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 |
|---|---|---|---|---|---|---|---|---|
[
57,
27,
3,
62
] | 12 |
[
"62-57=5",
"3*5=15",
"27-15=12"
] |
Current State: 12:[57, 27, 3, 62], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [27, 3, 5]
Generated Node #2: [27, 3, 5] from Operation: 62-57=5
Current State: 12:[27, 3, 5], Operations: ['62-57=5']
Exploring Operation: 3*5=15, Resulting Numbers: [27, 15]
Generated Node #3: [27, 15] from Operation: 3*5=15
Current State: 12:[27, 15], Operations: ['62-57=5', '3*5=15']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
Current State: 12:[57, 27, 3, 62], Operations: []
Exploring Operation: 62-27=35, Resulting Numbers: [57, 3, 35]
Generated Node #0,0: 12:[57, 3, 35] Operation: 62-27=35
Exploring Operation: 57/3=19, Resulting Numbers: [27, 62, 19]
Generated Node #0,1: 12:[27, 62, 19] Operation: 57/3=19
Exploring Operation: 62-57=5, Resulting Numbers: [27, 3, 5]
Generated Node #0,2: 12:[27, 3, 5] Operation: 62-57=5
Exploring Operation: 27/3=9, Resulting Numbers: [57, 62, 9]
Generated Node #0,3: 12:[57, 62, 9] Operation: 27/3=9
Exploring Operation: 57-27=30, Resulting Numbers: [3, 62, 30]
Generated Node #0,4: 12:[3, 62, 30] Operation: 57-27=30
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[27, 3, 5], Operations: ['62-57=5']
Exploring Operation: 5-3=2, Resulting Numbers: [27, 2]
Generated Node #0,2,0: 12:[27, 2] Operation: 5-3=2
Exploring Operation: 3+5=8, Resulting Numbers: [27, 8]
Generated Node #0,2,1: 12:[27, 8] Operation: 3+5=8
Exploring Operation: 27-3=24, Resulting Numbers: [5, 24]
Generated Node #0,2,2: 12:[5, 24] Operation: 27-3=24
Exploring Operation: 27/3=9, Resulting Numbers: [5, 9]
Generated Node #0,2,3: 12:[5, 9] Operation: 27/3=9
Exploring Operation: 27-5=22, Resulting Numbers: [3, 22]
Generated Node #0,2,4: 12:[3, 22] Operation: 27-5=22
Moving to Node #0,2,3
Current State: 12:[5, 9], Operations: ['62-57=5', '27/3=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,12 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Moving to Node #0,2,4
Current State: 12:[3, 22], Operations: ['62-57=5', '27-5=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,12 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[5, 24], Operations: ['62-57=5', '27-3=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,12 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[27, 2], Operations: ['62-57=5', '5-3=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Moving to Node #0,2,1
Current State: 12:[27, 8], Operations: ['62-57=5', '3+5=8']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 27*8=216, Resulting Numbers: [216]
216,12 unequal: No Solution
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,12 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 #0,0
Current State: 12:[57, 3, 35], Operations: ['62-27=35']
Exploring Operation: 57+3=60, Resulting Numbers: [35, 60]
Generated Node #0,0,0: 12:[35, 60] Operation: 57+3=60
Exploring Operation: 57-35=22, Resulting Numbers: [3, 22]
Generated Node #0,0,1: 12:[3, 22] Operation: 57-35=22
Exploring Operation: 57-3=54, Resulting Numbers: [35, 54]
Generated Node #0,0,2: 12:[35, 54] Operation: 57-3=54
Exploring Operation: 35-3=32, Resulting Numbers: [57, 32]
Generated Node #0,0,3: 12:[57, 32] Operation: 35-3=32
Exploring Operation: 57/3=19, Resulting Numbers: [35, 19]
Generated Node #0,0,4: 12:[35, 19] Operation: 57/3=19
Moving to Node #0,0,1
Current State: 12:[3, 22], Operations: ['62-27=35', '57-35=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,12 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,0,4
Current State: 12:[35, 19], Operations: ['62-27=35', '57/3=19']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,12 unequal: No Solution
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[35, 54], Operations: ['62-27=35', '57-3=54']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 35*54=1890, Resulting Numbers: [1890]
1890,12 unequal: No Solution
Exploring Operation: 35+54=89, Resulting Numbers: [89]
89,12 unequal: No Solution
Moving to Node #0,0,3
Current State: 12:[57, 32], Operations: ['62-27=35', '35-3=32']
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,12 unequal: No Solution
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,12 unequal: No Solution
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[35, 60], Operations: ['62-27=35', '57+3=60']
Exploring Operation: 35*60=2100, Resulting Numbers: [2100]
2100,12 unequal: No Solution
Exploring Operation: 35+60=95, Resulting Numbers: [95]
95,12 unequal: No Solution
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,12 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 #0,4
Current State: 12:[3, 62, 30], Operations: ['57-27=30']
Exploring Operation: 62-3=59, Resulting Numbers: [30, 59]
Generated Node #0,4,0: 12:[30, 59] Operation: 62-3=59
Exploring Operation: 62-30=32, Resulting Numbers: [3, 32]
Generated Node #0,4,1: 12:[3, 32] Operation: 62-30=32
Exploring Operation: 3+62=65, Resulting Numbers: [30, 65]
Generated Node #0,4,2: 12:[30, 65] Operation: 3+62=65
Exploring Operation: 30-3=27, Resulting Numbers: [62, 27]
Generated Node #0,4,3: 12:[62, 27] Operation: 30-3=27
Exploring Operation: 30/3=10, Resulting Numbers: [62, 10]
Generated Node #0,4,4: 12:[62, 10] Operation: 30/3=10
Moving to Node #0,4,1
Current State: 12:[3, 32], Operations: ['57-27=30', '62-30=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,12 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Moving to Node #0,4,4
Current State: 12:[62, 10], Operations: ['57-27=30', '30/3=10']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,12 unequal: No Solution
Exploring Operation: 62+10=72, Resulting Numbers: [72]
72,12 unequal: No Solution
Exploring Operation: 62*10=620, Resulting Numbers: [620]
620,12 unequal: No Solution
Moving to Node #0,4,0
Current State: 12:[30, 59], Operations: ['57-27=30', '62-3=59']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Exploring Operation: 30*59=1770, Resulting Numbers: [1770]
1770,12 unequal: No Solution
Exploring Operation: 30+59=89, Resulting Numbers: [89]
89,12 unequal: No Solution
Moving to Node #0,4,3
Current State: 12:[62, 27], Operations: ['57-27=30', '30-3=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 62+27=89, Resulting Numbers: [89]
89,12 unequal: No Solution
Exploring Operation: 62*27=1674, Resulting Numbers: [1674]
1674,12 unequal: No Solution
Moving to Node #0,4,2
Current State: 12:[30, 65], Operations: ['57-27=30', '3+62=65']
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,12 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,12 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
Current State: 12:[27, 62, 19], Operations: ['57/3=19']
Exploring Operation: 27-19=8, Resulting Numbers: [62, 8]
Generated Node #0,1,0: 12:[62, 8] Operation: 27-19=8
Exploring Operation: 27+19=46, Resulting Numbers: [62, 46]
Generated Node #0,1,1: 12:[62, 46] Operation: 27+19=46
Exploring Operation: 62-19=43, Resulting Numbers: [27, 43]
Generated Node #0,1,2: 12:[27, 43] Operation: 62-19=43
Exploring Operation: 62-27=35, Resulting Numbers: [19, 35]
Generated Node #0,1,3: 12:[19, 35] Operation: 62-27=35
Exploring Operation: 27+62=89, Resulting Numbers: [19, 89]
Generated Node #0,1,4: 12:[19, 89] Operation: 27+62=89
Moving to Node #0,1,3
Current State: 12:[19, 35], Operations: ['57/3=19', '62-27=35']
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,12 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[27, 43], Operations: ['57/3=19', '62-19=43']
Exploring Operation: 27+43=70, Resulting Numbers: [70]
70,12 unequal: No Solution
Exploring Operation: 27*43=1161, Resulting Numbers: [1161]
1161,12 unequal: No Solution
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[62, 8], Operations: ['57/3=19', '27-19=8']
Exploring Operation: 62*8=496, Resulting Numbers: [496]
496,12 unequal: No Solution
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 62+8=70, Resulting Numbers: [70]
70,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[62, 46], Operations: ['57/3=19', '27+19=46']
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 62+46=108, Resulting Numbers: [108]
108,12 unequal: No Solution
Exploring Operation: 62*46=2852, Resulting Numbers: [2852]
2852,12 unequal: No Solution
Moving to Node #0,1,4
Current State: 12:[19, 89], Operations: ['57/3=19', '27+62=89']
Exploring Operation: 19*89=1691, Resulting Numbers: [1691]
1691,12 unequal: No Solution
Exploring Operation: 89-19=70, Resulting Numbers: [70]
70,12 unequal: No Solution
Exploring Operation: 19+89=108, Resulting Numbers: [108]
108,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[57, 62, 9], Operations: ['27/3=9']
Exploring Operation: 62-57=5, Resulting Numbers: [9, 5]
Generated Node #0,3,0: 12:[9, 5] Operation: 62-57=5
Exploring Operation: 57+9=66, Resulting Numbers: [62, 66]
Generated Node #0,3,1: 12:[62, 66] Operation: 57+9=66
Exploring Operation: 62+9=71, Resulting Numbers: [57, 71]
Generated Node #0,3,2: 12:[57, 71] Operation: 62+9=71
Exploring Operation: 62-9=53, Resulting Numbers: [57, 53]
Generated Node #0,3,3: 12:[57, 53] Operation: 62-9=53
Exploring Operation: 57-9=48, Resulting Numbers: [62, 48]
Generated Node #0,3,4: 12:[62, 48] Operation: 57-9=48
Moving to Node #0,3,0
Current State: 12:[9, 5], Operations: ['27/3=9', '62-57=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,12 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Moving to Node #0,3,4
Current State: 12:[62, 48], Operations: ['27/3=9', '57-9=48']
Exploring Operation: 62+48=110, Resulting Numbers: [110]
110,12 unequal: No Solution
Exploring Operation: 62*48=2976, Resulting Numbers: [2976]
2976,12 unequal: No Solution
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Moving to Node #0,3,3
Current State: 12:[57, 53], Operations: ['27/3=9', '62-9=53']
Exploring Operation: 57*53=3021, Resulting Numbers: [3021]
3021,12 unequal: No Solution
Exploring Operation: 57+53=110, Resulting Numbers: [110]
110,12 unequal: No Solution
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Moving to Node #0,3,1
Current State: 12:[62, 66], Operations: ['27/3=9', '57+9=66']
Exploring Operation: 62+66=128, Resulting Numbers: [128]
128,12 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 62*66=4092, Resulting Numbers: [4092]
4092,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[57, 71], Operations: ['27/3=9', '62+9=71']
Exploring Operation: 57+71=128, Resulting Numbers: [128]
128,12 unequal: No Solution
Exploring Operation: 71-57=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 57*71=4047, Resulting Numbers: [4047]
4047,12 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
|
[
24,
31,
12,
30
] | 49 |
[
"31-24=7",
"12+30=42",
"7+42=49"
] |
Current State: 49:[24, 31, 12, 30], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [12, 30, 7]
Generated Node #2: [12, 30, 7] from Operation: 31-24=7
Current State: 49:[12, 30, 7], Operations: ['31-24=7']
Exploring Operation: 12+30=42, Resulting Numbers: [7, 42]
Generated Node #3: [7, 42] from Operation: 12+30=42
Current State: 49:[7, 42], Operations: ['31-24=7', '12+30=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[24, 31, 12, 30], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [12, 30, 7]
Generated Node #0,0: 49:[12, 30, 7] Operation: 31-24=7
Moving to Node #0,0
Current State: 49:[12, 30, 7], Operations: ['31-24=7']
Exploring Operation: 12+30=42, Resulting Numbers: [7, 42]
Generated Node #0,0,0: 49:[7, 42] Operation: 12+30=42
Moving to Node #0,0,0
Current State: 49:[7, 42], Operations: ['31-24=7', '12+30=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[24, 31, 12, 30], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [12, 30, 7]
Generated Node #0,0: 49:[12, 30, 7] Operation: 31-24=7
Moving to Node #0,0
Current State: 49:[12, 30, 7], Operations: ['31-24=7']
Exploring Operation: 12+30=42, Resulting Numbers: [7, 42]
Generated Node #0,0,0: 49:[7, 42] Operation: 12+30=42
Moving to Node #0,0,0
Current State: 49:[7, 42], Operations: ['31-24=7', '12+30=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.993924 |
hs_1
|
sum_heuristic
|
[
54,
82,
71,
87
] | 44 |
[
"82-54=28",
"87-71=16",
"28+16=44"
] |
Current State: 44:[54, 82, 71, 87], Operations: []
Exploring Operation: 82-54=28, Resulting Numbers: [71, 87, 28]
Generated Node #2: [71, 87, 28] from Operation: 82-54=28
Current State: 44:[71, 87, 28], Operations: ['82-54=28']
Exploring Operation: 87-71=16, Resulting Numbers: [28, 16]
Generated Node #3: [28, 16] from Operation: 87-71=16
Current State: 44:[28, 16], Operations: ['82-54=28', '87-71=16']
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
Current State: 44:[54, 82, 71, 87], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [54, 71, 5]
Generated Node #0,0: 44:[54, 71, 5] Operation: 87-82=5
Exploring Operation: 82-54=28, Resulting Numbers: [71, 87, 28]
Generated Node #0,1: 44:[71, 87, 28] Operation: 82-54=28
Exploring Operation: 87-71=16, Resulting Numbers: [54, 82, 16]
Generated Node #0,2: 44:[54, 82, 16] Operation: 87-71=16
Exploring Operation: 82-71=11, Resulting Numbers: [54, 87, 11]
Generated Node #0,3: 44:[54, 87, 11] Operation: 82-71=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[54, 71, 5], Operations: ['87-82=5']
Exploring Operation: 71-5=66, Resulting Numbers: [54, 66]
Generated Node #0,0,0: 44:[54, 66] Operation: 71-5=66
Exploring Operation: 54-5=49, Resulting Numbers: [71, 49]
Generated Node #0,0,1: 44:[71, 49] Operation: 54-5=49
Exploring Operation: 54+5=59, Resulting Numbers: [71, 59]
Generated Node #0,0,2: 44:[71, 59] Operation: 54+5=59
Exploring Operation: 71-54=17, Resulting Numbers: [5, 17]
Generated Node #0,0,3: 44:[5, 17] Operation: 71-54=17
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 44:[5, 17], Operations: ['87-82=5', '71-54=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,44 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,44 unequal: No Solution
No 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: 44:[54, 66], Operations: ['87-82=5', '71-5=66']
Exploring Operation: 66-54=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 54+66=120, Resulting Numbers: [120]
120,44 unequal: No Solution
Exploring Operation: 54*66=3564, Resulting Numbers: [3564]
3564,44 unequal: No Solution
No 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: 44:[71, 49], Operations: ['87-82=5', '54-5=49']
Exploring Operation: 71+49=120, Resulting Numbers: [120]
120,44 unequal: No Solution
Exploring Operation: 71-49=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Exploring Operation: 71*49=3479, Resulting Numbers: [3479]
3479,44 unequal: No Solution
No 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: 44:[71, 59], Operations: ['87-82=5', '54+5=59']
Exploring Operation: 71*59=4189, Resulting Numbers: [4189]
4189,44 unequal: No Solution
Exploring Operation: 71+59=130, Resulting Numbers: [130]
130,44 unequal: No Solution
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[54, 82, 16], Operations: ['87-71=16']
Exploring Operation: 82-54=28, Resulting Numbers: [16, 28]
Generated Node #0,2,0: 44:[16, 28] Operation: 82-54=28
Exploring Operation: 54+16=70, Resulting Numbers: [82, 70]
Generated Node #0,2,1: 44:[82, 70] Operation: 54+16=70
Exploring Operation: 82-16=66, Resulting Numbers: [54, 66]
Generated Node #0,2,2: 44:[54, 66] Operation: 82-16=66
Exploring Operation: 54-16=38, Resulting Numbers: [82, 38]
Generated Node #0,2,3: 44:[82, 38] Operation: 54-16=38
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 44:[16, 28], Operations: ['87-71=16', '82-54=28']
Exploring Operation: 16*28=448, Resulting Numbers: [448]
448,44 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[54, 82, 71, 87], Operations: []
Exploring Operation: 87-71=16, Resulting Numbers: [54, 82, 16]
Generated Node #0,2: 44:[54, 82, 16] Operation: 87-71=16
Moving to Node #0,2
Current State: 44:[54, 82, 16], Operations: ['87-71=16']
Exploring Operation: 82-54=28, Resulting Numbers: [16, 28]
Generated Node #0,2,0: 44:[16, 28] Operation: 82-54=28
Moving to Node #0,2,0
Current State: 44:[16, 28], Operations: ['87-71=16', '82-54=28']
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 |
hs_4
|
mult_heuristic
|
[
58,
60,
14,
71
] | 61 |
[
"58+60=118",
"71-14=57",
"118-57=61"
] |
Current State: 61:[58, 60, 14, 71], Operations: []
Exploring Operation: 58+60=118, Resulting Numbers: [14, 71, 118]
Generated Node #2: [14, 71, 118] from Operation: 58+60=118
Current State: 61:[14, 71, 118], Operations: ['58+60=118']
Exploring Operation: 71-14=57, Resulting Numbers: [118, 57]
Generated Node #3: [118, 57] from Operation: 71-14=57
Current State: 61:[118, 57], Operations: ['58+60=118', '71-14=57']
Exploring Operation: 118-57=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
Current State: 61:[58, 60, 14, 71], Operations: []
Exploring Operation: 71-14=57, Resulting Numbers: [58, 60, 57]
Generated Node #0,0: 61:[58, 60, 57] Operation: 71-14=57
Exploring Operation: 58+14=72, Resulting Numbers: [60, 71, 72]
Generated Node #0,1: 61:[60, 71, 72] Operation: 58+14=72
Moving to Node #0,0
Current State: 61:[58, 60, 57], Operations: ['71-14=57']
Exploring Operation: 60+57=117, Resulting Numbers: [58, 117]
Generated Node #0,0,0: 61:[58, 117] Operation: 60+57=117
Exploring Operation: 58+57=115, Resulting Numbers: [60, 115]
Generated Node #0,0,1: 61:[60, 115] Operation: 58+57=115
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[60, 115], Operations: ['71-14=57', '58+57=115']
Exploring Operation: 115-60=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Exploring Operation: 60+115=175, Resulting Numbers: [175]
175,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[58, 117], Operations: ['71-14=57', '60+57=117']
Exploring Operation: 117-58=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 58+117=175, Resulting Numbers: [175]
175,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 61:[60, 71, 72], Operations: ['58+14=72']
Exploring Operation: 71-60=11, Resulting Numbers: [72, 11]
Generated Node #0,1,0: 61:[72, 11] Operation: 71-60=11
Exploring Operation: 72-60=12, Resulting Numbers: [71, 12]
Generated Node #0,1,1: 61:[71, 12] Operation: 72-60=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[71, 12], Operations: ['58+14=72', '72-60=12']
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[72, 11], Operations: ['58+14=72', '71-60=11']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[58, 60, 14, 71], Operations: []
Exploring Operation: 58+14=72, Resulting Numbers: [60, 71, 72]
Generated Node #0,1: 61:[60, 71, 72] Operation: 58+14=72
Moving to Node #0,1
Current State: 61:[60, 71, 72], Operations: ['58+14=72']
Exploring Operation: 71-60=11, Resulting Numbers: [72, 11]
Generated Node #0,1,0: 61:[72, 11] Operation: 71-60=11
Moving to Node #0,1,0
Current State: 61:[72, 11], Operations: ['58+14=72', '71-60=11']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_2
|
sum_heuristic
|
[
66,
91,
2,
24
] | 98 |
[
"91-66=25",
"24+25=49",
"2*49=98"
] |
Current State: 98:[66, 91, 2, 24], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [2, 24, 25]
Generated Node #2: [2, 24, 25] from Operation: 91-66=25
Current State: 98:[2, 24, 25], Operations: ['91-66=25']
Exploring Operation: 24+25=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 24+25=49
Current State: 98:[2, 49], Operations: ['91-66=25', '24+25=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
Current State: 98:[66, 91, 2, 24], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [2, 24, 25]
Generated Node #0,0: 98:[2, 24, 25] Operation: 91-66=25
Exploring Operation: 66-24=42, Resulting Numbers: [91, 2, 42]
Generated Node #0,1: 98:[91, 2, 42] Operation: 66-24=42
Exploring Operation: 66+24=90, Resulting Numbers: [91, 2, 90]
Generated Node #0,2: 98:[91, 2, 90] Operation: 66+24=90
Moving to Node #0,1
Current State: 98:[91, 2, 42], Operations: ['66-24=42']
Exploring Operation: 91+2=93, Resulting Numbers: [42, 93]
Generated Node #0,1,0: 98:[42, 93] Operation: 91+2=93
Exploring Operation: 2+42=44, Resulting Numbers: [91, 44]
Generated Node #0,1,1: 98:[91, 44] Operation: 2+42=44
Exploring Operation: 91-42=49, Resulting Numbers: [2, 49]
Generated Node #0,1,2: 98:[2, 49] Operation: 91-42=49
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 98:[2, 49], Operations: ['66-24=42', '91-42=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[66, 91, 2, 24], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [91, 2, 42]
Generated Node #0,1: 98:[91, 2, 42] Operation: 66-24=42
Moving to Node #0,1
Current State: 98:[91, 2, 42], Operations: ['66-24=42']
Exploring Operation: 91-42=49, Resulting Numbers: [2, 49]
Generated Node #0,1,2: 98:[2, 49] Operation: 91-42=49
Moving to Node #0,1,2
Current State: 98:[2, 49], Operations: ['66-24=42', '91-42=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_3
|
mult_heuristic
|
[
44,
27,
12,
43
] | 56 |
[
"44*27=1188",
"1188/12=99",
"99-43=56"
] |
Current State: 56:[44, 27, 12, 43], Operations: []
Exploring Operation: 44*27=1188, Resulting Numbers: [12, 43, 1188]
Generated Node #2: [12, 43, 1188] from Operation: 44*27=1188
Current State: 56:[12, 43, 1188], Operations: ['44*27=1188']
Exploring Operation: 1188/12=99, Resulting Numbers: [43, 99]
Generated Node #3: [43, 99] from Operation: 1188/12=99
Current State: 56:[43, 99], Operations: ['44*27=1188', '1188/12=99']
Exploring Operation: 99-43=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[44, 27, 12, 43], Operations: []
Exploring Operation: 12+43=55, Resulting Numbers: [44, 27, 55]
Generated Node #0,0: 56:[44, 27, 55] Operation: 12+43=55
Exploring Operation: 44-43=1, Resulting Numbers: [27, 12, 1]
Generated Node #0,1: 56:[27, 12, 1] Operation: 44-43=1
Exploring Operation: 44+12=56, Resulting Numbers: [27, 43, 56]
Generated Node #0,2: 56:[27, 43, 56] Operation: 44+12=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[27, 12, 1], Operations: ['44-43=1']
Exploring Operation: 12+1=13, Resulting Numbers: [27, 13]
Generated Node #0,1,0: 56:[27, 13] Operation: 12+1=13
Exploring Operation: 27+1=28, Resulting Numbers: [12, 28]
Generated Node #0,1,1: 56:[12, 28] Operation: 27+1=28
Exploring Operation: 27-12=15, Resulting Numbers: [1, 15]
Generated Node #0,1,2: 56:[1, 15] Operation: 27-12=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 56:[27, 13], Operations: ['44-43=1', '12+1=13']
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,56 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,56 unequal: No Solution
No 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: 56:[12, 28], Operations: ['44-43=1', '27+1=28']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,56 unequal: No Solution
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,56 unequal: No Solution
No 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: 56:[1, 15], Operations: ['44-43=1', '27-12=15']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,56 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: 56:[44, 27, 55], Operations: ['12+43=55']
Exploring Operation: 55-44=11, Resulting Numbers: [27, 11]
Generated Node #0,0,0: 56:[27, 11] Operation: 55-44=11
Exploring Operation: 55-27=28, Resulting Numbers: [44, 28]
Generated Node #0,0,1: 56:[44, 28] Operation: 55-27=28
Exploring Operation: 44-27=17, Resulting Numbers: [55, 17]
Generated Node #0,0,2: 56:[55, 17] Operation: 44-27=17
Moving to Node #0,0,0
Current State: 56:[27, 11], Operations: ['12+43=55', '55-44=11']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,56 unequal: No Solution
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[55, 17], Operations: ['12+43=55', '44-27=17']
Exploring Operation: 55+17=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,56 unequal: No Solution
Exploring Operation: 55*17=935, Resulting Numbers: [935]
935,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[44, 28], Operations: ['12+43=55', '55-27=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 44*28=1232, Resulting Numbers: [1232]
1232,56 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
Current State: 56:[27, 43, 56], Operations: ['44+12=56']
Exploring Operation: 56-43=13, Resulting Numbers: [27, 13]
Generated Node #0,2,0: 56:[27, 13] Operation: 56-43=13
Exploring Operation: 43-27=16, Resulting Numbers: [56, 16]
Generated Node #0,2,1: 56:[56, 16] Operation: 43-27=16
Exploring Operation: 27+43=70, Resulting Numbers: [56, 70]
Generated Node #0,2,2: 56:[56, 70] Operation: 27+43=70
Moving to Node #0,2,0
Current State: 56:[27, 13], Operations: ['44+12=56', '56-43=13']
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,56 unequal: No Solution
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[56, 16], Operations: ['44+12=56', '43-27=16']
Exploring Operation: 56*16=896, Resulting Numbers: [896]
896,56 unequal: No Solution
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[56, 70], Operations: ['44+12=56', '27+43=70']
Exploring Operation: 56+70=126, Resulting Numbers: [126]
126,56 unequal: No Solution
Exploring Operation: 56*70=3920, Resulting Numbers: [3920]
3920,56 unequal: No Solution
Exploring Operation: 70-56=14, Resulting Numbers: [14]
14,56 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
|
[
31,
8,
54,
40
] | 28 |
[
"54-31=23",
"40/8=5",
"23+5=28"
] |
Current State: 28:[31, 8, 54, 40], Operations: []
Exploring Operation: 54-31=23, Resulting Numbers: [8, 40, 23]
Generated Node #2: [8, 40, 23] from Operation: 54-31=23
Current State: 28:[8, 40, 23], Operations: ['54-31=23']
Exploring Operation: 40/8=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 40/8=5
Current State: 28:[23, 5], Operations: ['54-31=23', '40/8=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
Current State: 28:[31, 8, 54, 40], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [31, 8, 14]
Generated Node #0,0: 28:[31, 8, 14] Operation: 54-40=14
Moving to Node #0,0
Current State: 28:[31, 8, 14], Operations: ['54-40=14']
Exploring Operation: 31-14=17, Resulting Numbers: [8, 17]
Generated Node #0,0,0: 28:[8, 17] Operation: 31-14=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[8, 17], Operations: ['54-40=14', '31-14=17']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,28 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
|
[
3,
2,
25,
63
] | 52 |
[
"25-3=22",
"22/2=11",
"63-11=52"
] |
Current State: 52:[3, 2, 25, 63], Operations: []
Exploring Operation: 25-3=22, Resulting Numbers: [2, 63, 22]
Generated Node #2: [2, 63, 22] from Operation: 25-3=22
Current State: 52:[2, 63, 22], Operations: ['25-3=22']
Exploring Operation: 22/2=11, Resulting Numbers: [63, 11]
Generated Node #3: [63, 11] from Operation: 22/2=11
Current State: 52:[63, 11], Operations: ['25-3=22', '22/2=11']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[3, 2, 25, 63], Operations: []
Exploring Operation: 3+2=5, Resulting Numbers: [25, 63, 5]
Generated Node #0,0: 52:[25, 63, 5] Operation: 3+2=5
Exploring Operation: 63-2=61, Resulting Numbers: [3, 25, 61]
Generated Node #0,1: 52:[3, 25, 61] Operation: 63-2=61
Exploring Operation: 63-3=60, Resulting Numbers: [2, 25, 60]
Generated Node #0,2: 52:[2, 25, 60] Operation: 63-3=60
Exploring Operation: 63/3=21, Resulting Numbers: [2, 25, 21]
Generated Node #0,3: 52:[2, 25, 21] Operation: 63/3=21
Exploring Operation: 3-2=1, Resulting Numbers: [25, 63, 1]
Generated Node #0,4: 52:[25, 63, 1] Operation: 3-2=1
Moving to Node #0,3
Current State: 52:[2, 25, 21], Operations: ['63/3=21']
Exploring Operation: 25-21=4, Resulting Numbers: [2, 4]
Generated Node #0,3,0: 52:[2, 4] Operation: 25-21=4
Exploring Operation: 2+21=23, Resulting Numbers: [25, 23]
Generated Node #0,3,1: 52:[25, 23] Operation: 2+21=23
Exploring Operation: 2*25=50, Resulting Numbers: [21, 50]
Generated Node #0,3,2: 52:[21, 50] Operation: 2*25=50
Exploring Operation: 25+21=46, Resulting Numbers: [2, 46]
Generated Node #0,3,3: 52:[2, 46] Operation: 25+21=46
Exploring Operation: 2+25=27, Resulting Numbers: [21, 27]
Generated Node #0,3,4: 52:[21, 27] Operation: 2+25=27
Moving to Node #0,2
Current State: 52:[2, 25, 60], Operations: ['63-3=60']
Exploring Operation: 2*25=50, Resulting Numbers: [60, 50]
Generated Node #0,2,0: 52:[60, 50] Operation: 2*25=50
Exploring Operation: 60-2=58, Resulting Numbers: [25, 58]
Generated Node #0,2,1: 52:[25, 58] Operation: 60-2=58
Exploring Operation: 60/2=30, Resulting Numbers: [25, 30]
Generated Node #0,2,2: 52:[25, 30] Operation: 60/2=30
Exploring Operation: 2+25=27, Resulting Numbers: [60, 27]
Generated Node #0,2,3: 52:[60, 27] Operation: 2+25=27
Exploring Operation: 60-25=35, Resulting Numbers: [2, 35]
Generated Node #0,2,4: 52:[2, 35] Operation: 60-25=35
Moving to Node #0,1
Current State: 52:[3, 25, 61], Operations: ['63-2=61']
Exploring Operation: 3+25=28, Resulting Numbers: [61, 28]
Generated Node #0,1,0: 52:[61, 28] Operation: 3+25=28
Exploring Operation: 25-3=22, Resulting Numbers: [61, 22]
Generated Node #0,1,1: 52:[61, 22] Operation: 25-3=22
Exploring Operation: 61-25=36, Resulting Numbers: [3, 36]
Generated Node #0,1,2: 52:[3, 36] Operation: 61-25=36
Exploring Operation: 3+61=64, Resulting Numbers: [25, 64]
Generated Node #0,1,3: 52:[25, 64] Operation: 3+61=64
Exploring Operation: 61-3=58, Resulting Numbers: [25, 58]
Generated Node #0,1,4: 52:[25, 58] Operation: 61-3=58
Moving to Node #0,0
Current State: 52:[25, 63, 5], Operations: ['3+2=5']
Exploring Operation: 25-5=20, Resulting Numbers: [63, 20]
Generated Node #0,0,0: 52:[63, 20] Operation: 25-5=20
Exploring Operation: 63-25=38, Resulting Numbers: [5, 38]
Generated Node #0,0,1: 52:[5, 38] Operation: 63-25=38
Exploring Operation: 25+5=30, Resulting Numbers: [63, 30]
Generated Node #0,0,2: 52:[63, 30] Operation: 25+5=30
Exploring Operation: 63-5=58, Resulting Numbers: [25, 58]
Generated Node #0,0,3: 52:[25, 58] Operation: 63-5=58
Exploring Operation: 25/5=5, Resulting Numbers: [63, 5]
Generated Node #0,0,4: 52:[63, 5] Operation: 25/5=5
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 52:[25, 58], Operations: ['3+2=5', '63-5=58']
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 25*58=1450, Resulting Numbers: [1450]
1450,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 52:[63, 5], Operations: ['3+2=5', '25/5=5']
Exploring Operation: 63+5=68, Resulting Numbers: [68]
68,52 unequal: No Solution
Exploring Operation: 63*5=315, Resulting Numbers: [315]
315,52 unequal: No Solution
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[5, 38], Operations: ['3+2=5', '63-25=38']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,52 unequal: No Solution
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 52:[63, 30], Operations: ['3+2=5', '25+5=30']
Exploring Operation: 63*30=1890, Resulting Numbers: [1890]
1890,52 unequal: No Solution
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,52 unequal: No Solution
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[63, 20], Operations: ['3+2=5', '25-5=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 52:[25, 63, 1], Operations: ['3-2=1']
Exploring Operation: 63-1=62, Resulting Numbers: [25, 62]
Generated Node #0,4,0: 52:[25, 62] Operation: 63-1=62
Exploring Operation: 25+1=26, Resulting Numbers: [63, 26]
Generated Node #0,4,1: 52:[63, 26] Operation: 25+1=26
Exploring Operation: 25*1=25, Resulting Numbers: [63, 25]
Generated Node #0,4,2: 52:[63, 25] Operation: 25*1=25
Exploring Operation: 25/1=25, Resulting Numbers: [63, 25]
Generated Node #0,4,3: 52:[63, 25] Operation: 25/1=25
Exploring Operation: 63*1=63, Resulting Numbers: [25, 63]
Generated Node #0,4,4: 52:[25, 63] Operation: 63*1=63
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 52:[25, 62], Operations: ['3-2=1', '63-1=62']
Exploring Operation: 62-25=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 25*62=1550, Resulting Numbers: [1550]
1550,52 unequal: No Solution
Exploring Operation: 25+62=87, Resulting Numbers: [87]
87,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 52:[63, 26], Operations: ['3-2=1', '25+1=26']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,52 unequal: No Solution
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 52:[63, 25], Operations: ['3-2=1', '25*1=25']
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,52 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 52:[63, 25], Operations: ['3-2=1', '25/1=25']
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,52 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 52:[25, 63], Operations: ['3-2=1', '63*1=63']
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 25+63=88, Resulting Numbers: [88]
88,52 unequal: No Solution
Exploring Operation: 25*63=1575, Resulting Numbers: [1575]
1575,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 52:[2, 4], Operations: ['63/3=21', '25-21=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Moving to Node #0,3,1
Current State: 52:[25, 23], Operations: ['63/3=21', '2+21=23']
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 25*23=575, Resulting Numbers: [575]
575,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[25, 30], Operations: ['63-3=60', '60/2=30']
Exploring Operation: 25*30=750, Resulting Numbers: [750]
750,52 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[2, 46], Operations: ['63/3=21', '25+21=46']
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,52 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Moving to Node #0,3,4
Current State: 52:[21, 27], Operations: ['63/3=21', '2+25=27']
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,52 unequal: No Solution
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[25, 58], Operations: ['63-3=60', '60-2=58']
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 25*58=1450, Resulting Numbers: [1450]
1450,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[21, 50], Operations: ['63/3=21', '2*25=50']
Exploring Operation: 21*50=1050, Resulting Numbers: [1050]
1050,52 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 21+50=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Moving to Node #0,1,4
Current State: 52:[25, 58], Operations: ['63-2=61', '61-3=58']
Exploring Operation: 25*58=1450, Resulting Numbers: [1450]
1450,52 unequal: No Solution
Exploring Operation: 58-25=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Moving to Node #0,2,4
Current State: 52:[2, 35], Operations: ['63-3=60', '60-25=35']
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[60, 27], Operations: ['63-3=60', '2+25=27']
Exploring Operation: 60*27=1620, Resulting Numbers: [1620]
1620,52 unequal: No Solution
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,52 unequal: No Solution
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[60, 50], Operations: ['63-3=60', '2*25=50']
Exploring Operation: 60+50=110, Resulting Numbers: [110]
110,52 unequal: No Solution
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 60*50=3000, Resulting Numbers: [3000]
3000,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[3, 36], Operations: ['63-2=61', '61-25=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[61, 28], Operations: ['63-2=61', '3+25=28']
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,52 unequal: No Solution
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[25, 64], Operations: ['63-2=61', '3+61=64']
Exploring Operation: 25*64=1600, Resulting Numbers: [1600]
1600,52 unequal: No Solution
Exploring Operation: 25+64=89, Resulting Numbers: [89]
89,52 unequal: No Solution
Exploring Operation: 64-25=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[61, 22], Operations: ['63-2=61', '25-3=22']
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Exploring Operation: 61+22=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 61*22=1342, Resulting Numbers: [1342]
1342,52 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
15,
11,
69,
38
] | 83 |
[
"15-11=4",
"38*4=152",
"152-69=83"
] |
Current State: 83:[15, 11, 69, 38], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [69, 38, 4]
Generated Node #2: [69, 38, 4] from Operation: 15-11=4
Current State: 83:[69, 38, 4], Operations: ['15-11=4']
Exploring Operation: 38*4=152, Resulting Numbers: [69, 152]
Generated Node #3: [69, 152] from Operation: 38*4=152
Current State: 83:[69, 152], Operations: ['15-11=4', '38*4=152']
Exploring Operation: 152-69=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
Current State: 83:[15, 11, 69, 38], Operations: []
Exploring Operation: 15+38=53, Resulting Numbers: [11, 69, 53]
Generated Node #0,0: 83:[11, 69, 53] Operation: 15+38=53
Exploring Operation: 15+11=26, Resulting Numbers: [69, 38, 26]
Generated Node #0,1: 83:[69, 38, 26] Operation: 15+11=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[11, 69, 53], Operations: ['15+38=53']
Exploring Operation: 11+53=64, Resulting Numbers: [69, 64]
Generated Node #0,0,0: 83:[69, 64] Operation: 11+53=64
Exploring Operation: 11+69=80, Resulting Numbers: [53, 80]
Generated Node #0,0,1: 83:[53, 80] Operation: 11+69=80
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[69, 64], Operations: ['15+38=53', '11+53=64']
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 69+64=133, Resulting Numbers: [133]
133,83 unequal: No Solution
No 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: 83:[53, 80], Operations: ['15+38=53', '11+69=80']
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 53+80=133, Resulting Numbers: [133]
133,83 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: 83:[69, 38, 26], Operations: ['15+11=26']
Exploring Operation: 69+26=95, Resulting Numbers: [38, 95]
Generated Node #0,1,0: 83:[38, 95] Operation: 69+26=95
Exploring Operation: 38+26=64, Resulting Numbers: [69, 64]
Generated Node #0,1,1: 83:[69, 64] Operation: 38+26=64
Moving to Node #0,1,1
Current State: 83:[69, 64], Operations: ['15+11=26', '38+26=64']
Exploring Operation: 69+64=133, Resulting Numbers: [133]
133,83 unequal: No Solution
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[38, 95], Operations: ['15+11=26', '69+26=95']
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,83 unequal: No Solution
Exploring Operation: 38+95=133, Resulting Numbers: [133]
133,83 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
|
[
3,
48,
38,
7
] | 50 |
[
"7-3=4",
"48/4=12",
"38+12=50"
] |
Current State: 50:[3, 48, 38, 7], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [48, 38, 4]
Generated Node #2: [48, 38, 4] from Operation: 7-3=4
Current State: 50:[48, 38, 4], Operations: ['7-3=4']
Exploring Operation: 48/4=12, Resulting Numbers: [38, 12]
Generated Node #3: [38, 12] from Operation: 48/4=12
Current State: 50:[38, 12], Operations: ['7-3=4', '48/4=12']
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[3, 48, 38, 7], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [3, 7, 10]
Generated Node #0,0: 50:[3, 7, 10] Operation: 48-38=10
Moving to Node #0,0
Current State: 50:[3, 7, 10], Operations: ['48-38=10']
Exploring Operation: 3+7=10, Resulting Numbers: [10, 10]
Generated Node #0,0,0: 50:[10, 10] Operation: 3+7=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[10, 10], Operations: ['48-38=10', '3+7=10']
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,50 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
|
[
74,
27,
59,
59
] | 48 |
[
"74-27=47",
"59/59=1",
"47+1=48"
] |
Current State: 48:[74, 27, 59, 59], Operations: []
Exploring Operation: 74-27=47, Resulting Numbers: [59, 59, 47]
Generated Node #2: [59, 59, 47] from Operation: 74-27=47
Current State: 48:[59, 59, 47], Operations: ['74-27=47']
Exploring Operation: 59/59=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 59/59=1
Current State: 48:[47, 1], Operations: ['74-27=47', '59/59=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
Current State: 48:[74, 27, 59, 59], Operations: []
Exploring Operation: 74-59=15, Resulting Numbers: [27, 59, 15]
Generated Node #0,0: 48:[27, 59, 15] Operation: 74-59=15
Exploring Operation: 74-59=15, Resulting Numbers: [27, 59, 15]
Generated Node #0,1: 48:[27, 59, 15] Operation: 74-59=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[27, 59, 15], Operations: ['74-59=15']
Exploring Operation: 59-27=32, Resulting Numbers: [15, 32]
Generated Node #0,0,0: 48:[15, 32] Operation: 59-27=32
Exploring Operation: 59-15=44, Resulting Numbers: [27, 44]
Generated Node #0,0,1: 48:[27, 44] Operation: 59-15=44
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[27, 44], Operations: ['74-59=15', '59-15=44']
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,48 unequal: No Solution
No 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: 48:[15, 32], Operations: ['74-59=15', '59-27=32']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,48 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: 48:[27, 59, 15], Operations: ['74-59=15']
Exploring Operation: 59-15=44, Resulting Numbers: [27, 44]
Generated Node #0,1,0: 48:[27, 44] Operation: 59-15=44
Exploring Operation: 59-27=32, Resulting Numbers: [15, 32]
Generated Node #0,1,1: 48:[15, 32] Operation: 59-27=32
Moving to Node #0,1,0
Current State: 48:[27, 44], Operations: ['74-59=15', '59-15=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[15, 32], Operations: ['74-59=15', '59-27=32']
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
87,
69,
93,
35
] | 32 |
[
"87*35=3045",
"3045-69=2976",
"2976/93=32"
] |
Current State: 32:[87, 69, 93, 35], Operations: []
Exploring Operation: 87*35=3045, Resulting Numbers: [69, 93, 3045]
Generated Node #2: [69, 93, 3045] from Operation: 87*35=3045
Current State: 32:[69, 93, 3045], Operations: ['87*35=3045']
Exploring Operation: 3045-69=2976, Resulting Numbers: [93, 2976]
Generated Node #3: [93, 2976] from Operation: 3045-69=2976
Current State: 32:[93, 2976], Operations: ['87*35=3045', '3045-69=2976']
Exploring Operation: 2976/93=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[87, 69, 93, 35], Operations: []
Exploring Operation: 87-35=52, Resulting Numbers: [69, 93, 52]
Generated Node #0,0: 32:[69, 93, 52] Operation: 87-35=52
Exploring Operation: 87-69=18, Resulting Numbers: [93, 35, 18]
Generated Node #0,1: 32:[93, 35, 18] Operation: 87-69=18
Exploring Operation: 93-87=6, Resulting Numbers: [69, 35, 6]
Generated Node #0,2: 32:[69, 35, 6] Operation: 93-87=6
Exploring Operation: 69-35=34, Resulting Numbers: [87, 93, 34]
Generated Node #0,3: 32:[87, 93, 34] Operation: 69-35=34
Exploring Operation: 93-69=24, Resulting Numbers: [87, 35, 24]
Generated Node #0,4: 32:[87, 35, 24] Operation: 93-69=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[69, 35, 6], Operations: ['93-87=6']
Exploring Operation: 69+6=75, Resulting Numbers: [35, 75]
Generated Node #0,2,0: 32:[35, 75] Operation: 69+6=75
Exploring Operation: 35-6=29, Resulting Numbers: [69, 29]
Generated Node #0,2,1: 32:[69, 29] Operation: 35-6=29
Exploring Operation: 35+6=41, Resulting Numbers: [69, 41]
Generated Node #0,2,2: 32:[69, 41] Operation: 35+6=41
Exploring Operation: 69-35=34, Resulting Numbers: [6, 34]
Generated Node #0,2,3: 32:[6, 34] Operation: 69-35=34
Exploring Operation: 69-6=63, Resulting Numbers: [35, 63]
Generated Node #0,2,4: 32:[35, 63] Operation: 69-6=63
Moving to Node #0,2,3
Current State: 32:[6, 34], Operations: ['93-87=6', '69-35=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 6*34=204, Resulting Numbers: [204]
204,32 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Moving to Node #0,2,4
Current State: 32:[35, 63], Operations: ['93-87=6', '69-6=63']
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,32 unequal: No Solution
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,32 unequal: No Solution
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[69, 29], Operations: ['93-87=6', '35-6=29']
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,32 unequal: No Solution
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 69*29=2001, Resulting Numbers: [2001]
2001,32 unequal: No Solution
Moving to Node #0,2,0
Current State: 32:[35, 75], Operations: ['93-87=6', '69+6=75']
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 35*75=2625, Resulting Numbers: [2625]
2625,32 unequal: No Solution
Exploring Operation: 35+75=110, Resulting Numbers: [110]
110,32 unequal: No Solution
Moving to Node #0,2,2
Current State: 32:[69, 41], Operations: ['93-87=6', '35+6=41']
Exploring Operation: 69*41=2829, Resulting Numbers: [2829]
2829,32 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 69+41=110, Resulting Numbers: [110]
110,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[93, 35, 18], Operations: ['87-69=18']
Exploring Operation: 93+18=111, Resulting Numbers: [35, 111]
Generated Node #0,1,0: 32:[35, 111] Operation: 93+18=111
Exploring Operation: 93-35=58, Resulting Numbers: [18, 58]
Generated Node #0,1,1: 32:[18, 58] Operation: 93-35=58
Exploring Operation: 35-18=17, Resulting Numbers: [93, 17]
Generated Node #0,1,2: 32:[93, 17] Operation: 35-18=17
Exploring Operation: 93-18=75, Resulting Numbers: [35, 75]
Generated Node #0,1,3: 32:[35, 75] Operation: 93-18=75
Exploring Operation: 35+18=53, Resulting Numbers: [93, 53]
Generated Node #0,1,4: 32:[93, 53] Operation: 35+18=53
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 32:[18, 58], Operations: ['87-69=18', '93-35=58']
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 18+58=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 18*58=1044, Resulting Numbers: [1044]
1044,32 unequal: No Solution
No 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: 32:[35, 75], Operations: ['87-69=18', '93-18=75']
Exploring Operation: 35*75=2625, Resulting Numbers: [2625]
2625,32 unequal: No Solution
Exploring Operation: 35+75=110, Resulting Numbers: [110]
110,32 unequal: No Solution
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,32 unequal: No Solution
No 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: 32:[93, 17], Operations: ['87-69=18', '35-18=17']
Exploring Operation: 93*17=1581, Resulting Numbers: [1581]
1581,32 unequal: No Solution
Exploring Operation: 93+17=110, Resulting Numbers: [110]
110,32 unequal: No Solution
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,32 unequal: No Solution
No 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: 32:[35, 111], Operations: ['87-69=18', '93+18=111']
Exploring Operation: 111-35=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 35*111=3885, Resulting Numbers: [3885]
3885,32 unequal: No Solution
Exploring Operation: 35+111=146, Resulting Numbers: [146]
146,32 unequal: No Solution
No 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: 32:[93, 53], Operations: ['87-69=18', '35+18=53']
Exploring Operation: 93*53=4929, Resulting Numbers: [4929]
4929,32 unequal: No Solution
Exploring Operation: 93-53=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 93+53=146, Resulting Numbers: [146]
146,32 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: 32:[87, 35, 24], Operations: ['93-69=24']
Exploring Operation: 35+24=59, Resulting Numbers: [87, 59]
Generated Node #0,4,0: 32:[87, 59] Operation: 35+24=59
Exploring Operation: 35-24=11, Resulting Numbers: [87, 11]
Generated Node #0,4,1: 32:[87, 11] Operation: 35-24=11
Exploring Operation: 87-24=63, Resulting Numbers: [35, 63]
Generated Node #0,4,2: 32:[35, 63] Operation: 87-24=63
Exploring Operation: 87+24=111, Resulting Numbers: [35, 111]
Generated Node #0,4,3: 32:[35, 111] Operation: 87+24=111
Exploring Operation: 87-35=52, Resulting Numbers: [24, 52]
Generated Node #0,4,4: 32:[24, 52] Operation: 87-35=52
Moving to Node #0,4,4
Current State: 32:[24, 52], Operations: ['93-69=24', '87-35=52']
Exploring Operation: 24+52=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 24*52=1248, Resulting Numbers: [1248]
1248,32 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Moving to Node #0,4,2
Current State: 32:[35, 63], Operations: ['93-69=24', '87-24=63']
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,32 unequal: No Solution
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,32 unequal: No Solution
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Moving to Node #0,4,1
Current State: 32:[87, 11], Operations: ['93-69=24', '35-24=11']
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,32 unequal: No Solution
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 87*11=957, Resulting Numbers: [957]
957,32 unequal: No Solution
Moving to Node #0,4,0
Current State: 32:[87, 59], Operations: ['93-69=24', '35+24=59']
Exploring Operation: 87*59=5133, Resulting Numbers: [5133]
5133,32 unequal: No Solution
Exploring Operation: 87-59=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 87+59=146, Resulting Numbers: [146]
146,32 unequal: No Solution
Moving to Node #0,4,3
Current State: 32:[35, 111], Operations: ['93-69=24', '87+24=111']
Exploring Operation: 35*111=3885, Resulting Numbers: [3885]
3885,32 unequal: No Solution
Exploring Operation: 35+111=146, Resulting Numbers: [146]
146,32 unequal: No Solution
Exploring Operation: 111-35=76, Resulting Numbers: [76]
76,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[69, 93, 52], Operations: ['87-35=52']
Exploring Operation: 93-69=24, Resulting Numbers: [52, 24]
Generated Node #0,0,0: 32:[52, 24] Operation: 93-69=24
Exploring Operation: 69-52=17, Resulting Numbers: [93, 17]
Generated Node #0,0,1: 32:[93, 17] Operation: 69-52=17
Exploring Operation: 69+93=162, Resulting Numbers: [52, 162]
Generated Node #0,0,2: 32:[52, 162] Operation: 69+93=162
Exploring Operation: 93-52=41, Resulting Numbers: [69, 41]
Generated Node #0,0,3: 32:[69, 41] Operation: 93-52=41
Exploring Operation: 69+52=121, Resulting Numbers: [93, 121]
Generated Node #0,0,4: 32:[93, 121] Operation: 69+52=121
Moving to Node #0,0,0
Current State: 32:[52, 24], Operations: ['87-35=52', '93-69=24']
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,32 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Moving to Node #0,0,3
Current State: 32:[69, 41], Operations: ['87-35=52', '93-52=41']
Exploring Operation: 69+41=110, Resulting Numbers: [110]
110,32 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 69*41=2829, Resulting Numbers: [2829]
2829,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[93, 17], Operations: ['87-35=52', '69-52=17']
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 93*17=1581, Resulting Numbers: [1581]
1581,32 unequal: No Solution
Exploring Operation: 93+17=110, Resulting Numbers: [110]
110,32 unequal: No Solution
Moving to Node #0,0,2
Current State: 32:[52, 162], Operations: ['87-35=52', '69+93=162']
Exploring Operation: 162-52=110, Resulting Numbers: [110]
110,32 unequal: No Solution
Exploring Operation: 52+162=214, Resulting Numbers: [214]
214,32 unequal: No Solution
Exploring Operation: 52*162=8424, Resulting Numbers: [8424]
8424,32 unequal: No Solution
Moving to Node #0,0,4
Current State: 32:[93, 121], Operations: ['87-35=52', '69+52=121']
Exploring Operation: 121-93=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 93*121=11253, Resulting Numbers: [11253]
11253,32 unequal: No Solution
Exploring Operation: 93+121=214, Resulting Numbers: [214]
214,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 32:[87, 93, 34], Operations: ['69-35=34']
Exploring Operation: 93-87=6, Resulting Numbers: [34, 6]
Generated Node #0,3,0: 32:[34, 6] Operation: 93-87=6
Exploring Operation: 87-34=53, Resulting Numbers: [93, 53]
Generated Node #0,3,1: 32:[93, 53] Operation: 87-34=53
Exploring Operation: 87+93=180, Resulting Numbers: [34, 180]
Generated Node #0,3,2: 32:[34, 180] Operation: 87+93=180
Exploring Operation: 93-34=59, Resulting Numbers: [87, 59]
Generated Node #0,3,3: 32:[87, 59] Operation: 93-34=59
Exploring Operation: 87+34=121, Resulting Numbers: [93, 121]
Generated Node #0,3,4: 32:[93, 121] Operation: 87+34=121
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 32:[34, 6], Operations: ['69-35=34', '93-87=6']
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,32 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,32 unequal: No Solution
No 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: 32:[93, 53], Operations: ['69-35=34', '87-34=53']
Exploring Operation: 93+53=146, Resulting Numbers: [146]
146,32 unequal: No Solution
Exploring Operation: 93-53=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 93*53=4929, Resulting Numbers: [4929]
4929,32 unequal: No Solution
No 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: 32:[87, 59], Operations: ['69-35=34', '93-34=59']
Exploring Operation: 87+59=146, Resulting Numbers: [146]
146,32 unequal: No Solution
Exploring Operation: 87*59=5133, Resulting Numbers: [5133]
5133,32 unequal: No Solution
Exploring Operation: 87-59=28, Resulting Numbers: [28]
28,32 unequal: No Solution
No 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: 32:[34, 180], Operations: ['69-35=34', '87+93=180']
Exploring Operation: 34+180=214, Resulting Numbers: [214]
214,32 unequal: No Solution
Exploring Operation: 180-34=146, Resulting Numbers: [146]
146,32 unequal: No Solution
Exploring Operation: 34*180=6120, Resulting Numbers: [6120]
6120,32 unequal: No Solution
No 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: 32:[93, 121], Operations: ['69-35=34', '87+34=121']
Exploring Operation: 93+121=214, Resulting Numbers: [214]
214,32 unequal: No Solution
Exploring Operation: 93*121=11253, Resulting Numbers: [11253]
11253,32 unequal: No Solution
Exploring Operation: 121-93=28, Resulting Numbers: [28]
28,32 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
|
[
77,
9,
68,
22
] | 22 |
[
"77-9=68",
"68+22=90",
"90-68=22"
] |
Current State: 22:[77, 9, 68, 22], Operations: []
Exploring Operation: 77-9=68, Resulting Numbers: [68, 22, 68]
Generated Node #2: [68, 22, 68] from Operation: 77-9=68
Current State: 22:[68, 22, 68], Operations: ['77-9=68']
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,22 equal: Goal Reached
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[77, 9, 68, 22], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [9, 68, 55]
Generated Node #0,0: 22:[9, 68, 55] Operation: 77-22=55
Exploring Operation: 77-68=9, Resulting Numbers: [9, 22, 9]
Generated Node #0,1: 22:[9, 22, 9] Operation: 77-68=9
Exploring Operation: 68-9=59, Resulting Numbers: [77, 22, 59]
Generated Node #0,2: 22:[77, 22, 59] Operation: 68-9=59
Exploring Operation: 68-22=46, Resulting Numbers: [77, 9, 46]
Generated Node #0,3: 22:[77, 9, 46] Operation: 68-22=46
Exploring Operation: 77-9=68, Resulting Numbers: [68, 22, 68]
Generated Node #0,4: 22:[68, 22, 68] Operation: 77-9=68
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[9, 22, 9], Operations: ['77-68=9']
Exploring Operation: 9+9=18, Resulting Numbers: [22, 18]
Generated Node #0,1,0: 22:[22, 18] Operation: 9+9=18
Exploring Operation: 9-9=0, Resulting Numbers: [22, 0]
Generated Node #0,1,1: 22:[22, 0] Operation: 9-9=0
Exploring Operation: 22-9=13, Resulting Numbers: [9, 13]
Generated Node #0,1,2: 22:[9, 13] Operation: 22-9=13
Exploring Operation: 22-9=13, Resulting Numbers: [9, 13]
Generated Node #0,1,3: 22:[9, 13] Operation: 22-9=13
Exploring Operation: 9/9=1, Resulting Numbers: [22, 1]
Generated Node #0,1,4: 22:[22, 1] Operation: 9/9=1
Moving to Node #0,1,4
Current State: 22:[22, 1], Operations: ['77-68=9', '9/9=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[77, 9, 68, 22], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [9, 22, 9]
Generated Node #0,1: 22:[9, 22, 9] Operation: 77-68=9
Moving to Node #0,1
Current State: 22:[9, 22, 9], Operations: ['77-68=9']
Exploring Operation: 9/9=1, Resulting Numbers: [22, 1]
Generated Node #0,1,4: 22:[22, 1] Operation: 9/9=1
Moving to Node #0,1,4
Current State: 22:[22, 1], Operations: ['77-68=9', '9/9=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
sum_heuristic
|
[
77,
10,
40,
67
] | 40 |
[
"77-10=67",
"40+67=107",
"107-67=40"
] |
Current State: 40:[77, 10, 40, 67], Operations: []
Exploring Operation: 77-10=67, Resulting Numbers: [40, 67, 67]
Generated Node #2: [40, 67, 67] from Operation: 77-10=67
Current State: 40:[40, 67, 67], Operations: ['77-10=67']
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,40 equal: Goal Reached
Exploring Operation: 107-67=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
Current State: 40:[77, 10, 40, 67], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [10, 40, 10]
Generated Node #0,0: 40:[10, 40, 10] Operation: 77-67=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[10, 40, 10], Operations: ['77-67=10']
Exploring Operation: 40/10=4, Resulting Numbers: [10, 4]
Generated Node #0,0,0: 40:[10, 4] Operation: 40/10=4
Moving to Node #0,0,0
Current State: 40:[10, 4], Operations: ['77-67=10', '40/10=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[77, 10, 40, 67], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [10, 40, 10]
Generated Node #0,0: 40:[10, 40, 10] Operation: 77-67=10
Moving to Node #0,0
Current State: 40:[10, 40, 10], Operations: ['77-67=10']
Exploring Operation: 40/10=4, Resulting Numbers: [10, 4]
Generated Node #0,0,0: 40:[10, 4] Operation: 40/10=4
Moving to Node #0,0,0
Current State: 40:[10, 4], Operations: ['77-67=10', '40/10=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
59,
82,
14,
58
] | 95 |
[
"82-59=23",
"14+58=72",
"23+72=95"
] |
Current State: 95:[59, 82, 14, 58], Operations: []
Exploring Operation: 82-59=23, Resulting Numbers: [14, 58, 23]
Generated Node #2: [14, 58, 23] from Operation: 82-59=23
Current State: 95:[14, 58, 23], Operations: ['82-59=23']
Exploring Operation: 14+58=72, Resulting Numbers: [23, 72]
Generated Node #3: [23, 72] from Operation: 14+58=72
Current State: 95:[23, 72], Operations: ['82-59=23', '14+58=72']
Exploring Operation: 23+72=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[59, 82, 14, 58], Operations: []
Exploring Operation: 59+58=117, Resulting Numbers: [82, 14, 117]
Generated Node #0,0: 95:[82, 14, 117] Operation: 59+58=117
Exploring Operation: 59-58=1, Resulting Numbers: [82, 14, 1]
Generated Node #0,1: 95:[82, 14, 1] Operation: 59-58=1
Moving to Node #0,1
Current State: 95:[82, 14, 1], Operations: ['59-58=1']
Exploring Operation: 82+14=96, Resulting Numbers: [1, 96]
Generated Node #0,1,0: 95:[1, 96] Operation: 82+14=96
Exploring Operation: 82+1=83, Resulting Numbers: [14, 83]
Generated Node #0,1,1: 95:[14, 83] Operation: 82+1=83
Moving to Node #0,0
Current State: 95:[82, 14, 117], Operations: ['59+58=117']
Exploring Operation: 117-82=35, Resulting Numbers: [14, 35]
Generated Node #0,0,0: 95:[14, 35] Operation: 117-82=35
Exploring Operation: 117-14=103, Resulting Numbers: [82, 103]
Generated Node #0,0,1: 95:[82, 103] Operation: 117-14=103
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[14, 35], Operations: ['59+58=117', '117-82=35']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[82, 103], Operations: ['59+58=117', '117-14=103']
Exploring Operation: 103-82=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 82+103=185, Resulting Numbers: [185]
185,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 95:[1, 96], Operations: ['59-58=1', '82+14=96']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[59, 82, 14, 58], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [82, 14, 1]
Generated Node #0,1: 95:[82, 14, 1] Operation: 59-58=1
Moving to Node #0,1
Current State: 95:[82, 14, 1], Operations: ['59-58=1']
Exploring Operation: 82+14=96, Resulting Numbers: [1, 96]
Generated Node #0,1,0: 95:[1, 96] Operation: 82+14=96
Moving to Node #0,1,0
Current State: 95:[1, 96], Operations: ['59-58=1', '82+14=96']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.986979 |
hs_2
|
mult_heuristic
|
[
8,
11,
88,
5
] | 55 |
[
"8+5=13",
"11*13=143",
"143-88=55"
] |
Current State: 55:[8, 11, 88, 5], Operations: []
Exploring Operation: 8+5=13, Resulting Numbers: [11, 88, 13]
Generated Node #2: [11, 88, 13] from Operation: 8+5=13
Current State: 55:[11, 88, 13], Operations: ['8+5=13']
Exploring Operation: 11*13=143, Resulting Numbers: [88, 143]
Generated Node #3: [88, 143] from Operation: 11*13=143
Current State: 55:[88, 143], Operations: ['8+5=13', '11*13=143']
Exploring Operation: 143-88=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
Current State: 55:[8, 11, 88, 5], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [11, 5, 11]
Generated Node #0,0: 55:[11, 5, 11] Operation: 88/8=11
Exploring Operation: 88/11=8, Resulting Numbers: [8, 5, 8]
Generated Node #0,1: 55:[8, 5, 8] Operation: 88/11=8
Exploring Operation: 88-5=83, Resulting Numbers: [8, 11, 83]
Generated Node #0,2: 55:[8, 11, 83] Operation: 88-5=83
Exploring Operation: 88-11=77, Resulting Numbers: [8, 5, 77]
Generated Node #0,3: 55:[8, 5, 77] Operation: 88-11=77
Exploring Operation: 88-8=80, Resulting Numbers: [11, 5, 80]
Generated Node #0,4: 55:[11, 5, 80] Operation: 88-8=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[11, 5, 11], Operations: ['88/8=11']
Exploring Operation: 5*11=55, Resulting Numbers: [11, 55]
Generated Node #0,0,0: 55:[11, 55] Operation: 5*11=55
Exploring Operation: 11*5=55, Resulting Numbers: [11, 55]
Generated Node #0,0,1: 55:[11, 55] Operation: 11*5=55
Exploring Operation: 11-5=6, Resulting Numbers: [11, 6]
Generated Node #0,0,2: 55:[11, 6] Operation: 11-5=6
Exploring Operation: 11-5=6, Resulting Numbers: [11, 6]
Generated Node #0,0,3: 55:[11, 6] Operation: 11-5=6
Exploring Operation: 11/11=1, Resulting Numbers: [5, 1]
Generated Node #0,0,4: 55:[5, 1] Operation: 11/11=1
Moving to Node #0,0,0
Current State: 55:[11, 55], Operations: ['88/8=11', '5*11=55']
Exploring Operation: 11*55=605, Resulting Numbers: [605]
605,55 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,55 unequal: No Solution
Exploring Operation: 11+55=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[11, 55], Operations: ['88/8=11', '11*5=55']
Exploring Operation: 11*55=605, Resulting Numbers: [605]
605,55 unequal: No Solution
Exploring Operation: 11+55=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,55 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[11, 6], Operations: ['88/8=11', '11-5=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[11, 6], Operations: ['88/8=11', '11-5=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Moving to Node #0,0,4
Current State: 55:[5, 1], Operations: ['88/8=11', '11/11=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[8, 5, 8], Operations: ['88/11=8']
Exploring Operation: 8-8=0, Resulting Numbers: [5, 0]
Generated Node #0,1,0: 55:[5, 0] Operation: 8-8=0
Exploring Operation: 8+8=16, Resulting Numbers: [5, 16]
Generated Node #0,1,1: 55:[5, 16] Operation: 8+8=16
Exploring Operation: 8-5=3, Resulting Numbers: [8, 3]
Generated Node #0,1,2: 55:[8, 3] Operation: 8-5=3
Exploring Operation: 8+5=13, Resulting Numbers: [8, 13]
Generated Node #0,1,3: 55:[8, 13] Operation: 8+5=13
Exploring Operation: 8/8=1, Resulting Numbers: [5, 1]
Generated Node #0,1,4: 55:[5, 1] Operation: 8/8=1
Moving to Node #0,1,4
Current State: 55:[5, 1], Operations: ['88/11=8', '8/8=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[5, 16], Operations: ['88/11=8', '8+8=16']
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[8, 13], Operations: ['88/11=8', '8+5=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[5, 0], Operations: ['88/11=8', '8-8=0']
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 5*0=0, Resulting Numbers: [0]
0,55 unequal: No Solution
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[8, 3], Operations: ['88/11=8', '8-5=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,55 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,55 unequal: No Solution
No 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:[8, 5, 77], Operations: ['88-11=77']
Exploring Operation: 8+77=85, Resulting Numbers: [5, 85]
Generated Node #0,3,0: 55:[5, 85] Operation: 8+77=85
Exploring Operation: 8+5=13, Resulting Numbers: [77, 13]
Generated Node #0,3,1: 55:[77, 13] Operation: 8+5=13
Exploring Operation: 77-5=72, Resulting Numbers: [8, 72]
Generated Node #0,3,2: 55:[8, 72] Operation: 77-5=72
Exploring Operation: 8-5=3, Resulting Numbers: [77, 3]
Generated Node #0,3,3: 55:[77, 3] Operation: 8-5=3
Exploring Operation: 77-8=69, Resulting Numbers: [5, 69]
Generated Node #0,3,4: 55:[5, 69] Operation: 77-8=69
Moving to Node #0,3,4
Current State: 55:[5, 69], Operations: ['88-11=77', '77-8=69']
Exploring Operation: 5+69=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 5*69=345, Resulting Numbers: [345]
345,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[8, 72], Operations: ['88-11=77', '77-5=72']
Exploring Operation: 8+72=80, Resulting Numbers: [80]
80,55 unequal: No Solution
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 8*72=576, Resulting Numbers: [576]
576,55 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[77, 13], Operations: ['88-11=77', '8+5=13']
Exploring Operation: 77*13=1001, Resulting Numbers: [1001]
1001,55 unequal: No Solution
Exploring Operation: 77-13=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 77+13=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[77, 3], Operations: ['88-11=77', '8-5=3']
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,55 unequal: No Solution
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,55 unequal: No Solution
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[5, 85], Operations: ['88-11=77', '8+77=85']
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,55 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,55 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,55 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 #0,4
Current State: 55:[11, 5, 80], Operations: ['88-8=80']
Exploring Operation: 80-11=69, Resulting Numbers: [5, 69]
Generated Node #0,4,0: 55:[5, 69] Operation: 80-11=69
Exploring Operation: 80-5=75, Resulting Numbers: [11, 75]
Generated Node #0,4,1: 55:[11, 75] Operation: 80-5=75
Exploring Operation: 11-5=6, Resulting Numbers: [80, 6]
Generated Node #0,4,2: 55:[80, 6] Operation: 11-5=6
Exploring Operation: 11*5=55, Resulting Numbers: [80, 55]
Generated Node #0,4,3: 55:[80, 55] Operation: 11*5=55
Exploring Operation: 80/5=16, Resulting Numbers: [11, 16]
Generated Node #0,4,4: 55:[11, 16] Operation: 80/5=16
Moving to Node #0,4,4
Current State: 55:[11, 16], Operations: ['88-8=80', '80/5=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,55 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Moving to Node #0,4,0
Current State: 55:[5, 69], Operations: ['88-8=80', '80-11=69']
Exploring Operation: 5*69=345, Resulting Numbers: [345]
345,55 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 5+69=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Moving to Node #0,4,1
Current State: 55:[11, 75], Operations: ['88-8=80', '80-5=75']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 11*75=825, Resulting Numbers: [825]
825,55 unequal: No Solution
Exploring Operation: 11+75=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Moving to Node #0,4,3
Current State: 55:[80, 55], Operations: ['88-8=80', '11*5=55']
Exploring Operation: 80+55=135, Resulting Numbers: [135]
135,55 unequal: No Solution
Exploring Operation: 80*55=4400, Resulting Numbers: [4400]
4400,55 unequal: No Solution
Exploring Operation: 80-55=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Moving to Node #0,4,2
Current State: 55:[80, 6], Operations: ['88-8=80', '11-5=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,55 unequal: No Solution
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Exploring Operation: 80*6=480, Resulting Numbers: [480]
480,55 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:[8, 11, 83], Operations: ['88-5=83']
Exploring Operation: 11-8=3, Resulting Numbers: [83, 3]
Generated Node #0,2,0: 55:[83, 3] Operation: 11-8=3
Exploring Operation: 83-11=72, Resulting Numbers: [8, 72]
Generated Node #0,2,1: 55:[8, 72] Operation: 83-11=72
Exploring Operation: 8+83=91, Resulting Numbers: [11, 91]
Generated Node #0,2,2: 55:[11, 91] Operation: 8+83=91
Exploring Operation: 8+11=19, Resulting Numbers: [83, 19]
Generated Node #0,2,3: 55:[83, 19] Operation: 8+11=19
Exploring Operation: 83-8=75, Resulting Numbers: [11, 75]
Generated Node #0,2,4: 55:[11, 75] Operation: 83-8=75
Moving to Node #0,2,1
Current State: 55:[8, 72], Operations: ['88-5=83', '83-11=72']
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 8+72=80, Resulting Numbers: [80]
80,55 unequal: No Solution
Exploring Operation: 8*72=576, Resulting Numbers: [576]
576,55 unequal: No Solution
Moving to Node #0,2,4
Current State: 55:[11, 75], Operations: ['88-5=83', '83-8=75']
Exploring Operation: 11*75=825, Resulting Numbers: [825]
825,55 unequal: No Solution
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 11+75=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[83, 3], Operations: ['88-5=83', '11-8=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,55 unequal: No Solution
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Exploring Operation: 83*3=249, Resulting Numbers: [249]
249,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[11, 91], Operations: ['88-5=83', '8+83=91']
Exploring Operation: 11*91=1001, Resulting Numbers: [1001]
1001,55 unequal: No Solution
Exploring Operation: 91-11=80, Resulting Numbers: [80]
80,55 unequal: No Solution
Exploring Operation: 11+91=102, Resulting Numbers: [102]
102,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[83, 19], Operations: ['88-5=83', '8+11=19']
Exploring Operation: 83+19=102, Resulting Numbers: [102]
102,55 unequal: No Solution
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 83*19=1577, Resulting Numbers: [1577]
1577,55 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
|
[
30,
13,
23,
38
] | 35 |
[
"23-13=10",
"30/10=3",
"38-3=35"
] |
Current State: 35:[30, 13, 23, 38], Operations: []
Exploring Operation: 23-13=10, Resulting Numbers: [30, 38, 10]
Generated Node #2: [30, 38, 10] from Operation: 23-13=10
Current State: 35:[30, 38, 10], Operations: ['23-13=10']
Exploring Operation: 30/10=3, Resulting Numbers: [38, 3]
Generated Node #3: [38, 3] from Operation: 30/10=3
Current State: 35:[38, 3], Operations: ['23-13=10', '30/10=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[30, 13, 23, 38], Operations: []
Exploring Operation: 30-23=7, Resulting Numbers: [13, 38, 7]
Generated Node #0,0: 35:[13, 38, 7] Operation: 30-23=7
Exploring Operation: 38-30=8, Resulting Numbers: [13, 23, 8]
Generated Node #0,1: 35:[13, 23, 8] Operation: 38-30=8
Exploring Operation: 13+23=36, Resulting Numbers: [30, 38, 36]
Generated Node #0,2: 35:[30, 38, 36] Operation: 13+23=36
Exploring Operation: 23-13=10, Resulting Numbers: [30, 38, 10]
Generated Node #0,3: 35:[30, 38, 10] Operation: 23-13=10
Moving to Node #0,0
Current State: 35:[13, 38, 7], Operations: ['30-23=7']
Exploring Operation: 38-13=25, Resulting Numbers: [7, 25]
Generated Node #0,0,0: 35:[7, 25] Operation: 38-13=25
Exploring Operation: 13-7=6, Resulting Numbers: [38, 6]
Generated Node #0,0,1: 35:[38, 6] Operation: 13-7=6
Exploring Operation: 38-7=31, Resulting Numbers: [13, 31]
Generated Node #0,0,2: 35:[13, 31] Operation: 38-7=31
Exploring Operation: 13+38=51, Resulting Numbers: [7, 51]
Generated Node #0,0,3: 35:[7, 51] Operation: 13+38=51
Moving to Node #0,2
Current State: 35:[30, 38, 36], Operations: ['13+23=36']
Exploring Operation: 36-30=6, Resulting Numbers: [38, 6]
Generated Node #0,2,0: 35:[38, 6] Operation: 36-30=6
Exploring Operation: 38-30=8, Resulting Numbers: [36, 8]
Generated Node #0,2,1: 35:[36, 8] Operation: 38-30=8
Exploring Operation: 30+38=68, Resulting Numbers: [36, 68]
Generated Node #0,2,2: 35:[36, 68] Operation: 30+38=68
Exploring Operation: 38-36=2, Resulting Numbers: [30, 2]
Generated Node #0,2,3: 35:[30, 2] Operation: 38-36=2
Moving to Node #0,3
Current State: 35:[30, 38, 10], Operations: ['23-13=10']
Exploring Operation: 30/10=3, Resulting Numbers: [38, 3]
Generated Node #0,3,0: 35:[38, 3] Operation: 30/10=3
Exploring Operation: 38-30=8, Resulting Numbers: [10, 8]
Generated Node #0,3,1: 35:[10, 8] Operation: 38-30=8
Exploring Operation: 30+10=40, Resulting Numbers: [38, 40]
Generated Node #0,3,2: 35:[38, 40] Operation: 30+10=40
Exploring Operation: 38-10=28, Resulting Numbers: [30, 28]
Generated Node #0,3,3: 35:[30, 28] Operation: 38-10=28
Moving to Node #0,1
Current State: 35:[13, 23, 8], Operations: ['38-30=8']
Exploring Operation: 23-13=10, Resulting Numbers: [8, 10]
Generated Node #0,1,0: 35:[8, 10] Operation: 23-13=10
Exploring Operation: 13-8=5, Resulting Numbers: [23, 5]
Generated Node #0,1,1: 35:[23, 5] Operation: 13-8=5
Exploring Operation: 13+23=36, Resulting Numbers: [8, 36]
Generated Node #0,1,2: 35:[8, 36] Operation: 13+23=36
Exploring Operation: 23+8=31, Resulting Numbers: [13, 31]
Generated Node #0,1,3: 35:[13, 31] Operation: 23+8=31
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[8, 36], Operations: ['38-30=8', '13+23=36']
Exploring Operation: 8+36=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 8*36=288, Resulting Numbers: [288]
288,35 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,35 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 #0,1,0
Current State: 35:[8, 10], Operations: ['38-30=8', '23-13=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,35 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,35 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 #0,1,3
Current State: 35:[13, 31], Operations: ['38-30=8', '23+8=31']
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,35 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,35 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 #0,1,1
Current State: 35:[23, 5], Operations: ['38-30=8', '13-8=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,35 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,35 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: 35:[36, 8], Operations: ['13+23=36', '38-30=8']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[38, 6], Operations: ['13+23=36', '36-30=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[38, 6], Operations: ['30-23=7', '13-7=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,35 unequal: No Solution
Moving to Node #0,3,1
Current State: 35:[10, 8], Operations: ['23-13=10', '38-30=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,35 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Moving to Node #0,3,0
Current State: 35:[38, 3], Operations: ['23-13=10', '30/10=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,35 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[30, 13, 23, 38], Operations: []
Exploring Operation: 23-13=10, Resulting Numbers: [30, 38, 10]
Generated Node #0,3: 35:[30, 38, 10] Operation: 23-13=10
Moving to Node #0,3
Current State: 35:[30, 38, 10], Operations: ['23-13=10']
Exploring Operation: 30/10=3, Resulting Numbers: [38, 3]
Generated Node #0,3,0: 35:[38, 3] Operation: 30/10=3
Moving to Node #0,3,0
Current State: 35:[38, 3], Operations: ['23-13=10', '30/10=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.955729 |
hs_4
|
sum_heuristic
|
[
94,
46,
73,
23
] | 90 |
[
"94+46=140",
"73-23=50",
"140-50=90"
] |
Current State: 90:[94, 46, 73, 23], Operations: []
Exploring Operation: 94+46=140, Resulting Numbers: [73, 23, 140]
Generated Node #2: [73, 23, 140] from Operation: 94+46=140
Current State: 90:[73, 23, 140], Operations: ['94+46=140']
Exploring Operation: 73-23=50, Resulting Numbers: [140, 50]
Generated Node #3: [140, 50] from Operation: 73-23=50
Current State: 90:[140, 50], Operations: ['94+46=140', '73-23=50']
Exploring Operation: 140-50=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[94, 46, 73, 23], Operations: []
Exploring Operation: 94-73=21, Resulting Numbers: [46, 23, 21]
Generated Node #0,0: 90:[46, 23, 21] Operation: 94-73=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[46, 23, 21], Operations: ['94-73=21']
Exploring Operation: 23-21=2, Resulting Numbers: [46, 2]
Generated Node #0,0,0: 90:[46, 2] Operation: 23-21=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[46, 2], Operations: ['94-73=21', '23-21=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,90 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
|
[
37,
2,
53,
1
] | 48 |
[
"53-37=16",
"2+1=3",
"16*3=48"
] |
Current State: 48:[37, 2, 53, 1], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [2, 1, 16]
Generated Node #2: [2, 1, 16] from Operation: 53-37=16
Current State: 48:[2, 1, 16], Operations: ['53-37=16']
Exploring Operation: 2+1=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 2+1=3
Current State: 48:[16, 3], Operations: ['53-37=16', '2+1=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
Current State: 48:[37, 2, 53, 1], Operations: []
Exploring Operation: 37+1=38, Resulting Numbers: [2, 53, 38]
Generated Node #0,0: 48:[2, 53, 38] Operation: 37+1=38
Exploring Operation: 53-37=16, Resulting Numbers: [2, 1, 16]
Generated Node #0,1: 48:[2, 1, 16] Operation: 53-37=16
Exploring Operation: 37+2=39, Resulting Numbers: [53, 1, 39]
Generated Node #0,2: 48:[53, 1, 39] Operation: 37+2=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[2, 1, 16], Operations: ['53-37=16']
Exploring Operation: 2/1=2, Resulting Numbers: [16, 2]
Generated Node #0,1,0: 48:[16, 2] Operation: 2/1=2
Exploring Operation: 2*1=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 48:[16, 2] Operation: 2*1=2
Exploring Operation: 2+1=3, Resulting Numbers: [16, 3]
Generated Node #0,1,2: 48:[16, 3] Operation: 2+1=3
Moving to Node #0,1,0
Current State: 48:[16, 2], Operations: ['53-37=16', '2/1=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[16, 2], Operations: ['53-37=16', '2*1=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[16, 3], Operations: ['53-37=16', '2+1=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[37, 2, 53, 1], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [2, 1, 16]
Generated Node #0,1: 48:[2, 1, 16] Operation: 53-37=16
Moving to Node #0,1
Current State: 48:[2, 1, 16], Operations: ['53-37=16']
Exploring Operation: 2+1=3, Resulting Numbers: [16, 3]
Generated Node #0,1,2: 48:[16, 3] Operation: 2+1=3
Moving to Node #0,1,2
Current State: 48:[16, 3], Operations: ['53-37=16', '2+1=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_3
|
mult_heuristic
|
[
12,
96,
44,
94
] | 42 |
[
"96/12=8",
"94-44=50",
"50-8=42"
] |
Current State: 42:[12, 96, 44, 94], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [44, 94, 8]
Generated Node #2: [44, 94, 8] from Operation: 96/12=8
Current State: 42:[44, 94, 8], Operations: ['96/12=8']
Exploring Operation: 94-44=50, Resulting Numbers: [8, 50]
Generated Node #3: [8, 50] from Operation: 94-44=50
Current State: 42:[8, 50], Operations: ['96/12=8', '94-44=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
Current State: 42:[12, 96, 44, 94], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [44, 94, 8]
Generated Node #0,0: 42:[44, 94, 8] Operation: 96/12=8
Exploring Operation: 96-94=2, Resulting Numbers: [12, 44, 2]
Generated Node #0,1: 42:[12, 44, 2] Operation: 96-94=2
Moving to Node #0,1
Current State: 42:[12, 44, 2], Operations: ['96-94=2']
Exploring Operation: 12/2=6, Resulting Numbers: [44, 6]
Generated Node #0,1,0: 42:[44, 6] Operation: 12/2=6
Exploring Operation: 12+2=14, Resulting Numbers: [44, 14]
Generated Node #0,1,1: 42:[44, 14] Operation: 12+2=14
Moving to Node #0,0
Current State: 42:[44, 94, 8], Operations: ['96/12=8']
Exploring Operation: 94-44=50, Resulting Numbers: [8, 50]
Generated Node #0,0,0: 42:[8, 50] Operation: 94-44=50
Exploring Operation: 94-8=86, Resulting Numbers: [44, 86]
Generated Node #0,0,1: 42:[44, 86] Operation: 94-8=86
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[8, 50], Operations: ['96/12=8', '94-44=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[12, 96, 44, 94], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [44, 94, 8]
Generated Node #0,0: 42:[44, 94, 8] Operation: 96/12=8
Moving to Node #0,0
Current State: 42:[44, 94, 8], Operations: ['96/12=8']
Exploring Operation: 94-44=50, Resulting Numbers: [8, 50]
Generated Node #0,0,0: 42:[8, 50] Operation: 94-44=50
Moving to Node #0,0,0
Current State: 42:[8, 50], Operations: ['96/12=8', '94-44=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_2
|
sum_heuristic
|
[
20,
24,
1,
18
] | 24 |
[
"20-1=19",
"19-18=1",
"24*1=24"
] |
Current State: 24:[20, 24, 1, 18], Operations: []
Exploring Operation: 20-1=19, Resulting Numbers: [24, 18, 19]
Generated Node #2: [24, 18, 19] from Operation: 20-1=19
Current State: 24:[24, 18, 19], Operations: ['20-1=19']
Exploring Operation: 19-18=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 19-18=1
Current State: 24:[24, 1], Operations: ['20-1=19', '19-18=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[20, 24, 1, 18], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [24, 1, 2]
Generated Node #0,0: 24:[24, 1, 2] Operation: 20-18=2
Exploring Operation: 24-18=6, Resulting Numbers: [20, 1, 6]
Generated Node #0,1: 24:[20, 1, 6] Operation: 24-18=6
Exploring Operation: 24-20=4, Resulting Numbers: [1, 18, 4]
Generated Node #0,2: 24:[1, 18, 4] Operation: 24-20=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[24, 1, 2], Operations: ['20-18=2']
Exploring Operation: 24/1=24, Resulting Numbers: [2, 24]
Generated Node #0,0,0: 24:[2, 24] Operation: 24/1=24
Exploring Operation: 1+2=3, Resulting Numbers: [24, 3]
Generated Node #0,0,1: 24:[24, 3] Operation: 1+2=3
Exploring Operation: 24*1=24, Resulting Numbers: [2, 24]
Generated Node #0,0,2: 24:[2, 24] Operation: 24*1=24
Moving to Node #0,0,0
Current State: 24:[2, 24], Operations: ['20-18=2', '24/1=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,24 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[24, 3], Operations: ['20-18=2', '1+2=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[2, 24], Operations: ['20-18=2', '24*1=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[20, 1, 6], Operations: ['24-18=6']
Exploring Operation: 20-6=14, Resulting Numbers: [1, 14]
Generated Node #0,1,0: 24:[1, 14] Operation: 20-6=14
Exploring Operation: 20+6=26, Resulting Numbers: [1, 26]
Generated Node #0,1,1: 24:[1, 26] Operation: 20+6=26
Exploring Operation: 20+1=21, Resulting Numbers: [6, 21]
Generated Node #0,1,2: 24:[6, 21] Operation: 20+1=21
Moving to Node #0,1,0
Current State: 24:[1, 14], Operations: ['24-18=6', '20-6=14']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[1, 26], Operations: ['24-18=6', '20+6=26']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,24 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[6, 21], Operations: ['24-18=6', '20+1=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,24 unequal: No Solution
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,24 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[1, 18, 4], Operations: ['24-20=4']
Exploring Operation: 18-4=14, Resulting Numbers: [1, 14]
Generated Node #0,2,0: 24:[1, 14] Operation: 18-4=14
Exploring Operation: 1+18=19, Resulting Numbers: [4, 19]
Generated Node #0,2,1: 24:[4, 19] Operation: 1+18=19
Exploring Operation: 18+4=22, Resulting Numbers: [1, 22]
Generated Node #0,2,2: 24:[1, 22] Operation: 18+4=22
Moving to Node #0,2,0
Current State: 24:[1, 14], Operations: ['24-20=4', '18-4=14']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[1, 22], Operations: ['24-20=4', '18+4=22']
Exploring Operation: 1+22=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[4, 19], Operations: ['24-20=4', '1+18=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,24 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
|
[
50,
10,
47,
79
] | 27 |
[
"50/10=5",
"79-47=32",
"32-5=27"
] |
Current State: 27:[50, 10, 47, 79], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [47, 79, 5]
Generated Node #2: [47, 79, 5] from Operation: 50/10=5
Current State: 27:[47, 79, 5], Operations: ['50/10=5']
Exploring Operation: 79-47=32, Resulting Numbers: [5, 32]
Generated Node #3: [5, 32] from Operation: 79-47=32
Current State: 27:[5, 32], Operations: ['50/10=5', '79-47=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
Current State: 27:[50, 10, 47, 79], Operations: []
Exploring Operation: 79-50=29, Resulting Numbers: [10, 47, 29]
Generated Node #0,0: 27:[10, 47, 29] Operation: 79-50=29
Exploring Operation: 79-47=32, Resulting Numbers: [50, 10, 32]
Generated Node #0,1: 27:[50, 10, 32] Operation: 79-47=32
Moving to Node #0,0
Current State: 27:[10, 47, 29], Operations: ['79-50=29']
Exploring Operation: 47-10=37, Resulting Numbers: [29, 37]
Generated Node #0,0,0: 27:[29, 37] Operation: 47-10=37
Exploring Operation: 47-29=18, Resulting Numbers: [10, 18]
Generated Node #0,0,1: 27:[10, 18] Operation: 47-29=18
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 27:[10, 18], Operations: ['79-50=29', '47-29=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,27 unequal: No Solution
No 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: 27:[29, 37], Operations: ['79-50=29', '47-10=37']
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,27 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: 27:[50, 10, 32], Operations: ['79-47=32']
Exploring Operation: 50-32=18, Resulting Numbers: [10, 18]
Generated Node #0,1,0: 27:[10, 18] Operation: 50-32=18
Exploring Operation: 50/10=5, Resulting Numbers: [32, 5]
Generated Node #0,1,1: 27:[32, 5] Operation: 50/10=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 27:[32, 5], Operations: ['79-47=32', '50/10=5']
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,27 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[50, 10, 47, 79], Operations: []
Exploring Operation: 79-47=32, Resulting Numbers: [50, 10, 32]
Generated Node #0,1: 27:[50, 10, 32] Operation: 79-47=32
Moving to Node #0,1
Current State: 27:[50, 10, 32], Operations: ['79-47=32']
Exploring Operation: 50/10=5, Resulting Numbers: [32, 5]
Generated Node #0,1,1: 27:[32, 5] Operation: 50/10=5
Moving to Node #0,1,1
Current State: 27:[32, 5], Operations: ['79-47=32', '50/10=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_2
|
sum_heuristic
|
[
56,
17,
4,
33
] | 10 |
[
"56+17=73",
"73-33=40",
"40/4=10"
] |
Current State: 10:[56, 17, 4, 33], Operations: []
Exploring Operation: 56+17=73, Resulting Numbers: [4, 33, 73]
Generated Node #2: [4, 33, 73] from Operation: 56+17=73
Current State: 10:[4, 33, 73], Operations: ['56+17=73']
Exploring Operation: 73-33=40, Resulting Numbers: [4, 40]
Generated Node #3: [4, 40] from Operation: 73-33=40
Current State: 10:[4, 40], Operations: ['56+17=73', '73-33=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
Current State: 10:[56, 17, 4, 33], Operations: []
Exploring Operation: 56-33=23, Resulting Numbers: [17, 4, 23]
Generated Node #0,0: 10:[17, 4, 23] Operation: 56-33=23
Exploring Operation: 56-17=39, Resulting Numbers: [4, 33, 39]
Generated Node #0,1: 10:[4, 33, 39] Operation: 56-17=39
Exploring Operation: 33-17=16, Resulting Numbers: [56, 4, 16]
Generated Node #0,2: 10:[56, 4, 16] Operation: 33-17=16
Exploring Operation: 56/4=14, Resulting Numbers: [17, 33, 14]
Generated Node #0,3: 10:[17, 33, 14] Operation: 56/4=14
Moving to Node #0,0
Current State: 10:[17, 4, 23], Operations: ['56-33=23']
Exploring Operation: 23-4=19, Resulting Numbers: [17, 19]
Generated Node #0,0,0: 10:[17, 19] Operation: 23-4=19
Exploring Operation: 17-4=13, Resulting Numbers: [23, 13]
Generated Node #0,0,1: 10:[23, 13] Operation: 17-4=13
Exploring Operation: 23-17=6, Resulting Numbers: [4, 6]
Generated Node #0,0,2: 10:[4, 6] Operation: 23-17=6
Exploring Operation: 17+4=21, Resulting Numbers: [23, 21]
Generated Node #0,0,3: 10:[23, 21] Operation: 17+4=21
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 10:[4, 6], Operations: ['56-33=23', '23-17=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,10 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[56, 17, 4, 33], Operations: []
Exploring Operation: 56-33=23, Resulting Numbers: [17, 4, 23]
Generated Node #0,0: 10:[17, 4, 23] Operation: 56-33=23
Moving to Node #0,0
Current State: 10:[17, 4, 23], Operations: ['56-33=23']
Exploring Operation: 23-17=6, Resulting Numbers: [4, 6]
Generated Node #0,0,2: 10:[4, 6] Operation: 23-17=6
Moving to Node #0,0,2
Current State: 10:[4, 6], Operations: ['56-33=23', '23-17=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
sum_heuristic
|
[
41,
94,
60,
38
] | 86 |
[
"41-38=3",
"60*3=180",
"180-94=86"
] |
Current State: 86:[41, 94, 60, 38], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [94, 60, 3]
Generated Node #2: [94, 60, 3] from Operation: 41-38=3
Current State: 86:[94, 60, 3], Operations: ['41-38=3']
Exploring Operation: 60*3=180, Resulting Numbers: [94, 180]
Generated Node #3: [94, 180] from Operation: 60*3=180
Current State: 86:[94, 180], Operations: ['41-38=3', '60*3=180']
Exploring Operation: 180-94=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[41, 94, 60, 38], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [94, 60, 3]
Generated Node #0,0: 86:[94, 60, 3] Operation: 41-38=3
Exploring Operation: 60+38=98, Resulting Numbers: [41, 94, 98]
Generated Node #0,1: 86:[41, 94, 98] Operation: 60+38=98
Exploring Operation: 94-60=34, Resulting Numbers: [41, 38, 34]
Generated Node #0,2: 86:[41, 38, 34] Operation: 94-60=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[41, 38, 34], Operations: ['94-60=34']
Exploring Operation: 41-34=7, Resulting Numbers: [38, 7]
Generated Node #0,2,0: 86:[38, 7] Operation: 41-34=7
Exploring Operation: 38-34=4, Resulting Numbers: [41, 4]
Generated Node #0,2,1: 86:[41, 4] Operation: 38-34=4
Exploring Operation: 41-38=3, Resulting Numbers: [34, 3]
Generated Node #0,2,2: 86:[34, 3] Operation: 41-38=3
Moving to Node #0,2,1
Current State: 86:[41, 4], Operations: ['94-60=34', '38-34=4']
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,86 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[38, 7], Operations: ['94-60=34', '41-34=7']
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[34, 3], Operations: ['94-60=34', '41-38=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[41, 94, 98], Operations: ['60+38=98']
Exploring Operation: 94-41=53, Resulting Numbers: [98, 53]
Generated Node #0,1,0: 86:[98, 53] Operation: 94-41=53
Exploring Operation: 98-94=4, Resulting Numbers: [41, 4]
Generated Node #0,1,1: 86:[41, 4] Operation: 98-94=4
Exploring Operation: 98-41=57, Resulting Numbers: [94, 57]
Generated Node #0,1,2: 86:[94, 57] Operation: 98-41=57
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[41, 4], Operations: ['60+38=98', '98-94=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,86 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[98, 53], Operations: ['60+38=98', '94-41=53']
Exploring Operation: 98*53=5194, Resulting Numbers: [5194]
5194,86 unequal: No Solution
Exploring Operation: 98+53=151, Resulting Numbers: [151]
151,86 unequal: No Solution
Exploring Operation: 98-53=45, Resulting Numbers: [45]
45,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 86:[94, 57], Operations: ['60+38=98', '98-41=57']
Exploring Operation: 94*57=5358, Resulting Numbers: [5358]
5358,86 unequal: No Solution
Exploring Operation: 94+57=151, Resulting Numbers: [151]
151,86 unequal: No Solution
Exploring Operation: 94-57=37, Resulting Numbers: [37]
37,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[94, 60, 3], Operations: ['41-38=3']
Exploring Operation: 94-3=91, Resulting Numbers: [60, 91]
Generated Node #0,0,0: 86:[60, 91] Operation: 94-3=91
Exploring Operation: 94-60=34, Resulting Numbers: [3, 34]
Generated Node #0,0,1: 86:[3, 34] Operation: 94-60=34
Exploring Operation: 60-3=57, Resulting Numbers: [94, 57]
Generated Node #0,0,2: 86:[94, 57] Operation: 60-3=57
Moving to Node #0,0,1
Current State: 86:[3, 34], Operations: ['41-38=3', '94-60=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,86 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[60, 91], Operations: ['41-38=3', '94-3=91']
Exploring Operation: 60*91=5460, Resulting Numbers: [5460]
5460,86 unequal: No Solution
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Exploring Operation: 60+91=151, Resulting Numbers: [151]
151,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[94, 57], Operations: ['41-38=3', '60-3=57']
Exploring Operation: 94-57=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 94+57=151, Resulting Numbers: [151]
151,86 unequal: No Solution
Exploring Operation: 94*57=5358, Resulting Numbers: [5358]
5358,86 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
|
[
50,
58,
32,
87
] | 83 |
[
"58-50=8",
"32/8=4",
"87-4=83"
] |
Current State: 83:[50, 58, 32, 87], Operations: []
Exploring Operation: 58-50=8, Resulting Numbers: [32, 87, 8]
Generated Node #2: [32, 87, 8] from Operation: 58-50=8
Current State: 83:[32, 87, 8], Operations: ['58-50=8']
Exploring Operation: 32/8=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 32/8=4
Current State: 83:[87, 4], Operations: ['58-50=8', '32/8=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
Current State: 83:[50, 58, 32, 87], Operations: []
Exploring Operation: 50+32=82, Resulting Numbers: [58, 87, 82]
Generated Node #0,0: 83:[58, 87, 82] Operation: 50+32=82
Exploring Operation: 87-32=55, Resulting Numbers: [50, 58, 55]
Generated Node #0,1: 83:[50, 58, 55] Operation: 87-32=55
Exploring Operation: 50+58=108, Resulting Numbers: [32, 87, 108]
Generated Node #0,2: 83:[32, 87, 108] Operation: 50+58=108
Exploring Operation: 58+32=90, Resulting Numbers: [50, 87, 90]
Generated Node #0,3: 83:[50, 87, 90] Operation: 58+32=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[58, 87, 82], Operations: ['50+32=82']
Exploring Operation: 58+82=140, Resulting Numbers: [87, 140]
Generated Node #0,0,0: 83:[87, 140] Operation: 58+82=140
Exploring Operation: 87-58=29, Resulting Numbers: [82, 29]
Generated Node #0,0,1: 83:[82, 29] Operation: 87-58=29
Exploring Operation: 58+87=145, Resulting Numbers: [82, 145]
Generated Node #0,0,2: 83:[82, 145] Operation: 58+87=145
Exploring Operation: 82-58=24, Resulting Numbers: [87, 24]
Generated Node #0,0,3: 83:[87, 24] Operation: 82-58=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[82, 29], Operations: ['50+32=82', '87-58=29']
Exploring Operation: 82-29=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 82*29=2378, Resulting Numbers: [2378]
2378,83 unequal: No Solution
Exploring Operation: 82+29=111, Resulting Numbers: [111]
111,83 unequal: No Solution
No 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: 83:[87, 140], Operations: ['50+32=82', '58+82=140']
Exploring Operation: 140-87=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 87+140=227, Resulting Numbers: [227]
227,83 unequal: No Solution
Exploring Operation: 87*140=12180, Resulting Numbers: [12180]
12180,83 unequal: No Solution
No 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: 83:[82, 145], Operations: ['50+32=82', '58+87=145']
Exploring Operation: 82+145=227, Resulting Numbers: [227]
227,83 unequal: No Solution
Exploring Operation: 145-82=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 82*145=11890, Resulting Numbers: [11890]
11890,83 unequal: No Solution
No 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: 83:[87, 24], Operations: ['50+32=82', '82-58=24']
Exploring Operation: 87+24=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 87*24=2088, Resulting Numbers: [2088]
2088,83 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,83 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: 83:[50, 87, 90], Operations: ['58+32=90']
Exploring Operation: 87-50=37, Resulting Numbers: [90, 37]
Generated Node #0,3,0: 83:[90, 37] Operation: 87-50=37
Exploring Operation: 50+87=137, Resulting Numbers: [90, 137]
Generated Node #0,3,1: 83:[90, 137] Operation: 50+87=137
Exploring Operation: 90-50=40, Resulting Numbers: [87, 40]
Generated Node #0,3,2: 83:[87, 40] Operation: 90-50=40
Exploring Operation: 50+90=140, Resulting Numbers: [87, 140]
Generated Node #0,3,3: 83:[87, 140] Operation: 50+90=140
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[87, 40], Operations: ['58+32=90', '90-50=40']
Exploring Operation: 87+40=127, Resulting Numbers: [127]
127,83 unequal: No Solution
Exploring Operation: 87*40=3480, Resulting Numbers: [3480]
3480,83 unequal: No Solution
Exploring Operation: 87-40=47, Resulting Numbers: [47]
47,83 unequal: No Solution
No 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: 83:[90, 37], Operations: ['58+32=90', '87-50=37']
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 90*37=3330, Resulting Numbers: [3330]
3330,83 unequal: No Solution
Exploring Operation: 90+37=127, Resulting Numbers: [127]
127,83 unequal: No Solution
No 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: 83:[90, 137], Operations: ['58+32=90', '50+87=137']
Exploring Operation: 90+137=227, Resulting Numbers: [227]
227,83 unequal: No Solution
Exploring Operation: 137-90=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 90*137=12330, Resulting Numbers: [12330]
12330,83 unequal: No Solution
No 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: 83:[87, 140], Operations: ['58+32=90', '50+90=140']
Exploring Operation: 87*140=12180, Resulting Numbers: [12180]
12180,83 unequal: No Solution
Exploring Operation: 140-87=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 87+140=227, Resulting Numbers: [227]
227,83 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: 83:[32, 87, 108], Operations: ['50+58=108']
Exploring Operation: 32+87=119, Resulting Numbers: [108, 119]
Generated Node #0,2,0: 83:[108, 119] Operation: 32+87=119
Exploring Operation: 32+108=140, Resulting Numbers: [87, 140]
Generated Node #0,2,1: 83:[87, 140] Operation: 32+108=140
Exploring Operation: 108-32=76, Resulting Numbers: [87, 76]
Generated Node #0,2,2: 83:[87, 76] Operation: 108-32=76
Exploring Operation: 87-32=55, Resulting Numbers: [108, 55]
Generated Node #0,2,3: 83:[108, 55] Operation: 87-32=55
Moving to Node #0,2,2
Current State: 83:[87, 76], Operations: ['50+58=108', '108-32=76']
Exploring Operation: 87*76=6612, Resulting Numbers: [6612]
6612,83 unequal: No Solution
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 87+76=163, Resulting Numbers: [163]
163,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[108, 55], Operations: ['50+58=108', '87-32=55']
Exploring Operation: 108-55=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 108*55=5940, Resulting Numbers: [5940]
5940,83 unequal: No Solution
Exploring Operation: 108+55=163, Resulting Numbers: [163]
163,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[87, 140], Operations: ['50+58=108', '32+108=140']
Exploring Operation: 140-87=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 87+140=227, Resulting Numbers: [227]
227,83 unequal: No Solution
Exploring Operation: 87*140=12180, Resulting Numbers: [12180]
12180,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[108, 119], Operations: ['50+58=108', '32+87=119']
Exploring Operation: 108*119=12852, Resulting Numbers: [12852]
12852,83 unequal: No Solution
Exploring Operation: 119-108=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 108+119=227, Resulting Numbers: [227]
227,83 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:[50, 58, 55], Operations: ['87-32=55']
Exploring Operation: 50+55=105, Resulting Numbers: [58, 105]
Generated Node #0,1,0: 83:[58, 105] Operation: 50+55=105
Exploring Operation: 58-50=8, Resulting Numbers: [55, 8]
Generated Node #0,1,1: 83:[55, 8] Operation: 58-50=8
Exploring Operation: 58+55=113, Resulting Numbers: [50, 113]
Generated Node #0,1,2: 83:[50, 113] Operation: 58+55=113
Exploring Operation: 50+58=108, Resulting Numbers: [55, 108]
Generated Node #0,1,3: 83:[55, 108] Operation: 50+58=108
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[58, 105], Operations: ['87-32=55', '50+55=105']
Exploring Operation: 105-58=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 58*105=6090, Resulting Numbers: [6090]
6090,83 unequal: No Solution
Exploring Operation: 58+105=163, Resulting Numbers: [163]
163,83 unequal: No Solution
No 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: 83:[55, 108], Operations: ['87-32=55', '50+58=108']
Exploring Operation: 55+108=163, Resulting Numbers: [163]
163,83 unequal: No Solution
Exploring Operation: 108-55=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 55*108=5940, Resulting Numbers: [5940]
5940,83 unequal: No Solution
No 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: 83:[50, 113], Operations: ['87-32=55', '58+55=113']
Exploring Operation: 50+113=163, Resulting Numbers: [163]
163,83 unequal: No Solution
Exploring Operation: 50*113=5650, Resulting Numbers: [5650]
5650,83 unequal: No Solution
Exploring Operation: 113-50=63, Resulting Numbers: [63]
63,83 unequal: No Solution
No 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: 83:[55, 8], Operations: ['87-32=55', '58-50=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,83 unequal: No Solution
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,83 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
|
[
25,
42,
3,
63
] | 46 |
[
"25+42=67",
"63/3=21",
"67-21=46"
] |
Current State: 46:[25, 42, 3, 63], Operations: []
Exploring Operation: 25+42=67, Resulting Numbers: [3, 63, 67]
Generated Node #2: [3, 63, 67] from Operation: 25+42=67
Current State: 46:[3, 63, 67], Operations: ['25+42=67']
Exploring Operation: 63/3=21, Resulting Numbers: [67, 21]
Generated Node #3: [67, 21] from Operation: 63/3=21
Current State: 46:[67, 21], Operations: ['25+42=67', '63/3=21']
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[25, 42, 3, 63], Operations: []
Exploring Operation: 63-42=21, Resulting Numbers: [25, 3, 21]
Generated Node #0,0: 46:[25, 3, 21] Operation: 63-42=21
Exploring Operation: 42+3=45, Resulting Numbers: [25, 63, 45]
Generated Node #0,1: 46:[25, 63, 45] Operation: 42+3=45
Exploring Operation: 63-25=38, Resulting Numbers: [42, 3, 38]
Generated Node #0,2: 46:[42, 3, 38] Operation: 63-25=38
Exploring Operation: 63/3=21, Resulting Numbers: [25, 42, 21]
Generated Node #0,3: 46:[25, 42, 21] Operation: 63/3=21
Exploring Operation: 63-3=60, Resulting Numbers: [25, 42, 60]
Generated Node #0,4: 46:[25, 42, 60] Operation: 63-3=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[25, 3, 21], Operations: ['63-42=21']
Exploring Operation: 25-21=4, Resulting Numbers: [3, 4]
Generated Node #0,0,0: 46:[3, 4] Operation: 25-21=4
Exploring Operation: 25-3=22, Resulting Numbers: [21, 22]
Generated Node #0,0,1: 46:[21, 22] Operation: 25-3=22
Exploring Operation: 25+3=28, Resulting Numbers: [21, 28]
Generated Node #0,0,2: 46:[21, 28] Operation: 25+3=28
Exploring Operation: 25+21=46, Resulting Numbers: [3, 46]
Generated Node #0,0,3: 46:[3, 46] Operation: 25+21=46
Exploring Operation: 3+21=24, Resulting Numbers: [25, 24]
Generated Node #0,0,4: 46:[25, 24] Operation: 3+21=24
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 46:[3, 46], Operations: ['63-42=21', '25+21=46']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[3, 4], Operations: ['63-42=21', '25-21=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,46 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 46:[21, 22], Operations: ['63-42=21', '25-3=22']
Exploring Operation: 21+22=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 21*22=462, Resulting Numbers: [462]
462,46 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 46:[25, 24], Operations: ['63-42=21', '3+21=24']
Exploring Operation: 25*24=600, Resulting Numbers: [600]
600,46 unequal: No Solution
Exploring Operation: 25+24=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 46:[21, 28], Operations: ['63-42=21', '25+3=28']
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 21*28=588, Resulting Numbers: [588]
588,46 unequal: No Solution
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,46 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: 46:[25, 42, 21], Operations: ['63/3=21']
Exploring Operation: 42-21=21, Resulting Numbers: [25, 21]
Generated Node #0,3,0: 46:[25, 21] Operation: 42-21=21
Exploring Operation: 25+21=46, Resulting Numbers: [42, 46]
Generated Node #0,3,1: 46:[42, 46] Operation: 25+21=46
Exploring Operation: 25-21=4, Resulting Numbers: [42, 4]
Generated Node #0,3,2: 46:[42, 4] Operation: 25-21=4
Exploring Operation: 42/21=2, Resulting Numbers: [25, 2]
Generated Node #0,3,3: 46:[25, 2] Operation: 42/21=2
Exploring Operation: 42-25=17, Resulting Numbers: [21, 17]
Generated Node #0,3,4: 46:[21, 17] Operation: 42-25=17
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 46:[25, 2], Operations: ['63/3=21', '42/21=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 46:[25, 21], Operations: ['63/3=21', '42-21=21']
Exploring Operation: 25*21=525, Resulting Numbers: [525]
525,46 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[25, 42, 3, 63], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [25, 42, 21]
Generated Node #0,3: 46:[25, 42, 21] Operation: 63/3=21
Moving to Node #0,3
Current State: 46:[25, 42, 21], Operations: ['63/3=21']
Exploring Operation: 42-21=21, Resulting Numbers: [25, 21]
Generated Node #0,3,0: 46:[25, 21] Operation: 42-21=21
Moving to Node #0,3,0
Current State: 46:[25, 21], Operations: ['63/3=21', '42-21=21']
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278 |
hs_5
|
mult_heuristic
|
[
14,
29,
6,
80
] | 19 |
[
"14-6=8",
"80/8=10",
"29-10=19"
] |
Current State: 19:[14, 29, 6, 80], Operations: []
Exploring Operation: 14-6=8, Resulting Numbers: [29, 80, 8]
Generated Node #2: [29, 80, 8] from Operation: 14-6=8
Current State: 19:[29, 80, 8], Operations: ['14-6=8']
Exploring Operation: 80/8=10, Resulting Numbers: [29, 10]
Generated Node #3: [29, 10] from Operation: 80/8=10
Current State: 19:[29, 10], Operations: ['14-6=8', '80/8=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[14, 29, 6, 80], Operations: []
Exploring Operation: 80-29=51, Resulting Numbers: [14, 6, 51]
Generated Node #0,0: 19:[14, 6, 51] Operation: 80-29=51
Moving to Node #0,0
Current State: 19:[14, 6, 51], Operations: ['80-29=51']
Exploring Operation: 51-14=37, Resulting Numbers: [6, 37]
Generated Node #0,0,0: 19:[6, 37] Operation: 51-14=37
Moving to Node #0,0,0
Current State: 19:[6, 37], Operations: ['80-29=51', '51-14=37']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,19 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
83,
22,
94,
18
] | 20 |
[
"94-83=11",
"22/11=2",
"18+2=20"
] |
Current State: 20:[83, 22, 94, 18], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [22, 18, 11]
Generated Node #2: [22, 18, 11] from Operation: 94-83=11
Current State: 20:[22, 18, 11], Operations: ['94-83=11']
Exploring Operation: 22/11=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 22/11=2
Current State: 20:[18, 2], Operations: ['94-83=11', '22/11=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
Current State: 20:[83, 22, 94, 18], Operations: []
Exploring Operation: 83-22=61, Resulting Numbers: [94, 18, 61]
Generated Node #0,0: 20:[94, 18, 61] Operation: 83-22=61
Exploring Operation: 94-83=11, Resulting Numbers: [22, 18, 11]
Generated Node #0,1: 20:[22, 18, 11] Operation: 94-83=11
Exploring Operation: 94-22=72, Resulting Numbers: [83, 18, 72]
Generated Node #0,2: 20:[83, 18, 72] Operation: 94-22=72
Moving to Node #0,1
Current State: 20:[22, 18, 11], Operations: ['94-83=11']
Exploring Operation: 22/11=2, Resulting Numbers: [18, 2]
Generated Node #0,1,0: 20:[18, 2] Operation: 22/11=2
Exploring Operation: 22-11=11, Resulting Numbers: [18, 11]
Generated Node #0,1,1: 20:[18, 11] Operation: 22-11=11
Exploring Operation: 22-18=4, Resulting Numbers: [11, 4]
Generated Node #0,1,2: 20:[11, 4] Operation: 22-18=4
Moving to Node #0,0
Current State: 20:[94, 18, 61], Operations: ['83-22=61']
Exploring Operation: 94-61=33, Resulting Numbers: [18, 33]
Generated Node #0,0,0: 20:[18, 33] Operation: 94-61=33
Exploring Operation: 94-18=76, Resulting Numbers: [61, 76]
Generated Node #0,0,1: 20:[61, 76] Operation: 94-18=76
Exploring Operation: 61-18=43, Resulting Numbers: [94, 43]
Generated Node #0,0,2: 20:[94, 43] Operation: 61-18=43
Moving to Node #0,2
Current State: 20:[83, 18, 72], Operations: ['94-22=72']
Exploring Operation: 83-72=11, Resulting Numbers: [18, 11]
Generated Node #0,2,0: 20:[18, 11] Operation: 83-72=11
Exploring Operation: 83-18=65, Resulting Numbers: [72, 65]
Generated Node #0,2,1: 20:[72, 65] Operation: 83-18=65
Exploring Operation: 72/18=4, Resulting Numbers: [83, 4]
Generated Node #0,2,2: 20:[83, 4] Operation: 72/18=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 20:[18, 11], Operations: ['94-22=72', '83-72=11']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,20 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 20:[83, 4], Operations: ['94-22=72', '72/18=4']
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,20 unequal: No Solution
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,20 unequal: No Solution
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 20:[72, 65], Operations: ['94-22=72', '83-18=65']
Exploring Operation: 72+65=137, Resulting Numbers: [137]
137,20 unequal: No Solution
Exploring Operation: 72*65=4680, Resulting Numbers: [4680]
4680,20 unequal: No Solution
Exploring Operation: 72-65=7, Resulting Numbers: [7]
7,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 20:[11, 4], Operations: ['94-83=11', '22-18=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,20 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[18, 2], Operations: ['94-83=11', '22/11=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,20 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:[83, 22, 94, 18], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [22, 18, 11]
Generated Node #0,1: 20:[22, 18, 11] Operation: 94-83=11
Moving to Node #0,1
Current State: 20:[22, 18, 11], Operations: ['94-83=11']
Exploring Operation: 22/11=2, Resulting Numbers: [18, 2]
Generated Node #0,1,0: 20:[18, 2] Operation: 22/11=2
Moving to Node #0,1,0
Current State: 20:[18, 2], Operations: ['94-83=11', '22/11=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.97309 |
hs_3
|
mult_heuristic
|
[
19,
18,
32,
19
] | 49 |
[
"19/19=1",
"18+32=50",
"50-1=49"
] |
Current State: 49:[19, 18, 32, 19], Operations: []
Exploring Operation: 19/19=1, Resulting Numbers: [18, 32, 1]
Generated Node #2: [18, 32, 1] from Operation: 19/19=1
Current State: 49:[18, 32, 1], Operations: ['19/19=1']
Exploring Operation: 18+32=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 18+32=50
Current State: 49:[1, 50], Operations: ['19/19=1', '18+32=50']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[19, 18, 32, 19], Operations: []
Exploring Operation: 18+32=50, Resulting Numbers: [19, 19, 50]
Generated Node #0,0: 49:[19, 19, 50] Operation: 18+32=50
Exploring Operation: 19+32=51, Resulting Numbers: [18, 19, 51]
Generated Node #0,1: 49:[18, 19, 51] Operation: 19+32=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[19, 19, 50], Operations: ['18+32=50']
Exploring Operation: 19/19=1, Resulting Numbers: [50, 1]
Generated Node #0,0,0: 49:[50, 1] Operation: 19/19=1
Exploring Operation: 19-19=0, Resulting Numbers: [50, 0]
Generated Node #0,0,1: 49:[50, 0] Operation: 19-19=0
Moving to Node #0,0,0
Current State: 49:[50, 1], Operations: ['18+32=50', '19/19=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[19, 18, 32, 19], Operations: []
Exploring Operation: 18+32=50, Resulting Numbers: [19, 19, 50]
Generated Node #0,0: 49:[19, 19, 50] Operation: 18+32=50
Moving to Node #0,0
Current State: 49:[19, 19, 50], Operations: ['18+32=50']
Exploring Operation: 19/19=1, Resulting Numbers: [50, 1]
Generated Node #0,0,0: 49:[50, 1] Operation: 19/19=1
Moving to Node #0,0,0
Current State: 49:[50, 1], Operations: ['18+32=50', '19/19=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
mult_heuristic
|
[
9,
77,
53,
11
] | 31 |
[
"9*11=99",
"77+53=130",
"130-99=31"
] |
Current State: 31:[9, 77, 53, 11], Operations: []
Exploring Operation: 9*11=99, Resulting Numbers: [77, 53, 99]
Generated Node #2: [77, 53, 99] from Operation: 9*11=99
Current State: 31:[77, 53, 99], Operations: ['9*11=99']
Exploring Operation: 77+53=130, Resulting Numbers: [99, 130]
Generated Node #3: [99, 130] from Operation: 77+53=130
Current State: 31:[99, 130], Operations: ['9*11=99', '77+53=130']
Exploring Operation: 130-99=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
Current State: 31:[9, 77, 53, 11], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [9, 11, 24]
Generated Node #0,0: 31:[9, 11, 24] Operation: 77-53=24
Exploring Operation: 77-9=68, Resulting Numbers: [53, 11, 68]
Generated Node #0,1: 31:[53, 11, 68] Operation: 77-9=68
Exploring Operation: 53-9=44, Resulting Numbers: [77, 11, 44]
Generated Node #0,2: 31:[77, 11, 44] Operation: 53-9=44
Exploring Operation: 77/11=7, Resulting Numbers: [9, 53, 7]
Generated Node #0,3: 31:[9, 53, 7] Operation: 77/11=7
Exploring Operation: 9+11=20, Resulting Numbers: [77, 53, 20]
Generated Node #0,4: 31:[77, 53, 20] Operation: 9+11=20
Moving to Node #0,0
Current State: 31:[9, 11, 24], Operations: ['77-53=24']
Exploring Operation: 11+24=35, Resulting Numbers: [9, 35]
Generated Node #0,0,0: 31:[9, 35] Operation: 11+24=35
Exploring Operation: 24-9=15, Resulting Numbers: [11, 15]
Generated Node #0,0,1: 31:[11, 15] Operation: 24-9=15
Exploring Operation: 9+24=33, Resulting Numbers: [11, 33]
Generated Node #0,0,2: 31:[11, 33] Operation: 9+24=33
Exploring Operation: 9+11=20, Resulting Numbers: [24, 20]
Generated Node #0,0,3: 31:[24, 20] Operation: 9+11=20
Exploring Operation: 11-9=2, Resulting Numbers: [24, 2]
Generated Node #0,0,4: 31:[24, 2] Operation: 11-9=2
Moving to Node #0,3
Current State: 31:[9, 53, 7], Operations: ['77/11=7']
Exploring Operation: 9+7=16, Resulting Numbers: [53, 16]
Generated Node #0,3,0: 31:[53, 16] Operation: 9+7=16
Exploring Operation: 9-7=2, Resulting Numbers: [53, 2]
Generated Node #0,3,1: 31:[53, 2] Operation: 9-7=2
Exploring Operation: 53-9=44, Resulting Numbers: [7, 44]
Generated Node #0,3,2: 31:[7, 44] Operation: 53-9=44
Exploring Operation: 53+7=60, Resulting Numbers: [9, 60]
Generated Node #0,3,3: 31:[9, 60] Operation: 53+7=60
Exploring Operation: 53-7=46, Resulting Numbers: [9, 46]
Generated Node #0,3,4: 31:[9, 46] Operation: 53-7=46
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 31:[53, 16], Operations: ['77/11=7', '9+7=16']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,31 unequal: No Solution
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 31:[7, 44], Operations: ['77/11=7', '53-9=44']
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,31 unequal: No Solution
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 31:[9, 46], Operations: ['77/11=7', '53-7=46']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,31 unequal: No Solution
Exploring Operation: 9*46=414, Resulting Numbers: [414]
414,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 31:[53, 2], Operations: ['77/11=7', '9-7=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,31 unequal: No Solution
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 31:[9, 60], Operations: ['77/11=7', '53+7=60']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 9+60=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 9*60=540, Resulting Numbers: [540]
540,31 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: 31:[53, 11, 68], Operations: ['77-9=68']
Exploring Operation: 53+11=64, Resulting Numbers: [68, 64]
Generated Node #0,1,0: 31:[68, 64] Operation: 53+11=64
Exploring Operation: 53-11=42, Resulting Numbers: [68, 42]
Generated Node #0,1,1: 31:[68, 42] Operation: 53-11=42
Exploring Operation: 68-53=15, Resulting Numbers: [11, 15]
Generated Node #0,1,2: 31:[11, 15] Operation: 68-53=15
Exploring Operation: 68-11=57, Resulting Numbers: [53, 57]
Generated Node #0,1,3: 31:[53, 57] Operation: 68-11=57
Exploring Operation: 11+68=79, Resulting Numbers: [53, 79]
Generated Node #0,1,4: 31:[53, 79] Operation: 11+68=79
Moving to Node #0,2
Current State: 31:[77, 11, 44], Operations: ['53-9=44']
Exploring Operation: 77+11=88, Resulting Numbers: [44, 88]
Generated Node #0,2,0: 31:[44, 88] Operation: 77+11=88
Exploring Operation: 77-44=33, Resulting Numbers: [11, 33]
Generated Node #0,2,1: 31:[11, 33] Operation: 77-44=33
Exploring Operation: 77/11=7, Resulting Numbers: [44, 7]
Generated Node #0,2,2: 31:[44, 7] Operation: 77/11=7
Exploring Operation: 44-11=33, Resulting Numbers: [77, 33]
Generated Node #0,2,3: 31:[77, 33] Operation: 44-11=33
Exploring Operation: 77-11=66, Resulting Numbers: [44, 66]
Generated Node #0,2,4: 31:[44, 66] Operation: 77-11=66
Moving to Node #0,4
Current State: 31:[77, 53, 20], Operations: ['9+11=20']
Exploring Operation: 53+20=73, Resulting Numbers: [77, 73]
Generated Node #0,4,0: 31:[77, 73] Operation: 53+20=73
Exploring Operation: 77-20=57, Resulting Numbers: [53, 57]
Generated Node #0,4,1: 31:[53, 57] Operation: 77-20=57
Exploring Operation: 53-20=33, Resulting Numbers: [77, 33]
Generated Node #0,4,2: 31:[77, 33] Operation: 53-20=33
Exploring Operation: 77+20=97, Resulting Numbers: [53, 97]
Generated Node #0,4,3: 31:[53, 97] Operation: 77+20=97
Exploring Operation: 77-53=24, Resulting Numbers: [20, 24]
Generated Node #0,4,4: 31:[20, 24] Operation: 77-53=24
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 31:[20, 24], Operations: ['9+11=20', '77-53=24']
Exploring Operation: 20*24=480, Resulting Numbers: [480]
480,31 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 31:[53, 57], Operations: ['9+11=20', '77-20=57']
Exploring Operation: 53+57=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 53*57=3021, Resulting Numbers: [3021]
3021,31 unequal: No Solution
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 31:[77, 33], Operations: ['9+11=20', '53-20=33']
Exploring Operation: 77+33=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 77*33=2541, Resulting Numbers: [2541]
2541,31 unequal: No Solution
Exploring Operation: 77-33=44, Resulting Numbers: [44]
44,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 31:[77, 73], Operations: ['9+11=20', '53+20=73']
Exploring Operation: 77+73=150, Resulting Numbers: [150]
150,31 unequal: No Solution
Exploring Operation: 77-73=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 77*73=5621, Resulting Numbers: [5621]
5621,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 31:[53, 97], Operations: ['9+11=20', '77+20=97']
Exploring Operation: 97-53=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 53*97=5141, Resulting Numbers: [5141]
5141,31 unequal: No Solution
Exploring Operation: 53+97=150, Resulting Numbers: [150]
150,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 31:[24, 20], Operations: ['77-53=24', '9+11=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,31 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[11, 33], Operations: ['77-53=24', '9+24=33']
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 11*33=363, Resulting Numbers: [363]
363,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[11, 33], Operations: ['53-9=44', '77-44=33']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 11*33=363, Resulting Numbers: [363]
363,31 unequal: No Solution
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[9, 35], Operations: ['77-53=24', '11+24=35']
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,31 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[11, 15], Operations: ['77-9=68', '68-53=15']
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,31 unequal: No Solution
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Moving to Node #0,0,4
Current State: 31:[24, 2], Operations: ['77-53=24', '11-9=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,31 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[11, 15], Operations: ['77-53=24', '24-9=15']
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,31 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[44, 7], Operations: ['53-9=44', '77/11=7']
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,31 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[68, 42], Operations: ['77-9=68', '53-11=42']
Exploring Operation: 68*42=2856, Resulting Numbers: [2856]
2856,31 unequal: No Solution
Exploring Operation: 68+42=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Moving to Node #0,2,3
Current State: 31:[77, 33], Operations: ['53-9=44', '44-11=33']
Exploring Operation: 77*33=2541, Resulting Numbers: [2541]
2541,31 unequal: No Solution
Exploring Operation: 77+33=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 77-33=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Moving to Node #0,2,4
Current State: 31:[44, 66], Operations: ['53-9=44', '77-11=66']
Exploring Operation: 44*66=2904, Resulting Numbers: [2904]
2904,31 unequal: No Solution
Exploring Operation: 66-44=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 44+66=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[53, 57], Operations: ['77-9=68', '68-11=57']
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 53+57=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 53*57=3021, Resulting Numbers: [3021]
3021,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[44, 88], Operations: ['53-9=44', '77+11=88']
Exploring Operation: 44*88=3872, Resulting Numbers: [3872]
3872,31 unequal: No Solution
Exploring Operation: 44+88=132, Resulting Numbers: [132]
132,31 unequal: No Solution
Exploring Operation: 88-44=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 88/44=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[68, 64], Operations: ['77-9=68', '53+11=64']
Exploring Operation: 68+64=132, Resulting Numbers: [132]
132,31 unequal: No Solution
Exploring Operation: 68-64=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 68*64=4352, Resulting Numbers: [4352]
4352,31 unequal: No Solution
Moving to Node #0,1,4
Current State: 31:[53, 79], Operations: ['77-9=68', '11+68=79']
Exploring Operation: 53+79=132, Resulting Numbers: [132]
132,31 unequal: No Solution
Exploring Operation: 53*79=4187, Resulting Numbers: [4187]
4187,31 unequal: No Solution
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,31 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
34,
94,
64,
21
] | 25 |
[
"94-34=60",
"64+21=85",
"85-60=25"
] |
Current State: 25:[34, 94, 64, 21], Operations: []
Exploring Operation: 94-34=60, Resulting Numbers: [64, 21, 60]
Generated Node #2: [64, 21, 60] from Operation: 94-34=60
Current State: 25:[64, 21, 60], Operations: ['94-34=60']
Exploring Operation: 64+21=85, Resulting Numbers: [60, 85]
Generated Node #3: [60, 85] from Operation: 64+21=85
Current State: 25:[60, 85], Operations: ['94-34=60', '64+21=85']
Exploring Operation: 85-60=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[34, 94, 64, 21], Operations: []
Exploring Operation: 94-64=30, Resulting Numbers: [34, 21, 30]
Generated Node #0,0: 25:[34, 21, 30] Operation: 94-64=30
Exploring Operation: 94-34=60, Resulting Numbers: [64, 21, 60]
Generated Node #0,1: 25:[64, 21, 60] Operation: 94-34=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[34, 21, 30], Operations: ['94-64=30']
Exploring Operation: 34-21=13, Resulting Numbers: [30, 13]
Generated Node #0,0,0: 25:[30, 13] Operation: 34-21=13
Exploring Operation: 34-30=4, Resulting Numbers: [21, 4]
Generated Node #0,0,1: 25:[21, 4] Operation: 34-30=4
Moving to Node #0,0,1
Current State: 25:[21, 4], Operations: ['94-64=30', '34-30=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[34, 94, 64, 21], Operations: []
Exploring Operation: 94-64=30, Resulting Numbers: [34, 21, 30]
Generated Node #0,0: 25:[34, 21, 30] Operation: 94-64=30
Moving to Node #0,0
Current State: 25:[34, 21, 30], Operations: ['94-64=30']
Exploring Operation: 34-30=4, Resulting Numbers: [21, 4]
Generated Node #0,0,1: 25:[21, 4] Operation: 34-30=4
Moving to Node #0,0,1
Current State: 25:[21, 4], Operations: ['94-64=30', '34-30=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
mult_heuristic
|
[
52,
12,
73,
20
] | 53 |
[
"52-12=40",
"73+20=93",
"93-40=53"
] |
Current State: 53:[52, 12, 73, 20], Operations: []
Exploring Operation: 52-12=40, Resulting Numbers: [73, 20, 40]
Generated Node #2: [73, 20, 40] from Operation: 52-12=40
Current State: 53:[73, 20, 40], Operations: ['52-12=40']
Exploring Operation: 73+20=93, Resulting Numbers: [40, 93]
Generated Node #3: [40, 93] from Operation: 73+20=93
Current State: 53:[40, 93], Operations: ['52-12=40', '73+20=93']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
Current State: 53:[52, 12, 73, 20], Operations: []
Exploring Operation: 12+20=32, Resulting Numbers: [52, 73, 32]
Generated Node #0,0: 53:[52, 73, 32] Operation: 12+20=32
Exploring Operation: 73-12=61, Resulting Numbers: [52, 20, 61]
Generated Node #0,1: 53:[52, 20, 61] Operation: 73-12=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[52, 73, 32], Operations: ['12+20=32']
Exploring Operation: 73-32=41, Resulting Numbers: [52, 41]
Generated Node #0,0,0: 53:[52, 41] Operation: 73-32=41
Exploring Operation: 52+32=84, Resulting Numbers: [73, 84]
Generated Node #0,0,1: 53:[73, 84] Operation: 52+32=84
Moving to Node #0,0,0
Current State: 53:[52, 41], Operations: ['12+20=32', '73-32=41']
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 52+41=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[73, 84], Operations: ['12+20=32', '52+32=84']
Exploring Operation: 73+84=157, Resulting Numbers: [157]
157,53 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[52, 20, 61], Operations: ['73-12=61']
Exploring Operation: 52+20=72, Resulting Numbers: [61, 72]
Generated Node #0,1,0: 53:[61, 72] Operation: 52+20=72
Exploring Operation: 61-20=41, Resulting Numbers: [52, 41]
Generated Node #0,1,1: 53:[52, 41] Operation: 61-20=41
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[52, 41], Operations: ['73-12=61', '61-20=41']
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 52+41=93, Resulting Numbers: [93]
93,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[61, 72], Operations: ['73-12=61', '52+20=72']
Exploring Operation: 72-61=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 61+72=133, Resulting Numbers: [133]
133,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
50,
3,
9,
7
] | 84 |
[
"50+7=57",
"3*9=27",
"57+27=84"
] |
Current State: 84:[50, 3, 9, 7], Operations: []
Exploring Operation: 50+7=57, Resulting Numbers: [3, 9, 57]
Generated Node #2: [3, 9, 57] from Operation: 50+7=57
Current State: 84:[3, 9, 57], Operations: ['50+7=57']
Exploring Operation: 3*9=27, Resulting Numbers: [57, 27]
Generated Node #3: [57, 27] from Operation: 3*9=27
Current State: 84:[57, 27], Operations: ['50+7=57', '3*9=27']
Exploring Operation: 57+27=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[50, 3, 9, 7], Operations: []
Exploring Operation: 50-9=41, Resulting Numbers: [3, 7, 41]
Generated Node #0,0: 84:[3, 7, 41] Operation: 50-9=41
Exploring Operation: 50-7=43, Resulting Numbers: [3, 9, 43]
Generated Node #0,1: 84:[3, 9, 43] Operation: 50-7=43
Moving to Node #0,0
Current State: 84:[3, 7, 41], Operations: ['50-9=41']
Exploring Operation: 3*7=21, Resulting Numbers: [41, 21]
Generated Node #0,0,0: 84:[41, 21] Operation: 3*7=21
Exploring Operation: 7-3=4, Resulting Numbers: [41, 4]
Generated Node #0,0,1: 84:[41, 4] Operation: 7-3=4
Moving to Node #0,1
Current State: 84:[3, 9, 43], Operations: ['50-7=43']
Exploring Operation: 9-3=6, Resulting Numbers: [43, 6]
Generated Node #0,1,0: 84:[43, 6] Operation: 9-3=6
Exploring Operation: 3+9=12, Resulting Numbers: [43, 12]
Generated Node #0,1,1: 84:[43, 12] Operation: 3+9=12
Moving to Node #0,0,0
Current State: 84:[41, 21], Operations: ['50-9=41', '3*7=21']
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[43, 6], Operations: ['50-7=43', '9-3=6']
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[41, 4], Operations: ['50-9=41', '7-3=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[43, 12], Operations: ['50-7=43', '3+9=12']
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,84 unequal: No Solution
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,84 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
53,
28,
94,
59
] | 10 |
[
"53-28=25",
"94-59=35",
"35-25=10"
] |
Current State: 10:[53, 28, 94, 59], Operations: []
Exploring Operation: 53-28=25, Resulting Numbers: [94, 59, 25]
Generated Node #2: [94, 59, 25] from Operation: 53-28=25
Current State: 10:[94, 59, 25], Operations: ['53-28=25']
Exploring Operation: 94-59=35, Resulting Numbers: [25, 35]
Generated Node #3: [25, 35] from Operation: 94-59=35
Current State: 10:[25, 35], Operations: ['53-28=25', '94-59=35']
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
Current State: 10:[53, 28, 94, 59], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [28, 94, 6]
Generated Node #0,0: 10:[28, 94, 6] Operation: 59-53=6
Exploring Operation: 94-53=41, Resulting Numbers: [28, 59, 41]
Generated Node #0,1: 10:[28, 59, 41] Operation: 94-53=41
Exploring Operation: 53-28=25, Resulting Numbers: [94, 59, 25]
Generated Node #0,2: 10:[94, 59, 25] Operation: 53-28=25
Exploring Operation: 94-59=35, Resulting Numbers: [53, 28, 35]
Generated Node #0,3: 10:[53, 28, 35] Operation: 94-59=35
Start Sub Search at level 1: Moving to Node #0,3
Current State: 10:[53, 28, 35], Operations: ['94-59=35']
Exploring Operation: 53-28=25, Resulting Numbers: [35, 25]
Generated Node #0,3,0: 10:[35, 25] Operation: 53-28=25
Exploring Operation: 53-35=18, Resulting Numbers: [28, 18]
Generated Node #0,3,1: 10:[28, 18] Operation: 53-35=18
Exploring Operation: 35-28=7, Resulting Numbers: [53, 7]
Generated Node #0,3,2: 10:[53, 7] Operation: 35-28=7
Exploring Operation: 53+28=81, Resulting Numbers: [35, 81]
Generated Node #0,3,3: 10:[35, 81] Operation: 53+28=81
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 10:[28, 18], Operations: ['94-59=35', '53-35=18']
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,10 unequal: No Solution
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,10 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[53, 28, 94, 59], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [53, 28, 35]
Generated Node #0,3: 10:[53, 28, 35] Operation: 94-59=35
Moving to Node #0,3
Current State: 10:[53, 28, 35], Operations: ['94-59=35']
Exploring Operation: 53-35=18, Resulting Numbers: [28, 18]
Generated Node #0,3,1: 10:[28, 18] Operation: 53-35=18
Moving to Node #0,3,1
Current State: 10:[28, 18], Operations: ['94-59=35', '53-35=18']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
mult_heuristic
|
[
22,
5,
23,
59
] | 34 |
[
"22+59=81",
"5*23=115",
"115-81=34"
] |
Current State: 34:[22, 5, 23, 59], Operations: []
Exploring Operation: 22+59=81, Resulting Numbers: [5, 23, 81]
Generated Node #2: [5, 23, 81] from Operation: 22+59=81
Current State: 34:[5, 23, 81], Operations: ['22+59=81']
Exploring Operation: 5*23=115, Resulting Numbers: [81, 115]
Generated Node #3: [81, 115] from Operation: 5*23=115
Current State: 34:[81, 115], Operations: ['22+59=81', '5*23=115']
Exploring Operation: 115-81=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[22, 5, 23, 59], Operations: []
Exploring Operation: 59-23=36, Resulting Numbers: [22, 5, 36]
Generated Node #0,0: 34:[22, 5, 36] Operation: 59-23=36
Exploring Operation: 23-22=1, Resulting Numbers: [5, 59, 1]
Generated Node #0,1: 34:[5, 59, 1] Operation: 23-22=1
Exploring Operation: 59-22=37, Resulting Numbers: [5, 23, 37]
Generated Node #0,2: 34:[5, 23, 37] Operation: 59-22=37
Moving to Node #0,0
Current State: 34:[22, 5, 36], Operations: ['59-23=36']
Exploring Operation: 22-5=17, Resulting Numbers: [36, 17]
Generated Node #0,0,0: 34:[36, 17] Operation: 22-5=17
Exploring Operation: 36-5=31, Resulting Numbers: [22, 31]
Generated Node #0,0,1: 34:[22, 31] Operation: 36-5=31
Exploring Operation: 36-22=14, Resulting Numbers: [5, 14]
Generated Node #0,0,2: 34:[5, 14] Operation: 36-22=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[36, 17], Operations: ['59-23=36', '22-5=17']
Exploring Operation: 36*17=612, Resulting Numbers: [612]
612,34 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 36+17=53, Resulting Numbers: [53]
53,34 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:[5, 14], Operations: ['59-23=36', '36-22=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,34 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,34 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 #0,0,1
Current State: 34:[22, 31], Operations: ['59-23=36', '36-5=31']
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,34 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,34 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:[5, 23, 37], Operations: ['59-22=37']
Exploring Operation: 23-5=18, Resulting Numbers: [37, 18]
Generated Node #0,2,0: 34:[37, 18] Operation: 23-5=18
Exploring Operation: 37-23=14, Resulting Numbers: [5, 14]
Generated Node #0,2,1: 34:[5, 14] Operation: 37-23=14
Exploring Operation: 37-5=32, Resulting Numbers: [23, 32]
Generated Node #0,2,2: 34:[23, 32] Operation: 37-5=32
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[37, 18], Operations: ['59-22=37', '23-5=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 37*18=666, Resulting Numbers: [666]
666,34 unequal: No Solution
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,34 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 #0,2,1
Current State: 34:[5, 14], Operations: ['59-22=37', '37-23=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,34 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,34 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 #0,2,2
Current State: 34:[23, 32], Operations: ['59-22=37', '37-5=32']
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,34 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,34 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: 34:[5, 59, 1], Operations: ['23-22=1']
Exploring Operation: 59-5=54, Resulting Numbers: [1, 54]
Generated Node #0,1,0: 34:[1, 54] Operation: 59-5=54
Exploring Operation: 5-1=4, Resulting Numbers: [59, 4]
Generated Node #0,1,1: 34:[59, 4] Operation: 5-1=4
Exploring Operation: 59-1=58, Resulting Numbers: [5, 58]
Generated Node #0,1,2: 34:[5, 58] Operation: 59-1=58
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[1, 54], Operations: ['23-22=1', '59-5=54']
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,34 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 #0,1,1
Current State: 34:[59, 4], Operations: ['23-22=1', '5-1=4']
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,34 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Exploring Operation: 59+4=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 #0,1,2
Current State: 34:[5, 58], Operations: ['23-22=1', '59-1=58']
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,34 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,34 unequal: No Solution
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
56,
89,
84,
36
] | 77 |
[
"89-56=33",
"84*33=2772",
"2772/36=77"
] |
Current State: 77:[56, 89, 84, 36], Operations: []
Exploring Operation: 89-56=33, Resulting Numbers: [84, 36, 33]
Generated Node #2: [84, 36, 33] from Operation: 89-56=33
Current State: 77:[84, 36, 33], Operations: ['89-56=33']
Exploring Operation: 84*33=2772, Resulting Numbers: [36, 2772]
Generated Node #3: [36, 2772] from Operation: 84*33=2772
Current State: 77:[36, 2772], Operations: ['89-56=33', '84*33=2772']
Exploring Operation: 2772/36=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
Current State: 77:[56, 89, 84, 36], Operations: []
Exploring Operation: 56-36=20, Resulting Numbers: [89, 84, 20]
Generated Node #0,0: 77:[89, 84, 20] Operation: 56-36=20
Exploring Operation: 56+36=92, Resulting Numbers: [89, 84, 92]
Generated Node #0,1: 77:[89, 84, 92] Operation: 56+36=92
Exploring Operation: 89-36=53, Resulting Numbers: [56, 84, 53]
Generated Node #0,2: 77:[56, 84, 53] Operation: 89-36=53
Exploring Operation: 89-84=5, Resulting Numbers: [56, 36, 5]
Generated Node #0,3: 77:[56, 36, 5] Operation: 89-84=5
Moving to Node #0,0
Current State: 77:[89, 84, 20], Operations: ['56-36=20']
Exploring Operation: 89-20=69, Resulting Numbers: [84, 69]
Generated Node #0,0,0: 77:[84, 69] Operation: 89-20=69
Exploring Operation: 89-84=5, Resulting Numbers: [20, 5]
Generated Node #0,0,1: 77:[20, 5] Operation: 89-84=5
Exploring Operation: 84-20=64, Resulting Numbers: [89, 64]
Generated Node #0,0,2: 77:[89, 64] Operation: 84-20=64
Exploring Operation: 89+20=109, Resulting Numbers: [84, 109]
Generated Node #0,0,3: 77:[84, 109] Operation: 89+20=109
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[20, 5], Operations: ['56-36=20', '89-84=5']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,77 unequal: No Solution
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,77 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 #0,0,0
Current State: 77:[84, 69], Operations: ['56-36=20', '89-20=69']
Exploring Operation: 84*69=5796, Resulting Numbers: [5796]
5796,77 unequal: No Solution
Exploring Operation: 84+69=153, Resulting Numbers: [153]
153,77 unequal: No Solution
Exploring Operation: 84-69=15, Resulting Numbers: [15]
15,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 77:[89, 64], Operations: ['56-36=20', '84-20=64']
Exploring Operation: 89+64=153, Resulting Numbers: [153]
153,77 unequal: No Solution
Exploring Operation: 89*64=5696, Resulting Numbers: [5696]
5696,77 unequal: No Solution
Exploring Operation: 89-64=25, Resulting Numbers: [25]
25,77 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 #0,0,3
Current State: 77:[84, 109], Operations: ['56-36=20', '89+20=109']
Exploring Operation: 84*109=9156, Resulting Numbers: [9156]
9156,77 unequal: No Solution
Exploring Operation: 84+109=193, Resulting Numbers: [193]
193,77 unequal: No Solution
Exploring Operation: 109-84=25, Resulting Numbers: [25]
25,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 77:[89, 84, 92], Operations: ['56+36=92']
Exploring Operation: 92-89=3, Resulting Numbers: [84, 3]
Generated Node #0,1,0: 77:[84, 3] Operation: 92-89=3
Exploring Operation: 92-84=8, Resulting Numbers: [89, 8]
Generated Node #0,1,1: 77:[89, 8] Operation: 92-84=8
Exploring Operation: 89+84=173, Resulting Numbers: [92, 173]
Generated Node #0,1,2: 77:[92, 173] Operation: 89+84=173
Exploring Operation: 89-84=5, Resulting Numbers: [92, 5]
Generated Node #0,1,3: 77:[92, 5] Operation: 89-84=5
Moving to Node #0,3
Current State: 77:[56, 36, 5], Operations: ['89-84=5']
Exploring Operation: 56+5=61, Resulting Numbers: [36, 61]
Generated Node #0,3,0: 77:[36, 61] Operation: 56+5=61
Exploring Operation: 36-5=31, Resulting Numbers: [56, 31]
Generated Node #0,3,1: 77:[56, 31] Operation: 36-5=31
Exploring Operation: 56-36=20, Resulting Numbers: [5, 20]
Generated Node #0,3,2: 77:[5, 20] Operation: 56-36=20
Exploring Operation: 56+36=92, Resulting Numbers: [5, 92]
Generated Node #0,3,3: 77:[5, 92] Operation: 56+36=92
Moving to Node #0,2
Current State: 77:[56, 84, 53], Operations: ['89-36=53']
Exploring Operation: 56+53=109, Resulting Numbers: [84, 109]
Generated Node #0,2,0: 77:[84, 109] Operation: 56+53=109
Exploring Operation: 56-53=3, Resulting Numbers: [84, 3]
Generated Node #0,2,1: 77:[84, 3] Operation: 56-53=3
Exploring Operation: 84-56=28, Resulting Numbers: [53, 28]
Generated Node #0,2,2: 77:[53, 28] Operation: 84-56=28
Exploring Operation: 84-53=31, Resulting Numbers: [56, 31]
Generated Node #0,2,3: 77:[56, 31] Operation: 84-53=31
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[84, 3], Operations: ['89-36=53', '56-53=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,77 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,77 unequal: No Solution
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,77 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,77 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 #0,2,0
Current State: 77:[84, 109], Operations: ['89-36=53', '56+53=109']
Exploring Operation: 84*109=9156, Resulting Numbers: [9156]
9156,77 unequal: No Solution
Exploring Operation: 84+109=193, Resulting Numbers: [193]
193,77 unequal: No Solution
Exploring Operation: 109-84=25, Resulting Numbers: [25]
25,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[53, 28], Operations: ['89-36=53', '84-56=28']
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,77 unequal: No Solution
Exploring Operation: 53*28=1484, Resulting Numbers: [1484]
1484,77 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,77 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 #0,2,3
Current State: 77:[56, 31], Operations: ['89-36=53', '84-53=31']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 56*31=1736, Resulting Numbers: [1736]
1736,77 unequal: No Solution
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 77:[84, 3], Operations: ['56+36=92', '92-89=3']
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,77 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,77 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,77 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[5, 20], Operations: ['89-84=5', '56-36=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,77 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[89, 8], Operations: ['56+36=92', '92-84=8']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,77 unequal: No Solution
Exploring Operation: 89*8=712, Resulting Numbers: [712]
712,77 unequal: No Solution
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[92, 5], Operations: ['56+36=92', '89-84=5']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,77 unequal: No Solution
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,77 unequal: No Solution
Exploring Operation: 92*5=460, Resulting Numbers: [460]
460,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[5, 92], Operations: ['89-84=5', '56+36=92']
Exploring Operation: 5*92=460, Resulting Numbers: [460]
460,77 unequal: No Solution
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,77 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,77 unequal: No Solution
Moving to Node #0,3,1
Current State: 77:[56, 31], Operations: ['89-84=5', '36-5=31']
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,77 unequal: No Solution
Exploring Operation: 56*31=1736, Resulting Numbers: [1736]
1736,77 unequal: No Solution
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[36, 61], Operations: ['89-84=5', '56+5=61']
Exploring Operation: 36*61=2196, Resulting Numbers: [2196]
2196,77 unequal: No Solution
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,77 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[92, 173], Operations: ['56+36=92', '89+84=173']
Exploring Operation: 173-92=81, Resulting Numbers: [81]
81,77 unequal: No Solution
Exploring Operation: 92*173=15916, Resulting Numbers: [15916]
15916,77 unequal: No Solution
Exploring Operation: 92+173=265, Resulting Numbers: [265]
265,77 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
84,
2,
13,
7
] | 32 |
[
"84-13=71",
"71-7=64",
"64/2=32"
] |
Current State: 32:[84, 2, 13, 7], Operations: []
Exploring Operation: 84-13=71, Resulting Numbers: [2, 7, 71]
Generated Node #2: [2, 7, 71] from Operation: 84-13=71
Current State: 32:[2, 7, 71], Operations: ['84-13=71']
Exploring Operation: 71-7=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 71-7=64
Current State: 32:[2, 64], Operations: ['84-13=71', '71-7=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[84, 2, 13, 7], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [2, 13, 12]
Generated Node #0,0: 32:[2, 13, 12] Operation: 84/7=12
Exploring Operation: 84-13=71, Resulting Numbers: [2, 7, 71]
Generated Node #0,1: 32:[2, 7, 71] Operation: 84-13=71
Exploring Operation: 84/2=42, Resulting Numbers: [13, 7, 42]
Generated Node #0,2: 32:[13, 7, 42] Operation: 84/2=42
Moving to Node #0,0
Current State: 32:[2, 13, 12], Operations: ['84/7=12']
Exploring Operation: 2+12=14, Resulting Numbers: [13, 14]
Generated Node #0,0,0: 32:[13, 14] Operation: 2+12=14
Exploring Operation: 13-12=1, Resulting Numbers: [2, 1]
Generated Node #0,0,1: 32:[2, 1] Operation: 13-12=1
Exploring Operation: 2+13=15, Resulting Numbers: [12, 15]
Generated Node #0,0,2: 32:[12, 15] Operation: 2+13=15
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[2, 1], Operations: ['84/7=12', '13-12=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[13, 14], Operations: ['84/7=12', '2+12=14']
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,32 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[12, 15], Operations: ['84/7=12', '2+13=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,32 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 32:[13, 7, 42], Operations: ['84/2=42']
Exploring Operation: 42-7=35, Resulting Numbers: [13, 35]
Generated Node #0,2,0: 32:[13, 35] Operation: 42-7=35
Exploring Operation: 42/7=6, Resulting Numbers: [13, 6]
Generated Node #0,2,1: 32:[13, 6] Operation: 42/7=6
Exploring Operation: 42-13=29, Resulting Numbers: [7, 29]
Generated Node #0,2,2: 32:[7, 29] Operation: 42-13=29
Moving to Node #0,1
Current State: 32:[2, 7, 71], Operations: ['84-13=71']
Exploring Operation: 71-2=69, Resulting Numbers: [7, 69]
Generated Node #0,1,0: 32:[7, 69] Operation: 71-2=69
Exploring Operation: 71-7=64, Resulting Numbers: [2, 64]
Generated Node #0,1,1: 32:[2, 64] Operation: 71-7=64
Exploring Operation: 2+7=9, Resulting Numbers: [71, 9]
Generated Node #0,1,2: 32:[71, 9] Operation: 2+7=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[2, 64], Operations: ['84-13=71', '71-7=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[84, 2, 13, 7], Operations: []
Exploring Operation: 84-13=71, Resulting Numbers: [2, 7, 71]
Generated Node #0,1: 32:[2, 7, 71] Operation: 84-13=71
Moving to Node #0,1
Current State: 32:[2, 7, 71], Operations: ['84-13=71']
Exploring Operation: 71-7=64, Resulting Numbers: [2, 64]
Generated Node #0,1,1: 32:[2, 64] Operation: 71-7=64
Moving to Node #0,1,1
Current State: 32:[2, 64], Operations: ['84-13=71', '71-7=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 |
hs_3
|
sum_heuristic
|
[
53,
51,
58,
60
] | 45 |
[
"58-53=5",
"60-51=9",
"5*9=45"
] |
Current State: 45:[53, 51, 58, 60], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [51, 60, 5]
Generated Node #2: [51, 60, 5] from Operation: 58-53=5
Current State: 45:[51, 60, 5], Operations: ['58-53=5']
Exploring Operation: 60-51=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 60-51=9
Current State: 45:[5, 9], Operations: ['58-53=5', '60-51=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
Current State: 45:[53, 51, 58, 60], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [51, 60, 5]
Generated Node #0,0: 45:[51, 60, 5] Operation: 58-53=5
Exploring Operation: 60-53=7, Resulting Numbers: [51, 58, 7]
Generated Node #0,1: 45:[51, 58, 7] Operation: 60-53=7
Exploring Operation: 60-51=9, Resulting Numbers: [53, 58, 9]
Generated Node #0,2: 45:[53, 58, 9] Operation: 60-51=9
Exploring Operation: 60-58=2, Resulting Numbers: [53, 51, 2]
Generated Node #0,3: 45:[53, 51, 2] Operation: 60-58=2
Moving to Node #0,3
Current State: 45:[53, 51, 2], Operations: ['60-58=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51, 51]
Generated Node #0,3,0: 45:[51, 51] Operation: 53-2=51
Exploring Operation: 53-51=2, Resulting Numbers: [2, 2]
Generated Node #0,3,1: 45:[2, 2] Operation: 53-51=2
Exploring Operation: 51-2=49, Resulting Numbers: [53, 49]
Generated Node #0,3,2: 45:[53, 49] Operation: 51-2=49
Exploring Operation: 53+2=55, Resulting Numbers: [51, 55]
Generated Node #0,3,3: 45:[51, 55] Operation: 53+2=55
Moving to Node #0,1
Current State: 45:[51, 58, 7], Operations: ['60-53=7']
Exploring Operation: 51+7=58, Resulting Numbers: [58, 58]
Generated Node #0,1,0: 45:[58, 58] Operation: 51+7=58
Exploring Operation: 58-7=51, Resulting Numbers: [51, 51]
Generated Node #0,1,1: 45:[51, 51] Operation: 58-7=51
Exploring Operation: 58-51=7, Resulting Numbers: [7, 7]
Generated Node #0,1,2: 45:[7, 7] Operation: 58-51=7
Exploring Operation: 51-7=44, Resulting Numbers: [58, 44]
Generated Node #0,1,3: 45:[58, 44] Operation: 51-7=44
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[7, 7], Operations: ['60-53=7', '58-51=7']
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,45 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,45 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[51, 51], Operations: ['60-53=7', '58-7=51']
Exploring Operation: 51*51=2601, Resulting Numbers: [2601]
2601,45 unequal: No Solution
Exploring Operation: 51+51=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 51/51=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 51-51=0, Resulting Numbers: [0]
0,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 45:[58, 44], Operations: ['60-53=7', '51-7=44']
Exploring Operation: 58+44=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 58*44=2552, Resulting Numbers: [2552]
2552,45 unequal: No Solution
Exploring Operation: 58-44=14, Resulting Numbers: [14]
14,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 45:[58, 58], Operations: ['60-53=7', '51+7=58']
Exploring Operation: 58-58=0, Resulting Numbers: [0]
0,45 unequal: No Solution
Exploring Operation: 58/58=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 58+58=116, Resulting Numbers: [116]
116,45 unequal: No Solution
Exploring Operation: 58*58=3364, Resulting Numbers: [3364]
3364,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 45:[51, 60, 5], Operations: ['58-53=5']
Exploring Operation: 60-51=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 45:[5, 9] Operation: 60-51=9
Exploring Operation: 60/5=12, Resulting Numbers: [51, 12]
Generated Node #0,0,1: 45:[51, 12] Operation: 60/5=12
Exploring Operation: 51-5=46, Resulting Numbers: [60, 46]
Generated Node #0,0,2: 45:[60, 46] Operation: 51-5=46
Exploring Operation: 60-5=55, Resulting Numbers: [51, 55]
Generated Node #0,0,3: 45:[51, 55] Operation: 60-5=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[5, 9], Operations: ['58-53=5', '60-51=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[53, 51, 58, 60], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [51, 60, 5]
Generated Node #0,0: 45:[51, 60, 5] Operation: 58-53=5
Moving to Node #0,0
Current State: 45:[51, 60, 5], Operations: ['58-53=5']
Exploring Operation: 60-51=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 45:[5, 9] Operation: 60-51=9
Moving to Node #0,0,0
Current State: 45:[5, 9], Operations: ['58-53=5', '60-51=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 |
hs_4
|
mult_heuristic
|
[
35,
63,
42,
51
] | 85 |
[
"35*51=1785",
"63-42=21",
"1785/21=85"
] |
Current State: 85:[35, 63, 42, 51], Operations: []
Exploring Operation: 35*51=1785, Resulting Numbers: [63, 42, 1785]
Generated Node #2: [63, 42, 1785] from Operation: 35*51=1785
Current State: 85:[63, 42, 1785], Operations: ['35*51=1785']
Exploring Operation: 63-42=21, Resulting Numbers: [1785, 21]
Generated Node #3: [1785, 21] from Operation: 63-42=21
Current State: 85:[1785, 21], Operations: ['35*51=1785', '63-42=21']
Exploring Operation: 1785/21=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
Current State: 85:[35, 63, 42, 51], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [35, 63, 9]
Generated Node #0,0: 85:[35, 63, 9] Operation: 51-42=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[35, 63, 9], Operations: ['51-42=9']
Exploring Operation: 63-35=28, Resulting Numbers: [9, 28]
Generated Node #0,0,0: 85:[9, 28] Operation: 63-35=28
Moving to Node #0,0,0
Current State: 85:[9, 28], Operations: ['51-42=9', '63-35=28']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
40,
78,
88,
24
] | 54 |
[
"40+78=118",
"88-24=64",
"118-64=54"
] |
Current State: 54:[40, 78, 88, 24], Operations: []
Exploring Operation: 40+78=118, Resulting Numbers: [88, 24, 118]
Generated Node #2: [88, 24, 118] from Operation: 40+78=118
Current State: 54:[88, 24, 118], Operations: ['40+78=118']
Exploring Operation: 88-24=64, Resulting Numbers: [118, 64]
Generated Node #3: [118, 64] from Operation: 88-24=64
Current State: 54:[118, 64], Operations: ['40+78=118', '88-24=64']
Exploring Operation: 118-64=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[40, 78, 88, 24], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [40, 78, 64]
Generated Node #0,0: 54:[40, 78, 64] Operation: 88-24=64
Exploring Operation: 88-78=10, Resulting Numbers: [40, 24, 10]
Generated Node #0,1: 54:[40, 24, 10] Operation: 88-78=10
Exploring Operation: 78-24=54, Resulting Numbers: [40, 88, 54]
Generated Node #0,2: 54:[40, 88, 54] Operation: 78-24=54
Exploring Operation: 88-40=48, Resulting Numbers: [78, 24, 48]
Generated Node #0,3: 54:[78, 24, 48] Operation: 88-40=48
Moving to Node #0,1
Current State: 54:[40, 24, 10], Operations: ['88-78=10']
Exploring Operation: 40+10=50, Resulting Numbers: [24, 50]
Generated Node #0,1,0: 54:[24, 50] Operation: 40+10=50
Exploring Operation: 40-10=30, Resulting Numbers: [24, 30]
Generated Node #0,1,1: 54:[24, 30] Operation: 40-10=30
Exploring Operation: 40-24=16, Resulting Numbers: [10, 16]
Generated Node #0,1,2: 54:[10, 16] Operation: 40-24=16
Exploring Operation: 40/10=4, Resulting Numbers: [24, 4]
Generated Node #0,1,3: 54:[24, 4] Operation: 40/10=4
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 54:[10, 16], Operations: ['88-78=10', '40-24=16']
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,54 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 54:[24, 4], Operations: ['88-78=10', '40/10=4']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[24, 30], Operations: ['88-78=10', '40-10=30']
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[40, 78, 88, 24], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [40, 24, 10]
Generated Node #0,1: 54:[40, 24, 10] Operation: 88-78=10
Moving to Node #0,1
Current State: 54:[40, 24, 10], Operations: ['88-78=10']
Exploring Operation: 40-10=30, Resulting Numbers: [24, 30]
Generated Node #0,1,1: 54:[24, 30] Operation: 40-10=30
Moving to Node #0,1,1
Current State: 54:[24, 30], Operations: ['88-78=10', '40-10=30']
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 |
hs_4
|
mult_heuristic
|
[
25,
52,
76,
93
] | 93 |
[
"25+52=77",
"77-76=1",
"93*1=93"
] |
Current State: 93:[25, 52, 76, 93], Operations: []
Exploring Operation: 25+52=77, Resulting Numbers: [76, 93, 77]
Generated Node #2: [76, 93, 77] from Operation: 25+52=77
Current State: 93:[76, 93, 77], Operations: ['25+52=77']
Exploring Operation: 77-76=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 77-76=1
Current State: 93:[93, 1], Operations: ['25+52=77', '77-76=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[25, 52, 76, 93], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [25, 93, 24]
Generated Node #0,0: 93:[25, 93, 24] Operation: 76-52=24
Exploring Operation: 25+76=101, Resulting Numbers: [52, 93, 101]
Generated Node #0,1: 93:[52, 93, 101] Operation: 25+76=101
Exploring Operation: 93-52=41, Resulting Numbers: [25, 76, 41]
Generated Node #0,2: 93:[25, 76, 41] Operation: 93-52=41
Exploring Operation: 52-25=27, Resulting Numbers: [76, 93, 27]
Generated Node #0,3: 93:[76, 93, 27] Operation: 52-25=27
Exploring Operation: 25+52=77, Resulting Numbers: [76, 93, 77]
Generated Node #0,4: 93:[76, 93, 77] Operation: 25+52=77
Moving to Node #0,0
Current State: 93:[25, 93, 24], Operations: ['76-52=24']
Exploring Operation: 93-24=69, Resulting Numbers: [25, 69]
Generated Node #0,0,0: 93:[25, 69] Operation: 93-24=69
Exploring Operation: 25-24=1, Resulting Numbers: [93, 1]
Generated Node #0,0,1: 93:[93, 1] Operation: 25-24=1
Exploring Operation: 25+24=49, Resulting Numbers: [93, 49]
Generated Node #0,0,2: 93:[93, 49] Operation: 25+24=49
Exploring Operation: 25+93=118, Resulting Numbers: [24, 118]
Generated Node #0,0,3: 93:[24, 118] Operation: 25+93=118
Exploring Operation: 93+24=117, Resulting Numbers: [25, 117]
Generated Node #0,0,4: 93:[25, 117] Operation: 93+24=117
Moving to Node #0,3
Current State: 93:[76, 93, 27], Operations: ['52-25=27']
Exploring Operation: 76-27=49, Resulting Numbers: [93, 49]
Generated Node #0,3,0: 93:[93, 49] Operation: 76-27=49
Exploring Operation: 93-76=17, Resulting Numbers: [27, 17]
Generated Node #0,3,1: 93:[27, 17] Operation: 93-76=17
Exploring Operation: 93+27=120, Resulting Numbers: [76, 120]
Generated Node #0,3,2: 93:[76, 120] Operation: 93+27=120
Exploring Operation: 76+27=103, Resulting Numbers: [93, 103]
Generated Node #0,3,3: 93:[93, 103] Operation: 76+27=103
Exploring Operation: 93-27=66, Resulting Numbers: [76, 66]
Generated Node #0,3,4: 93:[76, 66] Operation: 93-27=66
Moving to Node #0,1
Current State: 93:[52, 93, 101], Operations: ['25+76=101']
Exploring Operation: 101-93=8, Resulting Numbers: [52, 8]
Generated Node #0,1,0: 93:[52, 8] Operation: 101-93=8
Exploring Operation: 101-52=49, Resulting Numbers: [93, 49]
Generated Node #0,1,1: 93:[93, 49] Operation: 101-52=49
Exploring Operation: 52+93=145, Resulting Numbers: [101, 145]
Generated Node #0,1,2: 93:[101, 145] Operation: 52+93=145
Exploring Operation: 52+101=153, Resulting Numbers: [93, 153]
Generated Node #0,1,3: 93:[93, 153] Operation: 52+101=153
Exploring Operation: 93-52=41, Resulting Numbers: [101, 41]
Generated Node #0,1,4: 93:[101, 41] Operation: 93-52=41
Moving to Node #0,2
Current State: 93:[25, 76, 41], Operations: ['93-52=41']
Exploring Operation: 41-25=16, Resulting Numbers: [76, 16]
Generated Node #0,2,0: 93:[76, 16] Operation: 41-25=16
Exploring Operation: 76+41=117, Resulting Numbers: [25, 117]
Generated Node #0,2,1: 93:[25, 117] Operation: 76+41=117
Exploring Operation: 76-25=51, Resulting Numbers: [41, 51]
Generated Node #0,2,2: 93:[41, 51] Operation: 76-25=51
Exploring Operation: 76-41=35, Resulting Numbers: [25, 35]
Generated Node #0,2,3: 93:[25, 35] Operation: 76-41=35
Exploring Operation: 25+76=101, Resulting Numbers: [41, 101]
Generated Node #0,2,4: 93:[41, 101] Operation: 25+76=101
Moving to Node #0,4
Current State: 93:[76, 93, 77], Operations: ['25+52=77']
Exploring Operation: 93-77=16, Resulting Numbers: [76, 16]
Generated Node #0,4,0: 93:[76, 16] Operation: 93-77=16
Exploring Operation: 77-76=1, Resulting Numbers: [93, 1]
Generated Node #0,4,1: 93:[93, 1] Operation: 77-76=1
Exploring Operation: 76+93=169, Resulting Numbers: [77, 169]
Generated Node #0,4,2: 93:[77, 169] Operation: 76+93=169
Exploring Operation: 93-76=17, Resulting Numbers: [77, 17]
Generated Node #0,4,3: 93:[77, 17] Operation: 93-76=17
Exploring Operation: 76+77=153, Resulting Numbers: [93, 153]
Generated Node #0,4,4: 93:[93, 153] Operation: 76+77=153
Moving to Node #0,0,1
Current State: 93:[93, 1], Operations: ['76-52=24', '25-24=1']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[25, 52, 76, 93], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [25, 93, 24]
Generated Node #0,0: 93:[25, 93, 24] Operation: 76-52=24
Moving to Node #0,0
Current State: 93:[25, 93, 24], Operations: ['76-52=24']
Exploring Operation: 25-24=1, Resulting Numbers: [93, 1]
Generated Node #0,0,1: 93:[93, 1] Operation: 25-24=1
Moving to Node #0,0,1
Current State: 93:[93, 1], Operations: ['76-52=24', '25-24=1']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.969618 |
hs_5
|
sum_heuristic
|
[
25,
9,
91,
97
] | 75 |
[
"9+91=100",
"100-97=3",
"25*3=75"
] |
Current State: 75:[25, 9, 91, 97], Operations: []
Exploring Operation: 9+91=100, Resulting Numbers: [25, 97, 100]
Generated Node #2: [25, 97, 100] from Operation: 9+91=100
Current State: 75:[25, 97, 100], Operations: ['9+91=100']
Exploring Operation: 100-97=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 100-97=3
Current State: 75:[25, 3], Operations: ['9+91=100', '100-97=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[25, 9, 91, 97], Operations: []
Exploring Operation: 97-25=72, Resulting Numbers: [9, 91, 72]
Generated Node #0,0: 75:[9, 91, 72] Operation: 97-25=72
Exploring Operation: 97-91=6, Resulting Numbers: [25, 9, 6]
Generated Node #0,1: 75:[25, 9, 6] Operation: 97-91=6
Exploring Operation: 91-9=82, Resulting Numbers: [25, 97, 82]
Generated Node #0,2: 75:[25, 97, 82] Operation: 91-9=82
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[25, 9, 6], Operations: ['97-91=6']
Exploring Operation: 25-9=16, Resulting Numbers: [6, 16]
Generated Node #0,1,0: 75:[6, 16] Operation: 25-9=16
Exploring Operation: 9+6=15, Resulting Numbers: [25, 15]
Generated Node #0,1,1: 75:[25, 15] Operation: 9+6=15
Exploring Operation: 9-6=3, Resulting Numbers: [25, 3]
Generated Node #0,1,2: 75:[25, 3] Operation: 9-6=3
Moving to Node #0,1,1
Current State: 75:[25, 15], Operations: ['97-91=6', '9+6=15']
Exploring Operation: 25*15=375, Resulting Numbers: [375]
375,75 unequal: No Solution
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[25, 3], Operations: ['97-91=6', '9-6=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[25, 9, 91, 97], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [25, 9, 6]
Generated Node #0,1: 75:[25, 9, 6] Operation: 97-91=6
Moving to Node #0,1
Current State: 75:[25, 9, 6], Operations: ['97-91=6']
Exploring Operation: 9-6=3, Resulting Numbers: [25, 3]
Generated Node #0,1,2: 75:[25, 3] Operation: 9-6=3
Moving to Node #0,1,2
Current State: 75:[25, 3], Operations: ['97-91=6', '9-6=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 |
hs_3
|
sum_heuristic
|
[
59,
3,
24,
21
] | 65 |
[
"59+3=62",
"24-21=3",
"62+3=65"
] |
Current State: 65:[59, 3, 24, 21], Operations: []
Exploring Operation: 59+3=62, Resulting Numbers: [24, 21, 62]
Generated Node #2: [24, 21, 62] from Operation: 59+3=62
Current State: 65:[24, 21, 62], Operations: ['59+3=62']
Exploring Operation: 24-21=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 24-21=3
Current State: 65:[62, 3], Operations: ['59+3=62', '24-21=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[59, 3, 24, 21], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [59, 21, 8]
Generated Node #0,0: 65:[59, 21, 8] Operation: 24/3=8
Exploring Operation: 24-21=3, Resulting Numbers: [59, 3, 3]
Generated Node #0,1: 65:[59, 3, 3] Operation: 24-21=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[59, 3, 3], Operations: ['24-21=3']
Exploring Operation: 59+3=62, Resulting Numbers: [3, 62]
Generated Node #0,1,0: 65:[3, 62] Operation: 59+3=62
Exploring Operation: 59+3=62, Resulting Numbers: [3, 62]
Generated Node #0,1,1: 65:[3, 62] Operation: 59+3=62
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[3, 62], Operations: ['24-21=3', '59+3=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[59, 3, 24, 21], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [59, 3, 3]
Generated Node #0,1: 65:[59, 3, 3] Operation: 24-21=3
Moving to Node #0,1
Current State: 65:[59, 3, 3], Operations: ['24-21=3']
Exploring Operation: 59+3=62, Resulting Numbers: [3, 62]
Generated Node #0,1,0: 65:[3, 62] Operation: 59+3=62
Moving to Node #0,1,0
Current State: 65:[3, 62], Operations: ['24-21=3', '59+3=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
sum_heuristic
|
[
84,
86,
7,
83
] | 69 |
[
"86-84=2",
"7*2=14",
"83-14=69"
] |
Current State: 69:[84, 86, 7, 83], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [7, 83, 2]
Generated Node #2: [7, 83, 2] from Operation: 86-84=2
Current State: 69:[7, 83, 2], Operations: ['86-84=2']
Exploring Operation: 7*2=14, Resulting Numbers: [83, 14]
Generated Node #3: [83, 14] from Operation: 7*2=14
Current State: 69:[83, 14], Operations: ['86-84=2', '7*2=14']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[84, 86, 7, 83], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [7, 83, 2]
Generated Node #0,0: 69:[7, 83, 2] Operation: 86-84=2
Exploring Operation: 84-7=77, Resulting Numbers: [86, 83, 77]
Generated Node #0,1: 69:[86, 83, 77] Operation: 84-7=77
Exploring Operation: 84-83=1, Resulting Numbers: [86, 7, 1]
Generated Node #0,2: 69:[86, 7, 1] Operation: 84-83=1
Exploring Operation: 86-83=3, Resulting Numbers: [84, 7, 3]
Generated Node #0,3: 69:[84, 7, 3] Operation: 86-83=3
Moving to Node #0,0
Current State: 69:[7, 83, 2], Operations: ['86-84=2']
Exploring Operation: 7-2=5, Resulting Numbers: [83, 5]
Generated Node #0,0,0: 69:[83, 5] Operation: 7-2=5
Exploring Operation: 83-2=81, Resulting Numbers: [7, 81]
Generated Node #0,0,1: 69:[7, 81] Operation: 83-2=81
Exploring Operation: 7+2=9, Resulting Numbers: [83, 9]
Generated Node #0,0,2: 69:[83, 9] Operation: 7+2=9
Exploring Operation: 83-7=76, Resulting Numbers: [2, 76]
Generated Node #0,0,3: 69:[2, 76] Operation: 83-7=76
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 69:[2, 76], Operations: ['86-84=2', '83-7=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,69 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,69 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,69 unequal: No Solution
No 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: 69:[83, 5], Operations: ['86-84=2', '7-2=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,69 unequal: No Solution
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,69 unequal: No Solution
Exploring Operation: 83*5=415, Resulting Numbers: [415]
415,69 unequal: No Solution
No 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: 69:[7, 81], Operations: ['86-84=2', '83-2=81']
Exploring Operation: 7+81=88, Resulting Numbers: [88]
88,69 unequal: No Solution
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,69 unequal: No Solution
Exploring Operation: 7*81=567, Resulting Numbers: [567]
567,69 unequal: No Solution
No 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: 69:[83, 9], Operations: ['86-84=2', '7+2=9']
Exploring Operation: 83*9=747, Resulting Numbers: [747]
747,69 unequal: No Solution
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,69 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: 69:[84, 7, 3], Operations: ['86-83=3']
Exploring Operation: 84-7=77, Resulting Numbers: [3, 77]
Generated Node #0,3,0: 69:[3, 77] Operation: 84-7=77
Exploring Operation: 84-3=81, Resulting Numbers: [7, 81]
Generated Node #0,3,1: 69:[7, 81] Operation: 84-3=81
Exploring Operation: 84/7=12, Resulting Numbers: [3, 12]
Generated Node #0,3,2: 69:[3, 12] Operation: 84/7=12
Exploring Operation: 84/3=28, Resulting Numbers: [7, 28]
Generated Node #0,3,3: 69:[7, 28] Operation: 84/3=28
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 69:[3, 77], Operations: ['86-83=3', '84-7=77']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,69 unequal: No Solution
Exploring Operation: 3*77=231, Resulting Numbers: [231]
231,69 unequal: No Solution
Exploring Operation: 3+77=80, Resulting Numbers: [80]
80,69 unequal: No Solution
No 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: 69:[3, 12], Operations: ['86-83=3', '84/7=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,69 unequal: No Solution
No 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: 69:[7, 28], Operations: ['86-83=3', '84/3=28']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,69 unequal: No Solution
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,69 unequal: No Solution
No 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: 69:[7, 81], Operations: ['86-83=3', '84-3=81']
Exploring Operation: 7+81=88, Resulting Numbers: [88]
88,69 unequal: No Solution
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,69 unequal: No Solution
Exploring Operation: 7*81=567, Resulting Numbers: [567]
567,69 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: 69:[86, 7, 1], Operations: ['84-83=1']
Exploring Operation: 7-1=6, Resulting Numbers: [86, 6]
Generated Node #0,2,0: 69:[86, 6] Operation: 7-1=6
Exploring Operation: 86-7=79, Resulting Numbers: [1, 79]
Generated Node #0,2,1: 69:[1, 79] Operation: 86-7=79
Exploring Operation: 86*1=86, Resulting Numbers: [7, 86]
Generated Node #0,2,2: 69:[7, 86] Operation: 86*1=86
Exploring Operation: 86-1=85, Resulting Numbers: [7, 85]
Generated Node #0,2,3: 69:[7, 85] Operation: 86-1=85
Moving to Node #0,1
Current State: 69:[86, 83, 77], Operations: ['84-7=77']
Exploring Operation: 86-83=3, Resulting Numbers: [77, 3]
Generated Node #0,1,0: 69:[77, 3] Operation: 86-83=3
Exploring Operation: 83-77=6, Resulting Numbers: [86, 6]
Generated Node #0,1,1: 69:[86, 6] Operation: 83-77=6
Exploring Operation: 86-77=9, Resulting Numbers: [83, 9]
Generated Node #0,1,2: 69:[83, 9] Operation: 86-77=9
Exploring Operation: 86+83=169, Resulting Numbers: [77, 169]
Generated Node #0,1,3: 69:[77, 169] Operation: 86+83=169
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 69:[77, 3], Operations: ['84-7=77', '86-83=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,69 unequal: No Solution
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,69 unequal: No Solution
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,69 unequal: No Solution
No 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: 69:[86, 6], Operations: ['84-7=77', '83-77=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,69 unequal: No Solution
Exploring Operation: 86*6=516, Resulting Numbers: [516]
516,69 unequal: No Solution
No 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: 69:[83, 9], Operations: ['84-7=77', '86-77=9']
Exploring Operation: 83*9=747, Resulting Numbers: [747]
747,69 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,69 unequal: No Solution
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,69 unequal: No Solution
No 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: 69:[77, 169], Operations: ['84-7=77', '86+83=169']
Exploring Operation: 77*169=13013, Resulting Numbers: [13013]
13013,69 unequal: No Solution
Exploring Operation: 169-77=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 77+169=246, Resulting Numbers: [246]
246,69 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: 69:[1, 79], Operations: ['84-83=1', '86-7=79']
Exploring Operation: 1*79=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 1+79=80, Resulting Numbers: [80]
80,69 unequal: No Solution
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,69 unequal: No Solution
Moving to Node #0,2,3
Current State: 69:[7, 85], Operations: ['84-83=1', '86-1=85']
Exploring Operation: 7*85=595, Resulting Numbers: [595]
595,69 unequal: No Solution
Exploring Operation: 7+85=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[86, 6], Operations: ['84-83=1', '7-1=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,69 unequal: No Solution
Exploring Operation: 86*6=516, Resulting Numbers: [516]
516,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[7, 86], Operations: ['84-83=1', '86*1=86']
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 7+86=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 7*86=602, Resulting Numbers: [602]
602,69 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
37,
46,
51,
16
] | 93 |
[
"46-37=9",
"16*9=144",
"144-51=93"
] |
Current State: 93:[37, 46, 51, 16], Operations: []
Exploring Operation: 46-37=9, Resulting Numbers: [51, 16, 9]
Generated Node #2: [51, 16, 9] from Operation: 46-37=9
Current State: 93:[51, 16, 9], Operations: ['46-37=9']
Exploring Operation: 16*9=144, Resulting Numbers: [51, 144]
Generated Node #3: [51, 144] from Operation: 16*9=144
Current State: 93:[51, 144], Operations: ['46-37=9', '16*9=144']
Exploring Operation: 144-51=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[37, 46, 51, 16], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [37, 16, 5]
Generated Node #0,0: 93:[37, 16, 5] Operation: 51-46=5
Exploring Operation: 51-16=35, Resulting Numbers: [37, 46, 35]
Generated Node #0,1: 93:[37, 46, 35] Operation: 51-16=35
Exploring Operation: 46+51=97, Resulting Numbers: [37, 16, 97]
Generated Node #0,2: 93:[37, 16, 97] Operation: 46+51=97
Exploring Operation: 46-16=30, Resulting Numbers: [37, 51, 30]
Generated Node #0,3: 93:[37, 51, 30] Operation: 46-16=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[37, 16, 5], Operations: ['51-46=5']
Exploring Operation: 16+5=21, Resulting Numbers: [37, 21]
Generated Node #0,0,0: 93:[37, 21] Operation: 16+5=21
Exploring Operation: 37-5=32, Resulting Numbers: [16, 32]
Generated Node #0,0,1: 93:[16, 32] Operation: 37-5=32
Exploring Operation: 16-5=11, Resulting Numbers: [37, 11]
Generated Node #0,0,2: 93:[37, 11] Operation: 16-5=11
Exploring Operation: 37-16=21, Resulting Numbers: [5, 21]
Generated Node #0,0,3: 93:[5, 21] Operation: 37-16=21
Moving to Node #0,0,3
Current State: 93:[5, 21], Operations: ['51-46=5', '37-16=21']
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,93 unequal: No Solution
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[37, 11], Operations: ['51-46=5', '16-5=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[16, 32], Operations: ['51-46=5', '37-5=32']
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[37, 21], Operations: ['51-46=5', '16+5=21']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[37, 16, 97], Operations: ['46+51=97']
Exploring Operation: 37-16=21, Resulting Numbers: [97, 21]
Generated Node #0,2,0: 93:[97, 21] Operation: 37-16=21
Exploring Operation: 97-16=81, Resulting Numbers: [37, 81]
Generated Node #0,2,1: 93:[37, 81] Operation: 97-16=81
Exploring Operation: 37+16=53, Resulting Numbers: [97, 53]
Generated Node #0,2,2: 93:[97, 53] Operation: 37+16=53
Exploring Operation: 16+97=113, Resulting Numbers: [37, 113]
Generated Node #0,2,3: 93:[37, 113] Operation: 16+97=113
Moving to Node #0,2,0
Current State: 93:[97, 21], Operations: ['46+51=97', '37-16=21']
Exploring Operation: 97-21=76, Resulting Numbers: [76]
76,93 unequal: No Solution
Exploring Operation: 97+21=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 97*21=2037, Resulting Numbers: [2037]
2037,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[37, 81], Operations: ['46+51=97', '97-16=81']
Exploring Operation: 37*81=2997, Resulting Numbers: [2997]
2997,93 unequal: No Solution
Exploring Operation: 37+81=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 81-37=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Moving to Node #0,2,3
Current State: 93:[37, 113], Operations: ['46+51=97', '16+97=113']
Exploring Operation: 37*113=4181, Resulting Numbers: [4181]
4181,93 unequal: No Solution
Exploring Operation: 37+113=150, Resulting Numbers: [150]
150,93 unequal: No Solution
Exploring Operation: 113-37=76, Resulting Numbers: [76]
76,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[97, 53], Operations: ['46+51=97', '37+16=53']
Exploring Operation: 97+53=150, Resulting Numbers: [150]
150,93 unequal: No Solution
Exploring Operation: 97*53=5141, Resulting Numbers: [5141]
5141,93 unequal: No Solution
Exploring Operation: 97-53=44, Resulting Numbers: [44]
44,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[37, 46, 35], Operations: ['51-16=35']
Exploring Operation: 46-37=9, Resulting Numbers: [35, 9]
Generated Node #0,1,0: 93:[35, 9] Operation: 46-37=9
Exploring Operation: 46-35=11, Resulting Numbers: [37, 11]
Generated Node #0,1,1: 93:[37, 11] Operation: 46-35=11
Exploring Operation: 37+46=83, Resulting Numbers: [35, 83]
Generated Node #0,1,2: 93:[35, 83] Operation: 37+46=83
Exploring Operation: 37-35=2, Resulting Numbers: [46, 2]
Generated Node #0,1,3: 93:[46, 2] Operation: 37-35=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[35, 9], Operations: ['51-16=35', '46-37=9']
Exploring Operation: 35+9=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 35*9=315, Resulting Numbers: [315]
315,93 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[37, 11], Operations: ['51-16=35', '46-35=11']
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,93 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[35, 83], Operations: ['51-16=35', '37+46=83']
Exploring Operation: 35+83=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 35*83=2905, Resulting Numbers: [2905]
2905,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 93:[46, 2], Operations: ['51-16=35', '37-35=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,93 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[37, 51, 30], Operations: ['46-16=30']
Exploring Operation: 37+51=88, Resulting Numbers: [30, 88]
Generated Node #0,3,0: 93:[30, 88] Operation: 37+51=88
Exploring Operation: 51-30=21, Resulting Numbers: [37, 21]
Generated Node #0,3,1: 93:[37, 21] Operation: 51-30=21
Exploring Operation: 51-37=14, Resulting Numbers: [30, 14]
Generated Node #0,3,2: 93:[30, 14] Operation: 51-37=14
Exploring Operation: 51+30=81, Resulting Numbers: [37, 81]
Generated Node #0,3,3: 93:[37, 81] Operation: 51+30=81
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 93:[30, 88], Operations: ['46-16=30', '37+51=88']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 30+88=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 30*88=2640, Resulting Numbers: [2640]
2640,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 93:[30, 14], Operations: ['46-16=30', '51-37=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 30*14=420, Resulting Numbers: [420]
420,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 93:[37, 21], Operations: ['46-16=30', '51-30=21']
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,93 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 93:[37, 81], Operations: ['46-16=30', '51+30=81']
Exploring Operation: 37*81=2997, Resulting Numbers: [2997]
2997,93 unequal: No Solution
Exploring Operation: 37+81=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 81-37=44, Resulting Numbers: [44]
44,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
42,
87,
57,
72
] | 30 |
[
"87-42=45",
"72-57=15",
"45-15=30"
] |
Current State: 30:[42, 87, 57, 72], Operations: []
Exploring Operation: 87-42=45, Resulting Numbers: [57, 72, 45]
Generated Node #2: [57, 72, 45] from Operation: 87-42=45
Current State: 30:[57, 72, 45], Operations: ['87-42=45']
Exploring Operation: 72-57=15, Resulting Numbers: [45, 15]
Generated Node #3: [45, 15] from Operation: 72-57=15
Current State: 30:[45, 15], Operations: ['87-42=45', '72-57=15']
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[42, 87, 57, 72], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [42, 57, 15]
Generated Node #0,0: 30:[42, 57, 15] Operation: 87-72=15
Moving to Node #0,0
Current State: 30:[42, 57, 15], Operations: ['87-72=15']
Exploring Operation: 57-42=15, Resulting Numbers: [15, 15]
Generated Node #0,0,0: 30:[15, 15] Operation: 57-42=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[15, 15], Operations: ['87-72=15', '57-42=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[42, 87, 57, 72], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [42, 57, 15]
Generated Node #0,0: 30:[42, 57, 15] Operation: 87-72=15
Moving to Node #0,0
Current State: 30:[42, 57, 15], Operations: ['87-72=15']
Exploring Operation: 57-42=15, Resulting Numbers: [15, 15]
Generated Node #0,0,0: 30:[15, 15] Operation: 57-42=15
Moving to Node #0,0,0
Current State: 30:[15, 15], Operations: ['87-72=15', '57-42=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
90,
42,
50,
94
] | 47 |
[
"90-42=48",
"50-48=2",
"94/2=47"
] |
Current State: 47:[90, 42, 50, 94], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [50, 94, 48]
Generated Node #2: [50, 94, 48] from Operation: 90-42=48
Current State: 47:[50, 94, 48], Operations: ['90-42=48']
Exploring Operation: 50-48=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 50-48=2
Current State: 47:[94, 2], Operations: ['90-42=48', '50-48=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[90, 42, 50, 94], Operations: []
Exploring Operation: 94-50=44, Resulting Numbers: [90, 42, 44]
Generated Node #0,0: 47:[90, 42, 44] Operation: 94-50=44
Exploring Operation: 90-42=48, Resulting Numbers: [50, 94, 48]
Generated Node #0,1: 47:[50, 94, 48] Operation: 90-42=48
Exploring Operation: 94-42=52, Resulting Numbers: [90, 50, 52]
Generated Node #0,2: 47:[90, 50, 52] Operation: 94-42=52
Exploring Operation: 94-90=4, Resulting Numbers: [42, 50, 4]
Generated Node #0,3: 47:[42, 50, 4] Operation: 94-90=4
Exploring Operation: 90-50=40, Resulting Numbers: [42, 94, 40]
Generated Node #0,4: 47:[42, 94, 40] Operation: 90-50=40
Moving to Node #0,0
Current State: 47:[90, 42, 44], Operations: ['94-50=44']
Exploring Operation: 44-42=2, Resulting Numbers: [90, 2]
Generated Node #0,0,0: 47:[90, 2] Operation: 44-42=2
Exploring Operation: 90-42=48, Resulting Numbers: [44, 48]
Generated Node #0,0,1: 47:[44, 48] Operation: 90-42=48
Exploring Operation: 42+44=86, Resulting Numbers: [90, 86]
Generated Node #0,0,2: 47:[90, 86] Operation: 42+44=86
Exploring Operation: 90+42=132, Resulting Numbers: [44, 132]
Generated Node #0,0,3: 47:[44, 132] Operation: 90+42=132
Exploring Operation: 90-44=46, Resulting Numbers: [42, 46]
Generated Node #0,0,4: 47:[42, 46] Operation: 90-44=46
Moving to Node #0,2
Current State: 47:[90, 50, 52], Operations: ['94-42=52']
Exploring Operation: 90-50=40, Resulting Numbers: [52, 40]
Generated Node #0,2,0: 47:[52, 40] Operation: 90-50=40
Exploring Operation: 52-50=2, Resulting Numbers: [90, 2]
Generated Node #0,2,1: 47:[90, 2] Operation: 52-50=2
Exploring Operation: 90-52=38, Resulting Numbers: [50, 38]
Generated Node #0,2,2: 47:[50, 38] Operation: 90-52=38
Exploring Operation: 90+50=140, Resulting Numbers: [52, 140]
Generated Node #0,2,3: 47:[52, 140] Operation: 90+50=140
Exploring Operation: 90+52=142, Resulting Numbers: [50, 142]
Generated Node #0,2,4: 47:[50, 142] Operation: 90+52=142
Moving to Node #0,1
Current State: 47:[50, 94, 48], Operations: ['90-42=48']
Exploring Operation: 94-50=44, Resulting Numbers: [48, 44]
Generated Node #0,1,0: 47:[48, 44] Operation: 94-50=44
Exploring Operation: 50+48=98, Resulting Numbers: [94, 98]
Generated Node #0,1,1: 47:[94, 98] Operation: 50+48=98
Exploring Operation: 50-48=2, Resulting Numbers: [94, 2]
Generated Node #0,1,2: 47:[94, 2] Operation: 50-48=2
Exploring Operation: 94-48=46, Resulting Numbers: [50, 46]
Generated Node #0,1,3: 47:[50, 46] Operation: 94-48=46
Exploring Operation: 50+94=144, Resulting Numbers: [48, 144]
Generated Node #0,1,4: 47:[48, 144] Operation: 50+94=144
Moving to Node #0,3
Current State: 47:[42, 50, 4], Operations: ['94-90=4']
Exploring Operation: 50+4=54, Resulting Numbers: [42, 54]
Generated Node #0,3,0: 47:[42, 54] Operation: 50+4=54
Exploring Operation: 42-4=38, Resulting Numbers: [50, 38]
Generated Node #0,3,1: 47:[50, 38] Operation: 42-4=38
Exploring Operation: 42+4=46, Resulting Numbers: [50, 46]
Generated Node #0,3,2: 47:[50, 46] Operation: 42+4=46
Exploring Operation: 50-42=8, Resulting Numbers: [4, 8]
Generated Node #0,3,3: 47:[4, 8] Operation: 50-42=8
Exploring Operation: 50-4=46, Resulting Numbers: [42, 46]
Generated Node #0,3,4: 47:[42, 46] Operation: 50-4=46
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 47:[50, 46], Operations: ['94-90=4', '42+4=46']
Exploring Operation: 50*46=2300, Resulting Numbers: [2300]
2300,47 unequal: No Solution
Exploring Operation: 50+46=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 47:[42, 46], Operations: ['94-90=4', '50-4=46']
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Exploring Operation: 42+46=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 42*46=1932, Resulting Numbers: [1932]
1932,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 47:[42, 54], Operations: ['94-90=4', '50+4=54']
Exploring Operation: 42+54=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 42*54=2268, Resulting Numbers: [2268]
2268,47 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 47:[50, 38], Operations: ['94-90=4', '42-4=38']
Exploring Operation: 50*38=1900, Resulting Numbers: [1900]
1900,47 unequal: No Solution
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 50+38=88, Resulting Numbers: [88]
88,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 47:[4, 8], Operations: ['94-90=4', '50-42=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,47 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 47:[42, 94, 40], Operations: ['90-50=40']
Exploring Operation: 42-40=2, Resulting Numbers: [94, 2]
Generated Node #0,4,0: 47:[94, 2] Operation: 42-40=2
Exploring Operation: 94+40=134, Resulting Numbers: [42, 134]
Generated Node #0,4,1: 47:[42, 134] Operation: 94+40=134
Exploring Operation: 94-40=54, Resulting Numbers: [42, 54]
Generated Node #0,4,2: 47:[42, 54] Operation: 94-40=54
Exploring Operation: 42+40=82, Resulting Numbers: [94, 82]
Generated Node #0,4,3: 47:[94, 82] Operation: 42+40=82
Exploring Operation: 94-42=52, Resulting Numbers: [40, 52]
Generated Node #0,4,4: 47:[40, 52] Operation: 94-42=52
Moving to Node #0,0,1
Current State: 47:[44, 48], Operations: ['94-50=44', '90-42=48']
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 44*48=2112, Resulting Numbers: [2112]
2112,47 unequal: No Solution
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[50, 46], Operations: ['90-42=48', '94-48=46']
Exploring Operation: 50+46=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Exploring Operation: 50*46=2300, Resulting Numbers: [2300]
2300,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[48, 44], Operations: ['90-42=48', '94-50=44']
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 48*44=2112, Resulting Numbers: [2112]
2112,47 unequal: No Solution
Moving to Node #0,0,4
Current State: 47:[42, 46], Operations: ['94-50=44', '90-44=46']
Exploring Operation: 42+46=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 42*46=1932, Resulting Numbers: [1932]
1932,47 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[50, 38], Operations: ['94-42=52', '90-52=38']
Exploring Operation: 50+38=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 50*38=1900, Resulting Numbers: [1900]
1900,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[52, 40], Operations: ['94-42=52', '90-50=40']
Exploring Operation: 52*40=2080, Resulting Numbers: [2080]
2080,47 unequal: No Solution
Exploring Operation: 52+40=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Moving to Node #0,4,2
Current State: 47:[42, 54], Operations: ['90-50=40', '94-40=54']
Exploring Operation: 42*54=2268, Resulting Numbers: [2268]
2268,47 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 42+54=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Moving to Node #0,4,4
Current State: 47:[40, 52], Operations: ['90-50=40', '94-42=52']
Exploring Operation: 40*52=2080, Resulting Numbers: [2080]
2080,47 unequal: No Solution
Exploring Operation: 40+52=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[90, 86], Operations: ['94-50=44', '42+44=86']
Exploring Operation: 90+86=176, Resulting Numbers: [176]
176,47 unequal: No Solution
Exploring Operation: 90*86=7740, Resulting Numbers: [7740]
7740,47 unequal: No Solution
Exploring Operation: 90-86=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Moving to Node #0,4,3
Current State: 47:[94, 82], Operations: ['90-50=40', '42+40=82']
Exploring Operation: 94+82=176, Resulting Numbers: [176]
176,47 unequal: No Solution
Exploring Operation: 94-82=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 94*82=7708, Resulting Numbers: [7708]
7708,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[90, 2], Operations: ['94-42=52', '52-50=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 90*2=180, Resulting Numbers: [180]
180,47 unequal: No Solution
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[44, 132], Operations: ['94-50=44', '90+42=132']
Exploring Operation: 132/44=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Exploring Operation: 44+132=176, Resulting Numbers: [176]
176,47 unequal: No Solution
Exploring Operation: 132-44=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 44*132=5808, Resulting Numbers: [5808]
5808,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[90, 2], Operations: ['94-50=44', '44-42=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 90*2=180, Resulting Numbers: [180]
180,47 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[94, 2], Operations: ['90-42=48', '50-48=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[90, 42, 50, 94], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [50, 94, 48]
Generated Node #0,1: 47:[50, 94, 48] Operation: 90-42=48
Moving to Node #0,1
Current State: 47:[50, 94, 48], Operations: ['90-42=48']
Exploring Operation: 50-48=2, Resulting Numbers: [94, 2]
Generated Node #0,1,2: 47:[94, 2] Operation: 50-48=2
Moving to Node #0,1,2
Current State: 47:[94, 2], Operations: ['90-42=48', '50-48=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 0.917535 |
hs_5
|
sum_heuristic
|
[
60,
29,
8,
11
] | 92 |
[
"60+29=89",
"11-8=3",
"89+3=92"
] |
Current State: 92:[60, 29, 8, 11], Operations: []
Exploring Operation: 60+29=89, Resulting Numbers: [8, 11, 89]
Generated Node #2: [8, 11, 89] from Operation: 60+29=89
Current State: 92:[8, 11, 89], Operations: ['60+29=89']
Exploring Operation: 11-8=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 11-8=3
Current State: 92:[89, 3], Operations: ['60+29=89', '11-8=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[60, 29, 8, 11], Operations: []
Exploring Operation: 60-29=31, Resulting Numbers: [8, 11, 31]
Generated Node #0,0: 92:[8, 11, 31] Operation: 60-29=31
Exploring Operation: 60-11=49, Resulting Numbers: [29, 8, 49]
Generated Node #0,1: 92:[29, 8, 49] Operation: 60-11=49
Exploring Operation: 60+29=89, Resulting Numbers: [8, 11, 89]
Generated Node #0,2: 92:[8, 11, 89] Operation: 60+29=89
Exploring Operation: 11-8=3, Resulting Numbers: [60, 29, 3]
Generated Node #0,3: 92:[60, 29, 3] Operation: 11-8=3
Exploring Operation: 60-8=52, Resulting Numbers: [29, 11, 52]
Generated Node #0,4: 92:[29, 11, 52] Operation: 60-8=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[29, 8, 49], Operations: ['60-11=49']
Exploring Operation: 8+49=57, Resulting Numbers: [29, 57]
Generated Node #0,1,0: 92:[29, 57] Operation: 8+49=57
Exploring Operation: 29+8=37, Resulting Numbers: [49, 37]
Generated Node #0,1,1: 92:[49, 37] Operation: 29+8=37
Exploring Operation: 49-8=41, Resulting Numbers: [29, 41]
Generated Node #0,1,2: 92:[29, 41] Operation: 49-8=41
Exploring Operation: 29-8=21, Resulting Numbers: [49, 21]
Generated Node #0,1,3: 92:[49, 21] Operation: 29-8=21
Exploring Operation: 49-29=20, Resulting Numbers: [8, 20]
Generated Node #0,1,4: 92:[8, 20] Operation: 49-29=20
Moving to Node #0,1,3
Current State: 92:[49, 21], Operations: ['60-11=49', '29-8=21']
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 49+21=70, Resulting Numbers: [70]
70,92 unequal: No Solution
Exploring Operation: 49*21=1029, Resulting Numbers: [1029]
1029,92 unequal: No Solution
Moving to Node #0,1,4
Current State: 92:[8, 20], Operations: ['60-11=49', '49-29=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[29, 41], Operations: ['60-11=49', '49-8=41']
Exploring Operation: 41-29=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 29*41=1189, Resulting Numbers: [1189]
1189,92 unequal: No Solution
Exploring Operation: 29+41=70, Resulting Numbers: [70]
70,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[49, 37], Operations: ['60-11=49', '29+8=37']
Exploring Operation: 49+37=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 49*37=1813, Resulting Numbers: [1813]
1813,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[29, 57], Operations: ['60-11=49', '8+49=57']
Exploring Operation: 29+57=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 57-29=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 29*57=1653, Resulting Numbers: [1653]
1653,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[8, 11, 89], Operations: ['60+29=89']
Exploring Operation: 11+89=100, Resulting Numbers: [8, 100]
Generated Node #0,2,0: 92:[8, 100] Operation: 11+89=100
Exploring Operation: 8+89=97, Resulting Numbers: [11, 97]
Generated Node #0,2,1: 92:[11, 97] Operation: 8+89=97
Exploring Operation: 8*11=88, Resulting Numbers: [89, 88]
Generated Node #0,2,2: 92:[89, 88] Operation: 8*11=88
Exploring Operation: 11-8=3, Resulting Numbers: [89, 3]
Generated Node #0,2,3: 92:[89, 3] Operation: 11-8=3
Exploring Operation: 8+11=19, Resulting Numbers: [89, 19]
Generated Node #0,2,4: 92:[89, 19] Operation: 8+11=19
Moving to Node #0,2,3
Current State: 92:[89, 3], Operations: ['60+29=89', '11-8=3']
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,92 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[60, 29, 8, 11], Operations: []
Exploring Operation: 60+29=89, Resulting Numbers: [8, 11, 89]
Generated Node #0,2: 92:[8, 11, 89] Operation: 60+29=89
Moving to Node #0,2
Current State: 92:[8, 11, 89], Operations: ['60+29=89']
Exploring Operation: 11-8=3, Resulting Numbers: [89, 3]
Generated Node #0,2,3: 92:[89, 3] Operation: 11-8=3
Moving to Node #0,2,3
Current State: 92:[89, 3], Operations: ['60+29=89', '11-8=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 |
hs_5
|
mult_heuristic
|
[
72,
38,
70,
54
] | 73 |
[
"72-70=2",
"38/2=19",
"54+19=73"
] |
Current State: 73:[72, 38, 70, 54], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [38, 54, 2]
Generated Node #2: [38, 54, 2] from Operation: 72-70=2
Current State: 73:[38, 54, 2], Operations: ['72-70=2']
Exploring Operation: 38/2=19, Resulting Numbers: [54, 19]
Generated Node #3: [54, 19] from Operation: 38/2=19
Current State: 73:[54, 19], Operations: ['72-70=2', '38/2=19']
Exploring Operation: 54+19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[72, 38, 70, 54], Operations: []
Exploring Operation: 38+54=92, Resulting Numbers: [72, 70, 92]
Generated Node #0,0: 73:[72, 70, 92] Operation: 38+54=92
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[72, 70, 92], Operations: ['38+54=92']
Exploring Operation: 92-70=22, Resulting Numbers: [72, 22]
Generated Node #0,0,0: 73:[72, 22] Operation: 92-70=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[72, 22], Operations: ['38+54=92', '92-70=22']
Exploring Operation: 72+22=94, Resulting Numbers: [94]
94,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
96,
57,
81,
45
] | 67 |
[
"96*57=5472",
"5472-45=5427",
"5427/81=67"
] |
Current State: 67:[96, 57, 81, 45], Operations: []
Exploring Operation: 96*57=5472, Resulting Numbers: [81, 45, 5472]
Generated Node #2: [81, 45, 5472] from Operation: 96*57=5472
Current State: 67:[81, 45, 5472], Operations: ['96*57=5472']
Exploring Operation: 5472-45=5427, Resulting Numbers: [81, 5427]
Generated Node #3: [81, 5427] from Operation: 5472-45=5427
Current State: 67:[81, 5427], Operations: ['96*57=5472', '5472-45=5427']
Exploring Operation: 5427/81=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[96, 57, 81, 45], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [96, 57, 36]
Generated Node #0,0: 67:[96, 57, 36] Operation: 81-45=36
Exploring Operation: 96-57=39, Resulting Numbers: [81, 45, 39]
Generated Node #0,1: 67:[81, 45, 39] Operation: 96-57=39
Exploring Operation: 57+45=102, Resulting Numbers: [96, 81, 102]
Generated Node #0,2: 67:[96, 81, 102] Operation: 57+45=102
Exploring Operation: 96-81=15, Resulting Numbers: [57, 45, 15]
Generated Node #0,3: 67:[57, 45, 15] Operation: 96-81=15
Exploring Operation: 96-45=51, Resulting Numbers: [57, 81, 51]
Generated Node #0,4: 67:[57, 81, 51] Operation: 96-45=51
Start Sub Search at level 1: Moving to Node #0,4
Current State: 67:[57, 81, 51], Operations: ['96-45=51']
Exploring Operation: 81-51=30, Resulting Numbers: [57, 30]
Generated Node #0,4,0: 67:[57, 30] Operation: 81-51=30
Exploring Operation: 57+51=108, Resulting Numbers: [81, 108]
Generated Node #0,4,1: 67:[81, 108] Operation: 57+51=108
Exploring Operation: 81+51=132, Resulting Numbers: [57, 132]
Generated Node #0,4,2: 67:[57, 132] Operation: 81+51=132
Exploring Operation: 57-51=6, Resulting Numbers: [81, 6]
Generated Node #0,4,3: 67:[81, 6] Operation: 57-51=6
Exploring Operation: 81-57=24, Resulting Numbers: [51, 24]
Generated Node #0,4,4: 67:[51, 24] Operation: 81-57=24
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 67:[57, 30], Operations: ['96-45=51', '81-51=30']
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,67 unequal: No Solution
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Exploring Operation: 57*30=1710, Resulting Numbers: [1710]
1710,67 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 #0,4,1
Current State: 67:[81, 108], Operations: ['96-45=51', '57+51=108']
Exploring Operation: 108-81=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Exploring Operation: 81*108=8748, Resulting Numbers: [8748]
8748,67 unequal: No Solution
Exploring Operation: 81+108=189, Resulting Numbers: [189]
189,67 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 #0,4,4
Current State: 67:[51, 24], Operations: ['96-45=51', '81-57=24']
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Exploring Operation: 51*24=1224, Resulting Numbers: [1224]
1224,67 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 #0,4,2
Current State: 67:[57, 132], Operations: ['96-45=51', '81+51=132']
Exploring Operation: 57*132=7524, Resulting Numbers: [7524]
7524,67 unequal: No Solution
Exploring Operation: 57+132=189, Resulting Numbers: [189]
189,67 unequal: No Solution
Exploring Operation: 132-57=75, Resulting Numbers: [75]
75,67 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 #0,4,3
Current State: 67:[81, 6], Operations: ['96-45=51', '57-51=6']
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,67 unequal: No Solution
Exploring Operation: 81*6=486, Resulting Numbers: [486]
486,67 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: 67:[81, 45, 39], Operations: ['96-57=39']
Exploring Operation: 81+39=120, Resulting Numbers: [45, 120]
Generated Node #0,1,0: 67:[45, 120] Operation: 81+39=120
Exploring Operation: 45+39=84, Resulting Numbers: [81, 84]
Generated Node #0,1,1: 67:[81, 84] Operation: 45+39=84
Exploring Operation: 81-45=36, Resulting Numbers: [39, 36]
Generated Node #0,1,2: 67:[39, 36] Operation: 81-45=36
Exploring Operation: 81-39=42, Resulting Numbers: [45, 42]
Generated Node #0,1,3: 67:[45, 42] Operation: 81-39=42
Exploring Operation: 45-39=6, Resulting Numbers: [81, 6]
Generated Node #0,1,4: 67:[81, 6] Operation: 45-39=6
Moving to Node #0,1,1
Current State: 67:[81, 84], Operations: ['96-57=39', '45+39=84']
Exploring Operation: 81+84=165, Resulting Numbers: [165]
165,67 unequal: No Solution
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 81*84=6804, Resulting Numbers: [6804]
6804,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[45, 42], Operations: ['96-57=39', '81-39=42']
Exploring Operation: 45*42=1890, Resulting Numbers: [1890]
1890,67 unequal: No Solution
Exploring Operation: 45+42=87, Resulting Numbers: [87]
87,67 unequal: No Solution
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[39, 36], Operations: ['96-57=39', '81-45=36']
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,67 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[45, 120], Operations: ['96-57=39', '81+39=120']
Exploring Operation: 120-45=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 45+120=165, Resulting Numbers: [165]
165,67 unequal: No Solution
Exploring Operation: 45*120=5400, Resulting Numbers: [5400]
5400,67 unequal: No Solution
Moving to Node #0,1,4
Current State: 67:[81, 6], Operations: ['96-57=39', '45-39=6']
Exploring Operation: 81*6=486, Resulting Numbers: [486]
486,67 unequal: No Solution
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,67 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[96, 57, 36], Operations: ['81-45=36']
Exploring Operation: 57+36=93, Resulting Numbers: [96, 93]
Generated Node #0,0,0: 67:[96, 93] Operation: 57+36=93
Exploring Operation: 96-57=39, Resulting Numbers: [36, 39]
Generated Node #0,0,1: 67:[36, 39] Operation: 96-57=39
Exploring Operation: 96+36=132, Resulting Numbers: [57, 132]
Generated Node #0,0,2: 67:[57, 132] Operation: 96+36=132
Exploring Operation: 96-36=60, Resulting Numbers: [57, 60]
Generated Node #0,0,3: 67:[57, 60] Operation: 96-36=60
Exploring Operation: 57-36=21, Resulting Numbers: [96, 21]
Generated Node #0,0,4: 67:[96, 21] Operation: 57-36=21
Moving to Node #0,0,3
Current State: 67:[57, 60], Operations: ['81-45=36', '96-36=60']
Exploring Operation: 57+60=117, Resulting Numbers: [117]
117,67 unequal: No Solution
Exploring Operation: 57*60=3420, Resulting Numbers: [3420]
3420,67 unequal: No Solution
Exploring Operation: 60-57=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[96, 93], Operations: ['81-45=36', '57+36=93']
Exploring Operation: 96+93=189, Resulting Numbers: [189]
189,67 unequal: No Solution
Exploring Operation: 96-93=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 96*93=8928, Resulting Numbers: [8928]
8928,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[36, 39], Operations: ['81-45=36', '96-57=39']
Exploring Operation: 36+39=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 36*39=1404, Resulting Numbers: [1404]
1404,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[57, 132], Operations: ['81-45=36', '96+36=132']
Exploring Operation: 57+132=189, Resulting Numbers: [189]
189,67 unequal: No Solution
Exploring Operation: 132-57=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 57*132=7524, Resulting Numbers: [7524]
7524,67 unequal: No Solution
Moving to Node #0,0,4
Current State: 67:[96, 21], Operations: ['81-45=36', '57-36=21']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 96+21=117, Resulting Numbers: [117]
117,67 unequal: No Solution
Exploring Operation: 96*21=2016, Resulting Numbers: [2016]
2016,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[96, 81, 102], Operations: ['57+45=102']
Exploring Operation: 96-81=15, Resulting Numbers: [102, 15]
Generated Node #0,2,0: 67:[102, 15] Operation: 96-81=15
Exploring Operation: 96+102=198, Resulting Numbers: [81, 198]
Generated Node #0,2,1: 67:[81, 198] Operation: 96+102=198
Exploring Operation: 96+81=177, Resulting Numbers: [102, 177]
Generated Node #0,2,2: 67:[102, 177] Operation: 96+81=177
Exploring Operation: 102-96=6, Resulting Numbers: [81, 6]
Generated Node #0,2,3: 67:[81, 6] Operation: 102-96=6
Exploring Operation: 102-81=21, Resulting Numbers: [96, 21]
Generated Node #0,2,4: 67:[96, 21] Operation: 102-81=21
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 67:[81, 6], Operations: ['57+45=102', '102-96=6']
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 81*6=486, Resulting Numbers: [486]
486,67 unequal: No Solution
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,67 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 #0,2,4
Current State: 67:[96, 21], Operations: ['57+45=102', '102-81=21']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 96*21=2016, Resulting Numbers: [2016]
2016,67 unequal: No Solution
Exploring Operation: 96+21=117, Resulting Numbers: [117]
117,67 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 #0,2,0
Current State: 67:[102, 15], Operations: ['57+45=102', '96-81=15']
Exploring Operation: 102+15=117, Resulting Numbers: [117]
117,67 unequal: No Solution
Exploring Operation: 102*15=1530, Resulting Numbers: [1530]
1530,67 unequal: No Solution
Exploring Operation: 102-15=87, Resulting Numbers: [87]
87,67 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 #0,2,1
Current State: 67:[81, 198], Operations: ['57+45=102', '96+102=198']
Exploring Operation: 81+198=279, Resulting Numbers: [279]
279,67 unequal: No Solution
Exploring Operation: 198-81=117, Resulting Numbers: [117]
117,67 unequal: No Solution
Exploring Operation: 81*198=16038, Resulting Numbers: [16038]
16038,67 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 #0,2,2
Current State: 67:[102, 177], Operations: ['57+45=102', '96+81=177']
Exploring Operation: 102*177=18054, Resulting Numbers: [18054]
18054,67 unequal: No Solution
Exploring Operation: 177-102=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 102+177=279, Resulting Numbers: [279]
279,67 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: 67:[57, 45, 15], Operations: ['96-81=15']
Exploring Operation: 57+15=72, Resulting Numbers: [45, 72]
Generated Node #0,3,0: 67:[45, 72] Operation: 57+15=72
Exploring Operation: 45-15=30, Resulting Numbers: [57, 30]
Generated Node #0,3,1: 67:[57, 30] Operation: 45-15=30
Exploring Operation: 45/15=3, Resulting Numbers: [57, 3]
Generated Node #0,3,2: 67:[57, 3] Operation: 45/15=3
Exploring Operation: 45+15=60, Resulting Numbers: [57, 60]
Generated Node #0,3,3: 67:[57, 60] Operation: 45+15=60
Exploring Operation: 57-15=42, Resulting Numbers: [45, 42]
Generated Node #0,3,4: 67:[45, 42] Operation: 57-15=42
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 67:[57, 60], Operations: ['96-81=15', '45+15=60']
Exploring Operation: 60-57=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 57+60=117, Resulting Numbers: [117]
117,67 unequal: No Solution
Exploring Operation: 57*60=3420, Resulting Numbers: [3420]
3420,67 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 #0,3,0
Current State: 67:[45, 72], Operations: ['96-81=15', '57+15=72']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Exploring Operation: 45*72=3240, Resulting Numbers: [3240]
3240,67 unequal: No Solution
Exploring Operation: 45+72=117, Resulting Numbers: [117]
117,67 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 #0,3,1
Current State: 67:[57, 30], Operations: ['96-81=15', '45-15=30']
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,67 unequal: No Solution
Exploring Operation: 57*30=1710, Resulting Numbers: [1710]
1710,67 unequal: No Solution
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,67 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 #0,3,4
Current State: 67:[45, 42], Operations: ['96-81=15', '57-15=42']
Exploring Operation: 45+42=87, Resulting Numbers: [87]
87,67 unequal: No Solution
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 45*42=1890, Resulting Numbers: [1890]
1890,67 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 #0,3,2
Current State: 67:[57, 3], Operations: ['96-81=15', '45/15=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,67 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,67 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,67 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
|
[
78,
51,
46,
87
] | 81 |
[
"51+87=138",
"138/46=3",
"78+3=81"
] |
Current State: 81:[78, 51, 46, 87], Operations: []
Exploring Operation: 51+87=138, Resulting Numbers: [78, 46, 138]
Generated Node #2: [78, 46, 138] from Operation: 51+87=138
Current State: 81:[78, 46, 138], Operations: ['51+87=138']
Exploring Operation: 138/46=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 138/46=3
Current State: 81:[78, 3], Operations: ['51+87=138', '138/46=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[78, 51, 46, 87], Operations: []
Exploring Operation: 51+46=97, Resulting Numbers: [78, 87, 97]
Generated Node #0,0: 81:[78, 87, 97] Operation: 51+46=97
Exploring Operation: 51-46=5, Resulting Numbers: [78, 87, 5]
Generated Node #0,1: 81:[78, 87, 5] Operation: 51-46=5
Exploring Operation: 78-51=27, Resulting Numbers: [46, 87, 27]
Generated Node #0,2: 81:[46, 87, 27] Operation: 78-51=27
Moving to Node #0,1
Current State: 81:[78, 87, 5], Operations: ['51-46=5']
Exploring Operation: 87-5=82, Resulting Numbers: [78, 82]
Generated Node #0,1,0: 81:[78, 82] Operation: 87-5=82
Exploring Operation: 87-78=9, Resulting Numbers: [5, 9]
Generated Node #0,1,1: 81:[5, 9] Operation: 87-78=9
Exploring Operation: 78+5=83, Resulting Numbers: [87, 83]
Generated Node #0,1,2: 81:[87, 83] Operation: 78+5=83
Moving to Node #0,0
Current State: 81:[78, 87, 97], Operations: ['51+46=97']
Exploring Operation: 87-78=9, Resulting Numbers: [97, 9]
Generated Node #0,0,0: 81:[97, 9] Operation: 87-78=9
Exploring Operation: 97-78=19, Resulting Numbers: [87, 19]
Generated Node #0,0,1: 81:[87, 19] Operation: 97-78=19
Exploring Operation: 97-87=10, Resulting Numbers: [78, 10]
Generated Node #0,0,2: 81:[78, 10] Operation: 97-87=10
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 81:[78, 10], Operations: ['51+46=97', '97-87=10']
Exploring Operation: 78*10=780, Resulting Numbers: [780]
780,81 unequal: No Solution
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,81 unequal: No Solution
Exploring Operation: 78+10=88, Resulting Numbers: [88]
88,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[87, 19], Operations: ['51+46=97', '97-78=19']
Exploring Operation: 87*19=1653, Resulting Numbers: [1653]
1653,81 unequal: No Solution
Exploring Operation: 87+19=106, Resulting Numbers: [106]
106,81 unequal: No Solution
Exploring Operation: 87-19=68, Resulting Numbers: [68]
68,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[97, 9], Operations: ['51+46=97', '87-78=9']
Exploring Operation: 97+9=106, Resulting Numbers: [106]
106,81 unequal: No Solution
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Exploring Operation: 97*9=873, Resulting Numbers: [873]
873,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 81:[46, 87, 27], Operations: ['78-51=27']
Exploring Operation: 46+27=73, Resulting Numbers: [87, 73]
Generated Node #0,2,0: 81:[87, 73] Operation: 46+27=73
Exploring Operation: 87-46=41, Resulting Numbers: [27, 41]
Generated Node #0,2,1: 81:[27, 41] Operation: 87-46=41
Exploring Operation: 46-27=19, Resulting Numbers: [87, 19]
Generated Node #0,2,2: 81:[87, 19] Operation: 46-27=19
Moving to Node #0,1,1
Current State: 81:[5, 9], Operations: ['51-46=5', '87-78=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[78, 82], Operations: ['51-46=5', '87-5=82']
Exploring Operation: 82-78=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 78+82=160, Resulting Numbers: [160]
160,81 unequal: No Solution
Exploring Operation: 78*82=6396, Resulting Numbers: [6396]
6396,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[87, 83], Operations: ['51-46=5', '78+5=83']
Exploring Operation: 87*83=7221, Resulting Numbers: [7221]
7221,81 unequal: No Solution
Exploring Operation: 87-83=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 87+83=170, Resulting Numbers: [170]
170,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[87, 19], Operations: ['78-51=27', '46-27=19']
Exploring Operation: 87*19=1653, Resulting Numbers: [1653]
1653,81 unequal: No Solution
Exploring Operation: 87-19=68, Resulting Numbers: [68]
68,81 unequal: No Solution
Exploring Operation: 87+19=106, Resulting Numbers: [106]
106,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[27, 41], Operations: ['78-51=27', '87-46=41']
Exploring Operation: 27*41=1107, Resulting Numbers: [1107]
1107,81 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[87, 73], Operations: ['78-51=27', '46+27=73']
Exploring Operation: 87*73=6351, Resulting Numbers: [6351]
6351,81 unequal: No Solution
Exploring Operation: 87+73=160, Resulting Numbers: [160]
160,81 unequal: No Solution
Exploring Operation: 87-73=14, Resulting Numbers: [14]
14,81 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
64,
28,
57,
5
] | 81 |
[
"28+57=85",
"85/5=17",
"64+17=81"
] |
Current State: 81:[64, 28, 57, 5], Operations: []
Exploring Operation: 28+57=85, Resulting Numbers: [64, 5, 85]
Generated Node #2: [64, 5, 85] from Operation: 28+57=85
Current State: 81:[64, 5, 85], Operations: ['28+57=85']
Exploring Operation: 85/5=17, Resulting Numbers: [64, 17]
Generated Node #3: [64, 17] from Operation: 85/5=17
Current State: 81:[64, 17], Operations: ['28+57=85', '85/5=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[64, 28, 57, 5], Operations: []
Exploring Operation: 28+57=85, Resulting Numbers: [64, 5, 85]
Generated Node #0,0: 81:[64, 5, 85] Operation: 28+57=85
Exploring Operation: 64-57=7, Resulting Numbers: [28, 5, 7]
Generated Node #0,1: 81:[28, 5, 7] Operation: 64-57=7
Exploring Operation: 64-28=36, Resulting Numbers: [57, 5, 36]
Generated Node #0,2: 81:[57, 5, 36] Operation: 64-28=36
Exploring Operation: 57-28=29, Resulting Numbers: [64, 5, 29]
Generated Node #0,3: 81:[64, 5, 29] Operation: 57-28=29
Moving to Node #0,1
Current State: 81:[28, 5, 7], Operations: ['64-57=7']
Exploring Operation: 28-5=23, Resulting Numbers: [7, 23]
Generated Node #0,1,0: 81:[7, 23] Operation: 28-5=23
Exploring Operation: 28/7=4, Resulting Numbers: [5, 4]
Generated Node #0,1,1: 81:[5, 4] Operation: 28/7=4
Exploring Operation: 5+7=12, Resulting Numbers: [28, 12]
Generated Node #0,1,2: 81:[28, 12] Operation: 5+7=12
Exploring Operation: 7-5=2, Resulting Numbers: [28, 2]
Generated Node #0,1,3: 81:[28, 2] Operation: 7-5=2
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 81:[28, 2], Operations: ['64-57=7', '7-5=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,81 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[5, 4], Operations: ['64-57=7', '28/7=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[28, 12], Operations: ['64-57=7', '5+7=12']
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 28*12=336, Resulting Numbers: [336]
336,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[7, 23], Operations: ['64-57=7', '28-5=23']
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,81 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 81:[64, 5, 29], Operations: ['57-28=29']
Exploring Operation: 64-29=35, Resulting Numbers: [5, 35]
Generated Node #0,3,0: 81:[5, 35] Operation: 64-29=35
Exploring Operation: 64+29=93, Resulting Numbers: [5, 93]
Generated Node #0,3,1: 81:[5, 93] Operation: 64+29=93
Exploring Operation: 29-5=24, Resulting Numbers: [64, 24]
Generated Node #0,3,2: 81:[64, 24] Operation: 29-5=24
Exploring Operation: 64+5=69, Resulting Numbers: [29, 69]
Generated Node #0,3,3: 81:[29, 69] Operation: 64+5=69
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 81:[5, 35], Operations: ['57-28=29', '64-29=35']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 5*35=175, Resulting Numbers: [175]
175,81 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 81:[5, 93], Operations: ['57-28=29', '64+29=93']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 5*93=465, Resulting Numbers: [465]
465,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 81:[29, 69], Operations: ['57-28=29', '64+5=69']
Exploring Operation: 29*69=2001, Resulting Numbers: [2001]
2001,81 unequal: No Solution
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Exploring Operation: 29+69=98, Resulting Numbers: [98]
98,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 81:[64, 24], Operations: ['57-28=29', '29-5=24']
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Exploring Operation: 64*24=1536, Resulting Numbers: [1536]
1536,81 unequal: No Solution
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,81 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: 81:[64, 5, 85], Operations: ['28+57=85']
Exploring Operation: 64+5=69, Resulting Numbers: [85, 69]
Generated Node #0,0,0: 81:[85, 69] Operation: 64+5=69
Exploring Operation: 85/5=17, Resulting Numbers: [64, 17]
Generated Node #0,0,1: 81:[64, 17] Operation: 85/5=17
Exploring Operation: 85-64=21, Resulting Numbers: [5, 21]
Generated Node #0,0,2: 81:[5, 21] Operation: 85-64=21
Exploring Operation: 85-5=80, Resulting Numbers: [64, 80]
Generated Node #0,0,3: 81:[64, 80] Operation: 85-5=80
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 81:[5, 21], Operations: ['28+57=85', '85-64=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,81 unequal: No Solution
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[85, 69], Operations: ['28+57=85', '64+5=69']
Exploring Operation: 85-69=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 85*69=5865, Resulting Numbers: [5865]
5865,81 unequal: No Solution
Exploring Operation: 85+69=154, Resulting Numbers: [154]
154,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 81:[64, 80], Operations: ['28+57=85', '85-5=80']
Exploring Operation: 64*80=5120, Resulting Numbers: [5120]
5120,81 unequal: No Solution
Exploring Operation: 64+80=144, Resulting Numbers: [144]
144,81 unequal: No Solution
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[64, 17], Operations: ['28+57=85', '85/5=17']
Exploring Operation: 64*17=1088, Resulting Numbers: [1088]
1088,81 unequal: No Solution
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[64, 28, 57, 5], Operations: []
Exploring Operation: 28+57=85, Resulting Numbers: [64, 5, 85]
Generated Node #0,0: 81:[64, 5, 85] Operation: 28+57=85
Moving to Node #0,0
Current State: 81:[64, 5, 85], Operations: ['28+57=85']
Exploring Operation: 85/5=17, Resulting Numbers: [64, 17]
Generated Node #0,0,1: 81:[64, 17] Operation: 85/5=17
Moving to Node #0,0,1
Current State: 81:[64, 17], Operations: ['28+57=85', '85/5=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 |
hs_4
|
sum_heuristic
|
[
56,
84,
70,
8
] | 90 |
[
"84-56=28",
"70-8=62",
"28+62=90"
] |
Current State: 90:[56, 84, 70, 8], Operations: []
Exploring Operation: 84-56=28, Resulting Numbers: [70, 8, 28]
Generated Node #2: [70, 8, 28] from Operation: 84-56=28
Current State: 90:[70, 8, 28], Operations: ['84-56=28']
Exploring Operation: 70-8=62, Resulting Numbers: [28, 62]
Generated Node #3: [28, 62] from Operation: 70-8=62
Current State: 90:[28, 62], Operations: ['84-56=28', '70-8=62']
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[56, 84, 70, 8], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [84, 8, 14]
Generated Node #0,0: 90:[84, 8, 14] Operation: 70-56=14
Exploring Operation: 84-70=14, Resulting Numbers: [56, 8, 14]
Generated Node #0,1: 90:[56, 8, 14] Operation: 84-70=14
Moving to Node #0,0
Current State: 90:[84, 8, 14], Operations: ['70-56=14']
Exploring Operation: 84+8=92, Resulting Numbers: [14, 92]
Generated Node #0,0,0: 90:[14, 92] Operation: 84+8=92
Exploring Operation: 84/14=6, Resulting Numbers: [8, 6]
Generated Node #0,0,1: 90:[8, 6] Operation: 84/14=6
Moving to Node #0,1
Current State: 90:[56, 8, 14], Operations: ['84-70=14']
Exploring Operation: 56/8=7, Resulting Numbers: [14, 7]
Generated Node #0,1,0: 90:[14, 7] Operation: 56/8=7
Exploring Operation: 56/14=4, Resulting Numbers: [8, 4]
Generated Node #0,1,1: 90:[8, 4] Operation: 56/14=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[14, 7], Operations: ['84-70=14', '56/8=7']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[8, 4], Operations: ['84-70=14', '56/14=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,90 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: 90:[8, 6], Operations: ['70-56=14', '84/14=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[14, 92], Operations: ['70-56=14', '84+8=92']
Exploring Operation: 14+92=106, Resulting Numbers: [106]
106,90 unequal: No Solution
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,90 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
53,
61,
75,
6
] | 100 |
[
"61-53=8",
"75*8=600",
"600/6=100"
] |
Current State: 100:[53, 61, 75, 6], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [75, 6, 8]
Generated Node #2: [75, 6, 8] from Operation: 61-53=8
Current State: 100:[75, 6, 8], Operations: ['61-53=8']
Exploring Operation: 75*8=600, Resulting Numbers: [6, 600]
Generated Node #3: [6, 600] from Operation: 75*8=600
Current State: 100:[6, 600], Operations: ['61-53=8', '75*8=600']
Exploring Operation: 600/6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[53, 61, 75, 6], Operations: []
Exploring Operation: 75-53=22, Resulting Numbers: [61, 6, 22]
Generated Node #0,0: 100:[61, 6, 22] Operation: 75-53=22
Exploring Operation: 75-61=14, Resulting Numbers: [53, 6, 14]
Generated Node #0,1: 100:[53, 6, 14] Operation: 75-61=14
Moving to Node #0,1
Current State: 100:[53, 6, 14], Operations: ['75-61=14']
Exploring Operation: 6+14=20, Resulting Numbers: [53, 20]
Generated Node #0,1,0: 100:[53, 20] Operation: 6+14=20
Exploring Operation: 14-6=8, Resulting Numbers: [53, 8]
Generated Node #0,1,1: 100:[53, 8] Operation: 14-6=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[53, 20], Operations: ['75-61=14', '6+14=20']
Exploring Operation: 53+20=73, Resulting Numbers: [73]
73,100 unequal: No Solution
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[53, 8], Operations: ['75-61=14', '14-6=8']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 53+8=61, Resulting Numbers: [61]
61,100 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: 100:[61, 6, 22], Operations: ['75-53=22']
Exploring Operation: 61-22=39, Resulting Numbers: [6, 39]
Generated Node #0,0,0: 100:[6, 39] Operation: 61-22=39
Exploring Operation: 61-6=55, Resulting Numbers: [22, 55]
Generated Node #0,0,1: 100:[22, 55] Operation: 61-6=55
Moving to Node #0,0,1
Current State: 100:[22, 55], Operations: ['75-53=22', '61-6=55']
Exploring Operation: 22+55=77, Resulting Numbers: [77]
77,100 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[6, 39], Operations: ['75-53=22', '61-22=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,100 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,100 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
87,
98,
96,
62
] | 37 |
[
"98-96=2",
"62*2=124",
"124-87=37"
] |
Current State: 37:[87, 98, 96, 62], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [87, 62, 2]
Generated Node #2: [87, 62, 2] from Operation: 98-96=2
Current State: 37:[87, 62, 2], Operations: ['98-96=2']
Exploring Operation: 62*2=124, Resulting Numbers: [87, 124]
Generated Node #3: [87, 124] from Operation: 62*2=124
Current State: 37:[87, 124], Operations: ['98-96=2', '62*2=124']
Exploring Operation: 124-87=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[87, 98, 96, 62], Operations: []
Exploring Operation: 98-87=11, Resulting Numbers: [96, 62, 11]
Generated Node #0,0: 37:[96, 62, 11] Operation: 98-87=11
Moving to Node #0,0
Current State: 37:[96, 62, 11], Operations: ['98-87=11']
Exploring Operation: 96-62=34, Resulting Numbers: [11, 34]
Generated Node #0,0,0: 37:[11, 34] Operation: 96-62=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[11, 34], Operations: ['98-87=11', '96-62=34']
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
58,
76,
80,
3
] | 59 |
[
"76-58=18",
"80-3=77",
"77-18=59"
] |
Current State: 59:[58, 76, 80, 3], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [80, 3, 18]
Generated Node #2: [80, 3, 18] from Operation: 76-58=18
Current State: 59:[80, 3, 18], Operations: ['76-58=18']
Exploring Operation: 80-3=77, Resulting Numbers: [18, 77]
Generated Node #3: [18, 77] from Operation: 80-3=77
Current State: 59:[18, 77], Operations: ['76-58=18', '80-3=77']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
Current State: 59:[58, 76, 80, 3], Operations: []
Exploring Operation: 58-3=55, Resulting Numbers: [76, 80, 55]
Generated Node #0,0: 59:[76, 80, 55] Operation: 58-3=55
Exploring Operation: 76-3=73, Resulting Numbers: [58, 80, 73]
Generated Node #0,1: 59:[58, 80, 73] Operation: 76-3=73
Exploring Operation: 58+3=61, Resulting Numbers: [76, 80, 61]
Generated Node #0,2: 59:[76, 80, 61] Operation: 58+3=61
Exploring Operation: 80-3=77, Resulting Numbers: [58, 76, 77]
Generated Node #0,3: 59:[58, 76, 77] Operation: 80-3=77
Moving to Node #0,1
Current State: 59:[58, 80, 73], Operations: ['76-3=73']
Exploring Operation: 58+80=138, Resulting Numbers: [73, 138]
Generated Node #0,1,0: 59:[73, 138] Operation: 58+80=138
Exploring Operation: 80-73=7, Resulting Numbers: [58, 7]
Generated Node #0,1,1: 59:[58, 7] Operation: 80-73=7
Exploring Operation: 73-58=15, Resulting Numbers: [80, 15]
Generated Node #0,1,2: 59:[80, 15] Operation: 73-58=15
Exploring Operation: 80-58=22, Resulting Numbers: [73, 22]
Generated Node #0,1,3: 59:[73, 22] Operation: 80-58=22
Moving to Node #0,3
Current State: 59:[58, 76, 77], Operations: ['80-3=77']
Exploring Operation: 77-76=1, Resulting Numbers: [58, 1]
Generated Node #0,3,0: 59:[58, 1] Operation: 77-76=1
Exploring Operation: 77-58=19, Resulting Numbers: [76, 19]
Generated Node #0,3,1: 59:[76, 19] Operation: 77-58=19
Exploring Operation: 76-58=18, Resulting Numbers: [77, 18]
Generated Node #0,3,2: 59:[77, 18] Operation: 76-58=18
Exploring Operation: 58+76=134, Resulting Numbers: [77, 134]
Generated Node #0,3,3: 59:[77, 134] Operation: 58+76=134
Moving to Node #0,2
Current State: 59:[76, 80, 61], Operations: ['58+3=61']
Exploring Operation: 76-61=15, Resulting Numbers: [80, 15]
Generated Node #0,2,0: 59:[80, 15] Operation: 76-61=15
Exploring Operation: 76+80=156, Resulting Numbers: [61, 156]
Generated Node #0,2,1: 59:[61, 156] Operation: 76+80=156
Exploring Operation: 80-76=4, Resulting Numbers: [61, 4]
Generated Node #0,2,2: 59:[61, 4] Operation: 80-76=4
Exploring Operation: 80-61=19, Resulting Numbers: [76, 19]
Generated Node #0,2,3: 59:[76, 19] Operation: 80-61=19
Moving to Node #0,0
Current State: 59:[76, 80, 55], Operations: ['58-3=55']
Exploring Operation: 80-55=25, Resulting Numbers: [76, 25]
Generated Node #0,0,0: 59:[76, 25] Operation: 80-55=25
Exploring Operation: 76-55=21, Resulting Numbers: [80, 21]
Generated Node #0,0,1: 59:[80, 21] Operation: 76-55=21
Exploring Operation: 76+55=131, Resulting Numbers: [80, 131]
Generated Node #0,0,2: 59:[80, 131] Operation: 76+55=131
Exploring Operation: 80-76=4, Resulting Numbers: [55, 4]
Generated Node #0,0,3: 59:[55, 4] Operation: 80-76=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[76, 25], Operations: ['58-3=55', '80-55=25']
Exploring Operation: 76+25=101, Resulting Numbers: [101]
101,59 unequal: No Solution
Exploring Operation: 76*25=1900, Resulting Numbers: [1900]
1900,59 unequal: No Solution
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,59 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:[80, 21], Operations: ['58-3=55', '76-55=21']
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[58, 76, 80, 3], Operations: []
Exploring Operation: 58-3=55, Resulting Numbers: [76, 80, 55]
Generated Node #0,0: 59:[76, 80, 55] Operation: 58-3=55
Moving to Node #0,0
Current State: 59:[76, 80, 55], Operations: ['58-3=55']
Exploring Operation: 76-55=21, Resulting Numbers: [80, 21]
Generated Node #0,0,1: 59:[80, 21] Operation: 76-55=21
Moving to Node #0,0,1
Current State: 59:[80, 21], Operations: ['58-3=55', '76-55=21']
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 |
hs_4
|
mult_heuristic
|
[
11,
55,
50,
81
] | 14 |
[
"81-11=70",
"55-50=5",
"70/5=14"
] |
Current State: 14:[11, 55, 50, 81], Operations: []
Exploring Operation: 81-11=70, Resulting Numbers: [55, 50, 70]
Generated Node #2: [55, 50, 70] from Operation: 81-11=70
Current State: 14:[55, 50, 70], Operations: ['81-11=70']
Exploring Operation: 55-50=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 55-50=5
Current State: 14:[70, 5], Operations: ['81-11=70', '55-50=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
Current State: 14:[11, 55, 50, 81], Operations: []
Exploring Operation: 81-50=31, Resulting Numbers: [11, 55, 31]
Generated Node #0,0: 14:[11, 55, 31] Operation: 81-50=31
Exploring Operation: 55-50=5, Resulting Numbers: [11, 81, 5]
Generated Node #0,1: 14:[11, 81, 5] Operation: 55-50=5
Exploring Operation: 81-55=26, Resulting Numbers: [11, 50, 26]
Generated Node #0,2: 14:[11, 50, 26] Operation: 81-55=26
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[11, 50, 26], Operations: ['81-55=26']
Exploring Operation: 26-11=15, Resulting Numbers: [50, 15]
Generated Node #0,2,0: 14:[50, 15] Operation: 26-11=15
Exploring Operation: 50-11=39, Resulting Numbers: [26, 39]
Generated Node #0,2,1: 14:[26, 39] Operation: 50-11=39
Exploring Operation: 50-26=24, Resulting Numbers: [11, 24]
Generated Node #0,2,2: 14:[11, 24] Operation: 50-26=24
Moving to Node #0,2,2
Current State: 14:[11, 24], Operations: ['81-55=26', '50-26=24']
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,14 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[50, 15], Operations: ['81-55=26', '26-11=15']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 50+15=65, Resulting Numbers: [65]
65,14 unequal: No Solution
Exploring Operation: 50*15=750, Resulting Numbers: [750]
750,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[26, 39], Operations: ['81-55=26', '50-11=39']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 26*39=1014, Resulting Numbers: [1014]
1014,14 unequal: No Solution
Exploring Operation: 26+39=65, Resulting Numbers: [65]
65,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[11, 55, 31], Operations: ['81-50=31']
Exploring Operation: 55-11=44, Resulting Numbers: [31, 44]
Generated Node #0,0,0: 14:[31, 44] Operation: 55-11=44
Exploring Operation: 55/11=5, Resulting Numbers: [31, 5]
Generated Node #0,0,1: 14:[31, 5] Operation: 55/11=5
Exploring Operation: 55-31=24, Resulting Numbers: [11, 24]
Generated Node #0,0,2: 14:[11, 24] Operation: 55-31=24
Moving to Node #0,0,2
Current State: 14:[11, 24], Operations: ['81-50=31', '55-31=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[31, 5], Operations: ['81-50=31', '55/11=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[31, 44], Operations: ['81-50=31', '55-11=44']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 31+44=75, Resulting Numbers: [75]
75,14 unequal: No Solution
Exploring Operation: 31*44=1364, Resulting Numbers: [1364]
1364,14 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 #0,1
Current State: 14:[11, 81, 5], Operations: ['55-50=5']
Exploring Operation: 81-5=76, Resulting Numbers: [11, 76]
Generated Node #0,1,0: 14:[11, 76] Operation: 81-5=76
Exploring Operation: 11-5=6, Resulting Numbers: [81, 6]
Generated Node #0,1,1: 14:[81, 6] Operation: 11-5=6
Exploring Operation: 81-11=70, Resulting Numbers: [5, 70]
Generated Node #0,1,2: 14:[5, 70] Operation: 81-11=70
Moving to Node #0,1,2
Current State: 14:[5, 70], Operations: ['55-50=5', '81-11=70']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,14 unequal: No Solution
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,14 unequal: No Solution
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[11, 55, 50, 81], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [11, 81, 5]
Generated Node #0,1: 14:[11, 81, 5] Operation: 55-50=5
Moving to Node #0,1
Current State: 14:[11, 81, 5], Operations: ['55-50=5']
Exploring Operation: 81-11=70, Resulting Numbers: [5, 70]
Generated Node #0,1,2: 14:[5, 70] Operation: 81-11=70
Moving to Node #0,1,2
Current State: 14:[5, 70], Operations: ['55-50=5', '81-11=70']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 |
hs_3
|
mult_heuristic
|
[
19,
23,
61,
14
] | 25 |
[
"23+61=84",
"84/14=6",
"19+6=25"
] |
Current State: 25:[19, 23, 61, 14], Operations: []
Exploring Operation: 23+61=84, Resulting Numbers: [19, 14, 84]
Generated Node #2: [19, 14, 84] from Operation: 23+61=84
Current State: 25:[19, 14, 84], Operations: ['23+61=84']
Exploring Operation: 84/14=6, Resulting Numbers: [19, 6]
Generated Node #3: [19, 6] from Operation: 84/14=6
Current State: 25:[19, 6], Operations: ['23+61=84', '84/14=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[19, 23, 61, 14], Operations: []
Exploring Operation: 61-19=42, Resulting Numbers: [23, 14, 42]
Generated Node #0,0: 25:[23, 14, 42] Operation: 61-19=42
Exploring Operation: 19-14=5, Resulting Numbers: [23, 61, 5]
Generated Node #0,1: 25:[23, 61, 5] Operation: 19-14=5
Exploring Operation: 61-23=38, Resulting Numbers: [19, 14, 38]
Generated Node #0,2: 25:[19, 14, 38] Operation: 61-23=38
Exploring Operation: 61-14=47, Resulting Numbers: [19, 23, 47]
Generated Node #0,3: 25:[19, 23, 47] Operation: 61-14=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[23, 14, 42], Operations: ['61-19=42']
Exploring Operation: 42-23=19, Resulting Numbers: [14, 19]
Generated Node #0,0,0: 25:[14, 19] Operation: 42-23=19
Exploring Operation: 23-14=9, Resulting Numbers: [42, 9]
Generated Node #0,0,1: 25:[42, 9] Operation: 23-14=9
Exploring Operation: 42/14=3, Resulting Numbers: [23, 3]
Generated Node #0,0,2: 25:[23, 3] Operation: 42/14=3
Exploring Operation: 42-14=28, Resulting Numbers: [23, 28]
Generated Node #0,0,3: 25:[23, 28] Operation: 42-14=28
Moving to Node #0,0,2
Current State: 25:[23, 3], Operations: ['61-19=42', '42/14=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,25 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[23, 28], Operations: ['61-19=42', '42-14=28']
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 23*28=644, Resulting Numbers: [644]
644,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[14, 19], Operations: ['61-19=42', '42-23=19']
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 14*19=266, Resulting Numbers: [266]
266,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[42, 9], Operations: ['61-19=42', '23-14=9']
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,25 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[19, 14, 38], Operations: ['61-23=38']
Exploring Operation: 38-19=19, Resulting Numbers: [14, 19]
Generated Node #0,2,0: 25:[14, 19] Operation: 38-19=19
Exploring Operation: 38/19=2, Resulting Numbers: [14, 2]
Generated Node #0,2,1: 25:[14, 2] Operation: 38/19=2
Exploring Operation: 19-14=5, Resulting Numbers: [38, 5]
Generated Node #0,2,2: 25:[38, 5] Operation: 19-14=5
Exploring Operation: 38-14=24, Resulting Numbers: [19, 24]
Generated Node #0,2,3: 25:[19, 24] Operation: 38-14=24
Moving to Node #0,2,3
Current State: 25:[19, 24], Operations: ['61-23=38', '38-14=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,25 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[14, 2], Operations: ['61-23=38', '38/19=2']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,25 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[38, 5], Operations: ['61-23=38', '19-14=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,25 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[14, 19], Operations: ['61-23=38', '38-19=19']
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 14*19=266, Resulting Numbers: [266]
266,25 unequal: No Solution
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[19, 23, 47], Operations: ['61-14=47']
Exploring Operation: 19+23=42, Resulting Numbers: [47, 42]
Generated Node #0,3,0: 25:[47, 42] Operation: 19+23=42
Exploring Operation: 47-19=28, Resulting Numbers: [23, 28]
Generated Node #0,3,1: 25:[23, 28] Operation: 47-19=28
Exploring Operation: 23-19=4, Resulting Numbers: [47, 4]
Generated Node #0,3,2: 25:[47, 4] Operation: 23-19=4
Exploring Operation: 47-23=24, Resulting Numbers: [19, 24]
Generated Node #0,3,3: 25:[19, 24] Operation: 47-23=24
Moving to Node #0,3,1
Current State: 25:[23, 28], Operations: ['61-14=47', '47-19=28']
Exploring Operation: 23*28=644, Resulting Numbers: [644]
644,25 unequal: No Solution
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[19, 24], Operations: ['61-14=47', '47-23=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[47, 4], Operations: ['61-14=47', '23-19=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 47*4=188, Resulting Numbers: [188]
188,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[47, 42], Operations: ['61-14=47', '19+23=42']
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 47*42=1974, Resulting Numbers: [1974]
1974,25 unequal: No Solution
Exploring Operation: 47+42=89, Resulting Numbers: [89]
89,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[23, 61, 5], Operations: ['19-14=5']
Exploring Operation: 61-23=38, Resulting Numbers: [5, 38]
Generated Node #0,1,0: 25:[5, 38] Operation: 61-23=38
Exploring Operation: 61-5=56, Resulting Numbers: [23, 56]
Generated Node #0,1,1: 25:[23, 56] Operation: 61-5=56
Exploring Operation: 23-5=18, Resulting Numbers: [61, 18]
Generated Node #0,1,2: 25:[61, 18] Operation: 23-5=18
Exploring Operation: 23+5=28, Resulting Numbers: [61, 28]
Generated Node #0,1,3: 25:[61, 28] Operation: 23+5=28
Moving to Node #0,1,0
Current State: 25:[5, 38], Operations: ['19-14=5', '61-23=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[23, 56], Operations: ['19-14=5', '61-5=56']
Exploring Operation: 23+56=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 23*56=1288, Resulting Numbers: [1288]
1288,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[61, 28], Operations: ['19-14=5', '23+5=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,25 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,25 unequal: No Solution
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[61, 18], Operations: ['19-14=5', '23-5=18']
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,25 unequal: No Solution
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 61*18=1098, Resulting Numbers: [1098]
1098,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
44,
73,
50,
38
] | 65 |
[
"44*73=3212",
"38+3212=3250",
"3250/50=65"
] |
Current State: 65:[44, 73, 50, 38], Operations: []
Exploring Operation: 44*73=3212, Resulting Numbers: [50, 38, 3212]
Generated Node #2: [50, 38, 3212] from Operation: 44*73=3212
Current State: 65:[50, 38, 3212], Operations: ['44*73=3212']
Exploring Operation: 38+3212=3250, Resulting Numbers: [50, 3250]
Generated Node #3: [50, 3250] from Operation: 38+3212=3250
Current State: 65:[50, 3250], Operations: ['44*73=3212', '38+3212=3250']
Exploring Operation: 3250/50=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[44, 73, 50, 38], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [73, 50, 6]
Generated Node #0,0: 65:[73, 50, 6] Operation: 44-38=6
Moving to Node #0,0
Current State: 65:[73, 50, 6], Operations: ['44-38=6']
Exploring Operation: 73-50=23, Resulting Numbers: [6, 23]
Generated Node #0,0,0: 65:[6, 23] Operation: 73-50=23
Moving to Node #0,0,0
Current State: 65:[6, 23], Operations: ['44-38=6', '73-50=23']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,65 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
21,
49,
56,
72
] | 74 |
[
"49-21=28",
"56/28=2",
"72+2=74"
] |
Current State: 74:[21, 49, 56, 72], Operations: []
Exploring Operation: 49-21=28, Resulting Numbers: [56, 72, 28]
Generated Node #2: [56, 72, 28] from Operation: 49-21=28
Current State: 74:[56, 72, 28], Operations: ['49-21=28']
Exploring Operation: 56/28=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 56/28=2
Current State: 74:[72, 2], Operations: ['49-21=28', '56/28=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[21, 49, 56, 72], Operations: []
Exploring Operation: 56-21=35, Resulting Numbers: [49, 72, 35]
Generated Node #0,0: 74:[49, 72, 35] Operation: 56-21=35
Moving to Node #0,0
Current State: 74:[49, 72, 35], Operations: ['56-21=35']
Exploring Operation: 49+35=84, Resulting Numbers: [72, 84]
Generated Node #0,0,0: 74:[72, 84] Operation: 49+35=84
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[72, 84], Operations: ['56-21=35', '49+35=84']
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,74 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
|
[
36,
79,
40,
24
] | 21 |
[
"79-36=43",
"40+24=64",
"64-43=21"
] |
Current State: 21:[36, 79, 40, 24], Operations: []
Exploring Operation: 79-36=43, Resulting Numbers: [40, 24, 43]
Generated Node #2: [40, 24, 43] from Operation: 79-36=43
Current State: 21:[40, 24, 43], Operations: ['79-36=43']
Exploring Operation: 40+24=64, Resulting Numbers: [43, 64]
Generated Node #3: [43, 64] from Operation: 40+24=64
Current State: 21:[43, 64], Operations: ['79-36=43', '40+24=64']
Exploring Operation: 64-43=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
Current State: 21:[36, 79, 40, 24], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [36, 24, 39]
Generated Node #0,0: 21:[36, 24, 39] Operation: 79-40=39
Exploring Operation: 79-24=55, Resulting Numbers: [36, 40, 55]
Generated Node #0,1: 21:[36, 40, 55] Operation: 79-24=55
Exploring Operation: 79-36=43, Resulting Numbers: [40, 24, 43]
Generated Node #0,2: 21:[40, 24, 43] Operation: 79-36=43
Exploring Operation: 40-36=4, Resulting Numbers: [79, 24, 4]
Generated Node #0,3: 21:[79, 24, 4] Operation: 40-36=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[36, 24, 39], Operations: ['79-40=39']
Exploring Operation: 36+24=60, Resulting Numbers: [39, 60]
Generated Node #0,0,0: 21:[39, 60] Operation: 36+24=60
Exploring Operation: 39-36=3, Resulting Numbers: [24, 3]
Generated Node #0,0,1: 21:[24, 3] Operation: 39-36=3
Exploring Operation: 36-24=12, Resulting Numbers: [39, 12]
Generated Node #0,0,2: 21:[39, 12] Operation: 36-24=12
Exploring Operation: 39-24=15, Resulting Numbers: [36, 15]
Generated Node #0,0,3: 21:[36, 15] Operation: 39-24=15
Moving to Node #0,0,1
Current State: 21:[24, 3], Operations: ['79-40=39', '39-36=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,21 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[36, 79, 40, 24], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [36, 24, 39]
Generated Node #0,0: 21:[36, 24, 39] Operation: 79-40=39
Moving to Node #0,0
Current State: 21:[36, 24, 39], Operations: ['79-40=39']
Exploring Operation: 39-36=3, Resulting Numbers: [24, 3]
Generated Node #0,0,1: 21:[24, 3] Operation: 39-36=3
Moving to Node #0,0,1
Current State: 21:[24, 3], Operations: ['79-40=39', '39-36=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_4
|
sum_heuristic
|
[
58,
92,
31,
3
] | 62 |
[
"92-58=34",
"31-3=28",
"34+28=62"
] |
Current State: 62:[58, 92, 31, 3], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [31, 3, 34]
Generated Node #2: [31, 3, 34] from Operation: 92-58=34
Current State: 62:[31, 3, 34], Operations: ['92-58=34']
Exploring Operation: 31-3=28, Resulting Numbers: [34, 28]
Generated Node #3: [34, 28] from Operation: 31-3=28
Current State: 62:[34, 28], Operations: ['92-58=34', '31-3=28']
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
Current State: 62:[58, 92, 31, 3], Operations: []
Exploring Operation: 92-3=89, Resulting Numbers: [58, 31, 89]
Generated Node #0,0: 62:[58, 31, 89] Operation: 92-3=89
Exploring Operation: 92-31=61, Resulting Numbers: [58, 3, 61]
Generated Node #0,1: 62:[58, 3, 61] Operation: 92-31=61
Exploring Operation: 92-58=34, Resulting Numbers: [31, 3, 34]
Generated Node #0,2: 62:[31, 3, 34] Operation: 92-58=34
Exploring Operation: 58-31=27, Resulting Numbers: [92, 3, 27]
Generated Node #0,3: 62:[92, 3, 27] Operation: 58-31=27
Exploring Operation: 58+3=61, Resulting Numbers: [92, 31, 61]
Generated Node #0,4: 62:[92, 31, 61] Operation: 58+3=61
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[31, 3, 34], Operations: ['92-58=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31, 31]
Generated Node #0,2,0: 62:[31, 31] Operation: 34-3=31
Exploring Operation: 31+34=65, Resulting Numbers: [3, 65]
Generated Node #0,2,1: 62:[3, 65] Operation: 31+34=65
Exploring Operation: 31+3=34, Resulting Numbers: [34, 34]
Generated Node #0,2,2: 62:[34, 34] Operation: 31+3=34
Exploring Operation: 34-31=3, Resulting Numbers: [3, 3]
Generated Node #0,2,3: 62:[3, 3] Operation: 34-31=3
Exploring Operation: 31-3=28, Resulting Numbers: [34, 28]
Generated Node #0,2,4: 62:[34, 28] Operation: 31-3=28
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[31, 31], Operations: ['92-58=34', '34-3=31']
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 31*31=961, Resulting Numbers: [961]
961,62 unequal: No Solution
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[58, 92, 31, 3], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [31, 3, 34]
Generated Node #0,2: 62:[31, 3, 34] Operation: 92-58=34
Moving to Node #0,2
Current State: 62:[31, 3, 34], Operations: ['92-58=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31, 31]
Generated Node #0,2,0: 62:[31, 31] Operation: 34-3=31
Moving to Node #0,2,0
Current State: 62:[31, 31], Operations: ['92-58=34', '34-3=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 |
hs_5
|
sum_heuristic
|
[
56,
72,
10,
3
] | 90 |
[
"56+10=66",
"72/3=24",
"66+24=90"
] |
Current State: 90:[56, 72, 10, 3], Operations: []
Exploring Operation: 56+10=66, Resulting Numbers: [72, 3, 66]
Generated Node #2: [72, 3, 66] from Operation: 56+10=66
Current State: 90:[72, 3, 66], Operations: ['56+10=66']
Exploring Operation: 72/3=24, Resulting Numbers: [66, 24]
Generated Node #3: [66, 24] from Operation: 72/3=24
Current State: 90:[66, 24], Operations: ['56+10=66', '72/3=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[56, 72, 10, 3], Operations: []
Exploring Operation: 72/3=24, Resulting Numbers: [56, 10, 24]
Generated Node #0,0: 90:[56, 10, 24] Operation: 72/3=24
Exploring Operation: 72-56=16, Resulting Numbers: [10, 3, 16]
Generated Node #0,1: 90:[10, 3, 16] Operation: 72-56=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[10, 3, 16], Operations: ['72-56=16']
Exploring Operation: 16-10=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 90:[3, 6] Operation: 16-10=6
Exploring Operation: 10*3=30, Resulting Numbers: [16, 30]
Generated Node #0,1,1: 90:[16, 30] Operation: 10*3=30
Moving to Node #0,1,0
Current State: 90:[3, 6], Operations: ['72-56=16', '16-10=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[16, 30], Operations: ['72-56=16', '10*3=30']
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[56, 10, 24], Operations: ['72/3=24']
Exploring Operation: 56-10=46, Resulting Numbers: [24, 46]
Generated Node #0,0,0: 90:[24, 46] Operation: 56-10=46
Exploring Operation: 56-24=32, Resulting Numbers: [10, 32]
Generated Node #0,0,1: 90:[10, 32] Operation: 56-24=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[10, 32], Operations: ['72/3=24', '56-24=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,90 unequal: No Solution
No 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: 90:[24, 46], Operations: ['72/3=24', '56-10=46']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
41,
9,
70,
17
] | 42 |
[
"41+70=111",
"9*17=153",
"153-111=42"
] |
Current State: 42:[41, 9, 70, 17], Operations: []
Exploring Operation: 41+70=111, Resulting Numbers: [9, 17, 111]
Generated Node #2: [9, 17, 111] from Operation: 41+70=111
Current State: 42:[9, 17, 111], Operations: ['41+70=111']
Exploring Operation: 9*17=153, Resulting Numbers: [111, 153]
Generated Node #3: [111, 153] from Operation: 9*17=153
Current State: 42:[111, 153], Operations: ['41+70=111', '9*17=153']
Exploring Operation: 153-111=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
Current State: 42:[41, 9, 70, 17], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [9, 17, 29]
Generated Node #0,0: 42:[9, 17, 29] Operation: 70-41=29
Moving to Node #0,0
Current State: 42:[9, 17, 29], Operations: ['70-41=29']
Exploring Operation: 29-9=20, Resulting Numbers: [17, 20]
Generated Node #0,0,0: 42:[17, 20] Operation: 29-9=20
Moving to Node #0,0,0
Current State: 42:[17, 20], Operations: ['70-41=29', '29-9=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,42 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
68,
78,
15,
19
] | 11 |
[
"68+78=146",
"19+146=165",
"165/15=11"
] |
Current State: 11:[68, 78, 15, 19], Operations: []
Exploring Operation: 68+78=146, Resulting Numbers: [15, 19, 146]
Generated Node #2: [15, 19, 146] from Operation: 68+78=146
Current State: 11:[15, 19, 146], Operations: ['68+78=146']
Exploring Operation: 19+146=165, Resulting Numbers: [15, 165]
Generated Node #3: [15, 165] from Operation: 19+146=165
Current State: 11:[15, 165], Operations: ['68+78=146', '19+146=165']
Exploring Operation: 165/15=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[68, 78, 15, 19], Operations: []
Exploring Operation: 78-15=63, Resulting Numbers: [68, 19, 63]
Generated Node #0,0: 11:[68, 19, 63] Operation: 78-15=63
Exploring Operation: 78-19=59, Resulting Numbers: [68, 15, 59]
Generated Node #0,1: 11:[68, 15, 59] Operation: 78-19=59
Exploring Operation: 68-15=53, Resulting Numbers: [78, 19, 53]
Generated Node #0,2: 11:[78, 19, 53] Operation: 68-15=53
Exploring Operation: 68-19=49, Resulting Numbers: [78, 15, 49]
Generated Node #0,3: 11:[78, 15, 49] Operation: 68-19=49
Exploring Operation: 78-68=10, Resulting Numbers: [15, 19, 10]
Generated Node #0,4: 11:[15, 19, 10] Operation: 78-68=10
Start Sub Search at level 1: Moving to Node #0,4
Current State: 11:[15, 19, 10], Operations: ['78-68=10']
Exploring Operation: 19-15=4, Resulting Numbers: [10, 4]
Generated Node #0,4,0: 11:[10, 4] Operation: 19-15=4
Exploring Operation: 15-10=5, Resulting Numbers: [19, 5]
Generated Node #0,4,1: 11:[19, 5] Operation: 15-10=5
Exploring Operation: 15+10=25, Resulting Numbers: [19, 25]
Generated Node #0,4,2: 11:[19, 25] Operation: 15+10=25
Exploring Operation: 19-10=9, Resulting Numbers: [15, 9]
Generated Node #0,4,3: 11:[15, 9] Operation: 19-10=9
Exploring Operation: 19+10=29, Resulting Numbers: [15, 29]
Generated Node #0,4,4: 11:[15, 29] Operation: 19+10=29
Moving to Node #0,4,3
Current State: 11:[15, 9], Operations: ['78-68=10', '19-10=9']
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,11 unequal: No Solution
Moving to Node #0,4,0
Current State: 11:[10, 4], Operations: ['78-68=10', '19-15=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Moving to Node #0,4,1
Current State: 11:[19, 5], Operations: ['78-68=10', '15-10=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,11 unequal: No Solution
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Moving to Node #0,4,2
Current State: 11:[19, 25], Operations: ['78-68=10', '15+10=25']
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 19*25=475, Resulting Numbers: [475]
475,11 unequal: No Solution
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Moving to Node #0,4,4
Current State: 11:[15, 29], Operations: ['78-68=10', '19+10=29']
Exploring Operation: 15*29=435, Resulting Numbers: [435]
435,11 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,11 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
Current State: 11:[68, 15, 59], Operations: ['78-19=59']
Exploring Operation: 59-15=44, Resulting Numbers: [68, 44]
Generated Node #0,1,0: 11:[68, 44] Operation: 59-15=44
Exploring Operation: 68-59=9, Resulting Numbers: [15, 9]
Generated Node #0,1,1: 11:[15, 9] Operation: 68-59=9
Exploring Operation: 68+59=127, Resulting Numbers: [15, 127]
Generated Node #0,1,2: 11:[15, 127] Operation: 68+59=127
Exploring Operation: 68+15=83, Resulting Numbers: [59, 83]
Generated Node #0,1,3: 11:[59, 83] Operation: 68+15=83
Exploring Operation: 68-15=53, Resulting Numbers: [59, 53]
Generated Node #0,1,4: 11:[59, 53] Operation: 68-15=53
Moving to Node #0,1,1
Current State: 11:[15, 9], Operations: ['78-19=59', '68-59=9']
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,11 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Moving to Node #0,1,4
Current State: 11:[59, 53], Operations: ['78-19=59', '68-15=53']
Exploring Operation: 59+53=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 59*53=3127, Resulting Numbers: [3127]
3127,11 unequal: No Solution
Exploring Operation: 59-53=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[68, 44], Operations: ['78-19=59', '59-15=44']
Exploring Operation: 68*44=2992, Resulting Numbers: [2992]
2992,11 unequal: No Solution
Exploring Operation: 68+44=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 68-44=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[15, 127], Operations: ['78-19=59', '68+59=127']
Exploring Operation: 15*127=1905, Resulting Numbers: [1905]
1905,11 unequal: No Solution
Exploring Operation: 15+127=142, Resulting Numbers: [142]
142,11 unequal: No Solution
Exploring Operation: 127-15=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[59, 83], Operations: ['78-19=59', '68+15=83']
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 59+83=142, Resulting Numbers: [142]
142,11 unequal: No Solution
Exploring Operation: 59*83=4897, Resulting Numbers: [4897]
4897,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[78, 15, 49], Operations: ['68-19=49']
Exploring Operation: 78+15=93, Resulting Numbers: [49, 93]
Generated Node #0,3,0: 11:[49, 93] Operation: 78+15=93
Exploring Operation: 78+49=127, Resulting Numbers: [15, 127]
Generated Node #0,3,1: 11:[15, 127] Operation: 78+49=127
Exploring Operation: 49-15=34, Resulting Numbers: [78, 34]
Generated Node #0,3,2: 11:[78, 34] Operation: 49-15=34
Exploring Operation: 78-15=63, Resulting Numbers: [49, 63]
Generated Node #0,3,3: 11:[49, 63] Operation: 78-15=63
Exploring Operation: 78-49=29, Resulting Numbers: [15, 29]
Generated Node #0,3,4: 11:[15, 29] Operation: 78-49=29
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 11:[15, 29], Operations: ['68-19=49', '78-49=29']
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 15*29=435, Resulting Numbers: [435]
435,11 unequal: No Solution
No 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: 11:[78, 34], Operations: ['68-19=49', '49-15=34']
Exploring Operation: 78*34=2652, Resulting Numbers: [2652]
2652,11 unequal: No Solution
Exploring Operation: 78+34=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 78-34=44, Resulting Numbers: [44]
44,11 unequal: No Solution
No 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: 11:[49, 63], Operations: ['68-19=49', '78-15=63']
Exploring Operation: 49*63=3087, Resulting Numbers: [3087]
3087,11 unequal: No Solution
Exploring Operation: 49+63=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,11 unequal: No Solution
No 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: 11:[49, 93], Operations: ['68-19=49', '78+15=93']
Exploring Operation: 49+93=142, Resulting Numbers: [142]
142,11 unequal: No Solution
Exploring Operation: 49*93=4557, Resulting Numbers: [4557]
4557,11 unequal: No Solution
Exploring Operation: 93-49=44, Resulting Numbers: [44]
44,11 unequal: No Solution
No 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: 11:[15, 127], Operations: ['68-19=49', '78+49=127']
Exploring Operation: 15+127=142, Resulting Numbers: [142]
142,11 unequal: No Solution
Exploring Operation: 127-15=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 15*127=1905, Resulting Numbers: [1905]
1905,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[68, 19, 63], Operations: ['78-15=63']
Exploring Operation: 63-19=44, Resulting Numbers: [68, 44]
Generated Node #0,0,0: 11:[68, 44] Operation: 63-19=44
Exploring Operation: 68+63=131, Resulting Numbers: [19, 131]
Generated Node #0,0,1: 11:[19, 131] Operation: 68+63=131
Exploring Operation: 68-19=49, Resulting Numbers: [63, 49]
Generated Node #0,0,2: 11:[63, 49] Operation: 68-19=49
Exploring Operation: 68-63=5, Resulting Numbers: [19, 5]
Generated Node #0,0,3: 11:[19, 5] Operation: 68-63=5
Exploring Operation: 68+19=87, Resulting Numbers: [63, 87]
Generated Node #0,0,4: 11:[63, 87] Operation: 68+19=87
Moving to Node #0,0,3
Current State: 11:[19, 5], Operations: ['78-15=63', '68-63=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[63, 49], Operations: ['78-15=63', '68-19=49']
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 63+49=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 63*49=3087, Resulting Numbers: [3087]
3087,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[68, 44], Operations: ['78-15=63', '63-19=44']
Exploring Operation: 68+44=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 68-44=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 68*44=2992, Resulting Numbers: [2992]
2992,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[19, 131], Operations: ['78-15=63', '68+63=131']
Exploring Operation: 19+131=150, Resulting Numbers: [150]
150,11 unequal: No Solution
Exploring Operation: 19*131=2489, Resulting Numbers: [2489]
2489,11 unequal: No Solution
Exploring Operation: 131-19=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Moving to Node #0,0,4
Current State: 11:[63, 87], Operations: ['78-15=63', '68+19=87']
Exploring Operation: 63*87=5481, Resulting Numbers: [5481]
5481,11 unequal: No Solution
Exploring Operation: 87-63=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 63+87=150, Resulting Numbers: [150]
150,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[78, 19, 53], Operations: ['68-15=53']
Exploring Operation: 78+53=131, Resulting Numbers: [19, 131]
Generated Node #0,2,0: 11:[19, 131] Operation: 78+53=131
Exploring Operation: 53-19=34, Resulting Numbers: [78, 34]
Generated Node #0,2,1: 11:[78, 34] Operation: 53-19=34
Exploring Operation: 78-53=25, Resulting Numbers: [19, 25]
Generated Node #0,2,2: 11:[19, 25] Operation: 78-53=25
Exploring Operation: 78-19=59, Resulting Numbers: [53, 59]
Generated Node #0,2,3: 11:[53, 59] Operation: 78-19=59
Exploring Operation: 78+19=97, Resulting Numbers: [53, 97]
Generated Node #0,2,4: 11:[53, 97] Operation: 78+19=97
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 11:[19, 25], Operations: ['68-15=53', '78-53=25']
Exploring Operation: 19*25=475, Resulting Numbers: [475]
475,11 unequal: No Solution
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,11 unequal: No Solution
No 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: 11:[78, 34], Operations: ['68-15=53', '53-19=34']
Exploring Operation: 78*34=2652, Resulting Numbers: [2652]
2652,11 unequal: No Solution
Exploring Operation: 78-34=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 78+34=112, Resulting Numbers: [112]
112,11 unequal: No Solution
No 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: 11:[53, 59], Operations: ['68-15=53', '78-19=59']
Exploring Operation: 53*59=3127, Resulting Numbers: [3127]
3127,11 unequal: No Solution
Exploring Operation: 53+59=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 59-53=6, Resulting Numbers: [6]
6,11 unequal: No Solution
No 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: 11:[19, 131], Operations: ['68-15=53', '78+53=131']
Exploring Operation: 131-19=112, Resulting Numbers: [112]
112,11 unequal: No Solution
Exploring Operation: 19+131=150, Resulting Numbers: [150]
150,11 unequal: No Solution
Exploring Operation: 19*131=2489, Resulting Numbers: [2489]
2489,11 unequal: No Solution
No 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: 11:[53, 97], Operations: ['68-15=53', '78+19=97']
Exploring Operation: 53*97=5141, Resulting Numbers: [5141]
5141,11 unequal: No Solution
Exploring Operation: 97-53=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 53+97=150, Resulting Numbers: [150]
150,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
77,
81,
13,
85
] | 16 |
[
"77-13=64",
"85-81=4",
"64/4=16"
] |
Current State: 16:[77, 81, 13, 85], Operations: []
Exploring Operation: 77-13=64, Resulting Numbers: [81, 85, 64]
Generated Node #2: [81, 85, 64] from Operation: 77-13=64
Current State: 16:[81, 85, 64], Operations: ['77-13=64']
Exploring Operation: 85-81=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 85-81=4
Current State: 16:[64, 4], Operations: ['77-13=64', '85-81=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
Current State: 16:[77, 81, 13, 85], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [77, 13, 4]
Generated Node #0,0: 16:[77, 13, 4] Operation: 85-81=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[77, 13, 4], Operations: ['85-81=4']
Exploring Operation: 77-13=64, Resulting Numbers: [4, 64]
Generated Node #0,0,0: 16:[4, 64] Operation: 77-13=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[4, 64], Operations: ['85-81=4', '77-13=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[77, 81, 13, 85], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [77, 13, 4]
Generated Node #0,0: 16:[77, 13, 4] Operation: 85-81=4
Moving to Node #0,0
Current State: 16:[77, 13, 4], Operations: ['85-81=4']
Exploring Operation: 77-13=64, Resulting Numbers: [4, 64]
Generated Node #0,0,0: 16:[4, 64] Operation: 77-13=64
Moving to Node #0,0,0
Current State: 16:[4, 64], Operations: ['85-81=4', '77-13=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
28,
81,
50,
33
] | 11 |
[
"81-28=53",
"53-50=3",
"33/3=11"
] |
Current State: 11:[28, 81, 50, 33], Operations: []
Exploring Operation: 81-28=53, Resulting Numbers: [50, 33, 53]
Generated Node #2: [50, 33, 53] from Operation: 81-28=53
Current State: 11:[50, 33, 53], Operations: ['81-28=53']
Exploring Operation: 53-50=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 53-50=3
Current State: 11:[33, 3], Operations: ['81-28=53', '53-50=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[28, 81, 50, 33], Operations: []
Exploring Operation: 81-28=53, Resulting Numbers: [50, 33, 53]
Generated Node #0,0: 11:[50, 33, 53] Operation: 81-28=53
Exploring Operation: 81-33=48, Resulting Numbers: [28, 50, 48]
Generated Node #0,1: 11:[28, 50, 48] Operation: 81-33=48
Exploring Operation: 50-33=17, Resulting Numbers: [28, 81, 17]
Generated Node #0,2: 11:[28, 81, 17] Operation: 50-33=17
Exploring Operation: 81-50=31, Resulting Numbers: [28, 33, 31]
Generated Node #0,3: 11:[28, 33, 31] Operation: 81-50=31
Moving to Node #0,3
Current State: 11:[28, 33, 31], Operations: ['81-50=31']
Exploring Operation: 33-31=2, Resulting Numbers: [28, 2]
Generated Node #0,3,0: 11:[28, 2] Operation: 33-31=2
Exploring Operation: 31-28=3, Resulting Numbers: [33, 3]
Generated Node #0,3,1: 11:[33, 3] Operation: 31-28=3
Exploring Operation: 28+33=61, Resulting Numbers: [31, 61]
Generated Node #0,3,2: 11:[31, 61] Operation: 28+33=61
Exploring Operation: 33-28=5, Resulting Numbers: [31, 5]
Generated Node #0,3,3: 11:[31, 5] Operation: 33-28=5
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[28, 2], Operations: ['81-50=31', '33-31=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,11 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 #0,3,3
Current State: 11:[31, 5], Operations: ['81-50=31', '33-28=5']
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,11 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,11 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:[33, 3], Operations: ['81-50=31', '31-28=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,11 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[28, 81, 50, 33], Operations: []
Exploring Operation: 81-50=31, Resulting Numbers: [28, 33, 31]
Generated Node #0,3: 11:[28, 33, 31] Operation: 81-50=31
Moving to Node #0,3
Current State: 11:[28, 33, 31], Operations: ['81-50=31']
Exploring Operation: 31-28=3, Resulting Numbers: [33, 3]
Generated Node #0,3,1: 11:[33, 3] Operation: 31-28=3
Moving to Node #0,3,1
Current State: 11:[33, 3], Operations: ['81-50=31', '31-28=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 |
hs_4
|
mult_heuristic
|
[
96,
28,
72,
86
] | 34 |
[
"96+28=124",
"72+86=158",
"158-124=34"
] |
Current State: 34:[96, 28, 72, 86], Operations: []
Exploring Operation: 96+28=124, Resulting Numbers: [72, 86, 124]
Generated Node #2: [72, 86, 124] from Operation: 96+28=124
Current State: 34:[72, 86, 124], Operations: ['96+28=124']
Exploring Operation: 72+86=158, Resulting Numbers: [124, 158]
Generated Node #3: [124, 158] from Operation: 72+86=158
Current State: 34:[124, 158], Operations: ['96+28=124', '72+86=158']
Exploring Operation: 158-124=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[96, 28, 72, 86], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [96, 28, 14]
Generated Node #0,0: 34:[96, 28, 14] Operation: 86-72=14
Exploring Operation: 96-28=68, Resulting Numbers: [72, 86, 68]
Generated Node #0,1: 34:[72, 86, 68] Operation: 96-28=68
Exploring Operation: 72-28=44, Resulting Numbers: [96, 86, 44]
Generated Node #0,2: 34:[96, 86, 44] Operation: 72-28=44
Exploring Operation: 96-86=10, Resulting Numbers: [28, 72, 10]
Generated Node #0,3: 34:[28, 72, 10] Operation: 96-86=10
Exploring Operation: 96-72=24, Resulting Numbers: [28, 86, 24]
Generated Node #0,4: 34:[28, 86, 24] Operation: 96-72=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 34:[28, 72, 10], Operations: ['96-86=10']
Exploring Operation: 72-10=62, Resulting Numbers: [28, 62]
Generated Node #0,3,0: 34:[28, 62] Operation: 72-10=62
Exploring Operation: 72+10=82, Resulting Numbers: [28, 82]
Generated Node #0,3,1: 34:[28, 82] Operation: 72+10=82
Exploring Operation: 72-28=44, Resulting Numbers: [10, 44]
Generated Node #0,3,2: 34:[10, 44] Operation: 72-28=44
Exploring Operation: 28+10=38, Resulting Numbers: [72, 38]
Generated Node #0,3,3: 34:[72, 38] Operation: 28+10=38
Exploring Operation: 28-10=18, Resulting Numbers: [72, 18]
Generated Node #0,3,4: 34:[72, 18] Operation: 28-10=18
Moving to Node #0,3,2
Current State: 34:[10, 44], Operations: ['96-86=10', '72-28=44']
Exploring Operation: 10*44=440, Resulting Numbers: [440]
440,34 unequal: No Solution
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[96, 28, 72, 86], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [28, 72, 10]
Generated Node #0,3: 34:[28, 72, 10] Operation: 96-86=10
Moving to Node #0,3
Current State: 34:[28, 72, 10], Operations: ['96-86=10']
Exploring Operation: 72-28=44, Resulting Numbers: [10, 44]
Generated Node #0,3,2: 34:[10, 44] Operation: 72-28=44
Moving to Node #0,3,2
Current State: 34:[10, 44], Operations: ['96-86=10', '72-28=44']
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_5
|
mult_heuristic
|
[
92,
17,
17,
96
] | 68 |
[
"92*17=1564",
"17*96=1632",
"1632-1564=68"
] |
Current State: 68:[92, 17, 17, 96], Operations: []
Exploring Operation: 92*17=1564, Resulting Numbers: [96, 1564]
Generated Node #2: [96, 1564] from Operation: 92*17=1564
Current State: 68:[96, 1564], Operations: ['92*17=1564']
Exploring Operation: 17*96=1632, Resulting Numbers: [1564, 1632]
Generated Node #3: [1564, 1632] from Operation: 17*96=1632
Current State: 68:[1564, 1632], Operations: ['92*17=1564', '17*96=1632']
Exploring Operation: 1632-1564=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[92, 17, 17, 96], Operations: []
Exploring Operation: 96-17=79, Resulting Numbers: [92, 17, 79]
Generated Node #0,0: 68:[92, 17, 79] Operation: 96-17=79
Exploring Operation: 92-17=75, Resulting Numbers: [17, 96, 75]
Generated Node #0,1: 68:[17, 96, 75] Operation: 92-17=75
Exploring Operation: 96-17=79, Resulting Numbers: [92, 17, 79]
Generated Node #0,2: 68:[92, 17, 79] Operation: 96-17=79
Exploring Operation: 96-92=4, Resulting Numbers: [17, 17, 4]
Generated Node #0,3: 68:[17, 17, 4] Operation: 96-92=4
Exploring Operation: 92-17=75, Resulting Numbers: [17, 96, 75]
Generated Node #0,4: 68:[17, 96, 75] Operation: 92-17=75
Start Sub Search at level 1: Moving to Node #0,3
Current State: 68:[17, 17, 4], Operations: ['96-92=4']
Exploring Operation: 17+17=34, Resulting Numbers: [4, 34]
Generated Node #0,3,0: 68:[4, 34] Operation: 17+17=34
Exploring Operation: 17*4=68, Resulting Numbers: [17, 68]
Generated Node #0,3,1: 68:[17, 68] Operation: 17*4=68
Exploring Operation: 17/17=1, Resulting Numbers: [4, 1]
Generated Node #0,3,2: 68:[4, 1] Operation: 17/17=1
Exploring Operation: 17-17=0, Resulting Numbers: [4, 0]
Generated Node #0,3,3: 68:[4, 0] Operation: 17-17=0
Exploring Operation: 17*4=68, Resulting Numbers: [17, 68]
Generated Node #0,3,4: 68:[17, 68] Operation: 17*4=68
Moving to Node #0,3,0
Current State: 68:[4, 34], Operations: ['96-92=4', '17+17=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,68 unequal: No Solution
Moving to Node #0,3,4
Current State: 68:[17, 68], Operations: ['96-92=4', '17*4=68']
Exploring Operation: 68/17=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 68-17=51, Resulting Numbers: [51]
51,68 unequal: No Solution
Exploring Operation: 17*68=1156, Resulting Numbers: [1156]
1156,68 unequal: No Solution
Exploring Operation: 17+68=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,3,1
Current State: 68:[17, 68], Operations: ['96-92=4', '17*4=68']
Exploring Operation: 68-17=51, Resulting Numbers: [51]
51,68 unequal: No Solution
Exploring Operation: 68/17=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 17*68=1156, Resulting Numbers: [1156]
1156,68 unequal: No Solution
Exploring Operation: 17+68=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,3,2
Current State: 68:[4, 1], Operations: ['96-92=4', '17/17=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Moving to Node #0,3,3
Current State: 68:[4, 0], Operations: ['96-92=4', '17-17=0']
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,68 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[92, 17, 79], Operations: ['96-17=79']
Exploring Operation: 92-79=13, Resulting Numbers: [17, 13]
Generated Node #0,0,0: 68:[17, 13] Operation: 92-79=13
Exploring Operation: 79-17=62, Resulting Numbers: [92, 62]
Generated Node #0,0,1: 68:[92, 62] Operation: 79-17=62
Exploring Operation: 17+79=96, Resulting Numbers: [92, 96]
Generated Node #0,0,2: 68:[92, 96] Operation: 17+79=96
Exploring Operation: 92-17=75, Resulting Numbers: [79, 75]
Generated Node #0,0,3: 68:[79, 75] Operation: 92-17=75
Exploring Operation: 92+17=109, Resulting Numbers: [79, 109]
Generated Node #0,0,4: 68:[79, 109] Operation: 92+17=109
Moving to Node #0,0,0
Current State: 68:[17, 13], Operations: ['96-17=79', '92-79=13']
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,68 unequal: No Solution
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[79, 75], Operations: ['96-17=79', '92-17=75']
Exploring Operation: 79*75=5925, Resulting Numbers: [5925]
5925,68 unequal: No Solution
Exploring Operation: 79+75=154, Resulting Numbers: [154]
154,68 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[92, 62], Operations: ['96-17=79', '79-17=62']
Exploring Operation: 92+62=154, Resulting Numbers: [154]
154,68 unequal: No Solution
Exploring Operation: 92-62=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 92*62=5704, Resulting Numbers: [5704]
5704,68 unequal: No Solution
Moving to Node #0,0,2
Current State: 68:[92, 96], Operations: ['96-17=79', '17+79=96']
Exploring Operation: 96-92=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 92+96=188, Resulting Numbers: [188]
188,68 unequal: No Solution
Exploring Operation: 92*96=8832, Resulting Numbers: [8832]
8832,68 unequal: No Solution
Moving to Node #0,0,4
Current State: 68:[79, 109], Operations: ['96-17=79', '92+17=109']
Exploring Operation: 109-79=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 79+109=188, Resulting Numbers: [188]
188,68 unequal: No Solution
Exploring Operation: 79*109=8611, Resulting Numbers: [8611]
8611,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[17, 96, 75], Operations: ['92-17=75']
Exploring Operation: 17+96=113, Resulting Numbers: [75, 113]
Generated Node #0,1,0: 68:[75, 113] Operation: 17+96=113
Exploring Operation: 17+75=92, Resulting Numbers: [96, 92]
Generated Node #0,1,1: 68:[96, 92] Operation: 17+75=92
Exploring Operation: 75-17=58, Resulting Numbers: [96, 58]
Generated Node #0,1,2: 68:[96, 58] Operation: 75-17=58
Exploring Operation: 96-17=79, Resulting Numbers: [75, 79]
Generated Node #0,1,3: 68:[75, 79] Operation: 96-17=79
Exploring Operation: 96-75=21, Resulting Numbers: [17, 21]
Generated Node #0,1,4: 68:[17, 21] Operation: 96-75=21
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 68:[17, 21], Operations: ['92-17=75', '96-75=21']
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,68 unequal: No Solution
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,68 unequal: No Solution
No 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: 68:[75, 79], Operations: ['92-17=75', '96-17=79']
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,68 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,68 unequal: No Solution
No 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: 68:[96, 58], Operations: ['92-17=75', '75-17=58']
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 96+58=154, Resulting Numbers: [154]
154,68 unequal: No Solution
Exploring Operation: 96*58=5568, Resulting Numbers: [5568]
5568,68 unequal: No Solution
No 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: 68:[75, 113], Operations: ['92-17=75', '17+96=113']
Exploring Operation: 113-75=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 75*113=8475, Resulting Numbers: [8475]
8475,68 unequal: No Solution
Exploring Operation: 75+113=188, Resulting Numbers: [188]
188,68 unequal: No Solution
No 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: 68:[96, 92], Operations: ['92-17=75', '17+75=92']
Exploring Operation: 96+92=188, Resulting Numbers: [188]
188,68 unequal: No Solution
Exploring Operation: 96-92=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 96*92=8832, Resulting Numbers: [8832]
8832,68 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: 68:[92, 17, 79], Operations: ['96-17=79']
Exploring Operation: 92-79=13, Resulting Numbers: [17, 13]
Generated Node #0,2,0: 68:[17, 13] Operation: 92-79=13
Exploring Operation: 92-17=75, Resulting Numbers: [79, 75]
Generated Node #0,2,1: 68:[79, 75] Operation: 92-17=75
Exploring Operation: 79-17=62, Resulting Numbers: [92, 62]
Generated Node #0,2,2: 68:[92, 62] Operation: 79-17=62
Exploring Operation: 17+79=96, Resulting Numbers: [92, 96]
Generated Node #0,2,3: 68:[92, 96] Operation: 17+79=96
Exploring Operation: 92+17=109, Resulting Numbers: [79, 109]
Generated Node #0,2,4: 68:[79, 109] Operation: 92+17=109
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 68:[17, 13], Operations: ['96-17=79', '92-79=13']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,68 unequal: No Solution
No 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: 68:[79, 75], Operations: ['96-17=79', '92-17=75']
Exploring Operation: 79*75=5925, Resulting Numbers: [5925]
5925,68 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 79+75=154, Resulting Numbers: [154]
154,68 unequal: No Solution
No 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: 68:[92, 62], Operations: ['96-17=79', '79-17=62']
Exploring Operation: 92+62=154, Resulting Numbers: [154]
154,68 unequal: No Solution
Exploring Operation: 92-62=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 92*62=5704, Resulting Numbers: [5704]
5704,68 unequal: No Solution
No 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: 68:[92, 96], Operations: ['96-17=79', '17+79=96']
Exploring Operation: 96-92=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 92*96=8832, Resulting Numbers: [8832]
8832,68 unequal: No Solution
Exploring Operation: 92+96=188, Resulting Numbers: [188]
188,68 unequal: No Solution
No 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: 68:[79, 109], Operations: ['96-17=79', '92+17=109']
Exploring Operation: 79*109=8611, Resulting Numbers: [8611]
8611,68 unequal: No Solution
Exploring Operation: 79+109=188, Resulting Numbers: [188]
188,68 unequal: No Solution
Exploring Operation: 109-79=30, Resulting Numbers: [30]
30,68 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: 68:[17, 96, 75], Operations: ['92-17=75']
Exploring Operation: 17+96=113, Resulting Numbers: [75, 113]
Generated Node #0,4,0: 68:[75, 113] Operation: 17+96=113
Exploring Operation: 96-75=21, Resulting Numbers: [17, 21]
Generated Node #0,4,1: 68:[17, 21] Operation: 96-75=21
Exploring Operation: 96-17=79, Resulting Numbers: [75, 79]
Generated Node #0,4,2: 68:[75, 79] Operation: 96-17=79
Exploring Operation: 17+75=92, Resulting Numbers: [96, 92]
Generated Node #0,4,3: 68:[96, 92] Operation: 17+75=92
Exploring Operation: 75-17=58, Resulting Numbers: [96, 58]
Generated Node #0,4,4: 68:[96, 58] Operation: 75-17=58
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 68:[17, 21], Operations: ['92-17=75', '96-75=21']
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,68 unequal: No Solution
No 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: 68:[75, 79], Operations: ['92-17=75', '96-17=79']
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,68 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,68 unequal: No Solution
No 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: 68:[96, 58], Operations: ['92-17=75', '75-17=58']
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 96*58=5568, Resulting Numbers: [5568]
5568,68 unequal: No Solution
Exploring Operation: 96+58=154, Resulting Numbers: [154]
154,68 unequal: No Solution
No 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: 68:[75, 113], Operations: ['92-17=75', '17+96=113']
Exploring Operation: 75*113=8475, Resulting Numbers: [8475]
8475,68 unequal: No Solution
Exploring Operation: 113-75=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 75+113=188, Resulting Numbers: [188]
188,68 unequal: No Solution
No 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: 68:[96, 92], Operations: ['92-17=75', '17+75=92']
Exploring Operation: 96-92=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 96+92=188, Resulting Numbers: [188]
188,68 unequal: No Solution
Exploring Operation: 96*92=8832, Resulting Numbers: [8832]
8832,68 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
|
[
18,
58,
27,
67
] | 18 |
[
"18+58=76",
"27+67=94",
"94-76=18"
] |
Current State: 18:[18, 58, 27, 67], Operations: []
Exploring Operation: 18+58=76, Resulting Numbers: [27, 67, 76]
Generated Node #2: [27, 67, 76] from Operation: 18+58=76
Current State: 18:[27, 67, 76], Operations: ['18+58=76']
Exploring Operation: 27+67=94, Resulting Numbers: [76, 94]
Generated Node #3: [76, 94] from Operation: 27+67=94
Current State: 18:[76, 94], Operations: ['18+58=76', '27+67=94']
Exploring Operation: 94-76=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[18, 58, 27, 67], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [18, 27, 9]
Generated Node #0,0: 18:[18, 27, 9] Operation: 67-58=9
Exploring Operation: 58-27=31, Resulting Numbers: [18, 67, 31]
Generated Node #0,1: 18:[18, 67, 31] Operation: 58-27=31
Exploring Operation: 67-27=40, Resulting Numbers: [18, 58, 40]
Generated Node #0,2: 18:[18, 58, 40] Operation: 67-27=40
Exploring Operation: 58-18=40, Resulting Numbers: [27, 67, 40]
Generated Node #0,3: 18:[27, 67, 40] Operation: 58-18=40
Moving to Node #0,0
Current State: 18:[18, 27, 9], Operations: ['67-58=9']
Exploring Operation: 27/9=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 18:[18, 3] Operation: 27/9=3
Exploring Operation: 27-9=18, Resulting Numbers: [18, 18]
Generated Node #0,0,1: 18:[18, 18] Operation: 27-9=18
Exploring Operation: 18-9=9, Resulting Numbers: [27, 9]
Generated Node #0,0,2: 18:[27, 9] Operation: 18-9=9
Exploring Operation: 27-18=9, Resulting Numbers: [9, 9]
Generated Node #0,0,3: 18:[9, 9] Operation: 27-18=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[18, 3], Operations: ['67-58=9', '27/9=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,18 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,18 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[18, 18], Operations: ['67-58=9', '27-9=18']
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,18 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,18 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 18:[9, 9], Operations: ['67-58=9', '27-18=9']
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,18 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[18, 58, 27, 67], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [18, 27, 9]
Generated Node #0,0: 18:[18, 27, 9] Operation: 67-58=9
Moving to Node #0,0
Current State: 18:[18, 27, 9], Operations: ['67-58=9']
Exploring Operation: 27-18=9, Resulting Numbers: [9, 9]
Generated Node #0,0,3: 18:[9, 9] Operation: 27-18=9
Moving to Node #0,0,3
Current State: 18:[9, 9], Operations: ['67-58=9', '27-18=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 |
hs_4
|
sum_heuristic
|
[
71,
94,
98,
48
] | 73 |
[
"94-71=23",
"98-48=50",
"23+50=73"
] |
Current State: 73:[71, 94, 98, 48], Operations: []
Exploring Operation: 94-71=23, Resulting Numbers: [98, 48, 23]
Generated Node #2: [98, 48, 23] from Operation: 94-71=23
Current State: 73:[98, 48, 23], Operations: ['94-71=23']
Exploring Operation: 98-48=50, Resulting Numbers: [23, 50]
Generated Node #3: [23, 50] from Operation: 98-48=50
Current State: 73:[23, 50], Operations: ['94-71=23', '98-48=50']
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[71, 94, 98, 48], Operations: []
Exploring Operation: 98-48=50, Resulting Numbers: [71, 94, 50]
Generated Node #0,0: 73:[71, 94, 50] Operation: 98-48=50
Exploring Operation: 98-71=27, Resulting Numbers: [94, 48, 27]
Generated Node #0,1: 73:[94, 48, 27] Operation: 98-71=27
Exploring Operation: 94-48=46, Resulting Numbers: [71, 98, 46]
Generated Node #0,2: 73:[71, 98, 46] Operation: 94-48=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[71, 94, 50], Operations: ['98-48=50']
Exploring Operation: 94-71=23, Resulting Numbers: [50, 23]
Generated Node #0,0,0: 73:[50, 23] Operation: 94-71=23
Exploring Operation: 71+50=121, Resulting Numbers: [94, 121]
Generated Node #0,0,1: 73:[94, 121] Operation: 71+50=121
Exploring Operation: 94-50=44, Resulting Numbers: [71, 44]
Generated Node #0,0,2: 73:[71, 44] Operation: 94-50=44
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[71, 44], Operations: ['98-48=50', '94-50=44']
Exploring Operation: 71+44=115, Resulting Numbers: [115]
115,73 unequal: No Solution
Exploring Operation: 71*44=3124, Resulting Numbers: [3124]
3124,73 unequal: No Solution
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,73 unequal: No Solution
No 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: 73:[94, 121], Operations: ['98-48=50', '71+50=121']
Exploring Operation: 121-94=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 94*121=11374, Resulting Numbers: [11374]
11374,73 unequal: No Solution
Exploring Operation: 94+121=215, Resulting Numbers: [215]
215,73 unequal: No Solution
No 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: 73:[50, 23], Operations: ['98-48=50', '94-71=23']
Exploring Operation: 50*23=1150, Resulting Numbers: [1150]
1150,73 unequal: No Solution
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 50+23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[71, 94, 98, 48], Operations: []
Exploring Operation: 98-48=50, Resulting Numbers: [71, 94, 50]
Generated Node #0,0: 73:[71, 94, 50] Operation: 98-48=50
Moving to Node #0,0
Current State: 73:[71, 94, 50], Operations: ['98-48=50']
Exploring Operation: 94-71=23, Resulting Numbers: [50, 23]
Generated Node #0,0,0: 73:[50, 23] Operation: 94-71=23
Moving to Node #0,0,0
Current State: 73:[50, 23], Operations: ['98-48=50', '94-71=23']
Exploring Operation: 50+23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 |
hs_3
|
sum_heuristic
|
[
66,
69,
31,
89
] | 28 |
[
"89-66=23",
"69/23=3",
"31-3=28"
] |
Current State: 28:[66, 69, 31, 89], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [69, 31, 23]
Generated Node #2: [69, 31, 23] from Operation: 89-66=23
Current State: 28:[69, 31, 23], Operations: ['89-66=23']
Exploring Operation: 69/23=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 69/23=3
Current State: 28:[31, 3], Operations: ['89-66=23', '69/23=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
Current State: 28:[66, 69, 31, 89], Operations: []
Exploring Operation: 69-31=38, Resulting Numbers: [66, 89, 38]
Generated Node #0,0: 28:[66, 89, 38] Operation: 69-31=38
Exploring Operation: 89-66=23, Resulting Numbers: [69, 31, 23]
Generated Node #0,1: 28:[69, 31, 23] Operation: 89-66=23
Exploring Operation: 89-69=20, Resulting Numbers: [66, 31, 20]
Generated Node #0,2: 28:[66, 31, 20] Operation: 89-69=20
Exploring Operation: 66-31=35, Resulting Numbers: [69, 89, 35]
Generated Node #0,3: 28:[69, 89, 35] Operation: 66-31=35
Exploring Operation: 69-66=3, Resulting Numbers: [31, 89, 3]
Generated Node #0,4: 28:[31, 89, 3] Operation: 69-66=3
Moving to Node #0,2
Current State: 28:[66, 31, 20], Operations: ['89-69=20']
Exploring Operation: 66+20=86, Resulting Numbers: [31, 86]
Generated Node #0,2,0: 28:[31, 86] Operation: 66+20=86
Exploring Operation: 66-31=35, Resulting Numbers: [20, 35]
Generated Node #0,2,1: 28:[20, 35] Operation: 66-31=35
Exploring Operation: 31-20=11, Resulting Numbers: [66, 11]
Generated Node #0,2,2: 28:[66, 11] Operation: 31-20=11
Exploring Operation: 66-20=46, Resulting Numbers: [31, 46]
Generated Node #0,2,3: 28:[31, 46] Operation: 66-20=46
Exploring Operation: 31+20=51, Resulting Numbers: [66, 51]
Generated Node #0,2,4: 28:[66, 51] Operation: 31+20=51
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 28:[20, 35], Operations: ['89-69=20', '66-31=35']
Exploring Operation: 20*35=700, Resulting Numbers: [700]
700,28 unequal: No Solution
Exploring Operation: 20+35=55, Resulting Numbers: [55]
55,28 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 28:[31, 46], Operations: ['89-69=20', '66-20=46']
Exploring Operation: 31+46=77, Resulting Numbers: [77]
77,28 unequal: No Solution
Exploring Operation: 31*46=1426, Resulting Numbers: [1426]
1426,28 unequal: No Solution
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 28:[66, 11], Operations: ['89-69=20', '31-20=11']
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 66*11=726, Resulting Numbers: [726]
726,28 unequal: No Solution
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,28 unequal: No Solution
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[31, 86], Operations: ['89-69=20', '66+20=86']
Exploring Operation: 31+86=117, Resulting Numbers: [117]
117,28 unequal: No Solution
Exploring Operation: 31*86=2666, Resulting Numbers: [2666]
2666,28 unequal: No Solution
Exploring Operation: 86-31=55, Resulting Numbers: [55]
55,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 28:[66, 51], Operations: ['89-69=20', '31+20=51']
Exploring Operation: 66*51=3366, Resulting Numbers: [3366]
3366,28 unequal: No Solution
Exploring Operation: 66+51=117, Resulting Numbers: [117]
117,28 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 28:[69, 31, 23], Operations: ['89-66=23']
Exploring Operation: 69-31=38, Resulting Numbers: [23, 38]
Generated Node #0,1,0: 28:[23, 38] Operation: 69-31=38
Exploring Operation: 69+23=92, Resulting Numbers: [31, 92]
Generated Node #0,1,1: 28:[31, 92] Operation: 69+23=92
Exploring Operation: 69-23=46, Resulting Numbers: [31, 46]
Generated Node #0,1,2: 28:[31, 46] Operation: 69-23=46
Exploring Operation: 31-23=8, Resulting Numbers: [69, 8]
Generated Node #0,1,3: 28:[69, 8] Operation: 31-23=8
Exploring Operation: 69/23=3, Resulting Numbers: [31, 3]
Generated Node #0,1,4: 28:[31, 3] Operation: 69/23=3
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 28:[31, 3], Operations: ['89-66=23', '69/23=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,28 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[66, 69, 31, 89], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [69, 31, 23]
Generated Node #0,1: 28:[69, 31, 23] Operation: 89-66=23
Moving to Node #0,1
Current State: 28:[69, 31, 23], Operations: ['89-66=23']
Exploring Operation: 69/23=3, Resulting Numbers: [31, 3]
Generated Node #0,1,4: 28:[31, 3] Operation: 69/23=3
Moving to Node #0,1,4
Current State: 28:[31, 3], Operations: ['89-66=23', '69/23=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 |
hs_5
|
sum_heuristic
|
[
54,
52,
53,
90
] | 63 |
[
"52+53=105",
"54*105=5670",
"5670/90=63"
] |
Current State: 63:[54, 52, 53, 90], Operations: []
Exploring Operation: 52+53=105, Resulting Numbers: [54, 90, 105]
Generated Node #2: [54, 90, 105] from Operation: 52+53=105
Current State: 63:[54, 90, 105], Operations: ['52+53=105']
Exploring Operation: 54*105=5670, Resulting Numbers: [90, 5670]
Generated Node #3: [90, 5670] from Operation: 54*105=5670
Current State: 63:[90, 5670], Operations: ['52+53=105', '54*105=5670']
Exploring Operation: 5670/90=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[54, 52, 53, 90], Operations: []
Exploring Operation: 90-53=37, Resulting Numbers: [54, 52, 37]
Generated Node #0,0: 63:[54, 52, 37] Operation: 90-53=37
Exploring Operation: 53-52=1, Resulting Numbers: [54, 90, 1]
Generated Node #0,1: 63:[54, 90, 1] Operation: 53-52=1
Exploring Operation: 90-54=36, Resulting Numbers: [52, 53, 36]
Generated Node #0,2: 63:[52, 53, 36] Operation: 90-54=36
Exploring Operation: 90-52=38, Resulting Numbers: [54, 53, 38]
Generated Node #0,3: 63:[54, 53, 38] Operation: 90-52=38
Exploring Operation: 54-52=2, Resulting Numbers: [53, 90, 2]
Generated Node #0,4: 63:[53, 90, 2] Operation: 54-52=2
Moving to Node #0,0
Current State: 63:[54, 52, 37], Operations: ['90-53=37']
Exploring Operation: 54-52=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 63:[37, 2] Operation: 54-52=2
Exploring Operation: 52-37=15, Resulting Numbers: [54, 15]
Generated Node #0,0,1: 63:[54, 15] Operation: 52-37=15
Exploring Operation: 52+37=89, Resulting Numbers: [54, 89]
Generated Node #0,0,2: 63:[54, 89] Operation: 52+37=89
Exploring Operation: 54+37=91, Resulting Numbers: [52, 91]
Generated Node #0,0,3: 63:[52, 91] Operation: 54+37=91
Exploring Operation: 54-37=17, Resulting Numbers: [52, 17]
Generated Node #0,0,4: 63:[52, 17] Operation: 54-37=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[54, 15], Operations: ['90-53=37', '52-37=15']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,63 unequal: No Solution
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 63:[52, 17], Operations: ['90-53=37', '54-37=17']
Exploring Operation: 52*17=884, Resulting Numbers: [884]
884,63 unequal: No Solution
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,63 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[37, 2], Operations: ['90-53=37', '54-52=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 63:[54, 89], Operations: ['90-53=37', '52+37=89']
Exploring Operation: 54*89=4806, Resulting Numbers: [4806]
4806,63 unequal: No Solution
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 54+89=143, Resulting Numbers: [143]
143,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 63:[52, 91], Operations: ['90-53=37', '54+37=91']
Exploring Operation: 52+91=143, Resulting Numbers: [143]
143,63 unequal: No Solution
Exploring Operation: 91-52=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 52*91=4732, Resulting Numbers: [4732]
4732,63 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: 63:[54, 53, 38], Operations: ['90-52=38']
Exploring Operation: 53+38=91, Resulting Numbers: [54, 91]
Generated Node #0,3,0: 63:[54, 91] Operation: 53+38=91
Exploring Operation: 54-38=16, Resulting Numbers: [53, 16]
Generated Node #0,3,1: 63:[53, 16] Operation: 54-38=16
Exploring Operation: 53-38=15, Resulting Numbers: [54, 15]
Generated Node #0,3,2: 63:[54, 15] Operation: 53-38=15
Exploring Operation: 54-53=1, Resulting Numbers: [38, 1]
Generated Node #0,3,3: 63:[38, 1] Operation: 54-53=1
Exploring Operation: 54+38=92, Resulting Numbers: [53, 92]
Generated Node #0,3,4: 63:[53, 92] Operation: 54+38=92
Moving to Node #0,2
Current State: 63:[52, 53, 36], Operations: ['90-54=36']
Exploring Operation: 53-36=17, Resulting Numbers: [52, 17]
Generated Node #0,2,0: 63:[52, 17] Operation: 53-36=17
Exploring Operation: 52+36=88, Resulting Numbers: [53, 88]
Generated Node #0,2,1: 63:[53, 88] Operation: 52+36=88
Exploring Operation: 52-36=16, Resulting Numbers: [53, 16]
Generated Node #0,2,2: 63:[53, 16] Operation: 52-36=16
Exploring Operation: 53-52=1, Resulting Numbers: [36, 1]
Generated Node #0,2,3: 63:[36, 1] Operation: 53-52=1
Exploring Operation: 53+36=89, Resulting Numbers: [52, 89]
Generated Node #0,2,4: 63:[52, 89] Operation: 53+36=89
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 63:[52, 17], Operations: ['90-54=36', '53-36=17']
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,63 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 52*17=884, Resulting Numbers: [884]
884,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[53, 16], Operations: ['90-54=36', '52-36=16']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,63 unequal: No Solution
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 63:[36, 1], Operations: ['90-54=36', '53-52=1']
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 63:[53, 88], Operations: ['90-54=36', '52+36=88']
Exploring Operation: 53*88=4664, Resulting Numbers: [4664]
4664,63 unequal: No Solution
Exploring Operation: 53+88=141, Resulting Numbers: [141]
141,63 unequal: No Solution
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 63:[52, 89], Operations: ['90-54=36', '53+36=89']
Exploring Operation: 89-52=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 52*89=4628, Resulting Numbers: [4628]
4628,63 unequal: No Solution
Exploring Operation: 52+89=141, Resulting Numbers: [141]
141,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 63:[54, 90, 1], Operations: ['53-52=1']
Exploring Operation: 54/1=54, Resulting Numbers: [90, 54]
Generated Node #0,1,0: 63:[90, 54] Operation: 54/1=54
Exploring Operation: 90-54=36, Resulting Numbers: [1, 36]
Generated Node #0,1,1: 63:[1, 36] Operation: 90-54=36
Exploring Operation: 54*1=54, Resulting Numbers: [90, 54]
Generated Node #0,1,2: 63:[90, 54] Operation: 54*1=54
Exploring Operation: 54+1=55, Resulting Numbers: [90, 55]
Generated Node #0,1,3: 63:[90, 55] Operation: 54+1=55
Exploring Operation: 90-1=89, Resulting Numbers: [54, 89]
Generated Node #0,1,4: 63:[54, 89] Operation: 90-1=89
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[1, 36], Operations: ['53-52=1', '90-54=36']
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 63:[90, 55], Operations: ['53-52=1', '54+1=55']
Exploring Operation: 90*55=4950, Resulting Numbers: [4950]
4950,63 unequal: No Solution
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 90+55=145, Resulting Numbers: [145]
145,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 63:[54, 89], Operations: ['53-52=1', '90-1=89']
Exploring Operation: 54*89=4806, Resulting Numbers: [4806]
4806,63 unequal: No Solution
Exploring Operation: 54+89=143, Resulting Numbers: [143]
143,63 unequal: No Solution
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[90, 54], Operations: ['53-52=1', '54/1=54']
Exploring Operation: 90-54=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 90*54=4860, Resulting Numbers: [4860]
4860,63 unequal: No Solution
Exploring Operation: 90+54=144, Resulting Numbers: [144]
144,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 63:[90, 54], Operations: ['53-52=1', '54*1=54']
Exploring Operation: 90+54=144, Resulting Numbers: [144]
144,63 unequal: No Solution
Exploring Operation: 90*54=4860, Resulting Numbers: [4860]
4860,63 unequal: No Solution
Exploring Operation: 90-54=36, Resulting Numbers: [36]
36,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 63:[53, 90, 2], Operations: ['54-52=2']
Exploring Operation: 53-2=51, Resulting Numbers: [90, 51]
Generated Node #0,4,0: 63:[90, 51] Operation: 53-2=51
Exploring Operation: 90/2=45, Resulting Numbers: [53, 45]
Generated Node #0,4,1: 63:[53, 45] Operation: 90/2=45
Exploring Operation: 53+2=55, Resulting Numbers: [90, 55]
Generated Node #0,4,2: 63:[90, 55] Operation: 53+2=55
Exploring Operation: 90-2=88, Resulting Numbers: [53, 88]
Generated Node #0,4,3: 63:[53, 88] Operation: 90-2=88
Exploring Operation: 90-53=37, Resulting Numbers: [2, 37]
Generated Node #0,4,4: 63:[2, 37] Operation: 90-53=37
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 63:[2, 37], Operations: ['54-52=2', '90-53=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,63 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 63:[53, 45], Operations: ['54-52=2', '90/2=45']
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,63 unequal: No Solution
Exploring Operation: 53*45=2385, Resulting Numbers: [2385]
2385,63 unequal: No Solution
Exploring Operation: 53-45=8, Resulting Numbers: [8]
8,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 63:[90, 55], Operations: ['54-52=2', '53+2=55']
Exploring Operation: 90*55=4950, Resulting Numbers: [4950]
4950,63 unequal: No Solution
Exploring Operation: 90+55=145, Resulting Numbers: [145]
145,63 unequal: No Solution
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 63:[53, 88], Operations: ['54-52=2', '90-2=88']
Exploring Operation: 53+88=141, Resulting Numbers: [141]
141,63 unequal: No Solution
Exploring Operation: 53*88=4664, Resulting Numbers: [4664]
4664,63 unequal: No Solution
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 63:[90, 51], Operations: ['54-52=2', '53-2=51']
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 90+51=141, Resulting Numbers: [141]
141,63 unequal: No Solution
Exploring Operation: 90*51=4590, Resulting Numbers: [4590]
4590,63 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: 63:[53, 16], Operations: ['90-52=38', '54-38=16']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,63 unequal: No Solution
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[54, 15], Operations: ['90-52=38', '53-38=15']
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,63 unequal: No Solution
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,63 unequal: No Solution
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[38, 1], Operations: ['90-52=38', '54-53=1']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Moving to Node #0,3,0
Current State: 63:[54, 91], Operations: ['90-52=38', '53+38=91']
Exploring Operation: 54+91=145, Resulting Numbers: [145]
145,63 unequal: No Solution
Exploring Operation: 54*91=4914, Resulting Numbers: [4914]
4914,63 unequal: No Solution
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,63 unequal: No Solution
Moving to Node #0,3,4
Current State: 63:[53, 92], Operations: ['90-52=38', '54+38=92']
Exploring Operation: 92-53=39, Resulting Numbers: [39]
39,63 unequal: No Solution
Exploring Operation: 53+92=145, Resulting Numbers: [145]
145,63 unequal: No Solution
Exploring Operation: 53*92=4876, Resulting Numbers: [4876]
4876,63 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
78,
60,
52,
96
] | 84 |
[
"78*96=7488",
"7488/52=144",
"144-60=84"
] |
Current State: 84:[78, 60, 52, 96], Operations: []
Exploring Operation: 78*96=7488, Resulting Numbers: [60, 52, 7488]
Generated Node #2: [60, 52, 7488] from Operation: 78*96=7488
Current State: 84:[60, 52, 7488], Operations: ['78*96=7488']
Exploring Operation: 7488/52=144, Resulting Numbers: [60, 144]
Generated Node #3: [60, 144] from Operation: 7488/52=144
Current State: 84:[60, 144], Operations: ['78*96=7488', '7488/52=144']
Exploring Operation: 144-60=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[78, 60, 52, 96], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [78, 52, 36]
Generated Node #0,0: 84:[78, 52, 36] Operation: 96-60=36
Exploring Operation: 60-52=8, Resulting Numbers: [78, 96, 8]
Generated Node #0,1: 84:[78, 96, 8] Operation: 60-52=8
Exploring Operation: 78-60=18, Resulting Numbers: [52, 96, 18]
Generated Node #0,2: 84:[52, 96, 18] Operation: 78-60=18
Exploring Operation: 96-52=44, Resulting Numbers: [78, 60, 44]
Generated Node #0,3: 84:[78, 60, 44] Operation: 96-52=44
Moving to Node #0,1
Current State: 84:[78, 96, 8], Operations: ['60-52=8']
Exploring Operation: 96-8=88, Resulting Numbers: [78, 88]
Generated Node #0,1,0: 84:[78, 88] Operation: 96-8=88
Exploring Operation: 96-78=18, Resulting Numbers: [8, 18]
Generated Node #0,1,1: 84:[8, 18] Operation: 96-78=18
Exploring Operation: 96/8=12, Resulting Numbers: [78, 12]
Generated Node #0,1,2: 84:[78, 12] Operation: 96/8=12
Exploring Operation: 78+8=86, Resulting Numbers: [96, 86]
Generated Node #0,1,3: 84:[96, 86] Operation: 78+8=86
Moving to Node #0,0
Current State: 84:[78, 52, 36], Operations: ['96-60=36']
Exploring Operation: 78-36=42, Resulting Numbers: [52, 42]
Generated Node #0,0,0: 84:[52, 42] Operation: 78-36=42
Exploring Operation: 52+36=88, Resulting Numbers: [78, 88]
Generated Node #0,0,1: 84:[78, 88] Operation: 52+36=88
Exploring Operation: 52-36=16, Resulting Numbers: [78, 16]
Generated Node #0,0,2: 84:[78, 16] Operation: 52-36=16
Exploring Operation: 78-52=26, Resulting Numbers: [36, 26]
Generated Node #0,0,3: 84:[36, 26] Operation: 78-52=26
Moving to Node #0,2
Current State: 84:[52, 96, 18], Operations: ['78-60=18']
Exploring Operation: 96-52=44, Resulting Numbers: [18, 44]
Generated Node #0,2,0: 84:[18, 44] Operation: 96-52=44
Exploring Operation: 96-18=78, Resulting Numbers: [52, 78]
Generated Node #0,2,1: 84:[52, 78] Operation: 96-18=78
Exploring Operation: 52-18=34, Resulting Numbers: [96, 34]
Generated Node #0,2,2: 84:[96, 34] Operation: 52-18=34
Exploring Operation: 52+18=70, Resulting Numbers: [96, 70]
Generated Node #0,2,3: 84:[96, 70] Operation: 52+18=70
Moving to Node #0,3
Current State: 84:[78, 60, 44], Operations: ['96-52=44']
Exploring Operation: 78-60=18, Resulting Numbers: [44, 18]
Generated Node #0,3,0: 84:[44, 18] Operation: 78-60=18
Exploring Operation: 60+44=104, Resulting Numbers: [78, 104]
Generated Node #0,3,1: 84:[78, 104] Operation: 60+44=104
Exploring Operation: 60-44=16, Resulting Numbers: [78, 16]
Generated Node #0,3,2: 84:[78, 16] Operation: 60-44=16
Exploring Operation: 78-44=34, Resulting Numbers: [60, 34]
Generated Node #0,3,3: 84:[60, 34] Operation: 78-44=34
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 84:[44, 18], Operations: ['96-52=44', '78-60=18']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Exploring Operation: 44*18=792, Resulting Numbers: [792]
792,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 84:[78, 16], Operations: ['96-52=44', '60-44=16']
Exploring Operation: 78*16=1248, Resulting Numbers: [1248]
1248,84 unequal: No Solution
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,84 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 84:[60, 34], Operations: ['96-52=44', '78-44=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,84 unequal: No Solution
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 84:[78, 104], Operations: ['96-52=44', '60+44=104']
Exploring Operation: 78+104=182, Resulting Numbers: [182]
182,84 unequal: No Solution
Exploring Operation: 78*104=8112, Resulting Numbers: [8112]
8112,84 unequal: No Solution
Exploring Operation: 104-78=26, Resulting Numbers: [26]
26,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 84:[8, 18], Operations: ['60-52=8', '96-78=18']
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,84 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[18, 44], Operations: ['78-60=18', '96-52=44']
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[78, 12], Operations: ['60-52=8', '96/8=12']
Exploring Operation: 78*12=936, Resulting Numbers: [936]
936,84 unequal: No Solution
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,84 unequal: No Solution
Exploring Operation: 78+12=90, Resulting Numbers: [90]
90,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[36, 26], Operations: ['96-60=36', '78-52=26']
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Exploring Operation: 36*26=936, Resulting Numbers: [936]
936,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[78, 16], Operations: ['96-60=36', '52-36=16']
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,84 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Exploring Operation: 78*16=1248, Resulting Numbers: [1248]
1248,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[52, 42], Operations: ['96-60=36', '78-36=42']
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,84 unequal: No Solution
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,84 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[78, 88], Operations: ['60-52=8', '96-8=88']
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,84 unequal: No Solution
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[78, 88], Operations: ['96-60=36', '52+36=88']
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,84 unequal: No Solution
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,84 unequal: No Solution
Moving to Node #0,1,3
Current State: 84:[96, 86], Operations: ['60-52=8', '78+8=86']
Exploring Operation: 96*86=8256, Resulting Numbers: [8256]
8256,84 unequal: No Solution
Exploring Operation: 96-86=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 96+86=182, Resulting Numbers: [182]
182,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[52, 78], Operations: ['78-60=18', '96-18=78']
Exploring Operation: 52+78=130, Resulting Numbers: [130]
130,84 unequal: No Solution
Exploring Operation: 78-52=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 52*78=4056, Resulting Numbers: [4056]
4056,84 unequal: No Solution
Moving to Node #0,2,2
Current State: 84:[96, 34], Operations: ['78-60=18', '52-18=34']
Exploring Operation: 96+34=130, Resulting Numbers: [130]
130,84 unequal: No Solution
Exploring Operation: 96*34=3264, Resulting Numbers: [3264]
3264,84 unequal: No Solution
Exploring Operation: 96-34=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Moving to Node #0,2,3
Current State: 84:[96, 70], Operations: ['78-60=18', '52+18=70']
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 96+70=166, Resulting Numbers: [166]
166,84 unequal: No Solution
Exploring Operation: 96*70=6720, Resulting Numbers: [6720]
6720,84 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
70,
15,
67,
70
] | 82 |
[
"70+15=85",
"70-67=3",
"85-3=82"
] |
Current State: 82:[70, 15, 67, 70], Operations: []
Exploring Operation: 70+15=85, Resulting Numbers: [67, 85]
Generated Node #2: [67, 85] from Operation: 70+15=85
Current State: 82:[67, 85], Operations: ['70+15=85']
Exploring Operation: 70-67=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 70-67=3
Current State: 82:[85, 3], Operations: ['70+15=85', '70-67=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[70, 15, 67, 70], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [15, 70, 3]
Generated Node #0,0: 82:[15, 70, 3] Operation: 70-67=3
Exploring Operation: 15+67=82, Resulting Numbers: [70, 70, 82]
Generated Node #0,1: 82:[70, 70, 82] Operation: 15+67=82
Exploring Operation: 70-67=3, Resulting Numbers: [70, 15, 3]
Generated Node #0,2: 82:[70, 15, 3] Operation: 70-67=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[70, 70, 82], Operations: ['15+67=82']
Exploring Operation: 70-70=0, Resulting Numbers: [82, 0]
Generated Node #0,1,0: 82:[82, 0] Operation: 70-70=0
Exploring Operation: 70/70=1, Resulting Numbers: [82, 1]
Generated Node #0,1,1: 82:[82, 1] Operation: 70/70=1
Exploring Operation: 82-70=12, Resulting Numbers: [70, 12]
Generated Node #0,1,2: 82:[70, 12] Operation: 82-70=12
Moving to Node #0,1,1
Current State: 82:[82, 1], Operations: ['15+67=82', '70/70=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[70, 15, 67, 70], Operations: []
Exploring Operation: 15+67=82, Resulting Numbers: [70, 70, 82]
Generated Node #0,1: 82:[70, 70, 82] Operation: 15+67=82
Moving to Node #0,1
Current State: 82:[70, 70, 82], Operations: ['15+67=82']
Exploring Operation: 70/70=1, Resulting Numbers: [82, 1]
Generated Node #0,1,1: 82:[82, 1] Operation: 70/70=1
Moving to Node #0,1,1
Current State: 82:[82, 1], Operations: ['15+67=82', '70/70=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_3
|
sum_heuristic
|
[
72,
44,
12,
84
] | 35 |
[
"72-44=28",
"84/12=7",
"28+7=35"
] |
Current State: 35:[72, 44, 12, 84], Operations: []
Exploring Operation: 72-44=28, Resulting Numbers: [12, 84, 28]
Generated Node #2: [12, 84, 28] from Operation: 72-44=28
Current State: 35:[12, 84, 28], Operations: ['72-44=28']
Exploring Operation: 84/12=7, Resulting Numbers: [28, 7]
Generated Node #3: [28, 7] from Operation: 84/12=7
Current State: 35:[28, 7], Operations: ['72-44=28', '84/12=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[72, 44, 12, 84], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [44, 12, 12]
Generated Node #0,0: 35:[44, 12, 12] Operation: 84-72=12
Exploring Operation: 84/12=7, Resulting Numbers: [72, 44, 7]
Generated Node #0,1: 35:[72, 44, 7] Operation: 84/12=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[44, 12, 12], Operations: ['84-72=12']
Exploring Operation: 44-12=32, Resulting Numbers: [12, 32]
Generated Node #0,0,0: 35:[12, 32] Operation: 44-12=32
Exploring Operation: 44-12=32, Resulting Numbers: [12, 32]
Generated Node #0,0,1: 35:[12, 32] Operation: 44-12=32
Moving to Node #0,0,0
Current State: 35:[12, 32], Operations: ['84-72=12', '44-12=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[12, 32], Operations: ['84-72=12', '44-12=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,35 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 #0,1
Current State: 35:[72, 44, 7], Operations: ['84/12=7']
Exploring Operation: 72-44=28, Resulting Numbers: [7, 28]
Generated Node #0,1,0: 35:[7, 28] Operation: 72-44=28
Exploring Operation: 72-7=65, Resulting Numbers: [44, 65]
Generated Node #0,1,1: 35:[44, 65] Operation: 72-7=65
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[7, 28], Operations: ['84/12=7', '72-44=28']
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[72, 44, 12, 84], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [72, 44, 7]
Generated Node #0,1: 35:[72, 44, 7] Operation: 84/12=7
Moving to Node #0,1
Current State: 35:[72, 44, 7], Operations: ['84/12=7']
Exploring Operation: 72-44=28, Resulting Numbers: [7, 28]
Generated Node #0,1,0: 35:[7, 28] Operation: 72-44=28
Moving to Node #0,1,0
Current State: 35:[7, 28], Operations: ['84/12=7', '72-44=28']
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_2
|
sum_heuristic
|
[
88,
11,
24,
65
] | 93 |
[
"24-11=13",
"65/13=5",
"88+5=93"
] |
Current State: 93:[88, 11, 24, 65], Operations: []
Exploring Operation: 24-11=13, Resulting Numbers: [88, 65, 13]
Generated Node #2: [88, 65, 13] from Operation: 24-11=13
Current State: 93:[88, 65, 13], Operations: ['24-11=13']
Exploring Operation: 65/13=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 65/13=5
Current State: 93:[88, 5], Operations: ['24-11=13', '65/13=5']
Exploring Operation: 88+5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[88, 11, 24, 65], Operations: []
Exploring Operation: 24+65=89, Resulting Numbers: [88, 11, 89]
Generated Node #0,0: 93:[88, 11, 89] Operation: 24+65=89
Exploring Operation: 88-65=23, Resulting Numbers: [11, 24, 23]
Generated Node #0,1: 93:[11, 24, 23] Operation: 88-65=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[88, 11, 89], Operations: ['24+65=89']
Exploring Operation: 88+11=99, Resulting Numbers: [89, 99]
Generated Node #0,0,0: 93:[89, 99] Operation: 88+11=99
Exploring Operation: 88/11=8, Resulting Numbers: [89, 8]
Generated Node #0,0,1: 93:[89, 8] Operation: 88/11=8
Moving to Node #0,0,1
Current State: 93:[89, 8], Operations: ['24+65=89', '88/11=8']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[89, 99], Operations: ['24+65=89', '88+11=99']
Exploring Operation: 99-89=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 89+99=188, Resulting Numbers: [188]
188,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[11, 24, 23], Operations: ['88-65=23']
Exploring Operation: 11+23=34, Resulting Numbers: [24, 34]
Generated Node #0,1,0: 93:[24, 34] Operation: 11+23=34
Exploring Operation: 24-23=1, Resulting Numbers: [11, 1]
Generated Node #0,1,1: 93:[11, 1] Operation: 24-23=1
Moving to Node #0,1,0
Current State: 93:[24, 34], Operations: ['88-65=23', '11+23=34']
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[11, 1], Operations: ['88-65=23', '24-23=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
96,
42,
85,
83
] | 75 |
[
"85-83=2",
"42/2=21",
"96-21=75"
] |
Current State: 75:[96, 42, 85, 83], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [96, 42, 2]
Generated Node #2: [96, 42, 2] from Operation: 85-83=2
Current State: 75:[96, 42, 2], Operations: ['85-83=2']
Exploring Operation: 42/2=21, Resulting Numbers: [96, 21]
Generated Node #3: [96, 21] from Operation: 42/2=21
Current State: 75:[96, 21], Operations: ['85-83=2', '42/2=21']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[96, 42, 85, 83], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [42, 83, 11]
Generated Node #0,0: 75:[42, 83, 11] Operation: 96-85=11
Exploring Operation: 96-42=54, Resulting Numbers: [85, 83, 54]
Generated Node #0,1: 75:[85, 83, 54] Operation: 96-42=54
Exploring Operation: 96-83=13, Resulting Numbers: [42, 85, 13]
Generated Node #0,2: 75:[42, 85, 13] Operation: 96-83=13
Moving to Node #0,0
Current State: 75:[42, 83, 11], Operations: ['96-85=11']
Exploring Operation: 83-11=72, Resulting Numbers: [42, 72]
Generated Node #0,0,0: 75:[42, 72] Operation: 83-11=72
Exploring Operation: 42-11=31, Resulting Numbers: [83, 31]
Generated Node #0,0,1: 75:[83, 31] Operation: 42-11=31
Exploring Operation: 83-42=41, Resulting Numbers: [11, 41]
Generated Node #0,0,2: 75:[11, 41] Operation: 83-42=41
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[83, 31], Operations: ['96-85=11', '42-11=31']
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,75 unequal: No Solution
Exploring Operation: 83+31=114, Resulting Numbers: [114]
114,75 unequal: No Solution
Exploring Operation: 83*31=2573, Resulting Numbers: [2573]
2573,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[42, 72], Operations: ['96-85=11', '83-11=72']
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,75 unequal: No Solution
Exploring Operation: 42+72=114, Resulting Numbers: [114]
114,75 unequal: No Solution
Exploring Operation: 42*72=3024, Resulting Numbers: [3024]
3024,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 75:[11, 41], Operations: ['96-85=11', '83-42=41']
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,75 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,75 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 75:[42, 85, 13], Operations: ['96-83=13']
Exploring Operation: 85-13=72, Resulting Numbers: [42, 72]
Generated Node #0,2,0: 75:[42, 72] Operation: 85-13=72
Exploring Operation: 42-13=29, Resulting Numbers: [85, 29]
Generated Node #0,2,1: 75:[85, 29] Operation: 42-13=29
Exploring Operation: 85-42=43, Resulting Numbers: [13, 43]
Generated Node #0,2,2: 75:[13, 43] Operation: 85-42=43
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 75:[85, 29], Operations: ['96-83=13', '42-13=29']
Exploring Operation: 85*29=2465, Resulting Numbers: [2465]
2465,75 unequal: No Solution
Exploring Operation: 85+29=114, Resulting Numbers: [114]
114,75 unequal: No Solution
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 75:[42, 72], Operations: ['96-83=13', '85-13=72']
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,75 unequal: No Solution
Exploring Operation: 42+72=114, Resulting Numbers: [114]
114,75 unequal: No Solution
Exploring Operation: 42*72=3024, Resulting Numbers: [3024]
3024,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 75:[13, 43], Operations: ['96-83=13', '85-42=43']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,75 unequal: No Solution
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,75 unequal: No Solution
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,75 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: 75:[85, 83, 54], Operations: ['96-42=54']
Exploring Operation: 83-54=29, Resulting Numbers: [85, 29]
Generated Node #0,1,0: 75:[85, 29] Operation: 83-54=29
Exploring Operation: 85-54=31, Resulting Numbers: [83, 31]
Generated Node #0,1,1: 75:[83, 31] Operation: 85-54=31
Exploring Operation: 85-83=2, Resulting Numbers: [54, 2]
Generated Node #0,1,2: 75:[54, 2] Operation: 85-83=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[85, 29], Operations: ['96-42=54', '83-54=29']
Exploring Operation: 85*29=2465, Resulting Numbers: [2465]
2465,75 unequal: No Solution
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,75 unequal: No Solution
Exploring Operation: 85+29=114, Resulting Numbers: [114]
114,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[83, 31], Operations: ['96-42=54', '85-54=31']
Exploring Operation: 83+31=114, Resulting Numbers: [114]
114,75 unequal: No Solution
Exploring Operation: 83*31=2573, Resulting Numbers: [2573]
2573,75 unequal: No Solution
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,75 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 #0,1,2
Current State: 75:[54, 2], Operations: ['96-42=54', '85-83=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,75 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
77,
63,
42,
22
] | 19 |
[
"77-63=14",
"42/14=3",
"22-3=19"
] |
Current State: 19:[77, 63, 42, 22], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [42, 22, 14]
Generated Node #2: [42, 22, 14] from Operation: 77-63=14
Current State: 19:[42, 22, 14], Operations: ['77-63=14']
Exploring Operation: 42/14=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 42/14=3
Current State: 19:[22, 3], Operations: ['77-63=14', '42/14=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[77, 63, 42, 22], Operations: []
Exploring Operation: 77-42=35, Resulting Numbers: [63, 22, 35]
Generated Node #0,0: 19:[63, 22, 35] Operation: 77-42=35
Exploring Operation: 77-63=14, Resulting Numbers: [42, 22, 14]
Generated Node #0,1: 19:[42, 22, 14] Operation: 77-63=14
Exploring Operation: 63-42=21, Resulting Numbers: [77, 22, 21]
Generated Node #0,2: 19:[77, 22, 21] Operation: 63-42=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[42, 22, 14], Operations: ['77-63=14']
Exploring Operation: 42-22=20, Resulting Numbers: [14, 20]
Generated Node #0,1,0: 19:[14, 20] Operation: 42-22=20
Exploring Operation: 42/14=3, Resulting Numbers: [22, 3]
Generated Node #0,1,1: 19:[22, 3] Operation: 42/14=3
Exploring Operation: 42-14=28, Resulting Numbers: [22, 28]
Generated Node #0,1,2: 19:[22, 28] Operation: 42-14=28
Moving to Node #0,1,0
Current State: 19:[14, 20], Operations: ['77-63=14', '42-22=20']
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 14*20=280, Resulting Numbers: [280]
280,19 unequal: No Solution
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[22, 28], Operations: ['77-63=14', '42-14=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,19 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[22, 3], Operations: ['77-63=14', '42/14=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[77, 63, 42, 22], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [42, 22, 14]
Generated Node #0,1: 19:[42, 22, 14] Operation: 77-63=14
Moving to Node #0,1
Current State: 19:[42, 22, 14], Operations: ['77-63=14']
Exploring Operation: 42/14=3, Resulting Numbers: [22, 3]
Generated Node #0,1,1: 19:[22, 3] Operation: 42/14=3
Moving to Node #0,1,1
Current State: 19:[22, 3], Operations: ['77-63=14', '42/14=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 |
hs_3
|
mult_heuristic
|
[
28,
88,
28,
47
] | 40 |
[
"28/28=1",
"88-47=41",
"41-1=40"
] |
Current State: 40:[28, 88, 28, 47], Operations: []
Exploring Operation: 28/28=1, Resulting Numbers: [88, 47, 1]
Generated Node #2: [88, 47, 1] from Operation: 28/28=1
Current State: 40:[88, 47, 1], Operations: ['28/28=1']
Exploring Operation: 88-47=41, Resulting Numbers: [1, 41]
Generated Node #3: [1, 41] from Operation: 88-47=41
Current State: 40:[1, 41], Operations: ['28/28=1', '88-47=41']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
Current State: 40:[28, 88, 28, 47], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [28, 47, 60]
Generated Node #0,0: 40:[28, 47, 60] Operation: 88-28=60
Exploring Operation: 28-28=0, Resulting Numbers: [88, 47, 0]
Generated Node #0,1: 40:[88, 47, 0] Operation: 28-28=0
Exploring Operation: 28/28=1, Resulting Numbers: [88, 47, 1]
Generated Node #0,2: 40:[88, 47, 1] Operation: 28/28=1
Exploring Operation: 88-28=60, Resulting Numbers: [28, 47, 60]
Generated Node #0,3: 40:[28, 47, 60] Operation: 88-28=60
Exploring Operation: 88-47=41, Resulting Numbers: [28, 28, 41]
Generated Node #0,4: 40:[28, 28, 41] Operation: 88-47=41
Start Sub Search at level 1: Moving to Node #0,4
Current State: 40:[28, 28, 41], Operations: ['88-47=41']
Exploring Operation: 41-28=13, Resulting Numbers: [28, 13]
Generated Node #0,4,0: 40:[28, 13] Operation: 41-28=13
Exploring Operation: 28+28=56, Resulting Numbers: [41, 56]
Generated Node #0,4,1: 40:[41, 56] Operation: 28+28=56
Exploring Operation: 41-28=13, Resulting Numbers: [28, 13]
Generated Node #0,4,2: 40:[28, 13] Operation: 41-28=13
Exploring Operation: 28-28=0, Resulting Numbers: [41, 0]
Generated Node #0,4,3: 40:[41, 0] Operation: 28-28=0
Exploring Operation: 28/28=1, Resulting Numbers: [41, 1]
Generated Node #0,4,4: 40:[41, 1] Operation: 28/28=1
Moving to Node #0,4,4
Current State: 40:[41, 1], Operations: ['88-47=41', '28/28=1']
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[28, 88, 28, 47], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [28, 28, 41]
Generated Node #0,4: 40:[28, 28, 41] Operation: 88-47=41
Moving to Node #0,4
Current State: 40:[28, 28, 41], Operations: ['88-47=41']
Exploring Operation: 28/28=1, Resulting Numbers: [41, 1]
Generated Node #0,4,4: 40:[41, 1] Operation: 28/28=1
Moving to Node #0,4,4
Current State: 40:[41, 1], Operations: ['88-47=41', '28/28=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
mult_heuristic
|
[
7,
16,
84,
69
] | 89 |
[
"84-69=15",
"7*15=105",
"105-16=89"
] |
Current State: 89:[7, 16, 84, 69], Operations: []
Exploring Operation: 84-69=15, Resulting Numbers: [7, 16, 15]
Generated Node #2: [7, 16, 15] from Operation: 84-69=15
Current State: 89:[7, 16, 15], Operations: ['84-69=15']
Exploring Operation: 7*15=105, Resulting Numbers: [16, 105]
Generated Node #3: [16, 105] from Operation: 7*15=105
Current State: 89:[16, 105], Operations: ['84-69=15', '7*15=105']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
Current State: 89:[7, 16, 84, 69], Operations: []
Exploring Operation: 7*16=112, Resulting Numbers: [84, 69, 112]
Generated Node #0,0: 89:[84, 69, 112] Operation: 7*16=112
Exploring Operation: 7+16=23, Resulting Numbers: [84, 69, 23]
Generated Node #0,1: 89:[84, 69, 23] Operation: 7+16=23
Moving to Node #0,0
Current State: 89:[84, 69, 112], Operations: ['7*16=112']
Exploring Operation: 112-69=43, Resulting Numbers: [84, 43]
Generated Node #0,0,0: 89:[84, 43] Operation: 112-69=43
Exploring Operation: 112-84=28, Resulting Numbers: [69, 28]
Generated Node #0,0,1: 89:[69, 28] Operation: 112-84=28
Moving to Node #0,1
Current State: 89:[84, 69, 23], Operations: ['7+16=23']
Exploring Operation: 69+23=92, Resulting Numbers: [84, 92]
Generated Node #0,1,0: 89:[84, 92] Operation: 69+23=92
Exploring Operation: 84+23=107, Resulting Numbers: [69, 107]
Generated Node #0,1,1: 89:[69, 107] Operation: 84+23=107
Moving to Node #0,1,0
Current State: 89:[84, 92], Operations: ['7+16=23', '69+23=92']
Exploring Operation: 92-84=8, Resulting Numbers: [8]
8,89 unequal: No Solution
Exploring Operation: 84+92=176, Resulting Numbers: [176]
176,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[69, 107], Operations: ['7+16=23', '84+23=107']
Exploring Operation: 69+107=176, Resulting Numbers: [176]
176,89 unequal: No Solution
Exploring Operation: 107-69=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[84, 43], Operations: ['7*16=112', '112-69=43']
Exploring Operation: 84+43=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Exploring Operation: 84-43=41, Resulting Numbers: [41]
41,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[69, 28], Operations: ['7*16=112', '112-84=28']
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,89 unequal: No Solution
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,89 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
2,
30,
50,
18
] | 37 |
[
"50/2=25",
"30-18=12",
"25+12=37"
] |
Current State: 37:[2, 30, 50, 18], Operations: []
Exploring Operation: 50/2=25, Resulting Numbers: [30, 18, 25]
Generated Node #2: [30, 18, 25] from Operation: 50/2=25
Current State: 37:[30, 18, 25], Operations: ['50/2=25']
Exploring Operation: 30-18=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 30-18=12
Current State: 37:[25, 12], Operations: ['50/2=25', '30-18=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[2, 30, 50, 18], Operations: []
Exploring Operation: 50-2=48, Resulting Numbers: [30, 18, 48]
Generated Node #0,0: 37:[30, 18, 48] Operation: 50-2=48
Exploring Operation: 2*18=36, Resulting Numbers: [30, 50, 36]
Generated Node #0,1: 37:[30, 50, 36] Operation: 2*18=36
Exploring Operation: 2+30=32, Resulting Numbers: [50, 18, 32]
Generated Node #0,2: 37:[50, 18, 32] Operation: 2+30=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[30, 50, 36], Operations: ['2*18=36']
Exploring Operation: 50-36=14, Resulting Numbers: [30, 14]
Generated Node #0,1,0: 37:[30, 14] Operation: 50-36=14
Exploring Operation: 30+36=66, Resulting Numbers: [50, 66]
Generated Node #0,1,1: 37:[50, 66] Operation: 30+36=66
Exploring Operation: 50-30=20, Resulting Numbers: [36, 20]
Generated Node #0,1,2: 37:[36, 20] Operation: 50-30=20
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 37:[36, 20], Operations: ['2*18=36', '50-30=20']
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,37 unequal: No Solution
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[30, 14], Operations: ['2*18=36', '50-36=14']
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,37 unequal: No Solution
Exploring Operation: 30*14=420, Resulting Numbers: [420]
420,37 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[50, 66], Operations: ['2*18=36', '30+36=66']
Exploring Operation: 50+66=116, Resulting Numbers: [116]
116,37 unequal: No Solution
Exploring Operation: 50*66=3300, Resulting Numbers: [3300]
3300,37 unequal: No Solution
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[30, 18, 48], Operations: ['50-2=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30, 30]
Generated Node #0,0,0: 37:[30, 30] Operation: 48-18=30
Exploring Operation: 30-18=12, Resulting Numbers: [48, 12]
Generated Node #0,0,1: 37:[48, 12] Operation: 30-18=12
Exploring Operation: 30+18=48, Resulting Numbers: [48, 48]
Generated Node #0,0,2: 37:[48, 48] Operation: 30+18=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[30, 30], Operations: ['50-2=48', '48-18=30']
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 37:[48, 48], Operations: ['50-2=48', '30+18=48']
Exploring Operation: 48/48=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 48-48=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[48, 12], Operations: ['50-2=48', '30-18=12']
Exploring Operation: 48+12=60, Resulting Numbers: [60]
60,37 unequal: No Solution
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[50, 18, 32], Operations: ['2+30=32']
Exploring Operation: 50-18=32, Resulting Numbers: [32, 32]
Generated Node #0,2,0: 37:[32, 32] Operation: 50-18=32
Exploring Operation: 18+32=50, Resulting Numbers: [50, 50]
Generated Node #0,2,1: 37:[50, 50] Operation: 18+32=50
Exploring Operation: 50+18=68, Resulting Numbers: [32, 68]
Generated Node #0,2,2: 37:[32, 68] Operation: 50+18=68
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 37:[32, 32], Operations: ['2+30=32', '50-18=32']
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,37 unequal: No Solution
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 37:[50, 50], Operations: ['2+30=32', '18+32=50']
Exploring Operation: 50+50=100, Resulting Numbers: [100]
100,37 unequal: No Solution
Exploring Operation: 50-50=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 50/50=1, Resulting Numbers: [1]
1,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 37:[32, 68], Operations: ['2+30=32', '50+18=68']
Exploring Operation: 68-32=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 32*68=2176, Resulting Numbers: [2176]
2176,37 unequal: No Solution
Exploring Operation: 32+68=100, Resulting Numbers: [100]
100,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
77,
39,
1,
4
] | 75 |
[
"39-1=38",
"4*38=152",
"152-77=75"
] |
Current State: 75:[77, 39, 1, 4], Operations: []
Exploring Operation: 39-1=38, Resulting Numbers: [77, 4, 38]
Generated Node #2: [77, 4, 38] from Operation: 39-1=38
Current State: 75:[77, 4, 38], Operations: ['39-1=38']
Exploring Operation: 4*38=152, Resulting Numbers: [77, 152]
Generated Node #3: [77, 152] from Operation: 4*38=152
Current State: 75:[77, 152], Operations: ['39-1=38', '4*38=152']
Exploring Operation: 152-77=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[77, 39, 1, 4], Operations: []
Exploring Operation: 39-4=35, Resulting Numbers: [77, 1, 35]
Generated Node #0,0: 75:[77, 1, 35] Operation: 39-4=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[77, 1, 35], Operations: ['39-4=35']
Exploring Operation: 77-1=76, Resulting Numbers: [35, 76]
Generated Node #0,0,0: 75:[35, 76] Operation: 77-1=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[35, 76], Operations: ['39-4=35', '77-1=76']
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,75 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_1
|
mult_heuristic
|
[
52,
31,
71,
53
] | 65 |
[
"52+31=83",
"71-53=18",
"83-18=65"
] |
Current State: 65:[52, 31, 71, 53], Operations: []
Exploring Operation: 52+31=83, Resulting Numbers: [71, 53, 83]
Generated Node #2: [71, 53, 83] from Operation: 52+31=83
Current State: 65:[71, 53, 83], Operations: ['52+31=83']
Exploring Operation: 71-53=18, Resulting Numbers: [83, 18]
Generated Node #3: [83, 18] from Operation: 71-53=18
Current State: 65:[83, 18], Operations: ['52+31=83', '71-53=18']
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[52, 31, 71, 53], Operations: []
Exploring Operation: 53-31=22, Resulting Numbers: [52, 71, 22]
Generated Node #0,0: 65:[52, 71, 22] Operation: 53-31=22
Exploring Operation: 52+31=83, Resulting Numbers: [71, 53, 83]
Generated Node #0,1: 65:[71, 53, 83] Operation: 52+31=83
Exploring Operation: 53-52=1, Resulting Numbers: [31, 71, 1]
Generated Node #0,2: 65:[31, 71, 1] Operation: 53-52=1
Exploring Operation: 52-31=21, Resulting Numbers: [71, 53, 21]
Generated Node #0,3: 65:[71, 53, 21] Operation: 52-31=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[71, 53, 21], Operations: ['52-31=21']
Exploring Operation: 71-53=18, Resulting Numbers: [21, 18]
Generated Node #0,3,0: 65:[21, 18] Operation: 71-53=18
Exploring Operation: 53-21=32, Resulting Numbers: [71, 32]
Generated Node #0,3,1: 65:[71, 32] Operation: 53-21=32
Exploring Operation: 71-21=50, Resulting Numbers: [53, 50]
Generated Node #0,3,2: 65:[53, 50] Operation: 71-21=50
Exploring Operation: 53+21=74, Resulting Numbers: [71, 74]
Generated Node #0,3,3: 65:[71, 74] Operation: 53+21=74
Moving to Node #0,3,0
Current State: 65:[21, 18], Operations: ['52-31=21', '71-53=18']
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,65 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[71, 74], Operations: ['52-31=21', '53+21=74']
Exploring Operation: 71+74=145, Resulting Numbers: [145]
145,65 unequal: No Solution
Exploring Operation: 71*74=5254, Resulting Numbers: [5254]
5254,65 unequal: No Solution
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[71, 32], Operations: ['52-31=21', '53-21=32']
Exploring Operation: 71*32=2272, Resulting Numbers: [2272]
2272,65 unequal: No Solution
Exploring Operation: 71+32=103, Resulting Numbers: [103]
103,65 unequal: No Solution
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[53, 50], Operations: ['52-31=21', '71-21=50']
Exploring Operation: 53+50=103, Resulting Numbers: [103]
103,65 unequal: No Solution
Exploring Operation: 53*50=2650, Resulting Numbers: [2650]
2650,65 unequal: No Solution
Exploring Operation: 53-50=3, Resulting Numbers: [3]
3,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[52, 71, 22], Operations: ['53-31=22']
Exploring Operation: 71-22=49, Resulting Numbers: [52, 49]
Generated Node #0,0,0: 65:[52, 49] Operation: 71-22=49
Exploring Operation: 52+22=74, Resulting Numbers: [71, 74]
Generated Node #0,0,1: 65:[71, 74] Operation: 52+22=74
Exploring Operation: 52-22=30, Resulting Numbers: [71, 30]
Generated Node #0,0,2: 65:[71, 30] Operation: 52-22=30
Exploring Operation: 71-52=19, Resulting Numbers: [22, 19]
Generated Node #0,0,3: 65:[22, 19] Operation: 71-52=19
Moving to Node #0,0,1
Current State: 65:[71, 74], Operations: ['53-31=22', '52+22=74']
Exploring Operation: 71*74=5254, Resulting Numbers: [5254]
5254,65 unequal: No Solution
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 71+74=145, Resulting Numbers: [145]
145,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[22, 19], Operations: ['53-31=22', '71-52=19']
Exploring Operation: 22+19=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 22*19=418, Resulting Numbers: [418]
418,65 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[71, 30], Operations: ['53-31=22', '52-22=30']
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 71*30=2130, Resulting Numbers: [2130]
2130,65 unequal: No Solution
Exploring Operation: 71+30=101, Resulting Numbers: [101]
101,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[52, 49], Operations: ['53-31=22', '71-22=49']
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,65 unequal: No Solution
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,65 unequal: No Solution
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[31, 71, 1], Operations: ['53-52=1']
Exploring Operation: 71-1=70, Resulting Numbers: [31, 70]
Generated Node #0,2,0: 65:[31, 70] Operation: 71-1=70
Exploring Operation: 31*1=31, Resulting Numbers: [71, 31]
Generated Node #0,2,1: 65:[71, 31] Operation: 31*1=31
Exploring Operation: 31-1=30, Resulting Numbers: [71, 30]
Generated Node #0,2,2: 65:[71, 30] Operation: 31-1=30
Exploring Operation: 31/1=31, Resulting Numbers: [71, 31]
Generated Node #0,2,3: 65:[71, 31] Operation: 31/1=31
Moving to Node #0,2,0
Current State: 65:[31, 70], Operations: ['53-52=1', '71-1=70']
Exploring Operation: 31*70=2170, Resulting Numbers: [2170]
2170,65 unequal: No Solution
Exploring Operation: 31+70=101, Resulting Numbers: [101]
101,65 unequal: No Solution
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[71, 30], Operations: ['53-52=1', '31-1=30']
Exploring Operation: 71*30=2130, Resulting Numbers: [2130]
2130,65 unequal: No Solution
Exploring Operation: 71+30=101, Resulting Numbers: [101]
101,65 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[71, 31], Operations: ['53-52=1', '31/1=31']
Exploring Operation: 71*31=2201, Resulting Numbers: [2201]
2201,65 unequal: No Solution
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,65 unequal: No Solution
Exploring Operation: 71+31=102, Resulting Numbers: [102]
102,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[71, 31], Operations: ['53-52=1', '31*1=31']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,65 unequal: No Solution
Exploring Operation: 71+31=102, Resulting Numbers: [102]
102,65 unequal: No Solution
Exploring Operation: 71*31=2201, Resulting Numbers: [2201]
2201,65 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
Current State: 65:[71, 53, 83], Operations: ['52+31=83']
Exploring Operation: 83-71=12, Resulting Numbers: [53, 12]
Generated Node #0,1,0: 65:[53, 12] Operation: 83-71=12
Exploring Operation: 71-53=18, Resulting Numbers: [83, 18]
Generated Node #0,1,1: 65:[83, 18] Operation: 71-53=18
Exploring Operation: 71+53=124, Resulting Numbers: [83, 124]
Generated Node #0,1,2: 65:[83, 124] Operation: 71+53=124
Exploring Operation: 83-53=30, Resulting Numbers: [71, 30]
Generated Node #0,1,3: 65:[71, 30] Operation: 83-53=30
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[53, 12], Operations: ['52+31=83', '83-71=12']
Exploring Operation: 53+12=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[52, 31, 71, 53], Operations: []
Exploring Operation: 52+31=83, Resulting Numbers: [71, 53, 83]
Generated Node #0,1: 65:[71, 53, 83] Operation: 52+31=83
Moving to Node #0,1
Current State: 65:[71, 53, 83], Operations: ['52+31=83']
Exploring Operation: 83-71=12, Resulting Numbers: [53, 12]
Generated Node #0,1,0: 65:[53, 12] Operation: 83-71=12
Moving to Node #0,1,0
Current State: 65:[53, 12], Operations: ['52+31=83', '83-71=12']
Exploring Operation: 53+12=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.947049 |
hs_4
|
sum_heuristic
|
[
61,
55,
2,
58
] | 32 |
[
"61-55=6",
"58+6=64",
"64/2=32"
] |
Current State: 32:[61, 55, 2, 58], Operations: []
Exploring Operation: 61-55=6, Resulting Numbers: [2, 58, 6]
Generated Node #2: [2, 58, 6] from Operation: 61-55=6
Current State: 32:[2, 58, 6], Operations: ['61-55=6']
Exploring Operation: 58+6=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 58+6=64
Current State: 32:[2, 64], Operations: ['61-55=6', '58+6=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[61, 55, 2, 58], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [61, 2, 3]
Generated Node #0,0: 32:[61, 2, 3] Operation: 58-55=3
Exploring Operation: 61-55=6, Resulting Numbers: [2, 58, 6]
Generated Node #0,1: 32:[2, 58, 6] Operation: 61-55=6
Exploring Operation: 58/2=29, Resulting Numbers: [61, 55, 29]
Generated Node #0,2: 32:[61, 55, 29] Operation: 58/2=29
Exploring Operation: 61-58=3, Resulting Numbers: [55, 2, 3]
Generated Node #0,3: 32:[55, 2, 3] Operation: 61-58=3
Moving to Node #0,3
Current State: 32:[55, 2, 3], Operations: ['61-58=3']
Exploring Operation: 55-2=53, Resulting Numbers: [3, 53]
Generated Node #0,3,0: 32:[3, 53] Operation: 55-2=53
Exploring Operation: 2+3=5, Resulting Numbers: [55, 5]
Generated Node #0,3,1: 32:[55, 5] Operation: 2+3=5
Exploring Operation: 3-2=1, Resulting Numbers: [55, 1]
Generated Node #0,3,2: 32:[55, 1] Operation: 3-2=1
Exploring Operation: 55-3=52, Resulting Numbers: [2, 52]
Generated Node #0,3,3: 32:[2, 52] Operation: 55-3=52
Moving to Node #0,1
Current State: 32:[2, 58, 6], Operations: ['61-55=6']
Exploring Operation: 58/2=29, Resulting Numbers: [6, 29]
Generated Node #0,1,0: 32:[6, 29] Operation: 58/2=29
Exploring Operation: 2+6=8, Resulting Numbers: [58, 8]
Generated Node #0,1,1: 32:[58, 8] Operation: 2+6=8
Exploring Operation: 58-2=56, Resulting Numbers: [6, 56]
Generated Node #0,1,2: 32:[6, 56] Operation: 58-2=56
Exploring Operation: 58-6=52, Resulting Numbers: [2, 52]
Generated Node #0,1,3: 32:[2, 52] Operation: 58-6=52
Moving to Node #0,0
Current State: 32:[61, 2, 3], Operations: ['58-55=3']
Exploring Operation: 3-2=1, Resulting Numbers: [61, 1]
Generated Node #0,0,0: 32:[61, 1] Operation: 3-2=1
Exploring Operation: 61-2=59, Resulting Numbers: [3, 59]
Generated Node #0,0,1: 32:[3, 59] Operation: 61-2=59
Exploring Operation: 61-3=58, Resulting Numbers: [2, 58]
Generated Node #0,0,2: 32:[2, 58] Operation: 61-3=58
Exploring Operation: 2+3=5, Resulting Numbers: [61, 5]
Generated Node #0,0,3: 32:[61, 5] Operation: 2+3=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[2, 58], Operations: ['58-55=3', '61-3=58']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,32 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 2*58=116, Resulting Numbers: [116]
116,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[3, 59], Operations: ['58-55=3', '61-2=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,32 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[61, 1], Operations: ['58-55=3', '3-2=1']
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,32 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 32:[61, 5], Operations: ['58-55=3', '2+3=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,32 unequal: No Solution
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 32:[61, 55, 29], Operations: ['58/2=29']
Exploring Operation: 61-55=6, Resulting Numbers: [29, 6]
Generated Node #0,2,0: 32:[29, 6] Operation: 61-55=6
Exploring Operation: 61-29=32, Resulting Numbers: [55, 32]
Generated Node #0,2,1: 32:[55, 32] Operation: 61-29=32
Exploring Operation: 61+29=90, Resulting Numbers: [55, 90]
Generated Node #0,2,2: 32:[55, 90] Operation: 61+29=90
Exploring Operation: 55-29=26, Resulting Numbers: [61, 26]
Generated Node #0,2,3: 32:[61, 26] Operation: 55-29=26
Moving to Node #0,1,0
Current State: 32:[6, 29], Operations: ['61-55=6', '58/2=29']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,32 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,32 unequal: No Solution
Moving to Node #0,2,0
Current State: 32:[29, 6], Operations: ['58/2=29', '61-55=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,32 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Exploring Operation: 29*6=174, Resulting Numbers: [174]
174,32 unequal: No Solution
Moving to Node #0,1,3
Current State: 32:[2, 52], Operations: ['61-55=6', '58-6=52']
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,32 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,32 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,32 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Moving to Node #0,3,3
Current State: 32:[2, 52], Operations: ['61-58=3', '55-3=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,32 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,32 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,32 unequal: No Solution
Moving to Node #0,3,0
Current State: 32:[3, 53], Operations: ['61-58=3', '55-2=53']
Exploring Operation: 3*53=159, Resulting Numbers: [159]
159,32 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,32 unequal: No Solution
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[55, 32], Operations: ['58/2=29', '61-29=32']
Exploring Operation: 55+32=87, Resulting Numbers: [87]
87,32 unequal: No Solution
Exploring Operation: 55*32=1760, Resulting Numbers: [1760]
1760,32 unequal: No Solution
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Moving to Node #0,3,1
Current State: 32:[55, 5], Operations: ['61-58=3', '2+3=5']
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,32 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,32 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,32 unequal: No Solution
Moving to Node #0,3,2
Current State: 32:[55, 1], Operations: ['61-58=3', '3-2=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,32 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,32 unequal: No Solution
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[58, 8], Operations: ['61-55=6', '2+6=8']
Exploring Operation: 58*8=464, Resulting Numbers: [464]
464,32 unequal: No Solution
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[6, 56], Operations: ['61-55=6', '58-2=56']
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,32 unequal: No Solution
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,32 unequal: No Solution
Moving to Node #0,2,3
Current State: 32:[61, 26], Operations: ['58/2=29', '55-29=26']
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,32 unequal: No Solution
Exploring Operation: 61+26=87, Resulting Numbers: [87]
87,32 unequal: No Solution
Exploring Operation: 61*26=1586, Resulting Numbers: [1586]
1586,32 unequal: No Solution
Moving to Node #0,2,2
Current State: 32:[55, 90], Operations: ['58/2=29', '61+29=90']
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,32 unequal: No Solution
Exploring Operation: 55+90=145, Resulting Numbers: [145]
145,32 unequal: No Solution
Exploring Operation: 55*90=4950, Resulting Numbers: [4950]
4950,32 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
45,
8,
41,
61
] | 93 |
[
"45-41=4",
"8*4=32",
"61+32=93"
] |
Current State: 93:[45, 8, 41, 61], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [8, 61, 4]
Generated Node #2: [8, 61, 4] from Operation: 45-41=4
Current State: 93:[8, 61, 4], Operations: ['45-41=4']
Exploring Operation: 8*4=32, Resulting Numbers: [61, 32]
Generated Node #3: [61, 32] from Operation: 8*4=32
Current State: 93:[61, 32], Operations: ['45-41=4', '8*4=32']
Exploring Operation: 61+32=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[45, 8, 41, 61], Operations: []
Exploring Operation: 41+61=102, Resulting Numbers: [45, 8, 102]
Generated Node #0,0: 93:[45, 8, 102] Operation: 41+61=102
Exploring Operation: 45+61=106, Resulting Numbers: [8, 41, 106]
Generated Node #0,1: 93:[8, 41, 106] Operation: 45+61=106
Exploring Operation: 61-45=16, Resulting Numbers: [8, 41, 16]
Generated Node #0,2: 93:[8, 41, 16] Operation: 61-45=16
Moving to Node #0,0
Current State: 93:[45, 8, 102], Operations: ['41+61=102']
Exploring Operation: 45-8=37, Resulting Numbers: [102, 37]
Generated Node #0,0,0: 93:[102, 37] Operation: 45-8=37
Exploring Operation: 102-8=94, Resulting Numbers: [45, 94]
Generated Node #0,0,1: 93:[45, 94] Operation: 102-8=94
Exploring Operation: 45+8=53, Resulting Numbers: [102, 53]
Generated Node #0,0,2: 93:[102, 53] Operation: 45+8=53
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[102, 37], Operations: ['41+61=102', '45-8=37']
Exploring Operation: 102*37=3774, Resulting Numbers: [3774]
3774,93 unequal: No Solution
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,93 unequal: No Solution
Exploring Operation: 102+37=139, Resulting Numbers: [139]
139,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 93:[45, 94], Operations: ['41+61=102', '102-8=94']
Exploring Operation: 94-45=49, Resulting Numbers: [49]
49,93 unequal: No Solution
Exploring Operation: 45*94=4230, Resulting Numbers: [4230]
4230,93 unequal: No Solution
Exploring Operation: 45+94=139, Resulting Numbers: [139]
139,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 93:[102, 53], Operations: ['41+61=102', '45+8=53']
Exploring Operation: 102+53=155, Resulting Numbers: [155]
155,93 unequal: No Solution
Exploring Operation: 102*53=5406, Resulting Numbers: [5406]
5406,93 unequal: No Solution
Exploring Operation: 102-53=49, Resulting Numbers: [49]
49,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 93:[8, 41, 106], Operations: ['45+61=106']
Exploring Operation: 8+41=49, Resulting Numbers: [106, 49]
Generated Node #0,1,0: 93:[106, 49] Operation: 8+41=49
Exploring Operation: 41-8=33, Resulting Numbers: [106, 33]
Generated Node #0,1,1: 93:[106, 33] Operation: 41-8=33
Exploring Operation: 106-8=98, Resulting Numbers: [41, 98]
Generated Node #0,1,2: 93:[41, 98] Operation: 106-8=98
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[106, 33], Operations: ['45+61=106', '41-8=33']
Exploring Operation: 106-33=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 106+33=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 106*33=3498, Resulting Numbers: [3498]
3498,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 93:[41, 98], Operations: ['45+61=106', '106-8=98']
Exploring Operation: 98-41=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 41+98=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 41*98=4018, Resulting Numbers: [4018]
4018,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[106, 49], Operations: ['45+61=106', '8+41=49']
Exploring Operation: 106-49=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 106+49=155, Resulting Numbers: [155]
155,93 unequal: No Solution
Exploring Operation: 106*49=5194, Resulting Numbers: [5194]
5194,93 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: 93:[8, 41, 16], Operations: ['61-45=16']
Exploring Operation: 16/8=2, Resulting Numbers: [41, 2]
Generated Node #0,2,0: 93:[41, 2] Operation: 16/8=2
Exploring Operation: 41-8=33, Resulting Numbers: [16, 33]
Generated Node #0,2,1: 93:[16, 33] Operation: 41-8=33
Exploring Operation: 41-16=25, Resulting Numbers: [8, 25]
Generated Node #0,2,2: 93:[8, 25] Operation: 41-16=25
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[41, 2], Operations: ['61-45=16', '16/8=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[8, 25], Operations: ['61-45=16', '41-16=25']
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[16, 33], Operations: ['61-45=16', '41-8=33']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,93 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
27,
58,
98,
60
] | 73 |
[
"27+58=85",
"98+60=158",
"158-85=73"
] |
Current State: 73:[27, 58, 98, 60], Operations: []
Exploring Operation: 27+58=85, Resulting Numbers: [98, 60, 85]
Generated Node #2: [98, 60, 85] from Operation: 27+58=85
Current State: 73:[98, 60, 85], Operations: ['27+58=85']
Exploring Operation: 98+60=158, Resulting Numbers: [85, 158]
Generated Node #3: [85, 158] from Operation: 98+60=158
Current State: 73:[85, 158], Operations: ['27+58=85', '98+60=158']
Exploring Operation: 158-85=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[27, 58, 98, 60], Operations: []
Exploring Operation: 27+60=87, Resulting Numbers: [58, 98, 87]
Generated Node #0,0: 73:[58, 98, 87] Operation: 27+60=87
Exploring Operation: 98-27=71, Resulting Numbers: [58, 60, 71]
Generated Node #0,1: 73:[58, 60, 71] Operation: 98-27=71
Exploring Operation: 27+58=85, Resulting Numbers: [98, 60, 85]
Generated Node #0,2: 73:[98, 60, 85] Operation: 27+58=85
Moving to Node #0,1
Current State: 73:[58, 60, 71], Operations: ['98-27=71']
Exploring Operation: 60-58=2, Resulting Numbers: [71, 2]
Generated Node #0,1,0: 73:[71, 2] Operation: 60-58=2
Exploring Operation: 58+60=118, Resulting Numbers: [71, 118]
Generated Node #0,1,1: 73:[71, 118] Operation: 58+60=118
Exploring Operation: 58+71=129, Resulting Numbers: [60, 129]
Generated Node #0,1,2: 73:[60, 129] Operation: 58+71=129
Moving to Node #0,2
Current State: 73:[98, 60, 85], Operations: ['27+58=85']
Exploring Operation: 98-60=38, Resulting Numbers: [85, 38]
Generated Node #0,2,0: 73:[85, 38] Operation: 98-60=38
Exploring Operation: 98-85=13, Resulting Numbers: [60, 13]
Generated Node #0,2,1: 73:[60, 13] Operation: 98-85=13
Exploring Operation: 85-60=25, Resulting Numbers: [98, 25]
Generated Node #0,2,2: 73:[98, 25] Operation: 85-60=25
Moving to Node #0,0
Current State: 73:[58, 98, 87], Operations: ['27+60=87']
Exploring Operation: 87-58=29, Resulting Numbers: [98, 29]
Generated Node #0,0,0: 73:[98, 29] Operation: 87-58=29
Exploring Operation: 98-58=40, Resulting Numbers: [87, 40]
Generated Node #0,0,1: 73:[87, 40] Operation: 98-58=40
Exploring Operation: 98-87=11, Resulting Numbers: [58, 11]
Generated Node #0,0,2: 73:[58, 11] Operation: 98-87=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[87, 40], Operations: ['27+60=87', '98-58=40']
Exploring Operation: 87+40=127, Resulting Numbers: [127]
127,73 unequal: No Solution
Exploring Operation: 87*40=3480, Resulting Numbers: [3480]
3480,73 unequal: No Solution
Exploring Operation: 87-40=47, Resulting Numbers: [47]
47,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[98, 29], Operations: ['27+60=87', '87-58=29']
Exploring Operation: 98+29=127, Resulting Numbers: [127]
127,73 unequal: No Solution
Exploring Operation: 98-29=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 98*29=2842, Resulting Numbers: [2842]
2842,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[58, 11], Operations: ['27+60=87', '98-87=11']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,73 unequal: No Solution
Exploring Operation: 58*11=638, Resulting Numbers: [638]
638,73 unequal: No Solution
Exploring Operation: 58+11=69, Resulting Numbers: [69]
69,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 73:[71, 118], Operations: ['98-27=71', '58+60=118']
Exploring Operation: 71+118=189, Resulting Numbers: [189]
189,73 unequal: No Solution
Exploring Operation: 118-71=47, Resulting Numbers: [47]
47,73 unequal: No Solution
Exploring Operation: 71*118=8378, Resulting Numbers: [8378]
8378,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[85, 38], Operations: ['27+58=85', '98-60=38']
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,73 unequal: No Solution
Exploring Operation: 85+38=123, Resulting Numbers: [123]
123,73 unequal: No Solution
Exploring Operation: 85*38=3230, Resulting Numbers: [3230]
3230,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[60, 129], Operations: ['98-27=71', '58+71=129']
Exploring Operation: 60+129=189, Resulting Numbers: [189]
189,73 unequal: No Solution
Exploring Operation: 60*129=7740, Resulting Numbers: [7740]
7740,73 unequal: No Solution
Exploring Operation: 129-60=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[71, 2], Operations: ['98-27=71', '60-58=2']
Exploring Operation: 71*2=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[27, 58, 98, 60], Operations: []
Exploring Operation: 98-27=71, Resulting Numbers: [58, 60, 71]
Generated Node #0,1: 73:[58, 60, 71] Operation: 98-27=71
Moving to Node #0,1
Current State: 73:[58, 60, 71], Operations: ['98-27=71']
Exploring Operation: 60-58=2, Resulting Numbers: [71, 2]
Generated Node #0,1,0: 73:[71, 2] Operation: 60-58=2
Moving to Node #0,1,0
Current State: 73:[71, 2], Operations: ['98-27=71', '60-58=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 0.96875 |
hs_3
|
mult_heuristic
|
[
20,
19,
63,
57
] | 13 |
[
"63+57=120",
"120/20=6",
"19-6=13"
] |
Current State: 13:[20, 19, 63, 57], Operations: []
Exploring Operation: 63+57=120, Resulting Numbers: [20, 19, 120]
Generated Node #2: [20, 19, 120] from Operation: 63+57=120
Current State: 13:[20, 19, 120], Operations: ['63+57=120']
Exploring Operation: 120/20=6, Resulting Numbers: [19, 6]
Generated Node #3: [19, 6] from Operation: 120/20=6
Current State: 13:[19, 6], Operations: ['63+57=120', '120/20=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
Current State: 13:[20, 19, 63, 57], Operations: []
Exploring Operation: 63-20=43, Resulting Numbers: [19, 57, 43]
Generated Node #0,0: 13:[19, 57, 43] Operation: 63-20=43
Exploring Operation: 57/19=3, Resulting Numbers: [20, 63, 3]
Generated Node #0,1: 13:[20, 63, 3] Operation: 57/19=3
Exploring Operation: 57-20=37, Resulting Numbers: [19, 63, 37]
Generated Node #0,2: 13:[19, 63, 37] Operation: 57-20=37
Exploring Operation: 63-57=6, Resulting Numbers: [20, 19, 6]
Generated Node #0,3: 13:[20, 19, 6] Operation: 63-57=6
Moving to Node #0,3
Current State: 13:[20, 19, 6], Operations: ['63-57=6']
Exploring Operation: 20-19=1, Resulting Numbers: [6, 1]
Generated Node #0,3,0: 13:[6, 1] Operation: 20-19=1
Exploring Operation: 20-6=14, Resulting Numbers: [19, 14]
Generated Node #0,3,1: 13:[19, 14] Operation: 20-6=14
Exploring Operation: 19-6=13, Resulting Numbers: [20, 13]
Generated Node #0,3,2: 13:[20, 13] Operation: 19-6=13
Exploring Operation: 20+6=26, Resulting Numbers: [19, 26]
Generated Node #0,3,3: 13:[19, 26] Operation: 20+6=26
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 13:[19, 14], Operations: ['63-57=6', '20-6=14']
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,13 unequal: No Solution
Exploring Operation: 19*14=266, Resulting Numbers: [266]
266,13 unequal: No Solution
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,13 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 #0,3,2
Current State: 13:[20, 13], Operations: ['63-57=6', '19-6=13']
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,13 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,13 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 #0,3,0
Current State: 13:[6, 1], Operations: ['63-57=6', '20-19=1']
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,13 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 #0,3,3
Current State: 13:[19, 26], Operations: ['63-57=6', '20+6=26']
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 19+26=45, Resulting Numbers: [45]
45,13 unequal: No Solution
Exploring Operation: 19*26=494, Resulting Numbers: [494]
494,13 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:[20, 63, 3], Operations: ['57/19=3']
Exploring Operation: 63/3=21, Resulting Numbers: [20, 21]
Generated Node #0,1,0: 13:[20, 21] Operation: 63/3=21
Exploring Operation: 63-3=60, Resulting Numbers: [20, 60]
Generated Node #0,1,1: 13:[20, 60] Operation: 63-3=60
Exploring Operation: 20-3=17, Resulting Numbers: [63, 17]
Generated Node #0,1,2: 13:[63, 17] Operation: 20-3=17
Exploring Operation: 63-20=43, Resulting Numbers: [3, 43]
Generated Node #0,1,3: 13:[3, 43] Operation: 63-20=43
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[20, 21], Operations: ['57/19=3', '63/3=21']
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,13 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,13 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,13 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 #0,1,3
Current State: 13:[3, 43], Operations: ['57/19=3', '63-20=43']
Exploring Operation: 3*43=129, Resulting Numbers: [129]
129,13 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,13 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[20, 60], Operations: ['57/19=3', '63-3=60']
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,13 unequal: No Solution
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,13 unequal: No Solution
Exploring Operation: 20*60=1200, Resulting Numbers: [1200]
1200,13 unequal: No Solution
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[63, 17], Operations: ['57/19=3', '20-3=17']
Exploring Operation: 63+17=80, Resulting Numbers: [80]
80,13 unequal: No Solution
Exploring Operation: 63*17=1071, Resulting Numbers: [1071]
1071,13 unequal: No Solution
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 13:[19, 63, 37], Operations: ['57-20=37']
Exploring Operation: 63-19=44, Resulting Numbers: [37, 44]
Generated Node #0,2,0: 13:[37, 44] Operation: 63-19=44
Exploring Operation: 37-19=18, Resulting Numbers: [63, 18]
Generated Node #0,2,1: 13:[63, 18] Operation: 37-19=18
Exploring Operation: 19+63=82, Resulting Numbers: [37, 82]
Generated Node #0,2,2: 13:[37, 82] Operation: 19+63=82
Exploring Operation: 63-37=26, Resulting Numbers: [19, 26]
Generated Node #0,2,3: 13:[19, 26] Operation: 63-37=26
Moving to Node #0,0
Current State: 13:[19, 57, 43], Operations: ['63-20=43']
Exploring Operation: 57-43=14, Resulting Numbers: [19, 14]
Generated Node #0,0,0: 13:[19, 14] Operation: 57-43=14
Exploring Operation: 57-19=38, Resulting Numbers: [43, 38]
Generated Node #0,0,1: 13:[43, 38] Operation: 57-19=38
Exploring Operation: 43-19=24, Resulting Numbers: [57, 24]
Generated Node #0,0,2: 13:[57, 24] Operation: 43-19=24
Exploring Operation: 57/19=3, Resulting Numbers: [43, 3]
Generated Node #0,0,3: 13:[43, 3] Operation: 57/19=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[19, 14], Operations: ['63-20=43', '57-43=14']
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 19*14=266, Resulting Numbers: [266]
266,13 unequal: No Solution
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,13 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 #0,0,3
Current State: 13:[43, 3], Operations: ['63-20=43', '57/19=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,13 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,13 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 #0,0,1
Current State: 13:[43, 38], Operations: ['63-20=43', '57-19=38']
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,13 unequal: No Solution
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 13:[57, 24], Operations: ['63-20=43', '43-19=24']
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,13 unequal: No Solution
Exploring Operation: 57*24=1368, Resulting Numbers: [1368]
1368,13 unequal: No Solution
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 13:[19, 26], Operations: ['57-20=37', '63-37=26']
Exploring Operation: 19*26=494, Resulting Numbers: [494]
494,13 unequal: No Solution
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 19+26=45, Resulting Numbers: [45]
45,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[63, 18], Operations: ['57-20=37', '37-19=18']
Exploring Operation: 63*18=1134, Resulting Numbers: [1134]
1134,13 unequal: No Solution
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,13 unequal: No Solution
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[37, 44], Operations: ['57-20=37', '63-19=44']
Exploring Operation: 37*44=1628, Resulting Numbers: [1628]
1628,13 unequal: No Solution
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 37+44=81, Resulting Numbers: [81]
81,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[37, 82], Operations: ['57-20=37', '19+63=82']
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,13 unequal: No Solution
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,13 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,13 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
4,
9,
69,
91
] | 94 |
[
"9+91=100",
"100/4=25",
"69+25=94"
] |
Current State: 94:[4, 9, 69, 91], Operations: []
Exploring Operation: 9+91=100, Resulting Numbers: [4, 69, 100]
Generated Node #2: [4, 69, 100] from Operation: 9+91=100
Current State: 94:[4, 69, 100], Operations: ['9+91=100']
Exploring Operation: 100/4=25, Resulting Numbers: [69, 25]
Generated Node #3: [69, 25] from Operation: 100/4=25
Current State: 94:[69, 25], Operations: ['9+91=100', '100/4=25']
Exploring Operation: 69+25=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[4, 9, 69, 91], Operations: []
Exploring Operation: 69-9=60, Resulting Numbers: [4, 91, 60]
Generated Node #0,0: 94:[4, 91, 60] Operation: 69-9=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[4, 91, 60], Operations: ['69-9=60']
Exploring Operation: 60-4=56, Resulting Numbers: [91, 56]
Generated Node #0,0,0: 94:[91, 56] Operation: 60-4=56
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[91, 56], Operations: ['69-9=60', '60-4=56']
Exploring Operation: 91-56=35, Resulting Numbers: [35]
35,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
11,
56,
77,
43
] | 79 |
[
"56-11=45",
"77-43=34",
"45+34=79"
] |
Current State: 79:[11, 56, 77, 43], Operations: []
Exploring Operation: 56-11=45, Resulting Numbers: [77, 43, 45]
Generated Node #2: [77, 43, 45] from Operation: 56-11=45
Current State: 79:[77, 43, 45], Operations: ['56-11=45']
Exploring Operation: 77-43=34, Resulting Numbers: [45, 34]
Generated Node #3: [45, 34] from Operation: 77-43=34
Current State: 79:[45, 34], Operations: ['56-11=45', '77-43=34']
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[11, 56, 77, 43], Operations: []
Exploring Operation: 11+56=67, Resulting Numbers: [77, 43, 67]
Generated Node #0,0: 79:[77, 43, 67] Operation: 11+56=67
Moving to Node #0,0
Current State: 79:[77, 43, 67], Operations: ['11+56=67']
Exploring Operation: 43+67=110, Resulting Numbers: [77, 110]
Generated Node #0,0,0: 79:[77, 110] Operation: 43+67=110
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[77, 110], Operations: ['11+56=67', '43+67=110']
Exploring Operation: 110-77=33, Resulting Numbers: [33]
33,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
2,
68,
34,
30
] | 14 |
[
"30-2=28",
"68/34=2",
"28/2=14"
] |
Current State: 14:[2, 68, 34, 30], Operations: []
Exploring Operation: 30-2=28, Resulting Numbers: [68, 34, 28]
Generated Node #2: [68, 34, 28] from Operation: 30-2=28
Current State: 14:[68, 34, 28], Operations: ['30-2=28']
Exploring Operation: 68/34=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 68/34=2
Current State: 14:[28, 2], Operations: ['30-2=28', '68/34=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
Current State: 14:[2, 68, 34, 30], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [2, 30, 2]
Generated Node #0,0: 14:[2, 30, 2] Operation: 68/34=2
Exploring Operation: 68-34=34, Resulting Numbers: [2, 30, 34]
Generated Node #0,1: 14:[2, 30, 34] Operation: 68-34=34
Exploring Operation: 68/2=34, Resulting Numbers: [34, 30, 34]
Generated Node #0,2: 14:[34, 30, 34] Operation: 68/2=34
Exploring Operation: 68-30=38, Resulting Numbers: [2, 34, 38]
Generated Node #0,3: 14:[2, 34, 38] Operation: 68-30=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[2, 30, 2], Operations: ['68/34=2']
Exploring Operation: 30/2=15, Resulting Numbers: [2, 15]
Generated Node #0,0,0: 14:[2, 15] Operation: 30/2=15
Exploring Operation: 30-2=28, Resulting Numbers: [2, 28]
Generated Node #0,0,1: 14:[2, 28] Operation: 30-2=28
Exploring Operation: 30/2=15, Resulting Numbers: [2, 15]
Generated Node #0,0,2: 14:[2, 15] Operation: 30/2=15
Exploring Operation: 30-2=28, Resulting Numbers: [2, 28]
Generated Node #0,0,3: 14:[2, 28] Operation: 30-2=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[2, 15], Operations: ['68/34=2', '30/2=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,14 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 #0,0,2
Current State: 14:[2, 15], Operations: ['68/34=2', '30/2=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,14 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:[2, 28], Operations: ['68/34=2', '30-2=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,14 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[2, 68, 34, 30], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [2, 30, 2]
Generated Node #0,0: 14:[2, 30, 2] Operation: 68/34=2
Moving to Node #0,0
Current State: 14:[2, 30, 2], Operations: ['68/34=2']
Exploring Operation: 30-2=28, Resulting Numbers: [2, 28]
Generated Node #0,0,1: 14:[2, 28] Operation: 30-2=28
Moving to Node #0,0,1
Current State: 14:[2, 28], Operations: ['68/34=2', '30-2=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 |
hs_4
|
sum_heuristic
|
[
59,
96,
9,
3
] | 94 |
[
"96+9=105",
"105/3=35",
"59+35=94"
] |
Current State: 94:[59, 96, 9, 3], Operations: []
Exploring Operation: 96+9=105, Resulting Numbers: [59, 3, 105]
Generated Node #2: [59, 3, 105] from Operation: 96+9=105
Current State: 94:[59, 3, 105], Operations: ['96+9=105']
Exploring Operation: 105/3=35, Resulting Numbers: [59, 35]
Generated Node #3: [59, 35] from Operation: 105/3=35
Current State: 94:[59, 35], Operations: ['96+9=105', '105/3=35']
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[59, 96, 9, 3], Operations: []
Exploring Operation: 59-9=50, Resulting Numbers: [96, 3, 50]
Generated Node #0,0: 94:[96, 3, 50] Operation: 59-9=50
Exploring Operation: 9/3=3, Resulting Numbers: [59, 96, 3]
Generated Node #0,1: 94:[59, 96, 3] Operation: 9/3=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[96, 3, 50], Operations: ['59-9=50']
Exploring Operation: 50-3=47, Resulting Numbers: [96, 47]
Generated Node #0,0,0: 94:[96, 47] Operation: 50-3=47
Exploring Operation: 96-50=46, Resulting Numbers: [3, 46]
Generated Node #0,0,1: 94:[3, 46] Operation: 96-50=46
Moving to Node #0,0,0
Current State: 94:[96, 47], Operations: ['59-9=50', '50-3=47']
Exploring Operation: 96+47=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[3, 46], Operations: ['59-9=50', '96-50=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,94 unequal: No Solution
No 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: 94:[59, 96, 3], Operations: ['9/3=3']
Exploring Operation: 96-59=37, Resulting Numbers: [3, 37]
Generated Node #0,1,0: 94:[3, 37] Operation: 96-59=37
Exploring Operation: 59-3=56, Resulting Numbers: [96, 56]
Generated Node #0,1,1: 94:[96, 56] Operation: 59-3=56
Moving to Node #0,1,0
Current State: 94:[3, 37], Operations: ['9/3=3', '96-59=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[96, 56], Operations: ['9/3=3', '59-3=56']
Exploring Operation: 96-56=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 96+56=152, Resulting Numbers: [152]
152,94 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
|
[
80,
14,
67,
58
] | 46 |
[
"67-58=9",
"14*9=126",
"126-80=46"
] |
Current State: 46:[80, 14, 67, 58], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [80, 14, 9]
Generated Node #2: [80, 14, 9] from Operation: 67-58=9
Current State: 46:[80, 14, 9], Operations: ['67-58=9']
Exploring Operation: 14*9=126, Resulting Numbers: [80, 126]
Generated Node #3: [80, 126] from Operation: 14*9=126
Current State: 46:[80, 126], Operations: ['67-58=9', '14*9=126']
Exploring Operation: 126-80=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[80, 14, 67, 58], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [14, 58, 13]
Generated Node #0,0: 46:[14, 58, 13] Operation: 80-67=13
Exploring Operation: 80-58=22, Resulting Numbers: [14, 67, 22]
Generated Node #0,1: 46:[14, 67, 22] Operation: 80-58=22
Exploring Operation: 67-58=9, Resulting Numbers: [80, 14, 9]
Generated Node #0,2: 46:[80, 14, 9] Operation: 67-58=9
Moving to Node #0,0
Current State: 46:[14, 58, 13], Operations: ['80-67=13']
Exploring Operation: 58-14=44, Resulting Numbers: [13, 44]
Generated Node #0,0,0: 46:[13, 44] Operation: 58-14=44
Exploring Operation: 58-13=45, Resulting Numbers: [14, 45]
Generated Node #0,0,1: 46:[14, 45] Operation: 58-13=45
Exploring Operation: 14-13=1, Resulting Numbers: [58, 1]
Generated Node #0,0,2: 46:[58, 1] Operation: 14-13=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[14, 45], Operations: ['80-67=13', '58-13=45']
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,46 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,46 unequal: No Solution
No 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: 46:[13, 44], Operations: ['80-67=13', '58-14=44']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 13*44=572, Resulting Numbers: [572]
572,46 unequal: No Solution
No 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: 46:[58, 1], Operations: ['80-67=13', '14-13=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,46 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: 46:[14, 67, 22], Operations: ['80-58=22']
Exploring Operation: 22-14=8, Resulting Numbers: [67, 8]
Generated Node #0,1,0: 46:[67, 8] Operation: 22-14=8
Exploring Operation: 67-22=45, Resulting Numbers: [14, 45]
Generated Node #0,1,1: 46:[14, 45] Operation: 67-22=45
Exploring Operation: 67-14=53, Resulting Numbers: [22, 53]
Generated Node #0,1,2: 46:[22, 53] Operation: 67-14=53
Moving to Node #0,2
Current State: 46:[80, 14, 9], Operations: ['67-58=9']
Exploring Operation: 14+9=23, Resulting Numbers: [80, 23]
Generated Node #0,2,0: 46:[80, 23] Operation: 14+9=23
Exploring Operation: 80-14=66, Resulting Numbers: [9, 66]
Generated Node #0,2,1: 46:[9, 66] Operation: 80-14=66
Exploring Operation: 80-9=71, Resulting Numbers: [14, 71]
Generated Node #0,2,2: 46:[14, 71] Operation: 80-9=71
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 46:[9, 66], Operations: ['67-58=9', '80-14=66']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,46 unequal: No Solution
Exploring Operation: 9*66=594, Resulting Numbers: [594]
594,46 unequal: No Solution
No 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: 46:[80, 23], Operations: ['67-58=9', '14+9=23']
Exploring Operation: 80+23=103, Resulting Numbers: [103]
103,46 unequal: No Solution
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 80*23=1840, Resulting Numbers: [1840]
1840,46 unequal: No Solution
No 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: 46:[14, 71], Operations: ['67-58=9', '80-9=71']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 14+71=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 14*71=994, Resulting Numbers: [994]
994,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 46:[22, 53], Operations: ['80-58=22', '67-14=53']
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,46 unequal: No Solution
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,46 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[14, 45], Operations: ['80-58=22', '67-22=45']
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,46 unequal: No Solution
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[67, 8], Operations: ['80-58=22', '22-14=8']
Exploring Operation: 67+8=75, Resulting Numbers: [75]
75,46 unequal: No Solution
Exploring Operation: 67*8=536, Resulting Numbers: [536]
536,46 unequal: No Solution
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,46 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
71,
97,
53,
68
] | 47 |
[
"71+97=168",
"53+68=121",
"168-121=47"
] |
Current State: 47:[71, 97, 53, 68], Operations: []
Exploring Operation: 71+97=168, Resulting Numbers: [53, 68, 168]
Generated Node #2: [53, 68, 168] from Operation: 71+97=168
Current State: 47:[53, 68, 168], Operations: ['71+97=168']
Exploring Operation: 53+68=121, Resulting Numbers: [168, 121]
Generated Node #3: [168, 121] from Operation: 53+68=121
Current State: 47:[168, 121], Operations: ['71+97=168', '53+68=121']
Exploring Operation: 168-121=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[71, 97, 53, 68], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [71, 53, 29]
Generated Node #0,0: 47:[71, 53, 29] Operation: 97-68=29
Exploring Operation: 97-71=26, Resulting Numbers: [53, 68, 26]
Generated Node #0,1: 47:[53, 68, 26] Operation: 97-71=26
Exploring Operation: 97-53=44, Resulting Numbers: [71, 68, 44]
Generated Node #0,2: 47:[71, 68, 44] Operation: 97-53=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[71, 53, 29], Operations: ['97-68=29']
Exploring Operation: 53-29=24, Resulting Numbers: [71, 24]
Generated Node #0,0,0: 47:[71, 24] Operation: 53-29=24
Exploring Operation: 71-29=42, Resulting Numbers: [53, 42]
Generated Node #0,0,1: 47:[53, 42] Operation: 71-29=42
Exploring Operation: 71-53=18, Resulting Numbers: [29, 18]
Generated Node #0,0,2: 47:[29, 18] Operation: 71-53=18
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[53, 42], Operations: ['97-68=29', '71-29=42']
Exploring Operation: 53*42=2226, Resulting Numbers: [2226]
2226,47 unequal: No Solution
Exploring Operation: 53-42=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 53+42=95, Resulting Numbers: [95]
95,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[71, 24], Operations: ['97-68=29', '53-29=24']
Exploring Operation: 71*24=1704, Resulting Numbers: [1704]
1704,47 unequal: No Solution
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[71, 97, 53, 68], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [71, 53, 29]
Generated Node #0,0: 47:[71, 53, 29] Operation: 97-68=29
Moving to Node #0,0
Current State: 47:[71, 53, 29], Operations: ['97-68=29']
Exploring Operation: 53-29=24, Resulting Numbers: [71, 24]
Generated Node #0,0,0: 47:[71, 24] Operation: 53-29=24
Moving to Node #0,0,0
Current State: 47:[71, 24], Operations: ['97-68=29', '53-29=24']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_3
|
mult_heuristic
|
[
1,
30,
5,
99
] | 46 |
[
"30-1=29",
"5*29=145",
"145-99=46"
] |
Current State: 46:[1, 30, 5, 99], Operations: []
Exploring Operation: 30-1=29, Resulting Numbers: [5, 99, 29]
Generated Node #2: [5, 99, 29] from Operation: 30-1=29
Current State: 46:[5, 99, 29], Operations: ['30-1=29']
Exploring Operation: 5*29=145, Resulting Numbers: [99, 145]
Generated Node #3: [99, 145] from Operation: 5*29=145
Current State: 46:[99, 145], Operations: ['30-1=29', '5*29=145']
Exploring Operation: 145-99=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[1, 30, 5, 99], Operations: []
Exploring Operation: 99-30=69, Resulting Numbers: [1, 5, 69]
Generated Node #0,0: 46:[1, 5, 69] Operation: 99-30=69
Exploring Operation: 99-5=94, Resulting Numbers: [1, 30, 94]
Generated Node #0,1: 46:[1, 30, 94] Operation: 99-5=94
Exploring Operation: 30/5=6, Resulting Numbers: [1, 99, 6]
Generated Node #0,2: 46:[1, 99, 6] Operation: 30/5=6
Exploring Operation: 30-5=25, Resulting Numbers: [1, 99, 25]
Generated Node #0,3: 46:[1, 99, 25] Operation: 30-5=25
Exploring Operation: 30-1=29, Resulting Numbers: [5, 99, 29]
Generated Node #0,4: 46:[5, 99, 29] Operation: 30-1=29
Moving to Node #0,0
Current State: 46:[1, 5, 69], Operations: ['99-30=69']
Exploring Operation: 5/1=5, Resulting Numbers: [69, 5]
Generated Node #0,0,0: 46:[69, 5] Operation: 5/1=5
Exploring Operation: 1*5=5, Resulting Numbers: [69, 5]
Generated Node #0,0,1: 46:[69, 5] Operation: 1*5=5
Exploring Operation: 69-5=64, Resulting Numbers: [1, 64]
Generated Node #0,0,2: 46:[1, 64] Operation: 69-5=64
Exploring Operation: 69-1=68, Resulting Numbers: [5, 68]
Generated Node #0,0,3: 46:[5, 68] Operation: 69-1=68
Exploring Operation: 5-1=4, Resulting Numbers: [69, 4]
Generated Node #0,0,4: 46:[69, 4] Operation: 5-1=4
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 46:[1, 64], Operations: ['99-30=69', '69-5=64']
Exploring Operation: 1*64=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 64/1=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 1+64=65, Resulting Numbers: [65]
65,46 unequal: No Solution
No 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: 46:[5, 68], Operations: ['99-30=69', '69-1=68']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 5*68=340, Resulting Numbers: [340]
340,46 unequal: No Solution
Exploring Operation: 5+68=73, Resulting Numbers: [73]
73,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 46:[69, 4], Operations: ['99-30=69', '5-1=4']
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 69*4=276, Resulting Numbers: [276]
276,46 unequal: No Solution
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,46 unequal: No Solution
No 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: 46:[69, 5], Operations: ['99-30=69', '5/1=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,46 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,46 unequal: No Solution
No 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: 46:[69, 5], Operations: ['99-30=69', '1*5=5']
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,46 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: 46:[1, 99, 25], Operations: ['30-5=25']
Exploring Operation: 99-1=98, Resulting Numbers: [25, 98]
Generated Node #0,3,0: 46:[25, 98] Operation: 99-1=98
Exploring Operation: 99-25=74, Resulting Numbers: [1, 74]
Generated Node #0,3,1: 46:[1, 74] Operation: 99-25=74
Exploring Operation: 99/1=99, Resulting Numbers: [25, 99]
Generated Node #0,3,2: 46:[25, 99] Operation: 99/1=99
Exploring Operation: 25-1=24, Resulting Numbers: [99, 24]
Generated Node #0,3,3: 46:[99, 24] Operation: 25-1=24
Exploring Operation: 1*99=99, Resulting Numbers: [25, 99]
Generated Node #0,3,4: 46:[25, 99] Operation: 1*99=99
Moving to Node #0,1
Current State: 46:[1, 30, 94], Operations: ['99-5=94']
Exploring Operation: 94-1=93, Resulting Numbers: [30, 93]
Generated Node #0,1,0: 46:[30, 93] Operation: 94-1=93
Exploring Operation: 1*30=30, Resulting Numbers: [94, 30]
Generated Node #0,1,1: 46:[94, 30] Operation: 1*30=30
Exploring Operation: 94-30=64, Resulting Numbers: [1, 64]
Generated Node #0,1,2: 46:[1, 64] Operation: 94-30=64
Exploring Operation: 30/1=30, Resulting Numbers: [94, 30]
Generated Node #0,1,3: 46:[94, 30] Operation: 30/1=30
Exploring Operation: 30-1=29, Resulting Numbers: [94, 29]
Generated Node #0,1,4: 46:[94, 29] Operation: 30-1=29
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[1, 64], Operations: ['99-5=94', '94-30=64']
Exploring Operation: 64/1=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 1+64=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 1*64=64, Resulting Numbers: [64]
64,46 unequal: No Solution
No 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: 46:[30, 93], Operations: ['99-5=94', '94-1=93']
Exploring Operation: 30*93=2790, Resulting Numbers: [2790]
2790,46 unequal: No Solution
Exploring Operation: 30+93=123, Resulting Numbers: [123]
123,46 unequal: No Solution
Exploring Operation: 93-30=63, Resulting Numbers: [63]
63,46 unequal: No Solution
No 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: 46:[94, 29], Operations: ['99-5=94', '30-1=29']
Exploring Operation: 94*29=2726, Resulting Numbers: [2726]
2726,46 unequal: No Solution
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 94+29=123, Resulting Numbers: [123]
123,46 unequal: No Solution
No 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: 46:[94, 30], Operations: ['99-5=94', '1*30=30']
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 94*30=2820, Resulting Numbers: [2820]
2820,46 unequal: No Solution
Exploring Operation: 94+30=124, Resulting Numbers: [124]
124,46 unequal: No Solution
No 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: 46:[94, 30], Operations: ['99-5=94', '30/1=30']
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 94+30=124, Resulting Numbers: [124]
124,46 unequal: No Solution
Exploring Operation: 94*30=2820, Resulting Numbers: [2820]
2820,46 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: 46:[1, 99, 6], Operations: ['30/5=6']
Exploring Operation: 6-1=5, Resulting Numbers: [99, 5]
Generated Node #0,2,0: 46:[99, 5] Operation: 6-1=5
Exploring Operation: 1*99=99, Resulting Numbers: [6, 99]
Generated Node #0,2,1: 46:[6, 99] Operation: 1*99=99
Exploring Operation: 99/1=99, Resulting Numbers: [6, 99]
Generated Node #0,2,2: 46:[6, 99] Operation: 99/1=99
Exploring Operation: 99-1=98, Resulting Numbers: [6, 98]
Generated Node #0,2,3: 46:[6, 98] Operation: 99-1=98
Exploring Operation: 99-6=93, Resulting Numbers: [1, 93]
Generated Node #0,2,4: 46:[1, 93] Operation: 99-6=93
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 46:[1, 93], Operations: ['30/5=6', '99-6=93']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 1+93=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 1*93=93, Resulting Numbers: [93]
93,46 unequal: No Solution
No 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: 46:[99, 5], Operations: ['30/5=6', '6-1=5']
Exploring Operation: 99*5=495, Resulting Numbers: [495]
495,46 unequal: No Solution
Exploring Operation: 99+5=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,46 unequal: No Solution
No 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: 46:[6, 98], Operations: ['30/5=6', '99-1=98']
Exploring Operation: 98-6=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 6+98=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 6*98=588, Resulting Numbers: [588]
588,46 unequal: No Solution
No 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: 46:[6, 99], Operations: ['30/5=6', '1*99=99']
Exploring Operation: 6*99=594, Resulting Numbers: [594]
594,46 unequal: No Solution
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 6+99=105, Resulting Numbers: [105]
105,46 unequal: No Solution
No 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: 46:[6, 99], Operations: ['30/5=6', '99/1=99']
Exploring Operation: 6+99=105, Resulting Numbers: [105]
105,46 unequal: No Solution
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 6*99=594, Resulting Numbers: [594]
594,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 46:[5, 99, 29], Operations: ['30-1=29']
Exploring Operation: 99-5=94, Resulting Numbers: [29, 94]
Generated Node #0,4,0: 46:[29, 94] Operation: 99-5=94
Exploring Operation: 99-29=70, Resulting Numbers: [5, 70]
Generated Node #0,4,1: 46:[5, 70] Operation: 99-29=70
Exploring Operation: 5+29=34, Resulting Numbers: [99, 34]
Generated Node #0,4,2: 46:[99, 34] Operation: 5+29=34
Exploring Operation: 5+99=104, Resulting Numbers: [29, 104]
Generated Node #0,4,3: 46:[29, 104] Operation: 5+99=104
Exploring Operation: 29-5=24, Resulting Numbers: [99, 24]
Generated Node #0,4,4: 46:[99, 24] Operation: 29-5=24
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 46:[5, 70], Operations: ['30-1=29', '99-29=70']
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,46 unequal: No Solution
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 5*70=350, Resulting Numbers: [350]
350,46 unequal: No Solution
No 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: 46:[29, 94], Operations: ['30-1=29', '99-5=94']
Exploring Operation: 29*94=2726, Resulting Numbers: [2726]
2726,46 unequal: No Solution
Exploring Operation: 29+94=123, Resulting Numbers: [123]
123,46 unequal: No Solution
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 46:[99, 24], Operations: ['30-1=29', '29-5=24']
Exploring Operation: 99*24=2376, Resulting Numbers: [2376]
2376,46 unequal: No Solution
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,46 unequal: No Solution
Exploring Operation: 99+24=123, Resulting Numbers: [123]
123,46 unequal: No Solution
No 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: 46:[99, 34], Operations: ['30-1=29', '5+29=34']
Exploring Operation: 99-34=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 99*34=3366, Resulting Numbers: [3366]
3366,46 unequal: No Solution
Exploring Operation: 99+34=133, Resulting Numbers: [133]
133,46 unequal: No Solution
No 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: 46:[29, 104], Operations: ['30-1=29', '5+99=104']
Exploring Operation: 104-29=75, Resulting Numbers: [75]
75,46 unequal: No Solution
Exploring Operation: 29*104=3016, Resulting Numbers: [3016]
3016,46 unequal: No Solution
Exploring Operation: 29+104=133, Resulting Numbers: [133]
133,46 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: 46:[1, 74], Operations: ['30-5=25', '99-25=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,46 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[99, 24], Operations: ['30-5=25', '25-1=24']
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,46 unequal: No Solution
Exploring Operation: 99+24=123, Resulting Numbers: [123]
123,46 unequal: No Solution
Exploring Operation: 99*24=2376, Resulting Numbers: [2376]
2376,46 unequal: No Solution
Moving to Node #0,3,0
Current State: 46:[25, 98], Operations: ['30-5=25', '99-1=98']
Exploring Operation: 25+98=123, Resulting Numbers: [123]
123,46 unequal: No Solution
Exploring Operation: 25*98=2450, Resulting Numbers: [2450]
2450,46 unequal: No Solution
Exploring Operation: 98-25=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Moving to Node #0,3,2
Current State: 46:[25, 99], Operations: ['30-5=25', '99/1=99']
Exploring Operation: 99-25=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 25*99=2475, Resulting Numbers: [2475]
2475,46 unequal: No Solution
Exploring Operation: 25+99=124, Resulting Numbers: [124]
124,46 unequal: No Solution
Moving to Node #0,3,4
Current State: 46:[25, 99], Operations: ['30-5=25', '1*99=99']
Exploring Operation: 25*99=2475, Resulting Numbers: [2475]
2475,46 unequal: No Solution
Exploring Operation: 99-25=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 25+99=124, Resulting Numbers: [124]
124,46 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
34,
64,
13,
4
] | 26 |
[
"64+4=68",
"68/34=2",
"13*2=26"
] |
Current State: 26:[34, 64, 13, 4], Operations: []
Exploring Operation: 64+4=68, Resulting Numbers: [34, 13, 68]
Generated Node #2: [34, 13, 68] from Operation: 64+4=68
Current State: 26:[34, 13, 68], Operations: ['64+4=68']
Exploring Operation: 68/34=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 68/34=2
Current State: 26:[13, 2], Operations: ['64+4=68', '68/34=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[34, 64, 13, 4], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [13, 4, 30]
Generated Node #0,0: 26:[13, 4, 30] Operation: 64-34=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[13, 4, 30], Operations: ['64-34=30']
Exploring Operation: 30-4=26, Resulting Numbers: [13, 26]
Generated Node #0,0,0: 26:[13, 26] Operation: 30-4=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[13, 26], Operations: ['64-34=30', '30-4=26']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
52,
96,
51,
22
] | 29 |
[
"96-52=44",
"51+22=73",
"73-44=29"
] |
Current State: 29:[52, 96, 51, 22], Operations: []
Exploring Operation: 96-52=44, Resulting Numbers: [51, 22, 44]
Generated Node #2: [51, 22, 44] from Operation: 96-52=44
Current State: 29:[51, 22, 44], Operations: ['96-52=44']
Exploring Operation: 51+22=73, Resulting Numbers: [44, 73]
Generated Node #3: [44, 73] from Operation: 51+22=73
Current State: 29:[44, 73], Operations: ['96-52=44', '51+22=73']
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
Current State: 29:[52, 96, 51, 22], Operations: []
Exploring Operation: 96-51=45, Resulting Numbers: [52, 22, 45]
Generated Node #0,0: 29:[52, 22, 45] Operation: 96-51=45
Exploring Operation: 96-52=44, Resulting Numbers: [51, 22, 44]
Generated Node #0,1: 29:[51, 22, 44] Operation: 96-52=44
Moving to Node #0,1
Current State: 29:[51, 22, 44], Operations: ['96-52=44']
Exploring Operation: 51-44=7, Resulting Numbers: [22, 7]
Generated Node #0,1,0: 29:[22, 7] Operation: 51-44=7
Exploring Operation: 51-22=29, Resulting Numbers: [44, 29]
Generated Node #0,1,1: 29:[44, 29] Operation: 51-22=29
Moving to Node #0,0
Current State: 29:[52, 22, 45], Operations: ['96-51=45']
Exploring Operation: 52-22=30, Resulting Numbers: [45, 30]
Generated Node #0,0,0: 29:[45, 30] Operation: 52-22=30
Exploring Operation: 52-45=7, Resulting Numbers: [22, 7]
Generated Node #0,0,1: 29:[22, 7] Operation: 52-45=7
Moving to Node #0,1,1
Current State: 29:[44, 29], Operations: ['96-52=44', '51-22=29']
Exploring Operation: 44+29=73, Resulting Numbers: [73]
73,29 unequal: No Solution
Exploring Operation: 44-29=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[45, 30], Operations: ['96-51=45', '52-22=30']
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Exploring Operation: 45+30=75, Resulting Numbers: [75]
75,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[22, 7], Operations: ['96-52=44', '51-44=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[52, 96, 51, 22], Operations: []
Exploring Operation: 96-52=44, Resulting Numbers: [51, 22, 44]
Generated Node #0,1: 29:[51, 22, 44] Operation: 96-52=44
Moving to Node #0,1
Current State: 29:[51, 22, 44], Operations: ['96-52=44']
Exploring Operation: 51-44=7, Resulting Numbers: [22, 7]
Generated Node #0,1,0: 29:[22, 7] Operation: 51-44=7
Moving to Node #0,1,0
Current State: 29:[22, 7], Operations: ['96-52=44', '51-44=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.986979 |
hs_2
|
mult_heuristic
|
[
70,
83,
48,
76
] | 58 |
[
"83*48=3984",
"76+3984=4060",
"4060/70=58"
] |
Current State: 58:[70, 83, 48, 76], Operations: []
Exploring Operation: 83*48=3984, Resulting Numbers: [70, 76, 3984]
Generated Node #2: [70, 76, 3984] from Operation: 83*48=3984
Current State: 58:[70, 76, 3984], Operations: ['83*48=3984']
Exploring Operation: 76+3984=4060, Resulting Numbers: [70, 4060]
Generated Node #3: [70, 4060] from Operation: 76+3984=4060
Current State: 58:[70, 4060], Operations: ['83*48=3984', '76+3984=4060']
Exploring Operation: 4060/70=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[70, 83, 48, 76], Operations: []
Exploring Operation: 83-48=35, Resulting Numbers: [70, 76, 35]
Generated Node #0,0: 58:[70, 76, 35] Operation: 83-48=35
Exploring Operation: 76-48=28, Resulting Numbers: [70, 83, 28]
Generated Node #0,1: 58:[70, 83, 28] Operation: 76-48=28
Exploring Operation: 83-76=7, Resulting Numbers: [70, 48, 7]
Generated Node #0,2: 58:[70, 48, 7] Operation: 83-76=7
Moving to Node #0,2
Current State: 58:[70, 48, 7], Operations: ['83-76=7']
Exploring Operation: 70-7=63, Resulting Numbers: [48, 63]
Generated Node #0,2,0: 58:[48, 63] Operation: 70-7=63
Exploring Operation: 48+7=55, Resulting Numbers: [70, 55]
Generated Node #0,2,1: 58:[70, 55] Operation: 48+7=55
Exploring Operation: 70-48=22, Resulting Numbers: [7, 22]
Generated Node #0,2,2: 58:[7, 22] Operation: 70-48=22
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 58:[7, 22], Operations: ['83-76=7', '70-48=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,58 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 58:[48, 63], Operations: ['83-76=7', '70-7=63']
Exploring Operation: 48+63=111, Resulting Numbers: [111]
111,58 unequal: No Solution
Exploring Operation: 48*63=3024, Resulting Numbers: [3024]
3024,58 unequal: No Solution
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 58:[70, 55], Operations: ['83-76=7', '48+7=55']
Exploring Operation: 70*55=3850, Resulting Numbers: [3850]
3850,58 unequal: No Solution
Exploring Operation: 70+55=125, Resulting Numbers: [125]
125,58 unequal: No Solution
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,58 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: 58:[70, 76, 35], Operations: ['83-48=35']
Exploring Operation: 76-70=6, Resulting Numbers: [35, 6]
Generated Node #0,0,0: 58:[35, 6] Operation: 76-70=6
Exploring Operation: 70-35=35, Resulting Numbers: [76, 35]
Generated Node #0,0,1: 58:[76, 35] Operation: 70-35=35
Exploring Operation: 70/35=2, Resulting Numbers: [76, 2]
Generated Node #0,0,2: 58:[76, 2] Operation: 70/35=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[35, 6], Operations: ['83-48=35', '76-70=6']
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,58 unequal: No Solution
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[76, 2], Operations: ['83-48=35', '70/35=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,58 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,58 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[76, 35], Operations: ['83-48=35', '70-35=35']
Exploring Operation: 76+35=111, Resulting Numbers: [111]
111,58 unequal: No Solution
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 76*35=2660, Resulting Numbers: [2660]
2660,58 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: 58:[70, 83, 28], Operations: ['76-48=28']
Exploring Operation: 83-70=13, Resulting Numbers: [28, 13]
Generated Node #0,1,0: 58:[28, 13] Operation: 83-70=13
Exploring Operation: 83-28=55, Resulting Numbers: [70, 55]
Generated Node #0,1,1: 58:[70, 55] Operation: 83-28=55
Exploring Operation: 70-28=42, Resulting Numbers: [83, 42]
Generated Node #0,1,2: 58:[83, 42] Operation: 70-28=42
Moving to Node #0,1,0
Current State: 58:[28, 13], Operations: ['76-48=28', '83-70=13']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,58 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,58 unequal: No Solution
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[70, 55], Operations: ['76-48=28', '83-28=55']
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,58 unequal: No Solution
Exploring Operation: 70*55=3850, Resulting Numbers: [3850]
3850,58 unequal: No Solution
Exploring Operation: 70+55=125, Resulting Numbers: [125]
125,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[83, 42], Operations: ['76-48=28', '70-28=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 83*42=3486, Resulting Numbers: [3486]
3486,58 unequal: No Solution
Exploring Operation: 83+42=125, Resulting Numbers: [125]
125,58 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
60,
47,
49,
51
] | 69 |
[
"49-47=2",
"60*2=120",
"120-51=69"
] |
Current State: 69:[60, 47, 49, 51], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [60, 51, 2]
Generated Node #2: [60, 51, 2] from Operation: 49-47=2
Current State: 69:[60, 51, 2], Operations: ['49-47=2']
Exploring Operation: 60*2=120, Resulting Numbers: [51, 120]
Generated Node #3: [51, 120] from Operation: 60*2=120
Current State: 69:[51, 120], Operations: ['49-47=2', '60*2=120']
Exploring Operation: 120-51=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[60, 47, 49, 51], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [60, 51, 2]
Generated Node #0,0: 69:[60, 51, 2] Operation: 49-47=2
Moving to Node #0,0
Current State: 69:[60, 51, 2], Operations: ['49-47=2']
Exploring Operation: 60-51=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 69:[2, 9] Operation: 60-51=9
Moving to Node #0,0,0
Current State: 69:[2, 9], Operations: ['49-47=2', '60-51=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,69 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
78,
70,
89,
4
] | 26 |
[
"89-78=11",
"4*11=44",
"70-44=26"
] |
Current State: 26:[78, 70, 89, 4], Operations: []
Exploring Operation: 89-78=11, Resulting Numbers: [70, 4, 11]
Generated Node #2: [70, 4, 11] from Operation: 89-78=11
Current State: 26:[70, 4, 11], Operations: ['89-78=11']
Exploring Operation: 4*11=44, Resulting Numbers: [70, 44]
Generated Node #3: [70, 44] from Operation: 4*11=44
Current State: 26:[70, 44], Operations: ['89-78=11', '4*11=44']
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[78, 70, 89, 4], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [78, 4, 19]
Generated Node #0,0: 26:[78, 4, 19] Operation: 89-70=19
Exploring Operation: 78-70=8, Resulting Numbers: [89, 4, 8]
Generated Node #0,1: 26:[89, 4, 8] Operation: 78-70=8
Exploring Operation: 89-78=11, Resulting Numbers: [70, 4, 11]
Generated Node #0,2: 26:[70, 4, 11] Operation: 89-78=11
Exploring Operation: 78-4=74, Resulting Numbers: [70, 89, 74]
Generated Node #0,3: 26:[70, 89, 74] Operation: 78-4=74
Moving to Node #0,2
Current State: 26:[70, 4, 11], Operations: ['89-78=11']
Exploring Operation: 4+11=15, Resulting Numbers: [70, 15]
Generated Node #0,2,0: 26:[70, 15] Operation: 4+11=15
Exploring Operation: 70-11=59, Resulting Numbers: [4, 59]
Generated Node #0,2,1: 26:[4, 59] Operation: 70-11=59
Exploring Operation: 70-4=66, Resulting Numbers: [11, 66]
Generated Node #0,2,2: 26:[11, 66] Operation: 70-4=66
Exploring Operation: 11-4=7, Resulting Numbers: [70, 7]
Generated Node #0,2,3: 26:[70, 7] Operation: 11-4=7
Moving to Node #0,0
Current State: 26:[78, 4, 19], Operations: ['89-70=19']
Exploring Operation: 4+19=23, Resulting Numbers: [78, 23]
Generated Node #0,0,0: 26:[78, 23] Operation: 4+19=23
Exploring Operation: 78-4=74, Resulting Numbers: [19, 74]
Generated Node #0,0,1: 26:[19, 74] Operation: 78-4=74
Exploring Operation: 19-4=15, Resulting Numbers: [78, 15]
Generated Node #0,0,2: 26:[78, 15] Operation: 19-4=15
Exploring Operation: 78-19=59, Resulting Numbers: [4, 59]
Generated Node #0,0,3: 26:[4, 59] Operation: 78-19=59
Moving to Node #0,1
Current State: 26:[89, 4, 8], Operations: ['78-70=8']
Exploring Operation: 4+8=12, Resulting Numbers: [89, 12]
Generated Node #0,1,0: 26:[89, 12] Operation: 4+8=12
Exploring Operation: 89-8=81, Resulting Numbers: [4, 81]
Generated Node #0,1,1: 26:[4, 81] Operation: 89-8=81
Exploring Operation: 89-4=85, Resulting Numbers: [8, 85]
Generated Node #0,1,2: 26:[8, 85] Operation: 89-4=85
Exploring Operation: 8/4=2, Resulting Numbers: [89, 2]
Generated Node #0,1,3: 26:[89, 2] Operation: 8/4=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[4, 81], Operations: ['78-70=8', '89-8=81']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,26 unequal: No Solution
Exploring Operation: 4*81=324, Resulting Numbers: [324]
324,26 unequal: No Solution
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 26:[89, 2], Operations: ['78-70=8', '8/4=2']
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,26 unequal: No Solution
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,26 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[89, 12], Operations: ['78-70=8', '4+8=12']
Exploring Operation: 89+12=101, Resulting Numbers: [101]
101,26 unequal: No Solution
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,26 unequal: No Solution
Exploring Operation: 89*12=1068, Resulting Numbers: [1068]
1068,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 26:[8, 85], Operations: ['78-70=8', '89-4=85']
Exploring Operation: 8*85=680, Resulting Numbers: [680]
680,26 unequal: No Solution
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,26 unequal: No Solution
Exploring Operation: 8+85=93, Resulting Numbers: [93]
93,26 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: 26:[70, 89, 74], Operations: ['78-4=74']
Exploring Operation: 89-70=19, Resulting Numbers: [74, 19]
Generated Node #0,3,0: 26:[74, 19] Operation: 89-70=19
Exploring Operation: 70+89=159, Resulting Numbers: [74, 159]
Generated Node #0,3,1: 26:[74, 159] Operation: 70+89=159
Exploring Operation: 89-74=15, Resulting Numbers: [70, 15]
Generated Node #0,3,2: 26:[70, 15] Operation: 89-74=15
Exploring Operation: 74-70=4, Resulting Numbers: [89, 4]
Generated Node #0,3,3: 26:[89, 4] Operation: 74-70=4
Moving to Node #0,2,1
Current State: 26:[4, 59], Operations: ['89-78=11', '70-11=59']
Exploring Operation: 4*59=236, Resulting Numbers: [236]
236,26 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Moving to Node #0,0,3
Current State: 26:[4, 59], Operations: ['89-70=19', '78-19=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 4*59=236, Resulting Numbers: [236]
236,26 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[11, 66], Operations: ['89-78=11', '70-4=66']
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 11*66=726, Resulting Numbers: [726]
726,26 unequal: No Solution
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 11+66=77, Resulting Numbers: [77]
77,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[70, 15], Operations: ['89-78=11', '4+11=15']
Exploring Operation: 70*15=1050, Resulting Numbers: [1050]
1050,26 unequal: No Solution
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,26 unequal: No Solution
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[70, 15], Operations: ['78-4=74', '89-74=15']
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 70*15=1050, Resulting Numbers: [1050]
1050,26 unequal: No Solution
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,26 unequal: No Solution
Moving to Node #0,2,3
Current State: 26:[70, 7], Operations: ['89-78=11', '11-4=7']
Exploring Operation: 70*7=490, Resulting Numbers: [490]
490,26 unequal: No Solution
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,26 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[78, 15], Operations: ['89-70=19', '19-4=15']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 78+15=93, Resulting Numbers: [93]
93,26 unequal: No Solution
Exploring Operation: 78*15=1170, Resulting Numbers: [1170]
1170,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[19, 74], Operations: ['89-70=19', '78-4=74']
Exploring Operation: 19+74=93, Resulting Numbers: [93]
93,26 unequal: No Solution
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 19*74=1406, Resulting Numbers: [1406]
1406,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[74, 19], Operations: ['78-4=74', '89-70=19']
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 74+19=93, Resulting Numbers: [93]
93,26 unequal: No Solution
Exploring Operation: 74*19=1406, Resulting Numbers: [1406]
1406,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[78, 23], Operations: ['89-70=19', '4+19=23']
Exploring Operation: 78+23=101, Resulting Numbers: [101]
101,26 unequal: No Solution
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 78*23=1794, Resulting Numbers: [1794]
1794,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[89, 4], Operations: ['78-4=74', '74-70=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,26 unequal: No Solution
Exploring Operation: 89*4=356, Resulting Numbers: [356]
356,26 unequal: No Solution
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[74, 159], Operations: ['78-4=74', '70+89=159']
Exploring Operation: 74*159=11766, Resulting Numbers: [11766]
11766,26 unequal: No Solution
Exploring Operation: 74+159=233, Resulting Numbers: [233]
233,26 unequal: No Solution
Exploring Operation: 159-74=85, Resulting Numbers: [85]
85,26 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
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