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 |
|---|---|---|---|---|---|---|---|---|
[
26,
12,
3,
27
] | 69
|
[
"26-12=14",
"3*14=42",
"27+42=69"
] |
Current State: 69:[26, 12, 3, 27], Operations: []
Exploring Operation: 26-12=14, Resulting Numbers: [3, 27, 14]
Generated Node #2: [3, 27, 14] from Operation: 26-12=14
Current State: 69:[3, 27, 14], Operations: ['26-12=14']
Exploring Operation: 3*14=42, Resulting Numbers: [27, 42]
Generated Node #3: [27, 42] from Operation: 3*14=42
Current State: 69:[27, 42], Operations: ['26-12=14', '3*14=42']
Exploring Operation: 27+42=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
Current State: 69:[26, 12, 3, 27], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [12, 3, 1]
Generated Node #0,0: 69:[12, 3, 1] Operation: 27-26=1
Exploring Operation: 12/3=4, Resulting Numbers: [26, 27, 4]
Generated Node #0,1: 69:[26, 27, 4] Operation: 12/3=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[26, 27, 4], Operations: ['12/3=4']
Exploring Operation: 27-26=1, Resulting Numbers: [4, 1]
Generated Node #0,1,0: 69:[4, 1] Operation: 27-26=1
Exploring Operation: 27-4=23, Resulting Numbers: [26, 23]
Generated Node #0,1,1: 69:[26, 23] Operation: 27-4=23
Moving to Node #0,1,0
Current State: 69:[4, 1], Operations: ['12/3=4', '27-26=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[26, 23], Operations: ['12/3=4', '27-4=23']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,69 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
Current State: 69:[12, 3, 1], Operations: ['27-26=1']
Exploring Operation: 12/3=4, Resulting Numbers: [1, 4]
Generated Node #0,0,0: 69:[1, 4] Operation: 12/3=4
Exploring Operation: 12-3=9, Resulting Numbers: [1, 9]
Generated Node #0,0,1: 69:[1, 9] Operation: 12-3=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[1, 4], Operations: ['27-26=1', '12/3=4']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,69 unequal: No Solution
No 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: 69:[1, 9], Operations: ['27-26=1', '12-3=9']
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
69,
4,
52,
31
] | 44
|
[
"69-4=65",
"52-31=21",
"65-21=44"
] |
Current State: 44:[69, 4, 52, 31], Operations: []
Exploring Operation: 69-4=65, Resulting Numbers: [52, 31, 65]
Generated Node #2: [52, 31, 65] from Operation: 69-4=65
Current State: 44:[52, 31, 65], Operations: ['69-4=65']
Exploring Operation: 52-31=21, Resulting Numbers: [65, 21]
Generated Node #3: [65, 21] from Operation: 52-31=21
Current State: 44:[65, 21], Operations: ['69-4=65', '52-31=21']
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
Current State: 44:[69, 4, 52, 31], Operations: []
Exploring Operation: 69-31=38, Resulting Numbers: [4, 52, 38]
Generated Node #0,0: 44:[4, 52, 38] Operation: 69-31=38
Exploring Operation: 69-52=17, Resulting Numbers: [4, 31, 17]
Generated Node #0,1: 44:[4, 31, 17] Operation: 69-52=17
Exploring Operation: 52/4=13, Resulting Numbers: [69, 31, 13]
Generated Node #0,2: 44:[69, 31, 13] Operation: 52/4=13
Exploring Operation: 52-31=21, Resulting Numbers: [69, 4, 21]
Generated Node #0,3: 44:[69, 4, 21] Operation: 52-31=21
Exploring Operation: 69-4=65, Resulting Numbers: [52, 31, 65]
Generated Node #0,4: 44:[52, 31, 65] Operation: 69-4=65
Moving to Node #0,0
Current State: 44:[4, 52, 38], Operations: ['69-31=38']
Exploring Operation: 52-38=14, Resulting Numbers: [4, 14]
Generated Node #0,0,0: 44:[4, 14] Operation: 52-38=14
Exploring Operation: 52/4=13, Resulting Numbers: [38, 13]
Generated Node #0,0,1: 44:[38, 13] Operation: 52/4=13
Exploring Operation: 4+38=42, Resulting Numbers: [52, 42]
Generated Node #0,0,2: 44:[52, 42] Operation: 4+38=42
Exploring Operation: 52-4=48, Resulting Numbers: [38, 48]
Generated Node #0,0,3: 44:[38, 48] Operation: 52-4=48
Exploring Operation: 4+52=56, Resulting Numbers: [38, 56]
Generated Node #0,0,4: 44:[38, 56] Operation: 4+52=56
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[4, 14], Operations: ['69-31=38', '52-38=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[38, 13], Operations: ['69-31=38', '52/4=13']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,44 unequal: No Solution
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 44:[52, 42], Operations: ['69-31=38', '4+38=42']
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,44 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 44:[38, 48], Operations: ['69-31=38', '52-4=48']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 38*48=1824, Resulting Numbers: [1824]
1824,44 unequal: No Solution
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 44:[38, 56], Operations: ['69-31=38', '4+52=56']
Exploring Operation: 38*56=2128, Resulting Numbers: [2128]
2128,44 unequal: No Solution
Exploring Operation: 38+56=94, Resulting Numbers: [94]
94,44 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,44 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: 44:[4, 31, 17], Operations: ['69-52=17']
Exploring Operation: 31-4=27, Resulting Numbers: [17, 27]
Generated Node #0,1,0: 44:[17, 27] Operation: 31-4=27
Exploring Operation: 31-17=14, Resulting Numbers: [4, 14]
Generated Node #0,1,1: 44:[4, 14] Operation: 31-17=14
Exploring Operation: 17-4=13, Resulting Numbers: [31, 13]
Generated Node #0,1,2: 44:[31, 13] Operation: 17-4=13
Exploring Operation: 31+17=48, Resulting Numbers: [4, 48]
Generated Node #0,1,3: 44:[4, 48] Operation: 31+17=48
Exploring Operation: 4+17=21, Resulting Numbers: [31, 21]
Generated Node #0,1,4: 44:[31, 21] Operation: 4+17=21
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[4, 14], Operations: ['69-52=17', '31-17=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 44:[4, 48], Operations: ['69-52=17', '31+17=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,44 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[69, 4, 52, 31], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [4, 31, 17]
Generated Node #0,1: 44:[4, 31, 17] Operation: 69-52=17
Moving to Node #0,1
Current State: 44:[4, 31, 17], Operations: ['69-52=17']
Exploring Operation: 31+17=48, Resulting Numbers: [4, 48]
Generated Node #0,1,3: 44:[4, 48] Operation: 31+17=48
Moving to Node #0,1,3
Current State: 44:[4, 48], Operations: ['69-52=17', '31+17=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278
|
hs_5
|
mult_heuristic
|
[
45,
63,
10,
13
] | 48
|
[
"13-10=3",
"45/3=15",
"63-15=48"
] |
Current State: 48:[45, 63, 10, 13], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [45, 63, 3]
Generated Node #2: [45, 63, 3] from Operation: 13-10=3
Current State: 48:[45, 63, 3], Operations: ['13-10=3']
Exploring Operation: 45/3=15, Resulting Numbers: [63, 15]
Generated Node #3: [63, 15] from Operation: 45/3=15
Current State: 48:[63, 15], Operations: ['13-10=3', '45/3=15']
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[45, 63, 10, 13], Operations: []
Exploring Operation: 63-45=18, Resulting Numbers: [10, 13, 18]
Generated Node #0,0: 48:[10, 13, 18] Operation: 63-45=18
Exploring Operation: 63-10=53, Resulting Numbers: [45, 13, 53]
Generated Node #0,1: 48:[45, 13, 53] Operation: 63-10=53
Exploring Operation: 63-13=50, Resulting Numbers: [45, 10, 50]
Generated Node #0,2: 48:[45, 10, 50] Operation: 63-13=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[10, 13, 18], Operations: ['63-45=18']
Exploring Operation: 13-10=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 48:[18, 3] Operation: 13-10=3
Exploring Operation: 10+13=23, Resulting Numbers: [18, 23]
Generated Node #0,0,1: 48:[18, 23] Operation: 10+13=23
Exploring Operation: 18-10=8, Resulting Numbers: [13, 8]
Generated Node #0,0,2: 48:[13, 8] Operation: 18-10=8
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[13, 8], Operations: ['63-45=18', '18-10=8']
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,48 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,48 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:[18, 3], Operations: ['63-45=18', '13-10=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,48 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 #0,0,1
Current State: 48:[18, 23], Operations: ['63-45=18', '10+13=23']
Exploring Operation: 18*23=414, Resulting Numbers: [414]
414,48 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,48 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 #0,2
Current State: 48:[45, 10, 50], Operations: ['63-13=50']
Exploring Operation: 50-45=5, Resulting Numbers: [10, 5]
Generated Node #0,2,0: 48:[10, 5] Operation: 50-45=5
Exploring Operation: 50/10=5, Resulting Numbers: [45, 5]
Generated Node #0,2,1: 48:[45, 5] Operation: 50/10=5
Exploring Operation: 45+10=55, Resulting Numbers: [50, 55]
Generated Node #0,2,2: 48:[50, 55] Operation: 45+10=55
Moving to Node #0,2,0
Current State: 48:[10, 5], Operations: ['63-13=50', '50-45=5']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[45, 5], Operations: ['63-13=50', '50/10=5']
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[50, 55], Operations: ['63-13=50', '45+10=55']
Exploring Operation: 50*55=2750, Resulting Numbers: [2750]
2750,48 unequal: No Solution
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 50+55=105, Resulting Numbers: [105]
105,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[45, 13, 53], Operations: ['63-10=53']
Exploring Operation: 45-13=32, Resulting Numbers: [53, 32]
Generated Node #0,1,0: 48:[53, 32] Operation: 45-13=32
Exploring Operation: 53-13=40, Resulting Numbers: [45, 40]
Generated Node #0,1,1: 48:[45, 40] Operation: 53-13=40
Exploring Operation: 53-45=8, Resulting Numbers: [13, 8]
Generated Node #0,1,2: 48:[13, 8] Operation: 53-45=8
Moving to Node #0,1,2
Current State: 48:[13, 8], Operations: ['63-10=53', '53-45=8']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,48 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[45, 40], Operations: ['63-10=53', '53-13=40']
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,48 unequal: No Solution
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,48 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[53, 32], Operations: ['63-10=53', '45-13=32']
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,48 unequal: No Solution
Exploring Operation: 53*32=1696, Resulting Numbers: [1696]
1696,48 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
|
[
69,
38,
10,
73
] | 94
|
[
"69-38=31",
"73-10=63",
"31+63=94"
] |
Current State: 94:[69, 38, 10, 73], Operations: []
Exploring Operation: 69-38=31, Resulting Numbers: [10, 73, 31]
Generated Node #2: [10, 73, 31] from Operation: 69-38=31
Current State: 94:[10, 73, 31], Operations: ['69-38=31']
Exploring Operation: 73-10=63, Resulting Numbers: [31, 63]
Generated Node #3: [31, 63] from Operation: 73-10=63
Current State: 94:[31, 63], Operations: ['69-38=31', '73-10=63']
Exploring Operation: 31+63=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
Current State: 94:[69, 38, 10, 73], Operations: []
Exploring Operation: 69+38=107, Resulting Numbers: [10, 73, 107]
Generated Node #0,0: 94:[10, 73, 107] Operation: 69+38=107
Exploring Operation: 73-69=4, Resulting Numbers: [38, 10, 4]
Generated Node #0,1: 94:[38, 10, 4] Operation: 73-69=4
Exploring Operation: 69-10=59, Resulting Numbers: [38, 73, 59]
Generated Node #0,2: 94:[38, 73, 59] Operation: 69-10=59
Exploring Operation: 73-38=35, Resulting Numbers: [69, 10, 35]
Generated Node #0,3: 94:[69, 10, 35] Operation: 73-38=35
Exploring Operation: 10+73=83, Resulting Numbers: [69, 38, 83]
Generated Node #0,4: 94:[69, 38, 83] Operation: 10+73=83
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[38, 10, 4], Operations: ['73-69=4']
Exploring Operation: 38-10=28, Resulting Numbers: [4, 28]
Generated Node #0,1,0: 94:[4, 28] Operation: 38-10=28
Exploring Operation: 38+4=42, Resulting Numbers: [10, 42]
Generated Node #0,1,1: 94:[10, 42] Operation: 38+4=42
Exploring Operation: 10*4=40, Resulting Numbers: [38, 40]
Generated Node #0,1,2: 94:[38, 40] Operation: 10*4=40
Exploring Operation: 10-4=6, Resulting Numbers: [38, 6]
Generated Node #0,1,3: 94:[38, 6] Operation: 10-4=6
Exploring Operation: 38+10=48, Resulting Numbers: [4, 48]
Generated Node #0,1,4: 94:[4, 48] Operation: 38+10=48
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 94:[4, 48], Operations: ['73-69=4', '38+10=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,94 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,94 unequal: No Solution
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,94 unequal: No Solution
Exploring Operation: 4*48=192, Resulting Numbers: [192]
192,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 94:[10, 42], Operations: ['73-69=4', '38+4=42']
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,94 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 94:[38, 6], Operations: ['73-69=4', '10-4=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,94 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,94 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 94:[38, 40], Operations: ['73-69=4', '10*4=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,94 unequal: No Solution
Exploring Operation: 38*40=1520, Resulting Numbers: [1520]
1520,94 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[4, 28], Operations: ['73-69=4', '38-10=28']
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,94 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[10, 73, 107], Operations: ['69+38=107']
Exploring Operation: 107-10=97, Resulting Numbers: [73, 97]
Generated Node #0,0,0: 94:[73, 97] Operation: 107-10=97
Exploring Operation: 10+107=117, Resulting Numbers: [73, 117]
Generated Node #0,0,1: 94:[73, 117] Operation: 10+107=117
Exploring Operation: 107-73=34, Resulting Numbers: [10, 34]
Generated Node #0,0,2: 94:[10, 34] Operation: 107-73=34
Exploring Operation: 10+73=83, Resulting Numbers: [107, 83]
Generated Node #0,0,3: 94:[107, 83] Operation: 10+73=83
Exploring Operation: 73-10=63, Resulting Numbers: [107, 63]
Generated Node #0,0,4: 94:[107, 63] Operation: 73-10=63
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 94:[10, 34], Operations: ['69+38=107', '107-73=34']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,94 unequal: No Solution
Exploring Operation: 10*34=340, Resulting Numbers: [340]
340,94 unequal: No Solution
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[73, 97], Operations: ['69+38=107', '107-10=97']
Exploring Operation: 73*97=7081, Resulting Numbers: [7081]
7081,94 unequal: No Solution
Exploring Operation: 97-73=24, Resulting Numbers: [24]
24,94 unequal: No Solution
Exploring Operation: 73+97=170, Resulting Numbers: [170]
170,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 94:[107, 83], Operations: ['69+38=107', '10+73=83']
Exploring Operation: 107*83=8881, Resulting Numbers: [8881]
8881,94 unequal: No Solution
Exploring Operation: 107+83=190, Resulting Numbers: [190]
190,94 unequal: No Solution
Exploring Operation: 107-83=24, Resulting Numbers: [24]
24,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 94:[107, 63], Operations: ['69+38=107', '73-10=63']
Exploring Operation: 107-63=44, Resulting Numbers: [44]
44,94 unequal: No Solution
Exploring Operation: 107+63=170, Resulting Numbers: [170]
170,94 unequal: No Solution
Exploring Operation: 107*63=6741, Resulting Numbers: [6741]
6741,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[73, 117], Operations: ['69+38=107', '10+107=117']
Exploring Operation: 73*117=8541, Resulting Numbers: [8541]
8541,94 unequal: No Solution
Exploring Operation: 73+117=190, Resulting Numbers: [190]
190,94 unequal: No Solution
Exploring Operation: 117-73=44, Resulting Numbers: [44]
44,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[38, 73, 59], Operations: ['69-10=59']
Exploring Operation: 38+59=97, Resulting Numbers: [73, 97]
Generated Node #0,2,0: 94:[73, 97] Operation: 38+59=97
Exploring Operation: 73-59=14, Resulting Numbers: [38, 14]
Generated Node #0,2,1: 94:[38, 14] Operation: 73-59=14
Exploring Operation: 59-38=21, Resulting Numbers: [73, 21]
Generated Node #0,2,2: 94:[73, 21] Operation: 59-38=21
Exploring Operation: 38+73=111, Resulting Numbers: [59, 111]
Generated Node #0,2,3: 94:[59, 111] Operation: 38+73=111
Exploring Operation: 73-38=35, Resulting Numbers: [59, 35]
Generated Node #0,2,4: 94:[59, 35] Operation: 73-38=35
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 94:[38, 14], Operations: ['69-10=59', '73-59=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,94 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,94 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 94:[73, 97], Operations: ['69-10=59', '38+59=97']
Exploring Operation: 97-73=24, Resulting Numbers: [24]
24,94 unequal: No Solution
Exploring Operation: 73+97=170, Resulting Numbers: [170]
170,94 unequal: No Solution
Exploring Operation: 73*97=7081, Resulting Numbers: [7081]
7081,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 94:[59, 35], Operations: ['69-10=59', '73-38=35']
Exploring Operation: 59*35=2065, Resulting Numbers: [2065]
2065,94 unequal: No Solution
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[69, 38, 10, 73], Operations: []
Exploring Operation: 69-10=59, Resulting Numbers: [38, 73, 59]
Generated Node #0,2: 94:[38, 73, 59] Operation: 69-10=59
Moving to Node #0,2
Current State: 94:[38, 73, 59], Operations: ['69-10=59']
Exploring Operation: 73-38=35, Resulting Numbers: [59, 35]
Generated Node #0,2,4: 94:[59, 35] Operation: 73-38=35
Moving to Node #0,2,4
Current State: 94:[59, 35], Operations: ['69-10=59', '73-38=35']
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.944444
|
hs_5
|
mult_heuristic
|
[
69,
9,
14,
89
] | 86
|
[
"9+14=23",
"69/23=3",
"89-3=86"
] |
Current State: 86:[69, 9, 14, 89], Operations: []
Exploring Operation: 9+14=23, Resulting Numbers: [69, 89, 23]
Generated Node #2: [69, 89, 23] from Operation: 9+14=23
Current State: 86:[69, 89, 23], Operations: ['9+14=23']
Exploring Operation: 69/23=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 69/23=3
Current State: 86:[89, 3], Operations: ['9+14=23', '69/23=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[69, 9, 14, 89], Operations: []
Exploring Operation: 69+14=83, Resulting Numbers: [9, 89, 83]
Generated Node #0,0: 86:[9, 89, 83] Operation: 69+14=83
Exploring Operation: 69-14=55, Resulting Numbers: [9, 89, 55]
Generated Node #0,1: 86:[9, 89, 55] Operation: 69-14=55
Exploring Operation: 69+9=78, Resulting Numbers: [14, 89, 78]
Generated Node #0,2: 86:[14, 89, 78] Operation: 69+9=78
Moving to Node #0,0
Current State: 86:[9, 89, 83], Operations: ['69+14=83']
Exploring Operation: 9+83=92, Resulting Numbers: [89, 92]
Generated Node #0,0,0: 86:[89, 92] Operation: 9+83=92
Exploring Operation: 89-9=80, Resulting Numbers: [83, 80]
Generated Node #0,0,1: 86:[83, 80] Operation: 89-9=80
Exploring Operation: 89-83=6, Resulting Numbers: [9, 6]
Generated Node #0,0,2: 86:[9, 6] Operation: 89-83=6
Moving to Node #0,1
Current State: 86:[9, 89, 55], Operations: ['69-14=55']
Exploring Operation: 89-9=80, Resulting Numbers: [55, 80]
Generated Node #0,1,0: 86:[55, 80] Operation: 89-9=80
Exploring Operation: 55-9=46, Resulting Numbers: [89, 46]
Generated Node #0,1,1: 86:[89, 46] Operation: 55-9=46
Exploring Operation: 89-55=34, Resulting Numbers: [9, 34]
Generated Node #0,1,2: 86:[9, 34] Operation: 89-55=34
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[89, 46], Operations: ['69-14=55', '55-9=46']
Exploring Operation: 89*46=4094, Resulting Numbers: [4094]
4094,86 unequal: No Solution
Exploring Operation: 89+46=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 89-46=43, Resulting Numbers: [43]
43,86 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 #0,1,2
Current State: 86:[9, 34], Operations: ['69-14=55', '89-55=34']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,86 unequal: No Solution
Exploring Operation: 9*34=306, Resulting Numbers: [306]
306,86 unequal: No Solution
Exploring Operation: 9+34=43, Resulting Numbers: [43]
43,86 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 #0,1,0
Current State: 86:[55, 80], Operations: ['69-14=55', '89-9=80']
Exploring Operation: 55*80=4400, Resulting Numbers: [4400]
4400,86 unequal: No Solution
Exploring Operation: 80-55=25, Resulting Numbers: [25]
25,86 unequal: No Solution
Exploring Operation: 55+80=135, Resulting Numbers: [135]
135,86 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: 86:[14, 89, 78], Operations: ['69+9=78']
Exploring Operation: 89-14=75, Resulting Numbers: [78, 75]
Generated Node #0,2,0: 86:[78, 75] Operation: 89-14=75
Exploring Operation: 14+78=92, Resulting Numbers: [89, 92]
Generated Node #0,2,1: 86:[89, 92] Operation: 14+78=92
Exploring Operation: 89-78=11, Resulting Numbers: [14, 11]
Generated Node #0,2,2: 86:[14, 11] Operation: 89-78=11
Moving to Node #0,0,0
Current State: 86:[89, 92], Operations: ['69+14=83', '9+83=92']
Exploring Operation: 89*92=8188, Resulting Numbers: [8188]
8188,86 unequal: No Solution
Exploring Operation: 92-89=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 89+92=181, Resulting Numbers: [181]
181,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[83, 80], Operations: ['69+14=83', '89-9=80']
Exploring Operation: 83+80=163, Resulting Numbers: [163]
163,86 unequal: No Solution
Exploring Operation: 83-80=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 83*80=6640, Resulting Numbers: [6640]
6640,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[89, 92], Operations: ['69+9=78', '14+78=92']
Exploring Operation: 89*92=8188, Resulting Numbers: [8188]
8188,86 unequal: No Solution
Exploring Operation: 92-89=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 89+92=181, Resulting Numbers: [181]
181,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[9, 6], Operations: ['69+14=83', '89-83=6']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[78, 75], Operations: ['69+9=78', '89-14=75']
Exploring Operation: 78-75=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 78*75=5850, Resulting Numbers: [5850]
5850,86 unequal: No Solution
Exploring Operation: 78+75=153, Resulting Numbers: [153]
153,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[14, 11], Operations: ['69+9=78', '89-78=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,86 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,86 unequal: No Solution
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
21,
7,
16,
26
] | 14
|
[
"21+7=28",
"16+26=42",
"42-28=14"
] |
Current State: 14:[21, 7, 16, 26], Operations: []
Exploring Operation: 21+7=28, Resulting Numbers: [16, 26, 28]
Generated Node #2: [16, 26, 28] from Operation: 21+7=28
Current State: 14:[16, 26, 28], Operations: ['21+7=28']
Exploring Operation: 16+26=42, Resulting Numbers: [28, 42]
Generated Node #3: [28, 42] from Operation: 16+26=42
Current State: 14:[28, 42], Operations: ['21+7=28', '16+26=42']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
Current State: 14:[21, 7, 16, 26], Operations: []
Exploring Operation: 26-16=10, Resulting Numbers: [21, 7, 10]
Generated Node #0,0: 14:[21, 7, 10] Operation: 26-16=10
Exploring Operation: 26-21=5, Resulting Numbers: [7, 16, 5]
Generated Node #0,1: 14:[7, 16, 5] Operation: 26-21=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[7, 16, 5], Operations: ['26-21=5']
Exploring Operation: 16-5=11, Resulting Numbers: [7, 11]
Generated Node #0,1,0: 14:[7, 11] Operation: 16-5=11
Exploring Operation: 7-5=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 14:[16, 2] Operation: 7-5=2
Moving to Node #0,1,1
Current State: 14:[16, 2], Operations: ['26-21=5', '7-5=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[21, 7, 16, 26], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [7, 16, 5]
Generated Node #0,1: 14:[7, 16, 5] Operation: 26-21=5
Moving to Node #0,1
Current State: 14:[7, 16, 5], Operations: ['26-21=5']
Exploring Operation: 7-5=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 14:[16, 2] Operation: 7-5=2
Moving to Node #0,1,1
Current State: 14:[16, 2], Operations: ['26-21=5', '7-5=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
64,
19,
5,
78
] | 89
|
[
"78-64=14",
"5*14=70",
"19+70=89"
] |
Current State: 89:[64, 19, 5, 78], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [19, 5, 14]
Generated Node #2: [19, 5, 14] from Operation: 78-64=14
Current State: 89:[19, 5, 14], Operations: ['78-64=14']
Exploring Operation: 5*14=70, Resulting Numbers: [19, 70]
Generated Node #3: [19, 70] from Operation: 5*14=70
Current State: 89:[19, 70], Operations: ['78-64=14', '5*14=70']
Exploring Operation: 19+70=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
Current State: 89:[64, 19, 5, 78], Operations: []
Exploring Operation: 19*5=95, Resulting Numbers: [64, 78, 95]
Generated Node #0,0: 89:[64, 78, 95] Operation: 19*5=95
Moving to Node #0,0
Current State: 89:[64, 78, 95], Operations: ['19*5=95']
Exploring Operation: 64+78=142, Resulting Numbers: [95, 142]
Generated Node #0,0,0: 89:[95, 142] Operation: 64+78=142
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[95, 142], Operations: ['19*5=95', '64+78=142']
Exploring Operation: 142-95=47, Resulting Numbers: [47]
47,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
45,
44,
31,
34
] | 59
|
[
"34-31=3",
"45/3=15",
"44+15=59"
] |
Current State: 59:[45, 44, 31, 34], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [45, 44, 3]
Generated Node #2: [45, 44, 3] from Operation: 34-31=3
Current State: 59:[45, 44, 3], Operations: ['34-31=3']
Exploring Operation: 45/3=15, Resulting Numbers: [44, 15]
Generated Node #3: [44, 15] from Operation: 45/3=15
Current State: 59:[44, 15], Operations: ['34-31=3', '45/3=15']
Exploring Operation: 44+15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[45, 44, 31, 34], Operations: []
Exploring Operation: 45+31=76, Resulting Numbers: [44, 34, 76]
Generated Node #0,0: 59:[44, 34, 76] Operation: 45+31=76
Exploring Operation: 45+34=79, Resulting Numbers: [44, 31, 79]
Generated Node #0,1: 59:[44, 31, 79] Operation: 45+34=79
Exploring Operation: 31+34=65, Resulting Numbers: [45, 44, 65]
Generated Node #0,2: 59:[45, 44, 65] Operation: 31+34=65
Exploring Operation: 44+34=78, Resulting Numbers: [45, 31, 78]
Generated Node #0,3: 59:[45, 31, 78] Operation: 44+34=78
Exploring Operation: 44+31=75, Resulting Numbers: [45, 34, 75]
Generated Node #0,4: 59:[45, 34, 75] Operation: 44+31=75
Moving to Node #0,2
Current State: 59:[45, 44, 65], Operations: ['31+34=65']
Exploring Operation: 65-44=21, Resulting Numbers: [45, 21]
Generated Node #0,2,0: 59:[45, 21] Operation: 65-44=21
Exploring Operation: 45+44=89, Resulting Numbers: [65, 89]
Generated Node #0,2,1: 59:[65, 89] Operation: 45+44=89
Exploring Operation: 65-45=20, Resulting Numbers: [44, 20]
Generated Node #0,2,2: 59:[44, 20] Operation: 65-45=20
Exploring Operation: 44+65=109, Resulting Numbers: [45, 109]
Generated Node #0,2,3: 59:[45, 109] Operation: 44+65=109
Exploring Operation: 45-44=1, Resulting Numbers: [65, 1]
Generated Node #0,2,4: 59:[65, 1] Operation: 45-44=1
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[65, 89], Operations: ['31+34=65', '45+44=89']
Exploring Operation: 89-65=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 65*89=5785, Resulting Numbers: [5785]
5785,59 unequal: No Solution
Exploring Operation: 65+89=154, Resulting Numbers: [154]
154,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[45, 21], Operations: ['31+34=65', '65-44=21']
Exploring Operation: 45*21=945, Resulting Numbers: [945]
945,59 unequal: No Solution
Exploring Operation: 45+21=66, Resulting Numbers: [66]
66,59 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[44, 20], Operations: ['31+34=65', '65-45=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 44*20=880, Resulting Numbers: [880]
880,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[45, 109], Operations: ['31+34=65', '44+65=109']
Exploring Operation: 45+109=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 109-45=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 45*109=4905, Resulting Numbers: [4905]
4905,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 59:[65, 1], Operations: ['31+34=65', '45-44=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,59 unequal: No Solution
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,59 unequal: No Solution
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,59 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: 59:[45, 34, 75], Operations: ['44+31=75']
Exploring Operation: 75-34=41, Resulting Numbers: [45, 41]
Generated Node #0,4,0: 59:[45, 41] Operation: 75-34=41
Exploring Operation: 75-45=30, Resulting Numbers: [34, 30]
Generated Node #0,4,1: 59:[34, 30] Operation: 75-45=30
Exploring Operation: 45+34=79, Resulting Numbers: [75, 79]
Generated Node #0,4,2: 59:[75, 79] Operation: 45+34=79
Exploring Operation: 34+75=109, Resulting Numbers: [45, 109]
Generated Node #0,4,3: 59:[45, 109] Operation: 34+75=109
Exploring Operation: 45-34=11, Resulting Numbers: [75, 11]
Generated Node #0,4,4: 59:[75, 11] Operation: 45-34=11
Moving to Node #0,0
Current State: 59:[44, 34, 76], Operations: ['45+31=76']
Exploring Operation: 44+34=78, Resulting Numbers: [76, 78]
Generated Node #0,0,0: 59:[76, 78] Operation: 44+34=78
Exploring Operation: 76-34=42, Resulting Numbers: [44, 42]
Generated Node #0,0,1: 59:[44, 42] Operation: 76-34=42
Exploring Operation: 76-44=32, Resulting Numbers: [34, 32]
Generated Node #0,0,2: 59:[34, 32] Operation: 76-44=32
Exploring Operation: 34+76=110, Resulting Numbers: [44, 110]
Generated Node #0,0,3: 59:[44, 110] Operation: 34+76=110
Exploring Operation: 44-34=10, Resulting Numbers: [76, 10]
Generated Node #0,0,4: 59:[76, 10] Operation: 44-34=10
Moving to Node #0,3
Current State: 59:[45, 31, 78], Operations: ['44+34=78']
Exploring Operation: 78-45=33, Resulting Numbers: [31, 33]
Generated Node #0,3,0: 59:[31, 33] Operation: 78-45=33
Exploring Operation: 78-31=47, Resulting Numbers: [45, 47]
Generated Node #0,3,1: 59:[45, 47] Operation: 78-31=47
Exploring Operation: 31+78=109, Resulting Numbers: [45, 109]
Generated Node #0,3,2: 59:[45, 109] Operation: 31+78=109
Exploring Operation: 45-31=14, Resulting Numbers: [78, 14]
Generated Node #0,3,3: 59:[78, 14] Operation: 45-31=14
Exploring Operation: 45+31=76, Resulting Numbers: [78, 76]
Generated Node #0,3,4: 59:[78, 76] Operation: 45+31=76
Moving to Node #0,1
Current State: 59:[44, 31, 79], Operations: ['45+34=79']
Exploring Operation: 44+31=75, Resulting Numbers: [79, 75]
Generated Node #0,1,0: 59:[79, 75] Operation: 44+31=75
Exploring Operation: 44-31=13, Resulting Numbers: [79, 13]
Generated Node #0,1,1: 59:[79, 13] Operation: 44-31=13
Exploring Operation: 79-31=48, Resulting Numbers: [44, 48]
Generated Node #0,1,2: 59:[44, 48] Operation: 79-31=48
Exploring Operation: 79-44=35, Resulting Numbers: [31, 35]
Generated Node #0,1,3: 59:[31, 35] Operation: 79-44=35
Exploring Operation: 31+79=110, Resulting Numbers: [44, 110]
Generated Node #0,1,4: 59:[44, 110] Operation: 31+79=110
Moving to Node #0,3,1
Current State: 59:[45, 47], Operations: ['44+34=78', '78-31=47']
Exploring Operation: 47-45=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 45+47=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 45*47=2115, Resulting Numbers: [2115]
2115,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[44, 48], Operations: ['45+34=79', '79-31=48']
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 44*48=2112, Resulting Numbers: [2112]
2112,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[44, 42], Operations: ['45+31=76', '76-34=42']
Exploring Operation: 44*42=1848, Resulting Numbers: [1848]
1848,59 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,59 unequal: No Solution
Moving to Node #0,4,0
Current State: 59:[45, 41], Operations: ['44+31=75', '75-34=41']
Exploring Operation: 45*41=1845, Resulting Numbers: [1845]
1845,59 unequal: No Solution
Exploring Operation: 45+41=86, Resulting Numbers: [86]
86,59 unequal: No Solution
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[76, 78], Operations: ['45+31=76', '44+34=78']
Exploring Operation: 76*78=5928, Resulting Numbers: [5928]
5928,59 unequal: No Solution
Exploring Operation: 76+78=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,3,4
Current State: 59:[78, 76], Operations: ['44+34=78', '45+31=76']
Exploring Operation: 78*76=5928, Resulting Numbers: [5928]
5928,59 unequal: No Solution
Exploring Operation: 78+76=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,4,2
Current State: 59:[75, 79], Operations: ['44+31=75', '45+34=79']
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,59 unequal: No Solution
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[79, 75], Operations: ['45+34=79', '44+31=75']
Exploring Operation: 79*75=5925, Resulting Numbers: [5925]
5925,59 unequal: No Solution
Exploring Operation: 79+75=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[31, 35], Operations: ['45+34=79', '79-44=35']
Exploring Operation: 31*35=1085, Resulting Numbers: [1085]
1085,59 unequal: No Solution
Exploring Operation: 31+35=66, Resulting Numbers: [66]
66,59 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[34, 32], Operations: ['45+31=76', '76-44=32']
Exploring Operation: 34*32=1088, Resulting Numbers: [1088]
1088,59 unequal: No Solution
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,59 unequal: No Solution
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[31, 33], Operations: ['44+34=78', '78-45=33']
Exploring Operation: 31*33=1023, Resulting Numbers: [1023]
1023,59 unequal: No Solution
Exploring Operation: 31+33=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 33-31=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,4,1
Current State: 59:[34, 30], Operations: ['44+31=75', '75-45=30']
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 34+30=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 34*30=1020, Resulting Numbers: [1020]
1020,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[78, 14], Operations: ['44+34=78', '45-31=14']
Exploring Operation: 78+14=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 78*14=1092, Resulting Numbers: [1092]
1092,59 unequal: No Solution
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Moving to Node #0,4,4
Current State: 59:[75, 11], Operations: ['44+31=75', '45-34=11']
Exploring Operation: 75*11=825, Resulting Numbers: [825]
825,59 unequal: No Solution
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 75+11=86, Resulting Numbers: [86]
86,59 unequal: No Solution
Moving to Node #0,4,3
Current State: 59:[45, 109], Operations: ['44+31=75', '34+75=109']
Exploring Operation: 109-45=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 45+109=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 45*109=4905, Resulting Numbers: [4905]
4905,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[45, 109], Operations: ['44+34=78', '31+78=109']
Exploring Operation: 45*109=4905, Resulting Numbers: [4905]
4905,59 unequal: No Solution
Exploring Operation: 45+109=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 109-45=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Moving to Node #0,0,4
Current State: 59:[76, 10], Operations: ['45+31=76', '44-34=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,59 unequal: No Solution
Exploring Operation: 76*10=760, Resulting Numbers: [760]
760,59 unequal: No Solution
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[44, 110], Operations: ['45+31=76', '34+76=110']
Exploring Operation: 44*110=4840, Resulting Numbers: [4840]
4840,59 unequal: No Solution
Exploring Operation: 44+110=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 110-44=66, Resulting Numbers: [66]
66,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[44, 110], Operations: ['45+34=79', '31+79=110']
Exploring Operation: 44+110=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 44*110=4840, Resulting Numbers: [4840]
4840,59 unequal: No Solution
Exploring Operation: 110-44=66, Resulting Numbers: [66]
66,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[79, 13], Operations: ['45+34=79', '44-31=13']
Exploring Operation: 79-13=66, Resulting Numbers: [66]
66,59 unequal: No Solution
Exploring Operation: 79*13=1027, Resulting Numbers: [1027]
1027,59 unequal: No Solution
Exploring Operation: 79+13=92, Resulting Numbers: [92]
92,59 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
90,
30,
52,
66
] | 10
|
[
"90+66=156",
"30*52=1560",
"1560/156=10"
] |
Current State: 10:[90, 30, 52, 66], Operations: []
Exploring Operation: 90+66=156, Resulting Numbers: [30, 52, 156]
Generated Node #2: [30, 52, 156] from Operation: 90+66=156
Current State: 10:[30, 52, 156], Operations: ['90+66=156']
Exploring Operation: 30*52=1560, Resulting Numbers: [156, 1560]
Generated Node #3: [156, 1560] from Operation: 30*52=1560
Current State: 10:[156, 1560], Operations: ['90+66=156', '30*52=1560']
Exploring Operation: 1560/156=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[90, 30, 52, 66], Operations: []
Exploring Operation: 90-52=38, Resulting Numbers: [30, 66, 38]
Generated Node #0,0: 10:[30, 66, 38] Operation: 90-52=38
Exploring Operation: 90/30=3, Resulting Numbers: [52, 66, 3]
Generated Node #0,1: 10:[52, 66, 3] Operation: 90/30=3
Exploring Operation: 90-66=24, Resulting Numbers: [30, 52, 24]
Generated Node #0,2: 10:[30, 52, 24] Operation: 90-66=24
Moving to Node #0,2
Current State: 10:[30, 52, 24], Operations: ['90-66=24']
Exploring Operation: 52-30=22, Resulting Numbers: [24, 22]
Generated Node #0,2,0: 10:[24, 22] Operation: 52-30=22
Exploring Operation: 30-24=6, Resulting Numbers: [52, 6]
Generated Node #0,2,1: 10:[52, 6] Operation: 30-24=6
Exploring Operation: 52-24=28, Resulting Numbers: [30, 28]
Generated Node #0,2,2: 10:[30, 28] Operation: 52-24=28
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[24, 22], Operations: ['90-66=24', '52-30=22']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,10 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 10:[30, 28], Operations: ['90-66=24', '52-24=28']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,10 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 10:[52, 6], Operations: ['90-66=24', '30-24=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,10 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,10 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 10:[52, 66, 3], Operations: ['90/30=3']
Exploring Operation: 66/3=22, Resulting Numbers: [52, 22]
Generated Node #0,1,0: 10:[52, 22] Operation: 66/3=22
Exploring Operation: 52-3=49, Resulting Numbers: [66, 49]
Generated Node #0,1,1: 10:[66, 49] Operation: 52-3=49
Exploring Operation: 66-52=14, Resulting Numbers: [3, 14]
Generated Node #0,1,2: 10:[3, 14] Operation: 66-52=14
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[3, 14], Operations: ['90/30=3', '66-52=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[52, 22], Operations: ['90/30=3', '66/3=22']
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,10 unequal: No Solution
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,10 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[66, 49], Operations: ['90/30=3', '52-3=49']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 66+49=115, Resulting Numbers: [115]
115,10 unequal: No Solution
Exploring Operation: 66*49=3234, Resulting Numbers: [3234]
3234,10 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: 10:[30, 66, 38], Operations: ['90-52=38']
Exploring Operation: 66-30=36, Resulting Numbers: [38, 36]
Generated Node #0,0,0: 10:[38, 36] Operation: 66-30=36
Exploring Operation: 38-30=8, Resulting Numbers: [66, 8]
Generated Node #0,0,1: 10:[66, 8] Operation: 38-30=8
Exploring Operation: 66-38=28, Resulting Numbers: [30, 28]
Generated Node #0,0,2: 10:[30, 28] Operation: 66-38=28
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 10:[30, 28], Operations: ['90-52=38', '66-38=28']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,10 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[38, 36], Operations: ['90-52=38', '66-30=36']
Exploring Operation: 38+36=74, Resulting Numbers: [74]
74,10 unequal: No Solution
Exploring Operation: 38*36=1368, Resulting Numbers: [1368]
1368,10 unequal: No Solution
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[66, 8], Operations: ['90-52=38', '38-30=8']
Exploring Operation: 66+8=74, Resulting Numbers: [74]
74,10 unequal: No Solution
Exploring Operation: 66-8=58, Resulting Numbers: [58]
58,10 unequal: No Solution
Exploring Operation: 66*8=528, Resulting Numbers: [528]
528,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
69,
60,
97,
50
] | 56
|
[
"69-60=9",
"97-50=47",
"9+47=56"
] |
Current State: 56:[69, 60, 97, 50], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [97, 50, 9]
Generated Node #2: [97, 50, 9] from Operation: 69-60=9
Current State: 56:[97, 50, 9], Operations: ['69-60=9']
Exploring Operation: 97-50=47, Resulting Numbers: [9, 47]
Generated Node #3: [9, 47] from Operation: 97-50=47
Current State: 56:[9, 47], Operations: ['69-60=9', '97-50=47']
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
Current State: 56:[69, 60, 97, 50], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [60, 50, 28]
Generated Node #0,0: 56:[60, 50, 28] Operation: 97-69=28
Exploring Operation: 97-50=47, Resulting Numbers: [69, 60, 47]
Generated Node #0,1: 56:[69, 60, 47] Operation: 97-50=47
Moving to Node #0,0
Current State: 56:[60, 50, 28], Operations: ['97-69=28']
Exploring Operation: 60-50=10, Resulting Numbers: [28, 10]
Generated Node #0,0,0: 56:[28, 10] Operation: 60-50=10
Exploring Operation: 60-28=32, Resulting Numbers: [50, 32]
Generated Node #0,0,1: 56:[50, 32] Operation: 60-28=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[28, 10], Operations: ['97-69=28', '60-50=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,56 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[50, 32], Operations: ['97-69=28', '60-28=32']
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,56 unequal: No Solution
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 56:[69, 60, 47], Operations: ['97-50=47']
Exploring Operation: 69-47=22, Resulting Numbers: [60, 22]
Generated Node #0,1,0: 56:[60, 22] Operation: 69-47=22
Exploring Operation: 69-60=9, Resulting Numbers: [47, 9]
Generated Node #0,1,1: 56:[47, 9] Operation: 69-60=9
Moving to Node #0,1,0
Current State: 56:[60, 22], Operations: ['97-50=47', '69-47=22']
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,56 unequal: No Solution
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[47, 9], Operations: ['97-50=47', '69-60=9']
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,56 unequal: No Solution
Exploring Operation: 47+9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[69, 60, 97, 50], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [69, 60, 47]
Generated Node #0,1: 56:[69, 60, 47] Operation: 97-50=47
Moving to Node #0,1
Current State: 56:[69, 60, 47], Operations: ['97-50=47']
Exploring Operation: 69-60=9, Resulting Numbers: [47, 9]
Generated Node #0,1,1: 56:[47, 9] Operation: 69-60=9
Moving to Node #0,1,1
Current State: 56:[47, 9], Operations: ['97-50=47', '69-60=9']
Exploring Operation: 47+9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 0.984375
|
hs_2
|
sum_heuristic
|
[
65,
99,
22,
9
] | 67
|
[
"99/9=11",
"22/11=2",
"65+2=67"
] |
Current State: 67:[65, 99, 22, 9], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [65, 22, 11]
Generated Node #2: [65, 22, 11] from Operation: 99/9=11
Current State: 67:[65, 22, 11], Operations: ['99/9=11']
Exploring Operation: 22/11=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 22/11=2
Current State: 67:[65, 2], Operations: ['99/9=11', '22/11=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[65, 99, 22, 9], Operations: []
Exploring Operation: 22+9=31, Resulting Numbers: [65, 99, 31]
Generated Node #0,0: 67:[65, 99, 31] Operation: 22+9=31
Exploring Operation: 99-22=77, Resulting Numbers: [65, 9, 77]
Generated Node #0,1: 67:[65, 9, 77] Operation: 99-22=77
Exploring Operation: 99-9=90, Resulting Numbers: [65, 22, 90]
Generated Node #0,2: 67:[65, 22, 90] Operation: 99-9=90
Exploring Operation: 65+9=74, Resulting Numbers: [99, 22, 74]
Generated Node #0,3: 67:[99, 22, 74] Operation: 65+9=74
Exploring Operation: 65-9=56, Resulting Numbers: [99, 22, 56]
Generated Node #0,4: 67:[99, 22, 56] Operation: 65-9=56
Moving to Node #0,0
Current State: 67:[65, 99, 31], Operations: ['22+9=31']
Exploring Operation: 65+31=96, Resulting Numbers: [99, 96]
Generated Node #0,0,0: 67:[99, 96] Operation: 65+31=96
Exploring Operation: 99+31=130, Resulting Numbers: [65, 130]
Generated Node #0,0,1: 67:[65, 130] Operation: 99+31=130
Exploring Operation: 99-65=34, Resulting Numbers: [31, 34]
Generated Node #0,0,2: 67:[31, 34] Operation: 99-65=34
Exploring Operation: 99-31=68, Resulting Numbers: [65, 68]
Generated Node #0,0,3: 67:[65, 68] Operation: 99-31=68
Exploring Operation: 65-31=34, Resulting Numbers: [99, 34]
Generated Node #0,0,4: 67:[99, 34] Operation: 65-31=34
Moving to Node #0,2
Current State: 67:[65, 22, 90], Operations: ['99-9=90']
Exploring Operation: 65-22=43, Resulting Numbers: [90, 43]
Generated Node #0,2,0: 67:[90, 43] Operation: 65-22=43
Exploring Operation: 22+90=112, Resulting Numbers: [65, 112]
Generated Node #0,2,1: 67:[65, 112] Operation: 22+90=112
Exploring Operation: 90-22=68, Resulting Numbers: [65, 68]
Generated Node #0,2,2: 67:[65, 68] Operation: 90-22=68
Exploring Operation: 90-65=25, Resulting Numbers: [22, 25]
Generated Node #0,2,3: 67:[22, 25] Operation: 90-65=25
Exploring Operation: 65+22=87, Resulting Numbers: [90, 87]
Generated Node #0,2,4: 67:[90, 87] Operation: 65+22=87
Moving to Node #0,1
Current State: 67:[65, 9, 77], Operations: ['99-22=77']
Exploring Operation: 65+9=74, Resulting Numbers: [77, 74]
Generated Node #0,1,0: 67:[77, 74] Operation: 65+9=74
Exploring Operation: 65-9=56, Resulting Numbers: [77, 56]
Generated Node #0,1,1: 67:[77, 56] Operation: 65-9=56
Exploring Operation: 9+77=86, Resulting Numbers: [65, 86]
Generated Node #0,1,2: 67:[65, 86] Operation: 9+77=86
Exploring Operation: 77-65=12, Resulting Numbers: [9, 12]
Generated Node #0,1,3: 67:[9, 12] Operation: 77-65=12
Exploring Operation: 77-9=68, Resulting Numbers: [65, 68]
Generated Node #0,1,4: 67:[65, 68] Operation: 77-9=68
Moving to Node #0,3
Current State: 67:[99, 22, 74], Operations: ['65+9=74']
Exploring Operation: 99-74=25, Resulting Numbers: [22, 25]
Generated Node #0,3,0: 67:[22, 25] Operation: 99-74=25
Exploring Operation: 74-22=52, Resulting Numbers: [99, 52]
Generated Node #0,3,1: 67:[99, 52] Operation: 74-22=52
Exploring Operation: 22+74=96, Resulting Numbers: [99, 96]
Generated Node #0,3,2: 67:[99, 96] Operation: 22+74=96
Exploring Operation: 99-22=77, Resulting Numbers: [74, 77]
Generated Node #0,3,3: 67:[74, 77] Operation: 99-22=77
Exploring Operation: 99+22=121, Resulting Numbers: [74, 121]
Generated Node #0,3,4: 67:[74, 121] Operation: 99+22=121
Moving to Node #0,4
Current State: 67:[99, 22, 56], Operations: ['65-9=56']
Exploring Operation: 22+56=78, Resulting Numbers: [99, 78]
Generated Node #0,4,0: 67:[99, 78] Operation: 22+56=78
Exploring Operation: 99-56=43, Resulting Numbers: [22, 43]
Generated Node #0,4,1: 67:[22, 43] Operation: 99-56=43
Exploring Operation: 99+22=121, Resulting Numbers: [56, 121]
Generated Node #0,4,2: 67:[56, 121] Operation: 99+22=121
Exploring Operation: 99-22=77, Resulting Numbers: [56, 77]
Generated Node #0,4,3: 67:[56, 77] Operation: 99-22=77
Exploring Operation: 56-22=34, Resulting Numbers: [99, 34]
Generated Node #0,4,4: 67:[99, 34] Operation: 56-22=34
Moving to Node #0,0,3
Current State: 67:[65, 68], Operations: ['22+9=31', '99-31=68']
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 65+68=133, Resulting Numbers: [133]
133,67 unequal: No Solution
Exploring Operation: 65*68=4420, Resulting Numbers: [4420]
4420,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[65, 68], Operations: ['99-9=90', '90-22=68']
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 65*68=4420, Resulting Numbers: [4420]
4420,67 unequal: No Solution
Exploring Operation: 65+68=133, Resulting Numbers: [133]
133,67 unequal: No Solution
Moving to Node #0,1,4
Current State: 67:[65, 68], Operations: ['99-22=77', '77-9=68']
Exploring Operation: 65+68=133, Resulting Numbers: [133]
133,67 unequal: No Solution
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 65*68=4420, Resulting Numbers: [4420]
4420,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[77, 74], Operations: ['99-22=77', '65+9=74']
Exploring Operation: 77-74=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 77*74=5698, Resulting Numbers: [5698]
5698,67 unequal: No Solution
Exploring Operation: 77+74=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[74, 77], Operations: ['65+9=74', '99-22=77']
Exploring Operation: 77-74=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 74+77=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Exploring Operation: 74*77=5698, Resulting Numbers: [5698]
5698,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[65, 86], Operations: ['99-22=77', '9+77=86']
Exploring Operation: 86-65=21, Resulting Numbers: [21]
21,67 unequal: No Solution
Exploring Operation: 65*86=5590, Resulting Numbers: [5590]
5590,67 unequal: No Solution
Exploring Operation: 65+86=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[77, 56], Operations: ['99-22=77', '65-9=56']
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,67 unequal: No Solution
Exploring Operation: 77+56=133, Resulting Numbers: [133]
133,67 unequal: No Solution
Exploring Operation: 77*56=4312, Resulting Numbers: [4312]
4312,67 unequal: No Solution
Moving to Node #0,4,3
Current State: 67:[56, 77], Operations: ['65-9=56', '99-22=77']
Exploring Operation: 56*77=4312, Resulting Numbers: [4312]
4312,67 unequal: No Solution
Exploring Operation: 56+77=133, Resulting Numbers: [133]
133,67 unequal: No Solution
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,67 unequal: No Solution
Moving to Node #0,2,4
Current State: 67:[90, 87], Operations: ['99-9=90', '65+22=87']
Exploring Operation: 90+87=177, Resulting Numbers: [177]
177,67 unequal: No Solution
Exploring Operation: 90*87=7830, Resulting Numbers: [7830]
7830,67 unequal: No Solution
Exploring Operation: 90-87=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Moving to Node #0,4,0
Current State: 67:[99, 78], Operations: ['65-9=56', '22+56=78']
Exploring Operation: 99-78=21, Resulting Numbers: [21]
21,67 unequal: No Solution
Exploring Operation: 99*78=7722, Resulting Numbers: [7722]
7722,67 unequal: No Solution
Exploring Operation: 99+78=177, Resulting Numbers: [177]
177,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[90, 43], Operations: ['99-9=90', '65-22=43']
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,67 unequal: No Solution
Exploring Operation: 90+43=133, Resulting Numbers: [133]
133,67 unequal: No Solution
Exploring Operation: 90*43=3870, Resulting Numbers: [3870]
3870,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[65, 112], Operations: ['99-9=90', '22+90=112']
Exploring Operation: 112-65=47, Resulting Numbers: [47]
47,67 unequal: No Solution
Exploring Operation: 65*112=7280, Resulting Numbers: [7280]
7280,67 unequal: No Solution
Exploring Operation: 65+112=177, Resulting Numbers: [177]
177,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[99, 52], Operations: ['65+9=74', '74-22=52']
Exploring Operation: 99+52=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Exploring Operation: 99*52=5148, Resulting Numbers: [5148]
5148,67 unequal: No Solution
Exploring Operation: 99-52=47, Resulting Numbers: [47]
47,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[99, 96], Operations: ['65+9=74', '22+74=96']
Exploring Operation: 99*96=9504, Resulting Numbers: [9504]
9504,67 unequal: No Solution
Exploring Operation: 99-96=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 99+96=195, Resulting Numbers: [195]
195,67 unequal: No Solution
Moving to Node #0,3,4
Current State: 67:[74, 121], Operations: ['65+9=74', '99+22=121']
Exploring Operation: 74+121=195, Resulting Numbers: [195]
195,67 unequal: No Solution
Exploring Operation: 121-74=47, Resulting Numbers: [47]
47,67 unequal: No Solution
Exploring Operation: 74*121=8954, Resulting Numbers: [8954]
8954,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[99, 96], Operations: ['22+9=31', '65+31=96']
Exploring Operation: 99+96=195, Resulting Numbers: [195]
195,67 unequal: No Solution
Exploring Operation: 99*96=9504, Resulting Numbers: [9504]
9504,67 unequal: No Solution
Exploring Operation: 99-96=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Moving to Node #0,4,2
Current State: 67:[56, 121], Operations: ['65-9=56', '99+22=121']
Exploring Operation: 56+121=177, Resulting Numbers: [177]
177,67 unequal: No Solution
Exploring Operation: 121-56=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 56*121=6776, Resulting Numbers: [6776]
6776,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[65, 130], Operations: ['22+9=31', '99+31=130']
Exploring Operation: 65+130=195, Resulting Numbers: [195]
195,67 unequal: No Solution
Exploring Operation: 65*130=8450, Resulting Numbers: [8450]
8450,67 unequal: No Solution
Exploring Operation: 130-65=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 130/65=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Moving to Node #0,4,4
Current State: 67:[99, 34], Operations: ['65-9=56', '56-22=34']
Exploring Operation: 99-34=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 99+34=133, Resulting Numbers: [133]
133,67 unequal: No Solution
Exploring Operation: 99*34=3366, Resulting Numbers: [3366]
3366,67 unequal: No Solution
Moving to Node #0,0,4
Current State: 67:[99, 34], Operations: ['22+9=31', '65-31=34']
Exploring Operation: 99*34=3366, Resulting Numbers: [3366]
3366,67 unequal: No Solution
Exploring Operation: 99+34=133, Resulting Numbers: [133]
133,67 unequal: No Solution
Exploring Operation: 99-34=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Moving to Node #0,4,1
Current State: 67:[22, 43], Operations: ['65-9=56', '99-56=43']
Exploring Operation: 22*43=946, Resulting Numbers: [946]
946,67 unequal: No Solution
Exploring Operation: 22+43=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[31, 34], Operations: ['22+9=31', '99-65=34']
Exploring Operation: 31+34=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 31*34=1054, Resulting Numbers: [1054]
1054,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[22, 25], Operations: ['65+9=74', '99-74=25']
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 22+25=47, Resulting Numbers: [47]
47,67 unequal: No Solution
Exploring Operation: 22*25=550, Resulting Numbers: [550]
550,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[22, 25], Operations: ['99-9=90', '90-65=25']
Exploring Operation: 22*25=550, Resulting Numbers: [550]
550,67 unequal: No Solution
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 22+25=47, Resulting Numbers: [47]
47,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[9, 12], Operations: ['99-22=77', '77-65=12']
Exploring Operation: 9*12=108, Resulting Numbers: [108]
108,67 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,67 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
98,
61,
71,
86
] | 22
|
[
"98-61=37",
"86-71=15",
"37-15=22"
] |
Current State: 22:[98, 61, 71, 86], Operations: []
Exploring Operation: 98-61=37, Resulting Numbers: [71, 86, 37]
Generated Node #2: [71, 86, 37] from Operation: 98-61=37
Current State: 22:[71, 86, 37], Operations: ['98-61=37']
Exploring Operation: 86-71=15, Resulting Numbers: [37, 15]
Generated Node #3: [37, 15] from Operation: 86-71=15
Current State: 22:[37, 15], Operations: ['98-61=37', '86-71=15']
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
Current State: 22:[98, 61, 71, 86], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [61, 71, 12]
Generated Node #0,0: 22:[61, 71, 12] Operation: 98-86=12
Exploring Operation: 86-71=15, Resulting Numbers: [98, 61, 15]
Generated Node #0,1: 22:[98, 61, 15] Operation: 86-71=15
Exploring Operation: 98-71=27, Resulting Numbers: [61, 86, 27]
Generated Node #0,2: 22:[61, 86, 27] Operation: 98-71=27
Moving to Node #0,0
Current State: 22:[61, 71, 12], Operations: ['98-86=12']
Exploring Operation: 61-12=49, Resulting Numbers: [71, 49]
Generated Node #0,0,0: 22:[71, 49] Operation: 61-12=49
Exploring Operation: 71-61=10, Resulting Numbers: [12, 10]
Generated Node #0,0,1: 22:[12, 10] Operation: 71-61=10
Exploring Operation: 71-12=59, Resulting Numbers: [61, 59]
Generated Node #0,0,2: 22:[61, 59] Operation: 71-12=59
Moving to Node #0,2
Current State: 22:[61, 86, 27], Operations: ['98-71=27']
Exploring Operation: 61-27=34, Resulting Numbers: [86, 34]
Generated Node #0,2,0: 22:[86, 34] Operation: 61-27=34
Exploring Operation: 86-61=25, Resulting Numbers: [27, 25]
Generated Node #0,2,1: 22:[27, 25] Operation: 86-61=25
Exploring Operation: 86-27=59, Resulting Numbers: [61, 59]
Generated Node #0,2,2: 22:[61, 59] Operation: 86-27=59
Moving to Node #0,1
Current State: 22:[98, 61, 15], Operations: ['86-71=15']
Exploring Operation: 61-15=46, Resulting Numbers: [98, 46]
Generated Node #0,1,0: 22:[98, 46] Operation: 61-15=46
Exploring Operation: 98-61=37, Resulting Numbers: [15, 37]
Generated Node #0,1,1: 22:[15, 37] Operation: 98-61=37
Exploring Operation: 98-15=83, Resulting Numbers: [61, 83]
Generated Node #0,1,2: 22:[61, 83] Operation: 98-15=83
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[15, 37], Operations: ['86-71=15', '98-61=37']
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[98, 61, 71, 86], Operations: []
Exploring Operation: 86-71=15, Resulting Numbers: [98, 61, 15]
Generated Node #0,1: 22:[98, 61, 15] Operation: 86-71=15
Moving to Node #0,1
Current State: 22:[98, 61, 15], Operations: ['86-71=15']
Exploring Operation: 98-61=37, Resulting Numbers: [15, 37]
Generated Node #0,1,1: 22:[15, 37] Operation: 98-61=37
Moving to Node #0,1,1
Current State: 22:[15, 37], Operations: ['86-71=15', '98-61=37']
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_3
|
sum_heuristic
|
[
2,
34,
19,
12
] | 30
|
[
"34-12=22",
"22/2=11",
"19+11=30"
] |
Current State: 30:[2, 34, 19, 12], Operations: []
Exploring Operation: 34-12=22, Resulting Numbers: [2, 19, 22]
Generated Node #2: [2, 19, 22] from Operation: 34-12=22
Current State: 30:[2, 19, 22], Operations: ['34-12=22']
Exploring Operation: 22/2=11, Resulting Numbers: [19, 11]
Generated Node #3: [19, 11] from Operation: 22/2=11
Current State: 30:[19, 11], Operations: ['34-12=22', '22/2=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[2, 34, 19, 12], Operations: []
Exploring Operation: 34/2=17, Resulting Numbers: [19, 12, 17]
Generated Node #0,0: 30:[19, 12, 17] Operation: 34/2=17
Exploring Operation: 34-2=32, Resulting Numbers: [19, 12, 32]
Generated Node #0,1: 30:[19, 12, 32] Operation: 34-2=32
Exploring Operation: 34-19=15, Resulting Numbers: [2, 12, 15]
Generated Node #0,2: 30:[2, 12, 15] Operation: 34-19=15
Exploring Operation: 19-12=7, Resulting Numbers: [2, 34, 7]
Generated Node #0,3: 30:[2, 34, 7] Operation: 19-12=7
Exploring Operation: 19+12=31, Resulting Numbers: [2, 34, 31]
Generated Node #0,4: 30:[2, 34, 31] Operation: 19+12=31
Moving to Node #0,2
Current State: 30:[2, 12, 15], Operations: ['34-19=15']
Exploring Operation: 15-12=3, Resulting Numbers: [2, 3]
Generated Node #0,2,0: 30:[2, 3] Operation: 15-12=3
Exploring Operation: 12-2=10, Resulting Numbers: [15, 10]
Generated Node #0,2,1: 30:[15, 10] Operation: 12-2=10
Exploring Operation: 12/2=6, Resulting Numbers: [15, 6]
Generated Node #0,2,2: 30:[15, 6] Operation: 12/2=6
Exploring Operation: 2+12=14, Resulting Numbers: [15, 14]
Generated Node #0,2,3: 30:[15, 14] Operation: 2+12=14
Exploring Operation: 2*15=30, Resulting Numbers: [12, 30]
Generated Node #0,2,4: 30:[12, 30] Operation: 2*15=30
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 30:[2, 3], Operations: ['34-19=15', '15-12=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 30:[15, 10], Operations: ['34-19=15', '12-2=10']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 30:[15, 6], Operations: ['34-19=15', '12/2=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 30:[15, 14], Operations: ['34-19=15', '2+12=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,30 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 30:[12, 30], Operations: ['34-19=15', '2*15=30']
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 12*30=360, Resulting Numbers: [360]
360,30 unequal: No Solution
Exploring Operation: 12+30=42, Resulting Numbers: [42]
42,30 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: 30:[2, 34, 31], Operations: ['19+12=31']
Exploring Operation: 34/2=17, Resulting Numbers: [31, 17]
Generated Node #0,4,0: 30:[31, 17] Operation: 34/2=17
Exploring Operation: 34-2=32, Resulting Numbers: [31, 32]
Generated Node #0,4,1: 30:[31, 32] Operation: 34-2=32
Exploring Operation: 34-31=3, Resulting Numbers: [2, 3]
Generated Node #0,4,2: 30:[2, 3] Operation: 34-31=3
Exploring Operation: 2+34=36, Resulting Numbers: [31, 36]
Generated Node #0,4,3: 30:[31, 36] Operation: 2+34=36
Exploring Operation: 31-2=29, Resulting Numbers: [34, 29]
Generated Node #0,4,4: 30:[34, 29] Operation: 31-2=29
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 30:[2, 3], Operations: ['19+12=31', '34-31=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 30:[31, 17], Operations: ['19+12=31', '34/2=17']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Exploring Operation: 31+17=48, Resulting Numbers: [48]
48,30 unequal: No Solution
Exploring Operation: 31*17=527, Resulting Numbers: [527]
527,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 30:[31, 32], Operations: ['19+12=31', '34-2=32']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,30 unequal: No Solution
Exploring Operation: 31*32=992, Resulting Numbers: [992]
992,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 30:[34, 29], Operations: ['19+12=31', '31-2=29']
Exploring Operation: 34*29=986, Resulting Numbers: [986]
986,30 unequal: No Solution
Exploring Operation: 34-29=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 34+29=63, Resulting Numbers: [63]
63,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 30:[31, 36], Operations: ['19+12=31', '2+34=36']
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,30 unequal: No Solution
Exploring Operation: 31*36=1116, Resulting Numbers: [1116]
1116,30 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,30 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: 30:[2, 34, 7], Operations: ['19-12=7']
Exploring Operation: 34/2=17, Resulting Numbers: [7, 17]
Generated Node #0,3,0: 30:[7, 17] Operation: 34/2=17
Exploring Operation: 2+7=9, Resulting Numbers: [34, 9]
Generated Node #0,3,1: 30:[34, 9] Operation: 2+7=9
Exploring Operation: 34-2=32, Resulting Numbers: [7, 32]
Generated Node #0,3,2: 30:[7, 32] Operation: 34-2=32
Exploring Operation: 7-2=5, Resulting Numbers: [34, 5]
Generated Node #0,3,3: 30:[34, 5] Operation: 7-2=5
Exploring Operation: 34-7=27, Resulting Numbers: [2, 27]
Generated Node #0,3,4: 30:[2, 27] Operation: 34-7=27
Moving to Node #0,0
Current State: 30:[19, 12, 17], Operations: ['34/2=17']
Exploring Operation: 19-12=7, Resulting Numbers: [17, 7]
Generated Node #0,0,0: 30:[17, 7] Operation: 19-12=7
Exploring Operation: 12+17=29, Resulting Numbers: [19, 29]
Generated Node #0,0,1: 30:[19, 29] Operation: 12+17=29
Exploring Operation: 17-12=5, Resulting Numbers: [19, 5]
Generated Node #0,0,2: 30:[19, 5] Operation: 17-12=5
Exploring Operation: 19+12=31, Resulting Numbers: [17, 31]
Generated Node #0,0,3: 30:[17, 31] Operation: 19+12=31
Exploring Operation: 19-17=2, Resulting Numbers: [12, 2]
Generated Node #0,0,4: 30:[12, 2] Operation: 19-17=2
Moving to Node #0,1
Current State: 30:[19, 12, 32], Operations: ['34-2=32']
Exploring Operation: 32-19=13, Resulting Numbers: [12, 13]
Generated Node #0,1,0: 30:[12, 13] Operation: 32-19=13
Exploring Operation: 12+32=44, Resulting Numbers: [19, 44]
Generated Node #0,1,1: 30:[19, 44] Operation: 12+32=44
Exploring Operation: 19-12=7, Resulting Numbers: [32, 7]
Generated Node #0,1,2: 30:[32, 7] Operation: 19-12=7
Exploring Operation: 19+12=31, Resulting Numbers: [32, 31]
Generated Node #0,1,3: 30:[32, 31] Operation: 19+12=31
Exploring Operation: 32-12=20, Resulting Numbers: [19, 20]
Generated Node #0,1,4: 30:[19, 20] Operation: 32-12=20
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 30:[32, 7], Operations: ['34-2=32', '19-12=7']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 30:[32, 31], Operations: ['34-2=32', '19+12=31']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 32+31=63, Resulting Numbers: [63]
63,30 unequal: No Solution
Exploring Operation: 32*31=992, Resulting Numbers: [992]
992,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[12, 13], Operations: ['34-2=32', '32-19=13']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 30:[19, 20], Operations: ['34-2=32', '32-12=20']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,30 unequal: No Solution
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[19, 44], Operations: ['34-2=32', '12+32=44']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,30 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 30:[12, 2], Operations: ['34/2=17', '19-17=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Moving to Node #0,3,0
Current State: 30:[7, 17], Operations: ['19-12=7', '34/2=17']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 7*17=119, Resulting Numbers: [119]
119,30 unequal: No Solution
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[17, 7], Operations: ['34/2=17', '19-12=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,30 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Moving to Node #0,3,4
Current State: 30:[2, 27], Operations: ['19-12=7', '34-7=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,30 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[7, 32], Operations: ['19-12=7', '34-2=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,30 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Moving to Node #0,0,3
Current State: 30:[17, 31], Operations: ['34/2=17', '19+12=31']
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,30 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,30 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[19, 5], Operations: ['34/2=17', '17-12=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,30 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Moving to Node #0,3,3
Current State: 30:[34, 5], Operations: ['19-12=7', '7-2=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[19, 29], Operations: ['34/2=17', '12+17=29']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,30 unequal: No Solution
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[34, 9], Operations: ['19-12=7', '2+7=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,30 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,30 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
42,
66,
79,
93
] | 69
|
[
"93-79=14",
"42/14=3",
"66+3=69"
] |
Current State: 69:[42, 66, 79, 93], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [42, 66, 14]
Generated Node #2: [42, 66, 14] from Operation: 93-79=14
Current State: 69:[42, 66, 14], Operations: ['93-79=14']
Exploring Operation: 42/14=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 42/14=3
Current State: 69:[66, 3], Operations: ['93-79=14', '42/14=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
Current State: 69:[42, 66, 79, 93], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [42, 66, 14]
Generated Node #0,0: 69:[42, 66, 14] Operation: 93-79=14
Exploring Operation: 93-42=51, Resulting Numbers: [66, 79, 51]
Generated Node #0,1: 69:[66, 79, 51] Operation: 93-42=51
Exploring Operation: 93-66=27, Resulting Numbers: [42, 79, 27]
Generated Node #0,2: 69:[42, 79, 27] Operation: 93-66=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[42, 66, 14], Operations: ['93-79=14']
Exploring Operation: 42-14=28, Resulting Numbers: [66, 28]
Generated Node #0,0,0: 69:[66, 28] Operation: 42-14=28
Exploring Operation: 42/14=3, Resulting Numbers: [66, 3]
Generated Node #0,0,1: 69:[66, 3] Operation: 42/14=3
Exploring Operation: 66-42=24, Resulting Numbers: [14, 24]
Generated Node #0,0,2: 69:[14, 24] Operation: 66-42=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[66, 3], Operations: ['93-79=14', '42/14=3']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,69 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[42, 66, 79, 93], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [42, 66, 14]
Generated Node #0,0: 69:[42, 66, 14] Operation: 93-79=14
Moving to Node #0,0
Current State: 69:[42, 66, 14], Operations: ['93-79=14']
Exploring Operation: 42/14=3, Resulting Numbers: [66, 3]
Generated Node #0,0,1: 69:[66, 3] Operation: 42/14=3
Moving to Node #0,0,1
Current State: 69:[66, 3], Operations: ['93-79=14', '42/14=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715
|
hs_3
|
sum_heuristic
|
[
16,
23,
50,
49
] | 39
|
[
"16+23=39",
"50-49=1",
"39*1=39"
] |
Current State: 39:[16, 23, 50, 49], Operations: []
Exploring Operation: 16+23=39, Resulting Numbers: [50, 49, 39]
Generated Node #2: [50, 49, 39] from Operation: 16+23=39
Current State: 39:[50, 49, 39], Operations: ['16+23=39']
Exploring Operation: 50-49=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 50-49=1
Current State: 39:[39, 1], Operations: ['16+23=39', '50-49=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
Current State: 39:[16, 23, 50, 49], Operations: []
Exploring Operation: 50-16=34, Resulting Numbers: [23, 49, 34]
Generated Node #0,0: 39:[23, 49, 34] Operation: 50-16=34
Exploring Operation: 50-49=1, Resulting Numbers: [16, 23, 1]
Generated Node #0,1: 39:[16, 23, 1] Operation: 50-49=1
Exploring Operation: 16+23=39, Resulting Numbers: [50, 49, 39]
Generated Node #0,2: 39:[50, 49, 39] Operation: 16+23=39
Exploring Operation: 23-16=7, Resulting Numbers: [50, 49, 7]
Generated Node #0,3: 39:[50, 49, 7] Operation: 23-16=7
Moving to Node #0,1
Current State: 39:[16, 23, 1], Operations: ['50-49=1']
Exploring Operation: 23-16=7, Resulting Numbers: [1, 7]
Generated Node #0,1,0: 39:[1, 7] Operation: 23-16=7
Exploring Operation: 23-1=22, Resulting Numbers: [16, 22]
Generated Node #0,1,1: 39:[16, 22] Operation: 23-1=22
Exploring Operation: 16-1=15, Resulting Numbers: [23, 15]
Generated Node #0,1,2: 39:[23, 15] Operation: 16-1=15
Exploring Operation: 16+23=39, Resulting Numbers: [1, 39]
Generated Node #0,1,3: 39:[1, 39] Operation: 16+23=39
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 39:[1, 39], Operations: ['50-49=1', '16+23=39']
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[16, 23, 50, 49], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [16, 23, 1]
Generated Node #0,1: 39:[16, 23, 1] Operation: 50-49=1
Moving to Node #0,1
Current State: 39:[16, 23, 1], Operations: ['50-49=1']
Exploring Operation: 16+23=39, Resulting Numbers: [1, 39]
Generated Node #0,1,3: 39:[1, 39] Operation: 16+23=39
Moving to Node #0,1,3
Current State: 39:[1, 39], Operations: ['50-49=1', '16+23=39']
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_4
|
sum_heuristic
|
[
59,
47,
84,
68
] | 46
|
[
"59+47=106",
"84+68=152",
"152-106=46"
] |
Current State: 46:[59, 47, 84, 68], Operations: []
Exploring Operation: 59+47=106, Resulting Numbers: [84, 68, 106]
Generated Node #2: [84, 68, 106] from Operation: 59+47=106
Current State: 46:[84, 68, 106], Operations: ['59+47=106']
Exploring Operation: 84+68=152, Resulting Numbers: [106, 152]
Generated Node #3: [106, 152] from Operation: 84+68=152
Current State: 46:[106, 152], Operations: ['59+47=106', '84+68=152']
Exploring Operation: 152-106=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[59, 47, 84, 68], Operations: []
Exploring Operation: 84-68=16, Resulting Numbers: [59, 47, 16]
Generated Node #0,0: 46:[59, 47, 16] Operation: 84-68=16
Moving to Node #0,0
Current State: 46:[59, 47, 16], Operations: ['84-68=16']
Exploring Operation: 59-16=43, Resulting Numbers: [47, 43]
Generated Node #0,0,0: 46:[47, 43] Operation: 59-16=43
Moving to Node #0,0,0
Current State: 46:[47, 43], Operations: ['84-68=16', '59-16=43']
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,46 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
23,
87,
91,
63
] | 82
|
[
"23+87=110",
"91-63=28",
"110-28=82"
] |
Current State: 82:[23, 87, 91, 63], Operations: []
Exploring Operation: 23+87=110, Resulting Numbers: [91, 63, 110]
Generated Node #2: [91, 63, 110] from Operation: 23+87=110
Current State: 82:[91, 63, 110], Operations: ['23+87=110']
Exploring Operation: 91-63=28, Resulting Numbers: [110, 28]
Generated Node #3: [110, 28] from Operation: 91-63=28
Current State: 82:[110, 28], Operations: ['23+87=110', '91-63=28']
Exploring Operation: 110-28=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[23, 87, 91, 63], Operations: []
Exploring Operation: 23+63=86, Resulting Numbers: [87, 91, 86]
Generated Node #0,0: 82:[87, 91, 86] Operation: 23+63=86
Exploring Operation: 63-23=40, Resulting Numbers: [87, 91, 40]
Generated Node #0,1: 82:[87, 91, 40] Operation: 63-23=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[87, 91, 40], Operations: ['63-23=40']
Exploring Operation: 91-87=4, Resulting Numbers: [40, 4]
Generated Node #0,1,0: 82:[40, 4] Operation: 91-87=4
Exploring Operation: 87-40=47, Resulting Numbers: [91, 47]
Generated Node #0,1,1: 82:[91, 47] Operation: 87-40=47
Moving to Node #0,1,0
Current State: 82:[40, 4], Operations: ['63-23=40', '91-87=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,82 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[91, 47], Operations: ['63-23=40', '87-40=47']
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 91+47=138, Resulting Numbers: [138]
138,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[87, 91, 86], Operations: ['23+63=86']
Exploring Operation: 91-86=5, Resulting Numbers: [87, 5]
Generated Node #0,0,0: 82:[87, 5] Operation: 91-86=5
Exploring Operation: 91-87=4, Resulting Numbers: [86, 4]
Generated Node #0,0,1: 82:[86, 4] Operation: 91-87=4
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[86, 4], Operations: ['23+63=86', '91-87=4']
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,82 unequal: No Solution
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[23, 87, 91, 63], Operations: []
Exploring Operation: 23+63=86, Resulting Numbers: [87, 91, 86]
Generated Node #0,0: 82:[87, 91, 86] Operation: 23+63=86
Moving to Node #0,0
Current State: 82:[87, 91, 86], Operations: ['23+63=86']
Exploring Operation: 91-87=4, Resulting Numbers: [86, 4]
Generated Node #0,0,1: 82:[86, 4] Operation: 91-87=4
Moving to Node #0,0,1
Current State: 82:[86, 4], Operations: ['23+63=86', '91-87=4']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111
|
hs_2
|
sum_heuristic
|
[
6,
6,
14,
13
] | 92
|
[
"13-6=7",
"14*7=98",
"98-6=92"
] |
Current State: 92:[6, 6, 14, 13], Operations: []
Exploring Operation: 13-6=7, Resulting Numbers: [14, 7]
Generated Node #2: [14, 7] from Operation: 13-6=7
Current State: 92:[14, 7], Operations: ['13-6=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,92 equal: Goal Reached
Exploring Operation: 98-6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[6, 6, 14, 13], Operations: []
Exploring Operation: 14-13=1, Resulting Numbers: [6, 6, 1]
Generated Node #0,0: 92:[6, 6, 1] Operation: 14-13=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[6, 6, 1], Operations: ['14-13=1']
Exploring Operation: 6/6=1, Resulting Numbers: [1, 1]
Generated Node #0,0,0: 92:[1, 1] Operation: 6/6=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[1, 1], Operations: ['14-13=1', '6/6=1']
Exploring Operation: 1+1=2, Resulting Numbers: [2]
2,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
3,
21,
14,
2
] | 61
|
[
"3*14=42",
"21-2=19",
"42+19=61"
] |
Current State: 61:[3, 21, 14, 2], Operations: []
Exploring Operation: 3*14=42, Resulting Numbers: [21, 2, 42]
Generated Node #2: [21, 2, 42] from Operation: 3*14=42
Current State: 61:[21, 2, 42], Operations: ['3*14=42']
Exploring Operation: 21-2=19, Resulting Numbers: [42, 19]
Generated Node #3: [42, 19] from Operation: 21-2=19
Current State: 61:[42, 19], Operations: ['3*14=42', '21-2=19']
Exploring Operation: 42+19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
Current State: 61:[3, 21, 14, 2], Operations: []
Exploring Operation: 14*2=28, Resulting Numbers: [3, 21, 28]
Generated Node #0,0: 61:[3, 21, 28] Operation: 14*2=28
Exploring Operation: 3*21=63, Resulting Numbers: [14, 2, 63]
Generated Node #0,1: 61:[14, 2, 63] Operation: 3*21=63
Exploring Operation: 21*2=42, Resulting Numbers: [3, 14, 42]
Generated Node #0,2: 61:[3, 14, 42] Operation: 21*2=42
Exploring Operation: 3*14=42, Resulting Numbers: [21, 2, 42]
Generated Node #0,3: 61:[21, 2, 42] Operation: 3*14=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[14, 2, 63], Operations: ['3*21=63']
Exploring Operation: 14-2=12, Resulting Numbers: [63, 12]
Generated Node #0,1,0: 61:[63, 12] Operation: 14-2=12
Exploring Operation: 63-2=61, Resulting Numbers: [14, 61]
Generated Node #0,1,1: 61:[14, 61] Operation: 63-2=61
Exploring Operation: 14+2=16, Resulting Numbers: [63, 16]
Generated Node #0,1,2: 61:[63, 16] Operation: 14+2=16
Exploring Operation: 14*2=28, Resulting Numbers: [63, 28]
Generated Node #0,1,3: 61:[63, 28] Operation: 14*2=28
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 61:[63, 28], Operations: ['3*21=63', '14*2=28']
Exploring Operation: 63*28=1764, Resulting Numbers: [1764]
1764,61 unequal: No Solution
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,61 unequal: No Solution
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[14, 61], Operations: ['3*21=63', '63-2=61']
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 14+61=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 14*61=854, Resulting Numbers: [854]
854,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[63, 16], Operations: ['3*21=63', '14+2=16']
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 63*16=1008, Resulting Numbers: [1008]
1008,61 unequal: No Solution
Exploring Operation: 63+16=79, Resulting Numbers: [79]
79,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[63, 12], Operations: ['3*21=63', '14-2=12']
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,61 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[21, 2, 42], Operations: ['3*14=42']
Exploring Operation: 2+42=44, Resulting Numbers: [21, 44]
Generated Node #0,3,0: 61:[21, 44] Operation: 2+42=44
Exploring Operation: 21+2=23, Resulting Numbers: [42, 23]
Generated Node #0,3,1: 61:[42, 23] Operation: 21+2=23
Exploring Operation: 21*2=42, Resulting Numbers: [42, 42]
Generated Node #0,3,2: 61:[42, 42] Operation: 21*2=42
Exploring Operation: 21-2=19, Resulting Numbers: [42, 19]
Generated Node #0,3,3: 61:[42, 19] Operation: 21-2=19
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 61:[42, 42], Operations: ['3*14=42', '21*2=42']
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,61 unequal: No Solution
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,61 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 61:[21, 44], Operations: ['3*14=42', '2+42=44']
Exploring Operation: 21*44=924, Resulting Numbers: [924]
924,61 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,61 unequal: No Solution
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 61:[42, 23], Operations: ['3*14=42', '21+2=23']
Exploring Operation: 42*23=966, Resulting Numbers: [966]
966,61 unequal: No Solution
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,61 unequal: No Solution
Exploring Operation: 42+23=65, Resulting Numbers: [65]
65,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 61:[42, 19], Operations: ['3*14=42', '21-2=19']
Exploring Operation: 42+19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[3, 21, 14, 2], Operations: []
Exploring Operation: 3*14=42, Resulting Numbers: [21, 2, 42]
Generated Node #0,3: 61:[21, 2, 42] Operation: 3*14=42
Moving to Node #0,3
Current State: 61:[21, 2, 42], Operations: ['3*14=42']
Exploring Operation: 21-2=19, Resulting Numbers: [42, 19]
Generated Node #0,3,3: 61:[42, 19] Operation: 21-2=19
Moving to Node #0,3,3
Current State: 61:[42, 19], Operations: ['3*14=42', '21-2=19']
Exploring Operation: 42+19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146
|
hs_4
|
mult_heuristic
|
[
11,
77,
36,
67
] | 37
|
[
"77-11=66",
"36+67=103",
"103-66=37"
] |
Current State: 37:[11, 77, 36, 67], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [36, 67, 66]
Generated Node #2: [36, 67, 66] from Operation: 77-11=66
Current State: 37:[36, 67, 66], Operations: ['77-11=66']
Exploring Operation: 36+67=103, Resulting Numbers: [66, 103]
Generated Node #3: [66, 103] from Operation: 36+67=103
Current State: 37:[66, 103], Operations: ['77-11=66', '36+67=103']
Exploring Operation: 103-66=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[11, 77, 36, 67], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [36, 67, 66]
Generated Node #0,0: 37:[36, 67, 66] Operation: 77-11=66
Exploring Operation: 77-67=10, Resulting Numbers: [11, 36, 10]
Generated Node #0,1: 37:[11, 36, 10] Operation: 77-67=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[11, 36, 10], Operations: ['77-67=10']
Exploring Operation: 36+10=46, Resulting Numbers: [11, 46]
Generated Node #0,1,0: 37:[11, 46] Operation: 36+10=46
Exploring Operation: 11+10=21, Resulting Numbers: [36, 21]
Generated Node #0,1,1: 37:[36, 21] Operation: 11+10=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[36, 21], Operations: ['77-67=10', '11+10=21']
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,37 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:[11, 46], Operations: ['77-67=10', '36+10=46']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,37 unequal: No Solution
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,37 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:[36, 67, 66], Operations: ['77-11=66']
Exploring Operation: 67-36=31, Resulting Numbers: [66, 31]
Generated Node #0,0,0: 37:[66, 31] Operation: 67-36=31
Exploring Operation: 66-36=30, Resulting Numbers: [67, 30]
Generated Node #0,0,1: 37:[67, 30] Operation: 66-36=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[66, 31], Operations: ['77-11=66', '67-36=31']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,37 unequal: No Solution
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,37 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:[67, 30], Operations: ['77-11=66', '66-36=30']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[11, 77, 36, 67], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [36, 67, 66]
Generated Node #0,0: 37:[36, 67, 66] Operation: 77-11=66
Moving to Node #0,0
Current State: 37:[36, 67, 66], Operations: ['77-11=66']
Exploring Operation: 66-36=30, Resulting Numbers: [67, 30]
Generated Node #0,0,1: 37:[67, 30] Operation: 66-36=30
Moving to Node #0,0,1
Current State: 37:[67, 30], Operations: ['77-11=66', '66-36=30']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243
|
hs_2
|
sum_heuristic
|
[
36,
3,
48,
2
] | 33
|
[
"36/2=18",
"3+48=51",
"51-18=33"
] |
Current State: 33:[36, 3, 48, 2], Operations: []
Exploring Operation: 36/2=18, Resulting Numbers: [3, 48, 18]
Generated Node #2: [3, 48, 18] from Operation: 36/2=18
Current State: 33:[3, 48, 18], Operations: ['36/2=18']
Exploring Operation: 3+48=51, Resulting Numbers: [18, 51]
Generated Node #3: [18, 51] from Operation: 3+48=51
Current State: 33:[18, 51], Operations: ['36/2=18', '3+48=51']
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
Current State: 33:[36, 3, 48, 2], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [36, 2, 16]
Generated Node #0,0: 33:[36, 2, 16] Operation: 48/3=16
Exploring Operation: 48-36=12, Resulting Numbers: [3, 2, 12]
Generated Node #0,1: 33:[3, 2, 12] Operation: 48-36=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[3, 2, 12], Operations: ['48-36=12']
Exploring Operation: 12/3=4, Resulting Numbers: [2, 4]
Generated Node #0,1,0: 33:[2, 4] Operation: 12/3=4
Exploring Operation: 12-2=10, Resulting Numbers: [3, 10]
Generated Node #0,1,1: 33:[3, 10] Operation: 12-2=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[3, 10], Operations: ['48-36=12', '12-2=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[2, 4], Operations: ['48-36=12', '12/3=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[36, 2, 16], Operations: ['48/3=16']
Exploring Operation: 36-2=34, Resulting Numbers: [16, 34]
Generated Node #0,0,0: 33:[16, 34] Operation: 36-2=34
Exploring Operation: 2*16=32, Resulting Numbers: [36, 32]
Generated Node #0,0,1: 33:[36, 32] Operation: 2*16=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 33:[36, 32], Operations: ['48/3=16', '2*16=32']
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,33 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[16, 34], Operations: ['48/3=16', '36-2=34']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
55,
30,
33,
22
] | 96
|
[
"55+30=85",
"33-22=11",
"85+11=96"
] |
Current State: 96:[55, 30, 33, 22], Operations: []
Exploring Operation: 55+30=85, Resulting Numbers: [33, 22, 85]
Generated Node #2: [33, 22, 85] from Operation: 55+30=85
Current State: 96:[33, 22, 85], Operations: ['55+30=85']
Exploring Operation: 33-22=11, Resulting Numbers: [85, 11]
Generated Node #3: [85, 11] from Operation: 33-22=11
Current State: 96:[85, 11], Operations: ['55+30=85', '33-22=11']
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
Current State: 96:[55, 30, 33, 22], Operations: []
Exploring Operation: 55-30=25, Resulting Numbers: [33, 22, 25]
Generated Node #0,0: 96:[33, 22, 25] Operation: 55-30=25
Exploring Operation: 55-22=33, Resulting Numbers: [30, 33, 33]
Generated Node #0,1: 96:[30, 33, 33] Operation: 55-22=33
Exploring Operation: 55-33=22, Resulting Numbers: [30, 22, 22]
Generated Node #0,2: 96:[30, 22, 22] Operation: 55-33=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[33, 22, 25], Operations: ['55-30=25']
Exploring Operation: 33-25=8, Resulting Numbers: [22, 8]
Generated Node #0,0,0: 96:[22, 8] Operation: 33-25=8
Exploring Operation: 25-22=3, Resulting Numbers: [33, 3]
Generated Node #0,0,1: 96:[33, 3] Operation: 25-22=3
Exploring Operation: 33-22=11, Resulting Numbers: [25, 11]
Generated Node #0,0,2: 96:[25, 11] Operation: 33-22=11
Moving to Node #0,0,1
Current State: 96:[33, 3], Operations: ['55-30=25', '25-22=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[22, 8], Operations: ['55-30=25', '33-25=8']
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,96 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[25, 11], Operations: ['55-30=25', '33-22=11']
Exploring Operation: 25*11=275, Resulting Numbers: [275]
275,96 unequal: No Solution
Exploring Operation: 25+11=36, Resulting Numbers: [36]
36,96 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[30, 33, 33], Operations: ['55-22=33']
Exploring Operation: 33-30=3, Resulting Numbers: [33, 3]
Generated Node #0,1,0: 96:[33, 3] Operation: 33-30=3
Exploring Operation: 33-30=3, Resulting Numbers: [33, 3]
Generated Node #0,1,1: 96:[33, 3] Operation: 33-30=3
Exploring Operation: 33/33=1, Resulting Numbers: [30, 1]
Generated Node #0,1,2: 96:[30, 1] Operation: 33/33=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[33, 3], Operations: ['55-22=33', '33-30=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,96 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[33, 3], Operations: ['55-22=33', '33-30=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,96 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[30, 1], Operations: ['55-22=33', '33/33=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[30, 22, 22], Operations: ['55-33=22']
Exploring Operation: 30-22=8, Resulting Numbers: [22, 8]
Generated Node #0,2,0: 96:[22, 8] Operation: 30-22=8
Exploring Operation: 30-22=8, Resulting Numbers: [22, 8]
Generated Node #0,2,1: 96:[22, 8] Operation: 30-22=8
Exploring Operation: 22/22=1, Resulting Numbers: [30, 1]
Generated Node #0,2,2: 96:[30, 1] Operation: 22/22=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 96:[22, 8], Operations: ['55-33=22', '30-22=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,96 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 96:[22, 8], Operations: ['55-33=22', '30-22=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,96 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 96:[30, 1], Operations: ['55-33=22', '22/22=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
17,
56,
29,
56
] | 46
|
[
"17+56=73",
"56-29=27",
"73-27=46"
] |
Current State: 46:[17, 56, 29, 56], Operations: []
Exploring Operation: 17+56=73, Resulting Numbers: [29, 73]
Generated Node #2: [29, 73] from Operation: 17+56=73
Current State: 46:[29, 73], Operations: ['17+56=73']
Exploring Operation: 56-29=27, Resulting Numbers: [73, 27]
Generated Node #3: [73, 27] from Operation: 56-29=27
Current State: 46:[73, 27], Operations: ['17+56=73', '56-29=27']
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[17, 56, 29, 56], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [17, 56, 27]
Generated Node #0,0: 46:[17, 56, 27] Operation: 56-29=27
Exploring Operation: 56-56=0, Resulting Numbers: [17, 29, 0]
Generated Node #0,1: 46:[17, 29, 0] Operation: 56-56=0
Exploring Operation: 17+29=46, Resulting Numbers: [56, 56, 46]
Generated Node #0,2: 46:[56, 56, 46] Operation: 17+29=46
Exploring Operation: 56-29=27, Resulting Numbers: [17, 56, 27]
Generated Node #0,3: 46:[17, 56, 27] Operation: 56-29=27
Exploring Operation: 56/56=1, Resulting Numbers: [17, 29, 1]
Generated Node #0,4: 46:[17, 29, 1] Operation: 56/56=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 46:[17, 29, 1], Operations: ['56/56=1']
Exploring Operation: 17+29=46, Resulting Numbers: [1, 46]
Generated Node #0,4,0: 46:[1, 46] Operation: 17+29=46
Exploring Operation: 17*1=17, Resulting Numbers: [29, 17]
Generated Node #0,4,1: 46:[29, 17] Operation: 17*1=17
Exploring Operation: 29-17=12, Resulting Numbers: [1, 12]
Generated Node #0,4,2: 46:[1, 12] Operation: 29-17=12
Exploring Operation: 29-1=28, Resulting Numbers: [17, 28]
Generated Node #0,4,3: 46:[17, 28] Operation: 29-1=28
Exploring Operation: 17+1=18, Resulting Numbers: [29, 18]
Generated Node #0,4,4: 46:[29, 18] Operation: 17+1=18
Moving to Node #0,4,0
Current State: 46:[1, 46], Operations: ['56/56=1', '17+29=46']
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[17, 56, 29, 56], Operations: []
Exploring Operation: 56/56=1, Resulting Numbers: [17, 29, 1]
Generated Node #0,4: 46:[17, 29, 1] Operation: 56/56=1
Moving to Node #0,4
Current State: 46:[17, 29, 1], Operations: ['56/56=1']
Exploring Operation: 17+29=46, Resulting Numbers: [1, 46]
Generated Node #0,4,0: 46:[1, 46] Operation: 17+29=46
Moving to Node #0,4,0
Current State: 46:[1, 46], Operations: ['56/56=1', '17+29=46']
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_5
|
sum_heuristic
|
[
2,
32,
71,
10
] | 82
|
[
"32-10=22",
"22/2=11",
"71+11=82"
] |
Current State: 82:[2, 32, 71, 10], Operations: []
Exploring Operation: 32-10=22, Resulting Numbers: [2, 71, 22]
Generated Node #2: [2, 71, 22] from Operation: 32-10=22
Current State: 82:[2, 71, 22], Operations: ['32-10=22']
Exploring Operation: 22/2=11, Resulting Numbers: [71, 11]
Generated Node #3: [71, 11] from Operation: 22/2=11
Current State: 82:[71, 11], Operations: ['32-10=22', '22/2=11']
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[2, 32, 71, 10], Operations: []
Exploring Operation: 71+10=81, Resulting Numbers: [2, 32, 81]
Generated Node #0,0: 82:[2, 32, 81] Operation: 71+10=81
Exploring Operation: 71-32=39, Resulting Numbers: [2, 10, 39]
Generated Node #0,1: 82:[2, 10, 39] Operation: 71-32=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[2, 32, 81], Operations: ['71+10=81']
Exploring Operation: 2+32=34, Resulting Numbers: [81, 34]
Generated Node #0,0,0: 82:[81, 34] Operation: 2+32=34
Exploring Operation: 81-32=49, Resulting Numbers: [2, 49]
Generated Node #0,0,1: 82:[2, 49] Operation: 81-32=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[81, 34], Operations: ['71+10=81', '2+32=34']
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,82 unequal: No Solution
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,82 unequal: No Solution
No 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: 82:[2, 49], Operations: ['71+10=81', '81-32=49']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,82 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,82 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: 82:[2, 10, 39], Operations: ['71-32=39']
Exploring Operation: 10-2=8, Resulting Numbers: [39, 8]
Generated Node #0,1,0: 82:[39, 8] Operation: 10-2=8
Exploring Operation: 10/2=5, Resulting Numbers: [39, 5]
Generated Node #0,1,1: 82:[39, 5] Operation: 10/2=5
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[39, 5], Operations: ['71-32=39', '10/2=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,82 unequal: No Solution
No 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: 82:[39, 8], Operations: ['71-32=39', '10-2=8']
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,82 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
13,
55,
12,
21
] | 59
|
[
"13+55=68",
"21-12=9",
"68-9=59"
] |
Current State: 59:[13, 55, 12, 21], Operations: []
Exploring Operation: 13+55=68, Resulting Numbers: [12, 21, 68]
Generated Node #2: [12, 21, 68] from Operation: 13+55=68
Current State: 59:[12, 21, 68], Operations: ['13+55=68']
Exploring Operation: 21-12=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 21-12=9
Current State: 59:[68, 9], Operations: ['13+55=68', '21-12=9']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[13, 55, 12, 21], Operations: []
Exploring Operation: 12+21=33, Resulting Numbers: [13, 55, 33]
Generated Node #0,0: 59:[13, 55, 33] Operation: 12+21=33
Exploring Operation: 13+21=34, Resulting Numbers: [55, 12, 34]
Generated Node #0,1: 59:[55, 12, 34] Operation: 13+21=34
Exploring Operation: 13+55=68, Resulting Numbers: [12, 21, 68]
Generated Node #0,2: 59:[12, 21, 68] Operation: 13+55=68
Exploring Operation: 13+12=25, Resulting Numbers: [55, 21, 25]
Generated Node #0,3: 59:[55, 21, 25] Operation: 13+12=25
Exploring Operation: 55+12=67, Resulting Numbers: [13, 21, 67]
Generated Node #0,4: 59:[13, 21, 67] Operation: 55+12=67
Moving to Node #0,0
Current State: 59:[13, 55, 33], Operations: ['12+21=33']
Exploring Operation: 55+33=88, Resulting Numbers: [13, 88]
Generated Node #0,0,0: 59:[13, 88] Operation: 55+33=88
Exploring Operation: 33-13=20, Resulting Numbers: [55, 20]
Generated Node #0,0,1: 59:[55, 20] Operation: 33-13=20
Exploring Operation: 13+55=68, Resulting Numbers: [33, 68]
Generated Node #0,0,2: 59:[33, 68] Operation: 13+55=68
Exploring Operation: 55-13=42, Resulting Numbers: [33, 42]
Generated Node #0,0,3: 59:[33, 42] Operation: 55-13=42
Exploring Operation: 13+33=46, Resulting Numbers: [55, 46]
Generated Node #0,0,4: 59:[55, 46] Operation: 13+33=46
Moving to Node #0,3
Current State: 59:[55, 21, 25], Operations: ['13+12=25']
Exploring Operation: 55+21=76, Resulting Numbers: [25, 76]
Generated Node #0,3,0: 59:[25, 76] Operation: 55+21=76
Exploring Operation: 55-21=34, Resulting Numbers: [25, 34]
Generated Node #0,3,1: 59:[25, 34] Operation: 55-21=34
Exploring Operation: 21+25=46, Resulting Numbers: [55, 46]
Generated Node #0,3,2: 59:[55, 46] Operation: 21+25=46
Exploring Operation: 25-21=4, Resulting Numbers: [55, 4]
Generated Node #0,3,3: 59:[55, 4] Operation: 25-21=4
Exploring Operation: 55+25=80, Resulting Numbers: [21, 80]
Generated Node #0,3,4: 59:[21, 80] Operation: 55+25=80
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[55, 46], Operations: ['13+12=25', '21+25=46']
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,59 unequal: No Solution
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,59 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 #0,3,0
Current State: 59:[25, 76], Operations: ['13+12=25', '55+21=76']
Exploring Operation: 25*76=1900, Resulting Numbers: [1900]
1900,59 unequal: No Solution
Exploring Operation: 25+76=101, Resulting Numbers: [101]
101,59 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 #0,3,1
Current State: 59:[25, 34], Operations: ['13+12=25', '55-21=34']
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,59 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[13, 55, 12, 21], Operations: []
Exploring Operation: 13+12=25, Resulting Numbers: [55, 21, 25]
Generated Node #0,3: 59:[55, 21, 25] Operation: 13+12=25
Moving to Node #0,3
Current State: 59:[55, 21, 25], Operations: ['13+12=25']
Exploring Operation: 55-21=34, Resulting Numbers: [25, 34]
Generated Node #0,3,1: 59:[25, 34] Operation: 55-21=34
Moving to Node #0,3,1
Current State: 59:[25, 34], Operations: ['13+12=25', '55-21=34']
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694
|
hs_5
|
mult_heuristic
|
[
88,
28,
10,
44
] | 76
|
[
"88/44=2",
"28+10=38",
"2*38=76"
] |
Current State: 76:[88, 28, 10, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [28, 10, 2]
Generated Node #2: [28, 10, 2] from Operation: 88/44=2
Current State: 76:[28, 10, 2], Operations: ['88/44=2']
Exploring Operation: 28+10=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 28+10=38
Current State: 76:[2, 38], Operations: ['88/44=2', '28+10=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[88, 28, 10, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [28, 10, 2]
Generated Node #0,0: 76:[28, 10, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 76:[28, 10, 2], Operations: ['88/44=2']
Exploring Operation: 28+10=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 76:[2, 38] Operation: 28+10=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[2, 38], Operations: ['88/44=2', '28+10=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[88, 28, 10, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [28, 10, 2]
Generated Node #0,0: 76:[28, 10, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 76:[28, 10, 2], Operations: ['88/44=2']
Exploring Operation: 28+10=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 76:[2, 38] Operation: 28+10=38
Moving to Node #0,0,0
Current State: 76:[2, 38], Operations: ['88/44=2', '28+10=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
14,
36,
75,
36
] | 62
|
[
"75-14=61",
"36/36=1",
"61+1=62"
] |
Current State: 62:[14, 36, 75, 36], Operations: []
Exploring Operation: 75-14=61, Resulting Numbers: [36, 36, 61]
Generated Node #2: [36, 36, 61] from Operation: 75-14=61
Current State: 62:[36, 36, 61], Operations: ['75-14=61']
Exploring Operation: 36/36=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 36/36=1
Current State: 62:[61, 1], Operations: ['75-14=61', '36/36=1']
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[14, 36, 75, 36], Operations: []
Exploring Operation: 75-36=39, Resulting Numbers: [14, 36, 39]
Generated Node #0,0: 62:[14, 36, 39] Operation: 75-36=39
Exploring Operation: 75-14=61, Resulting Numbers: [36, 36, 61]
Generated Node #0,1: 62:[36, 36, 61] Operation: 75-14=61
Exploring Operation: 36/36=1, Resulting Numbers: [14, 75, 1]
Generated Node #0,2: 62:[14, 75, 1] Operation: 36/36=1
Exploring Operation: 75-36=39, Resulting Numbers: [14, 36, 39]
Generated Node #0,3: 62:[14, 36, 39] Operation: 75-36=39
Exploring Operation: 36-14=22, Resulting Numbers: [75, 36, 22]
Generated Node #0,4: 62:[75, 36, 22] Operation: 36-14=22
Moving to Node #0,1
Current State: 62:[36, 36, 61], Operations: ['75-14=61']
Exploring Operation: 61-36=25, Resulting Numbers: [36, 25]
Generated Node #0,1,0: 62:[36, 25] Operation: 61-36=25
Exploring Operation: 36+36=72, Resulting Numbers: [61, 72]
Generated Node #0,1,1: 62:[61, 72] Operation: 36+36=72
Exploring Operation: 61-36=25, Resulting Numbers: [36, 25]
Generated Node #0,1,2: 62:[36, 25] Operation: 61-36=25
Exploring Operation: 36/36=1, Resulting Numbers: [61, 1]
Generated Node #0,1,3: 62:[61, 1] Operation: 36/36=1
Exploring Operation: 36-36=0, Resulting Numbers: [61, 0]
Generated Node #0,1,4: 62:[61, 0] Operation: 36-36=0
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 62:[61, 1], Operations: ['75-14=61', '36/36=1']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,62 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[14, 36, 75, 36], Operations: []
Exploring Operation: 75-14=61, Resulting Numbers: [36, 36, 61]
Generated Node #0,1: 62:[36, 36, 61] Operation: 75-14=61
Moving to Node #0,1
Current State: 62:[36, 36, 61], Operations: ['75-14=61']
Exploring Operation: 36/36=1, Resulting Numbers: [61, 1]
Generated Node #0,1,3: 62:[61, 1] Operation: 36/36=1
Moving to Node #0,1,3
Current State: 62:[61, 1], Operations: ['75-14=61', '36/36=1']
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
mult_heuristic
|
[
30,
13,
14,
53
] | 33
|
[
"53-14=39",
"39/13=3",
"30+3=33"
] |
Current State: 33:[30, 13, 14, 53], Operations: []
Exploring Operation: 53-14=39, Resulting Numbers: [30, 13, 39]
Generated Node #2: [30, 13, 39] from Operation: 53-14=39
Current State: 33:[30, 13, 39], Operations: ['53-14=39']
Exploring Operation: 39/13=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 39/13=3
Current State: 33:[30, 3], Operations: ['53-14=39', '39/13=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
Current State: 33:[30, 13, 14, 53], Operations: []
Exploring Operation: 53-13=40, Resulting Numbers: [30, 14, 40]
Generated Node #0,0: 33:[30, 14, 40] Operation: 53-13=40
Exploring Operation: 53-14=39, Resulting Numbers: [30, 13, 39]
Generated Node #0,1: 33:[30, 13, 39] Operation: 53-14=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[30, 13, 39], Operations: ['53-14=39']
Exploring Operation: 39-30=9, Resulting Numbers: [13, 9]
Generated Node #0,1,0: 33:[13, 9] Operation: 39-30=9
Exploring Operation: 39/13=3, Resulting Numbers: [30, 3]
Generated Node #0,1,1: 33:[30, 3] Operation: 39/13=3
Moving to Node #0,1,1
Current State: 33:[30, 3], Operations: ['53-14=39', '39/13=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[30, 13, 14, 53], Operations: []
Exploring Operation: 53-14=39, Resulting Numbers: [30, 13, 39]
Generated Node #0,1: 33:[30, 13, 39] Operation: 53-14=39
Moving to Node #0,1
Current State: 33:[30, 13, 39], Operations: ['53-14=39']
Exploring Operation: 39/13=3, Resulting Numbers: [30, 3]
Generated Node #0,1,1: 33:[30, 3] Operation: 39/13=3
Moving to Node #0,1,1
Current State: 33:[30, 3], Operations: ['53-14=39', '39/13=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
13,
3,
49,
24
] | 55
|
[
"13*24=312",
"312/3=104",
"104-49=55"
] |
Current State: 55:[13, 3, 49, 24], Operations: []
Exploring Operation: 13*24=312, Resulting Numbers: [3, 49, 312]
Generated Node #2: [3, 49, 312] from Operation: 13*24=312
Current State: 55:[3, 49, 312], Operations: ['13*24=312']
Exploring Operation: 312/3=104, Resulting Numbers: [49, 104]
Generated Node #3: [49, 104] from Operation: 312/3=104
Current State: 55:[49, 104], Operations: ['13*24=312', '312/3=104']
Exploring Operation: 104-49=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
Current State: 55:[13, 3, 49, 24], Operations: []
Exploring Operation: 3+49=52, Resulting Numbers: [13, 24, 52]
Generated Node #0,0: 55:[13, 24, 52] Operation: 3+49=52
Exploring Operation: 24-3=21, Resulting Numbers: [13, 49, 21]
Generated Node #0,1: 55:[13, 49, 21] Operation: 24-3=21
Exploring Operation: 24/3=8, Resulting Numbers: [13, 49, 8]
Generated Node #0,2: 55:[13, 49, 8] Operation: 24/3=8
Exploring Operation: 24-13=11, Resulting Numbers: [3, 49, 11]
Generated Node #0,3: 55:[3, 49, 11] Operation: 24-13=11
Exploring Operation: 49-24=25, Resulting Numbers: [13, 3, 25]
Generated Node #0,4: 55:[13, 3, 25] Operation: 49-24=25
Moving to Node #0,3
Current State: 55:[3, 49, 11], Operations: ['24-13=11']
Exploring Operation: 3+11=14, Resulting Numbers: [49, 14]
Generated Node #0,3,0: 55:[49, 14] Operation: 3+11=14
Exploring Operation: 49+11=60, Resulting Numbers: [3, 60]
Generated Node #0,3,1: 55:[3, 60] Operation: 49+11=60
Exploring Operation: 11-3=8, Resulting Numbers: [49, 8]
Generated Node #0,3,2: 55:[49, 8] Operation: 11-3=8
Exploring Operation: 49-3=46, Resulting Numbers: [11, 46]
Generated Node #0,3,3: 55:[11, 46] Operation: 49-3=46
Exploring Operation: 3+49=52, Resulting Numbers: [11, 52]
Generated Node #0,3,4: 55:[11, 52] Operation: 3+49=52
Moving to Node #0,2
Current State: 55:[13, 49, 8], Operations: ['24/3=8']
Exploring Operation: 49-8=41, Resulting Numbers: [13, 41]
Generated Node #0,2,0: 55:[13, 41] Operation: 49-8=41
Exploring Operation: 13-8=5, Resulting Numbers: [49, 5]
Generated Node #0,2,1: 55:[49, 5] Operation: 13-8=5
Exploring Operation: 13+8=21, Resulting Numbers: [49, 21]
Generated Node #0,2,2: 55:[49, 21] Operation: 13+8=21
Exploring Operation: 49+8=57, Resulting Numbers: [13, 57]
Generated Node #0,2,3: 55:[13, 57] Operation: 49+8=57
Exploring Operation: 13+49=62, Resulting Numbers: [8, 62]
Generated Node #0,2,4: 55:[8, 62] Operation: 13+49=62
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 55:[13, 57], Operations: ['24/3=8', '49+8=57']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,55 unequal: No Solution
Exploring Operation: 13*57=741, Resulting Numbers: [741]
741,55 unequal: No Solution
Exploring Operation: 13+57=70, Resulting Numbers: [70]
70,55 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 #0,2,1
Current State: 55:[49, 5], Operations: ['24/3=8', '13-8=5']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,55 unequal: No Solution
Exploring Operation: 49*5=245, Resulting Numbers: [245]
245,55 unequal: No Solution
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,55 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 #0,2,4
Current State: 55:[8, 62], Operations: ['24/3=8', '13+49=62']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 8*62=496, Resulting Numbers: [496]
496,55 unequal: No Solution
Exploring Operation: 8+62=70, Resulting Numbers: [70]
70,55 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 #0,2,0
Current State: 55:[13, 41], Operations: ['24/3=8', '49-8=41']
Exploring Operation: 13+41=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,55 unequal: No Solution
Exploring Operation: 13*41=533, Resulting Numbers: [533]
533,55 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 #0,2,2
Current State: 55:[49, 21], Operations: ['24/3=8', '13+8=21']
Exploring Operation: 49*21=1029, Resulting Numbers: [1029]
1029,55 unequal: No Solution
Exploring Operation: 49+21=70, Resulting Numbers: [70]
70,55 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 55:[13, 24, 52], Operations: ['3+49=52']
Exploring Operation: 24-13=11, Resulting Numbers: [52, 11]
Generated Node #0,0,0: 55:[52, 11] Operation: 24-13=11
Exploring Operation: 52-24=28, Resulting Numbers: [13, 28]
Generated Node #0,0,1: 55:[13, 28] Operation: 52-24=28
Exploring Operation: 13+24=37, Resulting Numbers: [52, 37]
Generated Node #0,0,2: 55:[52, 37] Operation: 13+24=37
Exploring Operation: 52/13=4, Resulting Numbers: [24, 4]
Generated Node #0,0,3: 55:[24, 4] Operation: 52/13=4
Exploring Operation: 13+52=65, Resulting Numbers: [24, 65]
Generated Node #0,0,4: 55:[24, 65] Operation: 13+52=65
Moving to Node #0,1
Current State: 55:[13, 49, 21], Operations: ['24-3=21']
Exploring Operation: 49+21=70, Resulting Numbers: [13, 70]
Generated Node #0,1,0: 55:[13, 70] Operation: 49+21=70
Exploring Operation: 13+21=34, Resulting Numbers: [49, 34]
Generated Node #0,1,1: 55:[49, 34] Operation: 13+21=34
Exploring Operation: 49-21=28, Resulting Numbers: [13, 28]
Generated Node #0,1,2: 55:[13, 28] Operation: 49-21=28
Exploring Operation: 21-13=8, Resulting Numbers: [49, 8]
Generated Node #0,1,3: 55:[49, 8] Operation: 21-13=8
Exploring Operation: 13+49=62, Resulting Numbers: [21, 62]
Generated Node #0,1,4: 55:[21, 62] Operation: 13+49=62
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 55:[49, 8], Operations: ['24-3=21', '21-13=8']
Exploring Operation: 49*8=392, Resulting Numbers: [392]
392,55 unequal: No Solution
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[13, 70], Operations: ['24-3=21', '49+21=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,55 unequal: No Solution
Exploring Operation: 13*70=910, Resulting Numbers: [910]
910,55 unequal: No Solution
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,55 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 #0,1,4
Current State: 55:[21, 62], Operations: ['24-3=21', '13+49=62']
Exploring Operation: 21*62=1302, Resulting Numbers: [1302]
1302,55 unequal: No Solution
Exploring Operation: 62-21=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 21+62=83, Resulting Numbers: [83]
83,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[13, 28], Operations: ['24-3=21', '49-21=28']
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 13*28=364, Resulting Numbers: [364]
364,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[49, 34], Operations: ['24-3=21', '13+21=34']
Exploring Operation: 49*34=1666, Resulting Numbers: [1666]
1666,55 unequal: No Solution
Exploring Operation: 49+34=83, Resulting Numbers: [83]
83,55 unequal: No Solution
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,55 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: 55:[13, 3, 25], Operations: ['49-24=25']
Exploring Operation: 25-3=22, Resulting Numbers: [13, 22]
Generated Node #0,4,0: 55:[13, 22] Operation: 25-3=22
Exploring Operation: 25-13=12, Resulting Numbers: [3, 12]
Generated Node #0,4,1: 55:[3, 12] Operation: 25-13=12
Exploring Operation: 13+25=38, Resulting Numbers: [3, 38]
Generated Node #0,4,2: 55:[3, 38] Operation: 13+25=38
Exploring Operation: 13+3=16, Resulting Numbers: [25, 16]
Generated Node #0,4,3: 55:[25, 16] Operation: 13+3=16
Exploring Operation: 13-3=10, Resulting Numbers: [25, 10]
Generated Node #0,4,4: 55:[25, 10] Operation: 13-3=10
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 55:[3, 12], Operations: ['49-24=25', '25-13=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,55 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 #0,4,0
Current State: 55:[13, 22], Operations: ['49-24=25', '25-3=22']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,55 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,55 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 #0,4,4
Current State: 55:[25, 10], Operations: ['49-24=25', '13-3=10']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,55 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,55 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 #0,4,2
Current State: 55:[3, 38], Operations: ['49-24=25', '13+25=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,55 unequal: No Solution
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,55 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 #0,4,3
Current State: 55:[25, 16], Operations: ['49-24=25', '13+3=16']
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,55 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,4
Current State: 55:[11, 52], Operations: ['24-13=11', '3+49=52']
Exploring Operation: 11*52=572, Resulting Numbers: [572]
572,55 unequal: No Solution
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 11+52=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[52, 11], Operations: ['3+49=52', '24-13=11']
Exploring Operation: 52*11=572, Resulting Numbers: [572]
572,55 unequal: No Solution
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[3, 60], Operations: ['24-13=11', '49+11=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 3*60=180, Resulting Numbers: [180]
180,55 unequal: No Solution
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[49, 14], Operations: ['24-13=11', '3+11=14']
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Exploring Operation: 49+14=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Exploring Operation: 49*14=686, Resulting Numbers: [686]
686,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[11, 46], Operations: ['24-13=11', '49-3=46']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Exploring Operation: 11*46=506, Resulting Numbers: [506]
506,55 unequal: No Solution
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[49, 8], Operations: ['24-13=11', '11-3=8']
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 49*8=392, Resulting Numbers: [392]
392,55 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[24, 4], Operations: ['3+49=52', '52/13=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,55 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[13, 28], Operations: ['3+49=52', '52-24=28']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 13*28=364, Resulting Numbers: [364]
364,55 unequal: No Solution
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[52, 37], Operations: ['3+49=52', '13+24=37']
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 52*37=1924, Resulting Numbers: [1924]
1924,55 unequal: No Solution
Exploring Operation: 52+37=89, Resulting Numbers: [89]
89,55 unequal: No Solution
Moving to Node #0,0,4
Current State: 55:[24, 65], Operations: ['3+49=52', '13+52=65']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 24+65=89, Resulting Numbers: [89]
89,55 unequal: No Solution
Exploring Operation: 24*65=1560, Resulting Numbers: [1560]
1560,55 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
22,
21,
68,
93
] | 25
|
[
"22-21=1",
"93-68=25",
"1*25=25"
] |
Current State: 25:[22, 21, 68, 93], Operations: []
Exploring Operation: 22-21=1, Resulting Numbers: [68, 93, 1]
Generated Node #2: [68, 93, 1] from Operation: 22-21=1
Current State: 25:[68, 93, 1], Operations: ['22-21=1']
Exploring Operation: 93-68=25, Resulting Numbers: [1, 25]
Generated Node #3: [1, 25] from Operation: 93-68=25
Current State: 25:[1, 25], Operations: ['22-21=1', '93-68=25']
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
Current State: 25:[22, 21, 68, 93], Operations: []
Exploring Operation: 68-22=46, Resulting Numbers: [21, 93, 46]
Generated Node #0,0: 25:[21, 93, 46] Operation: 68-22=46
Exploring Operation: 93-22=71, Resulting Numbers: [21, 68, 71]
Generated Node #0,1: 25:[21, 68, 71] Operation: 93-22=71
Exploring Operation: 93-68=25, Resulting Numbers: [22, 21, 25]
Generated Node #0,2: 25:[22, 21, 25] Operation: 93-68=25
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[22, 21, 25], Operations: ['93-68=25']
Exploring Operation: 25-21=4, Resulting Numbers: [22, 4]
Generated Node #0,2,0: 25:[22, 4] Operation: 25-21=4
Exploring Operation: 22-21=1, Resulting Numbers: [25, 1]
Generated Node #0,2,1: 25:[25, 1] Operation: 22-21=1
Exploring Operation: 25-22=3, Resulting Numbers: [21, 3]
Generated Node #0,2,2: 25:[21, 3] Operation: 25-22=3
Moving to Node #0,2,0
Current State: 25:[22, 4], Operations: ['93-68=25', '25-21=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,25 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[25, 1], Operations: ['93-68=25', '22-21=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[22, 21, 68, 93], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [22, 21, 25]
Generated Node #0,2: 25:[22, 21, 25] Operation: 93-68=25
Moving to Node #0,2
Current State: 25:[22, 21, 25], Operations: ['93-68=25']
Exploring Operation: 22-21=1, Resulting Numbers: [25, 1]
Generated Node #0,2,1: 25:[25, 1] Operation: 22-21=1
Moving to Node #0,2,1
Current State: 25:[25, 1], Operations: ['93-68=25', '22-21=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_3
|
mult_heuristic
|
[
38,
11,
40,
16
] | 20
|
[
"38-16=22",
"11*40=440",
"440/22=20"
] |
Current State: 20:[38, 11, 40, 16], Operations: []
Exploring Operation: 38-16=22, Resulting Numbers: [11, 40, 22]
Generated Node #2: [11, 40, 22] from Operation: 38-16=22
Current State: 20:[11, 40, 22], Operations: ['38-16=22']
Exploring Operation: 11*40=440, Resulting Numbers: [22, 440]
Generated Node #3: [22, 440] from Operation: 11*40=440
Current State: 20:[22, 440], Operations: ['38-16=22', '11*40=440']
Exploring Operation: 440/22=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[38, 11, 40, 16], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [11, 16, 2]
Generated Node #0,0: 20:[11, 16, 2] Operation: 40-38=2
Exploring Operation: 38-16=22, Resulting Numbers: [11, 40, 22]
Generated Node #0,1: 20:[11, 40, 22] Operation: 38-16=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[11, 16, 2], Operations: ['40-38=2']
Exploring Operation: 16-11=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 20:[2, 5] Operation: 16-11=5
Exploring Operation: 16+2=18, Resulting Numbers: [11, 18]
Generated Node #0,0,1: 20:[11, 18] Operation: 16+2=18
Moving to Node #0,0,0
Current State: 20:[2, 5], Operations: ['40-38=2', '16-11=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[11, 18], Operations: ['40-38=2', '16+2=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 11+18=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 #0,1
Current State: 20:[11, 40, 22], Operations: ['38-16=22']
Exploring Operation: 40-11=29, Resulting Numbers: [22, 29]
Generated Node #0,1,0: 20:[22, 29] Operation: 40-11=29
Exploring Operation: 40-22=18, Resulting Numbers: [11, 18]
Generated Node #0,1,1: 20:[11, 18] Operation: 40-22=18
Moving to Node #0,1,1
Current State: 20:[11, 18], Operations: ['38-16=22', '40-22=18']
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[22, 29], Operations: ['38-16=22', '40-11=29']
Exploring Operation: 22+29=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,20 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
|
[
93,
59,
95,
70
] | 48
|
[
"95-93=2",
"59*2=118",
"118-70=48"
] |
Current State: 48:[93, 59, 95, 70], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [59, 70, 2]
Generated Node #2: [59, 70, 2] from Operation: 95-93=2
Current State: 48:[59, 70, 2], Operations: ['95-93=2']
Exploring Operation: 59*2=118, Resulting Numbers: [70, 118]
Generated Node #3: [70, 118] from Operation: 59*2=118
Current State: 48:[70, 118], Operations: ['95-93=2', '59*2=118']
Exploring Operation: 118-70=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[93, 59, 95, 70], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [59, 70, 2]
Generated Node #0,0: 48:[59, 70, 2] Operation: 95-93=2
Exploring Operation: 95-70=25, Resulting Numbers: [93, 59, 25]
Generated Node #0,1: 48:[93, 59, 25] Operation: 95-70=25
Moving to Node #0,0
Current State: 48:[59, 70, 2], Operations: ['95-93=2']
Exploring Operation: 70/2=35, Resulting Numbers: [59, 35]
Generated Node #0,0,0: 48:[59, 35] Operation: 70/2=35
Exploring Operation: 70-59=11, Resulting Numbers: [2, 11]
Generated Node #0,0,1: 48:[2, 11] Operation: 70-59=11
Moving to Node #0,1
Current State: 48:[93, 59, 25], Operations: ['95-70=25']
Exploring Operation: 93-59=34, Resulting Numbers: [25, 34]
Generated Node #0,1,0: 48:[25, 34] Operation: 93-59=34
Exploring Operation: 93-25=68, Resulting Numbers: [59, 68]
Generated Node #0,1,1: 48:[59, 68] Operation: 93-25=68
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[25, 34], Operations: ['95-70=25', '93-59=34']
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[59, 68], Operations: ['95-70=25', '93-25=68']
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 59+68=127, Resulting Numbers: [127]
127,48 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: 48:[2, 11], Operations: ['95-93=2', '70-59=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[59, 35], Operations: ['95-93=2', '70/2=35']
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Exploring Operation: 59-35=24, Resulting Numbers: [24]
24,48 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
96,
36,
4,
64
] | 79
|
[
"96-36=60",
"60/4=15",
"64+15=79"
] |
Current State: 79:[96, 36, 4, 64], Operations: []
Exploring Operation: 96-36=60, Resulting Numbers: [4, 64, 60]
Generated Node #2: [4, 64, 60] from Operation: 96-36=60
Current State: 79:[4, 64, 60], Operations: ['96-36=60']
Exploring Operation: 60/4=15, Resulting Numbers: [64, 15]
Generated Node #3: [64, 15] from Operation: 60/4=15
Current State: 79:[64, 15], Operations: ['96-36=60', '60/4=15']
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
Current State: 79:[96, 36, 4, 64], Operations: []
Exploring Operation: 96-4=92, Resulting Numbers: [36, 64, 92]
Generated Node #0,0: 79:[36, 64, 92] Operation: 96-4=92
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[36, 64, 92], Operations: ['96-4=92']
Exploring Operation: 36+64=100, Resulting Numbers: [92, 100]
Generated Node #0,0,0: 79:[92, 100] Operation: 36+64=100
Moving to Node #0,0,0
Current State: 79:[92, 100], Operations: ['96-4=92', '36+64=100']
Exploring Operation: 100-92=8, Resulting Numbers: [8]
8,79 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
|
[
34,
56,
2,
29
] | 53
|
[
"56-34=22",
"2+29=31",
"22+31=53"
] |
Current State: 53:[34, 56, 2, 29], Operations: []
Exploring Operation: 56-34=22, Resulting Numbers: [2, 29, 22]
Generated Node #2: [2, 29, 22] from Operation: 56-34=22
Current State: 53:[2, 29, 22], Operations: ['56-34=22']
Exploring Operation: 2+29=31, Resulting Numbers: [22, 31]
Generated Node #3: [22, 31] from Operation: 2+29=31
Current State: 53:[22, 31], Operations: ['56-34=22', '2+29=31']
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
Current State: 53:[34, 56, 2, 29], Operations: []
Exploring Operation: 2*29=58, Resulting Numbers: [34, 56, 58]
Generated Node #0,0: 53:[34, 56, 58] Operation: 2*29=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[34, 56, 58], Operations: ['2*29=58']
Exploring Operation: 58-34=24, Resulting Numbers: [56, 24]
Generated Node #0,0,0: 53:[56, 24] Operation: 58-34=24
Moving to Node #0,0,0
Current State: 53:[56, 24], Operations: ['2*29=58', '58-34=24']
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,53 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
|
[
51,
93,
6,
29
] | 17
|
[
"51*29=1479",
"93-6=87",
"1479/87=17"
] |
Current State: 17:[51, 93, 6, 29], Operations: []
Exploring Operation: 51*29=1479, Resulting Numbers: [93, 6, 1479]
Generated Node #2: [93, 6, 1479] from Operation: 51*29=1479
Current State: 17:[93, 6, 1479], Operations: ['51*29=1479']
Exploring Operation: 93-6=87, Resulting Numbers: [1479, 87]
Generated Node #3: [1479, 87] from Operation: 93-6=87
Current State: 17:[1479, 87], Operations: ['51*29=1479', '93-6=87']
Exploring Operation: 1479/87=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
Current State: 17:[51, 93, 6, 29], Operations: []
Exploring Operation: 93-6=87, Resulting Numbers: [51, 29, 87]
Generated Node #0,0: 17:[51, 29, 87] Operation: 93-6=87
Exploring Operation: 93-29=64, Resulting Numbers: [51, 6, 64]
Generated Node #0,1: 17:[51, 6, 64] Operation: 93-29=64
Exploring Operation: 51-29=22, Resulting Numbers: [93, 6, 22]
Generated Node #0,2: 17:[93, 6, 22] Operation: 51-29=22
Exploring Operation: 93-51=42, Resulting Numbers: [6, 29, 42]
Generated Node #0,3: 17:[6, 29, 42] Operation: 93-51=42
Exploring Operation: 51-6=45, Resulting Numbers: [93, 29, 45]
Generated Node #0,4: 17:[93, 29, 45] Operation: 51-6=45
Moving to Node #0,3
Current State: 17:[6, 29, 42], Operations: ['93-51=42']
Exploring Operation: 6+29=35, Resulting Numbers: [42, 35]
Generated Node #0,3,0: 17:[42, 35] Operation: 6+29=35
Exploring Operation: 42/6=7, Resulting Numbers: [29, 7]
Generated Node #0,3,1: 17:[29, 7] Operation: 42/6=7
Exploring Operation: 42-29=13, Resulting Numbers: [6, 13]
Generated Node #0,3,2: 17:[6, 13] Operation: 42-29=13
Exploring Operation: 42-6=36, Resulting Numbers: [29, 36]
Generated Node #0,3,3: 17:[29, 36] Operation: 42-6=36
Exploring Operation: 29-6=23, Resulting Numbers: [42, 23]
Generated Node #0,3,4: 17:[42, 23] Operation: 29-6=23
Moving to Node #0,2
Current State: 17:[93, 6, 22], Operations: ['51-29=22']
Exploring Operation: 93-6=87, Resulting Numbers: [22, 87]
Generated Node #0,2,0: 17:[22, 87] Operation: 93-6=87
Exploring Operation: 22-6=16, Resulting Numbers: [93, 16]
Generated Node #0,2,1: 17:[93, 16] Operation: 22-6=16
Exploring Operation: 93+6=99, Resulting Numbers: [22, 99]
Generated Node #0,2,2: 17:[22, 99] Operation: 93+6=99
Exploring Operation: 93-22=71, Resulting Numbers: [6, 71]
Generated Node #0,2,3: 17:[6, 71] Operation: 93-22=71
Exploring Operation: 6+22=28, Resulting Numbers: [93, 28]
Generated Node #0,2,4: 17:[93, 28] Operation: 6+22=28
Moving to Node #0,1
Current State: 17:[51, 6, 64], Operations: ['93-29=64']
Exploring Operation: 64-6=58, Resulting Numbers: [51, 58]
Generated Node #0,1,0: 17:[51, 58] Operation: 64-6=58
Exploring Operation: 6+64=70, Resulting Numbers: [51, 70]
Generated Node #0,1,1: 17:[51, 70] Operation: 6+64=70
Exploring Operation: 64-51=13, Resulting Numbers: [6, 13]
Generated Node #0,1,2: 17:[6, 13] Operation: 64-51=13
Exploring Operation: 51+6=57, Resulting Numbers: [64, 57]
Generated Node #0,1,3: 17:[64, 57] Operation: 51+6=57
Exploring Operation: 51-6=45, Resulting Numbers: [64, 45]
Generated Node #0,1,4: 17:[64, 45] Operation: 51-6=45
Moving to Node #0,0
Current State: 17:[51, 29, 87], Operations: ['93-6=87']
Exploring Operation: 51+29=80, Resulting Numbers: [87, 80]
Generated Node #0,0,0: 17:[87, 80] Operation: 51+29=80
Exploring Operation: 87-51=36, Resulting Numbers: [29, 36]
Generated Node #0,0,1: 17:[29, 36] Operation: 87-51=36
Exploring Operation: 51-29=22, Resulting Numbers: [87, 22]
Generated Node #0,0,2: 17:[87, 22] Operation: 51-29=22
Exploring Operation: 87-29=58, Resulting Numbers: [51, 58]
Generated Node #0,0,3: 17:[51, 58] Operation: 87-29=58
Exploring Operation: 87/29=3, Resulting Numbers: [51, 3]
Generated Node #0,0,4: 17:[51, 3] Operation: 87/29=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 17:[29, 36], Operations: ['93-6=87', '87-51=36']
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,17 unequal: No Solution
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,17 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,17 unequal: No Solution
No 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: 17:[51, 3], Operations: ['93-6=87', '87/29=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[51, 93, 6, 29], Operations: []
Exploring Operation: 93-6=87, Resulting Numbers: [51, 29, 87]
Generated Node #0,0: 17:[51, 29, 87] Operation: 93-6=87
Moving to Node #0,0
Current State: 17:[51, 29, 87], Operations: ['93-6=87']
Exploring Operation: 87/29=3, Resulting Numbers: [51, 3]
Generated Node #0,0,4: 17:[51, 3] Operation: 87/29=3
Moving to Node #0,0,4
Current State: 17:[51, 3], Operations: ['93-6=87', '87/29=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354
|
hs_5
|
mult_heuristic
|
[
22,
57,
98,
15
] | 65
|
[
"22+98=120",
"120/15=8",
"57+8=65"
] |
Current State: 65:[22, 57, 98, 15], Operations: []
Exploring Operation: 22+98=120, Resulting Numbers: [57, 15, 120]
Generated Node #2: [57, 15, 120] from Operation: 22+98=120
Current State: 65:[57, 15, 120], Operations: ['22+98=120']
Exploring Operation: 120/15=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 120/15=8
Current State: 65:[57, 8], Operations: ['22+98=120', '120/15=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[22, 57, 98, 15], Operations: []
Exploring Operation: 98-57=41, Resulting Numbers: [22, 15, 41]
Generated Node #0,0: 65:[22, 15, 41] Operation: 98-57=41
Exploring Operation: 98-22=76, Resulting Numbers: [57, 15, 76]
Generated Node #0,1: 65:[57, 15, 76] Operation: 98-22=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[57, 15, 76], Operations: ['98-22=76']
Exploring Operation: 76-15=61, Resulting Numbers: [57, 61]
Generated Node #0,1,0: 65:[57, 61] Operation: 76-15=61
Exploring Operation: 76-57=19, Resulting Numbers: [15, 19]
Generated Node #0,1,1: 65:[15, 19] Operation: 76-57=19
Moving to Node #0,1,1
Current State: 65:[15, 19], Operations: ['98-22=76', '76-57=19']
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[57, 61], Operations: ['98-22=76', '76-15=61']
Exploring Operation: 57+61=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Exploring Operation: 61-57=4, Resulting Numbers: [4]
4,65 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:[22, 15, 41], Operations: ['98-57=41']
Exploring Operation: 41-22=19, Resulting Numbers: [15, 19]
Generated Node #0,0,0: 65:[15, 19] Operation: 41-22=19
Exploring Operation: 22+41=63, Resulting Numbers: [15, 63]
Generated Node #0,0,1: 65:[15, 63] Operation: 22+41=63
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[15, 63], Operations: ['98-57=41', '22+41=63']
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,65 unequal: No Solution
Exploring Operation: 15+63=78, Resulting Numbers: [78]
78,65 unequal: No Solution
No 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: 65:[15, 19], Operations: ['98-57=41', '41-22=19']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
31,
26,
91,
13
] | 24
|
[
"26-13=13",
"91/13=7",
"31-7=24"
] |
Current State: 24:[31, 26, 91, 13], Operations: []
Exploring Operation: 26-13=13, Resulting Numbers: [31, 91, 13]
Generated Node #2: [31, 91, 13] from Operation: 26-13=13
Current State: 24:[31, 91, 13], Operations: ['26-13=13']
Exploring Operation: 91/13=7, Resulting Numbers: [31, 7]
Generated Node #3: [31, 7] from Operation: 91/13=7
Current State: 24:[31, 7], Operations: ['26-13=13', '91/13=7']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[31, 26, 91, 13], Operations: []
Exploring Operation: 91-31=60, Resulting Numbers: [26, 13, 60]
Generated Node #0,0: 24:[26, 13, 60] Operation: 91-31=60
Exploring Operation: 91-26=65, Resulting Numbers: [31, 13, 65]
Generated Node #0,1: 24:[31, 13, 65] Operation: 91-26=65
Exploring Operation: 91-13=78, Resulting Numbers: [31, 26, 78]
Generated Node #0,2: 24:[31, 26, 78] Operation: 91-13=78
Exploring Operation: 91/13=7, Resulting Numbers: [31, 26, 7]
Generated Node #0,3: 24:[31, 26, 7] Operation: 91/13=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 24:[31, 26, 7], Operations: ['91/13=7']
Exploring Operation: 31+7=38, Resulting Numbers: [26, 38]
Generated Node #0,3,0: 24:[26, 38] Operation: 31+7=38
Exploring Operation: 31-7=24, Resulting Numbers: [26, 24]
Generated Node #0,3,1: 24:[26, 24] Operation: 31-7=24
Exploring Operation: 31-26=5, Resulting Numbers: [7, 5]
Generated Node #0,3,2: 24:[7, 5] Operation: 31-26=5
Exploring Operation: 26-7=19, Resulting Numbers: [31, 19]
Generated Node #0,3,3: 24:[31, 19] Operation: 26-7=19
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 24:[26, 24], Operations: ['91/13=7', '31-7=24']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 26*24=624, Resulting Numbers: [624]
624,24 unequal: No Solution
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 24:[7, 5], Operations: ['91/13=7', '31-26=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 24:[31, 19], Operations: ['91/13=7', '26-7=19']
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,24 unequal: No Solution
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 24:[26, 38], Operations: ['91/13=7', '31+7=38']
Exploring Operation: 26+38=64, Resulting Numbers: [64]
64,24 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Exploring Operation: 26*38=988, Resulting Numbers: [988]
988,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[26, 13, 60], Operations: ['91-31=60']
Exploring Operation: 60-13=47, Resulting Numbers: [26, 47]
Generated Node #0,0,0: 24:[26, 47] Operation: 60-13=47
Exploring Operation: 26-13=13, Resulting Numbers: [60, 13]
Generated Node #0,0,1: 24:[60, 13] Operation: 26-13=13
Exploring Operation: 26/13=2, Resulting Numbers: [60, 2]
Generated Node #0,0,2: 24:[60, 2] Operation: 26/13=2
Exploring Operation: 60-26=34, Resulting Numbers: [13, 34]
Generated Node #0,0,3: 24:[13, 34] Operation: 60-26=34
Moving to Node #0,0,3
Current State: 24:[13, 34], Operations: ['91-31=60', '60-26=34']
Exploring Operation: 13*34=442, Resulting Numbers: [442]
442,24 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 13+34=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[26, 47], Operations: ['91-31=60', '60-13=47']
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 26*47=1222, Resulting Numbers: [1222]
1222,24 unequal: No Solution
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[60, 2], Operations: ['91-31=60', '26/13=2']
Exploring Operation: 60*2=120, Resulting Numbers: [120]
120,24 unequal: No Solution
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,24 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[60, 13], Operations: ['91-31=60', '26-13=13']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 60*13=780, Resulting Numbers: [780]
780,24 unequal: No Solution
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,24 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:[31, 13, 65], Operations: ['91-26=65']
Exploring Operation: 31-13=18, Resulting Numbers: [65, 18]
Generated Node #0,1,0: 24:[65, 18] Operation: 31-13=18
Exploring Operation: 65-31=34, Resulting Numbers: [13, 34]
Generated Node #0,1,1: 24:[13, 34] Operation: 65-31=34
Exploring Operation: 65-13=52, Resulting Numbers: [31, 52]
Generated Node #0,1,2: 24:[31, 52] Operation: 65-13=52
Exploring Operation: 65/13=5, Resulting Numbers: [31, 5]
Generated Node #0,1,3: 24:[31, 5] Operation: 65/13=5
Moving to Node #0,1,3
Current State: 24:[31, 5], Operations: ['91-26=65', '65/13=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,24 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[13, 34], Operations: ['91-26=65', '65-31=34']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 13+34=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 13*34=442, Resulting Numbers: [442]
442,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[31, 52], Operations: ['91-26=65', '65-13=52']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,24 unequal: No Solution
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[65, 18], Operations: ['91-26=65', '31-13=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,24 unequal: No Solution
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,24 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:[31, 26, 78], Operations: ['91-13=78']
Exploring Operation: 78-26=52, Resulting Numbers: [31, 52]
Generated Node #0,2,0: 24:[31, 52] Operation: 78-26=52
Exploring Operation: 78/26=3, Resulting Numbers: [31, 3]
Generated Node #0,2,1: 24:[31, 3] Operation: 78/26=3
Exploring Operation: 78-31=47, Resulting Numbers: [26, 47]
Generated Node #0,2,2: 24:[26, 47] Operation: 78-31=47
Exploring Operation: 31-26=5, Resulting Numbers: [78, 5]
Generated Node #0,2,3: 24:[78, 5] Operation: 31-26=5
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 24:[31, 3], Operations: ['91-13=78', '78/26=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,24 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 24:[26, 47], Operations: ['91-13=78', '78-31=47']
Exploring Operation: 26*47=1222, Resulting Numbers: [1222]
1222,24 unequal: No Solution
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,24 unequal: No Solution
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 24:[31, 52], Operations: ['91-13=78', '78-26=52']
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,24 unequal: No Solution
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 24:[78, 5], Operations: ['91-13=78', '31-26=5']
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,24 unequal: No Solution
Exploring Operation: 78*5=390, Resulting Numbers: [390]
390,24 unequal: No Solution
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
11,
90,
11,
93
] | 44
|
[
"93-90=3",
"11*3=33",
"11+33=44"
] |
Current State: 44:[11, 90, 11, 93], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [11, 11, 3]
Generated Node #2: [11, 11, 3] from Operation: 93-90=3
Current State: 44:[11, 11, 3], Operations: ['93-90=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,44 equal: Goal Reached
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
Current State: 44:[11, 90, 11, 93], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [11, 11, 3]
Generated Node #0,0: 44:[11, 11, 3] Operation: 93-90=3
Exploring Operation: 90-11=79, Resulting Numbers: [11, 93, 79]
Generated Node #0,1: 44:[11, 93, 79] Operation: 90-11=79
Exploring Operation: 93-11=82, Resulting Numbers: [90, 11, 82]
Generated Node #0,2: 44:[90, 11, 82] Operation: 93-11=82
Moving to Node #0,0
Current State: 44:[11, 11, 3], Operations: ['93-90=3']
Exploring Operation: 11-11=0, Resulting Numbers: [3, 0]
Generated Node #0,0,0: 44:[3, 0] Operation: 11-11=0
Exploring Operation: 11+11=22, Resulting Numbers: [3, 22]
Generated Node #0,0,1: 44:[3, 22] Operation: 11+11=22
Exploring Operation: 11/11=1, Resulting Numbers: [3, 1]
Generated Node #0,0,2: 44:[3, 1] Operation: 11/11=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[3, 22], Operations: ['93-90=3', '11+11=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 44:[3, 1], Operations: ['93-90=3', '11/11=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[3, 0], Operations: ['93-90=3', '11-11=0']
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,44 unequal: No Solution
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,44 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: 44:[11, 93, 79], Operations: ['90-11=79']
Exploring Operation: 93-79=14, Resulting Numbers: [11, 14]
Generated Node #0,1,0: 44:[11, 14] Operation: 93-79=14
Exploring Operation: 79-11=68, Resulting Numbers: [93, 68]
Generated Node #0,1,1: 44:[93, 68] Operation: 79-11=68
Exploring Operation: 93-11=82, Resulting Numbers: [79, 82]
Generated Node #0,1,2: 44:[79, 82] Operation: 93-11=82
Moving to Node #0,2
Current State: 44:[90, 11, 82], Operations: ['93-11=82']
Exploring Operation: 82-11=71, Resulting Numbers: [90, 71]
Generated Node #0,2,0: 44:[90, 71] Operation: 82-11=71
Exploring Operation: 90-82=8, Resulting Numbers: [11, 8]
Generated Node #0,2,1: 44:[11, 8] Operation: 90-82=8
Exploring Operation: 90-11=79, Resulting Numbers: [82, 79]
Generated Node #0,2,2: 44:[82, 79] Operation: 90-11=79
Moving to Node #0,1,0
Current State: 44:[11, 14], Operations: ['90-11=79', '93-79=14']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,44 unequal: No Solution
Moving to Node #0,2,1
Current State: 44:[11, 8], Operations: ['93-11=82', '90-82=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[79, 82], Operations: ['90-11=79', '93-11=82']
Exploring Operation: 82-79=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 79*82=6478, Resulting Numbers: [6478]
6478,44 unequal: No Solution
Exploring Operation: 79+82=161, Resulting Numbers: [161]
161,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[82, 79], Operations: ['93-11=82', '90-11=79']
Exploring Operation: 82+79=161, Resulting Numbers: [161]
161,44 unequal: No Solution
Exploring Operation: 82-79=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 82*79=6478, Resulting Numbers: [6478]
6478,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[90, 71], Operations: ['93-11=82', '82-11=71']
Exploring Operation: 90-71=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 90*71=6390, Resulting Numbers: [6390]
6390,44 unequal: No Solution
Exploring Operation: 90+71=161, Resulting Numbers: [161]
161,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[93, 68], Operations: ['90-11=79', '79-11=68']
Exploring Operation: 93+68=161, Resulting Numbers: [161]
161,44 unequal: No Solution
Exploring Operation: 93*68=6324, Resulting Numbers: [6324]
6324,44 unequal: No Solution
Exploring Operation: 93-68=25, Resulting Numbers: [25]
25,44 unequal: No Solution
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
59,
75,
20,
50
] | 26
|
[
"59-20=39",
"50*39=1950",
"1950/75=26"
] |
Current State: 26:[59, 75, 20, 50], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [75, 50, 39]
Generated Node #2: [75, 50, 39] from Operation: 59-20=39
Current State: 26:[75, 50, 39], Operations: ['59-20=39']
Exploring Operation: 50*39=1950, Resulting Numbers: [75, 1950]
Generated Node #3: [75, 1950] from Operation: 50*39=1950
Current State: 26:[75, 1950], Operations: ['59-20=39', '50*39=1950']
Exploring Operation: 1950/75=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
Current State: 26:[59, 75, 20, 50], Operations: []
Exploring Operation: 75-59=16, Resulting Numbers: [20, 50, 16]
Generated Node #0,0: 26:[20, 50, 16] Operation: 75-59=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[20, 50, 16], Operations: ['75-59=16']
Exploring Operation: 50-20=30, Resulting Numbers: [16, 30]
Generated Node #0,0,0: 26:[16, 30] Operation: 50-20=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[16, 30], Operations: ['75-59=16', '50-20=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,26 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
|
mult_heuristic
|
[
8,
72,
58,
27
] | 49
|
[
"8+72=80",
"58-27=31",
"80-31=49"
] |
Current State: 49:[8, 72, 58, 27], Operations: []
Exploring Operation: 8+72=80, Resulting Numbers: [58, 27, 80]
Generated Node #2: [58, 27, 80] from Operation: 8+72=80
Current State: 49:[58, 27, 80], Operations: ['8+72=80']
Exploring Operation: 58-27=31, Resulting Numbers: [80, 31]
Generated Node #3: [80, 31] from Operation: 58-27=31
Current State: 49:[80, 31], Operations: ['8+72=80', '58-27=31']
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[8, 72, 58, 27], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [58, 27, 9]
Generated Node #0,0: 49:[58, 27, 9] Operation: 72/8=9
Exploring Operation: 72-27=45, Resulting Numbers: [8, 58, 45]
Generated Node #0,1: 49:[8, 58, 45] Operation: 72-27=45
Exploring Operation: 72-58=14, Resulting Numbers: [8, 27, 14]
Generated Node #0,2: 49:[8, 27, 14] Operation: 72-58=14
Moving to Node #0,1
Current State: 49:[8, 58, 45], Operations: ['72-27=45']
Exploring Operation: 58-8=50, Resulting Numbers: [45, 50]
Generated Node #0,1,0: 49:[45, 50] Operation: 58-8=50
Exploring Operation: 58-45=13, Resulting Numbers: [8, 13]
Generated Node #0,1,1: 49:[8, 13] Operation: 58-45=13
Exploring Operation: 8+45=53, Resulting Numbers: [58, 53]
Generated Node #0,1,2: 49:[58, 53] Operation: 8+45=53
Moving to Node #0,2
Current State: 49:[8, 27, 14], Operations: ['72-58=14']
Exploring Operation: 27+14=41, Resulting Numbers: [8, 41]
Generated Node #0,2,0: 49:[8, 41] Operation: 27+14=41
Exploring Operation: 27-14=13, Resulting Numbers: [8, 13]
Generated Node #0,2,1: 49:[8, 13] Operation: 27-14=13
Exploring Operation: 27-8=19, Resulting Numbers: [14, 19]
Generated Node #0,2,2: 49:[14, 19] Operation: 27-8=19
Moving to Node #0,0
Current State: 49:[58, 27, 9], Operations: ['72/8=9']
Exploring Operation: 58-9=49, Resulting Numbers: [27, 49]
Generated Node #0,0,0: 49:[27, 49] Operation: 58-9=49
Exploring Operation: 27/9=3, Resulting Numbers: [58, 3]
Generated Node #0,0,1: 49:[58, 3] Operation: 27/9=3
Exploring Operation: 58-27=31, Resulting Numbers: [9, 31]
Generated Node #0,0,2: 49:[9, 31] Operation: 58-27=31
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[58, 3], Operations: ['72/8=9', '27/9=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 58*3=174, Resulting Numbers: [174]
174,49 unequal: No Solution
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[27, 49], Operations: ['72/8=9', '58-9=49']
Exploring Operation: 27+49=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 27*49=1323, Resulting Numbers: [1323]
1323,49 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[9, 31], Operations: ['72/8=9', '58-27=31']
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Exploring Operation: 9*31=279, Resulting Numbers: [279]
279,49 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: 49:[45, 50], Operations: ['72-27=45', '58-8=50']
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 45+50=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 45*50=2250, Resulting Numbers: [2250]
2250,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[8, 13], Operations: ['72-27=45', '58-45=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,49 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[8, 13], Operations: ['72-58=14', '27-14=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,49 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[8, 41], Operations: ['72-58=14', '27+14=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[8, 72, 58, 27], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [8, 27, 14]
Generated Node #0,2: 49:[8, 27, 14] Operation: 72-58=14
Moving to Node #0,2
Current State: 49:[8, 27, 14], Operations: ['72-58=14']
Exploring Operation: 27+14=41, Resulting Numbers: [8, 41]
Generated Node #0,2,0: 49:[8, 41] Operation: 27+14=41
Moving to Node #0,2,0
Current State: 49:[8, 41], Operations: ['72-58=14', '27+14=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.969618
|
hs_3
|
mult_heuristic
|
[
58,
2,
52,
11
] | 33
|
[
"58-52=6",
"6/2=3",
"11*3=33"
] |
Current State: 33:[58, 2, 52, 11], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [2, 11, 6]
Generated Node #2: [2, 11, 6] from Operation: 58-52=6
Current State: 33:[2, 11, 6], Operations: ['58-52=6']
Exploring Operation: 6/2=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 6/2=3
Current State: 33:[11, 3], Operations: ['58-52=6', '6/2=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
Current State: 33:[58, 2, 52, 11], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [58, 11, 26]
Generated Node #0,0: 33:[58, 11, 26] Operation: 52/2=26
Exploring Operation: 58/2=29, Resulting Numbers: [52, 11, 29]
Generated Node #0,1: 33:[52, 11, 29] Operation: 58/2=29
Exploring Operation: 58-52=6, Resulting Numbers: [2, 11, 6]
Generated Node #0,2: 33:[2, 11, 6] Operation: 58-52=6
Exploring Operation: 52-11=41, Resulting Numbers: [58, 2, 41]
Generated Node #0,3: 33:[58, 2, 41] Operation: 52-11=41
Exploring Operation: 58-11=47, Resulting Numbers: [2, 52, 47]
Generated Node #0,4: 33:[2, 52, 47] Operation: 58-11=47
Moving to Node #0,2
Current State: 33:[2, 11, 6], Operations: ['58-52=6']
Exploring Operation: 2+6=8, Resulting Numbers: [11, 8]
Generated Node #0,2,0: 33:[11, 8] Operation: 2+6=8
Exploring Operation: 11-6=5, Resulting Numbers: [2, 5]
Generated Node #0,2,1: 33:[2, 5] Operation: 11-6=5
Exploring Operation: 6/2=3, Resulting Numbers: [11, 3]
Generated Node #0,2,2: 33:[11, 3] Operation: 6/2=3
Exploring Operation: 6-2=4, Resulting Numbers: [11, 4]
Generated Node #0,2,3: 33:[11, 4] Operation: 6-2=4
Exploring Operation: 2*6=12, Resulting Numbers: [11, 12]
Generated Node #0,2,4: 33:[11, 12] Operation: 2*6=12
Moving to Node #0,1
Current State: 33:[52, 11, 29], Operations: ['58/2=29']
Exploring Operation: 52-29=23, Resulting Numbers: [11, 23]
Generated Node #0,1,0: 33:[11, 23] Operation: 52-29=23
Exploring Operation: 52+11=63, Resulting Numbers: [29, 63]
Generated Node #0,1,1: 33:[29, 63] Operation: 52+11=63
Exploring Operation: 29-11=18, Resulting Numbers: [52, 18]
Generated Node #0,1,2: 33:[52, 18] Operation: 29-11=18
Exploring Operation: 11+29=40, Resulting Numbers: [52, 40]
Generated Node #0,1,3: 33:[52, 40] Operation: 11+29=40
Exploring Operation: 52-11=41, Resulting Numbers: [29, 41]
Generated Node #0,1,4: 33:[29, 41] Operation: 52-11=41
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[11, 23], Operations: ['58/2=29', '52-29=23']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 11*23=253, Resulting Numbers: [253]
253,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 33:[29, 41], Operations: ['58/2=29', '52-11=41']
Exploring Operation: 41-29=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 29*41=1189, Resulting Numbers: [1189]
1189,33 unequal: No Solution
Exploring Operation: 29+41=70, Resulting Numbers: [70]
70,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 33:[52, 18], Operations: ['58/2=29', '29-11=18']
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,33 unequal: No Solution
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 33:[52, 40], Operations: ['58/2=29', '11+29=40']
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 52*40=2080, Resulting Numbers: [2080]
2080,33 unequal: No Solution
Exploring Operation: 52+40=92, Resulting Numbers: [92]
92,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[29, 63], Operations: ['58/2=29', '52+11=63']
Exploring Operation: 29+63=92, Resulting Numbers: [92]
92,33 unequal: No Solution
Exploring Operation: 29*63=1827, Resulting Numbers: [1827]
1827,33 unequal: No Solution
Exploring Operation: 63-29=34, Resulting Numbers: [34]
34,33 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: 33:[58, 11, 26], Operations: ['52/2=26']
Exploring Operation: 58-26=32, Resulting Numbers: [11, 32]
Generated Node #0,0,0: 33:[11, 32] Operation: 58-26=32
Exploring Operation: 58-11=47, Resulting Numbers: [26, 47]
Generated Node #0,0,1: 33:[26, 47] Operation: 58-11=47
Exploring Operation: 11+26=37, Resulting Numbers: [58, 37]
Generated Node #0,0,2: 33:[58, 37] Operation: 11+26=37
Exploring Operation: 58+11=69, Resulting Numbers: [26, 69]
Generated Node #0,0,3: 33:[26, 69] Operation: 58+11=69
Exploring Operation: 26-11=15, Resulting Numbers: [58, 15]
Generated Node #0,0,4: 33:[58, 15] Operation: 26-11=15
Moving to Node #0,3
Current State: 33:[58, 2, 41], Operations: ['52-11=41']
Exploring Operation: 58-41=17, Resulting Numbers: [2, 17]
Generated Node #0,3,0: 33:[2, 17] Operation: 58-41=17
Exploring Operation: 58-2=56, Resulting Numbers: [41, 56]
Generated Node #0,3,1: 33:[41, 56] Operation: 58-2=56
Exploring Operation: 58/2=29, Resulting Numbers: [41, 29]
Generated Node #0,3,2: 33:[41, 29] Operation: 58/2=29
Exploring Operation: 58+2=60, Resulting Numbers: [41, 60]
Generated Node #0,3,3: 33:[41, 60] Operation: 58+2=60
Exploring Operation: 41-2=39, Resulting Numbers: [58, 39]
Generated Node #0,3,4: 33:[58, 39] Operation: 41-2=39
Moving to Node #0,4
Current State: 33:[2, 52, 47], Operations: ['58-11=47']
Exploring Operation: 2+52=54, Resulting Numbers: [47, 54]
Generated Node #0,4,0: 33:[47, 54] Operation: 2+52=54
Exploring Operation: 52-2=50, Resulting Numbers: [47, 50]
Generated Node #0,4,1: 33:[47, 50] Operation: 52-2=50
Exploring Operation: 52-47=5, Resulting Numbers: [2, 5]
Generated Node #0,4,2: 33:[2, 5] Operation: 52-47=5
Exploring Operation: 47-2=45, Resulting Numbers: [52, 45]
Generated Node #0,4,3: 33:[52, 45] Operation: 47-2=45
Exploring Operation: 52/2=26, Resulting Numbers: [47, 26]
Generated Node #0,4,4: 33:[47, 26] Operation: 52/2=26
Moving to Node #0,2,2
Current State: 33:[11, 3], Operations: ['58-52=6', '6/2=3']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[58, 2, 52, 11], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [2, 11, 6]
Generated Node #0,2: 33:[2, 11, 6] Operation: 58-52=6
Moving to Node #0,2
Current State: 33:[2, 11, 6], Operations: ['58-52=6']
Exploring Operation: 6/2=3, Resulting Numbers: [11, 3]
Generated Node #0,2,2: 33:[11, 3] Operation: 6/2=3
Moving to Node #0,2,2
Current State: 33:[11, 3], Operations: ['58-52=6', '6/2=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.954861
|
hs_5
|
sum_heuristic
|
[
40,
39,
45,
7
] | 51
|
[
"40-39=1",
"45+7=52",
"52-1=51"
] |
Current State: 51:[40, 39, 45, 7], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [45, 7, 1]
Generated Node #2: [45, 7, 1] from Operation: 40-39=1
Current State: 51:[45, 7, 1], Operations: ['40-39=1']
Exploring Operation: 45+7=52, Resulting Numbers: [1, 52]
Generated Node #3: [1, 52] from Operation: 45+7=52
Current State: 51:[1, 52], Operations: ['40-39=1', '45+7=52']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
Current State: 51:[40, 39, 45, 7], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [45, 7, 1]
Generated Node #0,0: 51:[45, 7, 1] Operation: 40-39=1
Moving to Node #0,0
Current State: 51:[45, 7, 1], Operations: ['40-39=1']
Exploring Operation: 45+7=52, Resulting Numbers: [1, 52]
Generated Node #0,0,0: 51:[1, 52] Operation: 45+7=52
Moving to Node #0,0,0
Current State: 51:[1, 52], Operations: ['40-39=1', '45+7=52']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[40, 39, 45, 7], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [45, 7, 1]
Generated Node #0,0: 51:[45, 7, 1] Operation: 40-39=1
Moving to Node #0,0
Current State: 51:[45, 7, 1], Operations: ['40-39=1']
Exploring Operation: 45+7=52, Resulting Numbers: [1, 52]
Generated Node #0,0,0: 51:[1, 52] Operation: 45+7=52
Moving to Node #0,0,0
Current State: 51:[1, 52], Operations: ['40-39=1', '45+7=52']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.993924
|
hs_1
|
sum_heuristic
|
[
95,
30,
2,
49
] | 53
|
[
"95-49=46",
"46/2=23",
"30+23=53"
] |
Current State: 53:[95, 30, 2, 49], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [30, 2, 46]
Generated Node #2: [30, 2, 46] from Operation: 95-49=46
Current State: 53:[30, 2, 46], Operations: ['95-49=46']
Exploring Operation: 46/2=23, Resulting Numbers: [30, 23]
Generated Node #3: [30, 23] from Operation: 46/2=23
Current State: 53:[30, 23], Operations: ['95-49=46', '46/2=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
Current State: 53:[95, 30, 2, 49], Operations: []
Exploring Operation: 95-2=93, Resulting Numbers: [30, 49, 93]
Generated Node #0,0: 53:[30, 49, 93] Operation: 95-2=93
Exploring Operation: 95-30=65, Resulting Numbers: [2, 49, 65]
Generated Node #0,1: 53:[2, 49, 65] Operation: 95-30=65
Exploring Operation: 30*2=60, Resulting Numbers: [95, 49, 60]
Generated Node #0,2: 53:[95, 49, 60] Operation: 30*2=60
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[95, 49, 60], Operations: ['30*2=60']
Exploring Operation: 95-60=35, Resulting Numbers: [49, 35]
Generated Node #0,2,0: 53:[49, 35] Operation: 95-60=35
Exploring Operation: 95-49=46, Resulting Numbers: [60, 46]
Generated Node #0,2,1: 53:[60, 46] Operation: 95-49=46
Exploring Operation: 60-49=11, Resulting Numbers: [95, 11]
Generated Node #0,2,2: 53:[95, 11] Operation: 60-49=11
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 53:[60, 46], Operations: ['30*2=60', '95-49=46']
Exploring Operation: 60+46=106, Resulting Numbers: [106]
106,53 unequal: No Solution
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Exploring Operation: 60*46=2760, Resulting Numbers: [2760]
2760,53 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 #0,2,0
Current State: 53:[49, 35], Operations: ['30*2=60', '95-60=35']
Exploring Operation: 49+35=84, Resulting Numbers: [84]
84,53 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Exploring Operation: 49*35=1715, Resulting Numbers: [1715]
1715,53 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 #0,2,2
Current State: 53:[95, 11], Operations: ['30*2=60', '60-49=11']
Exploring Operation: 95*11=1045, Resulting Numbers: [1045]
1045,53 unequal: No Solution
Exploring Operation: 95+11=106, Resulting Numbers: [106]
106,53 unequal: No Solution
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,53 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[30, 49, 93], Operations: ['95-2=93']
Exploring Operation: 93-49=44, Resulting Numbers: [30, 44]
Generated Node #0,0,0: 53:[30, 44] Operation: 93-49=44
Exploring Operation: 30+49=79, Resulting Numbers: [93, 79]
Generated Node #0,0,1: 53:[93, 79] Operation: 30+49=79
Exploring Operation: 93-30=63, Resulting Numbers: [49, 63]
Generated Node #0,0,2: 53:[49, 63] Operation: 93-30=63
Moving to Node #0,0,2
Current State: 53:[49, 63], Operations: ['95-2=93', '93-30=63']
Exploring Operation: 49+63=112, Resulting Numbers: [112]
112,53 unequal: No Solution
Exploring Operation: 49*63=3087, Resulting Numbers: [3087]
3087,53 unequal: No Solution
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[30, 44], Operations: ['95-2=93', '93-49=44']
Exploring Operation: 30+44=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Exploring Operation: 30*44=1320, Resulting Numbers: [1320]
1320,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[93, 79], Operations: ['95-2=93', '30+49=79']
Exploring Operation: 93+79=172, Resulting Numbers: [172]
172,53 unequal: No Solution
Exploring Operation: 93*79=7347, Resulting Numbers: [7347]
7347,53 unequal: No Solution
Exploring Operation: 93-79=14, Resulting Numbers: [14]
14,53 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:[2, 49, 65], Operations: ['95-30=65']
Exploring Operation: 65-2=63, Resulting Numbers: [49, 63]
Generated Node #0,1,0: 53:[49, 63] Operation: 65-2=63
Exploring Operation: 49-2=47, Resulting Numbers: [65, 47]
Generated Node #0,1,1: 53:[65, 47] Operation: 49-2=47
Exploring Operation: 2+49=51, Resulting Numbers: [65, 51]
Generated Node #0,1,2: 53:[65, 51] Operation: 2+49=51
Moving to Node #0,1,0
Current State: 53:[49, 63], Operations: ['95-30=65', '65-2=63']
Exploring Operation: 49*63=3087, Resulting Numbers: [3087]
3087,53 unequal: No Solution
Exploring Operation: 49+63=112, Resulting Numbers: [112]
112,53 unequal: No Solution
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[65, 51], Operations: ['95-30=65', '2+49=51']
Exploring Operation: 65*51=3315, Resulting Numbers: [3315]
3315,53 unequal: No Solution
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,53 unequal: No Solution
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[65, 47], Operations: ['95-30=65', '49-2=47']
Exploring Operation: 65+47=112, Resulting Numbers: [112]
112,53 unequal: No Solution
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 65*47=3055, Resulting Numbers: [3055]
3055,53 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
|
[
21,
94,
4,
23
] | 24
|
[
"94-21=73",
"23+73=96",
"96/4=24"
] |
Current State: 24:[21, 94, 4, 23], Operations: []
Exploring Operation: 94-21=73, Resulting Numbers: [4, 23, 73]
Generated Node #2: [4, 23, 73] from Operation: 94-21=73
Current State: 24:[4, 23, 73], Operations: ['94-21=73']
Exploring Operation: 23+73=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 23+73=96
Current State: 24:[4, 96], Operations: ['94-21=73', '23+73=96']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[21, 94, 4, 23], Operations: []
Exploring Operation: 94-21=73, Resulting Numbers: [4, 23, 73]
Generated Node #0,0: 24:[4, 23, 73] Operation: 94-21=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[4, 23, 73], Operations: ['94-21=73']
Exploring Operation: 73-23=50, Resulting Numbers: [4, 50]
Generated Node #0,0,0: 24:[4, 50] Operation: 73-23=50
Moving to Node #0,0,0
Current State: 24:[4, 50], Operations: ['94-21=73', '73-23=50']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,24 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
|
[
20,
31,
62,
74
] | 47
|
[
"20+74=94",
"62/31=2",
"94/2=47"
] |
Current State: 47:[20, 31, 62, 74], Operations: []
Exploring Operation: 20+74=94, Resulting Numbers: [31, 62, 94]
Generated Node #2: [31, 62, 94] from Operation: 20+74=94
Current State: 47:[31, 62, 94], Operations: ['20+74=94']
Exploring Operation: 62/31=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 62/31=2
Current State: 47:[94, 2], Operations: ['20+74=94', '62/31=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[20, 31, 62, 74], Operations: []
Exploring Operation: 74-20=54, Resulting Numbers: [31, 62, 54]
Generated Node #0,0: 47:[31, 62, 54] Operation: 74-20=54
Exploring Operation: 20+31=51, Resulting Numbers: [62, 74, 51]
Generated Node #0,1: 47:[62, 74, 51] Operation: 20+31=51
Exploring Operation: 62-20=42, Resulting Numbers: [31, 74, 42]
Generated Node #0,2: 47:[31, 74, 42] Operation: 62-20=42
Exploring Operation: 74-31=43, Resulting Numbers: [20, 62, 43]
Generated Node #0,3: 47:[20, 62, 43] Operation: 74-31=43
Exploring Operation: 62-31=31, Resulting Numbers: [20, 74, 31]
Generated Node #0,4: 47:[20, 74, 31] Operation: 62-31=31
Moving to Node #0,0
Current State: 47:[31, 62, 54], Operations: ['74-20=54']
Exploring Operation: 62-31=31, Resulting Numbers: [54, 31]
Generated Node #0,0,0: 47:[54, 31] Operation: 62-31=31
Exploring Operation: 31+62=93, Resulting Numbers: [54, 93]
Generated Node #0,0,1: 47:[54, 93] Operation: 31+62=93
Exploring Operation: 62/31=2, Resulting Numbers: [54, 2]
Generated Node #0,0,2: 47:[54, 2] Operation: 62/31=2
Exploring Operation: 31+54=85, Resulting Numbers: [62, 85]
Generated Node #0,0,3: 47:[62, 85] Operation: 31+54=85
Exploring Operation: 54-31=23, Resulting Numbers: [62, 23]
Generated Node #0,0,4: 47:[62, 23] Operation: 54-31=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[54, 31], Operations: ['74-20=54', '62-31=31']
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,47 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 47:[62, 23], Operations: ['74-20=54', '54-31=23']
Exploring Operation: 62*23=1426, Resulting Numbers: [1426]
1426,47 unequal: No Solution
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 62+23=85, Resulting Numbers: [85]
85,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[54, 2], Operations: ['74-20=54', '62/31=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,47 unequal: No Solution
Exploring Operation: 54*2=108, Resulting Numbers: [108]
108,47 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[54, 93], Operations: ['74-20=54', '31+62=93']
Exploring Operation: 54*93=5022, Resulting Numbers: [5022]
5022,47 unequal: No Solution
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 54+93=147, Resulting Numbers: [147]
147,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[62, 85], Operations: ['74-20=54', '31+54=85']
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 62*85=5270, Resulting Numbers: [5270]
5270,47 unequal: No Solution
Exploring Operation: 62+85=147, Resulting Numbers: [147]
147,47 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: 47:[20, 62, 43], Operations: ['74-31=43']
Exploring Operation: 20+43=63, Resulting Numbers: [62, 63]
Generated Node #0,3,0: 47:[62, 63] Operation: 20+43=63
Exploring Operation: 62-20=42, Resulting Numbers: [43, 42]
Generated Node #0,3,1: 47:[43, 42] Operation: 62-20=42
Exploring Operation: 20+62=82, Resulting Numbers: [43, 82]
Generated Node #0,3,2: 47:[43, 82] Operation: 20+62=82
Exploring Operation: 43-20=23, Resulting Numbers: [62, 23]
Generated Node #0,3,3: 47:[62, 23] Operation: 43-20=23
Exploring Operation: 62-43=19, Resulting Numbers: [20, 19]
Generated Node #0,3,4: 47:[20, 19] Operation: 62-43=19
Moving to Node #0,1
Current State: 47:[62, 74, 51], Operations: ['20+31=51']
Exploring Operation: 62+51=113, Resulting Numbers: [74, 113]
Generated Node #0,1,0: 47:[74, 113] Operation: 62+51=113
Exploring Operation: 62-51=11, Resulting Numbers: [74, 11]
Generated Node #0,1,1: 47:[74, 11] Operation: 62-51=11
Exploring Operation: 74-51=23, Resulting Numbers: [62, 23]
Generated Node #0,1,2: 47:[62, 23] Operation: 74-51=23
Exploring Operation: 74-62=12, Resulting Numbers: [51, 12]
Generated Node #0,1,3: 47:[51, 12] Operation: 74-62=12
Exploring Operation: 62+74=136, Resulting Numbers: [51, 136]
Generated Node #0,1,4: 47:[51, 136] Operation: 62+74=136
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[62, 23], Operations: ['20+31=51', '74-51=23']
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 62*23=1426, Resulting Numbers: [1426]
1426,47 unequal: No Solution
Exploring Operation: 62+23=85, Resulting Numbers: [85]
85,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 47:[51, 12], Operations: ['20+31=51', '74-62=12']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,47 unequal: No Solution
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[74, 11], Operations: ['20+31=51', '62-51=11']
Exploring Operation: 74*11=814, Resulting Numbers: [814]
814,47 unequal: No Solution
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[74, 113], Operations: ['20+31=51', '62+51=113']
Exploring Operation: 74*113=8362, Resulting Numbers: [8362]
8362,47 unequal: No Solution
Exploring Operation: 113-74=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 74+113=187, Resulting Numbers: [187]
187,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 47:[51, 136], Operations: ['20+31=51', '62+74=136']
Exploring Operation: 136-51=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 51+136=187, Resulting Numbers: [187]
187,47 unequal: No Solution
Exploring Operation: 51*136=6936, Resulting Numbers: [6936]
6936,47 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: 47:[31, 74, 42], Operations: ['62-20=42']
Exploring Operation: 31+74=105, Resulting Numbers: [42, 105]
Generated Node #0,2,0: 47:[42, 105] Operation: 31+74=105
Exploring Operation: 42-31=11, Resulting Numbers: [74, 11]
Generated Node #0,2,1: 47:[74, 11] Operation: 42-31=11
Exploring Operation: 74-42=32, Resulting Numbers: [31, 32]
Generated Node #0,2,2: 47:[31, 32] Operation: 74-42=32
Exploring Operation: 31+42=73, Resulting Numbers: [74, 73]
Generated Node #0,2,3: 47:[74, 73] Operation: 31+42=73
Exploring Operation: 74-31=43, Resulting Numbers: [42, 43]
Generated Node #0,2,4: 47:[42, 43] Operation: 74-31=43
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 47:[42, 43], Operations: ['62-20=42', '74-31=43']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 42*43=1806, Resulting Numbers: [1806]
1806,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[31, 32], Operations: ['62-20=42', '74-42=32']
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 31*32=992, Resulting Numbers: [992]
992,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 47:[74, 73], Operations: ['62-20=42', '31+42=73']
Exploring Operation: 74*73=5402, Resulting Numbers: [5402]
5402,47 unequal: No Solution
Exploring Operation: 74+73=147, Resulting Numbers: [147]
147,47 unequal: No Solution
Exploring Operation: 74-73=1, Resulting Numbers: [1]
1,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[42, 105], Operations: ['62-20=42', '31+74=105']
Exploring Operation: 42+105=147, Resulting Numbers: [147]
147,47 unequal: No Solution
Exploring Operation: 42*105=4410, Resulting Numbers: [4410]
4410,47 unequal: No Solution
Exploring Operation: 105-42=63, Resulting Numbers: [63]
63,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[74, 11], Operations: ['62-20=42', '42-31=11']
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 74*11=814, Resulting Numbers: [814]
814,47 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:[20, 74, 31], Operations: ['62-31=31']
Exploring Operation: 74-20=54, Resulting Numbers: [31, 54]
Generated Node #0,4,0: 47:[31, 54] Operation: 74-20=54
Exploring Operation: 31-20=11, Resulting Numbers: [74, 11]
Generated Node #0,4,1: 47:[74, 11] Operation: 31-20=11
Exploring Operation: 74-31=43, Resulting Numbers: [20, 43]
Generated Node #0,4,2: 47:[20, 43] Operation: 74-31=43
Exploring Operation: 20+31=51, Resulting Numbers: [74, 51]
Generated Node #0,4,3: 47:[74, 51] Operation: 20+31=51
Exploring Operation: 20+74=94, Resulting Numbers: [31, 94]
Generated Node #0,4,4: 47:[31, 94] Operation: 20+74=94
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 47:[31, 54], Operations: ['62-31=31', '74-20=54']
Exploring Operation: 31*54=1674, Resulting Numbers: [1674]
1674,47 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 31+54=85, Resulting Numbers: [85]
85,47 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 #0,4,2
Current State: 47:[20, 43], Operations: ['62-31=31', '74-31=43']
Exploring Operation: 20*43=860, Resulting Numbers: [860]
860,47 unequal: No Solution
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,47 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 #0,4,3
Current State: 47:[74, 51], Operations: ['62-31=31', '20+31=51']
Exploring Operation: 74-51=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 74+51=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 74*51=3774, Resulting Numbers: [3774]
3774,47 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 #0,4,1
Current State: 47:[74, 11], Operations: ['62-31=31', '31-20=11']
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 74*11=814, Resulting Numbers: [814]
814,47 unequal: No Solution
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,47 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 #0,4,4
Current State: 47:[31, 94], Operations: ['62-31=31', '20+74=94']
Exploring Operation: 31*94=2914, Resulting Numbers: [2914]
2914,47 unequal: No Solution
Exploring Operation: 94-31=63, Resulting Numbers: [63]
63,47 unequal: No Solution
Exploring Operation: 31+94=125, Resulting Numbers: [125]
125,47 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: 47:[43, 42], Operations: ['74-31=43', '62-20=42']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 43*42=1806, Resulting Numbers: [1806]
1806,47 unequal: No Solution
Exploring Operation: 43+42=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Moving to Node #0,3,0
Current State: 47:[62, 63], Operations: ['74-31=43', '20+43=63']
Exploring Operation: 62+63=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 62*63=3906, Resulting Numbers: [3906]
3906,47 unequal: No Solution
Exploring Operation: 63-62=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[43, 82], Operations: ['74-31=43', '20+62=82']
Exploring Operation: 43+82=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 82-43=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 43*82=3526, Resulting Numbers: [3526]
3526,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[62, 23], Operations: ['74-31=43', '43-20=23']
Exploring Operation: 62+23=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 62*23=1426, Resulting Numbers: [1426]
1426,47 unequal: No Solution
Moving to Node #0,3,4
Current State: 47:[20, 19], Operations: ['74-31=43', '62-43=19']
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,47 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,47 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
29,
29,
14,
36
] | 58
|
[
"29*14=406",
"36-29=7",
"406/7=58"
] |
Current State: 58:[29, 29, 14, 36], Operations: []
Exploring Operation: 29*14=406, Resulting Numbers: [36, 406]
Generated Node #2: [36, 406] from Operation: 29*14=406
Current State: 58:[36, 406], Operations: ['29*14=406']
Exploring Operation: 36-29=7, Resulting Numbers: [406, 7]
Generated Node #3: [406, 7] from Operation: 36-29=7
Current State: 58:[406, 7], Operations: ['29*14=406', '36-29=7']
Exploring Operation: 406/7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[29, 29, 14, 36], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [29, 14, 7]
Generated Node #0,0: 58:[29, 14, 7] Operation: 36-29=7
Exploring Operation: 14+36=50, Resulting Numbers: [29, 29, 50]
Generated Node #0,1: 58:[29, 29, 50] Operation: 14+36=50
Exploring Operation: 36-14=22, Resulting Numbers: [29, 29, 22]
Generated Node #0,2: 58:[29, 29, 22] Operation: 36-14=22
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[29, 29, 22], Operations: ['36-14=22']
Exploring Operation: 29-22=7, Resulting Numbers: [29, 7]
Generated Node #0,2,0: 58:[29, 7] Operation: 29-22=7
Exploring Operation: 29-22=7, Resulting Numbers: [29, 7]
Generated Node #0,2,1: 58:[29, 7] Operation: 29-22=7
Exploring Operation: 29+29=58, Resulting Numbers: [22, 58]
Generated Node #0,2,2: 58:[22, 58] Operation: 29+29=58
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 58:[29, 7], Operations: ['36-14=22', '29-22=7']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 29+7=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 29*7=203, Resulting Numbers: [203]
203,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 58:[29, 7], Operations: ['36-14=22', '29-22=7']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 29+7=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 29*7=203, Resulting Numbers: [203]
203,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 58:[22, 58], Operations: ['36-14=22', '29+29=58']
Exploring Operation: 58-22=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 22*58=1276, Resulting Numbers: [1276]
1276,58 unequal: No Solution
Exploring Operation: 22+58=80, Resulting Numbers: [80]
80,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[29, 29, 50], Operations: ['14+36=50']
Exploring Operation: 29+29=58, Resulting Numbers: [50, 58]
Generated Node #0,1,0: 58:[50, 58] Operation: 29+29=58
Exploring Operation: 50-29=21, Resulting Numbers: [29, 21]
Generated Node #0,1,1: 58:[29, 21] Operation: 50-29=21
Exploring Operation: 50-29=21, Resulting Numbers: [29, 21]
Generated Node #0,1,2: 58:[29, 21] Operation: 50-29=21
Moving to Node #0,1,0
Current State: 58:[50, 58], Operations: ['14+36=50', '29+29=58']
Exploring Operation: 50+58=108, Resulting Numbers: [108]
108,58 unequal: No Solution
Exploring Operation: 58-50=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 50*58=2900, Resulting Numbers: [2900]
2900,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[29, 21], Operations: ['14+36=50', '50-29=21']
Exploring Operation: 29*21=609, Resulting Numbers: [609]
609,58 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[29, 21], Operations: ['14+36=50', '50-29=21']
Exploring Operation: 29*21=609, Resulting Numbers: [609]
609,58 unequal: No Solution
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,58 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
Current State: 58:[29, 14, 7], Operations: ['36-29=7']
Exploring Operation: 14+7=21, Resulting Numbers: [29, 21]
Generated Node #0,0,0: 58:[29, 21] Operation: 14+7=21
Exploring Operation: 14/7=2, Resulting Numbers: [29, 2]
Generated Node #0,0,1: 58:[29, 2] Operation: 14/7=2
Exploring Operation: 14-7=7, Resulting Numbers: [29, 7]
Generated Node #0,0,2: 58:[29, 7] Operation: 14-7=7
Moving to Node #0,0,1
Current State: 58:[29, 2], Operations: ['36-29=7', '14/7=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[29, 29, 14, 36], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [29, 14, 7]
Generated Node #0,0: 58:[29, 14, 7] Operation: 36-29=7
Moving to Node #0,0
Current State: 58:[29, 14, 7], Operations: ['36-29=7']
Exploring Operation: 14/7=2, Resulting Numbers: [29, 2]
Generated Node #0,0,1: 58:[29, 2] Operation: 14/7=2
Moving to Node #0,0,1
Current State: 58:[29, 2], Operations: ['36-29=7', '14/7=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_3
|
sum_heuristic
|
[
9,
24,
32,
5
] | 13
|
[
"9+24=33",
"32+33=65",
"65/5=13"
] |
Current State: 13:[9, 24, 32, 5], Operations: []
Exploring Operation: 9+24=33, Resulting Numbers: [32, 5, 33]
Generated Node #2: [32, 5, 33] from Operation: 9+24=33
Current State: 13:[32, 5, 33], Operations: ['9+24=33']
Exploring Operation: 32+33=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 32+33=65
Current State: 13:[5, 65], Operations: ['9+24=33', '32+33=65']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[9, 24, 32, 5], Operations: []
Exploring Operation: 32-24=8, Resulting Numbers: [9, 5, 8]
Generated Node #0,0: 13:[9, 5, 8] Operation: 32-24=8
Exploring Operation: 32-9=23, Resulting Numbers: [24, 5, 23]
Generated Node #0,1: 13:[24, 5, 23] Operation: 32-9=23
Exploring Operation: 24-9=15, Resulting Numbers: [32, 5, 15]
Generated Node #0,2: 13:[32, 5, 15] Operation: 24-9=15
Exploring Operation: 24-5=19, Resulting Numbers: [9, 32, 19]
Generated Node #0,3: 13:[9, 32, 19] Operation: 24-5=19
Exploring Operation: 32-5=27, Resulting Numbers: [9, 24, 27]
Generated Node #0,4: 13:[9, 24, 27] Operation: 32-5=27
Moving to Node #0,0
Current State: 13:[9, 5, 8], Operations: ['32-24=8']
Exploring Operation: 9+8=17, Resulting Numbers: [5, 17]
Generated Node #0,0,0: 13:[5, 17] Operation: 9+8=17
Exploring Operation: 5+8=13, Resulting Numbers: [9, 13]
Generated Node #0,0,1: 13:[9, 13] Operation: 5+8=13
Exploring Operation: 9+5=14, Resulting Numbers: [8, 14]
Generated Node #0,0,2: 13:[8, 14] Operation: 9+5=14
Exploring Operation: 8-5=3, Resulting Numbers: [9, 3]
Generated Node #0,0,3: 13:[9, 3] Operation: 8-5=3
Exploring Operation: 9-5=4, Resulting Numbers: [8, 4]
Generated Node #0,0,4: 13:[8, 4] Operation: 9-5=4
Moving to Node #0,2
Current State: 13:[32, 5, 15], Operations: ['24-9=15']
Exploring Operation: 32-5=27, Resulting Numbers: [15, 27]
Generated Node #0,2,0: 13:[15, 27] Operation: 32-5=27
Exploring Operation: 5+15=20, Resulting Numbers: [32, 20]
Generated Node #0,2,1: 13:[32, 20] Operation: 5+15=20
Exploring Operation: 32+5=37, Resulting Numbers: [15, 37]
Generated Node #0,2,2: 13:[15, 37] Operation: 32+5=37
Exploring Operation: 15-5=10, Resulting Numbers: [32, 10]
Generated Node #0,2,3: 13:[32, 10] Operation: 15-5=10
Exploring Operation: 32-15=17, Resulting Numbers: [5, 17]
Generated Node #0,2,4: 13:[5, 17] Operation: 32-15=17
Moving to Node #0,4
Current State: 13:[9, 24, 27], Operations: ['32-5=27']
Exploring Operation: 27/9=3, Resulting Numbers: [24, 3]
Generated Node #0,4,0: 13:[24, 3] Operation: 27/9=3
Exploring Operation: 24-9=15, Resulting Numbers: [27, 15]
Generated Node #0,4,1: 13:[27, 15] Operation: 24-9=15
Exploring Operation: 27-24=3, Resulting Numbers: [9, 3]
Generated Node #0,4,2: 13:[9, 3] Operation: 27-24=3
Exploring Operation: 27-9=18, Resulting Numbers: [24, 18]
Generated Node #0,4,3: 13:[24, 18] Operation: 27-9=18
Exploring Operation: 9+24=33, Resulting Numbers: [27, 33]
Generated Node #0,4,4: 13:[27, 33] Operation: 9+24=33
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 13:[9, 3], Operations: ['32-5=27', '27-24=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 13:[27, 15], Operations: ['32-5=27', '24-9=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,13 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,13 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 #0,4,3
Current State: 13:[24, 18], Operations: ['32-5=27', '27-9=18']
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,13 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 13:[24, 3], Operations: ['32-5=27', '27/9=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,13 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 13:[27, 33], Operations: ['32-5=27', '9+24=33']
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Exploring Operation: 27*33=891, Resulting Numbers: [891]
891,13 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 13:[24, 5, 23], Operations: ['32-9=23']
Exploring Operation: 24-5=19, Resulting Numbers: [23, 19]
Generated Node #0,1,0: 13:[23, 19] Operation: 24-5=19
Exploring Operation: 23-5=18, Resulting Numbers: [24, 18]
Generated Node #0,1,1: 13:[24, 18] Operation: 23-5=18
Exploring Operation: 24+5=29, Resulting Numbers: [23, 29]
Generated Node #0,1,2: 13:[23, 29] Operation: 24+5=29
Exploring Operation: 5+23=28, Resulting Numbers: [24, 28]
Generated Node #0,1,3: 13:[24, 28] Operation: 5+23=28
Exploring Operation: 24-23=1, Resulting Numbers: [5, 1]
Generated Node #0,1,4: 13:[5, 1] Operation: 24-23=1
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[23, 19], Operations: ['32-9=23', '24-5=19']
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,13 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[24, 18], Operations: ['32-9=23', '23-5=18']
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,13 unequal: No Solution
Exploring Operation: 24-18=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 #0,1,4
Current State: 13:[5, 1], Operations: ['32-9=23', '24-23=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 5/1=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 #0,1,2
Current State: 13:[23, 29], Operations: ['32-9=23', '24+5=29']
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,13 unequal: No Solution
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Exploring Operation: 29-23=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 #0,1,3
Current State: 13:[24, 28], Operations: ['32-9=23', '5+23=28']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 24*28=672, Resulting Numbers: [672]
672,13 unequal: No Solution
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,13 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: 13:[9, 32, 19], Operations: ['24-5=19']
Exploring Operation: 32-19=13, Resulting Numbers: [9, 13]
Generated Node #0,3,0: 13:[9, 13] Operation: 32-19=13
Exploring Operation: 32-9=23, Resulting Numbers: [19, 23]
Generated Node #0,3,1: 13:[19, 23] Operation: 32-9=23
Exploring Operation: 9+19=28, Resulting Numbers: [32, 28]
Generated Node #0,3,2: 13:[32, 28] Operation: 9+19=28
Exploring Operation: 19-9=10, Resulting Numbers: [32, 10]
Generated Node #0,3,3: 13:[32, 10] Operation: 19-9=10
Exploring Operation: 9+32=41, Resulting Numbers: [19, 41]
Generated Node #0,3,4: 13:[19, 41] Operation: 9+32=41
Moving to Node #0,0,1
Current State: 13:[9, 13], Operations: ['32-24=8', '5+8=13']
Exploring Operation: 9*13=117, Resulting Numbers: [117]
117,13 unequal: No Solution
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[9, 13], Operations: ['24-5=19', '32-19=13']
Exploring Operation: 9*13=117, Resulting Numbers: [117]
117,13 unequal: No Solution
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[8, 14], Operations: ['32-24=8', '9+5=14']
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,13 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[5, 17], Operations: ['32-24=8', '9+8=17']
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,13 unequal: No Solution
Moving to Node #0,2,4
Current State: 13:[5, 17], Operations: ['24-9=15', '32-15=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,13 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Moving to Node #0,0,4
Current State: 13:[8, 4], Operations: ['32-24=8', '9-5=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,13 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[9, 3], Operations: ['32-24=8', '8-5=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[15, 27], Operations: ['24-9=15', '32-5=27']
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 15*27=405, Resulting Numbers: [405]
405,13 unequal: No Solution
Moving to Node #0,3,1
Current State: 13:[19, 23], Operations: ['24-5=19', '32-9=23']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,13 unequal: No Solution
Moving to Node #0,3,3
Current State: 13:[32, 10], Operations: ['24-5=19', '19-9=10']
Exploring Operation: 32*10=320, Resulting Numbers: [320]
320,13 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Moving to Node #0,2,3
Current State: 13:[32, 10], Operations: ['24-9=15', '15-5=10']
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 32*10=320, Resulting Numbers: [320]
320,13 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[15, 37], Operations: ['24-9=15', '32+5=37']
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 15*37=555, Resulting Numbers: [555]
555,13 unequal: No Solution
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[32, 20], Operations: ['24-9=15', '5+15=20']
Exploring Operation: 32+20=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 32*20=640, Resulting Numbers: [640]
640,13 unequal: No Solution
Moving to Node #0,3,4
Current State: 13:[19, 41], Operations: ['24-5=19', '9+32=41']
Exploring Operation: 19+41=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 19*41=779, Resulting Numbers: [779]
779,13 unequal: No Solution
Moving to Node #0,3,2
Current State: 13:[32, 28], Operations: ['24-5=19', '9+19=28']
Exploring Operation: 32*28=896, Resulting Numbers: [896]
896,13 unequal: No Solution
Exploring Operation: 32+28=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,13 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
63,
9,
99,
12
] | 63
|
[
"99/9=11",
"12-11=1",
"63*1=63"
] |
Current State: 63:[63, 9, 99, 12], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [63, 12, 11]
Generated Node #2: [63, 12, 11] from Operation: 99/9=11
Current State: 63:[63, 12, 11], Operations: ['99/9=11']
Exploring Operation: 12-11=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 12-11=1
Current State: 63:[63, 1], Operations: ['99/9=11', '12-11=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[63, 9, 99, 12], Operations: []
Exploring Operation: 99-12=87, Resulting Numbers: [63, 9, 87]
Generated Node #0,0: 63:[63, 9, 87] Operation: 99-12=87
Exploring Operation: 99/9=11, Resulting Numbers: [63, 12, 11]
Generated Node #0,1: 63:[63, 12, 11] Operation: 99/9=11
Exploring Operation: 99-63=36, Resulting Numbers: [9, 12, 36]
Generated Node #0,2: 63:[9, 12, 36] Operation: 99-63=36
Exploring Operation: 99-9=90, Resulting Numbers: [63, 12, 90]
Generated Node #0,3: 63:[63, 12, 90] Operation: 99-9=90
Exploring Operation: 9+12=21, Resulting Numbers: [63, 99, 21]
Generated Node #0,4: 63:[63, 99, 21] Operation: 9+12=21
Moving to Node #0,1
Current State: 63:[63, 12, 11], Operations: ['99/9=11']
Exploring Operation: 12+11=23, Resulting Numbers: [63, 23]
Generated Node #0,1,0: 63:[63, 23] Operation: 12+11=23
Exploring Operation: 63+12=75, Resulting Numbers: [11, 75]
Generated Node #0,1,1: 63:[11, 75] Operation: 63+12=75
Exploring Operation: 63-12=51, Resulting Numbers: [11, 51]
Generated Node #0,1,2: 63:[11, 51] Operation: 63-12=51
Exploring Operation: 12-11=1, Resulting Numbers: [63, 1]
Generated Node #0,1,3: 63:[63, 1] Operation: 12-11=1
Exploring Operation: 63+11=74, Resulting Numbers: [12, 74]
Generated Node #0,1,4: 63:[12, 74] Operation: 63+11=74
Moving to Node #0,2
Current State: 63:[9, 12, 36], Operations: ['99-63=36']
Exploring Operation: 36/9=4, Resulting Numbers: [12, 4]
Generated Node #0,2,0: 63:[12, 4] Operation: 36/9=4
Exploring Operation: 36-9=27, Resulting Numbers: [12, 27]
Generated Node #0,2,1: 63:[12, 27] Operation: 36-9=27
Exploring Operation: 36/12=3, Resulting Numbers: [9, 3]
Generated Node #0,2,2: 63:[9, 3] Operation: 36/12=3
Exploring Operation: 9+12=21, Resulting Numbers: [36, 21]
Generated Node #0,2,3: 63:[36, 21] Operation: 9+12=21
Exploring Operation: 36-12=24, Resulting Numbers: [9, 24]
Generated Node #0,2,4: 63:[9, 24] Operation: 36-12=24
Moving to Node #0,0
Current State: 63:[63, 9, 87], Operations: ['99-12=87']
Exploring Operation: 87-63=24, Resulting Numbers: [9, 24]
Generated Node #0,0,0: 63:[9, 24] Operation: 87-63=24
Exploring Operation: 63/9=7, Resulting Numbers: [87, 7]
Generated Node #0,0,1: 63:[87, 7] Operation: 63/9=7
Exploring Operation: 63-9=54, Resulting Numbers: [87, 54]
Generated Node #0,0,2: 63:[87, 54] Operation: 63-9=54
Exploring Operation: 63+9=72, Resulting Numbers: [87, 72]
Generated Node #0,0,3: 63:[87, 72] Operation: 63+9=72
Exploring Operation: 87-9=78, Resulting Numbers: [63, 78]
Generated Node #0,0,4: 63:[63, 78] Operation: 87-9=78
Moving to Node #0,3
Current State: 63:[63, 12, 90], Operations: ['99-9=90']
Exploring Operation: 90-12=78, Resulting Numbers: [63, 78]
Generated Node #0,3,0: 63:[63, 78] Operation: 90-12=78
Exploring Operation: 63-12=51, Resulting Numbers: [90, 51]
Generated Node #0,3,1: 63:[90, 51] Operation: 63-12=51
Exploring Operation: 90-63=27, Resulting Numbers: [12, 27]
Generated Node #0,3,2: 63:[12, 27] Operation: 90-63=27
Exploring Operation: 12+90=102, Resulting Numbers: [63, 102]
Generated Node #0,3,3: 63:[63, 102] Operation: 12+90=102
Exploring Operation: 63+12=75, Resulting Numbers: [90, 75]
Generated Node #0,3,4: 63:[90, 75] Operation: 63+12=75
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 63:[12, 27], Operations: ['99-9=90', '90-63=27']
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,63 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 12+27=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 #0,3,0
Current State: 63:[63, 78], Operations: ['99-9=90', '90-12=78']
Exploring Operation: 63*78=4914, Resulting Numbers: [4914]
4914,63 unequal: No Solution
Exploring Operation: 78-63=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 63+78=141, Resulting Numbers: [141]
141,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 63:[90, 51], Operations: ['99-9=90', '63-12=51']
Exploring Operation: 90+51=141, Resulting Numbers: [141]
141,63 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,63 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
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 63:[63, 102], Operations: ['99-9=90', '12+90=102']
Exploring Operation: 63*102=6426, Resulting Numbers: [6426]
6426,63 unequal: No Solution
Exploring Operation: 63+102=165, Resulting Numbers: [165]
165,63 unequal: No Solution
Exploring Operation: 102-63=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 #0,3,4
Current State: 63:[90, 75], Operations: ['99-9=90', '63+12=75']
Exploring Operation: 90-75=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 90+75=165, Resulting Numbers: [165]
165,63 unequal: No Solution
Exploring Operation: 90*75=6750, Resulting Numbers: [6750]
6750,63 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:[63, 99, 21], Operations: ['9+12=21']
Exploring Operation: 99-21=78, Resulting Numbers: [63, 78]
Generated Node #0,4,0: 63:[63, 78] Operation: 99-21=78
Exploring Operation: 99-63=36, Resulting Numbers: [21, 36]
Generated Node #0,4,1: 63:[21, 36] Operation: 99-63=36
Exploring Operation: 63-21=42, Resulting Numbers: [99, 42]
Generated Node #0,4,2: 63:[99, 42] Operation: 63-21=42
Exploring Operation: 63/21=3, Resulting Numbers: [99, 3]
Generated Node #0,4,3: 63:[99, 3] Operation: 63/21=3
Exploring Operation: 63+21=84, Resulting Numbers: [99, 84]
Generated Node #0,4,4: 63:[99, 84] Operation: 63+21=84
Moving to Node #0,2,2
Current State: 63:[9, 3], Operations: ['99-63=36', '36/12=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,63 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[63, 23], Operations: ['99/9=11', '12+11=23']
Exploring Operation: 63+23=86, Resulting Numbers: [86]
86,63 unequal: No Solution
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,63 unequal: No Solution
Exploring Operation: 63*23=1449, Resulting Numbers: [1449]
1449,63 unequal: No Solution
Moving to Node #0,1,3
Current State: 63:[63, 1], Operations: ['99/9=11', '12-11=1']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[63, 9, 99, 12], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [63, 12, 11]
Generated Node #0,1: 63:[63, 12, 11] Operation: 99/9=11
Moving to Node #0,1
Current State: 63:[63, 12, 11], Operations: ['99/9=11']
Exploring Operation: 12-11=1, Resulting Numbers: [63, 1]
Generated Node #0,1,3: 63:[63, 1] Operation: 12-11=1
Moving to Node #0,1,3
Current State: 63:[63, 1], Operations: ['99/9=11', '12-11=1']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.950521
|
hs_5
|
sum_heuristic
|
[
16,
63,
86,
49
] | 84
|
[
"63-16=47",
"86-49=37",
"47+37=84"
] |
Current State: 84:[16, 63, 86, 49], Operations: []
Exploring Operation: 63-16=47, Resulting Numbers: [86, 49, 47]
Generated Node #2: [86, 49, 47] from Operation: 63-16=47
Current State: 84:[86, 49, 47], Operations: ['63-16=47']
Exploring Operation: 86-49=37, Resulting Numbers: [47, 37]
Generated Node #3: [47, 37] from Operation: 86-49=37
Current State: 84:[47, 37], Operations: ['63-16=47', '86-49=37']
Exploring Operation: 47+37=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
Current State: 84:[16, 63, 86, 49], Operations: []
Exploring Operation: 86-63=23, Resulting Numbers: [16, 49, 23]
Generated Node #0,0: 84:[16, 49, 23] Operation: 86-63=23
Exploring Operation: 63-49=14, Resulting Numbers: [16, 86, 14]
Generated Node #0,1: 84:[16, 86, 14] Operation: 63-49=14
Moving to Node #0,1
Current State: 84:[16, 86, 14], Operations: ['63-49=14']
Exploring Operation: 16+14=30, Resulting Numbers: [86, 30]
Generated Node #0,1,0: 84:[86, 30] Operation: 16+14=30
Exploring Operation: 16-14=2, Resulting Numbers: [86, 2]
Generated Node #0,1,1: 84:[86, 2] Operation: 16-14=2
Moving to Node #0,0
Current State: 84:[16, 49, 23], Operations: ['86-63=23']
Exploring Operation: 49-23=26, Resulting Numbers: [16, 26]
Generated Node #0,0,0: 84:[16, 26] Operation: 49-23=26
Exploring Operation: 49-16=33, Resulting Numbers: [23, 33]
Generated Node #0,0,1: 84:[23, 33] Operation: 49-16=33
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[16, 26], Operations: ['86-63=23', '49-23=26']
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,84 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 #0,0,1
Current State: 84:[23, 33], Operations: ['86-63=23', '49-16=33']
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,84 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:[86, 2], Operations: ['63-49=14', '16-14=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[16, 63, 86, 49], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [16, 86, 14]
Generated Node #0,1: 84:[16, 86, 14] Operation: 63-49=14
Moving to Node #0,1
Current State: 84:[16, 86, 14], Operations: ['63-49=14']
Exploring Operation: 16-14=2, Resulting Numbers: [86, 2]
Generated Node #0,1,1: 84:[86, 2] Operation: 16-14=2
Moving to Node #0,1,1
Current State: 84:[86, 2], Operations: ['63-49=14', '16-14=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.986979
|
hs_2
|
mult_heuristic
|
[
10,
55,
7,
34
] | 47
|
[
"10-7=3",
"34*3=102",
"102-55=47"
] |
Current State: 47:[10, 55, 7, 34], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [55, 34, 3]
Generated Node #2: [55, 34, 3] from Operation: 10-7=3
Current State: 47:[55, 34, 3], Operations: ['10-7=3']
Exploring Operation: 34*3=102, Resulting Numbers: [55, 102]
Generated Node #3: [55, 102] from Operation: 34*3=102
Current State: 47:[55, 102], Operations: ['10-7=3', '34*3=102']
Exploring Operation: 102-55=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[10, 55, 7, 34], Operations: []
Exploring Operation: 10*7=70, Resulting Numbers: [55, 34, 70]
Generated Node #0,0: 47:[55, 34, 70] Operation: 10*7=70
Moving to Node #0,0
Current State: 47:[55, 34, 70], Operations: ['10*7=70']
Exploring Operation: 70-34=36, Resulting Numbers: [55, 36]
Generated Node #0,0,0: 47:[55, 36] Operation: 70-34=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[55, 36], Operations: ['10*7=70', '70-34=36']
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,47 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
|
[
24,
51,
46,
30
] | 90
|
[
"51-46=5",
"24*5=120",
"120-30=90"
] |
Current State: 90:[24, 51, 46, 30], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [24, 30, 5]
Generated Node #2: [24, 30, 5] from Operation: 51-46=5
Current State: 90:[24, 30, 5], Operations: ['51-46=5']
Exploring Operation: 24*5=120, Resulting Numbers: [30, 120]
Generated Node #3: [30, 120] from Operation: 24*5=120
Current State: 90:[30, 120], Operations: ['51-46=5', '24*5=120']
Exploring Operation: 120-30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
Current State: 90:[24, 51, 46, 30], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [24, 30, 5]
Generated Node #0,0: 90:[24, 30, 5] Operation: 51-46=5
Exploring Operation: 51-24=27, Resulting Numbers: [46, 30, 27]
Generated Node #0,1: 90:[46, 30, 27] Operation: 51-24=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[46, 30, 27], Operations: ['51-24=27']
Exploring Operation: 46-27=19, Resulting Numbers: [30, 19]
Generated Node #0,1,0: 90:[30, 19] Operation: 46-27=19
Exploring Operation: 30-27=3, Resulting Numbers: [46, 3]
Generated Node #0,1,1: 90:[46, 3] Operation: 30-27=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[30, 19], Operations: ['51-24=27', '46-27=19']
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,90 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 #0,1,1
Current State: 90:[46, 3], Operations: ['51-24=27', '30-27=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,90 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,90 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[24, 30, 5], Operations: ['51-46=5']
Exploring Operation: 24+5=29, Resulting Numbers: [30, 29]
Generated Node #0,0,0: 90:[30, 29] Operation: 24+5=29
Exploring Operation: 30-24=6, Resulting Numbers: [5, 6]
Generated Node #0,0,1: 90:[5, 6] Operation: 30-24=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[5, 6], Operations: ['51-46=5', '30-24=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,90 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:[30, 29], Operations: ['51-46=5', '24+5=29']
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,90 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
|
mult_heuristic
|
[
38,
27,
73,
80
] | 10
|
[
"38+27=65",
"73-65=8",
"80/8=10"
] |
Current State: 10:[38, 27, 73, 80], Operations: []
Exploring Operation: 38+27=65, Resulting Numbers: [73, 80, 65]
Generated Node #2: [73, 80, 65] from Operation: 38+27=65
Current State: 10:[73, 80, 65], Operations: ['38+27=65']
Exploring Operation: 73-65=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 73-65=8
Current State: 10:[80, 8], Operations: ['38+27=65', '73-65=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[38, 27, 73, 80], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [27, 80, 35]
Generated Node #0,0: 10:[27, 80, 35] Operation: 73-38=35
Exploring Operation: 80-38=42, Resulting Numbers: [27, 73, 42]
Generated Node #0,1: 10:[27, 73, 42] Operation: 80-38=42
Exploring Operation: 80-73=7, Resulting Numbers: [38, 27, 7]
Generated Node #0,2: 10:[38, 27, 7] Operation: 80-73=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[38, 27, 7], Operations: ['80-73=7']
Exploring Operation: 38-27=11, Resulting Numbers: [7, 11]
Generated Node #0,2,0: 10:[7, 11] Operation: 38-27=11
Exploring Operation: 27-7=20, Resulting Numbers: [38, 20]
Generated Node #0,2,1: 10:[38, 20] Operation: 27-7=20
Exploring Operation: 38-7=31, Resulting Numbers: [27, 31]
Generated Node #0,2,2: 10:[27, 31] Operation: 38-7=31
Moving to Node #0,2,0
Current State: 10:[7, 11], Operations: ['80-73=7', '38-27=11']
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[38, 20], Operations: ['80-73=7', '27-7=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,10 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[27, 31], Operations: ['80-73=7', '38-7=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,10 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[27, 80, 35], Operations: ['73-38=35']
Exploring Operation: 80-27=53, Resulting Numbers: [35, 53]
Generated Node #0,0,0: 10:[35, 53] Operation: 80-27=53
Exploring Operation: 35-27=8, Resulting Numbers: [80, 8]
Generated Node #0,0,1: 10:[80, 8] Operation: 35-27=8
Exploring Operation: 80-35=45, Resulting Numbers: [27, 45]
Generated Node #0,0,2: 10:[27, 45] Operation: 80-35=45
Moving to Node #0,0,2
Current State: 10:[27, 45], Operations: ['73-38=35', '80-35=45']
Exploring Operation: 27*45=1215, Resulting Numbers: [1215]
1215,10 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 27+45=72, Resulting Numbers: [72]
72,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[35, 53], Operations: ['73-38=35', '80-27=53']
Exploring Operation: 35*53=1855, Resulting Numbers: [1855]
1855,10 unequal: No Solution
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 35+53=88, Resulting Numbers: [88]
88,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[80, 8], Operations: ['73-38=35', '35-27=8']
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,10 unequal: No Solution
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[38, 27, 73, 80], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [27, 80, 35]
Generated Node #0,0: 10:[27, 80, 35] Operation: 73-38=35
Moving to Node #0,0
Current State: 10:[27, 80, 35], Operations: ['73-38=35']
Exploring Operation: 35-27=8, Resulting Numbers: [80, 8]
Generated Node #0,0,1: 10:[80, 8] Operation: 35-27=8
Moving to Node #0,0,1
Current State: 10:[80, 8], Operations: ['73-38=35', '35-27=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958
|
hs_3
|
sum_heuristic
|
[
88,
72,
24,
42
] | 28
|
[
"88-72=16",
"42*16=672",
"672/24=28"
] |
Current State: 28:[88, 72, 24, 42], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [24, 42, 16]
Generated Node #2: [24, 42, 16] from Operation: 88-72=16
Current State: 28:[24, 42, 16], Operations: ['88-72=16']
Exploring Operation: 42*16=672, Resulting Numbers: [24, 672]
Generated Node #3: [24, 672] from Operation: 42*16=672
Current State: 28:[24, 672], Operations: ['88-72=16', '42*16=672']
Exploring Operation: 672/24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
Current State: 28:[88, 72, 24, 42], Operations: []
Exploring Operation: 72-42=30, Resulting Numbers: [88, 24, 30]
Generated Node #0,0: 28:[88, 24, 30] Operation: 72-42=30
Exploring Operation: 88-72=16, Resulting Numbers: [24, 42, 16]
Generated Node #0,1: 28:[24, 42, 16] Operation: 88-72=16
Exploring Operation: 88-42=46, Resulting Numbers: [72, 24, 46]
Generated Node #0,2: 28:[72, 24, 46] Operation: 88-42=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[24, 42, 16], Operations: ['88-72=16']
Exploring Operation: 42-24=18, Resulting Numbers: [16, 18]
Generated Node #0,1,0: 28:[16, 18] Operation: 42-24=18
Exploring Operation: 24-16=8, Resulting Numbers: [42, 8]
Generated Node #0,1,1: 28:[42, 8] Operation: 24-16=8
Exploring Operation: 42-16=26, Resulting Numbers: [24, 26]
Generated Node #0,1,2: 28:[24, 26] Operation: 42-16=26
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[16, 18], Operations: ['88-72=16', '42-24=18']
Exploring Operation: 16*18=288, Resulting Numbers: [288]
288,28 unequal: No Solution
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[24, 26], Operations: ['88-72=16', '42-16=26']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 24*26=624, Resulting Numbers: [624]
624,28 unequal: No Solution
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[42, 8], Operations: ['88-72=16', '24-16=8']
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,28 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,28 unequal: No Solution
Exploring Operation: 42*8=336, Resulting Numbers: [336]
336,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[88, 24, 30], Operations: ['72-42=30']
Exploring Operation: 88-24=64, Resulting Numbers: [30, 64]
Generated Node #0,0,0: 28:[30, 64] Operation: 88-24=64
Exploring Operation: 88-30=58, Resulting Numbers: [24, 58]
Generated Node #0,0,1: 28:[24, 58] Operation: 88-30=58
Exploring Operation: 30-24=6, Resulting Numbers: [88, 6]
Generated Node #0,0,2: 28:[88, 6] Operation: 30-24=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 28:[24, 58], Operations: ['72-42=30', '88-30=58']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,28 unequal: No Solution
Exploring Operation: 24*58=1392, Resulting Numbers: [1392]
1392,28 unequal: No Solution
Exploring Operation: 24+58=82, Resulting Numbers: [82]
82,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[30, 64], Operations: ['72-42=30', '88-24=64']
Exploring Operation: 30*64=1920, Resulting Numbers: [1920]
1920,28 unequal: No Solution
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,28 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 28:[88, 6], Operations: ['72-42=30', '30-24=6']
Exploring Operation: 88*6=528, Resulting Numbers: [528]
528,28 unequal: No Solution
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[72, 24, 46], Operations: ['88-42=46']
Exploring Operation: 72-46=26, Resulting Numbers: [24, 26]
Generated Node #0,2,0: 28:[24, 26] Operation: 72-46=26
Exploring Operation: 72/24=3, Resulting Numbers: [46, 3]
Generated Node #0,2,1: 28:[46, 3] Operation: 72/24=3
Exploring Operation: 72-24=48, Resulting Numbers: [46, 48]
Generated Node #0,2,2: 28:[46, 48] Operation: 72-24=48
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[24, 26], Operations: ['88-42=46', '72-46=26']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,28 unequal: No Solution
Exploring Operation: 24*26=624, Resulting Numbers: [624]
624,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 28:[46, 3], Operations: ['88-42=46', '72/24=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,28 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,28 unequal: No Solution
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[46, 48], Operations: ['88-42=46', '72-24=48']
Exploring Operation: 46*48=2208, Resulting Numbers: [2208]
2208,28 unequal: No Solution
Exploring Operation: 48-46=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 46+48=94, Resulting Numbers: [94]
94,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
84,
7,
78,
84
] | 54
|
[
"84+84=168",
"168/7=24",
"78-24=54"
] |
Current State: 54:[84, 7, 78, 84], Operations: []
Exploring Operation: 84+84=168, Resulting Numbers: [7, 78, 168]
Generated Node #2: [7, 78, 168] from Operation: 84+84=168
Current State: 54:[7, 78, 168], Operations: ['84+84=168']
Exploring Operation: 168/7=24, Resulting Numbers: [78, 24]
Generated Node #3: [78, 24] from Operation: 168/7=24
Current State: 54:[78, 24], Operations: ['84+84=168', '168/7=24']
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
Current State: 54:[84, 7, 78, 84], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [7, 78, 0]
Generated Node #0,0: 54:[7, 78, 0] Operation: 84-84=0
Exploring Operation: 84/84=1, Resulting Numbers: [7, 78, 1]
Generated Node #0,1: 54:[7, 78, 1] Operation: 84/84=1
Moving to Node #0,1
Current State: 54:[7, 78, 1], Operations: ['84/84=1']
Exploring Operation: 78-7=71, Resulting Numbers: [1, 71]
Generated Node #0,1,0: 54:[1, 71] Operation: 78-7=71
Exploring Operation: 7-1=6, Resulting Numbers: [78, 6]
Generated Node #0,1,1: 54:[78, 6] Operation: 7-1=6
Moving to Node #0,0
Current State: 54:[7, 78, 0], Operations: ['84-84=0']
Exploring Operation: 78-7=71, Resulting Numbers: [0, 71]
Generated Node #0,0,0: 54:[0, 71] Operation: 78-7=71
Exploring Operation: 78*0=0, Resulting Numbers: [7, 0]
Generated Node #0,0,1: 54:[7, 0] Operation: 78*0=0
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[7, 0], Operations: ['84-84=0', '78*0=0']
Exploring Operation: 7+0=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[0, 71], Operations: ['84-84=0', '78-7=71']
Exploring Operation: 0+71=71, Resulting Numbers: [71]
71,54 unequal: No Solution
Exploring Operation: 0*71=0, Resulting Numbers: [0]
0,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 54:[1, 71], Operations: ['84/84=1', '78-7=71']
Exploring Operation: 1*71=71, Resulting Numbers: [71]
71,54 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[78, 6], Operations: ['84/84=1', '7-1=6']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,54 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
45,
47,
91,
79
] | 14
|
[
"47-45=2",
"91-79=12",
"2+12=14"
] |
Current State: 14:[45, 47, 91, 79], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [91, 79, 2]
Generated Node #2: [91, 79, 2] from Operation: 47-45=2
Current State: 14:[91, 79, 2], Operations: ['47-45=2']
Exploring Operation: 91-79=12, Resulting Numbers: [2, 12]
Generated Node #3: [2, 12] from Operation: 91-79=12
Current State: 14:[2, 12], Operations: ['47-45=2', '91-79=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
Current State: 14:[45, 47, 91, 79], Operations: []
Exploring Operation: 91-47=44, Resulting Numbers: [45, 79, 44]
Generated Node #0,0: 14:[45, 79, 44] Operation: 91-47=44
Exploring Operation: 79-47=32, Resulting Numbers: [45, 91, 32]
Generated Node #0,1: 14:[45, 91, 32] Operation: 79-47=32
Exploring Operation: 91-79=12, Resulting Numbers: [45, 47, 12]
Generated Node #0,2: 14:[45, 47, 12] Operation: 91-79=12
Moving to Node #0,2
Current State: 14:[45, 47, 12], Operations: ['91-79=12']
Exploring Operation: 47-45=2, Resulting Numbers: [12, 2]
Generated Node #0,2,0: 14:[12, 2] Operation: 47-45=2
Exploring Operation: 47-12=35, Resulting Numbers: [45, 35]
Generated Node #0,2,1: 14:[45, 35] Operation: 47-12=35
Exploring Operation: 45-12=33, Resulting Numbers: [47, 33]
Generated Node #0,2,2: 14:[47, 33] Operation: 45-12=33
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[12, 2], Operations: ['91-79=12', '47-45=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[45, 47, 91, 79], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [45, 47, 12]
Generated Node #0,2: 14:[45, 47, 12] Operation: 91-79=12
Moving to Node #0,2
Current State: 14:[45, 47, 12], Operations: ['91-79=12']
Exploring Operation: 47-45=2, Resulting Numbers: [12, 2]
Generated Node #0,2,0: 14:[12, 2] Operation: 47-45=2
Moving to Node #0,2,0
Current State: 14:[12, 2], Operations: ['91-79=12', '47-45=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
sum_heuristic
|
[
84,
40,
85,
73
] | 33
|
[
"85-84=1",
"73-40=33",
"1*33=33"
] |
Current State: 33:[84, 40, 85, 73], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [40, 73, 1]
Generated Node #2: [40, 73, 1] from Operation: 85-84=1
Current State: 33:[40, 73, 1], Operations: ['85-84=1']
Exploring Operation: 73-40=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 73-40=33
Current State: 33:[1, 33], Operations: ['85-84=1', '73-40=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
Current State: 33:[84, 40, 85, 73], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [40, 73, 1]
Generated Node #0,0: 33:[40, 73, 1] Operation: 85-84=1
Exploring Operation: 84-40=44, Resulting Numbers: [85, 73, 44]
Generated Node #0,1: 33:[85, 73, 44] Operation: 84-40=44
Exploring Operation: 85-73=12, Resulting Numbers: [84, 40, 12]
Generated Node #0,2: 33:[84, 40, 12] Operation: 85-73=12
Exploring Operation: 84-73=11, Resulting Numbers: [40, 85, 11]
Generated Node #0,3: 33:[40, 85, 11] Operation: 84-73=11
Moving to Node #0,0
Current State: 33:[40, 73, 1], Operations: ['85-84=1']
Exploring Operation: 73-1=72, Resulting Numbers: [40, 72]
Generated Node #0,0,0: 33:[40, 72] Operation: 73-1=72
Exploring Operation: 40-1=39, Resulting Numbers: [73, 39]
Generated Node #0,0,1: 33:[73, 39] Operation: 40-1=39
Exploring Operation: 73-40=33, Resulting Numbers: [1, 33]
Generated Node #0,0,2: 33:[1, 33] Operation: 73-40=33
Exploring Operation: 40*1=40, Resulting Numbers: [73, 40]
Generated Node #0,0,3: 33:[73, 40] Operation: 40*1=40
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 33:[1, 33], Operations: ['85-84=1', '73-40=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[84, 40, 85, 73], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [40, 73, 1]
Generated Node #0,0: 33:[40, 73, 1] Operation: 85-84=1
Moving to Node #0,0
Current State: 33:[40, 73, 1], Operations: ['85-84=1']
Exploring Operation: 73-40=33, Resulting Numbers: [1, 33]
Generated Node #0,0,2: 33:[1, 33] Operation: 73-40=33
Moving to Node #0,0,2
Current State: 33:[1, 33], Operations: ['85-84=1', '73-40=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_4
|
sum_heuristic
|
[
56,
63,
70,
79
] | 63
|
[
"63-56=7",
"79-70=9",
"7*9=63"
] |
Current State: 63:[56, 63, 70, 79], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [70, 79, 7]
Generated Node #2: [70, 79, 7] from Operation: 63-56=7
Current State: 63:[70, 79, 7], Operations: ['63-56=7']
Exploring Operation: 79-70=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 79-70=9
Current State: 63:[7, 9], Operations: ['63-56=7', '79-70=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[56, 63, 70, 79], Operations: []
Exploring Operation: 79-70=9, Resulting Numbers: [56, 63, 9]
Generated Node #0,0: 63:[56, 63, 9] Operation: 79-70=9
Exploring Operation: 79-56=23, Resulting Numbers: [63, 70, 23]
Generated Node #0,1: 63:[63, 70, 23] Operation: 79-56=23
Moving to Node #0,0
Current State: 63:[56, 63, 9], Operations: ['79-70=9']
Exploring Operation: 63-56=7, Resulting Numbers: [9, 7]
Generated Node #0,0,0: 63:[9, 7] Operation: 63-56=7
Exploring Operation: 56+9=65, Resulting Numbers: [63, 65]
Generated Node #0,0,1: 63:[63, 65] Operation: 56+9=65
Moving to Node #0,1
Current State: 63:[63, 70, 23], Operations: ['79-56=23']
Exploring Operation: 70-63=7, Resulting Numbers: [23, 7]
Generated Node #0,1,0: 63:[23, 7] Operation: 70-63=7
Exploring Operation: 70-23=47, Resulting Numbers: [63, 47]
Generated Node #0,1,1: 63:[63, 47] Operation: 70-23=47
Moving to Node #0,0,0
Current State: 63:[9, 7], Operations: ['79-70=9', '63-56=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[56, 63, 70, 79], Operations: []
Exploring Operation: 79-70=9, Resulting Numbers: [56, 63, 9]
Generated Node #0,0: 63:[56, 63, 9] Operation: 79-70=9
Moving to Node #0,0
Current State: 63:[56, 63, 9], Operations: ['79-70=9']
Exploring Operation: 63-56=7, Resulting Numbers: [9, 7]
Generated Node #0,0,0: 63:[9, 7] Operation: 63-56=7
Moving to Node #0,0,0
Current State: 63:[9, 7], Operations: ['79-70=9', '63-56=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.989583
|
hs_2
|
mult_heuristic
|
[
75,
63,
3,
96
] | 42
|
[
"96-75=21",
"63/3=21",
"21+21=42"
] |
Current State: 42:[75, 63, 3, 96], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [63, 3, 21]
Generated Node #2: [63, 3, 21] from Operation: 96-75=21
Current State: 42:[63, 3, 21], Operations: ['96-75=21']
Exploring Operation: 63/3=21, Resulting Numbers: [21, 21]
Generated Node #3: [21, 21] from Operation: 63/3=21
Current State: 42:[21, 21], Operations: ['96-75=21', '63/3=21']
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
Current State: 42:[75, 63, 3, 96], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [3, 96, 12]
Generated Node #0,0: 42:[3, 96, 12] Operation: 75-63=12
Exploring Operation: 96-63=33, Resulting Numbers: [75, 3, 33]
Generated Node #0,1: 42:[75, 3, 33] Operation: 96-63=33
Exploring Operation: 96-75=21, Resulting Numbers: [63, 3, 21]
Generated Node #0,2: 42:[63, 3, 21] Operation: 96-75=21
Exploring Operation: 96/3=32, Resulting Numbers: [75, 63, 32]
Generated Node #0,3: 42:[75, 63, 32] Operation: 96/3=32
Moving to Node #0,2
Current State: 42:[63, 3, 21], Operations: ['96-75=21']
Exploring Operation: 63-21=42, Resulting Numbers: [3, 42]
Generated Node #0,2,0: 42:[3, 42] Operation: 63-21=42
Exploring Operation: 63/3=21, Resulting Numbers: [21, 21]
Generated Node #0,2,1: 42:[21, 21] Operation: 63/3=21
Exploring Operation: 63-3=60, Resulting Numbers: [21, 60]
Generated Node #0,2,2: 42:[21, 60] Operation: 63-3=60
Exploring Operation: 63/21=3, Resulting Numbers: [3, 3]
Generated Node #0,2,3: 42:[3, 3] Operation: 63/21=3
Moving to Node #0,1
Current State: 42:[75, 3, 33], Operations: ['96-63=33']
Exploring Operation: 75-3=72, Resulting Numbers: [33, 72]
Generated Node #0,1,0: 42:[33, 72] Operation: 75-3=72
Exploring Operation: 75-33=42, Resulting Numbers: [3, 42]
Generated Node #0,1,1: 42:[3, 42] Operation: 75-33=42
Exploring Operation: 33/3=11, Resulting Numbers: [75, 11]
Generated Node #0,1,2: 42:[75, 11] Operation: 33/3=11
Exploring Operation: 75/3=25, Resulting Numbers: [33, 25]
Generated Node #0,1,3: 42:[33, 25] Operation: 75/3=25
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[3, 42], Operations: ['96-63=33', '75-33=42']
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,42 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,42 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 42:[33, 25], Operations: ['96-63=33', '75/3=25']
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,42 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 42:[75, 11], Operations: ['96-63=33', '33/3=11']
Exploring Operation: 75*11=825, Resulting Numbers: [825]
825,42 unequal: No Solution
Exploring Operation: 75+11=86, Resulting Numbers: [86]
86,42 unequal: No Solution
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[33, 72], Operations: ['96-63=33', '75-3=72']
Exploring Operation: 33+72=105, Resulting Numbers: [105]
105,42 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Exploring Operation: 33*72=2376, Resulting Numbers: [2376]
2376,42 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: 42:[3, 96, 12], Operations: ['75-63=12']
Exploring Operation: 96-12=84, Resulting Numbers: [3, 84]
Generated Node #0,0,0: 42:[3, 84] Operation: 96-12=84
Exploring Operation: 96/3=32, Resulting Numbers: [12, 32]
Generated Node #0,0,1: 42:[12, 32] Operation: 96/3=32
Exploring Operation: 96/12=8, Resulting Numbers: [3, 8]
Generated Node #0,0,2: 42:[3, 8] Operation: 96/12=8
Exploring Operation: 96-3=93, Resulting Numbers: [12, 93]
Generated Node #0,0,3: 42:[12, 93] Operation: 96-3=93
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 42:[3, 8], Operations: ['75-63=12', '96/12=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,42 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[12, 32], Operations: ['75-63=12', '96/3=32']
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,42 unequal: No Solution
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,42 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[3, 84], Operations: ['75-63=12', '96-12=84']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 3*84=252, Resulting Numbers: [252]
252,42 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,42 unequal: No Solution
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 42:[12, 93], Operations: ['75-63=12', '96-3=93']
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,42 unequal: No Solution
Exploring Operation: 12+93=105, Resulting Numbers: [105]
105,42 unequal: No Solution
Exploring Operation: 12*93=1116, Resulting Numbers: [1116]
1116,42 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: 42:[75, 63, 32], Operations: ['96/3=32']
Exploring Operation: 75-32=43, Resulting Numbers: [63, 43]
Generated Node #0,3,0: 42:[63, 43] Operation: 75-32=43
Exploring Operation: 63-32=31, Resulting Numbers: [75, 31]
Generated Node #0,3,1: 42:[75, 31] Operation: 63-32=31
Exploring Operation: 75-63=12, Resulting Numbers: [32, 12]
Generated Node #0,3,2: 42:[32, 12] Operation: 75-63=12
Exploring Operation: 75+32=107, Resulting Numbers: [63, 107]
Generated Node #0,3,3: 42:[63, 107] Operation: 75+32=107
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 42:[32, 12], Operations: ['96/3=32', '75-63=12']
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,42 unequal: No Solution
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,42 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 42:[63, 43], Operations: ['96/3=32', '75-32=43']
Exploring Operation: 63+43=106, Resulting Numbers: [106]
106,42 unequal: No Solution
Exploring Operation: 63*43=2709, Resulting Numbers: [2709]
2709,42 unequal: No Solution
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 42:[75, 31], Operations: ['96/3=32', '63-32=31']
Exploring Operation: 75*31=2325, Resulting Numbers: [2325]
2325,42 unequal: No Solution
Exploring Operation: 75+31=106, Resulting Numbers: [106]
106,42 unequal: No Solution
Exploring Operation: 75-31=44, Resulting Numbers: [44]
44,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 42:[63, 107], Operations: ['96/3=32', '75+32=107']
Exploring Operation: 63*107=6741, Resulting Numbers: [6741]
6741,42 unequal: No Solution
Exploring Operation: 107-63=44, Resulting Numbers: [44]
44,42 unequal: No Solution
Exploring Operation: 63+107=170, Resulting Numbers: [170]
170,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 42:[3, 42], Operations: ['96-75=21', '63-21=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,42 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,42 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,42 unequal: No Solution
Moving to Node #0,2,3
Current State: 42:[3, 3], Operations: ['96-75=21', '63/21=3']
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,42 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[21, 21], Operations: ['96-75=21', '63/3=21']
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,42 unequal: No Solution
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,42 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[75, 63, 3, 96], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [63, 3, 21]
Generated Node #0,2: 42:[63, 3, 21] Operation: 96-75=21
Moving to Node #0,2
Current State: 42:[63, 3, 21], Operations: ['96-75=21']
Exploring Operation: 63/3=21, Resulting Numbers: [21, 21]
Generated Node #0,2,1: 42:[21, 21] Operation: 63/3=21
Moving to Node #0,2,1
Current State: 42:[21, 21], Operations: ['96-75=21', '63/3=21']
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.936632
|
hs_4
|
mult_heuristic
|
[
46,
8,
92,
99
] | 10
|
[
"99-92=7",
"8*7=56",
"56-46=10"
] |
Current State: 10:[46, 8, 92, 99], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [46, 8, 7]
Generated Node #2: [46, 8, 7] from Operation: 99-92=7
Current State: 10:[46, 8, 7], Operations: ['99-92=7']
Exploring Operation: 8*7=56, Resulting Numbers: [46, 56]
Generated Node #3: [46, 56] from Operation: 8*7=56
Current State: 10:[46, 56], Operations: ['99-92=7', '8*7=56']
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[46, 8, 92, 99], Operations: []
Exploring Operation: 92-46=46, Resulting Numbers: [8, 99, 46]
Generated Node #0,0: 10:[8, 99, 46] Operation: 92-46=46
Exploring Operation: 99-92=7, Resulting Numbers: [46, 8, 7]
Generated Node #0,1: 10:[46, 8, 7] Operation: 99-92=7
Exploring Operation: 92/46=2, Resulting Numbers: [8, 99, 2]
Generated Node #0,2: 10:[8, 99, 2] Operation: 92/46=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[46, 8, 7], Operations: ['99-92=7']
Exploring Operation: 8-7=1, Resulting Numbers: [46, 1]
Generated Node #0,1,0: 10:[46, 1] Operation: 8-7=1
Exploring Operation: 46-8=38, Resulting Numbers: [7, 38]
Generated Node #0,1,1: 10:[7, 38] Operation: 46-8=38
Exploring Operation: 46-7=39, Resulting Numbers: [8, 39]
Generated Node #0,1,2: 10:[8, 39] Operation: 46-7=39
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[7, 38], Operations: ['99-92=7', '46-8=38']
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,10 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 10:[8, 39], Operations: ['99-92=7', '46-7=39']
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,10 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,10 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 10:[46, 1], Operations: ['99-92=7', '8-7=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,10 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,10 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,10 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: 10:[8, 99, 2], Operations: ['92/46=2']
Exploring Operation: 8+2=10, Resulting Numbers: [99, 10]
Generated Node #0,2,0: 10:[99, 10] Operation: 8+2=10
Exploring Operation: 99-8=91, Resulting Numbers: [2, 91]
Generated Node #0,2,1: 10:[2, 91] Operation: 99-8=91
Exploring Operation: 99-2=97, Resulting Numbers: [8, 97]
Generated Node #0,2,2: 10:[8, 97] Operation: 99-2=97
Moving to Node #0,2,1
Current State: 10:[2, 91], Operations: ['92/46=2', '99-8=91']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Exploring Operation: 2*91=182, Resulting Numbers: [182]
182,10 unequal: No Solution
Exploring Operation: 2+91=93, Resulting Numbers: [93]
93,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[99, 10], Operations: ['92/46=2', '8+2=10']
Exploring Operation: 99-10=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Exploring Operation: 99*10=990, Resulting Numbers: [990]
990,10 unequal: No Solution
Exploring Operation: 99+10=109, Resulting Numbers: [109]
109,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[8, 97], Operations: ['92/46=2', '99-2=97']
Exploring Operation: 8+97=105, Resulting Numbers: [105]
105,10 unequal: No Solution
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Exploring Operation: 8*97=776, Resulting Numbers: [776]
776,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[8, 99, 46], Operations: ['92-46=46']
Exploring Operation: 99-8=91, Resulting Numbers: [46, 91]
Generated Node #0,0,0: 10:[46, 91] Operation: 99-8=91
Exploring Operation: 46-8=38, Resulting Numbers: [99, 38]
Generated Node #0,0,1: 10:[99, 38] Operation: 46-8=38
Exploring Operation: 99-46=53, Resulting Numbers: [8, 53]
Generated Node #0,0,2: 10:[8, 53] Operation: 99-46=53
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 10:[8, 53], Operations: ['92-46=46', '99-46=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[46, 91], Operations: ['92-46=46', '99-8=91']
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 46*91=4186, Resulting Numbers: [4186]
4186,10 unequal: No Solution
Exploring Operation: 46+91=137, Resulting Numbers: [137]
137,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[99, 38], Operations: ['92-46=46', '46-8=38']
Exploring Operation: 99+38=137, Resulting Numbers: [137]
137,10 unequal: No Solution
Exploring Operation: 99*38=3762, Resulting Numbers: [3762]
3762,10 unequal: No Solution
Exploring Operation: 99-38=61, Resulting Numbers: [61]
61,10 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
|
[
74,
83,
81,
2
] | 99
|
[
"83-74=9",
"2*9=18",
"81+18=99"
] |
Current State: 99:[74, 83, 81, 2], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [81, 2, 9]
Generated Node #2: [81, 2, 9] from Operation: 83-74=9
Current State: 99:[81, 2, 9], Operations: ['83-74=9']
Exploring Operation: 2*9=18, Resulting Numbers: [81, 18]
Generated Node #3: [81, 18] from Operation: 2*9=18
Current State: 99:[81, 18], Operations: ['83-74=9', '2*9=18']
Exploring Operation: 81+18=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
Current State: 99:[74, 83, 81, 2], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [83, 2, 7]
Generated Node #0,0: 99:[83, 2, 7] Operation: 81-74=7
Exploring Operation: 83-81=2, Resulting Numbers: [74, 2, 2]
Generated Node #0,1: 99:[74, 2, 2] Operation: 83-81=2
Exploring Operation: 83-74=9, Resulting Numbers: [81, 2, 9]
Generated Node #0,2: 99:[81, 2, 9] Operation: 83-74=9
Moving to Node #0,0
Current State: 99:[83, 2, 7], Operations: ['81-74=7']
Exploring Operation: 83+7=90, Resulting Numbers: [2, 90]
Generated Node #0,0,0: 99:[2, 90] Operation: 83+7=90
Exploring Operation: 2+7=9, Resulting Numbers: [83, 9]
Generated Node #0,0,1: 99:[83, 9] Operation: 2+7=9
Exploring Operation: 83+2=85, Resulting Numbers: [7, 85]
Generated Node #0,0,2: 99:[7, 85] Operation: 83+2=85
Moving to Node #0,2
Current State: 99:[81, 2, 9], Operations: ['83-74=9']
Exploring Operation: 81+9=90, Resulting Numbers: [2, 90]
Generated Node #0,2,0: 99:[2, 90] Operation: 81+9=90
Exploring Operation: 81+2=83, Resulting Numbers: [9, 83]
Generated Node #0,2,1: 99:[9, 83] Operation: 81+2=83
Exploring Operation: 81/9=9, Resulting Numbers: [2, 9]
Generated Node #0,2,2: 99:[2, 9] Operation: 81/9=9
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[2, 9], Operations: ['83-74=9', '81/9=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,99 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,99 unequal: No Solution
No 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: 99:[2, 90], Operations: ['83-74=9', '81+9=90']
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,99 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,99 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,99 unequal: No Solution
No 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: 99:[9, 83], Operations: ['83-74=9', '81+2=83']
Exploring Operation: 9+83=92, Resulting Numbers: [92]
92,99 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,99 unequal: No Solution
Exploring Operation: 9*83=747, Resulting Numbers: [747]
747,99 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: 99:[74, 2, 2], Operations: ['83-81=2']
Exploring Operation: 74+2=76, Resulting Numbers: [2, 76]
Generated Node #0,1,0: 99:[2, 76] Operation: 74+2=76
Exploring Operation: 74/2=37, Resulting Numbers: [2, 37]
Generated Node #0,1,1: 99:[2, 37] Operation: 74/2=37
Exploring Operation: 74/2=37, Resulting Numbers: [2, 37]
Generated Node #0,1,2: 99:[2, 37] Operation: 74/2=37
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[2, 37], Operations: ['83-81=2', '74/2=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,99 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,99 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,99 unequal: No Solution
No 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: 99:[2, 37], Operations: ['83-81=2', '74/2=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,99 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,99 unequal: No Solution
No 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: 99:[2, 76], Operations: ['83-81=2', '74+2=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,99 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,99 unequal: No Solution
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 99:[2, 90], Operations: ['81-74=7', '83+7=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,99 unequal: No Solution
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,99 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[83, 9], Operations: ['81-74=7', '2+7=9']
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,99 unequal: No Solution
Exploring Operation: 83*9=747, Resulting Numbers: [747]
747,99 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[7, 85], Operations: ['81-74=7', '83+2=85']
Exploring Operation: 7+85=92, Resulting Numbers: [92]
92,99 unequal: No Solution
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,99 unequal: No Solution
Exploring Operation: 7*85=595, Resulting Numbers: [595]
595,99 unequal: No Solution
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
68,
47,
38,
43
] | 34
|
[
"68+47=115",
"38+43=81",
"115-81=34"
] |
Current State: 34:[68, 47, 38, 43], Operations: []
Exploring Operation: 68+47=115, Resulting Numbers: [38, 43, 115]
Generated Node #2: [38, 43, 115] from Operation: 68+47=115
Current State: 34:[38, 43, 115], Operations: ['68+47=115']
Exploring Operation: 38+43=81, Resulting Numbers: [115, 81]
Generated Node #3: [115, 81] from Operation: 38+43=81
Current State: 34:[115, 81], Operations: ['68+47=115', '38+43=81']
Exploring Operation: 115-81=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4
|
Current State: 34:[68, 47, 38, 43], Operations: []
Exploring Operation: 68-47=21, Resulting Numbers: [38, 43, 21]
Generated Node #0,0: 34:[38, 43, 21] Operation: 68-47=21
Exploring Operation: 68-43=25, Resulting Numbers: [47, 38, 25]
Generated Node #0,1: 34:[47, 38, 25] Operation: 68-43=25
Moving to Node #0,0
Current State: 34:[38, 43, 21], Operations: ['68-47=21']
Exploring Operation: 43-38=5, Resulting Numbers: [21, 5]
Generated Node #0,0,0: 34:[21, 5] Operation: 43-38=5
Exploring Operation: 38-21=17, Resulting Numbers: [43, 17]
Generated Node #0,0,1: 34:[43, 17] Operation: 38-21=17
Moving to Node #0,1
Current State: 34:[47, 38, 25], Operations: ['68-43=25']
Exploring Operation: 47-38=9, Resulting Numbers: [25, 9]
Generated Node #0,1,0: 34:[25, 9] Operation: 47-38=9
Exploring Operation: 47-25=22, Resulting Numbers: [38, 22]
Generated Node #0,1,1: 34:[38, 22] Operation: 47-25=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[38, 22], Operations: ['68-43=25', '47-25=22']
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,34 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 #0,1,0
Current State: 34:[25, 9], Operations: ['68-43=25', '47-38=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[68, 47, 38, 43], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [47, 38, 25]
Generated Node #0,1: 34:[47, 38, 25] Operation: 68-43=25
Moving to Node #0,1
Current State: 34:[47, 38, 25], Operations: ['68-43=25']
Exploring Operation: 47-38=9, Resulting Numbers: [25, 9]
Generated Node #0,1,0: 34:[25, 9] Operation: 47-38=9
Moving to Node #0,1,0
Current State: 34:[25, 9], Operations: ['68-43=25', '47-38=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_2
|
sum_heuristic
|
[
60,
92,
21,
52
] | 76
|
[
"60-52=8",
"21*8=168",
"168-92=76"
] |
Current State: 76:[60, 92, 21, 52], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [92, 21, 8]
Generated Node #2: [92, 21, 8] from Operation: 60-52=8
Current State: 76:[92, 21, 8], Operations: ['60-52=8']
Exploring Operation: 21*8=168, Resulting Numbers: [92, 168]
Generated Node #3: [92, 168] from Operation: 21*8=168
Current State: 76:[92, 168], Operations: ['60-52=8', '21*8=168']
Exploring Operation: 168-92=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[60, 92, 21, 52], Operations: []
Exploring Operation: 92-60=32, Resulting Numbers: [21, 52, 32]
Generated Node #0,0: 76:[21, 52, 32] Operation: 92-60=32
Exploring Operation: 92-52=40, Resulting Numbers: [60, 21, 40]
Generated Node #0,1: 76:[60, 21, 40] Operation: 92-52=40
Exploring Operation: 60-52=8, Resulting Numbers: [92, 21, 8]
Generated Node #0,2: 76:[92, 21, 8] Operation: 60-52=8
Moving to Node #0,1
Current State: 76:[60, 21, 40], Operations: ['92-52=40']
Exploring Operation: 60-21=39, Resulting Numbers: [40, 39]
Generated Node #0,1,0: 76:[40, 39] Operation: 60-21=39
Exploring Operation: 60-40=20, Resulting Numbers: [21, 20]
Generated Node #0,1,1: 76:[21, 20] Operation: 60-40=20
Exploring Operation: 60+21=81, Resulting Numbers: [40, 81]
Generated Node #0,1,2: 76:[40, 81] Operation: 60+21=81
Moving to Node #0,0
Current State: 76:[21, 52, 32], Operations: ['92-60=32']
Exploring Operation: 52+32=84, Resulting Numbers: [21, 84]
Generated Node #0,0,0: 76:[21, 84] Operation: 52+32=84
Exploring Operation: 21+52=73, Resulting Numbers: [32, 73]
Generated Node #0,0,1: 76:[32, 73] Operation: 21+52=73
Exploring Operation: 52-32=20, Resulting Numbers: [21, 20]
Generated Node #0,0,2: 76:[21, 20] Operation: 52-32=20
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[21, 20], Operations: ['92-60=32', '52-32=20']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,76 unequal: No Solution
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,76 unequal: No Solution
No 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: 76:[32, 73], Operations: ['92-60=32', '21+52=73']
Exploring Operation: 32+73=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Exploring Operation: 32*73=2336, Resulting Numbers: [2336]
2336,76 unequal: No Solution
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,76 unequal: No Solution
No 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: 76:[21, 84], Operations: ['92-60=32', '52+32=84']
Exploring Operation: 21+84=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,76 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: 76:[92, 21, 8], Operations: ['60-52=8']
Exploring Operation: 92-8=84, Resulting Numbers: [21, 84]
Generated Node #0,2,0: 76:[21, 84] Operation: 92-8=84
Exploring Operation: 92-21=71, Resulting Numbers: [8, 71]
Generated Node #0,2,1: 76:[8, 71] Operation: 92-21=71
Exploring Operation: 21-8=13, Resulting Numbers: [92, 13]
Generated Node #0,2,2: 76:[92, 13] Operation: 21-8=13
Moving to Node #0,1,0
Current State: 76:[40, 39], Operations: ['92-52=40', '60-21=39']
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,76 unequal: No Solution
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[21, 20], Operations: ['92-52=40', '60-40=20']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[40, 81], Operations: ['92-52=40', '60+21=81']
Exploring Operation: 40*81=3240, Resulting Numbers: [3240]
3240,76 unequal: No Solution
Exploring Operation: 40+81=121, Resulting Numbers: [121]
121,76 unequal: No Solution
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[8, 71], Operations: ['60-52=8', '92-21=71']
Exploring Operation: 8*71=568, Resulting Numbers: [568]
568,76 unequal: No Solution
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[21, 84], Operations: ['60-52=8', '92-8=84']
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 21+84=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[92, 13], Operations: ['60-52=8', '21-8=13']
Exploring Operation: 92+13=105, Resulting Numbers: [105]
105,76 unequal: No Solution
Exploring Operation: 92*13=1196, Resulting Numbers: [1196]
1196,76 unequal: No Solution
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,76 unequal: No Solution
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
41,
87,
79,
64
] | 49
|
[
"87-79=8",
"64/8=8",
"41+8=49"
] |
Current State: 49:[41, 87, 79, 64], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [41, 64, 8]
Generated Node #2: [41, 64, 8] from Operation: 87-79=8
Current State: 49:[41, 64, 8], Operations: ['87-79=8']
Exploring Operation: 64/8=8, Resulting Numbers: [41, 8]
Generated Node #3: [41, 8] from Operation: 64/8=8
Current State: 49:[41, 8], Operations: ['87-79=8', '64/8=8']
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[41, 87, 79, 64], Operations: []
Exploring Operation: 87-41=46, Resulting Numbers: [79, 64, 46]
Generated Node #0,0: 49:[79, 64, 46] Operation: 87-41=46
Exploring Operation: 79-64=15, Resulting Numbers: [41, 87, 15]
Generated Node #0,1: 49:[41, 87, 15] Operation: 79-64=15
Exploring Operation: 87-79=8, Resulting Numbers: [41, 64, 8]
Generated Node #0,2: 49:[41, 64, 8] Operation: 87-79=8
Exploring Operation: 87-64=23, Resulting Numbers: [41, 79, 23]
Generated Node #0,3: 49:[41, 79, 23] Operation: 87-64=23
Moving to Node #0,2
Current State: 49:[41, 64, 8], Operations: ['87-79=8']
Exploring Operation: 64-41=23, Resulting Numbers: [8, 23]
Generated Node #0,2,0: 49:[8, 23] Operation: 64-41=23
Exploring Operation: 64-8=56, Resulting Numbers: [41, 56]
Generated Node #0,2,1: 49:[41, 56] Operation: 64-8=56
Exploring Operation: 64/8=8, Resulting Numbers: [41, 8]
Generated Node #0,2,2: 49:[41, 8] Operation: 64/8=8
Exploring Operation: 41+8=49, Resulting Numbers: [64, 49]
Generated Node #0,2,3: 49:[64, 49] Operation: 41+8=49
Moving to Node #0,0
Current State: 49:[79, 64, 46], Operations: ['87-41=46']
Exploring Operation: 64-46=18, Resulting Numbers: [79, 18]
Generated Node #0,0,0: 49:[79, 18] Operation: 64-46=18
Exploring Operation: 79-64=15, Resulting Numbers: [46, 15]
Generated Node #0,0,1: 49:[46, 15] Operation: 79-64=15
Exploring Operation: 79-46=33, Resulting Numbers: [64, 33]
Generated Node #0,0,2: 49:[64, 33] Operation: 79-46=33
Exploring Operation: 79+46=125, Resulting Numbers: [64, 125]
Generated Node #0,0,3: 49:[64, 125] Operation: 79+46=125
Moving to Node #0,3
Current State: 49:[41, 79, 23], Operations: ['87-64=23']
Exploring Operation: 41+23=64, Resulting Numbers: [79, 64]
Generated Node #0,3,0: 49:[79, 64] Operation: 41+23=64
Exploring Operation: 41-23=18, Resulting Numbers: [79, 18]
Generated Node #0,3,1: 49:[79, 18] Operation: 41-23=18
Exploring Operation: 79-23=56, Resulting Numbers: [41, 56]
Generated Node #0,3,2: 49:[41, 56] Operation: 79-23=56
Exploring Operation: 79-41=38, Resulting Numbers: [23, 38]
Generated Node #0,3,3: 49:[23, 38] Operation: 79-41=38
Moving to Node #0,1
Current State: 49:[41, 87, 15], Operations: ['79-64=15']
Exploring Operation: 87-41=46, Resulting Numbers: [15, 46]
Generated Node #0,1,0: 49:[15, 46] Operation: 87-41=46
Exploring Operation: 41+15=56, Resulting Numbers: [87, 56]
Generated Node #0,1,1: 49:[87, 56] Operation: 41+15=56
Exploring Operation: 87-15=72, Resulting Numbers: [41, 72]
Generated Node #0,1,2: 49:[41, 72] Operation: 87-15=72
Exploring Operation: 41-15=26, Resulting Numbers: [87, 26]
Generated Node #0,1,3: 49:[87, 26] Operation: 41-15=26
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 49:[15, 46], Operations: ['79-64=15', '87-41=46']
Exploring Operation: 15+46=61, Resulting Numbers: [61]
61,49 unequal: No Solution
Exploring Operation: 15*46=690, Resulting Numbers: [690]
690,49 unequal: No Solution
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 49:[41, 72], Operations: ['79-64=15', '87-15=72']
Exploring Operation: 41*72=2952, Resulting Numbers: [2952]
2952,49 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,49 unequal: No Solution
Exploring Operation: 41+72=113, Resulting Numbers: [113]
113,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[87, 56], Operations: ['79-64=15', '41+15=56']
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,49 unequal: No Solution
Exploring Operation: 87*56=4872, Resulting Numbers: [4872]
4872,49 unequal: No Solution
Exploring Operation: 87+56=143, Resulting Numbers: [143]
143,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 49:[87, 26], Operations: ['79-64=15', '41-15=26']
Exploring Operation: 87*26=2262, Resulting Numbers: [2262]
2262,49 unequal: No Solution
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,49 unequal: No Solution
Exploring Operation: 87+26=113, Resulting Numbers: [113]
113,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 49:[41, 8], Operations: ['87-79=8', '64/8=8']
Exploring Operation: 41*8=328, Resulting Numbers: [328]
328,49 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[41, 87, 79, 64], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [41, 64, 8]
Generated Node #0,2: 49:[41, 64, 8] Operation: 87-79=8
Moving to Node #0,2
Current State: 49:[41, 64, 8], Operations: ['87-79=8']
Exploring Operation: 64/8=8, Resulting Numbers: [41, 8]
Generated Node #0,2,2: 49:[41, 8] Operation: 64/8=8
Moving to Node #0,2,2
Current State: 49:[41, 8], Operations: ['87-79=8', '64/8=8']
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.966146
|
hs_4
|
mult_heuristic
|
[
98,
57,
80,
66
] | 64
|
[
"80-66=14",
"98/14=7",
"57+7=64"
] |
Current State: 64:[98, 57, 80, 66], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [98, 57, 14]
Generated Node #2: [98, 57, 14] from Operation: 80-66=14
Current State: 64:[98, 57, 14], Operations: ['80-66=14']
Exploring Operation: 98/14=7, Resulting Numbers: [57, 7]
Generated Node #3: [57, 7] from Operation: 98/14=7
Current State: 64:[57, 7], Operations: ['80-66=14', '98/14=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[98, 57, 80, 66], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [57, 80, 32]
Generated Node #0,0: 64:[57, 80, 32] Operation: 98-66=32
Exploring Operation: 98-57=41, Resulting Numbers: [80, 66, 41]
Generated Node #0,1: 64:[80, 66, 41] Operation: 98-57=41
Exploring Operation: 98-80=18, Resulting Numbers: [57, 66, 18]
Generated Node #0,2: 64:[57, 66, 18] Operation: 98-80=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[57, 66, 18], Operations: ['98-80=18']
Exploring Operation: 57-18=39, Resulting Numbers: [66, 39]
Generated Node #0,2,0: 64:[66, 39] Operation: 57-18=39
Exploring Operation: 57+18=75, Resulting Numbers: [66, 75]
Generated Node #0,2,1: 64:[66, 75] Operation: 57+18=75
Exploring Operation: 66-57=9, Resulting Numbers: [18, 9]
Generated Node #0,2,2: 64:[18, 9] Operation: 66-57=9
Moving to Node #0,2,2
Current State: 64:[18, 9], Operations: ['98-80=18', '66-57=9']
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[66, 39], Operations: ['98-80=18', '57-18=39']
Exploring Operation: 66+39=105, Resulting Numbers: [105]
105,64 unequal: No Solution
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 66*39=2574, Resulting Numbers: [2574]
2574,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[66, 75], Operations: ['98-80=18', '57+18=75']
Exploring Operation: 66*75=4950, Resulting Numbers: [4950]
4950,64 unequal: No Solution
Exploring Operation: 66+75=141, Resulting Numbers: [141]
141,64 unequal: No Solution
Exploring Operation: 75-66=9, Resulting Numbers: [9]
9,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[57, 80, 32], Operations: ['98-66=32']
Exploring Operation: 57-32=25, Resulting Numbers: [80, 25]
Generated Node #0,0,0: 64:[80, 25] Operation: 57-32=25
Exploring Operation: 80-32=48, Resulting Numbers: [57, 48]
Generated Node #0,0,1: 64:[57, 48] Operation: 80-32=48
Exploring Operation: 80-57=23, Resulting Numbers: [32, 23]
Generated Node #0,0,2: 64:[32, 23] Operation: 80-57=23
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 64:[32, 23], Operations: ['98-66=32', '80-57=23']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,64 unequal: No Solution
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[80, 25], Operations: ['98-66=32', '57-32=25']
Exploring Operation: 80+25=105, Resulting Numbers: [105]
105,64 unequal: No Solution
Exploring Operation: 80*25=2000, Resulting Numbers: [2000]
2000,64 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[57, 48], Operations: ['98-66=32', '80-32=48']
Exploring Operation: 57*48=2736, Resulting Numbers: [2736]
2736,64 unequal: No Solution
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 57+48=105, Resulting Numbers: [105]
105,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[80, 66, 41], Operations: ['98-57=41']
Exploring Operation: 80-66=14, Resulting Numbers: [41, 14]
Generated Node #0,1,0: 64:[41, 14] Operation: 80-66=14
Exploring Operation: 80-41=39, Resulting Numbers: [66, 39]
Generated Node #0,1,1: 64:[66, 39] Operation: 80-41=39
Exploring Operation: 66-41=25, Resulting Numbers: [80, 25]
Generated Node #0,1,2: 64:[80, 25] Operation: 66-41=25
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[66, 39], Operations: ['98-57=41', '80-41=39']
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 66*39=2574, Resulting Numbers: [2574]
2574,64 unequal: No Solution
Exploring Operation: 66+39=105, Resulting Numbers: [105]
105,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[41, 14], Operations: ['98-57=41', '80-66=14']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 41*14=574, Resulting Numbers: [574]
574,64 unequal: No Solution
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 64:[80, 25], Operations: ['98-57=41', '66-41=25']
Exploring Operation: 80*25=2000, Resulting Numbers: [2000]
2000,64 unequal: No Solution
Exploring Operation: 80+25=105, Resulting Numbers: [105]
105,64 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
11,
53,
39,
8
] | 24
|
[
"53-11=42",
"42-39=3",
"8*3=24"
] |
Current State: 24:[11, 53, 39, 8], Operations: []
Exploring Operation: 53-11=42, Resulting Numbers: [39, 8, 42]
Generated Node #2: [39, 8, 42] from Operation: 53-11=42
Current State: 24:[39, 8, 42], Operations: ['53-11=42']
Exploring Operation: 42-39=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 42-39=3
Current State: 24:[8, 3], Operations: ['53-11=42', '42-39=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[11, 53, 39, 8], Operations: []
Exploring Operation: 53-8=45, Resulting Numbers: [11, 39, 45]
Generated Node #0,0: 24:[11, 39, 45] Operation: 53-8=45
Exploring Operation: 53-39=14, Resulting Numbers: [11, 8, 14]
Generated Node #0,1: 24:[11, 8, 14] Operation: 53-39=14
Exploring Operation: 39-11=28, Resulting Numbers: [53, 8, 28]
Generated Node #0,2: 24:[53, 8, 28] Operation: 39-11=28
Exploring Operation: 53-11=42, Resulting Numbers: [39, 8, 42]
Generated Node #0,3: 24:[39, 8, 42] Operation: 53-11=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[11, 8, 14], Operations: ['53-39=14']
Exploring Operation: 11+14=25, Resulting Numbers: [8, 25]
Generated Node #0,1,0: 24:[8, 25] Operation: 11+14=25
Exploring Operation: 14-11=3, Resulting Numbers: [8, 3]
Generated Node #0,1,1: 24:[8, 3] Operation: 14-11=3
Exploring Operation: 14-8=6, Resulting Numbers: [11, 6]
Generated Node #0,1,2: 24:[11, 6] Operation: 14-8=6
Exploring Operation: 11-8=3, Resulting Numbers: [14, 3]
Generated Node #0,1,3: 24:[14, 3] Operation: 11-8=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 24:[8, 3], Operations: ['53-39=14', '14-11=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[11, 53, 39, 8], Operations: []
Exploring Operation: 53-39=14, Resulting Numbers: [11, 8, 14]
Generated Node #0,1: 24:[11, 8, 14] Operation: 53-39=14
Moving to Node #0,1
Current State: 24:[11, 8, 14], Operations: ['53-39=14']
Exploring Operation: 14-11=3, Resulting Numbers: [8, 3]
Generated Node #0,1,1: 24:[8, 3] Operation: 14-11=3
Moving to Node #0,1,1
Current State: 24:[8, 3], Operations: ['53-39=14', '14-11=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
sum_heuristic
|
[
83,
61,
1,
14
] | 37
|
[
"83-61=22",
"1+14=15",
"22+15=37"
] |
Current State: 37:[83, 61, 1, 14], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [1, 14, 22]
Generated Node #2: [1, 14, 22] from Operation: 83-61=22
Current State: 37:[1, 14, 22], Operations: ['83-61=22']
Exploring Operation: 1+14=15, Resulting Numbers: [22, 15]
Generated Node #3: [22, 15] from Operation: 1+14=15
Current State: 37:[22, 15], Operations: ['83-61=22', '1+14=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[83, 61, 1, 14], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [1, 14, 22]
Generated Node #0,0: 37:[1, 14, 22] Operation: 83-61=22
Moving to Node #0,0
Current State: 37:[1, 14, 22], Operations: ['83-61=22']
Exploring Operation: 1+14=15, Resulting Numbers: [22, 15]
Generated Node #0,0,0: 37:[22, 15] Operation: 1+14=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[22, 15], Operations: ['83-61=22', '1+14=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[83, 61, 1, 14], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [1, 14, 22]
Generated Node #0,0: 37:[1, 14, 22] Operation: 83-61=22
Moving to Node #0,0
Current State: 37:[1, 14, 22], Operations: ['83-61=22']
Exploring Operation: 1+14=15, Resulting Numbers: [22, 15]
Generated Node #0,0,0: 37:[22, 15] Operation: 1+14=15
Moving to Node #0,0,0
Current State: 37:[22, 15], Operations: ['83-61=22', '1+14=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
82,
43,
90,
41
] | 92
|
[
"82-43=39",
"90+41=131",
"131-39=92"
] |
Current State: 92:[82, 43, 90, 41], Operations: []
Exploring Operation: 82-43=39, Resulting Numbers: [90, 41, 39]
Generated Node #2: [90, 41, 39] from Operation: 82-43=39
Current State: 92:[90, 41, 39], Operations: ['82-43=39']
Exploring Operation: 90+41=131, Resulting Numbers: [39, 131]
Generated Node #3: [39, 131] from Operation: 90+41=131
Current State: 92:[39, 131], Operations: ['82-43=39', '90+41=131']
Exploring Operation: 131-39=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[82, 43, 90, 41], Operations: []
Exploring Operation: 90-82=8, Resulting Numbers: [43, 41, 8]
Generated Node #0,0: 92:[43, 41, 8] Operation: 90-82=8
Exploring Operation: 82/41=2, Resulting Numbers: [43, 90, 2]
Generated Node #0,1: 92:[43, 90, 2] Operation: 82/41=2
Exploring Operation: 82-41=41, Resulting Numbers: [43, 90, 41]
Generated Node #0,2: 92:[43, 90, 41] Operation: 82-41=41
Moving to Node #0,1
Current State: 92:[43, 90, 2], Operations: ['82/41=2']
Exploring Operation: 90-43=47, Resulting Numbers: [2, 47]
Generated Node #0,1,0: 92:[2, 47] Operation: 90-43=47
Exploring Operation: 43+2=45, Resulting Numbers: [90, 45]
Generated Node #0,1,1: 92:[90, 45] Operation: 43+2=45
Exploring Operation: 90+2=92, Resulting Numbers: [43, 92]
Generated Node #0,1,2: 92:[43, 92] Operation: 90+2=92
Moving to Node #0,2
Current State: 92:[43, 90, 41], Operations: ['82-41=41']
Exploring Operation: 90-41=49, Resulting Numbers: [43, 49]
Generated Node #0,2,0: 92:[43, 49] Operation: 90-41=49
Exploring Operation: 43-41=2, Resulting Numbers: [90, 2]
Generated Node #0,2,1: 92:[90, 2] Operation: 43-41=2
Exploring Operation: 90-43=47, Resulting Numbers: [41, 47]
Generated Node #0,2,2: 92:[41, 47] Operation: 90-43=47
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 92:[90, 2], Operations: ['82-41=41', '43-41=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[82, 43, 90, 41], Operations: []
Exploring Operation: 82-41=41, Resulting Numbers: [43, 90, 41]
Generated Node #0,2: 92:[43, 90, 41] Operation: 82-41=41
Moving to Node #0,2
Current State: 92:[43, 90, 41], Operations: ['82-41=41']
Exploring Operation: 43-41=2, Resulting Numbers: [90, 2]
Generated Node #0,2,1: 92:[90, 2] Operation: 43-41=2
Moving to Node #0,2,1
Current State: 92:[90, 2], Operations: ['82-41=41', '43-41=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_3
|
mult_heuristic
|
[
6,
87,
5,
21
] | 77
|
[
"6+87=93",
"21-5=16",
"93-16=77"
] |
Current State: 77:[6, 87, 5, 21], Operations: []
Exploring Operation: 6+87=93, Resulting Numbers: [5, 21, 93]
Generated Node #2: [5, 21, 93] from Operation: 6+87=93
Current State: 77:[5, 21, 93], Operations: ['6+87=93']
Exploring Operation: 21-5=16, Resulting Numbers: [93, 16]
Generated Node #3: [93, 16] from Operation: 21-5=16
Current State: 77:[93, 16], Operations: ['6+87=93', '21-5=16']
Exploring Operation: 93-16=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[6, 87, 5, 21], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [6, 5, 66]
Generated Node #0,0: 77:[6, 5, 66] Operation: 87-21=66
Moving to Node #0,0
Current State: 77:[6, 5, 66], Operations: ['87-21=66']
Exploring Operation: 66/6=11, Resulting Numbers: [5, 11]
Generated Node #0,0,0: 77:[5, 11] Operation: 66/6=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[5, 11], Operations: ['87-21=66', '66/6=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
17,
69,
33,
2
] | 35
|
[
"69-33=36",
"36/2=18",
"17+18=35"
] |
Current State: 35:[17, 69, 33, 2], Operations: []
Exploring Operation: 69-33=36, Resulting Numbers: [17, 2, 36]
Generated Node #2: [17, 2, 36] from Operation: 69-33=36
Current State: 35:[17, 2, 36], Operations: ['69-33=36']
Exploring Operation: 36/2=18, Resulting Numbers: [17, 18]
Generated Node #3: [17, 18] from Operation: 36/2=18
Current State: 35:[17, 18], Operations: ['69-33=36', '36/2=18']
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[17, 69, 33, 2], Operations: []
Exploring Operation: 69-17=52, Resulting Numbers: [33, 2, 52]
Generated Node #0,0: 35:[33, 2, 52] Operation: 69-17=52
Exploring Operation: 69-33=36, Resulting Numbers: [17, 2, 36]
Generated Node #0,1: 35:[17, 2, 36] Operation: 69-33=36
Moving to Node #0,1
Current State: 35:[17, 2, 36], Operations: ['69-33=36']
Exploring Operation: 17*2=34, Resulting Numbers: [36, 34]
Generated Node #0,1,0: 35:[36, 34] Operation: 17*2=34
Exploring Operation: 17-2=15, Resulting Numbers: [36, 15]
Generated Node #0,1,1: 35:[36, 15] Operation: 17-2=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[36, 34], Operations: ['69-33=36', '17*2=34']
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,35 unequal: No Solution
Exploring Operation: 36-34=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 #0,1,1
Current State: 35:[36, 15], Operations: ['69-33=36', '17-2=15']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,35 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: 35:[33, 2, 52], Operations: ['69-17=52']
Exploring Operation: 52/2=26, Resulting Numbers: [33, 26]
Generated Node #0,0,0: 35:[33, 26] Operation: 52/2=26
Exploring Operation: 52-33=19, Resulting Numbers: [2, 19]
Generated Node #0,0,1: 35:[2, 19] Operation: 52-33=19
Moving to Node #0,0,0
Current State: 35:[33, 26], Operations: ['69-17=52', '52/2=26']
Exploring Operation: 33+26=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[2, 19], Operations: ['69-17=52', '52-33=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,35 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
93,
10,
5,
75
] | 90
|
[
"93-75=18",
"10-5=5",
"18*5=90"
] |
Current State: 90:[93, 10, 5, 75], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [10, 5, 18]
Generated Node #2: [10, 5, 18] from Operation: 93-75=18
Current State: 90:[10, 5, 18], Operations: ['93-75=18']
Exploring Operation: 10-5=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 10-5=5
Current State: 90:[18, 5], Operations: ['93-75=18', '10-5=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
Current State: 90:[93, 10, 5, 75], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [93, 10, 15]
Generated Node #0,0: 90:[93, 10, 15] Operation: 75/5=15
Exploring Operation: 93-75=18, Resulting Numbers: [10, 5, 18]
Generated Node #0,1: 90:[10, 5, 18] Operation: 93-75=18
Exploring Operation: 5+75=80, Resulting Numbers: [93, 10, 80]
Generated Node #0,2: 90:[93, 10, 80] Operation: 5+75=80
Exploring Operation: 10+75=85, Resulting Numbers: [93, 5, 85]
Generated Node #0,3: 90:[93, 5, 85] Operation: 10+75=85
Moving to Node #0,1
Current State: 90:[10, 5, 18], Operations: ['93-75=18']
Exploring Operation: 10/5=2, Resulting Numbers: [18, 2]
Generated Node #0,1,0: 90:[18, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [18, 5]
Generated Node #0,1,1: 90:[18, 5] Operation: 10-5=5
Exploring Operation: 5*18=90, Resulting Numbers: [10, 90]
Generated Node #0,1,2: 90:[10, 90] Operation: 5*18=90
Exploring Operation: 10+5=15, Resulting Numbers: [18, 15]
Generated Node #0,1,3: 90:[18, 15] Operation: 10+5=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[18, 2], Operations: ['93-75=18', '10/5=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,90 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,90 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:[18, 5], Operations: ['93-75=18', '10-5=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[93, 10, 5, 75], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [10, 5, 18]
Generated Node #0,1: 90:[10, 5, 18] Operation: 93-75=18
Moving to Node #0,1
Current State: 90:[10, 5, 18], Operations: ['93-75=18']
Exploring Operation: 10-5=5, Resulting Numbers: [18, 5]
Generated Node #0,1,1: 90:[18, 5] Operation: 10-5=5
Moving to Node #0,1,1
Current State: 90:[18, 5], Operations: ['93-75=18', '10-5=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375
|
hs_4
|
mult_heuristic
|
[
75,
20,
75,
86
] | 86
|
[
"75-75=0",
"20*0=0",
"86+0=86"
] |
Current State: 86:[75, 20, 75, 86], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [20, 86, 0]
Generated Node #2: [20, 86, 0] from Operation: 75-75=0
Current State: 86:[20, 86, 0], Operations: ['75-75=0']
Exploring Operation: 20*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 20*0=0
Current State: 86:[86, 0], Operations: ['75-75=0', '20*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[75, 20, 75, 86], Operations: []
Exploring Operation: 75/75=1, Resulting Numbers: [20, 86, 1]
Generated Node #0,0: 86:[20, 86, 1] Operation: 75/75=1
Exploring Operation: 75+20=95, Resulting Numbers: [75, 86, 95]
Generated Node #0,1: 86:[75, 86, 95] Operation: 75+20=95
Exploring Operation: 75-75=0, Resulting Numbers: [20, 86, 0]
Generated Node #0,2: 86:[20, 86, 0] Operation: 75-75=0
Moving to Node #0,0
Current State: 86:[20, 86, 1], Operations: ['75/75=1']
Exploring Operation: 20*1=20, Resulting Numbers: [86, 20]
Generated Node #0,0,0: 86:[86, 20] Operation: 20*1=20
Exploring Operation: 20/1=20, Resulting Numbers: [86, 20]
Generated Node #0,0,1: 86:[86, 20] Operation: 20/1=20
Exploring Operation: 20-1=19, Resulting Numbers: [86, 19]
Generated Node #0,0,2: 86:[86, 19] Operation: 20-1=19
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[86, 19], Operations: ['75/75=1', '20-1=19']
Exploring Operation: 86*19=1634, Resulting Numbers: [1634]
1634,86 unequal: No Solution
Exploring Operation: 86+19=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[86, 20], Operations: ['75/75=1', '20*1=20']
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,86 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,86 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[86, 20], Operations: ['75/75=1', '20/1=20']
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,86 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 86:[75, 86, 95], Operations: ['75+20=95']
Exploring Operation: 95-86=9, Resulting Numbers: [75, 9]
Generated Node #0,1,0: 86:[75, 9] Operation: 95-86=9
Exploring Operation: 95-75=20, Resulting Numbers: [86, 20]
Generated Node #0,1,1: 86:[86, 20] Operation: 95-75=20
Exploring Operation: 86-75=11, Resulting Numbers: [95, 11]
Generated Node #0,1,2: 86:[95, 11] Operation: 86-75=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[75, 9], Operations: ['75+20=95', '95-86=9']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 75*9=675, Resulting Numbers: [675]
675,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[86, 20], Operations: ['75+20=95', '95-75=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,86 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,86 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 #0,1,2
Current State: 86:[95, 11], Operations: ['75+20=95', '86-75=11']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 95+11=106, Resulting Numbers: [106]
106,86 unequal: No Solution
Exploring Operation: 95*11=1045, Resulting Numbers: [1045]
1045,86 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: 86:[20, 86, 0], Operations: ['75-75=0']
Exploring Operation: 20+0=20, Resulting Numbers: [86, 20]
Generated Node #0,2,0: 86:[86, 20] Operation: 20+0=20
Exploring Operation: 20-0=20, Resulting Numbers: [86, 20]
Generated Node #0,2,1: 86:[86, 20] Operation: 20-0=20
Exploring Operation: 20*0=0, Resulting Numbers: [86, 0]
Generated Node #0,2,2: 86:[86, 0] Operation: 20*0=0
Moving to Node #0,2,2
Current State: 86:[86, 0], Operations: ['75-75=0', '20*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[75, 20, 75, 86], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [20, 86, 0]
Generated Node #0,2: 86:[20, 86, 0] Operation: 75-75=0
Moving to Node #0,2
Current State: 86:[20, 86, 0], Operations: ['75-75=0']
Exploring Operation: 20*0=0, Resulting Numbers: [86, 0]
Generated Node #0,2,2: 86:[86, 0] Operation: 20*0=0
Moving to Node #0,2,2
Current State: 86:[86, 0], Operations: ['75-75=0', '20*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.969618
|
hs_3
|
mult_heuristic
|
[
58,
71,
19,
84
] | 14
|
[
"71-58=13",
"19-13=6",
"84/6=14"
] |
Current State: 14:[58, 71, 19, 84], Operations: []
Exploring Operation: 71-58=13, Resulting Numbers: [19, 84, 13]
Generated Node #2: [19, 84, 13] from Operation: 71-58=13
Current State: 14:[19, 84, 13], Operations: ['71-58=13']
Exploring Operation: 19-13=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 19-13=6
Current State: 14:[84, 6], Operations: ['71-58=13', '19-13=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
Current State: 14:[58, 71, 19, 84], Operations: []
Exploring Operation: 71-58=13, Resulting Numbers: [19, 84, 13]
Generated Node #0,0: 14:[19, 84, 13] Operation: 71-58=13
Exploring Operation: 84-71=13, Resulting Numbers: [58, 19, 13]
Generated Node #0,1: 14:[58, 19, 13] Operation: 84-71=13
Exploring Operation: 84-58=26, Resulting Numbers: [71, 19, 26]
Generated Node #0,2: 14:[71, 19, 26] Operation: 84-58=26
Exploring Operation: 58-19=39, Resulting Numbers: [71, 84, 39]
Generated Node #0,3: 14:[71, 84, 39] Operation: 58-19=39
Exploring Operation: 71-19=52, Resulting Numbers: [58, 84, 52]
Generated Node #0,4: 14:[58, 84, 52] Operation: 71-19=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[58, 19, 13], Operations: ['84-71=13']
Exploring Operation: 19+13=32, Resulting Numbers: [58, 32]
Generated Node #0,1,0: 14:[58, 32] Operation: 19+13=32
Exploring Operation: 19-13=6, Resulting Numbers: [58, 6]
Generated Node #0,1,1: 14:[58, 6] Operation: 19-13=6
Exploring Operation: 58-19=39, Resulting Numbers: [13, 39]
Generated Node #0,1,2: 14:[13, 39] Operation: 58-19=39
Exploring Operation: 58-13=45, Resulting Numbers: [19, 45]
Generated Node #0,1,3: 14:[19, 45] Operation: 58-13=45
Exploring Operation: 58+13=71, Resulting Numbers: [19, 71]
Generated Node #0,1,4: 14:[19, 71] Operation: 58+13=71
Moving to Node #0,1,2
Current State: 14:[13, 39], Operations: ['84-71=13', '58-19=39']
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 13*39=507, Resulting Numbers: [507]
507,14 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Moving to Node #0,1,3
Current State: 14:[19, 45], Operations: ['84-71=13', '58-13=45']
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,14 unequal: No Solution
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,14 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[58, 6], Operations: ['84-71=13', '19-13=6']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,14 unequal: No Solution
Exploring Operation: 58*6=348, Resulting Numbers: [348]
348,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[58, 32], Operations: ['84-71=13', '19+13=32']
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,14 unequal: No Solution
Exploring Operation: 58*32=1856, Resulting Numbers: [1856]
1856,14 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Moving to Node #0,1,4
Current State: 14:[19, 71], Operations: ['84-71=13', '58+13=71']
Exploring Operation: 19*71=1349, Resulting Numbers: [1349]
1349,14 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 19+71=90, Resulting Numbers: [90]
90,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[71, 19, 26], Operations: ['84-58=26']
Exploring Operation: 26-19=7, Resulting Numbers: [71, 7]
Generated Node #0,2,0: 14:[71, 7] Operation: 26-19=7
Exploring Operation: 71+19=90, Resulting Numbers: [26, 90]
Generated Node #0,2,1: 14:[26, 90] Operation: 71+19=90
Exploring Operation: 71-26=45, Resulting Numbers: [19, 45]
Generated Node #0,2,2: 14:[19, 45] Operation: 71-26=45
Exploring Operation: 71-19=52, Resulting Numbers: [26, 52]
Generated Node #0,2,3: 14:[26, 52] Operation: 71-19=52
Exploring Operation: 71+26=97, Resulting Numbers: [19, 97]
Generated Node #0,2,4: 14:[19, 97] Operation: 71+26=97
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 14:[19, 45], Operations: ['84-58=26', '71-26=45']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,14 unequal: No Solution
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,14 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 #0,2,3
Current State: 14:[26, 52], Operations: ['84-58=26', '71-19=52']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 26+52=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 26*52=1352, Resulting Numbers: [1352]
1352,14 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 #0,2,0
Current State: 14:[71, 7], Operations: ['84-58=26', '26-19=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,14 unequal: No Solution
Exploring Operation: 71*7=497, Resulting Numbers: [497]
497,14 unequal: No Solution
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,14 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 #0,2,1
Current State: 14:[26, 90], Operations: ['84-58=26', '71+19=90']
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,14 unequal: No Solution
Exploring Operation: 26+90=116, Resulting Numbers: [116]
116,14 unequal: No Solution
Exploring Operation: 26*90=2340, Resulting Numbers: [2340]
2340,14 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 #0,2,4
Current State: 14:[19, 97], Operations: ['84-58=26', '71+26=97']
Exploring Operation: 19+97=116, Resulting Numbers: [116]
116,14 unequal: No Solution
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Exploring Operation: 19*97=1843, Resulting Numbers: [1843]
1843,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[19, 84, 13], Operations: ['71-58=13']
Exploring Operation: 84-19=65, Resulting Numbers: [13, 65]
Generated Node #0,0,0: 14:[13, 65] Operation: 84-19=65
Exploring Operation: 84+13=97, Resulting Numbers: [19, 97]
Generated Node #0,0,1: 14:[19, 97] Operation: 84+13=97
Exploring Operation: 84-13=71, Resulting Numbers: [19, 71]
Generated Node #0,0,2: 14:[19, 71] Operation: 84-13=71
Exploring Operation: 19+13=32, Resulting Numbers: [84, 32]
Generated Node #0,0,3: 14:[84, 32] Operation: 19+13=32
Exploring Operation: 19-13=6, Resulting Numbers: [84, 6]
Generated Node #0,0,4: 14:[84, 6] Operation: 19-13=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[13, 65], Operations: ['71-58=13', '84-19=65']
Exploring Operation: 13*65=845, Resulting Numbers: [845]
845,14 unequal: No Solution
Exploring Operation: 65/13=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 65-13=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 13+65=78, Resulting Numbers: [78]
78,14 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:[19, 71], Operations: ['71-58=13', '84-13=71']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 19*71=1349, Resulting Numbers: [1349]
1349,14 unequal: No Solution
Exploring Operation: 19+71=90, Resulting Numbers: [90]
90,14 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 #0,0,4
Current State: 14:[84, 6], Operations: ['71-58=13', '19-13=6']
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Exploring Operation: 84*6=504, Resulting Numbers: [504]
504,14 unequal: No Solution
Exploring Operation: 84+6=90, Resulting Numbers: [90]
90,14 unequal: No Solution
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[58, 71, 19, 84], Operations: []
Exploring Operation: 71-58=13, Resulting Numbers: [19, 84, 13]
Generated Node #0,0: 14:[19, 84, 13] Operation: 71-58=13
Moving to Node #0,0
Current State: 14:[19, 84, 13], Operations: ['71-58=13']
Exploring Operation: 19-13=6, Resulting Numbers: [84, 6]
Generated Node #0,0,4: 14:[84, 6] Operation: 19-13=6
Moving to Node #0,0,4
Current State: 14:[84, 6], Operations: ['71-58=13', '19-13=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.94184
|
hs_5
|
mult_heuristic
|
[
78,
44,
36,
2
] | 31
|
[
"78/2=39",
"44-36=8",
"39-8=31"
] |
Current State: 31:[78, 44, 36, 2], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [44, 36, 39]
Generated Node #2: [44, 36, 39] from Operation: 78/2=39
Current State: 31:[44, 36, 39], Operations: ['78/2=39']
Exploring Operation: 44-36=8, Resulting Numbers: [39, 8]
Generated Node #3: [39, 8] from Operation: 44-36=8
Current State: 31:[39, 8], Operations: ['78/2=39', '44-36=8']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
Current State: 31:[78, 44, 36, 2], Operations: []
Exploring Operation: 78-44=34, Resulting Numbers: [36, 2, 34]
Generated Node #0,0: 31:[36, 2, 34] Operation: 78-44=34
Exploring Operation: 78-36=42, Resulting Numbers: [44, 2, 42]
Generated Node #0,1: 31:[44, 2, 42] Operation: 78-36=42
Exploring Operation: 78/2=39, Resulting Numbers: [44, 36, 39]
Generated Node #0,2: 31:[44, 36, 39] Operation: 78/2=39
Moving to Node #0,2
Current State: 31:[44, 36, 39], Operations: ['78/2=39']
Exploring Operation: 39-36=3, Resulting Numbers: [44, 3]
Generated Node #0,2,0: 31:[44, 3] Operation: 39-36=3
Exploring Operation: 44-36=8, Resulting Numbers: [39, 8]
Generated Node #0,2,1: 31:[39, 8] Operation: 44-36=8
Exploring Operation: 44-39=5, Resulting Numbers: [36, 5]
Generated Node #0,2,2: 31:[36, 5] Operation: 44-39=5
Moving to Node #0,0
Current State: 31:[36, 2, 34], Operations: ['78-44=34']
Exploring Operation: 36-2=34, Resulting Numbers: [34, 34]
Generated Node #0,0,0: 31:[34, 34] Operation: 36-2=34
Exploring Operation: 34-2=32, Resulting Numbers: [36, 32]
Generated Node #0,0,1: 31:[36, 32] Operation: 34-2=32
Exploring Operation: 36+2=38, Resulting Numbers: [34, 38]
Generated Node #0,0,2: 31:[34, 38] Operation: 36+2=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[34, 34], Operations: ['78-44=34', '36-2=34']
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,31 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 #0,0,1
Current State: 31:[36, 32], Operations: ['78-44=34', '34-2=32']
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,31 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,31 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 #0,0,2
Current State: 31:[34, 38], Operations: ['78-44=34', '36+2=38']
Exploring Operation: 34*38=1292, Resulting Numbers: [1292]
1292,31 unequal: No Solution
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,31 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:[44, 2, 42], Operations: ['78-36=42']
Exploring Operation: 44-2=42, Resulting Numbers: [42, 42]
Generated Node #0,1,0: 31:[42, 42] Operation: 44-2=42
Exploring Operation: 42-2=40, Resulting Numbers: [44, 40]
Generated Node #0,1,1: 31:[44, 40] Operation: 42-2=40
Exploring Operation: 44/2=22, Resulting Numbers: [42, 22]
Generated Node #0,1,2: 31:[42, 22] Operation: 44/2=22
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[42, 22], Operations: ['78-36=42', '44/2=22']
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,31 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,31 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 #0,1,0
Current State: 31:[42, 42], Operations: ['78-36=42', '44-2=42']
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,31 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,31 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 #0,1,1
Current State: 31:[44, 40], Operations: ['78-36=42', '42-2=40']
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,31 unequal: No Solution
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,31 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,31 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: 31:[39, 8], Operations: ['78/2=39', '44-36=8']
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,31 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[78, 44, 36, 2], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [44, 36, 39]
Generated Node #0,2: 31:[44, 36, 39] Operation: 78/2=39
Moving to Node #0,2
Current State: 31:[44, 36, 39], Operations: ['78/2=39']
Exploring Operation: 44-36=8, Resulting Numbers: [39, 8]
Generated Node #0,2,1: 31:[39, 8] Operation: 44-36=8
Moving to Node #0,2,1
Current State: 31:[39, 8], Operations: ['78/2=39', '44-36=8']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.96875
|
hs_3
|
sum_heuristic
|
[
43,
40,
49,
6
] | 97
|
[
"49-40=9",
"6*9=54",
"43+54=97"
] |
Current State: 97:[43, 40, 49, 6], Operations: []
Exploring Operation: 49-40=9, Resulting Numbers: [43, 6, 9]
Generated Node #2: [43, 6, 9] from Operation: 49-40=9
Current State: 97:[43, 6, 9], Operations: ['49-40=9']
Exploring Operation: 6*9=54, Resulting Numbers: [43, 54]
Generated Node #3: [43, 54] from Operation: 6*9=54
Current State: 97:[43, 54], Operations: ['49-40=9', '6*9=54']
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
Current State: 97:[43, 40, 49, 6], Operations: []
Exploring Operation: 43+6=49, Resulting Numbers: [40, 49, 49]
Generated Node #0,0: 97:[40, 49, 49] Operation: 43+6=49
Exploring Operation: 43+49=92, Resulting Numbers: [40, 6, 92]
Generated Node #0,1: 97:[40, 6, 92] Operation: 43+49=92
Exploring Operation: 43+40=83, Resulting Numbers: [49, 6, 83]
Generated Node #0,2: 97:[49, 6, 83] Operation: 43+40=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[40, 49, 49], Operations: ['43+6=49']
Exploring Operation: 40+49=89, Resulting Numbers: [49, 89]
Generated Node #0,0,0: 97:[49, 89] Operation: 40+49=89
Exploring Operation: 49+49=98, Resulting Numbers: [40, 98]
Generated Node #0,0,1: 97:[40, 98] Operation: 49+49=98
Exploring Operation: 40+49=89, Resulting Numbers: [49, 89]
Generated Node #0,0,2: 97:[49, 89] Operation: 40+49=89
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[49, 89], Operations: ['43+6=49', '40+49=89']
Exploring Operation: 49+89=138, Resulting Numbers: [138]
138,97 unequal: No Solution
Exploring Operation: 89-49=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 49*89=4361, Resulting Numbers: [4361]
4361,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[49, 89], Operations: ['43+6=49', '40+49=89']
Exploring Operation: 49+89=138, Resulting Numbers: [138]
138,97 unequal: No Solution
Exploring Operation: 89-49=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 49*89=4361, Resulting Numbers: [4361]
4361,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[40, 98], Operations: ['43+6=49', '49+49=98']
Exploring Operation: 40+98=138, Resulting Numbers: [138]
138,97 unequal: No Solution
Exploring Operation: 40*98=3920, Resulting Numbers: [3920]
3920,97 unequal: No Solution
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[40, 6, 92], Operations: ['43+49=92']
Exploring Operation: 40-6=34, Resulting Numbers: [92, 34]
Generated Node #0,1,0: 97:[92, 34] Operation: 40-6=34
Exploring Operation: 6+92=98, Resulting Numbers: [40, 98]
Generated Node #0,1,1: 97:[40, 98] Operation: 6+92=98
Exploring Operation: 40+6=46, Resulting Numbers: [92, 46]
Generated Node #0,1,2: 97:[92, 46] Operation: 40+6=46
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[92, 46], Operations: ['43+49=92', '40+6=46']
Exploring Operation: 92/46=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 92-46=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 92+46=138, Resulting Numbers: [138]
138,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[40, 98], Operations: ['43+49=92', '6+92=98']
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,97 unequal: No Solution
Exploring Operation: 40*98=3920, Resulting Numbers: [3920]
3920,97 unequal: No Solution
Exploring Operation: 40+98=138, Resulting Numbers: [138]
138,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[92, 34], Operations: ['43+49=92', '40-6=34']
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,97 unequal: No Solution
Exploring Operation: 92+34=126, Resulting Numbers: [126]
126,97 unequal: No Solution
Exploring Operation: 92*34=3128, Resulting Numbers: [3128]
3128,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[49, 6, 83], Operations: ['43+40=83']
Exploring Operation: 49-6=43, Resulting Numbers: [83, 43]
Generated Node #0,2,0: 97:[83, 43] Operation: 49-6=43
Exploring Operation: 6+83=89, Resulting Numbers: [49, 89]
Generated Node #0,2,1: 97:[49, 89] Operation: 6+83=89
Exploring Operation: 49+6=55, Resulting Numbers: [83, 55]
Generated Node #0,2,2: 97:[83, 55] Operation: 49+6=55
Moving to Node #0,2,1
Current State: 97:[49, 89], Operations: ['43+40=83', '6+83=89']
Exploring Operation: 49*89=4361, Resulting Numbers: [4361]
4361,97 unequal: No Solution
Exploring Operation: 89-49=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 49+89=138, Resulting Numbers: [138]
138,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[83, 55], Operations: ['43+40=83', '49+6=55']
Exploring Operation: 83+55=138, Resulting Numbers: [138]
138,97 unequal: No Solution
Exploring Operation: 83*55=4565, Resulting Numbers: [4565]
4565,97 unequal: No Solution
Exploring Operation: 83-55=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[83, 43], Operations: ['43+40=83', '49-6=43']
Exploring Operation: 83+43=126, Resulting Numbers: [126]
126,97 unequal: No Solution
Exploring Operation: 83*43=3569, Resulting Numbers: [3569]
3569,97 unequal: No Solution
Exploring Operation: 83-43=40, Resulting Numbers: [40]
40,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
23,
77,
13,
55
] | 58
|
[
"23+77=100",
"55-13=42",
"100-42=58"
] |
Current State: 58:[23, 77, 13, 55], Operations: []
Exploring Operation: 23+77=100, Resulting Numbers: [13, 55, 100]
Generated Node #2: [13, 55, 100] from Operation: 23+77=100
Current State: 58:[13, 55, 100], Operations: ['23+77=100']
Exploring Operation: 55-13=42, Resulting Numbers: [100, 42]
Generated Node #3: [100, 42] from Operation: 55-13=42
Current State: 58:[100, 42], Operations: ['23+77=100', '55-13=42']
Exploring Operation: 100-42=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[23, 77, 13, 55], Operations: []
Exploring Operation: 77-23=54, Resulting Numbers: [13, 55, 54]
Generated Node #0,0: 58:[13, 55, 54] Operation: 77-23=54
Exploring Operation: 77-13=64, Resulting Numbers: [23, 55, 64]
Generated Node #0,1: 58:[23, 55, 64] Operation: 77-13=64
Exploring Operation: 77-55=22, Resulting Numbers: [23, 13, 22]
Generated Node #0,2: 58:[23, 13, 22] Operation: 77-55=22
Moving to Node #0,1
Current State: 58:[23, 55, 64], Operations: ['77-13=64']
Exploring Operation: 55-23=32, Resulting Numbers: [64, 32]
Generated Node #0,1,0: 58:[64, 32] Operation: 55-23=32
Exploring Operation: 64-23=41, Resulting Numbers: [55, 41]
Generated Node #0,1,1: 58:[55, 41] Operation: 64-23=41
Exploring Operation: 64-55=9, Resulting Numbers: [23, 9]
Generated Node #0,1,2: 58:[23, 9] Operation: 64-55=9
Moving to Node #0,0
Current State: 58:[13, 55, 54], Operations: ['77-23=54']
Exploring Operation: 13+54=67, Resulting Numbers: [55, 67]
Generated Node #0,0,0: 58:[55, 67] Operation: 13+54=67
Exploring Operation: 55-54=1, Resulting Numbers: [13, 1]
Generated Node #0,0,1: 58:[13, 1] Operation: 55-54=1
Exploring Operation: 13+55=68, Resulting Numbers: [54, 68]
Generated Node #0,0,2: 58:[54, 68] Operation: 13+55=68
Moving to Node #0,2
Current State: 58:[23, 13, 22], Operations: ['77-55=22']
Exploring Operation: 22-13=9, Resulting Numbers: [23, 9]
Generated Node #0,2,0: 58:[23, 9] Operation: 22-13=9
Exploring Operation: 23-22=1, Resulting Numbers: [13, 1]
Generated Node #0,2,1: 58:[13, 1] Operation: 23-22=1
Exploring Operation: 13+22=35, Resulting Numbers: [23, 35]
Generated Node #0,2,2: 58:[23, 35] Operation: 13+22=35
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 58:[13, 1], Operations: ['77-55=22', '23-22=1']
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,58 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 #0,2,2
Current State: 58:[23, 35], Operations: ['77-55=22', '13+22=35']
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[23, 77, 13, 55], Operations: []
Exploring Operation: 77-55=22, Resulting Numbers: [23, 13, 22]
Generated Node #0,2: 58:[23, 13, 22] Operation: 77-55=22
Moving to Node #0,2
Current State: 58:[23, 13, 22], Operations: ['77-55=22']
Exploring Operation: 13+22=35, Resulting Numbers: [23, 35]
Generated Node #0,2,2: 58:[23, 35] Operation: 13+22=35
Moving to Node #0,2,2
Current State: 58:[23, 35], Operations: ['77-55=22', '13+22=35']
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639
|
hs_3
|
sum_heuristic
|
[
5,
48,
28,
24
] | 47
|
[
"48-5=43",
"28-24=4",
"43+4=47"
] |
Current State: 47:[5, 48, 28, 24], Operations: []
Exploring Operation: 48-5=43, Resulting Numbers: [28, 24, 43]
Generated Node #2: [28, 24, 43] from Operation: 48-5=43
Current State: 47:[28, 24, 43], Operations: ['48-5=43']
Exploring Operation: 28-24=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 28-24=4
Current State: 47:[43, 4], Operations: ['48-5=43', '28-24=4']
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[5, 48, 28, 24], Operations: []
Exploring Operation: 5+28=33, Resulting Numbers: [48, 24, 33]
Generated Node #0,0: 47:[48, 24, 33] Operation: 5+28=33
Exploring Operation: 5+24=29, Resulting Numbers: [48, 28, 29]
Generated Node #0,1: 47:[48, 28, 29] Operation: 5+24=29
Exploring Operation: 48-5=43, Resulting Numbers: [28, 24, 43]
Generated Node #0,2: 47:[28, 24, 43] Operation: 48-5=43
Exploring Operation: 5+48=53, Resulting Numbers: [28, 24, 53]
Generated Node #0,3: 47:[28, 24, 53] Operation: 5+48=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[48, 24, 33], Operations: ['5+28=33']
Exploring Operation: 48-24=24, Resulting Numbers: [33, 24]
Generated Node #0,0,0: 47:[33, 24] Operation: 48-24=24
Exploring Operation: 33-24=9, Resulting Numbers: [48, 9]
Generated Node #0,0,1: 47:[48, 9] Operation: 33-24=9
Exploring Operation: 24+33=57, Resulting Numbers: [48, 57]
Generated Node #0,0,2: 47:[48, 57] Operation: 24+33=57
Exploring Operation: 48+24=72, Resulting Numbers: [33, 72]
Generated Node #0,0,3: 47:[33, 72] Operation: 48+24=72
Moving to Node #0,0,2
Current State: 47:[48, 57], Operations: ['5+28=33', '24+33=57']
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 48+57=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Exploring Operation: 48*57=2736, Resulting Numbers: [2736]
2736,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[33, 24], Operations: ['5+28=33', '48-24=24']
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,47 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[33, 72], Operations: ['5+28=33', '48+24=72']
Exploring Operation: 33*72=2376, Resulting Numbers: [2376]
2376,47 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 33+72=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[48, 9], Operations: ['5+28=33', '33-24=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[48, 28, 29], Operations: ['5+24=29']
Exploring Operation: 28+29=57, Resulting Numbers: [48, 57]
Generated Node #0,1,0: 47:[48, 57] Operation: 28+29=57
Exploring Operation: 48+28=76, Resulting Numbers: [29, 76]
Generated Node #0,1,1: 47:[29, 76] Operation: 48+28=76
Exploring Operation: 48-28=20, Resulting Numbers: [29, 20]
Generated Node #0,1,2: 47:[29, 20] Operation: 48-28=20
Exploring Operation: 48-29=19, Resulting Numbers: [28, 19]
Generated Node #0,1,3: 47:[28, 19] Operation: 48-29=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[48, 57], Operations: ['5+24=29', '28+29=57']
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 48+57=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Exploring Operation: 48*57=2736, Resulting Numbers: [2736]
2736,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[29, 20], Operations: ['5+24=29', '48-28=20']
Exploring Operation: 29*20=580, Resulting Numbers: [580]
580,47 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 29+20=49, Resulting Numbers: [49]
49,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[29, 76], Operations: ['5+24=29', '48+28=76']
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[5, 48, 28, 24], Operations: []
Exploring Operation: 5+24=29, Resulting Numbers: [48, 28, 29]
Generated Node #0,1: 47:[48, 28, 29] Operation: 5+24=29
Moving to Node #0,1
Current State: 47:[48, 28, 29], Operations: ['5+24=29']
Exploring Operation: 48+28=76, Resulting Numbers: [29, 76]
Generated Node #0,1,1: 47:[29, 76] Operation: 48+28=76
Moving to Node #0,1,1
Current State: 47:[29, 76], Operations: ['5+24=29', '48+28=76']
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618
|
hs_4
|
sum_heuristic
|
[
7,
7,
70,
64
] | 42
|
[
"7*70=490",
"7*64=448",
"490-448=42"
] |
Current State: 42:[7, 7, 70, 64], Operations: []
Exploring Operation: 7*70=490, Resulting Numbers: [64, 490]
Generated Node #2: [64, 490] from Operation: 7*70=490
Current State: 42:[64, 490], Operations: ['7*70=490']
Exploring Operation: 7*64=448, Resulting Numbers: [490, 448]
Generated Node #3: [490, 448] from Operation: 7*64=448
Current State: 42:[490, 448], Operations: ['7*70=490', '7*64=448']
Exploring Operation: 490-448=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
Current State: 42:[7, 7, 70, 64], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [7, 7, 6]
Generated Node #0,0: 42:[7, 7, 6] Operation: 70-64=6
Exploring Operation: 70/7=10, Resulting Numbers: [7, 64, 10]
Generated Node #0,1: 42:[7, 64, 10] Operation: 70/7=10
Moving to Node #0,0
Current State: 42:[7, 7, 6], Operations: ['70-64=6']
Exploring Operation: 7+7=14, Resulting Numbers: [6, 14]
Generated Node #0,0,0: 42:[6, 14] Operation: 7+7=14
Exploring Operation: 7*6=42, Resulting Numbers: [7, 42]
Generated Node #0,0,1: 42:[7, 42] Operation: 7*6=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[6, 14], Operations: ['70-64=6', '7+7=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[7, 42], Operations: ['70-64=6', '7*6=42']
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,42 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: 42:[7, 64, 10], Operations: ['70/7=10']
Exploring Operation: 64-10=54, Resulting Numbers: [7, 54]
Generated Node #0,1,0: 42:[7, 54] Operation: 64-10=54
Exploring Operation: 64-7=57, Resulting Numbers: [10, 57]
Generated Node #0,1,1: 42:[10, 57] Operation: 64-7=57
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[7, 54], Operations: ['70/7=10', '64-10=54']
Exploring Operation: 7+54=61, Resulting Numbers: [61]
61,42 unequal: No Solution
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[10, 57], Operations: ['70/7=10', '64-7=57']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,42 unequal: No Solution
Exploring Operation: 10+57=67, Resulting Numbers: [67]
67,42 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
|
[
76,
52,
8,
24
] | 19
|
[
"76+52=128",
"24+128=152",
"152/8=19"
] |
Current State: 19:[76, 52, 8, 24], Operations: []
Exploring Operation: 76+52=128, Resulting Numbers: [8, 24, 128]
Generated Node #2: [8, 24, 128] from Operation: 76+52=128
Current State: 19:[8, 24, 128], Operations: ['76+52=128']
Exploring Operation: 24+128=152, Resulting Numbers: [8, 152]
Generated Node #3: [8, 152] from Operation: 24+128=152
Current State: 19:[8, 152], Operations: ['76+52=128', '24+128=152']
Exploring Operation: 152/8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
Current State: 19:[76, 52, 8, 24], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [76, 8, 28]
Generated Node #0,0: 19:[76, 8, 28] Operation: 52-24=28
Exploring Operation: 76-24=52, Resulting Numbers: [52, 8, 52]
Generated Node #0,1: 19:[52, 8, 52] Operation: 76-24=52
Exploring Operation: 76-52=24, Resulting Numbers: [8, 24, 24]
Generated Node #0,2: 19:[8, 24, 24] Operation: 76-52=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[8, 24, 24], Operations: ['76-52=24']
Exploring Operation: 24-8=16, Resulting Numbers: [24, 16]
Generated Node #0,2,0: 19:[24, 16] Operation: 24-8=16
Exploring Operation: 24-8=16, Resulting Numbers: [24, 16]
Generated Node #0,2,1: 19:[24, 16] Operation: 24-8=16
Exploring Operation: 8+24=32, Resulting Numbers: [24, 32]
Generated Node #0,2,2: 19:[24, 32] Operation: 8+24=32
Moving to Node #0,2,0
Current State: 19:[24, 16], Operations: ['76-52=24', '24-8=16']
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[24, 16], Operations: ['76-52=24', '24-8=16']
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[24, 32], Operations: ['76-52=24', '8+24=32']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 24*32=768, Resulting Numbers: [768]
768,19 unequal: No Solution
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[76, 8, 28], Operations: ['52-24=28']
Exploring Operation: 76-28=48, Resulting Numbers: [8, 48]
Generated Node #0,0,0: 19:[8, 48] Operation: 76-28=48
Exploring Operation: 28-8=20, Resulting Numbers: [76, 20]
Generated Node #0,0,1: 19:[76, 20] Operation: 28-8=20
Exploring Operation: 76-8=68, Resulting Numbers: [28, 68]
Generated Node #0,0,2: 19:[28, 68] Operation: 76-8=68
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[8, 48], Operations: ['52-24=28', '76-28=48']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,19 unequal: No Solution
No 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: 19:[76, 20], Operations: ['52-24=28', '28-8=20']
Exploring Operation: 76*20=1520, Resulting Numbers: [1520]
1520,19 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,19 unequal: No Solution
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,19 unequal: No Solution
No 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: 19:[28, 68], Operations: ['52-24=28', '76-8=68']
Exploring Operation: 28+68=96, Resulting Numbers: [96]
96,19 unequal: No Solution
Exploring Operation: 28*68=1904, Resulting Numbers: [1904]
1904,19 unequal: No Solution
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,19 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: 19:[52, 8, 52], Operations: ['76-24=52']
Exploring Operation: 52/52=1, Resulting Numbers: [8, 1]
Generated Node #0,1,0: 19:[8, 1] Operation: 52/52=1
Exploring Operation: 52-52=0, Resulting Numbers: [8, 0]
Generated Node #0,1,1: 19:[8, 0] Operation: 52-52=0
Exploring Operation: 52-8=44, Resulting Numbers: [52, 44]
Generated Node #0,1,2: 19:[52, 44] Operation: 52-8=44
Moving to Node #0,1,0
Current State: 19:[8, 1], Operations: ['76-24=52', '52/52=1']
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[8, 0], Operations: ['76-24=52', '52-52=0']
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[52, 44], Operations: ['76-24=52', '52-8=44']
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,19 unequal: No Solution
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,19 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,19 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
|
[
68,
65,
43,
32
] | 58
|
[
"68+65=133",
"43+32=75",
"133-75=58"
] |
Current State: 58:[68, 65, 43, 32], Operations: []
Exploring Operation: 68+65=133, Resulting Numbers: [43, 32, 133]
Generated Node #2: [43, 32, 133] from Operation: 68+65=133
Current State: 58:[43, 32, 133], Operations: ['68+65=133']
Exploring Operation: 43+32=75, Resulting Numbers: [133, 75]
Generated Node #3: [133, 75] from Operation: 43+32=75
Current State: 58:[133, 75], Operations: ['68+65=133', '43+32=75']
Exploring Operation: 133-75=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[68, 65, 43, 32], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [68, 32, 22]
Generated Node #0,0: 58:[68, 32, 22] Operation: 65-43=22
Exploring Operation: 68-65=3, Resulting Numbers: [43, 32, 3]
Generated Node #0,1: 58:[43, 32, 3] Operation: 68-65=3
Exploring Operation: 68-43=25, Resulting Numbers: [65, 32, 25]
Generated Node #0,2: 58:[65, 32, 25] Operation: 68-43=25
Moving to Node #0,2
Current State: 58:[65, 32, 25], Operations: ['68-43=25']
Exploring Operation: 32+25=57, Resulting Numbers: [65, 57]
Generated Node #0,2,0: 58:[65, 57] Operation: 32+25=57
Exploring Operation: 32-25=7, Resulting Numbers: [65, 7]
Generated Node #0,2,1: 58:[65, 7] Operation: 32-25=7
Exploring Operation: 65-32=33, Resulting Numbers: [25, 33]
Generated Node #0,2,2: 58:[25, 33] Operation: 65-32=33
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 58:[65, 57], Operations: ['68-43=25', '32+25=57']
Exploring Operation: 65*57=3705, Resulting Numbers: [3705]
3705,58 unequal: No Solution
Exploring Operation: 65+57=122, Resulting Numbers: [122]
122,58 unequal: No Solution
Exploring Operation: 65-57=8, Resulting Numbers: [8]
8,58 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 #0,2,2
Current State: 58:[25, 33], Operations: ['68-43=25', '65-32=33']
Exploring Operation: 25*33=825, Resulting Numbers: [825]
825,58 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 25+33=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[68, 65, 43, 32], Operations: []
Exploring Operation: 68-43=25, Resulting Numbers: [65, 32, 25]
Generated Node #0,2: 58:[65, 32, 25] Operation: 68-43=25
Moving to Node #0,2
Current State: 58:[65, 32, 25], Operations: ['68-43=25']
Exploring Operation: 65-32=33, Resulting Numbers: [25, 33]
Generated Node #0,2,2: 58:[25, 33] Operation: 65-32=33
Moving to Node #0,2,2
Current State: 58:[25, 33], Operations: ['68-43=25', '65-32=33']
Exploring Operation: 25+33=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_3
|
sum_heuristic
|
[
17,
86,
3,
14
] | 58
|
[
"86-17=69",
"14-3=11",
"69-11=58"
] |
Current State: 58:[17, 86, 3, 14], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [3, 14, 69]
Generated Node #2: [3, 14, 69] from Operation: 86-17=69
Current State: 58:[3, 14, 69], Operations: ['86-17=69']
Exploring Operation: 14-3=11, Resulting Numbers: [69, 11]
Generated Node #3: [69, 11] from Operation: 14-3=11
Current State: 58:[69, 11], Operations: ['86-17=69', '14-3=11']
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[17, 86, 3, 14], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [86, 3, 3]
Generated Node #0,0: 58:[86, 3, 3] Operation: 17-14=3
Exploring Operation: 86-14=72, Resulting Numbers: [17, 3, 72]
Generated Node #0,1: 58:[17, 3, 72] Operation: 86-14=72
Exploring Operation: 86-17=69, Resulting Numbers: [3, 14, 69]
Generated Node #0,2: 58:[3, 14, 69] Operation: 86-17=69
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[3, 14, 69], Operations: ['86-17=69']
Exploring Operation: 69/3=23, Resulting Numbers: [14, 23]
Generated Node #0,2,0: 58:[14, 23] Operation: 69/3=23
Exploring Operation: 69-14=55, Resulting Numbers: [3, 55]
Generated Node #0,2,1: 58:[3, 55] Operation: 69-14=55
Exploring Operation: 14-3=11, Resulting Numbers: [69, 11]
Generated Node #0,2,2: 58:[69, 11] Operation: 14-3=11
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 58:[3, 55], Operations: ['86-17=69', '69-14=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[17, 86, 3, 14], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [3, 14, 69]
Generated Node #0,2: 58:[3, 14, 69] Operation: 86-17=69
Moving to Node #0,2
Current State: 58:[3, 14, 69], Operations: ['86-17=69']
Exploring Operation: 69-14=55, Resulting Numbers: [3, 55]
Generated Node #0,2,1: 58:[3, 55] Operation: 69-14=55
Moving to Node #0,2,1
Current State: 58:[3, 55], Operations: ['86-17=69', '69-14=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
sum_heuristic
|
[
42,
53,
24,
57
] | 72
|
[
"42-24=18",
"57-53=4",
"18*4=72"
] |
Current State: 72:[42, 53, 24, 57], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [53, 57, 18]
Generated Node #2: [53, 57, 18] from Operation: 42-24=18
Current State: 72:[53, 57, 18], Operations: ['42-24=18']
Exploring Operation: 57-53=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 57-53=4
Current State: 72:[18, 4], Operations: ['42-24=18', '57-53=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
Current State: 72:[42, 53, 24, 57], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [42, 24, 4]
Generated Node #0,0: 72:[42, 24, 4] Operation: 57-53=4
Moving to Node #0,0
Current State: 72:[42, 24, 4], Operations: ['57-53=4']
Exploring Operation: 42-24=18, Resulting Numbers: [4, 18]
Generated Node #0,0,0: 72:[4, 18] Operation: 42-24=18
Moving to Node #0,0,0
Current State: 72:[4, 18], Operations: ['57-53=4', '42-24=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[42, 53, 24, 57], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [42, 24, 4]
Generated Node #0,0: 72:[42, 24, 4] Operation: 57-53=4
Moving to Node #0,0
Current State: 72:[42, 24, 4], Operations: ['57-53=4']
Exploring Operation: 42-24=18, Resulting Numbers: [4, 18]
Generated Node #0,0,0: 72:[4, 18] Operation: 42-24=18
Moving to Node #0,0,0
Current State: 72:[4, 18], Operations: ['57-53=4', '42-24=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.993924
|
hs_1
|
mult_heuristic
|
[
91,
21,
91,
98
] | 65
|
[
"91-21=70",
"91*70=6370",
"6370/98=65"
] |
Current State: 65:[91, 21, 91, 98], Operations: []
Exploring Operation: 91-21=70, Resulting Numbers: [98, 70]
Generated Node #2: [98, 70] from Operation: 91-21=70
Current State: 65:[98, 70], Operations: ['91-21=70']
Exploring Operation: 91*70=6370, Resulting Numbers: [98, 6370]
Generated Node #3: [98, 6370] from Operation: 91*70=6370
Current State: 65:[98, 6370], Operations: ['91-21=70', '91*70=6370']
Exploring Operation: 6370/98=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[91, 21, 91, 98], Operations: []
Exploring Operation: 91/91=1, Resulting Numbers: [21, 98, 1]
Generated Node #0,0: 65:[21, 98, 1] Operation: 91/91=1
Exploring Operation: 98-91=7, Resulting Numbers: [91, 21, 7]
Generated Node #0,1: 65:[91, 21, 7] Operation: 98-91=7
Exploring Operation: 98-91=7, Resulting Numbers: [21, 91, 7]
Generated Node #0,2: 65:[21, 91, 7] Operation: 98-91=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[91, 21, 7], Operations: ['98-91=7']
Exploring Operation: 91-7=84, Resulting Numbers: [21, 84]
Generated Node #0,1,0: 65:[21, 84] Operation: 91-7=84
Exploring Operation: 91-21=70, Resulting Numbers: [7, 70]
Generated Node #0,1,1: 65:[7, 70] Operation: 91-21=70
Exploring Operation: 91/7=13, Resulting Numbers: [21, 13]
Generated Node #0,1,2: 65:[21, 13] Operation: 91/7=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[7, 70], Operations: ['98-91=7', '91-21=70']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,65 unequal: No Solution
No 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: 65:[21, 13], Operations: ['98-91=7', '91/7=13']
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,65 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,65 unequal: No Solution
No 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: 65:[21, 84], Operations: ['98-91=7', '91-7=84']
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 21+84=105, Resulting Numbers: [105]
105,65 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: 65:[21, 91, 7], Operations: ['98-91=7']
Exploring Operation: 91/7=13, Resulting Numbers: [21, 13]
Generated Node #0,2,0: 65:[21, 13] Operation: 91/7=13
Exploring Operation: 91-21=70, Resulting Numbers: [7, 70]
Generated Node #0,2,1: 65:[7, 70] Operation: 91-21=70
Exploring Operation: 21-7=14, Resulting Numbers: [91, 14]
Generated Node #0,2,2: 65:[91, 14] Operation: 21-7=14
Moving to Node #0,2,1
Current State: 65:[7, 70], Operations: ['98-91=7', '91-21=70']
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,65 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[21, 13], Operations: ['98-91=7', '91/7=13']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[91, 14], Operations: ['98-91=7', '21-7=14']
Exploring Operation: 91+14=105, Resulting Numbers: [105]
105,65 unequal: No Solution
Exploring Operation: 91*14=1274, Resulting Numbers: [1274]
1274,65 unequal: No Solution
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,65 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:[21, 98, 1], Operations: ['91/91=1']
Exploring Operation: 98-21=77, Resulting Numbers: [1, 77]
Generated Node #0,0,0: 65:[1, 77] Operation: 98-21=77
Exploring Operation: 21-1=20, Resulting Numbers: [98, 20]
Generated Node #0,0,1: 65:[98, 20] Operation: 21-1=20
Exploring Operation: 98-1=97, Resulting Numbers: [21, 97]
Generated Node #0,0,2: 65:[21, 97] Operation: 98-1=97
Moving to Node #0,0,0
Current State: 65:[1, 77], Operations: ['91/91=1', '98-21=77']
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[98, 20], Operations: ['91/91=1', '21-1=20']
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,65 unequal: No Solution
Exploring Operation: 98+20=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Exploring Operation: 98*20=1960, Resulting Numbers: [1960]
1960,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[21, 97], Operations: ['91/91=1', '98-1=97']
Exploring Operation: 97-21=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 21+97=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Exploring Operation: 21*97=2037, Resulting Numbers: [2037]
2037,65 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
|
[
9,
93,
65,
56
] | 92
|
[
"65-9=56",
"56/56=1",
"93-1=92"
] |
Current State: 92:[9, 93, 65, 56], Operations: []
Exploring Operation: 65-9=56, Resulting Numbers: [93, 56, 56]
Generated Node #2: [93, 56, 56] from Operation: 65-9=56
Current State: 92:[93, 56, 56], Operations: ['65-9=56']
Exploring Operation: 56/56=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 56/56=1
Current State: 92:[93, 1], Operations: ['65-9=56', '56/56=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[9, 93, 65, 56], Operations: []
Exploring Operation: 65-56=9, Resulting Numbers: [9, 93, 9]
Generated Node #0,0: 92:[9, 93, 9] Operation: 65-56=9
Moving to Node #0,0
Current State: 92:[9, 93, 9], Operations: ['65-56=9']
Exploring Operation: 9/9=1, Resulting Numbers: [93, 1]
Generated Node #0,0,0: 92:[93, 1] Operation: 9/9=1
Moving to Node #0,0,0
Current State: 92:[93, 1], Operations: ['65-56=9', '9/9=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[9, 93, 65, 56], Operations: []
Exploring Operation: 65-56=9, Resulting Numbers: [9, 93, 9]
Generated Node #0,0: 92:[9, 93, 9] Operation: 65-56=9
Moving to Node #0,0
Current State: 92:[9, 93, 9], Operations: ['65-56=9']
Exploring Operation: 9/9=1, Resulting Numbers: [93, 1]
Generated Node #0,0,0: 92:[93, 1] Operation: 9/9=1
Moving to Node #0,0,0
Current State: 92:[93, 1], Operations: ['65-56=9', '9/9=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.993924
|
hs_1
|
sum_heuristic
|
[
86,
74,
10,
20
] | 16
|
[
"86+74=160",
"20-10=10",
"160/10=16"
] |
Current State: 16:[86, 74, 10, 20], Operations: []
Exploring Operation: 86+74=160, Resulting Numbers: [10, 20, 160]
Generated Node #2: [10, 20, 160] from Operation: 86+74=160
Current State: 16:[10, 20, 160], Operations: ['86+74=160']
Exploring Operation: 20-10=10, Resulting Numbers: [160, 10]
Generated Node #3: [160, 10] from Operation: 20-10=10
Current State: 16:[160, 10], Operations: ['86+74=160', '20-10=10']
Exploring Operation: 160/10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
Current State: 16:[86, 74, 10, 20], Operations: []
Exploring Operation: 86-74=12, Resulting Numbers: [10, 20, 12]
Generated Node #0,0: 16:[10, 20, 12] Operation: 86-74=12
Moving to Node #0,0
Current State: 16:[10, 20, 12], Operations: ['86-74=12']
Exploring Operation: 20-12=8, Resulting Numbers: [10, 8]
Generated Node #0,0,0: 16:[10, 8] Operation: 20-12=8
Moving to Node #0,0,0
Current State: 16:[10, 8], Operations: ['86-74=12', '20-12=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,16 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
84,
81,
12,
75
] | 39
|
[
"84-81=3",
"12*3=36",
"75-36=39"
] |
Current State: 39:[84, 81, 12, 75], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [12, 75, 3]
Generated Node #2: [12, 75, 3] from Operation: 84-81=3
Current State: 39:[12, 75, 3], Operations: ['84-81=3']
Exploring Operation: 12*3=36, Resulting Numbers: [75, 36]
Generated Node #3: [75, 36] from Operation: 12*3=36
Current State: 39:[75, 36], Operations: ['84-81=3', '12*3=36']
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
Current State: 39:[84, 81, 12, 75], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [12, 75, 3]
Generated Node #0,0: 39:[12, 75, 3] Operation: 84-81=3
Exploring Operation: 84/12=7, Resulting Numbers: [81, 75, 7]
Generated Node #0,1: 39:[81, 75, 7] Operation: 84/12=7
Exploring Operation: 84-75=9, Resulting Numbers: [81, 12, 9]
Generated Node #0,2: 39:[81, 12, 9] Operation: 84-75=9
Exploring Operation: 81-75=6, Resulting Numbers: [84, 12, 6]
Generated Node #0,3: 39:[84, 12, 6] Operation: 81-75=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[12, 75, 3], Operations: ['84-81=3']
Exploring Operation: 75-12=63, Resulting Numbers: [3, 63]
Generated Node #0,0,0: 39:[3, 63] Operation: 75-12=63
Exploring Operation: 12/3=4, Resulting Numbers: [75, 4]
Generated Node #0,0,1: 39:[75, 4] Operation: 12/3=4
Exploring Operation: 75/3=25, Resulting Numbers: [12, 25]
Generated Node #0,0,2: 39:[12, 25] Operation: 75/3=25
Exploring Operation: 75-3=72, Resulting Numbers: [12, 72]
Generated Node #0,0,3: 39:[12, 72] Operation: 75-3=72
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 39:[12, 25], Operations: ['84-81=3', '75/3=25']
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 12*25=300, Resulting Numbers: [300]
300,39 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,39 unequal: No Solution
No 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: 39:[3, 63], Operations: ['84-81=3', '75-12=63']
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,39 unequal: No Solution
Exploring Operation: 3*63=189, Resulting Numbers: [189]
189,39 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,39 unequal: No Solution
No 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: 39:[12, 72], Operations: ['84-81=3', '75-3=72']
Exploring Operation: 12*72=864, Resulting Numbers: [864]
864,39 unequal: No Solution
Exploring Operation: 72/12=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 12+72=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,39 unequal: No Solution
No 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: 39:[75, 4], Operations: ['84-81=3', '12/3=4']
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,39 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,39 unequal: No Solution
Exploring Operation: 75*4=300, Resulting Numbers: [300]
300,39 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: 39:[81, 12, 9], Operations: ['84-75=9']
Exploring Operation: 81-12=69, Resulting Numbers: [9, 69]
Generated Node #0,2,0: 39:[9, 69] Operation: 81-12=69
Exploring Operation: 12-9=3, Resulting Numbers: [81, 3]
Generated Node #0,2,1: 39:[81, 3] Operation: 12-9=3
Exploring Operation: 81/9=9, Resulting Numbers: [12, 9]
Generated Node #0,2,2: 39:[12, 9] Operation: 81/9=9
Exploring Operation: 81-9=72, Resulting Numbers: [12, 72]
Generated Node #0,2,3: 39:[12, 72] Operation: 81-9=72
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 39:[12, 9], Operations: ['84-75=9', '81/9=9']
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,39 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,39 unequal: No Solution
No 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: 39:[9, 69], Operations: ['84-75=9', '81-12=69']
Exploring Operation: 9+69=78, Resulting Numbers: [78]
78,39 unequal: No Solution
Exploring Operation: 9*69=621, Resulting Numbers: [621]
621,39 unequal: No Solution
Exploring Operation: 69-9=60, Resulting Numbers: [60]
60,39 unequal: No Solution
No 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: 39:[12, 72], Operations: ['84-75=9', '81-9=72']
Exploring Operation: 72/12=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 12*72=864, Resulting Numbers: [864]
864,39 unequal: No Solution
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 12+72=84, Resulting Numbers: [84]
84,39 unequal: No Solution
No 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: 39:[81, 3], Operations: ['84-75=9', '12-9=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 81*3=243, Resulting Numbers: [243]
243,39 unequal: No Solution
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,39 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: 39:[84, 12, 6], Operations: ['81-75=6']
Exploring Operation: 84-12=72, Resulting Numbers: [6, 72]
Generated Node #0,3,0: 39:[6, 72] Operation: 84-12=72
Exploring Operation: 84/6=14, Resulting Numbers: [12, 14]
Generated Node #0,3,1: 39:[12, 14] Operation: 84/6=14
Exploring Operation: 84/12=7, Resulting Numbers: [6, 7]
Generated Node #0,3,2: 39:[6, 7] Operation: 84/12=7
Exploring Operation: 84-6=78, Resulting Numbers: [12, 78]
Generated Node #0,3,3: 39:[12, 78] Operation: 84-6=78
Moving to Node #0,3,1
Current State: 39:[12, 14], Operations: ['81-75=6', '84/6=14']
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,39 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[6, 7], Operations: ['81-75=6', '84/12=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,39 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Moving to Node #0,3,0
Current State: 39:[6, 72], Operations: ['81-75=6', '84-12=72']
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,39 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,39 unequal: No Solution
Exploring Operation: 6*72=432, Resulting Numbers: [432]
432,39 unequal: No Solution
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[12, 78], Operations: ['81-75=6', '84-6=78']
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,39 unequal: No Solution
Exploring Operation: 12+78=90, Resulting Numbers: [90]
90,39 unequal: No Solution
Exploring Operation: 12*78=936, Resulting Numbers: [936]
936,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[81, 75, 7], Operations: ['84/12=7']
Exploring Operation: 81-75=6, Resulting Numbers: [7, 6]
Generated Node #0,1,0: 39:[7, 6] Operation: 81-75=6
Exploring Operation: 81+7=88, Resulting Numbers: [75, 88]
Generated Node #0,1,1: 39:[75, 88] Operation: 81+7=88
Exploring Operation: 75-7=68, Resulting Numbers: [81, 68]
Generated Node #0,1,2: 39:[81, 68] Operation: 75-7=68
Exploring Operation: 81-7=74, Resulting Numbers: [75, 74]
Generated Node #0,1,3: 39:[75, 74] Operation: 81-7=74
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[7, 6], Operations: ['84/12=7', '81-75=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,39 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,39 unequal: No Solution
No 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: 39:[81, 68], Operations: ['84/12=7', '75-7=68']
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 81+68=149, Resulting Numbers: [149]
149,39 unequal: No Solution
Exploring Operation: 81*68=5508, Resulting Numbers: [5508]
5508,39 unequal: No Solution
No 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: 39:[75, 74], Operations: ['84/12=7', '81-7=74']
Exploring Operation: 75-74=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 75+74=149, Resulting Numbers: [149]
149,39 unequal: No Solution
Exploring Operation: 75*74=5550, Resulting Numbers: [5550]
5550,39 unequal: No Solution
No 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: 39:[75, 88], Operations: ['84/12=7', '81+7=88']
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 75+88=163, Resulting Numbers: [163]
163,39 unequal: No Solution
Exploring Operation: 75*88=6600, Resulting Numbers: [6600]
6600,39 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
|
[
31,
6,
17,
3
] | 36
|
[
"31-17=14",
"3*14=42",
"42-6=36"
] |
Current State: 36:[31, 6, 17, 3], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [6, 3, 14]
Generated Node #2: [6, 3, 14] from Operation: 31-17=14
Current State: 36:[6, 3, 14], Operations: ['31-17=14']
Exploring Operation: 3*14=42, Resulting Numbers: [6, 42]
Generated Node #3: [6, 42] from Operation: 3*14=42
Current State: 36:[6, 42], Operations: ['31-17=14', '3*14=42']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[31, 6, 17, 3], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [6, 3, 14]
Generated Node #0,0: 36:[6, 3, 14] Operation: 31-17=14
Exploring Operation: 31+3=34, Resulting Numbers: [6, 17, 34]
Generated Node #0,1: 36:[6, 17, 34] Operation: 31+3=34
Exploring Operation: 31+6=37, Resulting Numbers: [17, 3, 37]
Generated Node #0,2: 36:[17, 3, 37] Operation: 31+6=37
Exploring Operation: 17-6=11, Resulting Numbers: [31, 3, 11]
Generated Node #0,3: 36:[31, 3, 11] Operation: 17-6=11
Moving to Node #0,0
Current State: 36:[6, 3, 14], Operations: ['31-17=14']
Exploring Operation: 14-6=8, Resulting Numbers: [3, 8]
Generated Node #0,0,0: 36:[3, 8] Operation: 14-6=8
Exploring Operation: 14-3=11, Resulting Numbers: [6, 11]
Generated Node #0,0,1: 36:[6, 11] Operation: 14-3=11
Exploring Operation: 6+3=9, Resulting Numbers: [14, 9]
Generated Node #0,0,2: 36:[14, 9] Operation: 6+3=9
Exploring Operation: 3+14=17, Resulting Numbers: [6, 17]
Generated Node #0,0,3: 36:[6, 17] Operation: 3+14=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[3, 8], Operations: ['31-17=14', '14-6=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[6, 11], Operations: ['31-17=14', '14-3=11']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,36 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 36:[6, 17], Operations: ['31-17=14', '3+14=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 36:[14, 9], Operations: ['31-17=14', '6+3=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,36 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,36 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: 36:[17, 3, 37], Operations: ['31+6=37']
Exploring Operation: 37-3=34, Resulting Numbers: [17, 34]
Generated Node #0,2,0: 36:[17, 34] Operation: 37-3=34
Exploring Operation: 17-3=14, Resulting Numbers: [37, 14]
Generated Node #0,2,1: 36:[37, 14] Operation: 17-3=14
Exploring Operation: 17+3=20, Resulting Numbers: [37, 20]
Generated Node #0,2,2: 36:[37, 20] Operation: 17+3=20
Exploring Operation: 37-17=20, Resulting Numbers: [3, 20]
Generated Node #0,2,3: 36:[3, 20] Operation: 37-17=20
Moving to Node #0,1
Current State: 36:[6, 17, 34], Operations: ['31+3=34']
Exploring Operation: 6+34=40, Resulting Numbers: [17, 40]
Generated Node #0,1,0: 36:[17, 40] Operation: 6+34=40
Exploring Operation: 17-6=11, Resulting Numbers: [34, 11]
Generated Node #0,1,1: 36:[34, 11] Operation: 17-6=11
Exploring Operation: 34-17=17, Resulting Numbers: [6, 17]
Generated Node #0,1,2: 36:[6, 17] Operation: 34-17=17
Exploring Operation: 34/17=2, Resulting Numbers: [6, 2]
Generated Node #0,1,3: 36:[6, 2] Operation: 34/17=2
Moving to Node #0,3
Current State: 36:[31, 3, 11], Operations: ['17-6=11']
Exploring Operation: 11-3=8, Resulting Numbers: [31, 8]
Generated Node #0,3,0: 36:[31, 8] Operation: 11-3=8
Exploring Operation: 31+3=34, Resulting Numbers: [11, 34]
Generated Node #0,3,1: 36:[11, 34] Operation: 31+3=34
Exploring Operation: 31-11=20, Resulting Numbers: [3, 20]
Generated Node #0,3,2: 36:[3, 20] Operation: 31-11=20
Exploring Operation: 31+11=42, Resulting Numbers: [3, 42]
Generated Node #0,3,3: 36:[3, 42] Operation: 31+11=42
Moving to Node #0,1,3
Current State: 36:[6, 2], Operations: ['31+3=34', '34/17=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[6, 17], Operations: ['31+3=34', '34-17=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,36 unequal: No Solution
Moving to Node #0,2,3
Current State: 36:[3, 20], Operations: ['31+6=37', '37-17=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Moving to Node #0,3,2
Current State: 36:[3, 20], Operations: ['17-6=11', '31-11=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[34, 11], Operations: ['31+3=34', '17-6=11']
Exploring Operation: 34*11=374, Resulting Numbers: [374]
374,36 unequal: No Solution
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[37, 14], Operations: ['31+6=37', '17-3=14']
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,36 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[17, 34], Operations: ['31+6=37', '37-3=34']
Exploring Operation: 17+34=51, Resulting Numbers: [51]
51,36 unequal: No Solution
Exploring Operation: 17*34=578, Resulting Numbers: [578]
578,36 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Moving to Node #0,3,1
Current State: 36:[11, 34], Operations: ['17-6=11', '31+3=34']
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,36 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[37, 20], Operations: ['31+6=37', '17+3=20']
Exploring Operation: 37+20=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 37*20=740, Resulting Numbers: [740]
740,36 unequal: No Solution
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[17, 40], Operations: ['31+3=34', '6+34=40']
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 17*40=680, Resulting Numbers: [680]
680,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[31, 8], Operations: ['17-6=11', '11-3=8']
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,36 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[3, 42], Operations: ['17-6=11', '31+11=42']
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,36 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,36 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
9,
93,
11,
87
] | 93
|
[
"9*11=99",
"93-87=6",
"99-6=93"
] |
Current State: 93:[9, 93, 11, 87], Operations: []
Exploring Operation: 9*11=99, Resulting Numbers: [93, 87, 99]
Generated Node #2: [93, 87, 99] from Operation: 9*11=99
Current State: 93:[93, 87, 99], Operations: ['9*11=99']
Exploring Operation: 93-87=6, Resulting Numbers: [99, 6]
Generated Node #3: [99, 6] from Operation: 93-87=6
Current State: 93:[99, 6], Operations: ['9*11=99', '93-87=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
Current State: 93:[9, 93, 11, 87], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [93, 87, 2]
Generated Node #0,0: 93:[93, 87, 2] Operation: 11-9=2
Moving to Node #0,0
Current State: 93:[93, 87, 2], Operations: ['11-9=2']
Exploring Operation: 93-87=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 93:[2, 6] Operation: 93-87=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[2, 6], Operations: ['11-9=2', '93-87=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
81,
4,
26,
22
] | 33
|
[
"81-26=55",
"4*22=88",
"88-55=33"
] |
Current State: 33:[81, 4, 26, 22], Operations: []
Exploring Operation: 81-26=55, Resulting Numbers: [4, 22, 55]
Generated Node #2: [4, 22, 55] from Operation: 81-26=55
Current State: 33:[4, 22, 55], Operations: ['81-26=55']
Exploring Operation: 4*22=88, Resulting Numbers: [55, 88]
Generated Node #3: [55, 88] from Operation: 4*22=88
Current State: 33:[55, 88], Operations: ['81-26=55', '4*22=88']
Exploring Operation: 88-55=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
Current State: 33:[81, 4, 26, 22], Operations: []
Exploring Operation: 81-26=55, Resulting Numbers: [4, 22, 55]
Generated Node #0,0: 33:[4, 22, 55] Operation: 81-26=55
Exploring Operation: 81-4=77, Resulting Numbers: [26, 22, 77]
Generated Node #0,1: 33:[26, 22, 77] Operation: 81-4=77
Exploring Operation: 81-22=59, Resulting Numbers: [4, 26, 59]
Generated Node #0,2: 33:[4, 26, 59] Operation: 81-22=59
Exploring Operation: 26-22=4, Resulting Numbers: [81, 4, 4]
Generated Node #0,3: 33:[81, 4, 4] Operation: 26-22=4
Moving to Node #0,0
Current State: 33:[4, 22, 55], Operations: ['81-26=55']
Exploring Operation: 55-4=51, Resulting Numbers: [22, 51]
Generated Node #0,0,0: 33:[22, 51] Operation: 55-4=51
Exploring Operation: 4+22=26, Resulting Numbers: [55, 26]
Generated Node #0,0,1: 33:[55, 26] Operation: 4+22=26
Exploring Operation: 55-22=33, Resulting Numbers: [4, 33]
Generated Node #0,0,2: 33:[4, 33] Operation: 55-22=33
Exploring Operation: 22-4=18, Resulting Numbers: [55, 18]
Generated Node #0,0,3: 33:[55, 18] Operation: 22-4=18
Moving to Node #0,2
Current State: 33:[4, 26, 59], Operations: ['81-22=59']
Exploring Operation: 59-26=33, Resulting Numbers: [4, 33]
Generated Node #0,2,0: 33:[4, 33] Operation: 59-26=33
Exploring Operation: 4+26=30, Resulting Numbers: [59, 30]
Generated Node #0,2,1: 33:[59, 30] Operation: 4+26=30
Exploring Operation: 26-4=22, Resulting Numbers: [59, 22]
Generated Node #0,2,2: 33:[59, 22] Operation: 26-4=22
Exploring Operation: 59-4=55, Resulting Numbers: [26, 55]
Generated Node #0,2,3: 33:[26, 55] Operation: 59-4=55
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 33:[4, 33], Operations: ['81-22=59', '59-26=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,33 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[59, 30], Operations: ['81-22=59', '4+26=30']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 59*30=1770, Resulting Numbers: [1770]
1770,33 unequal: No Solution
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 33:[26, 55], Operations: ['81-22=59', '59-4=55']
Exploring Operation: 26+55=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 26*55=1430, Resulting Numbers: [1430]
1430,33 unequal: No Solution
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[59, 22], Operations: ['81-22=59', '26-4=22']
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,33 unequal: No Solution
Exploring Operation: 59+22=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 59*22=1298, Resulting Numbers: [1298]
1298,33 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: 33:[81, 4, 4], Operations: ['26-22=4']
Exploring Operation: 4+4=8, Resulting Numbers: [81, 8]
Generated Node #0,3,0: 33:[81, 8] Operation: 4+4=8
Exploring Operation: 4/4=1, Resulting Numbers: [81, 1]
Generated Node #0,3,1: 33:[81, 1] Operation: 4/4=1
Exploring Operation: 81-4=77, Resulting Numbers: [4, 77]
Generated Node #0,3,2: 33:[4, 77] Operation: 81-4=77
Exploring Operation: 81-4=77, Resulting Numbers: [4, 77]
Generated Node #0,3,3: 33:[4, 77] Operation: 81-4=77
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 33:[4, 77], Operations: ['26-22=4', '81-4=77']
Exploring Operation: 4*77=308, Resulting Numbers: [308]
308,33 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 4+77=81, Resulting Numbers: [81]
81,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[4, 77], Operations: ['26-22=4', '81-4=77']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 4+77=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 4*77=308, Resulting Numbers: [308]
308,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 33:[81, 1], Operations: ['26-22=4', '4/4=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,33 unequal: No Solution
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,33 unequal: No Solution
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 33:[81, 8], Operations: ['26-22=4', '4+4=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,33 unequal: No Solution
Exploring Operation: 81*8=648, Resulting Numbers: [648]
648,33 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: 33:[26, 22, 77], Operations: ['81-4=77']
Exploring Operation: 26-22=4, Resulting Numbers: [77, 4]
Generated Node #0,1,0: 33:[77, 4] Operation: 26-22=4
Exploring Operation: 26+22=48, Resulting Numbers: [77, 48]
Generated Node #0,1,1: 33:[77, 48] Operation: 26+22=48
Exploring Operation: 77-26=51, Resulting Numbers: [22, 51]
Generated Node #0,1,2: 33:[22, 51] Operation: 77-26=51
Exploring Operation: 77-22=55, Resulting Numbers: [26, 55]
Generated Node #0,1,3: 33:[26, 55] Operation: 77-22=55
Moving to Node #0,0,2
Current State: 33:[4, 33], Operations: ['81-26=55', '55-22=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,33 unequal: No Solution
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[55, 26], Operations: ['81-26=55', '4+22=26']
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 55+26=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 55*26=1430, Resulting Numbers: [1430]
1430,33 unequal: No Solution
Moving to Node #0,1,3
Current State: 33:[26, 55], Operations: ['81-4=77', '77-22=55']
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 26+55=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 26*55=1430, Resulting Numbers: [1430]
1430,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[22, 51], Operations: ['81-26=55', '55-4=51']
Exploring Operation: 22+51=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 22*51=1122, Resulting Numbers: [1122]
1122,33 unequal: No Solution
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[22, 51], Operations: ['81-4=77', '77-26=51']
Exploring Operation: 22+51=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 22*51=1122, Resulting Numbers: [1122]
1122,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[55, 18], Operations: ['81-26=55', '22-4=18']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,33 unequal: No Solution
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 55*18=990, Resulting Numbers: [990]
990,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[77, 4], Operations: ['81-4=77', '26-22=4']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 77*4=308, Resulting Numbers: [308]
308,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[77, 48], Operations: ['81-4=77', '26+22=48']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 77+48=125, Resulting Numbers: [125]
125,33 unequal: No Solution
Exploring Operation: 77*48=3696, Resulting Numbers: [3696]
3696,33 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
51,
48,
60,
37
] | 26
|
[
"51-48=3",
"60-37=23",
"3+23=26"
] |
Current State: 26:[51, 48, 60, 37], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [60, 37, 3]
Generated Node #2: [60, 37, 3] from Operation: 51-48=3
Current State: 26:[60, 37, 3], Operations: ['51-48=3']
Exploring Operation: 60-37=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 60-37=23
Current State: 26:[3, 23], Operations: ['51-48=3', '60-37=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
Current State: 26:[51, 48, 60, 37], Operations: []
Exploring Operation: 60-48=12, Resulting Numbers: [51, 37, 12]
Generated Node #0,0: 26:[51, 37, 12] Operation: 60-48=12
Exploring Operation: 60-51=9, Resulting Numbers: [48, 37, 9]
Generated Node #0,1: 26:[48, 37, 9] Operation: 60-51=9
Moving to Node #0,0
Current State: 26:[51, 37, 12], Operations: ['60-48=12']
Exploring Operation: 51-37=14, Resulting Numbers: [12, 14]
Generated Node #0,0,0: 26:[12, 14] Operation: 51-37=14
Exploring Operation: 51-12=39, Resulting Numbers: [37, 39]
Generated Node #0,0,1: 26:[37, 39] Operation: 51-12=39
Moving to Node #0,1
Current State: 26:[48, 37, 9], Operations: ['60-51=9']
Exploring Operation: 48-37=11, Resulting Numbers: [9, 11]
Generated Node #0,1,0: 26:[9, 11] Operation: 48-37=11
Exploring Operation: 48-9=39, Resulting Numbers: [37, 39]
Generated Node #0,1,1: 26:[37, 39] Operation: 48-9=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[9, 11], Operations: ['60-51=9', '48-37=11']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[37, 39], Operations: ['60-51=9', '48-9=39']
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 37+39=76, Resulting Numbers: [76]
76,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 26:[12, 14], Operations: ['60-48=12', '51-37=14']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[51, 48, 60, 37], Operations: []
Exploring Operation: 60-48=12, Resulting Numbers: [51, 37, 12]
Generated Node #0,0: 26:[51, 37, 12] Operation: 60-48=12
Moving to Node #0,0
Current State: 26:[51, 37, 12], Operations: ['60-48=12']
Exploring Operation: 51-37=14, Resulting Numbers: [12, 14]
Generated Node #0,0,0: 26:[12, 14] Operation: 51-37=14
Moving to Node #0,0,0
Current State: 26:[12, 14], Operations: ['60-48=12', '51-37=14']
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.986111
|
hs_2
|
sum_heuristic
|
[
14,
38,
78,
73
] | 47
|
[
"14+38=52",
"78-73=5",
"52-5=47"
] |
Current State: 47:[14, 38, 78, 73], Operations: []
Exploring Operation: 14+38=52, Resulting Numbers: [78, 73, 52]
Generated Node #2: [78, 73, 52] from Operation: 14+38=52
Current State: 47:[78, 73, 52], Operations: ['14+38=52']
Exploring Operation: 78-73=5, Resulting Numbers: [52, 5]
Generated Node #3: [52, 5] from Operation: 78-73=5
Current State: 47:[52, 5], Operations: ['14+38=52', '78-73=5']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[14, 38, 78, 73], Operations: []
Exploring Operation: 14+38=52, Resulting Numbers: [78, 73, 52]
Generated Node #0,0: 47:[78, 73, 52] Operation: 14+38=52
Exploring Operation: 78-38=40, Resulting Numbers: [14, 73, 40]
Generated Node #0,1: 47:[14, 73, 40] Operation: 78-38=40
Exploring Operation: 78-14=64, Resulting Numbers: [38, 73, 64]
Generated Node #0,2: 47:[38, 73, 64] Operation: 78-14=64
Exploring Operation: 73-14=59, Resulting Numbers: [38, 78, 59]
Generated Node #0,3: 47:[38, 78, 59] Operation: 73-14=59
Exploring Operation: 73-38=35, Resulting Numbers: [14, 78, 35]
Generated Node #0,4: 47:[14, 78, 35] Operation: 73-38=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[38, 73, 64], Operations: ['78-14=64']
Exploring Operation: 38+73=111, Resulting Numbers: [64, 111]
Generated Node #0,2,0: 47:[64, 111] Operation: 38+73=111
Exploring Operation: 64-38=26, Resulting Numbers: [73, 26]
Generated Node #0,2,1: 47:[73, 26] Operation: 64-38=26
Exploring Operation: 38+64=102, Resulting Numbers: [73, 102]
Generated Node #0,2,2: 47:[73, 102] Operation: 38+64=102
Exploring Operation: 73-64=9, Resulting Numbers: [38, 9]
Generated Node #0,2,3: 47:[38, 9] Operation: 73-64=9
Exploring Operation: 73-38=35, Resulting Numbers: [64, 35]
Generated Node #0,2,4: 47:[64, 35] Operation: 73-38=35
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 47:[64, 35], Operations: ['78-14=64', '73-38=35']
Exploring Operation: 64*35=2240, Resulting Numbers: [2240]
2240,47 unequal: No Solution
Exploring Operation: 64+35=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 64-35=29, Resulting Numbers: [29]
29,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[73, 26], Operations: ['78-14=64', '64-38=26']
Exploring Operation: 73*26=1898, Resulting Numbers: [1898]
1898,47 unequal: No Solution
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[14, 38, 78, 73], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [38, 73, 64]
Generated Node #0,2: 47:[38, 73, 64] Operation: 78-14=64
Moving to Node #0,2
Current State: 47:[38, 73, 64], Operations: ['78-14=64']
Exploring Operation: 64-38=26, Resulting Numbers: [73, 26]
Generated Node #0,2,1: 47:[73, 26] Operation: 64-38=26
Moving to Node #0,2,1
Current State: 47:[73, 26], Operations: ['78-14=64', '64-38=26']
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507
|
hs_5
|
sum_heuristic
|
[
1,
52,
86,
79
] | 44
|
[
"52-1=51",
"86-79=7",
"51-7=44"
] |
Current State: 44:[1, 52, 86, 79], Operations: []
Exploring Operation: 52-1=51, Resulting Numbers: [86, 79, 51]
Generated Node #2: [86, 79, 51] from Operation: 52-1=51
Current State: 44:[86, 79, 51], Operations: ['52-1=51']
Exploring Operation: 86-79=7, Resulting Numbers: [51, 7]
Generated Node #3: [51, 7] from Operation: 86-79=7
Current State: 44:[51, 7], Operations: ['52-1=51', '86-79=7']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
Current State: 44:[1, 52, 86, 79], Operations: []
Exploring Operation: 52-1=51, Resulting Numbers: [86, 79, 51]
Generated Node #0,0: 44:[86, 79, 51] Operation: 52-1=51
Exploring Operation: 86-52=34, Resulting Numbers: [1, 79, 34]
Generated Node #0,1: 44:[1, 79, 34] Operation: 86-52=34
Exploring Operation: 86-79=7, Resulting Numbers: [1, 52, 7]
Generated Node #0,2: 44:[1, 52, 7] Operation: 86-79=7
Exploring Operation: 79-52=27, Resulting Numbers: [1, 86, 27]
Generated Node #0,3: 44:[1, 86, 27] Operation: 79-52=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[1, 52, 7], Operations: ['86-79=7']
Exploring Operation: 1*52=52, Resulting Numbers: [7, 52]
Generated Node #0,2,0: 44:[7, 52] Operation: 1*52=52
Exploring Operation: 7-1=6, Resulting Numbers: [52, 6]
Generated Node #0,2,1: 44:[52, 6] Operation: 7-1=6
Exploring Operation: 52-1=51, Resulting Numbers: [7, 51]
Generated Node #0,2,2: 44:[7, 51] Operation: 52-1=51
Exploring Operation: 52-7=45, Resulting Numbers: [1, 45]
Generated Node #0,2,3: 44:[1, 45] Operation: 52-7=45
Moving to Node #0,2,3
Current State: 44:[1, 45], Operations: ['86-79=7', '52-7=45']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,44 unequal: No Solution
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[1, 52, 86, 79], Operations: []
Exploring Operation: 86-79=7, Resulting Numbers: [1, 52, 7]
Generated Node #0,2: 44:[1, 52, 7] Operation: 86-79=7
Moving to Node #0,2
Current State: 44:[1, 52, 7], Operations: ['86-79=7']
Exploring Operation: 52-7=45, Resulting Numbers: [1, 45]
Generated Node #0,2,3: 44:[1, 45] Operation: 52-7=45
Moving to Node #0,2,3
Current State: 44:[1, 45], Operations: ['86-79=7', '52-7=45']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
mult_heuristic
|
[
61,
1,
1,
83
] | 21
|
[
"61+1=62",
"1*83=83",
"83-62=21"
] |
Current State: 21:[61, 1, 1, 83], Operations: []
Exploring Operation: 61+1=62, Resulting Numbers: [83, 62]
Generated Node #2: [83, 62] from Operation: 61+1=62
Current State: 21:[83, 62], Operations: ['61+1=62']
Exploring Operation: 1*83=83, Resulting Numbers: [62, 83]
Generated Node #3: [62, 83] from Operation: 1*83=83
Current State: 21:[62, 83], Operations: ['61+1=62', '1*83=83']
Exploring Operation: 83-62=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
Current State: 21:[61, 1, 1, 83], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [1, 1, 22]
Generated Node #0,0: 21:[1, 1, 22] Operation: 83-61=22
Exploring Operation: 61-1=60, Resulting Numbers: [1, 83, 60]
Generated Node #0,1: 21:[1, 83, 60] Operation: 61-1=60
Exploring Operation: 61-1=60, Resulting Numbers: [1, 83, 60]
Generated Node #0,2: 21:[1, 83, 60] Operation: 61-1=60
Exploring Operation: 1+1=2, Resulting Numbers: [61, 83, 2]
Generated Node #0,3: 21:[61, 83, 2] Operation: 1+1=2
Moving to Node #0,0
Current State: 21:[1, 1, 22], Operations: ['83-61=22']
Exploring Operation: 1*1=1, Resulting Numbers: [22, 1]
Generated Node #0,0,0: 21:[22, 1] Operation: 1*1=1
Exploring Operation: 22-1=21, Resulting Numbers: [1, 21]
Generated Node #0,0,1: 21:[1, 21] Operation: 22-1=21
Exploring Operation: 22-1=21, Resulting Numbers: [1, 21]
Generated Node #0,0,2: 21:[1, 21] Operation: 22-1=21
Exploring Operation: 1+1=2, Resulting Numbers: [22, 2]
Generated Node #0,0,3: 21:[22, 2] Operation: 1+1=2
Moving to Node #0,2
Current State: 21:[1, 83, 60], Operations: ['61-1=60']
Exploring Operation: 1*83=83, Resulting Numbers: [60, 83]
Generated Node #0,2,0: 21:[60, 83] Operation: 1*83=83
Exploring Operation: 60-1=59, Resulting Numbers: [83, 59]
Generated Node #0,2,1: 21:[83, 59] Operation: 60-1=59
Exploring Operation: 83-60=23, Resulting Numbers: [1, 23]
Generated Node #0,2,2: 21:[1, 23] Operation: 83-60=23
Exploring Operation: 83-1=82, Resulting Numbers: [60, 82]
Generated Node #0,2,3: 21:[60, 82] Operation: 83-1=82
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[1, 23], Operations: ['61-1=60', '83-60=23']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,21 unequal: No Solution
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,21 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,21 unequal: No Solution
No 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: 21:[83, 59], Operations: ['61-1=60', '60-1=59']
Exploring Operation: 83+59=142, Resulting Numbers: [142]
142,21 unequal: No Solution
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 83*59=4897, Resulting Numbers: [4897]
4897,21 unequal: No Solution
No 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: 21:[60, 82], Operations: ['61-1=60', '83-1=82']
Exploring Operation: 60+82=142, Resulting Numbers: [142]
142,21 unequal: No Solution
Exploring Operation: 60*82=4920, Resulting Numbers: [4920]
4920,21 unequal: No Solution
Exploring Operation: 82-60=22, Resulting Numbers: [22]
22,21 unequal: No Solution
No 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: 21:[60, 83], Operations: ['61-1=60', '1*83=83']
Exploring Operation: 83-60=23, Resulting Numbers: [23]
23,21 unequal: No Solution
Exploring Operation: 60+83=143, Resulting Numbers: [143]
143,21 unequal: No Solution
Exploring Operation: 60*83=4980, Resulting Numbers: [4980]
4980,21 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: 21:[1, 83, 60], Operations: ['61-1=60']
Exploring Operation: 60-1=59, Resulting Numbers: [83, 59]
Generated Node #0,1,0: 21:[83, 59] Operation: 60-1=59
Exploring Operation: 83-60=23, Resulting Numbers: [1, 23]
Generated Node #0,1,1: 21:[1, 23] Operation: 83-60=23
Exploring Operation: 83-1=82, Resulting Numbers: [60, 82]
Generated Node #0,1,2: 21:[60, 82] Operation: 83-1=82
Exploring Operation: 1*83=83, Resulting Numbers: [60, 83]
Generated Node #0,1,3: 21:[60, 83] Operation: 1*83=83
Moving to Node #0,3
Current State: 21:[61, 83, 2], Operations: ['1+1=2']
Exploring Operation: 83-2=81, Resulting Numbers: [61, 81]
Generated Node #0,3,0: 21:[61, 81] Operation: 83-2=81
Exploring Operation: 61-2=59, Resulting Numbers: [83, 59]
Generated Node #0,3,1: 21:[83, 59] Operation: 61-2=59
Exploring Operation: 61+2=63, Resulting Numbers: [83, 63]
Generated Node #0,3,2: 21:[83, 63] Operation: 61+2=63
Exploring Operation: 83-61=22, Resulting Numbers: [2, 22]
Generated Node #0,3,3: 21:[2, 22] Operation: 83-61=22
Moving to Node #0,0,1
Current State: 21:[1, 21], Operations: ['83-61=22', '22-1=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[61, 1, 1, 83], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [1, 1, 22]
Generated Node #0,0: 21:[1, 1, 22] Operation: 83-61=22
Moving to Node #0,0
Current State: 21:[1, 1, 22], Operations: ['83-61=22']
Exploring Operation: 22-1=21, Resulting Numbers: [1, 21]
Generated Node #0,0,1: 21:[1, 21] Operation: 22-1=21
Moving to Node #0,0,1
Current State: 21:[1, 21], Operations: ['83-61=22', '22-1=21']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 0.965278
|
hs_4
|
mult_heuristic
|
[
2,
9,
94,
72
] | 40
|
[
"2*9=18",
"94-72=22",
"18+22=40"
] |
Current State: 40:[2, 9, 94, 72], Operations: []
Exploring Operation: 2*9=18, Resulting Numbers: [94, 72, 18]
Generated Node #2: [94, 72, 18] from Operation: 2*9=18
Current State: 40:[94, 72, 18], Operations: ['2*9=18']
Exploring Operation: 94-72=22, Resulting Numbers: [18, 22]
Generated Node #3: [18, 22] from Operation: 94-72=22
Current State: 40:[18, 22], Operations: ['2*9=18', '94-72=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
Current State: 40:[2, 9, 94, 72], Operations: []
Exploring Operation: 94-9=85, Resulting Numbers: [2, 72, 85]
Generated Node #0,0: 40:[2, 72, 85] Operation: 94-9=85
Exploring Operation: 72/9=8, Resulting Numbers: [2, 94, 8]
Generated Node #0,1: 40:[2, 94, 8] Operation: 72/9=8
Exploring Operation: 72/2=36, Resulting Numbers: [9, 94, 36]
Generated Node #0,2: 40:[9, 94, 36] Operation: 72/2=36
Exploring Operation: 94/2=47, Resulting Numbers: [9, 72, 47]
Generated Node #0,3: 40:[9, 72, 47] Operation: 94/2=47
Exploring Operation: 94-72=22, Resulting Numbers: [2, 9, 22]
Generated Node #0,4: 40:[2, 9, 22] Operation: 94-72=22
Start Sub Search at level 1: Moving to Node #0,4
Current State: 40:[2, 9, 22], Operations: ['94-72=22']
Exploring Operation: 22/2=11, Resulting Numbers: [9, 11]
Generated Node #0,4,0: 40:[9, 11] Operation: 22/2=11
Exploring Operation: 2+9=11, Resulting Numbers: [22, 11]
Generated Node #0,4,1: 40:[22, 11] Operation: 2+9=11
Exploring Operation: 22-2=20, Resulting Numbers: [9, 20]
Generated Node #0,4,2: 40:[9, 20] Operation: 22-2=20
Exploring Operation: 22-9=13, Resulting Numbers: [2, 13]
Generated Node #0,4,3: 40:[2, 13] Operation: 22-9=13
Exploring Operation: 9-2=7, Resulting Numbers: [22, 7]
Generated Node #0,4,4: 40:[22, 7] Operation: 9-2=7
Moving to Node #0,4,2
Current State: 40:[9, 20], Operations: ['94-72=22', '22-2=20']
Exploring Operation: 9*20=180, Resulting Numbers: [180]
180,40 unequal: No Solution
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Moving to Node #0,4,0
Current State: 40:[9, 11], Operations: ['94-72=22', '22/2=11']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,40 unequal: No Solution
Moving to Node #0,4,1
Current State: 40:[22, 11], Operations: ['94-72=22', '2+9=11']
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,40 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Moving to Node #0,4,3
Current State: 40:[2, 13], Operations: ['94-72=22', '22-9=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,40 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Moving to Node #0,4,4
Current State: 40:[22, 7], Operations: ['94-72=22', '9-2=7']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,40 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[9, 72, 47], Operations: ['94/2=47']
Exploring Operation: 72/9=8, Resulting Numbers: [47, 8]
Generated Node #0,3,0: 40:[47, 8] Operation: 72/9=8
Exploring Operation: 47-9=38, Resulting Numbers: [72, 38]
Generated Node #0,3,1: 40:[72, 38] Operation: 47-9=38
Exploring Operation: 72-47=25, Resulting Numbers: [9, 25]
Generated Node #0,3,2: 40:[9, 25] Operation: 72-47=25
Exploring Operation: 72-9=63, Resulting Numbers: [47, 63]
Generated Node #0,3,3: 40:[47, 63] Operation: 72-9=63
Exploring Operation: 9+72=81, Resulting Numbers: [47, 81]
Generated Node #0,3,4: 40:[47, 81] Operation: 9+72=81
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 40:[9, 25], Operations: ['94/2=47', '72-47=25']
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,40 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 40:[47, 8], Operations: ['94/2=47', '72/9=8']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,40 unequal: No Solution
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 40:[47, 63], Operations: ['94/2=47', '72-9=63']
Exploring Operation: 47+63=110, Resulting Numbers: [110]
110,40 unequal: No Solution
Exploring Operation: 47*63=2961, Resulting Numbers: [2961]
2961,40 unequal: No Solution
Exploring Operation: 63-47=16, Resulting Numbers: [16]
16,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 40:[72, 38], Operations: ['94/2=47', '47-9=38']
Exploring Operation: 72+38=110, Resulting Numbers: [110]
110,40 unequal: No Solution
Exploring Operation: 72*38=2736, Resulting Numbers: [2736]
2736,40 unequal: No Solution
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 40:[47, 81], Operations: ['94/2=47', '9+72=81']
Exploring Operation: 47+81=128, Resulting Numbers: [128]
128,40 unequal: No Solution
Exploring Operation: 47*81=3807, Resulting Numbers: [3807]
3807,40 unequal: No Solution
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[2, 94, 8], Operations: ['72/9=8']
Exploring Operation: 8/2=4, Resulting Numbers: [94, 4]
Generated Node #0,1,0: 40:[94, 4] Operation: 8/2=4
Exploring Operation: 94-2=92, Resulting Numbers: [8, 92]
Generated Node #0,1,1: 40:[8, 92] Operation: 94-2=92
Exploring Operation: 94-8=86, Resulting Numbers: [2, 86]
Generated Node #0,1,2: 40:[2, 86] Operation: 94-8=86
Exploring Operation: 94/2=47, Resulting Numbers: [8, 47]
Generated Node #0,1,3: 40:[8, 47] Operation: 94/2=47
Exploring Operation: 2+8=10, Resulting Numbers: [94, 10]
Generated Node #0,1,4: 40:[94, 10] Operation: 2+8=10
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 40:[8, 47], Operations: ['72/9=8', '94/2=47']
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,40 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 40:[2, 86], Operations: ['72/9=8', '94-8=86']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,40 unequal: No Solution
Exploring Operation: 2+86=88, Resulting Numbers: [88]
88,40 unequal: No Solution
Exploring Operation: 2*86=172, Resulting Numbers: [172]
172,40 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 40:[8, 92], Operations: ['72/9=8', '94-2=92']
Exploring Operation: 8*92=736, Resulting Numbers: [736]
736,40 unequal: No Solution
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,40 unequal: No Solution
Exploring Operation: 8+92=100, Resulting Numbers: [100]
100,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[94, 4], Operations: ['72/9=8', '8/2=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,40 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,40 unequal: No Solution
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 40:[94, 10], Operations: ['72/9=8', '2+8=10']
Exploring Operation: 94+10=104, Resulting Numbers: [104]
104,40 unequal: No Solution
Exploring Operation: 94*10=940, Resulting Numbers: [940]
940,40 unequal: No Solution
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[9, 94, 36], Operations: ['72/2=36']
Exploring Operation: 36-9=27, Resulting Numbers: [94, 27]
Generated Node #0,2,0: 40:[94, 27] Operation: 36-9=27
Exploring Operation: 94-36=58, Resulting Numbers: [9, 58]
Generated Node #0,2,1: 40:[9, 58] Operation: 94-36=58
Exploring Operation: 9+36=45, Resulting Numbers: [94, 45]
Generated Node #0,2,2: 40:[94, 45] Operation: 9+36=45
Exploring Operation: 36/9=4, Resulting Numbers: [94, 4]
Generated Node #0,2,3: 40:[94, 4] Operation: 36/9=4
Exploring Operation: 94-9=85, Resulting Numbers: [36, 85]
Generated Node #0,2,4: 40:[36, 85] Operation: 94-9=85
Moving to Node #0,2,1
Current State: 40:[9, 58], Operations: ['72/2=36', '94-36=58']
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,40 unequal: No Solution
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,40 unequal: No Solution
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,40 unequal: No Solution
Moving to Node #0,2,4
Current State: 40:[36, 85], Operations: ['72/2=36', '94-9=85']
Exploring Operation: 36*85=3060, Resulting Numbers: [3060]
3060,40 unequal: No Solution
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,40 unequal: No Solution
Exploring Operation: 36+85=121, Resulting Numbers: [121]
121,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[94, 4], Operations: ['72/2=36', '36/9=4']
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,40 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,40 unequal: No Solution
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[94, 45], Operations: ['72/2=36', '9+36=45']
Exploring Operation: 94-45=49, Resulting Numbers: [49]
49,40 unequal: No Solution
Exploring Operation: 94+45=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Exploring Operation: 94*45=4230, Resulting Numbers: [4230]
4230,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[94, 27], Operations: ['72/2=36', '36-9=27']
Exploring Operation: 94*27=2538, Resulting Numbers: [2538]
2538,40 unequal: No Solution
Exploring Operation: 94-27=67, Resulting Numbers: [67]
67,40 unequal: No Solution
Exploring Operation: 94+27=121, Resulting Numbers: [121]
121,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[2, 72, 85], Operations: ['94-9=85']
Exploring Operation: 85-72=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 40:[2, 13] Operation: 85-72=13
Exploring Operation: 72-2=70, Resulting Numbers: [85, 70]
Generated Node #0,0,1: 40:[85, 70] Operation: 72-2=70
Exploring Operation: 72/2=36, Resulting Numbers: [85, 36]
Generated Node #0,0,2: 40:[85, 36] Operation: 72/2=36
Exploring Operation: 2+72=74, Resulting Numbers: [85, 74]
Generated Node #0,0,3: 40:[85, 74] Operation: 2+72=74
Exploring Operation: 85-2=83, Resulting Numbers: [72, 83]
Generated Node #0,0,4: 40:[72, 83] Operation: 85-2=83
Moving to Node #0,0,0
Current State: 40:[2, 13], Operations: ['94-9=85', '85-72=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,40 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[85, 36], Operations: ['94-9=85', '72/2=36']
Exploring Operation: 85*36=3060, Resulting Numbers: [3060]
3060,40 unequal: No Solution
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,40 unequal: No Solution
Exploring Operation: 85+36=121, Resulting Numbers: [121]
121,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[85, 70], Operations: ['94-9=85', '72-2=70']
Exploring Operation: 85*70=5950, Resulting Numbers: [5950]
5950,40 unequal: No Solution
Exploring Operation: 85+70=155, Resulting Numbers: [155]
155,40 unequal: No Solution
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,40 unequal: No Solution
Moving to Node #0,0,4
Current State: 40:[72, 83], Operations: ['94-9=85', '85-2=83']
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Exploring Operation: 72+83=155, Resulting Numbers: [155]
155,40 unequal: No Solution
Exploring Operation: 72*83=5976, Resulting Numbers: [5976]
5976,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[85, 74], Operations: ['94-9=85', '2+72=74']
Exploring Operation: 85-74=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Exploring Operation: 85*74=6290, Resulting Numbers: [6290]
6290,40 unequal: No Solution
Exploring Operation: 85+74=159, Resulting Numbers: [159]
159,40 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
|
[
52,
54,
87,
60
] | 57
|
[
"54-52=2",
"60/2=30",
"87-30=57"
] |
Current State: 57:[52, 54, 87, 60], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [87, 60, 2]
Generated Node #2: [87, 60, 2] from Operation: 54-52=2
Current State: 57:[87, 60, 2], Operations: ['54-52=2']
Exploring Operation: 60/2=30, Resulting Numbers: [87, 30]
Generated Node #3: [87, 30] from Operation: 60/2=30
Current State: 57:[87, 30], Operations: ['54-52=2', '60/2=30']
Exploring Operation: 87-30=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[52, 54, 87, 60], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [54, 60, 35]
Generated Node #0,0: 57:[54, 60, 35] Operation: 87-52=35
Exploring Operation: 87-60=27, Resulting Numbers: [52, 54, 27]
Generated Node #0,1: 57:[52, 54, 27] Operation: 87-60=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[52, 54, 27], Operations: ['87-60=27']
Exploring Operation: 54-52=2, Resulting Numbers: [27, 2]
Generated Node #0,1,0: 57:[27, 2] Operation: 54-52=2
Exploring Operation: 54/27=2, Resulting Numbers: [52, 2]
Generated Node #0,1,1: 57:[52, 2] Operation: 54/27=2
Moving to Node #0,1,1
Current State: 57:[52, 2], Operations: ['87-60=27', '54/27=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[27, 2], Operations: ['87-60=27', '54-52=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[54, 60, 35], Operations: ['87-52=35']
Exploring Operation: 60-35=25, Resulting Numbers: [54, 25]
Generated Node #0,0,0: 57:[54, 25] Operation: 60-35=25
Exploring Operation: 54-35=19, Resulting Numbers: [60, 19]
Generated Node #0,0,1: 57:[60, 19] Operation: 54-35=19
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 57:[60, 19], Operations: ['87-52=35', '54-35=19']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,57 unequal: No Solution
No 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: 57:[54, 25], Operations: ['87-52=35', '60-35=25']
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,57 unequal: No Solution
Exploring Operation: 54+25=79, Resulting Numbers: [79]
79,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
64,
71,
66,
50
] | 74
|
[
"71*66=4686",
"50+4686=4736",
"4736/64=74"
] |
Current State: 74:[64, 71, 66, 50], Operations: []
Exploring Operation: 71*66=4686, Resulting Numbers: [64, 50, 4686]
Generated Node #2: [64, 50, 4686] from Operation: 71*66=4686
Current State: 74:[64, 50, 4686], Operations: ['71*66=4686']
Exploring Operation: 50+4686=4736, Resulting Numbers: [64, 4736]
Generated Node #3: [64, 4736] from Operation: 50+4686=4736
Current State: 74:[64, 4736], Operations: ['71*66=4686', '50+4686=4736']
Exploring Operation: 4736/64=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[64, 71, 66, 50], Operations: []
Exploring Operation: 71-66=5, Resulting Numbers: [64, 50, 5]
Generated Node #0,0: 74:[64, 50, 5] Operation: 71-66=5
Exploring Operation: 64-50=14, Resulting Numbers: [71, 66, 14]
Generated Node #0,1: 74:[71, 66, 14] Operation: 64-50=14
Exploring Operation: 66-50=16, Resulting Numbers: [64, 71, 16]
Generated Node #0,2: 74:[64, 71, 16] Operation: 66-50=16
Exploring Operation: 66-64=2, Resulting Numbers: [71, 50, 2]
Generated Node #0,3: 74:[71, 50, 2] Operation: 66-64=2
Exploring Operation: 71-64=7, Resulting Numbers: [66, 50, 7]
Generated Node #0,4: 74:[66, 50, 7] Operation: 71-64=7
Moving to Node #0,3
Current State: 74:[71, 50, 2], Operations: ['66-64=2']
Exploring Operation: 50/2=25, Resulting Numbers: [71, 25]
Generated Node #0,3,0: 74:[71, 25] Operation: 50/2=25
Exploring Operation: 71-2=69, Resulting Numbers: [50, 69]
Generated Node #0,3,1: 74:[50, 69] Operation: 71-2=69
Exploring Operation: 50-2=48, Resulting Numbers: [71, 48]
Generated Node #0,3,2: 74:[71, 48] Operation: 50-2=48
Exploring Operation: 71-50=21, Resulting Numbers: [2, 21]
Generated Node #0,3,3: 74:[2, 21] Operation: 71-50=21
Exploring Operation: 71+2=73, Resulting Numbers: [50, 73]
Generated Node #0,3,4: 74:[50, 73] Operation: 71+2=73
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 74:[71, 48], Operations: ['66-64=2', '50-2=48']
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,74 unequal: No Solution
Exploring Operation: 71*48=3408, Resulting Numbers: [3408]
3408,74 unequal: No Solution
Exploring Operation: 71+48=119, Resulting Numbers: [119]
119,74 unequal: No Solution
No 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: 74:[50, 73], Operations: ['66-64=2', '71+2=73']
Exploring Operation: 50*73=3650, Resulting Numbers: [3650]
3650,74 unequal: No Solution
Exploring Operation: 73-50=23, Resulting Numbers: [23]
23,74 unequal: No Solution
Exploring Operation: 50+73=123, Resulting Numbers: [123]
123,74 unequal: No Solution
No 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: 74:[71, 25], Operations: ['66-64=2', '50/2=25']
Exploring Operation: 71+25=96, Resulting Numbers: [96]
96,74 unequal: No Solution
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 71*25=1775, Resulting Numbers: [1775]
1775,74 unequal: No Solution
No 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: 74:[2, 21], Operations: ['66-64=2', '71-50=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,74 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,74 unequal: No Solution
No 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: 74:[50, 69], Operations: ['66-64=2', '71-2=69']
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 50+69=119, Resulting Numbers: [119]
119,74 unequal: No Solution
Exploring Operation: 50*69=3450, Resulting Numbers: [3450]
3450,74 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: 74:[71, 66, 14], Operations: ['64-50=14']
Exploring Operation: 71-66=5, Resulting Numbers: [14, 5]
Generated Node #0,1,0: 74:[14, 5] Operation: 71-66=5
Exploring Operation: 71-14=57, Resulting Numbers: [66, 57]
Generated Node #0,1,1: 74:[66, 57] Operation: 71-14=57
Exploring Operation: 66-14=52, Resulting Numbers: [71, 52]
Generated Node #0,1,2: 74:[71, 52] Operation: 66-14=52
Exploring Operation: 71+14=85, Resulting Numbers: [66, 85]
Generated Node #0,1,3: 74:[66, 85] Operation: 71+14=85
Exploring Operation: 66+14=80, Resulting Numbers: [71, 80]
Generated Node #0,1,4: 74:[71, 80] Operation: 66+14=80
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 74:[71, 80], Operations: ['64-50=14', '66+14=80']
Exploring Operation: 80-71=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Exploring Operation: 71*80=5680, Resulting Numbers: [5680]
5680,74 unequal: No Solution
Exploring Operation: 71+80=151, Resulting Numbers: [151]
151,74 unequal: No Solution
No 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: 74:[14, 5], Operations: ['64-50=14', '71-66=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,74 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,74 unequal: No Solution
No 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: 74:[71, 52], Operations: ['64-50=14', '66-14=52']
Exploring Operation: 71+52=123, Resulting Numbers: [123]
123,74 unequal: No Solution
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 71*52=3692, Resulting Numbers: [3692]
3692,74 unequal: No Solution
No 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: 74:[66, 85], Operations: ['64-50=14', '71+14=85']
Exploring Operation: 85-66=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 66+85=151, Resulting Numbers: [151]
151,74 unequal: No Solution
Exploring Operation: 66*85=5610, Resulting Numbers: [5610]
5610,74 unequal: No Solution
No 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: 74:[66, 57], Operations: ['64-50=14', '71-14=57']
Exploring Operation: 66*57=3762, Resulting Numbers: [3762]
3762,74 unequal: No Solution
Exploring Operation: 66-57=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Exploring Operation: 66+57=123, Resulting Numbers: [123]
123,74 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: 74:[64, 50, 5], Operations: ['71-66=5']
Exploring Operation: 50-5=45, Resulting Numbers: [64, 45]
Generated Node #0,0,0: 74:[64, 45] Operation: 50-5=45
Exploring Operation: 64+5=69, Resulting Numbers: [50, 69]
Generated Node #0,0,1: 74:[50, 69] Operation: 64+5=69
Exploring Operation: 64-50=14, Resulting Numbers: [5, 14]
Generated Node #0,0,2: 74:[5, 14] Operation: 64-50=14
Exploring Operation: 64-5=59, Resulting Numbers: [50, 59]
Generated Node #0,0,3: 74:[50, 59] Operation: 64-5=59
Exploring Operation: 50/5=10, Resulting Numbers: [64, 10]
Generated Node #0,0,4: 74:[64, 10] Operation: 50/5=10
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[5, 14], Operations: ['71-66=5', '64-50=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,74 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,74 unequal: No Solution
No 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: 74:[64, 45], Operations: ['71-66=5', '50-5=45']
Exploring Operation: 64*45=2880, Resulting Numbers: [2880]
2880,74 unequal: No Solution
Exploring Operation: 64+45=109, Resulting Numbers: [109]
109,74 unequal: No Solution
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,74 unequal: No Solution
No 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: 74:[50, 69], Operations: ['71-66=5', '64+5=69']
Exploring Operation: 50+69=119, Resulting Numbers: [119]
119,74 unequal: No Solution
Exploring Operation: 50*69=3450, Resulting Numbers: [3450]
3450,74 unequal: No Solution
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,74 unequal: No Solution
No 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: 74:[64, 10], Operations: ['71-66=5', '50/5=10']
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,74 unequal: No Solution
Exploring Operation: 64*10=640, Resulting Numbers: [640]
640,74 unequal: No Solution
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[64, 71, 66, 50], Operations: []
Exploring Operation: 71-66=5, Resulting Numbers: [64, 50, 5]
Generated Node #0,0: 74:[64, 50, 5] Operation: 71-66=5
Moving to Node #0,0
Current State: 74:[64, 50, 5], Operations: ['71-66=5']
Exploring Operation: 50/5=10, Resulting Numbers: [64, 10]
Generated Node #0,0,4: 74:[64, 10] Operation: 50/5=10
Moving to Node #0,0,4
Current State: 74:[64, 10], Operations: ['71-66=5', '50/5=10']
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.942708
|
hs_5
|
mult_heuristic
|
[
85,
17,
81,
35
] | 14
|
[
"85+17=102",
"81+35=116",
"116-102=14"
] |
Current State: 14:[85, 17, 81, 35], Operations: []
Exploring Operation: 85+17=102, Resulting Numbers: [81, 35, 102]
Generated Node #2: [81, 35, 102] from Operation: 85+17=102
Current State: 14:[81, 35, 102], Operations: ['85+17=102']
Exploring Operation: 81+35=116, Resulting Numbers: [102, 116]
Generated Node #3: [102, 116] from Operation: 81+35=116
Current State: 14:[102, 116], Operations: ['85+17=102', '81+35=116']
Exploring Operation: 116-102=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
Current State: 14:[85, 17, 81, 35], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [17, 35, 4]
Generated Node #0,0: 14:[17, 35, 4] Operation: 85-81=4
Exploring Operation: 85/17=5, Resulting Numbers: [81, 35, 5]
Generated Node #0,1: 14:[81, 35, 5] Operation: 85/17=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[17, 35, 4], Operations: ['85-81=4']
Exploring Operation: 35-4=31, Resulting Numbers: [17, 31]
Generated Node #0,0,0: 14:[17, 31] Operation: 35-4=31
Exploring Operation: 35-17=18, Resulting Numbers: [4, 18]
Generated Node #0,0,1: 14:[4, 18] Operation: 35-17=18
Moving to Node #0,0,1
Current State: 14:[4, 18], Operations: ['85-81=4', '35-17=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[85, 17, 81, 35], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [17, 35, 4]
Generated Node #0,0: 14:[17, 35, 4] Operation: 85-81=4
Moving to Node #0,0
Current State: 14:[17, 35, 4], Operations: ['85-81=4']
Exploring Operation: 35-17=18, Resulting Numbers: [4, 18]
Generated Node #0,0,1: 14:[4, 18] Operation: 35-17=18
Moving to Node #0,0,1
Current State: 14:[4, 18], Operations: ['85-81=4', '35-17=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
58,
3,
88,
84
] | 74
|
[
"88-58=30",
"30/3=10",
"84-10=74"
] |
Current State: 74:[58, 3, 88, 84], Operations: []
Exploring Operation: 88-58=30, Resulting Numbers: [3, 84, 30]
Generated Node #2: [3, 84, 30] from Operation: 88-58=30
Current State: 74:[3, 84, 30], Operations: ['88-58=30']
Exploring Operation: 30/3=10, Resulting Numbers: [84, 10]
Generated Node #3: [84, 10] from Operation: 30/3=10
Current State: 74:[84, 10], Operations: ['88-58=30', '30/3=10']
Exploring Operation: 84-10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[58, 3, 88, 84], Operations: []
Exploring Operation: 84-58=26, Resulting Numbers: [3, 88, 26]
Generated Node #0,0: 74:[3, 88, 26] Operation: 84-58=26
Exploring Operation: 88-58=30, Resulting Numbers: [3, 84, 30]
Generated Node #0,1: 74:[3, 84, 30] Operation: 88-58=30
Exploring Operation: 88-84=4, Resulting Numbers: [58, 3, 4]
Generated Node #0,2: 74:[58, 3, 4] Operation: 88-84=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[3, 84, 30], Operations: ['88-58=30']
Exploring Operation: 3+30=33, Resulting Numbers: [84, 33]
Generated Node #0,1,0: 74:[84, 33] Operation: 3+30=33
Exploring Operation: 84-3=81, Resulting Numbers: [30, 81]
Generated Node #0,1,1: 74:[30, 81] Operation: 84-3=81
Exploring Operation: 84/3=28, Resulting Numbers: [30, 28]
Generated Node #0,1,2: 74:[30, 28] Operation: 84/3=28
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[84, 33], Operations: ['88-58=30', '3+30=33']
Exploring Operation: 84+33=117, Resulting Numbers: [117]
117,74 unequal: No Solution
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,74 unequal: No Solution
Exploring Operation: 84*33=2772, Resulting Numbers: [2772]
2772,74 unequal: No Solution
No 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: 74:[30, 81], Operations: ['88-58=30', '84-3=81']
Exploring Operation: 30*81=2430, Resulting Numbers: [2430]
2430,74 unequal: No Solution
Exploring Operation: 81-30=51, Resulting Numbers: [51]
51,74 unequal: No Solution
Exploring Operation: 30+81=111, Resulting Numbers: [111]
111,74 unequal: No Solution
No 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: 74:[30, 28], Operations: ['88-58=30', '84/3=28']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,74 unequal: No Solution
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,74 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: 74:[58, 3, 4], Operations: ['88-84=4']
Exploring Operation: 4-3=1, Resulting Numbers: [58, 1]
Generated Node #0,2,0: 74:[58, 1] Operation: 4-3=1
Exploring Operation: 58+3=61, Resulting Numbers: [4, 61]
Generated Node #0,2,1: 74:[4, 61] Operation: 58+3=61
Exploring Operation: 58+4=62, Resulting Numbers: [3, 62]
Generated Node #0,2,2: 74:[3, 62] Operation: 58+4=62
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 74:[3, 62], Operations: ['88-84=4', '58+4=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,74 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,74 unequal: No Solution
No 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: 74:[4, 61], Operations: ['88-84=4', '58+3=61']
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Exploring Operation: 4*61=244, Resulting Numbers: [244]
244,74 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,74 unequal: No Solution
No 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: 74:[58, 1], Operations: ['88-84=4', '4-3=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,74 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,74 unequal: No Solution
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,74 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: 74:[3, 88, 26], Operations: ['84-58=26']
Exploring Operation: 3*26=78, Resulting Numbers: [88, 78]
Generated Node #0,0,0: 74:[88, 78] Operation: 3*26=78
Exploring Operation: 88-26=62, Resulting Numbers: [3, 62]
Generated Node #0,0,1: 74:[3, 62] Operation: 88-26=62
Exploring Operation: 88-3=85, Resulting Numbers: [26, 85]
Generated Node #0,0,2: 74:[26, 85] Operation: 88-3=85
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[3, 62], Operations: ['84-58=26', '88-26=62']
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,74 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,74 unequal: No Solution
No 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: 74:[88, 78], Operations: ['84-58=26', '3*26=78']
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 88*78=6864, Resulting Numbers: [6864]
6864,74 unequal: No Solution
Exploring Operation: 88+78=166, Resulting Numbers: [166]
166,74 unequal: No Solution
No 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: 74:[26, 85], Operations: ['84-58=26', '88-3=85']
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,74 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
33,
18,
54,
26
] | 78
|
[
"33+18=51",
"54-51=3",
"26*3=78"
] |
Current State: 78:[33, 18, 54, 26], Operations: []
Exploring Operation: 33+18=51, Resulting Numbers: [54, 26, 51]
Generated Node #2: [54, 26, 51] from Operation: 33+18=51
Current State: 78:[54, 26, 51], Operations: ['33+18=51']
Exploring Operation: 54-51=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 54-51=3
Current State: 78:[26, 3], Operations: ['33+18=51', '54-51=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[33, 18, 54, 26], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [33, 26, 36]
Generated Node #0,0: 78:[33, 26, 36] Operation: 54-18=36
Exploring Operation: 54/18=3, Resulting Numbers: [33, 26, 3]
Generated Node #0,1: 78:[33, 26, 3] Operation: 54/18=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[33, 26, 3], Operations: ['54/18=3']
Exploring Operation: 33/3=11, Resulting Numbers: [26, 11]
Generated Node #0,1,0: 78:[26, 11] Operation: 33/3=11
Exploring Operation: 33-26=7, Resulting Numbers: [3, 7]
Generated Node #0,1,1: 78:[3, 7] Operation: 33-26=7
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[3, 7], Operations: ['54/18=3', '33-26=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[26, 11], Operations: ['54/18=3', '33/3=11']
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[33, 26, 36], Operations: ['54-18=36']
Exploring Operation: 33-26=7, Resulting Numbers: [36, 7]
Generated Node #0,0,0: 78:[36, 7] Operation: 33-26=7
Exploring Operation: 36-33=3, Resulting Numbers: [26, 3]
Generated Node #0,0,1: 78:[26, 3] Operation: 36-33=3
Moving to Node #0,0,1
Current State: 78:[26, 3], Operations: ['54-18=36', '36-33=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[33, 18, 54, 26], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [33, 26, 36]
Generated Node #0,0: 78:[33, 26, 36] Operation: 54-18=36
Moving to Node #0,0
Current State: 78:[33, 26, 36], Operations: ['54-18=36']
Exploring Operation: 36-33=3, Resulting Numbers: [26, 3]
Generated Node #0,0,1: 78:[26, 3] Operation: 36-33=3
Moving to Node #0,0,1
Current State: 78:[26, 3], Operations: ['54-18=36', '36-33=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_2
|
sum_heuristic
|
[
20,
60,
40,
23
] | 39
|
[
"40/20=2",
"60-23=37",
"2+37=39"
] |
Current State: 39:[20, 60, 40, 23], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [60, 23, 2]
Generated Node #2: [60, 23, 2] from Operation: 40/20=2
Current State: 39:[60, 23, 2], Operations: ['40/20=2']
Exploring Operation: 60-23=37, Resulting Numbers: [2, 37]
Generated Node #3: [2, 37] from Operation: 60-23=37
Current State: 39:[2, 37], Operations: ['40/20=2', '60-23=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
Current State: 39:[20, 60, 40, 23], Operations: []
Exploring Operation: 60-23=37, Resulting Numbers: [20, 40, 37]
Generated Node #0,0: 39:[20, 40, 37] Operation: 60-23=37
Exploring Operation: 60/20=3, Resulting Numbers: [40, 23, 3]
Generated Node #0,1: 39:[40, 23, 3] Operation: 60/20=3
Moving to Node #0,0
Current State: 39:[20, 40, 37], Operations: ['60-23=37']
Exploring Operation: 40/20=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 39:[37, 2] Operation: 40/20=2
Exploring Operation: 37-20=17, Resulting Numbers: [40, 17]
Generated Node #0,0,1: 39:[40, 17] Operation: 37-20=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[37, 2], Operations: ['60-23=37', '40/20=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,39 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[20, 60, 40, 23], Operations: []
Exploring Operation: 60-23=37, Resulting Numbers: [20, 40, 37]
Generated Node #0,0: 39:[20, 40, 37] Operation: 60-23=37
Moving to Node #0,0
Current State: 39:[20, 40, 37], Operations: ['60-23=37']
Exploring Operation: 40/20=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 39:[37, 2] Operation: 40/20=2
Moving to Node #0,0,0
Current State: 39:[37, 2], Operations: ['60-23=37', '40/20=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
sum_heuristic
|
[
54,
64,
84,
46
] | 67
|
[
"54+84=138",
"138/46=3",
"64+3=67"
] |
Current State: 67:[54, 64, 84, 46], Operations: []
Exploring Operation: 54+84=138, Resulting Numbers: [64, 46, 138]
Generated Node #2: [64, 46, 138] from Operation: 54+84=138
Current State: 67:[64, 46, 138], Operations: ['54+84=138']
Exploring Operation: 138/46=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 138/46=3
Current State: 67:[64, 3], Operations: ['54+84=138', '138/46=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[54, 64, 84, 46], Operations: []
Exploring Operation: 54+46=100, Resulting Numbers: [64, 84, 100]
Generated Node #0,0: 67:[64, 84, 100] Operation: 54+46=100
Exploring Operation: 54-46=8, Resulting Numbers: [64, 84, 8]
Generated Node #0,1: 67:[64, 84, 8] Operation: 54-46=8
Exploring Operation: 64+46=110, Resulting Numbers: [54, 84, 110]
Generated Node #0,2: 67:[54, 84, 110] Operation: 64+46=110
Exploring Operation: 84-54=30, Resulting Numbers: [64, 46, 30]
Generated Node #0,3: 67:[64, 46, 30] Operation: 84-54=30
Exploring Operation: 84-46=38, Resulting Numbers: [54, 64, 38]
Generated Node #0,4: 67:[54, 64, 38] Operation: 84-46=38
Moving to Node #0,4
Current State: 67:[54, 64, 38], Operations: ['84-46=38']
Exploring Operation: 54+38=92, Resulting Numbers: [64, 92]
Generated Node #0,4,0: 67:[64, 92] Operation: 54+38=92
Exploring Operation: 54-38=16, Resulting Numbers: [64, 16]
Generated Node #0,4,1: 67:[64, 16] Operation: 54-38=16
Exploring Operation: 64+38=102, Resulting Numbers: [54, 102]
Generated Node #0,4,2: 67:[54, 102] Operation: 64+38=102
Exploring Operation: 64-38=26, Resulting Numbers: [54, 26]
Generated Node #0,4,3: 67:[54, 26] Operation: 64-38=26
Exploring Operation: 54+64=118, Resulting Numbers: [38, 118]
Generated Node #0,4,4: 67:[38, 118] Operation: 54+64=118
Moving to Node #0,0
Current State: 67:[64, 84, 100], Operations: ['54+46=100']
Exploring Operation: 64+100=164, Resulting Numbers: [84, 164]
Generated Node #0,0,0: 67:[84, 164] Operation: 64+100=164
Exploring Operation: 100-64=36, Resulting Numbers: [84, 36]
Generated Node #0,0,1: 67:[84, 36] Operation: 100-64=36
Exploring Operation: 84-64=20, Resulting Numbers: [100, 20]
Generated Node #0,0,2: 67:[100, 20] Operation: 84-64=20
Exploring Operation: 64+84=148, Resulting Numbers: [100, 148]
Generated Node #0,0,3: 67:[100, 148] Operation: 64+84=148
Exploring Operation: 100-84=16, Resulting Numbers: [64, 16]
Generated Node #0,0,4: 67:[64, 16] Operation: 100-84=16
Moving to Node #0,3
Current State: 67:[64, 46, 30], Operations: ['84-54=30']
Exploring Operation: 46+30=76, Resulting Numbers: [64, 76]
Generated Node #0,3,0: 67:[64, 76] Operation: 46+30=76
Exploring Operation: 64+30=94, Resulting Numbers: [46, 94]
Generated Node #0,3,1: 67:[46, 94] Operation: 64+30=94
Exploring Operation: 46-30=16, Resulting Numbers: [64, 16]
Generated Node #0,3,2: 67:[64, 16] Operation: 46-30=16
Exploring Operation: 64+46=110, Resulting Numbers: [30, 110]
Generated Node #0,3,3: 67:[30, 110] Operation: 64+46=110
Exploring Operation: 64-30=34, Resulting Numbers: [46, 34]
Generated Node #0,3,4: 67:[46, 34] Operation: 64-30=34
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 67:[64, 76], Operations: ['84-54=30', '46+30=76']
Exploring Operation: 64*76=4864, Resulting Numbers: [4864]
4864,67 unequal: No Solution
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 64+76=140, Resulting Numbers: [140]
140,67 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 #0,3,1
Current State: 67:[46, 94], Operations: ['84-54=30', '64+30=94']
Exploring Operation: 94-46=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 46+94=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 46*94=4324, Resulting Numbers: [4324]
4324,67 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 #0,3,2
Current State: 67:[64, 16], Operations: ['84-54=30', '46-30=16']
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 64*16=1024, Resulting Numbers: [1024]
1024,67 unequal: No Solution
Exploring Operation: 64+16=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,67 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 #0,3,4
Current State: 67:[46, 34], Operations: ['84-54=30', '64-30=34']
Exploring Operation: 46*34=1564, Resulting Numbers: [1564]
1564,67 unequal: No Solution
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,67 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 #0,3,3
Current State: 67:[30, 110], Operations: ['84-54=30', '64+46=110']
Exploring Operation: 110-30=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 30+110=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 30*110=3300, Resulting Numbers: [3300]
3300,67 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: 67:[54, 84, 110], Operations: ['64+46=110']
Exploring Operation: 54+110=164, Resulting Numbers: [84, 164]
Generated Node #0,2,0: 67:[84, 164] Operation: 54+110=164
Exploring Operation: 110-84=26, Resulting Numbers: [54, 26]
Generated Node #0,2,1: 67:[54, 26] Operation: 110-84=26
Exploring Operation: 84-54=30, Resulting Numbers: [110, 30]
Generated Node #0,2,2: 67:[110, 30] Operation: 84-54=30
Exploring Operation: 110-54=56, Resulting Numbers: [84, 56]
Generated Node #0,2,3: 67:[84, 56] Operation: 110-54=56
Exploring Operation: 54+84=138, Resulting Numbers: [110, 138]
Generated Node #0,2,4: 67:[110, 138] Operation: 54+84=138
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 67:[84, 56], Operations: ['64+46=110', '110-54=56']
Exploring Operation: 84-56=28, Resulting Numbers: [28]
28,67 unequal: No Solution
Exploring Operation: 84*56=4704, Resulting Numbers: [4704]
4704,67 unequal: No Solution
Exploring Operation: 84+56=140, Resulting Numbers: [140]
140,67 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 #0,2,1
Current State: 67:[54, 26], Operations: ['64+46=110', '110-84=26']
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,67 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,67 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 #0,2,2
Current State: 67:[110, 30], Operations: ['64+46=110', '84-54=30']
Exploring Operation: 110*30=3300, Resulting Numbers: [3300]
3300,67 unequal: No Solution
Exploring Operation: 110-30=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 110+30=140, Resulting Numbers: [140]
140,67 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 #0,2,0
Current State: 67:[84, 164], Operations: ['64+46=110', '54+110=164']
Exploring Operation: 164-84=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 84*164=13776, Resulting Numbers: [13776]
13776,67 unequal: No Solution
Exploring Operation: 84+164=248, Resulting Numbers: [248]
248,67 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 #0,2,4
Current State: 67:[110, 138], Operations: ['64+46=110', '54+84=138']
Exploring Operation: 110+138=248, Resulting Numbers: [248]
248,67 unequal: No Solution
Exploring Operation: 110*138=15180, Resulting Numbers: [15180]
15180,67 unequal: No Solution
Exploring Operation: 138-110=28, Resulting Numbers: [28]
28,67 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: 67:[64, 84, 8], Operations: ['54-46=8']
Exploring Operation: 84-8=76, Resulting Numbers: [64, 76]
Generated Node #0,1,0: 67:[64, 76] Operation: 84-8=76
Exploring Operation: 84+8=92, Resulting Numbers: [64, 92]
Generated Node #0,1,1: 67:[64, 92] Operation: 84+8=92
Exploring Operation: 64+8=72, Resulting Numbers: [84, 72]
Generated Node #0,1,2: 67:[84, 72] Operation: 64+8=72
Exploring Operation: 64-8=56, Resulting Numbers: [84, 56]
Generated Node #0,1,3: 67:[84, 56] Operation: 64-8=56
Exploring Operation: 64/8=8, Resulting Numbers: [84, 8]
Generated Node #0,1,4: 67:[84, 8] Operation: 64/8=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[64, 76], Operations: ['54-46=8', '84-8=76']
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 64*76=4864, Resulting Numbers: [4864]
4864,67 unequal: No Solution
Exploring Operation: 64+76=140, Resulting Numbers: [140]
140,67 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 #0,1,2
Current State: 67:[84, 72], Operations: ['54-46=8', '64+8=72']
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 84+72=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 84*72=6048, Resulting Numbers: [6048]
6048,67 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 #0,1,1
Current State: 67:[64, 92], Operations: ['54-46=8', '84+8=92']
Exploring Operation: 64*92=5888, Resulting Numbers: [5888]
5888,67 unequal: No Solution
Exploring Operation: 64+92=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,67 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 #0,1,3
Current State: 67:[84, 56], Operations: ['54-46=8', '64-8=56']
Exploring Operation: 84+56=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 84-56=28, Resulting Numbers: [28]
28,67 unequal: No Solution
Exploring Operation: 84*56=4704, Resulting Numbers: [4704]
4704,67 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 #0,1,4
Current State: 67:[84, 8], Operations: ['54-46=8', '64/8=8']
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,67 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 67:[64, 92], Operations: ['84-46=38', '54+38=92']
Exploring Operation: 64+92=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 64*92=5888, Resulting Numbers: [5888]
5888,67 unequal: No Solution
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[84, 36], Operations: ['54+46=100', '100-64=36']
Exploring Operation: 84+36=120, Resulting Numbers: [120]
120,67 unequal: No Solution
Exploring Operation: 84*36=3024, Resulting Numbers: [3024]
3024,67 unequal: No Solution
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Moving to Node #0,4,2
Current State: 67:[54, 102], Operations: ['84-46=38', '64+38=102']
Exploring Operation: 54+102=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 54*102=5508, Resulting Numbers: [5508]
5508,67 unequal: No Solution
Exploring Operation: 102-54=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Moving to Node #0,0,4
Current State: 67:[64, 16], Operations: ['54+46=100', '100-84=16']
Exploring Operation: 64+16=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 64*16=1024, Resulting Numbers: [1024]
1024,67 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Moving to Node #0,4,1
Current State: 67:[64, 16], Operations: ['84-46=38', '54-38=16']
Exploring Operation: 64+16=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 64*16=1024, Resulting Numbers: [1024]
1024,67 unequal: No Solution
Moving to Node #0,4,3
Current State: 67:[54, 26], Operations: ['84-46=38', '64-38=26']
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,67 unequal: No Solution
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,67 unequal: No Solution
Moving to Node #0,4,4
Current State: 67:[38, 118], Operations: ['84-46=38', '54+64=118']
Exploring Operation: 38+118=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 38*118=4484, Resulting Numbers: [4484]
4484,67 unequal: No Solution
Exploring Operation: 118-38=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[100, 20], Operations: ['54+46=100', '84-64=20']
Exploring Operation: 100/20=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 100-20=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 100*20=2000, Resulting Numbers: [2000]
2000,67 unequal: No Solution
Exploring Operation: 100+20=120, Resulting Numbers: [120]
120,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[100, 148], Operations: ['54+46=100', '64+84=148']
Exploring Operation: 148-100=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 100+148=248, Resulting Numbers: [248]
248,67 unequal: No Solution
Exploring Operation: 100*148=14800, Resulting Numbers: [14800]
14800,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[84, 164], Operations: ['54+46=100', '64+100=164']
Exploring Operation: 164-84=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 84*164=13776, Resulting Numbers: [13776]
13776,67 unequal: No Solution
Exploring Operation: 84+164=248, Resulting Numbers: [248]
248,67 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
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