64-61=3', '93-65=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
65,
75,
56,
10
] | 36 | [
"75-65=10",
"56-10=46",
"46-10=36"
] | Current State: 36:[65, 75, 56, 10], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [56, 10, 10]
Generated Node #2: [56, 10, 10] from Operation: 75-65=10
Current State: 36:[56, 10, 10], Operations: ['75-65=10']
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,36 equal: Goal Reached
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[65, 75, 56, 10], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [65, 10, 19]
Generated Node #0,0: 36:[65, 10, 19] Operation: 75-56=19
Exploring Operation: 75-65=10, Resulting Numbers: [56, 10, 10]
Generated Node #0,1: 36:[56, 10, 10] Operation: 75-65=10
Moving to Node #0,1
Current State: 36:[56, 10, 10], Operations: ['75-65=10']
Exploring Operation: 56-10=46, Resulting Numbers: [10, 46]
Generated Node #0,1,0: 36:[10, 46] Operation: 56-10=46
Exploring Operation: 56-10=46, Resulting Numbers: [10, 46]
Generated Node #0,1,1: 36:[10, 46] Operation: 56-10=46
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[10, 46], Operations: ['75-65=10', '56-10=46']
Exploring Operation: 10+46=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[65, 75, 56, 10], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [56, 10, 10]
Generated Node #0,1: 36:[56, 10, 10] Operation: 75-65=10
Moving to Node #0,1
Current State: 36:[56, 10, 10], Operations: ['75-65=10']
Exploring Operation: 56-10=46, Resulting Numbers: [10, 46]
Generated Node #0,1,0: 36:[10, 46] Operation: 56-10=46
Moving to Node #0,1,0
Current State: 36:[10, 46], Operations: ['75-65=10', '56-10=46']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
75,
21,
49,
40
] | 35 | [
"75-21=54",
"49+40=89",
"89-54=35"
] | Current State: 35:[75, 21, 49, 40], Operations: []
Exploring Operation: 75-21=54, Resulting Numbers: [49, 40, 54]
Generated Node #2: [49, 40, 54] from Operation: 75-21=54
Current State: 35:[49, 40, 54], Operations: ['75-21=54']
Exploring Operation: 49+40=89, Resulting Numbers: [54, 89]
Generated Node #3: [54, 89] from Operation: 49+40=89
Current State: 35:[54, 89], Operations: ['75-21=54', '49+40=89']
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[75, 21, 49, 40], Operations: []
Exploring Operation: 75-21=54, Resulting Numbers: [49, 40, 54]
Generated Node #0,0: 35:[49, 40, 54] Operation: 75-21=54
Exploring Operation: 75-49=26, Resulting Numbers: [21, 40, 26]
Generated Node #0,1: 35:[21, 40, 26] Operation: 75-49=26
Exploring Operation: 75-40=35, Resulting Numbers: [21, 49, 35]
Generated Node #0,2: 35:[21, 49, 35] Operation: 75-40=35
Moving to Node #0,1
Current State: 35:[21, 40, 26], Operations: ['75-49=26']
Exploring Operation: 40-21=19, Resulting Numbers: [26, 19]
Generated Node #0,1,0: 35:[26, 19] Operation: 40-21=19
Exploring Operation: 21+26=47, Resulting Numbers: [40, 47]
Generated Node #0,1,1: 35:[40, 47] Operation: 21+26=47
Exploring Operation: 26-21=5, Resulting Numbers: [40, 5]
Generated Node #0,1,2: 35:[40, 5] Operation: 26-21=5
Moving to Node #0,2
Current State: 35:[21, 49, 35], Operations: ['75-40=35']
Exploring Operation: 49-21=28, Resulting Numbers: [35, 28]
Generated Node #0,2,0: 35:[35, 28] Operation: 49-21=28
Exploring Operation: 35-21=14, Resulting Numbers: [49, 14]
Generated Node #0,2,1: 35:[49, 14] Operation: 35-21=14
Exploring Operation: 49-35=14, Resulting Numbers: [21, 14]
Generated Node #0,2,2: 35:[21, 14] Operation: 49-35=14
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 35:[35, 28], Operations: ['75-40=35', '49-21=28']
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,35 unequal: No Solution
Exploring Operation: 35*28=980, Resulting Numbers: [980]
980,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 35:[49, 14], Operations: ['75-40=35', '35-21=14']
Exploring Operation: 49+14=63, Resulting Numbers: [63]
63,35 unequal: No Solution
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[75, 21, 49, 40], Operations: []
Exploring Operation: 75-40=35, Resulting Numbers: [21, 49, 35]
Generated Node #0,2: 35:[21, 49, 35] Operation: 75-40=35
Moving to Node #0,2
Current State: 35:[21, 49, 35], Operations: ['75-40=35']
Exploring Operation: 35-21=14, Resulting Numbers: [49, 14]
Generated Node #0,2,1: 35:[49, 14] Operation: 35-21=14
Moving to Node #0,2,1
Current State: 35:[49, 14], Operations: ['75-40=35', '35-21=14']
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
39,
63,
66,
65
] | 23 | [
"63-39=24",
"66-65=1",
"24-1=23"
] | Current State: 23:[39, 63, 66, 65], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [66, 65, 24]
Generated Node #2: [66, 65, 24] from Operation: 63-39=24
Current State: 23:[66, 65, 24], Operations: ['63-39=24']
Exploring Operation: 66-65=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 66-65=1
Current State: 23:[24, 1], Operations: ['63-39=24', '66-65=1']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[39, 63, 66, 65], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [39, 66, 2]
Generated Node #0,0: 23:[39, 66, 2] Operation: 65-63=2
Exploring Operation: 66-65=1, Resulting Numbers: [39, 63, 1]
Generated Node #0,1: 23:[39, 63, 1] Operation: 66-65=1
Exploring Operation: 66-63=3, Resulting Numbers: [39, 65, 3]
Generated Node #0,2: 23:[39, 65, 3] Operation: 66-63=3
Exploring Operation: 63-39=24, Resulting Numbers: [66, 65, 24]
Generated Node #0,3: 23:[66, 65, 24] Operation: 63-39=24
Moving to Node #0,1
Current State: 23:[39, 63, 1], Operations: ['66-65=1']
Exploring Operation: 39-1=38, Resulting Numbers: [63, 38]
Generated Node #0,1,0: 23:[63, 38] Operation: 39-1=38
Exploring Operation: 63-39=24, Resulting Numbers: [1, 24]
Generated Node #0,1,1: 23:[1, 24] Operation: 63-39=24
Exploring Operation: 39*1=39, Resulting Numbers: [63, 39]
Generated Node #0,1,2: 23:[63, 39] Operation: 39*1=39
Exploring Operation: 63-1=62, Resulting Numbers: [39, 62]
Generated Node #0,1,3: 23:[39, 62] Operation: 63-1=62
Moving to Node #0,2
Current State: 23:[39, 65, 3], Operations: ['66-63=3']
Exploring Operation: 39/3=13, Resulting Numbers: [65, 13]
Generated Node #0,2,0: 23:[65, 13] Operation: 39/3=13
Exploring Operation: 65-39=26, Resulting Numbers: [3, 26]
Generated Node #0,2,1: 23:[3, 26] Operation: 65-39=26
Exploring Operation: 39-3=36, Resulting Numbers: [65, 36]
Generated Node #0,2,2: 23:[65, 36] Operation: 39-3=36
Exploring Operation: 65-3=62, Resulting Numbers: [39, 62]
Generated Node #0,2,3: 23:[39, 62] Operation: 65-3=62
Moving to Node #0,0
Current State: 23:[39, 66, 2], Operations: ['65-63=2']
Exploring Operation: 39-2=37, Resulting Numbers: [66, 37]
Generated Node #0,0,0: 23:[66, 37] Operation: 39-2=37
Exploring Operation: 66/2=33, Resulting Numbers: [39, 33]
Generated Node #0,0,1: 23:[39, 33] Operation: 66/2=33
Exploring Operation: 66-39=27, Resulting Numbers: [2, 27]
Generated Node #0,0,2: 23:[2, 27] Operation: 66-39=27
Exploring Operation: 66-2=64, Resulting Numbers: [39, 64]
Generated Node #0,0,3: 23:[39, 64] Operation: 66-2=64
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 23:[2, 27], Operations: ['65-63=2', '66-39=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,23 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[39, 33], Operations: ['65-63=2', '66/2=33']
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,23 unequal: No Solution
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[66, 37], Operations: ['65-63=2', '39-2=37']
Exploring Operation: 66+37=103, Resulting Numbers: [103]
103,23 unequal: No Solution
Exploring Operation: 66*37=2442, Resulting Numbers: [2442]
2442,23 unequal: No Solution
Exploring Operation: 66-37=29, Resulting Numbers: [29]
29,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 23:[39, 64], Operations: ['65-63=2', '66-2=64']
Exploring Operation: 64-39=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 39*64=2496, Resulting Numbers: [2496]
2496,23 unequal: No Solution
Exploring Operation: 39+64=103, Resulting Numbers: [103]
103,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 23:[66, 65, 24], Operations: ['63-39=24']
Exploring Operation: 65-24=41, Resulting Numbers: [66, 41]
Generated Node #0,3,0: 23:[66, 41] Operation: 65-24=41
Exploring Operation: 66-24=42, Resulting Numbers: [65, 42]
Generated Node #0,3,1: 23:[65, 42] Operation: 66-24=42
Exploring Operation: 66-65=1, Resulting Numbers: [24, 1]
Generated Node #0,3,2: 23:[24, 1] Operation: 66-65=1
Exploring Operation: 66+65=131, Resulting Numbers: [24, 131]
Generated Node #0,3,3: 23:[24, 131] Operation: 66+65=131
Moving to Node #0,1,1
Current State: 23:[1, 24], Operations: ['66-65=1', '63-39=24']
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[39, 63, 66, 65], Operations: []
Exploring Operation: 66-65=1, Resulting Numbers: [39, 63, 1]
Generated Node #0,1: 23:[39, 63, 1] Operation: 66-65=1
Moving to Node #0,1
Current State: 23:[39, 63, 1], Operations: ['66-65=1']
Exploring Operation: 63-39=24, Resulting Numbers: [1, 24]
Generated Node #0,1,1: 23:[1, 24] Operation: 63-39=24
Moving to Node #0,1,1
Current State: 23:[1, 24], Operations: ['66-65=1', '63-39=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 0.965278 | hs_4 | mult_heuristic |
[
18,
71,
37,
74
] | 80 | [
"18*37=666",
"666/74=9",
"71+9=80"
] | Current State: 80:[18, 71, 37, 74], Operations: []
Exploring Operation: 18*37=666, Resulting Numbers: [71, 74, 666]
Generated Node #2: [71, 74, 666] from Operation: 18*37=666
Current State: 80:[71, 74, 666], Operations: ['18*37=666']
Exploring Operation: 666/74=9, Resulting Numbers: [71, 9]
Generated Node #3: [71, 9] from Operation: 666/74=9
Current State: 80:[71, 9], Operations: ['18*37=666', '666/74=9']
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[18, 71, 37, 74], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [18, 37, 3]
Generated Node #0,0: 80:[18, 37, 3] Operation: 74-71=3
Moving to Node #0,0
Current State: 80:[18, 37, 3], Operations: ['74-71=3']
Exploring Operation: 37-18=19, Resulting Numbers: [3, 19]
Generated Node #0,0,0: 80:[3, 19] Operation: 37-18=19
Moving to Node #0,0,0
Current State: 80:[3, 19], Operations: ['74-71=3', '37-18=19']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,80 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
24,
43,
62,
11
] | 16 | [
"24+43=67",
"62-11=51",
"67-51=16"
] | Current State: 16:[24, 43, 62, 11], Operations: []
Exploring Operation: 24+43=67, Resulting Numbers: [62, 11, 67]
Generated Node #2: [62, 11, 67] from Operation: 24+43=67
Current State: 16:[62, 11, 67], Operations: ['24+43=67']
Exploring Operation: 62-11=51, Resulting Numbers: [67, 51]
Generated Node #3: [67, 51] from Operation: 62-11=51
Current State: 16:[67, 51], Operations: ['24+43=67', '62-11=51']
Exploring Operation: 67-51=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[24, 43, 62, 11], Operations: []
Exploring Operation: 62-43=19, Resulting Numbers: [24, 11, 19]
Generated Node #0,0: 16:[24, 11, 19] Operation: 62-43=19
Moving to Node #0,0
Current State: 16:[24, 11, 19], Operations: ['62-43=19']
Exploring Operation: 24-19=5, Resulting Numbers: [11, 5]
Generated Node #0,0,0: 16:[11, 5] Operation: 24-19=5
Moving to Node #0,0,0
Current State: 16:[11, 5], Operations: ['62-43=19', '24-19=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[24, 43, 62, 11], Operations: []
Exploring Operation: 62-43=19, Resulting Numbers: [24, 11, 19]
Generated Node #0,0: 16:[24, 11, 19] Operation: 62-43=19
Moving to Node #0,0
Current State: 16:[24, 11, 19], Operations: ['62-43=19']
Exploring Operation: 24-19=5, Resulting Numbers: [11, 5]
Generated Node #0,0,0: 16:[11, 5] Operation: 24-19=5
Moving to Node #0,0,0
Current State: 16:[11, 5], Operations: ['62-43=19', '24-19=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
8,
76,
53,
16
] | 91 | [
"8*76=608",
"608/16=38",
"53+38=91"
] | Current State: 91:[8, 76, 53, 16], Operations: []
Exploring Operation: 8*76=608, Resulting Numbers: [53, 16, 608]
Generated Node #2: [53, 16, 608] from Operation: 8*76=608
Current State: 91:[53, 16, 608], Operations: ['8*76=608']
Exploring Operation: 608/16=38, Resulting Numbers: [53, 38]
Generated Node #3: [53, 38] from Operation: 608/16=38
Current State: 91:[53, 38], Operations: ['8*76=608', '608/16=38']
Exploring Operation: 53+38=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[8, 76, 53, 16], Operations: []
Exploring Operation: 53+16=69, Resulting Numbers: [8, 76, 69]
Generated Node #0,0: 91:[8, 76, 69] Operation: 53+16=69
Exploring Operation: 76-53=23, Resulting Numbers: [8, 16, 23]
Generated Node #0,1: 91:[8, 16, 23] Operation: 76-53=23
Exploring Operation: 76+16=92, Resulting Numbers: [8, 53, 92]
Generated Node #0,2: 91:[8, 53, 92] Operation: 76+16=92
Moving to Node #0,1
Current State: 91:[8, 16, 23], Operations: ['76-53=23']
Exploring Operation: 16-8=8, Resulting Numbers: [23, 8]
Generated Node #0,1,0: 91:[23, 8] Operation: 16-8=8
Exploring Operation: 23-16=7, Resulting Numbers: [8, 7]
Generated Node #0,1,1: 91:[8, 7] Operation: 23-16=7
Exploring Operation: 23-8=15, Resulting Numbers: [16, 15]
Generated Node #0,1,2: 91:[16, 15] Operation: 23-8=15
Moving to Node #0,0
Current State: 91:[8, 76, 69], Operations: ['53+16=69']
Exploring Operation: 8+76=84, Resulting Numbers: [69, 84]
Generated Node #0,0,0: 91:[69, 84] Operation: 8+76=84
Exploring Operation: 76-69=7, Resulting Numbers: [8, 7]
Generated Node #0,0,1: 91:[8, 7] Operation: 76-69=7
Exploring Operation: 8+69=77, Resulting Numbers: [76, 77]
Generated Node #0,0,2: 91:[76, 77] Operation: 8+69=77
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[8, 7], Operations: ['53+16=69', '76-69=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[69, 84], Operations: ['53+16=69', '8+76=84']
Exploring Operation: 84-69=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 69+84=153, Resulting Numbers: [153]
153,91 unequal: No Solution
Exploring Operation: 69*84=5796, Resulting Numbers: [5796]
5796,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[76, 77], Operations: ['53+16=69', '8+69=77']
Exploring Operation: 76*77=5852, Resulting Numbers: [5852]
5852,91 unequal: No Solution
Exploring Operation: 77-76=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 76+77=153, Resulting Numbers: [153]
153,91 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: 91:[8, 53, 92], Operations: ['76+16=92']
Exploring Operation: 92-53=39, Resulting Numbers: [8, 39]
Generated Node #0,2,0: 91:[8, 39] Operation: 92-53=39
Exploring Operation: 53-8=45, Resulting Numbers: [92, 45]
Generated Node #0,2,1: 91:[92, 45] Operation: 53-8=45
Exploring Operation: 8+53=61, Resulting Numbers: [92, 61]
Generated Node #0,2,2: 91:[92, 61] Operation: 8+53=61
Moving to Node #0,1,1
Current State: 91:[8, 7], Operations: ['76-53=23', '23-16=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[16, 15], Operations: ['76-53=23', '23-8=15']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,91 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[23, 8], Operations: ['76-53=23', '16-8=8']
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,91 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,91 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[8, 39], Operations: ['76+16=92', '92-53=39']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,91 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,91 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[92, 61], Operations: ['76+16=92', '8+53=61']
Exploring Operation: 92*61=5612, Resulting Numbers: [5612]
5612,91 unequal: No Solution
Exploring Operation: 92-61=31, Resulting Numbers: [31]
31,91 unequal: No Solution
Exploring Operation: 92+61=153, Resulting Numbers: [153]
153,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[92, 45], Operations: ['76+16=92', '53-8=45']
Exploring Operation: 92*45=4140, Resulting Numbers: [4140]
4140,91 unequal: No Solution
Exploring Operation: 92+45=137, Resulting Numbers: [137]
137,91 unequal: No Solution
Exploring Operation: 92-45=47, Resulting Numbers: [47]
47,91 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
50,
87,
9,
9
] | 37 | [
"87-50=37",
"9-9=0",
"37+0=37"
] | Current State: 37:[50, 87, 9, 9], Operations: []
Exploring Operation: 87-50=37, Resulting Numbers: [9, 9, 37]
Generated Node #2: [9, 9, 37] from Operation: 87-50=37
Current State: 37:[9, 9, 37], Operations: ['87-50=37']
Exploring Operation: 9-9=0, Resulting Numbers: [37, 0]
Generated Node #3: [37, 0] from Operation: 9-9=0
Current State: 37:[37, 0], Operations: ['87-50=37', '9-9=0']
Exploring Operation: 37+0=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[50, 87, 9, 9], Operations: []
Exploring Operation: 87-50=37, Resulting Numbers: [9, 9, 37]
Generated Node #0,0: 37:[9, 9, 37] Operation: 87-50=37
Exploring Operation: 50-9=41, Resulting Numbers: [87, 9, 41]
Generated Node #0,1: 37:[87, 9, 41] Operation: 50-9=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[9, 9, 37], Operations: ['87-50=37']
Exploring Operation: 9/9=1, Resulting Numbers: [37, 1]
Generated Node #0,0,0: 37:[37, 1] Operation: 9/9=1
Exploring Operation: 9+9=18, Resulting Numbers: [37, 18]
Generated Node #0,0,1: 37:[37, 18] Operation: 9+9=18
Moving to Node #0,0,1
Current State: 37:[37, 18], Operations: ['87-50=37', '9+9=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[37, 1], Operations: ['87-50=37', '9/9=1']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[50, 87, 9, 9], Operations: []
Exploring Operation: 87-50=37, Resulting Numbers: [9, 9, 37]
Generated Node #0,0: 37:[9, 9, 37] Operation: 87-50=37
Moving to Node #0,0
Current State: 37:[9, 9, 37], Operations: ['87-50=37']
Exploring Operation: 9/9=1, Resulting Numbers: [37, 1]
Generated Node #0,0,0: 37:[37, 1] Operation: 9/9=1
Moving to Node #0,0,0
Current State: 37:[37, 1], Operations: ['87-50=37', '9/9=1']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
36,
43,
15,
90
] | 70 | [
"43-15=28",
"90*28=2520",
"2520/36=70"
] | Current State: 70:[36, 43, 15, 90], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [36, 90, 28]
Generated Node #2: [36, 90, 28] from Operation: 43-15=28
Current State: 70:[36, 90, 28], Operations: ['43-15=28']
Exploring Operation: 90*28=2520, Resulting Numbers: [36, 2520]
Generated Node #3: [36, 2520] from Operation: 90*28=2520
Current State: 70:[36, 2520], Operations: ['43-15=28', '90*28=2520']
Exploring Operation: 2520/36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[36, 43, 15, 90], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [36, 43, 6]
Generated Node #0,0: 70:[36, 43, 6] Operation: 90/15=6
Exploring Operation: 90-15=75, Resulting Numbers: [36, 43, 75]
Generated Node #0,1: 70:[36, 43, 75] Operation: 90-15=75
Exploring Operation: 90-43=47, Resulting Numbers: [36, 15, 47]
Generated Node #0,2: 70:[36, 15, 47] Operation: 90-43=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[36, 43, 6], Operations: ['90/15=6']
Exploring Operation: 43-6=37, Resulting Numbers: [36, 37]
Generated Node #0,0,0: 70:[36, 37] Operation: 43-6=37
Exploring Operation: 36/6=6, Resulting Numbers: [43, 6]
Generated Node #0,0,1: 70:[43, 6] Operation: 36/6=6
Exploring Operation: 43-36=7, Resulting Numbers: [6, 7]
Generated Node #0,0,2: 70:[6, 7] Operation: 43-36=7
Moving to Node #0,0,2
Current State: 70:[6, 7], Operations: ['90/15=6', '43-36=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[36, 37], Operations: ['90/15=6', '43-6=37']
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,70 unequal: No Solution
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,70 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[43, 6], Operations: ['90/15=6', '36/6=6']
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 43*6=258, Resulting Numbers: [258]
258,70 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 #0,1
Current State: 70:[36, 43, 75], Operations: ['90-15=75']
Exploring Operation: 75-36=39, Resulting Numbers: [43, 39]
Generated Node #0,1,0: 70:[43, 39] Operation: 75-36=39
Exploring Operation: 75-43=32, Resulting Numbers: [36, 32]
Generated Node #0,1,1: 70:[36, 32] Operation: 75-43=32
Exploring Operation: 43-36=7, Resulting Numbers: [75, 7]
Generated Node #0,1,2: 70:[75, 7] Operation: 43-36=7
Moving to Node #0,1,1
Current State: 70:[36, 32], Operations: ['90-15=75', '75-43=32']
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,70 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[75, 7], Operations: ['90-15=75', '43-36=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,70 unequal: No Solution
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,70 unequal: No Solution
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[43, 39], Operations: ['90-15=75', '75-36=39']
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,70 unequal: No Solution
Exploring Operation: 43*39=1677, Resulting Numbers: [1677]
1677,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[36, 15, 47], Operations: ['90-43=47']
Exploring Operation: 47-15=32, Resulting Numbers: [36, 32]
Generated Node #0,2,0: 70:[36, 32] Operation: 47-15=32
Exploring Operation: 47-36=11, Resulting Numbers: [15, 11]
Generated Node #0,2,1: 70:[15, 11] Operation: 47-36=11
Exploring Operation: 15+47=62, Resulting Numbers: [36, 62]
Generated Node #0,2,2: 70:[36, 62] Operation: 15+47=62
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 70:[15, 11], Operations: ['90-43=47', '47-36=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,70 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 70:[36, 32], Operations: ['90-43=47', '47-15=32']
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,70 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 70:[36, 62], Operations: ['90-43=47', '15+47=62']
Exploring Operation: 36+62=98, Resulting Numbers: [98]
98,70 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 36*62=2232, Resulting Numbers: [2232]
2232,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
86,
96,
13,
1
] | 23 | [
"96-86=10",
"13*1=13",
"10+13=23"
] | Current State: 23:[86, 96, 13, 1], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [13, 1, 10]
Generated Node #2: [13, 1, 10] from Operation: 96-86=10
Current State: 23:[13, 1, 10], Operations: ['96-86=10']
Exploring Operation: 13*1=13, Resulting Numbers: [10, 13]
Generated Node #3: [10, 13] from Operation: 13*1=13
Current State: 23:[10, 13], Operations: ['96-86=10', '13*1=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[86, 96, 13, 1], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [13, 1, 10]
Generated Node #0,0: 23:[13, 1, 10] Operation: 96-86=10
Exploring Operation: 86-1=85, Resulting Numbers: [96, 13, 85]
Generated Node #0,1: 23:[96, 13, 85] Operation: 86-1=85
Exploring Operation: 86-13=73, Resulting Numbers: [96, 1, 73]
Generated Node #0,2: 23:[96, 1, 73] Operation: 86-13=73
Exploring Operation: 96-13=83, Resulting Numbers: [86, 1, 83]
Generated Node #0,3: 23:[86, 1, 83] Operation: 96-13=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[13, 1, 10], Operations: ['96-86=10']
Exploring Operation: 13+1=14, Resulting Numbers: [10, 14]
Generated Node #0,0,0: 23:[10, 14] Operation: 13+1=14
Exploring Operation: 13+10=23, Resulting Numbers: [1, 23]
Generated Node #0,0,1: 23:[1, 23] Operation: 13+10=23
Exploring Operation: 13*1=13, Resulting Numbers: [10, 13]
Generated Node #0,0,2: 23:[10, 13] Operation: 13*1=13
Exploring Operation: 1+10=11, Resulting Numbers: [13, 11]
Generated Node #0,0,3: 23:[13, 11] Operation: 1+10=11
Moving to Node #0,0,0
Current State: 23:[10, 14], Operations: ['96-86=10', '13+1=14']
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,23 unequal: No Solution
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[13, 11], Operations: ['96-86=10', '1+10=11']
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 13*11=143, Resulting Numbers: [143]
143,23 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[1, 23], Operations: ['96-86=10', '13+10=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[86, 96, 13, 1], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [13, 1, 10]
Generated Node #0,0: 23:[13, 1, 10] Operation: 96-86=10
Moving to Node #0,0
Current State: 23:[13, 1, 10], Operations: ['96-86=10']
Exploring Operation: 13+10=23, Resulting Numbers: [1, 23]
Generated Node #0,0,1: 23:[1, 23] Operation: 13+10=23
Moving to Node #0,0,1
Current State: 23:[1, 23], Operations: ['96-86=10', '13+10=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
70,
96,
30,
11
] | 64 | [
"96-30=66",
"66/11=6",
"70-6=64"
] | Current State: 64:[70, 96, 30, 11], Operations: []
Exploring Operation: 96-30=66, Resulting Numbers: [70, 11, 66]
Generated Node #2: [70, 11, 66] from Operation: 96-30=66
Current State: 64:[70, 11, 66], Operations: ['96-30=66']
Exploring Operation: 66/11=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 66/11=6
Current State: 64:[70, 6], Operations: ['96-30=66', '66/11=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[70, 96, 30, 11], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [30, 11, 26]
Generated Node #0,0: 64:[30, 11, 26] Operation: 96-70=26
Exploring Operation: 96-30=66, Resulting Numbers: [70, 11, 66]
Generated Node #0,1: 64:[70, 11, 66] Operation: 96-30=66
Exploring Operation: 96-11=85, Resulting Numbers: [70, 30, 85]
Generated Node #0,2: 64:[70, 30, 85] Operation: 96-11=85
Moving to Node #0,0
Current State: 64:[30, 11, 26], Operations: ['96-70=26']
Exploring Operation: 11+26=37, Resulting Numbers: [30, 37]
Generated Node #0,0,0: 64:[30, 37] Operation: 11+26=37
Exploring Operation: 26-11=15, Resulting Numbers: [30, 15]
Generated Node #0,0,1: 64:[30, 15] Operation: 26-11=15
Exploring Operation: 30-26=4, Resulting Numbers: [11, 4]
Generated Node #0,0,2: 64:[11, 4] Operation: 30-26=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[30, 15], Operations: ['96-70=26', '26-11=15']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[11, 4], Operations: ['96-70=26', '30-26=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[30, 37], Operations: ['96-70=26', '11+26=37']
Exploring Operation: 30*37=1110, Resulting Numbers: [1110]
1110,64 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 30+37=67, Resulting Numbers: [67]
67,64 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: 64:[70, 11, 66], Operations: ['96-30=66']
Exploring Operation: 70-66=4, Resulting Numbers: [11, 4]
Generated Node #0,1,0: 64:[11, 4] Operation: 70-66=4
Exploring Operation: 66/11=6, Resulting Numbers: [70, 6]
Generated Node #0,1,1: 64:[70, 6] Operation: 66/11=6
Exploring Operation: 70-11=59, Resulting Numbers: [66, 59]
Generated Node #0,1,2: 64:[66, 59] Operation: 70-11=59
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[11, 4], Operations: ['96-30=66', '70-66=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 64:[66, 59], Operations: ['96-30=66', '70-11=59']
Exploring Operation: 66*59=3894, Resulting Numbers: [3894]
3894,64 unequal: No Solution
Exploring Operation: 66-59=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 66+59=125, Resulting Numbers: [125]
125,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[70, 6], Operations: ['96-30=66', '66/11=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,64 unequal: No Solution
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,64 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[70, 96, 30, 11], Operations: []
Exploring Operation: 96-30=66, Resulting Numbers: [70, 11, 66]
Generated Node #0,1: 64:[70, 11, 66] Operation: 96-30=66
Moving to Node #0,1
Current State: 64:[70, 11, 66], Operations: ['96-30=66']
Exploring Operation: 66/11=6, Resulting Numbers: [70, 6]
Generated Node #0,1,1: 64:[70, 6] Operation: 66/11=6
Moving to Node #0,1,1
Current State: 64:[70, 6], Operations: ['96-30=66', '66/11=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_3 | mult_heuristic |
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