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 |
|---|---|---|---|---|---|---|---|---|
[
53,
82,
18,
65
] | 54 |
[
"82-53=29",
"18+65=83",
"83-29=54"
] |
Current State: 54:[53, 82, 18, 65], Operations: []
Exploring Operation: 82-53=29, Resulting Numbers: [18, 65, 29]
Generated Node #2: [18, 65, 29] from Operation: 82-53=29
Current State: 54:[18, 65, 29], Operations: ['82-53=29']
Exploring Operation: 18+65=83, Resulting Numbers: [29, 83]
Generated Node #3: [29, 83] from Operation: 18+65=83
Current State: 54:[29, 83], Operations: ['82-53=29', '18+65=83']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[53, 82, 18, 65], Operations: []
Exploring Operation: 82-65=17, Resulting Numbers: [53, 18, 17]
Generated Node #0,0: 54:[53, 18, 17] Operation: 82-65=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[53, 18, 17], Operations: ['82-65=17']
Exploring Operation: 18-17=1, Resulting Numbers: [53, 1]
Generated Node #0,0,0: 54:[53, 1] Operation: 18-17=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[53, 1], Operations: ['82-65=17', '18-17=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[53, 82, 18, 65], Operations: []
Exploring Operation: 82-65=17, Resulting Numbers: [53, 18, 17]
Generated Node #0,0: 54:[53, 18, 17] Operation: 82-65=17
Moving to Node #0,0
Current State: 54:[53, 18, 17], Operations: ['82-65=17']
Exploring Operation: 18-17=1, Resulting Numbers: [53, 1]
Generated Node #0,0,0: 54:[53, 1] Operation: 18-17=1
Moving to Node #0,0,0
Current State: 54:[53, 1], Operations: ['82-65=17', '18-17=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
85,
26,
37,
88
] | 93 |
[
"37-26=11",
"88/11=8",
"85+8=93"
] |
Current State: 93:[85, 26, 37, 88], Operations: []
Exploring Operation: 37-26=11, Resulting Numbers: [85, 88, 11]
Generated Node #2: [85, 88, 11] from Operation: 37-26=11
Current State: 93:[85, 88, 11], Operations: ['37-26=11']
Exploring Operation: 88/11=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 88/11=8
Current State: 93:[85, 8], Operations: ['37-26=11', '88/11=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[85, 26, 37, 88], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [26, 37, 3]
Generated Node #0,0: 93:[26, 37, 3] Operation: 88-85=3
Exploring Operation: 37-26=11, Resulting Numbers: [85, 88, 11]
Generated Node #0,1: 93:[85, 88, 11] Operation: 37-26=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[26, 37, 3], Operations: ['88-85=3']
Exploring Operation: 37-26=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 93:[3, 11] Operation: 37-26=11
Exploring Operation: 26+3=29, Resulting Numbers: [37, 29]
Generated Node #0,0,1: 93:[37, 29] Operation: 26+3=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[3, 11], Operations: ['88-85=3', '37-26=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[37, 29], Operations: ['88-85=3', '26+3=29']
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[85, 88, 11], Operations: ['37-26=11']
Exploring Operation: 88-85=3, Resulting Numbers: [11, 3]
Generated Node #0,1,0: 93:[11, 3] Operation: 88-85=3
Exploring Operation: 85+11=96, Resulting Numbers: [88, 96]
Generated Node #0,1,1: 93:[88, 96] Operation: 85+11=96
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[11, 3], Operations: ['37-26=11', '88-85=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[88, 96], Operations: ['37-26=11', '85+11=96']
Exploring Operation: 96-88=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 88+96=184, Resulting Numbers: [184]
184,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
88,
24,
22,
99
] | 26 |
[
"99-88=11",
"22/11=2",
"24+2=26"
] |
Current State: 26:[88, 24, 22, 99], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [24, 22, 11]
Generated Node #2: [24, 22, 11] from Operation: 99-88=11
Current State: 26:[24, 22, 11], Operations: ['99-88=11']
Exploring Operation: 22/11=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 22/11=2
Current State: 26:[24, 2], Operations: ['99-88=11', '22/11=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[88, 24, 22, 99], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [22, 99, 64]
Generated Node #0,0: 26:[22, 99, 64] Operation: 88-24=64
Exploring Operation: 99-88=11, Resulting Numbers: [24, 22, 11]
Generated Node #0,1: 26:[24, 22, 11] Operation: 99-88=11
Exploring Operation: 88-22=66, Resulting Numbers: [24, 99, 66]
Generated Node #0,2: 26:[24, 99, 66] Operation: 88-22=66
Exploring Operation: 88/22=4, Resulting Numbers: [24, 99, 4]
Generated Node #0,3: 26:[24, 99, 4] Operation: 88/22=4
Exploring Operation: 99-24=75, Resulting Numbers: [88, 22, 75]
Generated Node #0,4: 26:[88, 22, 75] Operation: 99-24=75
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[24, 22, 11], Operations: ['99-88=11']
Exploring Operation: 22/11=2, Resulting Numbers: [24, 2]
Generated Node #0,1,0: 26:[24, 2] Operation: 22/11=2
Exploring Operation: 22+11=33, Resulting Numbers: [24, 33]
Generated Node #0,1,1: 26:[24, 33] Operation: 22+11=33
Exploring Operation: 22-11=11, Resulting Numbers: [24, 11]
Generated Node #0,1,2: 26:[24, 11] Operation: 22-11=11
Exploring Operation: 24-11=13, Resulting Numbers: [22, 13]
Generated Node #0,1,3: 26:[22, 13] Operation: 24-11=13
Exploring Operation: 24-22=2, Resulting Numbers: [11, 2]
Generated Node #0,1,4: 26:[11, 2] Operation: 24-22=2
Moving to Node #0,1,0
Current State: 26:[24, 2], Operations: ['99-88=11', '22/11=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[88, 24, 22, 99], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [24, 22, 11]
Generated Node #0,1: 26:[24, 22, 11] Operation: 99-88=11
Moving to Node #0,1
Current State: 26:[24, 22, 11], Operations: ['99-88=11']
Exploring Operation: 22/11=2, Resulting Numbers: [24, 2]
Generated Node #0,1,0: 26:[24, 2] Operation: 22/11=2
Moving to Node #0,1,0
Current State: 26:[24, 2], Operations: ['99-88=11', '22/11=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
mult_heuristic
|
[
64,
5,
34,
2
] | 44 |
[
"64+34=98",
"98/2=49",
"49-5=44"
] |
Current State: 44:[64, 5, 34, 2], Operations: []
Exploring Operation: 64+34=98, Resulting Numbers: [5, 2, 98]
Generated Node #2: [5, 2, 98] from Operation: 64+34=98
Current State: 44:[5, 2, 98], Operations: ['64+34=98']
Exploring Operation: 98/2=49, Resulting Numbers: [5, 49]
Generated Node #3: [5, 49] from Operation: 98/2=49
Current State: 44:[5, 49], Operations: ['64+34=98', '98/2=49']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
Current State: 44:[64, 5, 34, 2], Operations: []
Exploring Operation: 64/2=32, Resulting Numbers: [5, 34, 32]
Generated Node #0,0: 44:[5, 34, 32] Operation: 64/2=32
Exploring Operation: 64-34=30, Resulting Numbers: [5, 2, 30]
Generated Node #0,1: 44:[5, 2, 30] Operation: 64-34=30
Moving to Node #0,1
Current State: 44:[5, 2, 30], Operations: ['64-34=30']
Exploring Operation: 30-5=25, Resulting Numbers: [2, 25]
Generated Node #0,1,0: 44:[2, 25] Operation: 30-5=25
Exploring Operation: 30/5=6, Resulting Numbers: [2, 6]
Generated Node #0,1,1: 44:[2, 6] Operation: 30/5=6
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[2, 6], Operations: ['64-34=30', '30/5=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,44 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 #0,1,0
Current State: 44:[2, 25], Operations: ['64-34=30', '30-5=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,44 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: 44:[5, 34, 32], Operations: ['64/2=32']
Exploring Operation: 5+34=39, Resulting Numbers: [32, 39]
Generated Node #0,0,0: 44:[32, 39] Operation: 5+34=39
Exploring Operation: 34-32=2, Resulting Numbers: [5, 2]
Generated Node #0,0,1: 44:[5, 2] Operation: 34-32=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[5, 2], Operations: ['64/2=32', '34-32=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 5-2=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:[32, 39], Operations: ['64/2=32', '5+34=39']
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 32+39=71, Resulting Numbers: [71]
71,44 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
|
[
9,
6,
13,
46
] | 56 |
[
"9-6=3",
"13+46=59",
"59-3=56"
] |
Current State: 56:[9, 6, 13, 46], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [13, 46, 3]
Generated Node #2: [13, 46, 3] from Operation: 9-6=3
Current State: 56:[13, 46, 3], Operations: ['9-6=3']
Exploring Operation: 13+46=59, Resulting Numbers: [3, 59]
Generated Node #3: [3, 59] from Operation: 13+46=59
Current State: 56:[3, 59], Operations: ['9-6=3', '13+46=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[9, 6, 13, 46], Operations: []
Exploring Operation: 9+46=55, Resulting Numbers: [6, 13, 55]
Generated Node #0,0: 56:[6, 13, 55] Operation: 9+46=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[6, 13, 55], Operations: ['9+46=55']
Exploring Operation: 13-6=7, Resulting Numbers: [55, 7]
Generated Node #0,0,0: 56:[55, 7] Operation: 13-6=7
Moving to Node #0,0,0
Current State: 56:[55, 7], Operations: ['9+46=55', '13-6=7']
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,56 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,
36,
84,
59
] | 42 |
[
"59-45=14",
"84/14=6",
"36+6=42"
] |
Current State: 42:[45, 36, 84, 59], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [36, 84, 14]
Generated Node #2: [36, 84, 14] from Operation: 59-45=14
Current State: 42:[36, 84, 14], Operations: ['59-45=14']
Exploring Operation: 84/14=6, Resulting Numbers: [36, 6]
Generated Node #3: [36, 6] from Operation: 84/14=6
Current State: 42:[36, 6], Operations: ['59-45=14', '84/14=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
Current State: 42:[45, 36, 84, 59], Operations: []
Exploring Operation: 59-36=23, Resulting Numbers: [45, 84, 23]
Generated Node #0,0: 42:[45, 84, 23] Operation: 59-36=23
Exploring Operation: 84-45=39, Resulting Numbers: [36, 59, 39]
Generated Node #0,1: 42:[36, 59, 39] Operation: 84-45=39
Exploring Operation: 84-36=48, Resulting Numbers: [45, 59, 48]
Generated Node #0,2: 42:[45, 59, 48] Operation: 84-36=48
Exploring Operation: 84-59=25, Resulting Numbers: [45, 36, 25]
Generated Node #0,3: 42:[45, 36, 25] Operation: 84-59=25
Moving to Node #0,3
Current State: 42:[45, 36, 25], Operations: ['84-59=25']
Exploring Operation: 36-25=11, Resulting Numbers: [45, 11]
Generated Node #0,3,0: 42:[45, 11] Operation: 36-25=11
Exploring Operation: 45-25=20, Resulting Numbers: [36, 20]
Generated Node #0,3,1: 42:[36, 20] Operation: 45-25=20
Exploring Operation: 36+25=61, Resulting Numbers: [45, 61]
Generated Node #0,3,2: 42:[45, 61] Operation: 36+25=61
Exploring Operation: 45-36=9, Resulting Numbers: [25, 9]
Generated Node #0,3,3: 42:[25, 9] Operation: 45-36=9
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 42:[45, 11], Operations: ['84-59=25', '36-25=11']
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,42 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,42 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:[25, 9], Operations: ['84-59=25', '45-36=9']
Exploring Operation: 25*9=225, Resulting Numbers: [225]
225,42 unequal: No Solution
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,42 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:[36, 20], Operations: ['84-59=25', '45-25=20']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,42 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 #0,3,2
Current State: 42:[45, 61], Operations: ['84-59=25', '36+25=61']
Exploring Operation: 45*61=2745, Resulting Numbers: [2745]
2745,42 unequal: No Solution
Exploring Operation: 45+61=106, Resulting Numbers: [106]
106,42 unequal: No Solution
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,42 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: 42:[45, 59, 48], Operations: ['84-36=48']
Exploring Operation: 48-45=3, Resulting Numbers: [59, 3]
Generated Node #0,2,0: 42:[59, 3] Operation: 48-45=3
Exploring Operation: 59-48=11, Resulting Numbers: [45, 11]
Generated Node #0,2,1: 42:[45, 11] Operation: 59-48=11
Exploring Operation: 59-45=14, Resulting Numbers: [48, 14]
Generated Node #0,2,2: 42:[48, 14] Operation: 59-45=14
Exploring Operation: 45+59=104, Resulting Numbers: [48, 104]
Generated Node #0,2,3: 42:[48, 104] Operation: 45+59=104
Moving to Node #0,1
Current State: 42:[36, 59, 39], Operations: ['84-45=39']
Exploring Operation: 59-39=20, Resulting Numbers: [36, 20]
Generated Node #0,1,0: 42:[36, 20] Operation: 59-39=20
Exploring Operation: 36+39=75, Resulting Numbers: [59, 75]
Generated Node #0,1,1: 42:[59, 75] Operation: 36+39=75
Exploring Operation: 59-36=23, Resulting Numbers: [39, 23]
Generated Node #0,1,2: 42:[39, 23] Operation: 59-36=23
Exploring Operation: 39-36=3, Resulting Numbers: [59, 3]
Generated Node #0,1,3: 42:[59, 3] Operation: 39-36=3
Moving to Node #0,0
Current State: 42:[45, 84, 23], Operations: ['59-36=23']
Exploring Operation: 84-45=39, Resulting Numbers: [23, 39]
Generated Node #0,0,0: 42:[23, 39] Operation: 84-45=39
Exploring Operation: 45-23=22, Resulting Numbers: [84, 22]
Generated Node #0,0,1: 42:[84, 22] Operation: 45-23=22
Exploring Operation: 45+23=68, Resulting Numbers: [84, 68]
Generated Node #0,0,2: 42:[84, 68] Operation: 45+23=68
Exploring Operation: 84-23=61, Resulting Numbers: [45, 61]
Generated Node #0,0,3: 42:[45, 61] Operation: 84-23=61
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[23, 39], Operations: ['59-36=23', '84-45=39']
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,42 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,42 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:[45, 61], Operations: ['59-36=23', '84-23=61']
Exploring Operation: 45*61=2745, Resulting Numbers: [2745]
2745,42 unequal: No Solution
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 45+61=106, Resulting Numbers: [106]
106,42 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:[84, 22], Operations: ['59-36=23', '45-23=22']
Exploring Operation: 84+22=106, Resulting Numbers: [106]
106,42 unequal: No Solution
Exploring Operation: 84*22=1848, Resulting Numbers: [1848]
1848,42 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,42 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 #0,0,2
Current State: 42:[84, 68], Operations: ['59-36=23', '45+23=68']
Exploring Operation: 84+68=152, Resulting Numbers: [152]
152,42 unequal: No Solution
Exploring Operation: 84*68=5712, Resulting Numbers: [5712]
5712,42 unequal: No Solution
Exploring Operation: 84-68=16, Resulting Numbers: [16]
16,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 42:[39, 23], Operations: ['84-45=39', '59-36=23']
Exploring Operation: 39*23=897, Resulting Numbers: [897]
897,42 unequal: No Solution
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[45, 11], Operations: ['84-36=48', '59-48=11']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,42 unequal: No Solution
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[48, 14], Operations: ['84-36=48', '59-45=14']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 48+14=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Exploring Operation: 48*14=672, Resulting Numbers: [672]
672,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[36, 20], Operations: ['84-45=39', '59-39=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[59, 3], Operations: ['84-36=48', '48-45=3']
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,42 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Moving to Node #0,1,3
Current State: 42:[59, 3], Operations: ['84-45=39', '39-36=3']
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,42 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[59, 75], Operations: ['84-45=39', '36+39=75']
Exploring Operation: 59*75=4425, Resulting Numbers: [4425]
4425,42 unequal: No Solution
Exploring Operation: 59+75=134, Resulting Numbers: [134]
134,42 unequal: No Solution
Exploring Operation: 75-59=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Moving to Node #0,2,3
Current State: 42:[48, 104], Operations: ['84-36=48', '45+59=104']
Exploring Operation: 104-48=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 48+104=152, Resulting Numbers: [152]
152,42 unequal: No Solution
Exploring Operation: 48*104=4992, Resulting Numbers: [4992]
4992,42 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
9,
41,
35,
85
] | 82 |
[
"41-9=32",
"85-35=50",
"32+50=82"
] |
Current State: 82:[9, 41, 35, 85], Operations: []
Exploring Operation: 41-9=32, Resulting Numbers: [35, 85, 32]
Generated Node #2: [35, 85, 32] from Operation: 41-9=32
Current State: 82:[35, 85, 32], Operations: ['41-9=32']
Exploring Operation: 85-35=50, Resulting Numbers: [32, 50]
Generated Node #3: [32, 50] from Operation: 85-35=50
Current State: 82:[32, 50], Operations: ['41-9=32', '85-35=50']
Exploring Operation: 32+50=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[9, 41, 35, 85], Operations: []
Exploring Operation: 85-9=76, Resulting Numbers: [41, 35, 76]
Generated Node #0,0: 82:[41, 35, 76] Operation: 85-9=76
Exploring Operation: 9+35=44, Resulting Numbers: [41, 85, 44]
Generated Node #0,1: 82:[41, 85, 44] Operation: 9+35=44
Moving to Node #0,1
Current State: 82:[41, 85, 44], Operations: ['9+35=44']
Exploring Operation: 44-41=3, Resulting Numbers: [85, 3]
Generated Node #0,1,0: 82:[85, 3] Operation: 44-41=3
Exploring Operation: 85-44=41, Resulting Numbers: [41, 41]
Generated Node #0,1,1: 82:[41, 41] Operation: 85-44=41
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 82:[41, 41], Operations: ['9+35=44', '85-44=41']
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[9, 41, 35, 85], Operations: []
Exploring Operation: 9+35=44, Resulting Numbers: [41, 85, 44]
Generated Node #0,1: 82:[41, 85, 44] Operation: 9+35=44
Moving to Node #0,1
Current State: 82:[41, 85, 44], Operations: ['9+35=44']
Exploring Operation: 85-44=41, Resulting Numbers: [41, 41]
Generated Node #0,1,1: 82:[41, 41] Operation: 85-44=41
Moving to Node #0,1,1
Current State: 82:[41, 41], Operations: ['9+35=44', '85-44=41']
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
sum_heuristic
|
[
3,
56,
19,
60
] | 31 |
[
"60-56=4",
"3*4=12",
"19+12=31"
] |
Current State: 31:[3, 56, 19, 60], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [3, 19, 4]
Generated Node #2: [3, 19, 4] from Operation: 60-56=4
Current State: 31:[3, 19, 4], Operations: ['60-56=4']
Exploring Operation: 3*4=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 3*4=12
Current State: 31:[19, 12], Operations: ['60-56=4', '3*4=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
Current State: 31:[3, 56, 19, 60], Operations: []
Exploring Operation: 3+19=22, Resulting Numbers: [56, 60, 22]
Generated Node #0,0: 31:[56, 60, 22] Operation: 3+19=22
Exploring Operation: 60-3=57, Resulting Numbers: [56, 19, 57]
Generated Node #0,1: 31:[56, 19, 57] Operation: 60-3=57
Exploring Operation: 56-3=53, Resulting Numbers: [19, 60, 53]
Generated Node #0,2: 31:[19, 60, 53] Operation: 56-3=53
Exploring Operation: 60/3=20, Resulting Numbers: [56, 19, 20]
Generated Node #0,3: 31:[56, 19, 20] Operation: 60/3=20
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[56, 19, 20], Operations: ['60/3=20']
Exploring Operation: 56-19=37, Resulting Numbers: [20, 37]
Generated Node #0,3,0: 31:[20, 37] Operation: 56-19=37
Exploring Operation: 56-20=36, Resulting Numbers: [19, 36]
Generated Node #0,3,1: 31:[19, 36] Operation: 56-20=36
Exploring Operation: 56+19=75, Resulting Numbers: [20, 75]
Generated Node #0,3,2: 31:[20, 75] Operation: 56+19=75
Exploring Operation: 19+20=39, Resulting Numbers: [56, 39]
Generated Node #0,3,3: 31:[56, 39] Operation: 19+20=39
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 31:[20, 37], Operations: ['60/3=20', '56-19=37']
Exploring Operation: 20*37=740, Resulting Numbers: [740]
740,31 unequal: No Solution
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 31:[19, 36], Operations: ['60/3=20', '56-20=36']
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,31 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,31 unequal: No Solution
Exploring Operation: 19*36=684, Resulting Numbers: [684]
684,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 31:[56, 39], Operations: ['60/3=20', '19+20=39']
Exploring Operation: 56-39=17, Resulting Numbers: [17]
17,31 unequal: No Solution
Exploring Operation: 56+39=95, Resulting Numbers: [95]
95,31 unequal: No Solution
Exploring Operation: 56*39=2184, Resulting Numbers: [2184]
2184,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 31:[20, 75], Operations: ['60/3=20', '56+19=75']
Exploring Operation: 20*75=1500, Resulting Numbers: [1500]
1500,31 unequal: No Solution
Exploring Operation: 20+75=95, Resulting Numbers: [95]
95,31 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[56, 60, 22], Operations: ['3+19=22']
Exploring Operation: 60-56=4, Resulting Numbers: [22, 4]
Generated Node #0,0,0: 31:[22, 4] Operation: 60-56=4
Exploring Operation: 56+22=78, Resulting Numbers: [60, 78]
Generated Node #0,0,1: 31:[60, 78] Operation: 56+22=78
Exploring Operation: 56-22=34, Resulting Numbers: [60, 34]
Generated Node #0,0,2: 31:[60, 34] Operation: 56-22=34
Exploring Operation: 60-22=38, Resulting Numbers: [56, 38]
Generated Node #0,0,3: 31:[56, 38] Operation: 60-22=38
Moving to Node #0,0,2
Current State: 31:[60, 34], Operations: ['3+19=22', '56-22=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[56, 38], Operations: ['3+19=22', '60-22=38']
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 56*38=2128, Resulting Numbers: [2128]
2128,31 unequal: No Solution
Exploring Operation: 56+38=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[22, 4], Operations: ['3+19=22', '60-56=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,31 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[60, 78], Operations: ['3+19=22', '56+22=78']
Exploring Operation: 60*78=4680, Resulting Numbers: [4680]
4680,31 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 60+78=138, Resulting Numbers: [138]
138,31 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
Current State: 31:[56, 19, 57], Operations: ['60-3=57']
Exploring Operation: 57-19=38, Resulting Numbers: [56, 38]
Generated Node #0,1,0: 31:[56, 38] Operation: 57-19=38
Exploring Operation: 57/19=3, Resulting Numbers: [56, 3]
Generated Node #0,1,1: 31:[56, 3] Operation: 57/19=3
Exploring Operation: 56-19=37, Resulting Numbers: [57, 37]
Generated Node #0,1,2: 31:[57, 37] Operation: 56-19=37
Exploring Operation: 57-56=1, Resulting Numbers: [19, 1]
Generated Node #0,1,3: 31:[19, 1] Operation: 57-56=1
Moving to Node #0,1,0
Current State: 31:[56, 38], Operations: ['60-3=57', '57-19=38']
Exploring Operation: 56*38=2128, Resulting Numbers: [2128]
2128,31 unequal: No Solution
Exploring Operation: 56+38=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[57, 37], Operations: ['60-3=57', '56-19=37']
Exploring Operation: 57*37=2109, Resulting Numbers: [2109]
2109,31 unequal: No Solution
Exploring Operation: 57+37=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Exploring Operation: 57-37=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[19, 1], Operations: ['60-3=57', '57-56=1']
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,31 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,31 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[56, 3], Operations: ['60-3=57', '57/19=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 56*3=168, Resulting Numbers: [168]
168,31 unequal: No Solution
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,31 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 #0,2
Current State: 31:[19, 60, 53], Operations: ['56-3=53']
Exploring Operation: 60-53=7, Resulting Numbers: [19, 7]
Generated Node #0,2,0: 31:[19, 7] Operation: 60-53=7
Exploring Operation: 19+60=79, Resulting Numbers: [53, 79]
Generated Node #0,2,1: 31:[53, 79] Operation: 19+60=79
Exploring Operation: 53-19=34, Resulting Numbers: [60, 34]
Generated Node #0,2,2: 31:[60, 34] Operation: 53-19=34
Exploring Operation: 60-19=41, Resulting Numbers: [53, 41]
Generated Node #0,2,3: 31:[53, 41] Operation: 60-19=41
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 31:[60, 34], Operations: ['56-3=53', '53-19=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 31:[53, 41], Operations: ['56-3=53', '60-19=41']
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 53*41=2173, Resulting Numbers: [2173]
2173,31 unequal: No Solution
Exploring Operation: 53+41=94, Resulting Numbers: [94]
94,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 31:[19, 7], Operations: ['56-3=53', '60-53=7']
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,31 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 31:[53, 79], Operations: ['56-3=53', '19+60=79']
Exploring Operation: 53+79=132, Resulting Numbers: [132]
132,31 unequal: No Solution
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 53*79=4187, Resulting Numbers: [4187]
4187,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
87,
4,
64,
52
] | 57 |
[
"87+64=151",
"4*52=208",
"208-151=57"
] |
Current State: 57:[87, 4, 64, 52], Operations: []
Exploring Operation: 87+64=151, Resulting Numbers: [4, 52, 151]
Generated Node #2: [4, 52, 151] from Operation: 87+64=151
Current State: 57:[4, 52, 151], Operations: ['87+64=151']
Exploring Operation: 4*52=208, Resulting Numbers: [151, 208]
Generated Node #3: [151, 208] from Operation: 4*52=208
Current State: 57:[151, 208], Operations: ['87+64=151', '4*52=208']
Exploring Operation: 208-151=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
Current State: 57:[87, 4, 64, 52], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [4, 64, 35]
Generated Node #0,0: 57:[4, 64, 35] Operation: 87-52=35
Exploring Operation: 87-64=23, Resulting Numbers: [4, 52, 23]
Generated Node #0,1: 57:[4, 52, 23] Operation: 87-64=23
Exploring Operation: 64/4=16, Resulting Numbers: [87, 52, 16]
Generated Node #0,2: 57:[87, 52, 16] Operation: 64/4=16
Exploring Operation: 64-4=60, Resulting Numbers: [87, 52, 60]
Generated Node #0,3: 57:[87, 52, 60] Operation: 64-4=60
Exploring Operation: 87-4=83, Resulting Numbers: [64, 52, 83]
Generated Node #0,4: 57:[64, 52, 83] Operation: 87-4=83
Moving to Node #0,1
Current State: 57:[4, 52, 23], Operations: ['87-64=23']
Exploring Operation: 4+52=56, Resulting Numbers: [23, 56]
Generated Node #0,1,0: 57:[23, 56] Operation: 4+52=56
Exploring Operation: 52/4=13, Resulting Numbers: [23, 13]
Generated Node #0,1,1: 57:[23, 13] Operation: 52/4=13
Exploring Operation: 23-4=19, Resulting Numbers: [52, 19]
Generated Node #0,1,2: 57:[52, 19] Operation: 23-4=19
Exploring Operation: 52-23=29, Resulting Numbers: [4, 29]
Generated Node #0,1,3: 57:[4, 29] Operation: 52-23=29
Exploring Operation: 52-4=48, Resulting Numbers: [23, 48]
Generated Node #0,1,4: 57:[23, 48] Operation: 52-4=48
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[23, 56], Operations: ['87-64=23', '4+52=56']
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 23+56=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 23*56=1288, Resulting Numbers: [1288]
1288,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 57:[52, 19], Operations: ['87-64=23', '23-4=19']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 52*19=988, Resulting Numbers: [988]
988,57 unequal: No Solution
Exploring Operation: 52+19=71, Resulting Numbers: [71]
71,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[23, 13], Operations: ['87-64=23', '52/4=13']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,57 unequal: No Solution
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 57:[4, 29], Operations: ['87-64=23', '52-23=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 57:[23, 48], Operations: ['87-64=23', '52-4=48']
Exploring Operation: 23*48=1104, Resulting Numbers: [1104]
1104,57 unequal: No Solution
Exploring Operation: 23+48=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,57 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: 57:[4, 64, 35], Operations: ['87-52=35']
Exploring Operation: 64-35=29, Resulting Numbers: [4, 29]
Generated Node #0,0,0: 57:[4, 29] Operation: 64-35=29
Exploring Operation: 64/4=16, Resulting Numbers: [35, 16]
Generated Node #0,0,1: 57:[35, 16] Operation: 64/4=16
Exploring Operation: 4+35=39, Resulting Numbers: [64, 39]
Generated Node #0,0,2: 57:[64, 39] Operation: 4+35=39
Exploring Operation: 35-4=31, Resulting Numbers: [64, 31]
Generated Node #0,0,3: 57:[64, 31] Operation: 35-4=31
Exploring Operation: 64-4=60, Resulting Numbers: [35, 60]
Generated Node #0,0,4: 57:[35, 60] Operation: 64-4=60
Moving to Node #0,2
Current State: 57:[87, 52, 16], Operations: ['64/4=16']
Exploring Operation: 87-16=71, Resulting Numbers: [52, 71]
Generated Node #0,2,0: 57:[52, 71] Operation: 87-16=71
Exploring Operation: 52-16=36, Resulting Numbers: [87, 36]
Generated Node #0,2,1: 57:[87, 36] Operation: 52-16=36
Exploring Operation: 52+16=68, Resulting Numbers: [87, 68]
Generated Node #0,2,2: 57:[87, 68] Operation: 52+16=68
Exploring Operation: 87-52=35, Resulting Numbers: [16, 35]
Generated Node #0,2,3: 57:[16, 35] Operation: 87-52=35
Exploring Operation: 87+16=103, Resulting Numbers: [52, 103]
Generated Node #0,2,4: 57:[52, 103] Operation: 87+16=103
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[52, 71], Operations: ['64/4=16', '87-16=71']
Exploring Operation: 52+71=123, Resulting Numbers: [123]
123,57 unequal: No Solution
Exploring Operation: 52*71=3692, Resulting Numbers: [3692]
3692,57 unequal: No Solution
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,57 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 #0,2,3
Current State: 57:[16, 35], Operations: ['64/4=16', '87-52=35']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Exploring Operation: 16+35=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 16*35=560, Resulting Numbers: [560]
560,57 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 #0,2,2
Current State: 57:[87, 68], Operations: ['64/4=16', '52+16=68']
Exploring Operation: 87+68=155, Resulting Numbers: [155]
155,57 unequal: No Solution
Exploring Operation: 87*68=5916, Resulting Numbers: [5916]
5916,57 unequal: No Solution
Exploring Operation: 87-68=19, Resulting Numbers: [19]
19,57 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 #0,2,1
Current State: 57:[87, 36], Operations: ['64/4=16', '52-16=36']
Exploring Operation: 87*36=3132, Resulting Numbers: [3132]
3132,57 unequal: No Solution
Exploring Operation: 87+36=123, Resulting Numbers: [123]
123,57 unequal: No Solution
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,57 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 #0,2,4
Current State: 57:[52, 103], Operations: ['64/4=16', '87+16=103']
Exploring Operation: 103-52=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 52*103=5356, Resulting Numbers: [5356]
5356,57 unequal: No Solution
Exploring Operation: 52+103=155, Resulting Numbers: [155]
155,57 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: 57:[87, 52, 60], Operations: ['64-4=60']
Exploring Operation: 60-52=8, Resulting Numbers: [87, 8]
Generated Node #0,3,0: 57:[87, 8] Operation: 60-52=8
Exploring Operation: 87+52=139, Resulting Numbers: [60, 139]
Generated Node #0,3,1: 57:[60, 139] Operation: 87+52=139
Exploring Operation: 87-52=35, Resulting Numbers: [60, 35]
Generated Node #0,3,2: 57:[60, 35] Operation: 87-52=35
Exploring Operation: 87-60=27, Resulting Numbers: [52, 27]
Generated Node #0,3,3: 57:[52, 27] Operation: 87-60=27
Exploring Operation: 52+60=112, Resulting Numbers: [87, 112]
Generated Node #0,3,4: 57:[87, 112] Operation: 52+60=112
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 57:[52, 27], Operations: ['64-4=60', '87-60=27']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,57 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 #0,3,2
Current State: 57:[60, 35], Operations: ['64-4=60', '87-52=35']
Exploring Operation: 60+35=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 60*35=2100, Resulting Numbers: [2100]
2100,57 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 #0,3,0
Current State: 57:[87, 8], Operations: ['64-4=60', '60-52=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 87*8=696, Resulting Numbers: [696]
696,57 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 #0,3,1
Current State: 57:[60, 139], Operations: ['64-4=60', '87+52=139']
Exploring Operation: 60+139=199, Resulting Numbers: [199]
199,57 unequal: No Solution
Exploring Operation: 60*139=8340, Resulting Numbers: [8340]
8340,57 unequal: No Solution
Exploring Operation: 139-60=79, Resulting Numbers: [79]
79,57 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 #0,3,4
Current State: 57:[87, 112], Operations: ['64-4=60', '52+60=112']
Exploring Operation: 112-87=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 87*112=9744, Resulting Numbers: [9744]
9744,57 unequal: No Solution
Exploring Operation: 87+112=199, Resulting Numbers: [199]
199,57 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: 57:[64, 52, 83], Operations: ['87-4=83']
Exploring Operation: 83-52=31, Resulting Numbers: [64, 31]
Generated Node #0,4,0: 57:[64, 31] Operation: 83-52=31
Exploring Operation: 64+52=116, Resulting Numbers: [83, 116]
Generated Node #0,4,1: 57:[83, 116] Operation: 64+52=116
Exploring Operation: 83-64=19, Resulting Numbers: [52, 19]
Generated Node #0,4,2: 57:[52, 19] Operation: 83-64=19
Exploring Operation: 64-52=12, Resulting Numbers: [83, 12]
Generated Node #0,4,3: 57:[83, 12] Operation: 64-52=12
Exploring Operation: 52+83=135, Resulting Numbers: [64, 135]
Generated Node #0,4,4: 57:[64, 135] Operation: 52+83=135
Moving to Node #0,4,2
Current State: 57:[52, 19], Operations: ['87-4=83', '83-64=19']
Exploring Operation: 52*19=988, Resulting Numbers: [988]
988,57 unequal: No Solution
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 52+19=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[4, 29], Operations: ['87-52=35', '64-35=29']
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,57 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Moving to Node #0,4,0
Current State: 57:[64, 31], Operations: ['87-4=83', '83-52=31']
Exploring Operation: 64+31=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 64*31=1984, Resulting Numbers: [1984]
1984,57 unequal: No Solution
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[64, 31], Operations: ['87-52=35', '35-4=31']
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 64+31=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 64*31=1984, Resulting Numbers: [1984]
1984,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[35, 16], Operations: ['87-52=35', '64/4=16']
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 35*16=560, Resulting Numbers: [560]
560,57 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Moving to Node #0,0,4
Current State: 57:[35, 60], Operations: ['87-52=35', '64-4=60']
Exploring Operation: 35*60=2100, Resulting Numbers: [2100]
2100,57 unequal: No Solution
Exploring Operation: 35+60=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[64, 39], Operations: ['87-52=35', '4+35=39']
Exploring Operation: 64-39=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 64+39=103, Resulting Numbers: [103]
103,57 unequal: No Solution
Exploring Operation: 64*39=2496, Resulting Numbers: [2496]
2496,57 unequal: No Solution
Moving to Node #0,4,3
Current State: 57:[83, 12], Operations: ['87-4=83', '64-52=12']
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 83*12=996, Resulting Numbers: [996]
996,57 unequal: No Solution
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Moving to Node #0,4,4
Current State: 57:[64, 135], Operations: ['87-4=83', '52+83=135']
Exploring Operation: 64*135=8640, Resulting Numbers: [8640]
8640,57 unequal: No Solution
Exploring Operation: 64+135=199, Resulting Numbers: [199]
199,57 unequal: No Solution
Exploring Operation: 135-64=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Moving to Node #0,4,1
Current State: 57:[83, 116], Operations: ['87-4=83', '64+52=116']
Exploring Operation: 83*116=9628, Resulting Numbers: [9628]
9628,57 unequal: No Solution
Exploring Operation: 116-83=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 83+116=199, Resulting Numbers: [199]
199,57 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
31,
1,
62,
86
] | 55 |
[
"31*1=31",
"86-62=24",
"31+24=55"
] |
Current State: 55:[31, 1, 62, 86], Operations: []
Exploring Operation: 31*1=31, Resulting Numbers: [62, 86, 31]
Generated Node #2: [62, 86, 31] from Operation: 31*1=31
Current State: 55:[62, 86, 31], Operations: ['31*1=31']
Exploring Operation: 86-62=24, Resulting Numbers: [31, 24]
Generated Node #3: [31, 24] from Operation: 86-62=24
Current State: 55:[31, 24], Operations: ['31*1=31', '86-62=24']
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
Current State: 55:[31, 1, 62, 86], Operations: []
Exploring Operation: 86-31=55, Resulting Numbers: [1, 62, 55]
Generated Node #0,0: 55:[1, 62, 55] Operation: 86-31=55
Exploring Operation: 62-31=31, Resulting Numbers: [1, 86, 31]
Generated Node #0,1: 55:[1, 86, 31] Operation: 62-31=31
Exploring Operation: 86-62=24, Resulting Numbers: [31, 1, 24]
Generated Node #0,2: 55:[31, 1, 24] Operation: 86-62=24
Exploring Operation: 62/31=2, Resulting Numbers: [1, 86, 2]
Generated Node #0,3: 55:[1, 86, 2] Operation: 62/31=2
Moving to Node #0,0
Current State: 55:[1, 62, 55], Operations: ['86-31=55']
Exploring Operation: 1*62=62, Resulting Numbers: [55, 62]
Generated Node #0,0,0: 55:[55, 62] Operation: 1*62=62
Exploring Operation: 62-55=7, Resulting Numbers: [1, 7]
Generated Node #0,0,1: 55:[1, 7] Operation: 62-55=7
Exploring Operation: 62-1=61, Resulting Numbers: [55, 61]
Generated Node #0,0,2: 55:[55, 61] Operation: 62-1=61
Exploring Operation: 62/1=62, Resulting Numbers: [55, 62]
Generated Node #0,0,3: 55:[55, 62] Operation: 62/1=62
Moving to Node #0,2
Current State: 55:[31, 1, 24], Operations: ['86-62=24']
Exploring Operation: 24-1=23, Resulting Numbers: [31, 23]
Generated Node #0,2,0: 55:[31, 23] Operation: 24-1=23
Exploring Operation: 31-24=7, Resulting Numbers: [1, 7]
Generated Node #0,2,1: 55:[1, 7] Operation: 31-24=7
Exploring Operation: 31+24=55, Resulting Numbers: [1, 55]
Generated Node #0,2,2: 55:[1, 55] Operation: 31+24=55
Exploring Operation: 31-1=30, Resulting Numbers: [24, 30]
Generated Node #0,2,3: 55:[24, 30] Operation: 31-1=30
Moving to Node #0,3
Current State: 55:[1, 86, 2], Operations: ['62/31=2']
Exploring Operation: 86-1=85, Resulting Numbers: [2, 85]
Generated Node #0,3,0: 55:[2, 85] Operation: 86-1=85
Exploring Operation: 1+2=3, Resulting Numbers: [86, 3]
Generated Node #0,3,1: 55:[86, 3] Operation: 1+2=3
Exploring Operation: 86/2=43, Resulting Numbers: [1, 43]
Generated Node #0,3,2: 55:[1, 43] Operation: 86/2=43
Exploring Operation: 86-2=84, Resulting Numbers: [1, 84]
Generated Node #0,3,3: 55:[1, 84] Operation: 86-2=84
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 55:[1, 43], Operations: ['62/31=2', '86/2=43']
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,55 unequal: No Solution
Exploring Operation: 1+43=44, Resulting Numbers: [44]
44,55 unequal: No Solution
Exploring Operation: 1*43=43, Resulting Numbers: [43]
43,55 unequal: No Solution
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 55:[2, 85], Operations: ['62/31=2', '86-1=85']
Exploring Operation: 2*85=170, Resulting Numbers: [170]
170,55 unequal: No Solution
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,55 unequal: No Solution
Exploring Operation: 85-2=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 #0,3,1
Current State: 55:[86, 3], Operations: ['62/31=2', '1+2=3']
Exploring Operation: 86*3=258, Resulting Numbers: [258]
258,55 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,55 unequal: No Solution
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 55:[1, 84], Operations: ['62/31=2', '86-2=84']
Exploring Operation: 1+84=85, Resulting Numbers: [85]
85,55 unequal: No Solution
Exploring Operation: 1*84=84, Resulting Numbers: [84]
84,55 unequal: No Solution
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,55 unequal: No Solution
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,55 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: 55:[1, 86, 31], Operations: ['62-31=31']
Exploring Operation: 86-1=85, Resulting Numbers: [31, 85]
Generated Node #0,1,0: 55:[31, 85] Operation: 86-1=85
Exploring Operation: 1*86=86, Resulting Numbers: [31, 86]
Generated Node #0,1,1: 55:[31, 86] Operation: 1*86=86
Exploring Operation: 86-31=55, Resulting Numbers: [1, 55]
Generated Node #0,1,2: 55:[1, 55] Operation: 86-31=55
Exploring Operation: 31-1=30, Resulting Numbers: [86, 30]
Generated Node #0,1,3: 55:[86, 30] Operation: 31-1=30
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[1, 55], Operations: ['62-31=31', '86-31=55']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[31, 1, 62, 86], Operations: []
Exploring Operation: 62-31=31, Resulting Numbers: [1, 86, 31]
Generated Node #0,1: 55:[1, 86, 31] Operation: 62-31=31
Moving to Node #0,1
Current State: 55:[1, 86, 31], Operations: ['62-31=31']
Exploring Operation: 86-31=55, Resulting Numbers: [1, 55]
Generated Node #0,1,2: 55:[1, 55] Operation: 86-31=55
Moving to Node #0,1,2
Current State: 55:[1, 55], Operations: ['62-31=31', '86-31=55']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 |
hs_4
|
mult_heuristic
|
[
47,
15,
3,
91
] | 61 |
[
"47+91=138",
"138/3=46",
"15+46=61"
] |
Current State: 61:[47, 15, 3, 91], Operations: []
Exploring Operation: 47+91=138, Resulting Numbers: [15, 3, 138]
Generated Node #2: [15, 3, 138] from Operation: 47+91=138
Current State: 61:[15, 3, 138], Operations: ['47+91=138']
Exploring Operation: 138/3=46, Resulting Numbers: [15, 46]
Generated Node #3: [15, 46] from Operation: 138/3=46
Current State: 61:[15, 46], Operations: ['47+91=138', '138/3=46']
Exploring Operation: 15+46=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
Current State: 61:[47, 15, 3, 91], Operations: []
Exploring Operation: 47+3=50, Resulting Numbers: [15, 91, 50]
Generated Node #0,0: 61:[15, 91, 50] Operation: 47+3=50
Exploring Operation: 15*3=45, Resulting Numbers: [47, 91, 45]
Generated Node #0,1: 61:[47, 91, 45] Operation: 15*3=45
Moving to Node #0,1
Current State: 61:[47, 91, 45], Operations: ['15*3=45']
Exploring Operation: 91-47=44, Resulting Numbers: [45, 44]
Generated Node #0,1,0: 61:[45, 44] Operation: 91-47=44
Exploring Operation: 91-45=46, Resulting Numbers: [47, 46]
Generated Node #0,1,1: 61:[47, 46] Operation: 91-45=46
Moving to Node #0,0
Current State: 61:[15, 91, 50], Operations: ['47+3=50']
Exploring Operation: 91-15=76, Resulting Numbers: [50, 76]
Generated Node #0,0,0: 61:[50, 76] Operation: 91-15=76
Exploring Operation: 15+50=65, Resulting Numbers: [91, 65]
Generated Node #0,0,1: 61:[91, 65] Operation: 15+50=65
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[50, 76], Operations: ['47+3=50', '91-15=76']
Exploring Operation: 50+76=126, Resulting Numbers: [126]
126,61 unequal: No Solution
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[91, 65], Operations: ['47+3=50', '15+50=65']
Exploring Operation: 91+65=156, Resulting Numbers: [156]
156,61 unequal: No Solution
Exploring Operation: 91-65=26, Resulting Numbers: [26]
26,61 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: 61:[47, 46], Operations: ['15*3=45', '91-45=46']
Exploring Operation: 47+46=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 47-46=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[45, 44], Operations: ['15*3=45', '91-47=44']
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 45+44=89, Resulting Numbers: [89]
89,61 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
20,
15,
33,
20
] | 29 |
[
"20-15=5",
"20/5=4",
"33-4=29"
] |
Current State: 29:[20, 15, 33, 20], Operations: []
Exploring Operation: 20-15=5, Resulting Numbers: [33, 5]
Generated Node #2: [33, 5] from Operation: 20-15=5
Current State: 29:[33, 5], Operations: ['20-15=5']
Exploring Operation: 20/5=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 20/5=4
Current State: 29:[33, 4], Operations: ['20-15=5', '20/5=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
Current State: 29:[20, 15, 33, 20], Operations: []
Exploring Operation: 20+15=35, Resulting Numbers: [33, 20, 35]
Generated Node #0,0: 29:[33, 20, 35] Operation: 20+15=35
Exploring Operation: 15+20=35, Resulting Numbers: [20, 33, 35]
Generated Node #0,1: 29:[20, 33, 35] Operation: 15+20=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[33, 20, 35], Operations: ['20+15=35']
Exploring Operation: 35-20=15, Resulting Numbers: [33, 15]
Generated Node #0,0,0: 29:[33, 15] Operation: 35-20=15
Exploring Operation: 33-20=13, Resulting Numbers: [35, 13]
Generated Node #0,0,1: 29:[35, 13] Operation: 33-20=13
Moving to Node #0,0,0
Current State: 29:[33, 15], Operations: ['20+15=35', '35-20=15']
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[35, 13], Operations: ['20+15=35', '33-20=13']
Exploring Operation: 35+13=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,29 unequal: No Solution
No solution 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: 29:[20, 33, 35], Operations: ['15+20=35']
Exploring Operation: 35-20=15, Resulting Numbers: [33, 15]
Generated Node #0,1,0: 29:[33, 15] Operation: 35-20=15
Exploring Operation: 33-20=13, Resulting Numbers: [35, 13]
Generated Node #0,1,1: 29:[35, 13] Operation: 33-20=13
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 29:[33, 15], Operations: ['15+20=35', '35-20=15']
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,29 unequal: No Solution
No 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: 29:[35, 13], Operations: ['15+20=35', '33-20=13']
Exploring Operation: 35+13=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
70,
32,
22,
2
] | 98 |
[
"70-32=38",
"2*38=76",
"22+76=98"
] |
Current State: 98:[70, 32, 22, 2], Operations: []
Exploring Operation: 70-32=38, Resulting Numbers: [22, 2, 38]
Generated Node #2: [22, 2, 38] from Operation: 70-32=38
Current State: 98:[22, 2, 38], Operations: ['70-32=38']
Exploring Operation: 2*38=76, Resulting Numbers: [22, 76]
Generated Node #3: [22, 76] from Operation: 2*38=76
Current State: 98:[22, 76], Operations: ['70-32=38', '2*38=76']
Exploring Operation: 22+76=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
Current State: 98:[70, 32, 22, 2], Operations: []
Exploring Operation: 70+32=102, Resulting Numbers: [22, 2, 102]
Generated Node #0,0: 98:[22, 2, 102] Operation: 70+32=102
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[22, 2, 102], Operations: ['70+32=102']
Exploring Operation: 22/2=11, Resulting Numbers: [102, 11]
Generated Node #0,0,0: 98:[102, 11] Operation: 22/2=11
Moving to Node #0,0,0
Current State: 98:[102, 11], Operations: ['70+32=102', '22/2=11']
Exploring Operation: 102-11=91, Resulting Numbers: [91]
91,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
2,
10,
83,
68
] | 44 |
[
"10+68=78",
"78/2=39",
"83-39=44"
] |
Current State: 44:[2, 10, 83, 68], Operations: []
Exploring Operation: 10+68=78, Resulting Numbers: [2, 83, 78]
Generated Node #2: [2, 83, 78] from Operation: 10+68=78
Current State: 44:[2, 83, 78], Operations: ['10+68=78']
Exploring Operation: 78/2=39, Resulting Numbers: [83, 39]
Generated Node #3: [83, 39] from Operation: 78/2=39
Current State: 44:[83, 39], Operations: ['10+68=78', '78/2=39']
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
Current State: 44:[2, 10, 83, 68], Operations: []
Exploring Operation: 68-10=58, Resulting Numbers: [2, 83, 58]
Generated Node #0,0: 44:[2, 83, 58] Operation: 68-10=58
Exploring Operation: 83-10=73, Resulting Numbers: [2, 68, 73]
Generated Node #0,1: 44:[2, 68, 73] Operation: 83-10=73
Exploring Operation: 83-68=15, Resulting Numbers: [2, 10, 15]
Generated Node #0,2: 44:[2, 10, 15] Operation: 83-68=15
Exploring Operation: 68/2=34, Resulting Numbers: [10, 83, 34]
Generated Node #0,3: 44:[10, 83, 34] Operation: 68/2=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[2, 10, 15], Operations: ['83-68=15']
Exploring Operation: 15-10=5, Resulting Numbers: [2, 5]
Generated Node #0,2,0: 44:[2, 5] Operation: 15-10=5
Exploring Operation: 10+15=25, Resulting Numbers: [2, 25]
Generated Node #0,2,1: 44:[2, 25] Operation: 10+15=25
Exploring Operation: 15-2=13, Resulting Numbers: [10, 13]
Generated Node #0,2,2: 44:[10, 13] Operation: 15-2=13
Exploring Operation: 2+10=12, Resulting Numbers: [15, 12]
Generated Node #0,2,3: 44:[15, 12] Operation: 2+10=12
Moving to Node #0,2,0
Current State: 44:[2, 5], Operations: ['83-68=15', '15-10=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[10, 13], Operations: ['83-68=15', '15-2=13']
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,44 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Moving to Node #0,2,1
Current State: 44:[2, 25], Operations: ['83-68=15', '10+15=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,44 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[15, 12], Operations: ['83-68=15', '2+10=12']
Exploring Operation: 15*12=180, Resulting Numbers: [180]
180,44 unequal: No Solution
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 15-12=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 #0,3
Current State: 44:[10, 83, 34], Operations: ['68/2=34']
Exploring Operation: 83-34=49, Resulting Numbers: [10, 49]
Generated Node #0,3,0: 44:[10, 49] Operation: 83-34=49
Exploring Operation: 34-10=24, Resulting Numbers: [83, 24]
Generated Node #0,3,1: 44:[83, 24] Operation: 34-10=24
Exploring Operation: 10+34=44, Resulting Numbers: [83, 44]
Generated Node #0,3,2: 44:[83, 44] Operation: 10+34=44
Exploring Operation: 83-10=73, Resulting Numbers: [34, 73]
Generated Node #0,3,3: 44:[34, 73] Operation: 83-10=73
Moving to Node #0,3,0
Current State: 44:[10, 49], Operations: ['68/2=34', '83-34=49']
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 10*49=490, Resulting Numbers: [490]
490,44 unequal: No Solution
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[34, 73], Operations: ['68/2=34', '83-10=73']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 34+73=107, Resulting Numbers: [107]
107,44 unequal: No Solution
Exploring Operation: 34*73=2482, Resulting Numbers: [2482]
2482,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[83, 44], Operations: ['68/2=34', '10+34=44']
Exploring Operation: 83+44=127, Resulting Numbers: [127]
127,44 unequal: No Solution
Exploring Operation: 83*44=3652, Resulting Numbers: [3652]
3652,44 unequal: No Solution
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[83, 24], Operations: ['68/2=34', '34-10=24']
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,44 unequal: No Solution
Exploring Operation: 83+24=107, Resulting Numbers: [107]
107,44 unequal: No Solution
Exploring Operation: 83*24=1992, Resulting Numbers: [1992]
1992,44 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
Current State: 44:[2, 83, 58], Operations: ['68-10=58']
Exploring Operation: 83-2=81, Resulting Numbers: [58, 81]
Generated Node #0,0,0: 44:[58, 81] Operation: 83-2=81
Exploring Operation: 58-2=56, Resulting Numbers: [83, 56]
Generated Node #0,0,1: 44:[83, 56] Operation: 58-2=56
Exploring Operation: 58/2=29, Resulting Numbers: [83, 29]
Generated Node #0,0,2: 44:[83, 29] Operation: 58/2=29
Exploring Operation: 83-58=25, Resulting Numbers: [2, 25]
Generated Node #0,0,3: 44:[2, 25] Operation: 83-58=25
Moving to Node #0,0,3
Current State: 44:[2, 25], Operations: ['68-10=58', '83-58=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,44 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[83, 29], Operations: ['68-10=58', '58/2=29']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,44 unequal: No Solution
Exploring Operation: 83*29=2407, Resulting Numbers: [2407]
2407,44 unequal: No Solution
Exploring Operation: 83+29=112, Resulting Numbers: [112]
112,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[83, 56], Operations: ['68-10=58', '58-2=56']
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 83*56=4648, Resulting Numbers: [4648]
4648,44 unequal: No Solution
Exploring Operation: 83+56=139, Resulting Numbers: [139]
139,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[58, 81], Operations: ['68-10=58', '83-2=81']
Exploring Operation: 58+81=139, Resulting Numbers: [139]
139,44 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 58*81=4698, Resulting Numbers: [4698]
4698,44 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
Current State: 44:[2, 68, 73], Operations: ['83-10=73']
Exploring Operation: 68-2=66, Resulting Numbers: [73, 66]
Generated Node #0,1,0: 44:[73, 66] Operation: 68-2=66
Exploring Operation: 73-68=5, Resulting Numbers: [2, 5]
Generated Node #0,1,1: 44:[2, 5] Operation: 73-68=5
Exploring Operation: 68/2=34, Resulting Numbers: [73, 34]
Generated Node #0,1,2: 44:[73, 34] Operation: 68/2=34
Exploring Operation: 73-2=71, Resulting Numbers: [68, 71]
Generated Node #0,1,3: 44:[68, 71] Operation: 73-2=71
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 44:[2, 5], Operations: ['83-10=73', '73-68=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 44:[73, 34], Operations: ['83-10=73', '68/2=34']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 73+34=107, Resulting Numbers: [107]
107,44 unequal: No Solution
Exploring Operation: 73*34=2482, Resulting Numbers: [2482]
2482,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[73, 66], Operations: ['83-10=73', '68-2=66']
Exploring Operation: 73+66=139, Resulting Numbers: [139]
139,44 unequal: No Solution
Exploring Operation: 73*66=4818, Resulting Numbers: [4818]
4818,44 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 44:[68, 71], Operations: ['83-10=73', '73-2=71']
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 68+71=139, Resulting Numbers: [139]
139,44 unequal: No Solution
Exploring Operation: 68*71=4828, Resulting Numbers: [4828]
4828,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
3,
49,
84,
9
] | 78 |
[
"84-49=35",
"35-9=26",
"3*26=78"
] |
Current State: 78:[3, 49, 84, 9], Operations: []
Exploring Operation: 84-49=35, Resulting Numbers: [3, 9, 35]
Generated Node #2: [3, 9, 35] from Operation: 84-49=35
Current State: 78:[3, 9, 35], Operations: ['84-49=35']
Exploring Operation: 35-9=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 35-9=26
Current State: 78:[3, 26], Operations: ['84-49=35', '35-9=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[3, 49, 84, 9], Operations: []
Exploring Operation: 84/3=28, Resulting Numbers: [49, 9, 28]
Generated Node #0,0: 78:[49, 9, 28] Operation: 84/3=28
Exploring Operation: 84-49=35, Resulting Numbers: [3, 9, 35]
Generated Node #0,1: 78:[3, 9, 35] Operation: 84-49=35
Exploring Operation: 49-3=46, Resulting Numbers: [84, 9, 46]
Generated Node #0,2: 78:[84, 9, 46] Operation: 49-3=46
Exploring Operation: 49-9=40, Resulting Numbers: [3, 84, 40]
Generated Node #0,3: 78:[3, 84, 40] Operation: 49-9=40
Exploring Operation: 84-9=75, Resulting Numbers: [3, 49, 75]
Generated Node #0,4: 78:[3, 49, 75] Operation: 84-9=75
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[3, 9, 35], Operations: ['84-49=35']
Exploring Operation: 9-3=6, Resulting Numbers: [35, 6]
Generated Node #0,1,0: 78:[35, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [35, 3]
Generated Node #0,1,1: 78:[35, 3] Operation: 9/3=3
Exploring Operation: 3+35=38, Resulting Numbers: [9, 38]
Generated Node #0,1,2: 78:[9, 38] Operation: 3+35=38
Exploring Operation: 35-9=26, Resulting Numbers: [3, 26]
Generated Node #0,1,3: 78:[3, 26] Operation: 35-9=26
Exploring Operation: 3+9=12, Resulting Numbers: [35, 12]
Generated Node #0,1,4: 78:[35, 12] Operation: 3+9=12
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 78:[3, 26], Operations: ['84-49=35', '35-9=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[3, 49, 84, 9], Operations: []
Exploring Operation: 84-49=35, Resulting Numbers: [3, 9, 35]
Generated Node #0,1: 78:[3, 9, 35] Operation: 84-49=35
Moving to Node #0,1
Current State: 78:[3, 9, 35], Operations: ['84-49=35']
Exploring Operation: 35-9=26, Resulting Numbers: [3, 26]
Generated Node #0,1,3: 78:[3, 26] Operation: 35-9=26
Moving to Node #0,1,3
Current State: 78:[3, 26], Operations: ['84-49=35', '35-9=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
mult_heuristic
|
[
55,
15,
39,
2
] | 46 |
[
"55-39=16",
"15*2=30",
"16+30=46"
] |
Current State: 46:[55, 15, 39, 2], Operations: []
Exploring Operation: 55-39=16, Resulting Numbers: [15, 2, 16]
Generated Node #2: [15, 2, 16] from Operation: 55-39=16
Current State: 46:[15, 2, 16], Operations: ['55-39=16']
Exploring Operation: 15*2=30, Resulting Numbers: [16, 30]
Generated Node #3: [16, 30] from Operation: 15*2=30
Current State: 46:[16, 30], Operations: ['55-39=16', '15*2=30']
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[55, 15, 39, 2], Operations: []
Exploring Operation: 39-15=24, Resulting Numbers: [55, 2, 24]
Generated Node #0,0: 46:[55, 2, 24] Operation: 39-15=24
Exploring Operation: 55-39=16, Resulting Numbers: [15, 2, 16]
Generated Node #0,1: 46:[15, 2, 16] Operation: 55-39=16
Exploring Operation: 55-15=40, Resulting Numbers: [39, 2, 40]
Generated Node #0,2: 46:[39, 2, 40] Operation: 55-15=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[55, 2, 24], Operations: ['39-15=24']
Exploring Operation: 24-2=22, Resulting Numbers: [55, 22]
Generated Node #0,0,0: 46:[55, 22] Operation: 24-2=22
Exploring Operation: 55-24=31, Resulting Numbers: [2, 31]
Generated Node #0,0,1: 46:[2, 31] Operation: 55-24=31
Exploring Operation: 55-2=53, Resulting Numbers: [24, 53]
Generated Node #0,0,2: 46:[24, 53] Operation: 55-2=53
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 46:[2, 31], Operations: ['39-15=24', '55-24=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,46 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 46:[24, 53], Operations: ['39-15=24', '55-2=53']
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,46 unequal: No Solution
Exploring Operation: 24*53=1272, Resulting Numbers: [1272]
1272,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[55, 22], Operations: ['39-15=24', '24-2=22']
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[39, 2, 40], Operations: ['55-15=40']
Exploring Operation: 40-39=1, Resulting Numbers: [2, 1]
Generated Node #0,2,0: 46:[2, 1] Operation: 40-39=1
Exploring Operation: 39+2=41, Resulting Numbers: [40, 41]
Generated Node #0,2,1: 46:[40, 41] Operation: 39+2=41
Exploring Operation: 40/2=20, Resulting Numbers: [39, 20]
Generated Node #0,2,2: 46:[39, 20] Operation: 40/2=20
Moving to Node #0,2,0
Current State: 46:[2, 1], Operations: ['55-15=40', '40-39=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[39, 20], Operations: ['55-15=40', '40/2=20']
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 39*20=780, Resulting Numbers: [780]
780,46 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[40, 41], Operations: ['55-15=40', '39+2=41']
Exploring Operation: 40+41=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Exploring Operation: 40*41=1640, Resulting Numbers: [1640]
1640,46 unequal: No Solution
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[15, 2, 16], Operations: ['55-39=16']
Exploring Operation: 16-15=1, Resulting Numbers: [2, 1]
Generated Node #0,1,0: 46:[2, 1] Operation: 16-15=1
Exploring Operation: 15+16=31, Resulting Numbers: [2, 31]
Generated Node #0,1,1: 46:[2, 31] Operation: 15+16=31
Exploring Operation: 15+2=17, Resulting Numbers: [16, 17]
Generated Node #0,1,2: 46:[16, 17] Operation: 15+2=17
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[2, 1], Operations: ['55-39=16', '16-15=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 46:[2, 31], Operations: ['55-39=16', '15+16=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,46 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,46 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 46:[16, 17], Operations: ['55-39=16', '15+2=17']
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,46 unequal: No Solution
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
64,
16,
68,
99
] | 95 |
[
"68-64=4",
"16/4=4",
"99-4=95"
] |
Current State: 95:[64, 16, 68, 99], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [16, 99, 4]
Generated Node #2: [16, 99, 4] from Operation: 68-64=4
Current State: 95:[16, 99, 4], Operations: ['68-64=4']
Exploring Operation: 16/4=4, Resulting Numbers: [99, 4]
Generated Node #3: [99, 4] from Operation: 16/4=4
Current State: 95:[99, 4], Operations: ['68-64=4', '16/4=4']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[64, 16, 68, 99], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [68, 99, 4]
Generated Node #0,0: 95:[68, 99, 4] Operation: 64/16=4
Exploring Operation: 64+68=132, Resulting Numbers: [16, 99, 132]
Generated Node #0,1: 95:[16, 99, 132] Operation: 64+68=132
Exploring Operation: 68-64=4, Resulting Numbers: [16, 99, 4]
Generated Node #0,2: 95:[16, 99, 4] Operation: 68-64=4
Moving to Node #0,2
Current State: 95:[16, 99, 4], Operations: ['68-64=4']
Exploring Operation: 16+4=20, Resulting Numbers: [99, 20]
Generated Node #0,2,0: 95:[99, 20] Operation: 16+4=20
Exploring Operation: 99-4=95, Resulting Numbers: [16, 95]
Generated Node #0,2,1: 95:[16, 95] Operation: 99-4=95
Exploring Operation: 16/4=4, Resulting Numbers: [99, 4]
Generated Node #0,2,2: 95:[99, 4] Operation: 16/4=4
Moving to Node #0,0
Current State: 95:[68, 99, 4], Operations: ['64/16=4']
Exploring Operation: 68+4=72, Resulting Numbers: [99, 72]
Generated Node #0,0,0: 95:[99, 72] Operation: 68+4=72
Exploring Operation: 99-68=31, Resulting Numbers: [4, 31]
Generated Node #0,0,1: 95:[4, 31] Operation: 99-68=31
Exploring Operation: 68/4=17, Resulting Numbers: [99, 17]
Generated Node #0,0,2: 95:[99, 17] Operation: 68/4=17
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[99, 17], Operations: ['64/16=4', '68/4=17']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,95 unequal: No Solution
Exploring Operation: 99*17=1683, Resulting Numbers: [1683]
1683,95 unequal: No Solution
Exploring Operation: 99+17=116, Resulting Numbers: [116]
116,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[4, 31], Operations: ['64/16=4', '99-68=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,95 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[99, 72], Operations: ['64/16=4', '68+4=72']
Exploring Operation: 99*72=7128, Resulting Numbers: [7128]
7128,95 unequal: No Solution
Exploring Operation: 99+72=171, Resulting Numbers: [171]
171,95 unequal: No Solution
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,95 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: 95:[16, 99, 132], Operations: ['64+68=132']
Exploring Operation: 132-16=116, Resulting Numbers: [99, 116]
Generated Node #0,1,0: 95:[99, 116] Operation: 132-16=116
Exploring Operation: 99-16=83, Resulting Numbers: [132, 83]
Generated Node #0,1,1: 95:[132, 83] Operation: 99-16=83
Exploring Operation: 132-99=33, Resulting Numbers: [16, 33]
Generated Node #0,1,2: 95:[16, 33] Operation: 132-99=33
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[16, 33], Operations: ['64+68=132', '132-99=33']
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,95 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[99, 116], Operations: ['64+68=132', '132-16=116']
Exploring Operation: 99*116=11484, Resulting Numbers: [11484]
11484,95 unequal: No Solution
Exploring Operation: 99+116=215, Resulting Numbers: [215]
215,95 unequal: No Solution
Exploring Operation: 116-99=17, Resulting Numbers: [17]
17,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[132, 83], Operations: ['64+68=132', '99-16=83']
Exploring Operation: 132+83=215, Resulting Numbers: [215]
215,95 unequal: No Solution
Exploring Operation: 132*83=10956, Resulting Numbers: [10956]
10956,95 unequal: No Solution
Exploring Operation: 132-83=49, Resulting Numbers: [49]
49,95 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: 95:[16, 95], Operations: ['68-64=4', '99-4=95']
Exploring Operation: 16+95=111, Resulting Numbers: [111]
111,95 unequal: No Solution
Exploring Operation: 16*95=1520, Resulting Numbers: [1520]
1520,95 unequal: No Solution
Exploring Operation: 95-16=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[99, 20], Operations: ['68-64=4', '16+4=20']
Exploring Operation: 99+20=119, Resulting Numbers: [119]
119,95 unequal: No Solution
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 99*20=1980, Resulting Numbers: [1980]
1980,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[99, 4], Operations: ['68-64=4', '16/4=4']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[64, 16, 68, 99], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [16, 99, 4]
Generated Node #0,2: 95:[16, 99, 4] Operation: 68-64=4
Moving to Node #0,2
Current State: 95:[16, 99, 4], Operations: ['68-64=4']
Exploring Operation: 16/4=4, Resulting Numbers: [99, 4]
Generated Node #0,2,2: 95:[99, 4] Operation: 16/4=4
Moving to Node #0,2,2
Current State: 95:[99, 4], Operations: ['68-64=4', '16/4=4']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.96441 |
hs_3
|
sum_heuristic
|
[
34,
73,
26,
69
] | 82 |
[
"73-34=39",
"69-26=43",
"39+43=82"
] |
Current State: 82:[34, 73, 26, 69], Operations: []
Exploring Operation: 73-34=39, Resulting Numbers: [26, 69, 39]
Generated Node #2: [26, 69, 39] from Operation: 73-34=39
Current State: 82:[26, 69, 39], Operations: ['73-34=39']
Exploring Operation: 69-26=43, Resulting Numbers: [39, 43]
Generated Node #3: [39, 43] from Operation: 69-26=43
Current State: 82:[39, 43], Operations: ['73-34=39', '69-26=43']
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[34, 73, 26, 69], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [73, 69, 8]
Generated Node #0,0: 82:[73, 69, 8] Operation: 34-26=8
Exploring Operation: 73-69=4, Resulting Numbers: [34, 26, 4]
Generated Node #0,1: 82:[34, 26, 4] Operation: 73-69=4
Exploring Operation: 69-26=43, Resulting Numbers: [34, 73, 43]
Generated Node #0,2: 82:[34, 73, 43] Operation: 69-26=43
Exploring Operation: 73-26=47, Resulting Numbers: [34, 69, 47]
Generated Node #0,3: 82:[34, 69, 47] Operation: 73-26=47
Moving to Node #0,2
Current State: 82:[34, 73, 43], Operations: ['69-26=43']
Exploring Operation: 34+43=77, Resulting Numbers: [73, 77]
Generated Node #0,2,0: 82:[73, 77] Operation: 34+43=77
Exploring Operation: 73-43=30, Resulting Numbers: [34, 30]
Generated Node #0,2,1: 82:[34, 30] Operation: 73-43=30
Exploring Operation: 73-34=39, Resulting Numbers: [43, 39]
Generated Node #0,2,2: 82:[43, 39] Operation: 73-34=39
Exploring Operation: 43-34=9, Resulting Numbers: [73, 9]
Generated Node #0,2,3: 82:[73, 9] Operation: 43-34=9
Moving to Node #0,1
Current State: 82:[34, 26, 4], Operations: ['73-69=4']
Exploring Operation: 34-26=8, Resulting Numbers: [4, 8]
Generated Node #0,1,0: 82:[4, 8] Operation: 34-26=8
Exploring Operation: 34+26=60, Resulting Numbers: [4, 60]
Generated Node #0,1,1: 82:[4, 60] Operation: 34+26=60
Exploring Operation: 34+4=38, Resulting Numbers: [26, 38]
Generated Node #0,1,2: 82:[26, 38] Operation: 34+4=38
Exploring Operation: 26+4=30, Resulting Numbers: [34, 30]
Generated Node #0,1,3: 82:[34, 30] Operation: 26+4=30
Moving to Node #0,3
Current State: 82:[34, 69, 47], Operations: ['73-26=47']
Exploring Operation: 47-34=13, Resulting Numbers: [69, 13]
Generated Node #0,3,0: 82:[69, 13] Operation: 47-34=13
Exploring Operation: 69-34=35, Resulting Numbers: [47, 35]
Generated Node #0,3,1: 82:[47, 35] Operation: 69-34=35
Exploring Operation: 34+47=81, Resulting Numbers: [69, 81]
Generated Node #0,3,2: 82:[69, 81] Operation: 34+47=81
Exploring Operation: 69-47=22, Resulting Numbers: [34, 22]
Generated Node #0,3,3: 82:[34, 22] Operation: 69-47=22
Moving to Node #0,0
Current State: 82:[73, 69, 8], Operations: ['34-26=8']
Exploring Operation: 73-69=4, Resulting Numbers: [8, 4]
Generated Node #0,0,0: 82:[8, 4] Operation: 73-69=4
Exploring Operation: 73+8=81, Resulting Numbers: [69, 81]
Generated Node #0,0,1: 82:[69, 81] Operation: 73+8=81
Exploring Operation: 69-8=61, Resulting Numbers: [73, 61]
Generated Node #0,0,2: 82:[73, 61] Operation: 69-8=61
Exploring Operation: 69+8=77, Resulting Numbers: [73, 77]
Generated Node #0,0,3: 82:[73, 77] Operation: 69+8=77
Moving to Node #0,2,2
Current State: 82:[43, 39], Operations: ['69-26=43', '73-34=39']
Exploring Operation: 43*39=1677, Resulting Numbers: [1677]
1677,82 unequal: No Solution
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[34, 73, 26, 69], Operations: []
Exploring Operation: 69-26=43, Resulting Numbers: [34, 73, 43]
Generated Node #0,2: 82:[34, 73, 43] Operation: 69-26=43
Moving to Node #0,2
Current State: 82:[34, 73, 43], Operations: ['69-26=43']
Exploring Operation: 73-34=39, Resulting Numbers: [43, 39]
Generated Node #0,2,2: 82:[43, 39] Operation: 73-34=39
Moving to Node #0,2,2
Current State: 82:[43, 39], Operations: ['69-26=43', '73-34=39']
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.977431 |
hs_4
|
sum_heuristic
|
[
63,
72,
9,
36
] | 51 |
[
"63+72=135",
"135/9=15",
"36+15=51"
] |
Current State: 51:[63, 72, 9, 36], Operations: []
Exploring Operation: 63+72=135, Resulting Numbers: [9, 36, 135]
Generated Node #2: [9, 36, 135] from Operation: 63+72=135
Current State: 51:[9, 36, 135], Operations: ['63+72=135']
Exploring Operation: 135/9=15, Resulting Numbers: [36, 15]
Generated Node #3: [36, 15] from Operation: 135/9=15
Current State: 51:[36, 15], Operations: ['63+72=135', '135/9=15']
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[63, 72, 9, 36], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [63, 36, 8]
Generated Node #0,0: 51:[63, 36, 8] Operation: 72/9=8
Exploring Operation: 72/36=2, Resulting Numbers: [63, 9, 2]
Generated Node #0,1: 51:[63, 9, 2] Operation: 72/36=2
Exploring Operation: 72-63=9, Resulting Numbers: [9, 36, 9]
Generated Node #0,2: 51:[9, 36, 9] Operation: 72-63=9
Exploring Operation: 72-36=36, Resulting Numbers: [63, 9, 36]
Generated Node #0,3: 51:[63, 9, 36] Operation: 72-36=36
Moving to Node #0,1
Current State: 51:[63, 9, 2], Operations: ['72/36=2']
Exploring Operation: 63-9=54, Resulting Numbers: [2, 54]
Generated Node #0,1,0: 51:[2, 54] Operation: 63-9=54
Exploring Operation: 63/9=7, Resulting Numbers: [2, 7]
Generated Node #0,1,1: 51:[2, 7] Operation: 63/9=7
Exploring Operation: 9*2=18, Resulting Numbers: [63, 18]
Generated Node #0,1,2: 51:[63, 18] Operation: 9*2=18
Exploring Operation: 63-2=61, Resulting Numbers: [9, 61]
Generated Node #0,1,3: 51:[9, 61] Operation: 63-2=61
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[2, 54], Operations: ['72/36=2', '63-9=54']
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,51 unequal: No Solution
No solution 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: 51:[2, 7], Operations: ['72/36=2', '63/9=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,51 unequal: No Solution
No solution 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: 51:[63, 18], Operations: ['72/36=2', '9*2=18']
Exploring Operation: 63*18=1134, Resulting Numbers: [1134]
1134,51 unequal: No Solution
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,51 unequal: No Solution
No solution 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: 51:[9, 61], Operations: ['72/36=2', '63-2=61']
Exploring Operation: 9*61=549, Resulting Numbers: [549]
549,51 unequal: No Solution
Exploring Operation: 9+61=70, Resulting Numbers: [70]
70,51 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,51 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: 51:[9, 36, 9], Operations: ['72-63=9']
Exploring Operation: 9+36=45, Resulting Numbers: [9, 45]
Generated Node #0,2,0: 51:[9, 45] Operation: 9+36=45
Exploring Operation: 36/9=4, Resulting Numbers: [9, 4]
Generated Node #0,2,1: 51:[9, 4] Operation: 36/9=4
Exploring Operation: 36/9=4, Resulting Numbers: [9, 4]
Generated Node #0,2,2: 51:[9, 4] Operation: 36/9=4
Exploring Operation: 36+9=45, Resulting Numbers: [9, 45]
Generated Node #0,2,3: 51:[9, 45] Operation: 36+9=45
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[9, 4], Operations: ['72-63=9', '36/9=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,51 unequal: No Solution
No 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: 51:[9, 4], Operations: ['72-63=9', '36/9=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,51 unequal: No Solution
No 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: 51:[9, 45], Operations: ['72-63=9', '9+36=45']
Exploring Operation: 9*45=405, Resulting Numbers: [405]
405,51 unequal: No Solution
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,51 unequal: No Solution
No 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: 51:[9, 45], Operations: ['72-63=9', '36+9=45']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 9*45=405, Resulting Numbers: [405]
405,51 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,51 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: 51:[63, 36, 8], Operations: ['72/9=8']
Exploring Operation: 63-36=27, Resulting Numbers: [8, 27]
Generated Node #0,0,0: 51:[8, 27] Operation: 63-36=27
Exploring Operation: 63-8=55, Resulting Numbers: [36, 55]
Generated Node #0,0,1: 51:[36, 55] Operation: 63-8=55
Exploring Operation: 36-8=28, Resulting Numbers: [63, 28]
Generated Node #0,0,2: 51:[63, 28] Operation: 36-8=28
Exploring Operation: 36+8=44, Resulting Numbers: [63, 44]
Generated Node #0,0,3: 51:[63, 44] Operation: 36+8=44
Moving to Node #0,3
Current State: 51:[63, 9, 36], Operations: ['72-36=36']
Exploring Operation: 63-36=27, Resulting Numbers: [9, 27]
Generated Node #0,3,0: 51:[9, 27] Operation: 63-36=27
Exploring Operation: 36/9=4, Resulting Numbers: [63, 4]
Generated Node #0,3,1: 51:[63, 4] Operation: 36/9=4
Exploring Operation: 63-9=54, Resulting Numbers: [36, 54]
Generated Node #0,3,2: 51:[36, 54] Operation: 63-9=54
Exploring Operation: 9+36=45, Resulting Numbers: [63, 45]
Generated Node #0,3,3: 51:[63, 45] Operation: 9+36=45
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 51:[63, 4], Operations: ['72-36=36', '36/9=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,51 unequal: No Solution
No 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: 51:[9, 27], Operations: ['72-36=36', '63-36=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,51 unequal: No Solution
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,51 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,51 unequal: No Solution
No 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: 51:[36, 54], Operations: ['72-36=36', '63-9=54']
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 36+54=90, Resulting Numbers: [90]
90,51 unequal: No Solution
Exploring Operation: 36*54=1944, Resulting Numbers: [1944]
1944,51 unequal: No Solution
No 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: 51:[63, 45], Operations: ['72-36=36', '9+36=45']
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 63*45=2835, Resulting Numbers: [2835]
2835,51 unequal: No Solution
Exploring Operation: 63+45=108, Resulting Numbers: [108]
108,51 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: 51:[8, 27], Operations: ['72/9=8', '63-36=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,51 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,51 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[63, 44], Operations: ['72/9=8', '36+8=44']
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Exploring Operation: 63+44=107, Resulting Numbers: [107]
107,51 unequal: No Solution
Exploring Operation: 63*44=2772, Resulting Numbers: [2772]
2772,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[36, 55], Operations: ['72/9=8', '63-8=55']
Exploring Operation: 36*55=1980, Resulting Numbers: [1980]
1980,51 unequal: No Solution
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Exploring Operation: 36+55=91, Resulting Numbers: [91]
91,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[63, 28], Operations: ['72/9=8', '36-8=28']
Exploring Operation: 63*28=1764, Resulting Numbers: [1764]
1764,51 unequal: No Solution
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,51 unequal: No Solution
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,51 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
98,
35,
2,
24
] | 41 |
[
"98-35=63",
"24-2=22",
"63-22=41"
] |
Current State: 41:[98, 35, 2, 24], Operations: []
Exploring Operation: 98-35=63, Resulting Numbers: [2, 24, 63]
Generated Node #2: [2, 24, 63] from Operation: 98-35=63
Current State: 41:[2, 24, 63], Operations: ['98-35=63']
Exploring Operation: 24-2=22, Resulting Numbers: [63, 22]
Generated Node #3: [63, 22] from Operation: 24-2=22
Current State: 41:[63, 22], Operations: ['98-35=63', '24-2=22']
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[98, 35, 2, 24], Operations: []
Exploring Operation: 2*24=48, Resulting Numbers: [98, 35, 48]
Generated Node #0,0: 41:[98, 35, 48] Operation: 2*24=48
Exploring Operation: 98-35=63, Resulting Numbers: [2, 24, 63]
Generated Node #0,1: 41:[2, 24, 63] Operation: 98-35=63
Exploring Operation: 98/2=49, Resulting Numbers: [35, 24, 49]
Generated Node #0,2: 41:[35, 24, 49] Operation: 98/2=49
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[35, 24, 49], Operations: ['98/2=49']
Exploring Operation: 35+24=59, Resulting Numbers: [49, 59]
Generated Node #0,2,0: 41:[49, 59] Operation: 35+24=59
Exploring Operation: 35-24=11, Resulting Numbers: [49, 11]
Generated Node #0,2,1: 41:[49, 11] Operation: 35-24=11
Exploring Operation: 49-24=25, Resulting Numbers: [35, 25]
Generated Node #0,2,2: 41:[35, 25] Operation: 49-24=25
Moving to Node #0,2,2
Current State: 41:[35, 25], Operations: ['98/2=49', '49-24=25']
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,41 unequal: No Solution
Exploring Operation: 35*25=875, Resulting Numbers: [875]
875,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[49, 59], Operations: ['98/2=49', '35+24=59']
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,41 unequal: No Solution
Exploring Operation: 49*59=2891, Resulting Numbers: [2891]
2891,41 unequal: No Solution
Exploring Operation: 49+59=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[49, 11], Operations: ['98/2=49', '35-24=11']
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,41 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[98, 35, 48], Operations: ['2*24=48']
Exploring Operation: 48-35=13, Resulting Numbers: [98, 13]
Generated Node #0,0,0: 41:[98, 13] Operation: 48-35=13
Exploring Operation: 98-48=50, Resulting Numbers: [35, 50]
Generated Node #0,0,1: 41:[35, 50] Operation: 98-48=50
Exploring Operation: 98-35=63, Resulting Numbers: [48, 63]
Generated Node #0,0,2: 41:[48, 63] Operation: 98-35=63
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[35, 50], Operations: ['2*24=48', '98-48=50']
Exploring Operation: 35*50=1750, Resulting Numbers: [1750]
1750,41 unequal: No Solution
Exploring Operation: 35+50=85, Resulting Numbers: [85]
85,41 unequal: No Solution
Exploring Operation: 50-35=15, Resulting Numbers: [15]
15,41 unequal: No Solution
No 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: 41:[48, 63], Operations: ['2*24=48', '98-35=63']
Exploring Operation: 48*63=3024, Resulting Numbers: [3024]
3024,41 unequal: No Solution
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 48+63=111, Resulting Numbers: [111]
111,41 unequal: No Solution
No 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: 41:[98, 13], Operations: ['2*24=48', '48-35=13']
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,41 unequal: No Solution
Exploring Operation: 98+13=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 98*13=1274, Resulting Numbers: [1274]
1274,41 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: 41:[2, 24, 63], Operations: ['98-35=63']
Exploring Operation: 2*24=48, Resulting Numbers: [63, 48]
Generated Node #0,1,0: 41:[63, 48] Operation: 2*24=48
Exploring Operation: 63-2=61, Resulting Numbers: [24, 61]
Generated Node #0,1,1: 41:[24, 61] Operation: 63-2=61
Exploring Operation: 2+24=26, Resulting Numbers: [63, 26]
Generated Node #0,1,2: 41:[63, 26] Operation: 2+24=26
Moving to Node #0,1,0
Current State: 41:[63, 48], Operations: ['98-35=63', '2*24=48']
Exploring Operation: 63*48=3024, Resulting Numbers: [3024]
3024,41 unequal: No Solution
Exploring Operation: 63+48=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[24, 61], Operations: ['98-35=63', '63-2=61']
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,41 unequal: No Solution
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 24*61=1464, Resulting Numbers: [1464]
1464,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[63, 26], Operations: ['98-35=63', '2+24=26']
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,41 unequal: No Solution
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,41 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,41 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
|
[
14,
32,
16,
1
] | 15 |
[
"16-14=2",
"32/2=16",
"16-1=15"
] |
Current State: 15:[14, 32, 16, 1], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [32, 1, 2]
Generated Node #2: [32, 1, 2] from Operation: 16-14=2
Current State: 15:[32, 1, 2], Operations: ['16-14=2']
Exploring Operation: 32/2=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 32/2=16
Current State: 15:[1, 16], Operations: ['16-14=2', '32/2=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
Current State: 15:[14, 32, 16, 1], Operations: []
Exploring Operation: 32-14=18, Resulting Numbers: [16, 1, 18]
Generated Node #0,0: 15:[16, 1, 18] Operation: 32-14=18
Exploring Operation: 32-16=16, Resulting Numbers: [14, 1, 16]
Generated Node #0,1: 15:[14, 1, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [14, 1, 2]
Generated Node #0,2: 15:[14, 1, 2] Operation: 32/16=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[14, 1, 16], Operations: ['32-16=16']
Exploring Operation: 16-1=15, Resulting Numbers: [14, 15]
Generated Node #0,1,0: 15:[14, 15] Operation: 16-1=15
Exploring Operation: 14*1=14, Resulting Numbers: [16, 14]
Generated Node #0,1,1: 15:[16, 14] Operation: 14*1=14
Exploring Operation: 14+1=15, Resulting Numbers: [16, 15]
Generated Node #0,1,2: 15:[16, 15] Operation: 14+1=15
Moving to Node #0,1,0
Current State: 15:[14, 15], Operations: ['32-16=16', '16-1=15']
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,15 unequal: No Solution
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[16, 15], Operations: ['32-16=16', '14+1=15']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[16, 14], Operations: ['32-16=16', '14*1=14']
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 16*14=224, Resulting Numbers: [224]
224,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[14, 1, 2], Operations: ['32/16=2']
Exploring Operation: 14*1=14, Resulting Numbers: [2, 14]
Generated Node #0,2,0: 15:[2, 14] Operation: 14*1=14
Exploring Operation: 1+2=3, Resulting Numbers: [14, 3]
Generated Node #0,2,1: 15:[14, 3] Operation: 1+2=3
Exploring Operation: 14+1=15, Resulting Numbers: [2, 15]
Generated Node #0,2,2: 15:[2, 15] Operation: 14+1=15
Moving to Node #0,2,1
Current State: 15:[14, 3], Operations: ['32/16=2', '1+2=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[2, 15], Operations: ['32/16=2', '14+1=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[2, 14], Operations: ['32/16=2', '14*1=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[16, 1, 18], Operations: ['32-14=18']
Exploring Operation: 16-1=15, Resulting Numbers: [18, 15]
Generated Node #0,0,0: 15:[18, 15] Operation: 16-1=15
Exploring Operation: 18-16=2, Resulting Numbers: [1, 2]
Generated Node #0,0,1: 15:[1, 2] Operation: 18-16=2
Exploring Operation: 18-1=17, Resulting Numbers: [16, 17]
Generated Node #0,0,2: 15:[16, 17] Operation: 18-1=17
Moving to Node #0,0,0
Current State: 15:[18, 15], Operations: ['32-14=18', '16-1=15']
Exploring Operation: 18*15=270, Resulting Numbers: [270]
270,15 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[1, 2], Operations: ['32-14=18', '18-16=2']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[16, 17], Operations: ['32-14=18', '18-1=17']
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,15 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
70,
91,
45,
8
] | 32 |
[
"91-70=21",
"45+8=53",
"53-21=32"
] |
Current State: 32:[70, 91, 45, 8], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [45, 8, 21]
Generated Node #2: [45, 8, 21] from Operation: 91-70=21
Current State: 32:[45, 8, 21], Operations: ['91-70=21']
Exploring Operation: 45+8=53, Resulting Numbers: [21, 53]
Generated Node #3: [21, 53] from Operation: 45+8=53
Current State: 32:[21, 53], Operations: ['91-70=21', '45+8=53']
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[70, 91, 45, 8], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [45, 8, 21]
Generated Node #0,0: 32:[45, 8, 21] Operation: 91-70=21
Moving to Node #0,0
Current State: 32:[45, 8, 21], Operations: ['91-70=21']
Exploring Operation: 45-21=24, Resulting Numbers: [8, 24]
Generated Node #0,0,0: 32:[8, 24] Operation: 45-21=24
Moving to Node #0,0,0
Current State: 32:[8, 24], Operations: ['91-70=21', '45-21=24']
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[70, 91, 45, 8], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [45, 8, 21]
Generated Node #0,0: 32:[45, 8, 21] Operation: 91-70=21
Moving to Node #0,0
Current State: 32:[45, 8, 21], Operations: ['91-70=21']
Exploring Operation: 45-21=24, Resulting Numbers: [8, 24]
Generated Node #0,0,0: 32:[8, 24] Operation: 45-21=24
Moving to Node #0,0,0
Current State: 32:[8, 24], Operations: ['91-70=21', '45-21=24']
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.993924 |
hs_1
|
mult_heuristic
|
[
47,
86,
35,
34
] | 40 |
[
"86-47=39",
"35-34=1",
"39+1=40"
] |
Current State: 40:[47, 86, 35, 34], Operations: []
Exploring Operation: 86-47=39, Resulting Numbers: [35, 34, 39]
Generated Node #2: [35, 34, 39] from Operation: 86-47=39
Current State: 40:[35, 34, 39], Operations: ['86-47=39']
Exploring Operation: 35-34=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 35-34=1
Current State: 40:[39, 1], Operations: ['86-47=39', '35-34=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
Current State: 40:[47, 86, 35, 34], Operations: []
Exploring Operation: 86-35=51, Resulting Numbers: [47, 34, 51]
Generated Node #0,0: 40:[47, 34, 51] Operation: 86-35=51
Exploring Operation: 47-35=12, Resulting Numbers: [86, 34, 12]
Generated Node #0,1: 40:[86, 34, 12] Operation: 47-35=12
Exploring Operation: 86-34=52, Resulting Numbers: [47, 35, 52]
Generated Node #0,2: 40:[47, 35, 52] Operation: 86-34=52
Exploring Operation: 86-47=39, Resulting Numbers: [35, 34, 39]
Generated Node #0,3: 40:[35, 34, 39] Operation: 86-47=39
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[35, 34, 39], Operations: ['86-47=39']
Exploring Operation: 35+34=69, Resulting Numbers: [39, 69]
Generated Node #0,3,0: 40:[39, 69] Operation: 35+34=69
Exploring Operation: 39-35=4, Resulting Numbers: [34, 4]
Generated Node #0,3,1: 40:[34, 4] Operation: 39-35=4
Exploring Operation: 35-34=1, Resulting Numbers: [39, 1]
Generated Node #0,3,2: 40:[39, 1] Operation: 35-34=1
Exploring Operation: 39-34=5, Resulting Numbers: [35, 5]
Generated Node #0,3,3: 40:[35, 5] Operation: 39-34=5
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 40:[39, 1], Operations: ['86-47=39', '35-34=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,40 unequal: No Solution
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[47, 86, 35, 34], Operations: []
Exploring Operation: 86-47=39, Resulting Numbers: [35, 34, 39]
Generated Node #0,3: 40:[35, 34, 39] Operation: 86-47=39
Moving to Node #0,3
Current State: 40:[35, 34, 39], Operations: ['86-47=39']
Exploring Operation: 35-34=1, Resulting Numbers: [39, 1]
Generated Node #0,3,2: 40:[39, 1] Operation: 35-34=1
Moving to Node #0,3,2
Current State: 40:[39, 1], Operations: ['86-47=39', '35-34=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
41,
66,
91,
20
] | 22 |
[
"41+91=132",
"132/66=2",
"20+2=22"
] |
Current State: 22:[41, 66, 91, 20], Operations: []
Exploring Operation: 41+91=132, Resulting Numbers: [66, 20, 132]
Generated Node #2: [66, 20, 132] from Operation: 41+91=132
Current State: 22:[66, 20, 132], Operations: ['41+91=132']
Exploring Operation: 132/66=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 132/66=2
Current State: 22:[20, 2], Operations: ['41+91=132', '132/66=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[41, 66, 91, 20], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [41, 20, 25]
Generated Node #0,0: 22:[41, 20, 25] Operation: 91-66=25
Exploring Operation: 66-41=25, Resulting Numbers: [91, 20, 25]
Generated Node #0,1: 22:[91, 20, 25] Operation: 66-41=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[41, 20, 25], Operations: ['91-66=25']
Exploring Operation: 41-25=16, Resulting Numbers: [20, 16]
Generated Node #0,0,0: 22:[20, 16] Operation: 41-25=16
Exploring Operation: 41-20=21, Resulting Numbers: [25, 21]
Generated Node #0,0,1: 22:[25, 21] Operation: 41-20=21
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[25, 21], Operations: ['91-66=25', '41-20=21']
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,22 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[20, 16], Operations: ['91-66=25', '41-25=16']
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[91, 20, 25], Operations: ['66-41=25']
Exploring Operation: 91-20=71, Resulting Numbers: [25, 71]
Generated Node #0,1,0: 22:[25, 71] Operation: 91-20=71
Exploring Operation: 91-25=66, Resulting Numbers: [20, 66]
Generated Node #0,1,1: 22:[20, 66] Operation: 91-25=66
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 22:[20, 66], Operations: ['66-41=25', '91-25=66']
Exploring Operation: 20+66=86, Resulting Numbers: [86]
86,22 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[25, 71], Operations: ['66-41=25', '91-20=71']
Exploring Operation: 25+71=96, Resulting Numbers: [96]
96,22 unequal: No Solution
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
85,
33,
34,
6
] | 17 |
[
"34-33=1",
"6-1=5",
"85/5=17"
] |
Current State: 17:[85, 33, 34, 6], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [85, 6, 1]
Generated Node #2: [85, 6, 1] from Operation: 34-33=1
Current State: 17:[85, 6, 1], Operations: ['34-33=1']
Exploring Operation: 6-1=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 6-1=5
Current State: 17:[85, 5], Operations: ['34-33=1', '6-1=5']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[85, 33, 34, 6], Operations: []
Exploring Operation: 85-33=52, Resulting Numbers: [34, 6, 52]
Generated Node #0,0: 17:[34, 6, 52] Operation: 85-33=52
Exploring Operation: 85-34=51, Resulting Numbers: [33, 6, 51]
Generated Node #0,1: 17:[33, 6, 51] Operation: 85-34=51
Moving to Node #0,1
Current State: 17:[33, 6, 51], Operations: ['85-34=51']
Exploring Operation: 51-33=18, Resulting Numbers: [6, 18]
Generated Node #0,1,0: 17:[6, 18] Operation: 51-33=18
Exploring Operation: 33-6=27, Resulting Numbers: [51, 27]
Generated Node #0,1,1: 17:[51, 27] Operation: 33-6=27
Moving to Node #0,0
Current State: 17:[34, 6, 52], Operations: ['85-33=52']
Exploring Operation: 34-6=28, Resulting Numbers: [52, 28]
Generated Node #0,0,0: 17:[52, 28] Operation: 34-6=28
Exploring Operation: 52-34=18, Resulting Numbers: [6, 18]
Generated Node #0,0,1: 17:[6, 18] Operation: 52-34=18
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 17:[6, 18], Operations: ['85-33=52', '52-34=18']
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,17 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 #0,0,0
Current State: 17:[52, 28], Operations: ['85-33=52', '34-6=28']
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,17 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: 17:[6, 18], Operations: ['85-34=51', '51-33=18']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[51, 27], Operations: ['85-34=51', '33-6=27']
Exploring Operation: 51+27=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,17 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
94,
35,
45,
86
] | 39 |
[
"94+86=180",
"180/45=4",
"35+4=39"
] |
Current State: 39:[94, 35, 45, 86], Operations: []
Exploring Operation: 94+86=180, Resulting Numbers: [35, 45, 180]
Generated Node #2: [35, 45, 180] from Operation: 94+86=180
Current State: 39:[35, 45, 180], Operations: ['94+86=180']
Exploring Operation: 180/45=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 180/45=4
Current State: 39:[35, 4], Operations: ['94+86=180', '180/45=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[94, 35, 45, 86], Operations: []
Exploring Operation: 94-86=8, Resulting Numbers: [35, 45, 8]
Generated Node #0,0: 39:[35, 45, 8] Operation: 94-86=8
Moving to Node #0,0
Current State: 39:[35, 45, 8], Operations: ['94-86=8']
Exploring Operation: 45-8=37, Resulting Numbers: [35, 37]
Generated Node #0,0,0: 39:[35, 37] Operation: 45-8=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[35, 37], Operations: ['94-86=8', '45-8=37']
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,39 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
|
[
35,
29,
21,
67
] | 59 |
[
"35-29=6",
"21*6=126",
"126-67=59"
] |
Current State: 59:[35, 29, 21, 67], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [21, 67, 6]
Generated Node #2: [21, 67, 6] from Operation: 35-29=6
Current State: 59:[21, 67, 6], Operations: ['35-29=6']
Exploring Operation: 21*6=126, Resulting Numbers: [67, 126]
Generated Node #3: [67, 126] from Operation: 21*6=126
Current State: 59:[67, 126], Operations: ['35-29=6', '21*6=126']
Exploring Operation: 126-67=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
Current State: 59:[35, 29, 21, 67], Operations: []
Exploring Operation: 29+21=50, Resulting Numbers: [35, 67, 50]
Generated Node #0,0: 59:[35, 67, 50] Operation: 29+21=50
Exploring Operation: 35+21=56, Resulting Numbers: [29, 67, 56]
Generated Node #0,1: 59:[29, 67, 56] Operation: 35+21=56
Exploring Operation: 35+29=64, Resulting Numbers: [21, 67, 64]
Generated Node #0,2: 59:[21, 67, 64] Operation: 35+29=64
Moving to Node #0,0
Current State: 59:[35, 67, 50], Operations: ['29+21=50']
Exploring Operation: 35+50=85, Resulting Numbers: [67, 85]
Generated Node #0,0,0: 59:[67, 85] Operation: 35+50=85
Exploring Operation: 67-35=32, Resulting Numbers: [50, 32]
Generated Node #0,0,1: 59:[50, 32] Operation: 67-35=32
Exploring Operation: 35+67=102, Resulting Numbers: [50, 102]
Generated Node #0,0,2: 59:[50, 102] Operation: 35+67=102
Moving to Node #0,1
Current State: 59:[29, 67, 56], Operations: ['35+21=56']
Exploring Operation: 29+67=96, Resulting Numbers: [56, 96]
Generated Node #0,1,0: 59:[56, 96] Operation: 29+67=96
Exploring Operation: 29+56=85, Resulting Numbers: [67, 85]
Generated Node #0,1,1: 59:[67, 85] Operation: 29+56=85
Exploring Operation: 67-29=38, Resulting Numbers: [56, 38]
Generated Node #0,1,2: 59:[56, 38] Operation: 67-29=38
Moving to Node #0,2
Current State: 59:[21, 67, 64], Operations: ['35+29=64']
Exploring Operation: 64-21=43, Resulting Numbers: [67, 43]
Generated Node #0,2,0: 59:[67, 43] Operation: 64-21=43
Exploring Operation: 21+67=88, Resulting Numbers: [64, 88]
Generated Node #0,2,1: 59:[64, 88] Operation: 21+67=88
Exploring Operation: 67-21=46, Resulting Numbers: [64, 46]
Generated Node #0,2,2: 59:[64, 46] Operation: 67-21=46
Moving to Node #0,2,2
Current State: 59:[64, 46], Operations: ['35+29=64', '67-21=46']
Exploring Operation: 64+46=110, Resulting Numbers: [110]
110,59 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 64*46=2944, Resulting Numbers: [2944]
2944,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[56, 38], Operations: ['35+21=56', '67-29=38']
Exploring Operation: 56+38=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 56*38=2128, Resulting Numbers: [2128]
2128,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[67, 43], Operations: ['35+29=64', '64-21=43']
Exploring Operation: 67*43=2881, Resulting Numbers: [2881]
2881,59 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 67+43=110, Resulting Numbers: [110]
110,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[64, 88], Operations: ['35+29=64', '21+67=88']
Exploring Operation: 88-64=24, Resulting Numbers: [24]
24,59 unequal: No Solution
Exploring Operation: 64+88=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 64*88=5632, Resulting Numbers: [5632]
5632,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[67, 85], Operations: ['35+21=56', '29+56=85']
Exploring Operation: 67+85=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 85-67=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 67*85=5695, Resulting Numbers: [5695]
5695,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[67, 85], Operations: ['29+21=50', '35+50=85']
Exploring Operation: 67+85=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 85-67=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 67*85=5695, Resulting Numbers: [5695]
5695,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[50, 32], Operations: ['29+21=50', '67-35=32']
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 50*32=1600, Resulting Numbers: [1600]
1600,59 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[56, 96], Operations: ['35+21=56', '29+67=96']
Exploring Operation: 56+96=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 56*96=5376, Resulting Numbers: [5376]
5376,59 unequal: No Solution
Exploring Operation: 96-56=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[50, 102], Operations: ['29+21=50', '35+67=102']
Exploring Operation: 50*102=5100, Resulting Numbers: [5100]
5100,59 unequal: No Solution
Exploring Operation: 50+102=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 102-50=52, Resulting Numbers: [52]
52,59 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
90,
31,
25,
18
] | 87 |
[
"31-25=6",
"18/6=3",
"90-3=87"
] |
Current State: 87:[90, 31, 25, 18], Operations: []
Exploring Operation: 31-25=6, Resulting Numbers: [90, 18, 6]
Generated Node #2: [90, 18, 6] from Operation: 31-25=6
Current State: 87:[90, 18, 6], Operations: ['31-25=6']
Exploring Operation: 18/6=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 18/6=3
Current State: 87:[90, 3], Operations: ['31-25=6', '18/6=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[90, 31, 25, 18], Operations: []
Exploring Operation: 25-18=7, Resulting Numbers: [90, 31, 7]
Generated Node #0,0: 87:[90, 31, 7] Operation: 25-18=7
Exploring Operation: 31-25=6, Resulting Numbers: [90, 18, 6]
Generated Node #0,1: 87:[90, 18, 6] Operation: 31-25=6
Exploring Operation: 31-18=13, Resulting Numbers: [90, 25, 13]
Generated Node #0,2: 87:[90, 25, 13] Operation: 31-18=13
Exploring Operation: 90/18=5, Resulting Numbers: [31, 25, 5]
Generated Node #0,3: 87:[31, 25, 5] Operation: 90/18=5
Moving to Node #0,3
Current State: 87:[31, 25, 5], Operations: ['90/18=5']
Exploring Operation: 31-5=26, Resulting Numbers: [25, 26]
Generated Node #0,3,0: 87:[25, 26] Operation: 31-5=26
Exploring Operation: 31-25=6, Resulting Numbers: [5, 6]
Generated Node #0,3,1: 87:[5, 6] Operation: 31-25=6
Exploring Operation: 25+5=30, Resulting Numbers: [31, 30]
Generated Node #0,3,2: 87:[31, 30] Operation: 25+5=30
Exploring Operation: 25/5=5, Resulting Numbers: [31, 5]
Generated Node #0,3,3: 87:[31, 5] Operation: 25/5=5
Moving to Node #0,0
Current State: 87:[90, 31, 7], Operations: ['25-18=7']
Exploring Operation: 31+7=38, Resulting Numbers: [90, 38]
Generated Node #0,0,0: 87:[90, 38] Operation: 31+7=38
Exploring Operation: 90-7=83, Resulting Numbers: [31, 83]
Generated Node #0,0,1: 87:[31, 83] Operation: 90-7=83
Exploring Operation: 90+7=97, Resulting Numbers: [31, 97]
Generated Node #0,0,2: 87:[31, 97] Operation: 90+7=97
Exploring Operation: 31-7=24, Resulting Numbers: [90, 24]
Generated Node #0,0,3: 87:[90, 24] Operation: 31-7=24
Moving to Node #0,2
Current State: 87:[90, 25, 13], Operations: ['31-18=13']
Exploring Operation: 90+13=103, Resulting Numbers: [25, 103]
Generated Node #0,2,0: 87:[25, 103] Operation: 90+13=103
Exploring Operation: 90-13=77, Resulting Numbers: [25, 77]
Generated Node #0,2,1: 87:[25, 77] Operation: 90-13=77
Exploring Operation: 25+13=38, Resulting Numbers: [90, 38]
Generated Node #0,2,2: 87:[90, 38] Operation: 25+13=38
Exploring Operation: 25-13=12, Resulting Numbers: [90, 12]
Generated Node #0,2,3: 87:[90, 12] Operation: 25-13=12
Moving to Node #0,1
Current State: 87:[90, 18, 6], Operations: ['31-25=6']
Exploring Operation: 90/18=5, Resulting Numbers: [6, 5]
Generated Node #0,1,0: 87:[6, 5] Operation: 90/18=5
Exploring Operation: 18-6=12, Resulting Numbers: [90, 12]
Generated Node #0,1,1: 87:[90, 12] Operation: 18-6=12
Exploring Operation: 18+6=24, Resulting Numbers: [90, 24]
Generated Node #0,1,2: 87:[90, 24] Operation: 18+6=24
Exploring Operation: 18/6=3, Resulting Numbers: [90, 3]
Generated Node #0,1,3: 87:[90, 3] Operation: 18/6=3
Moving to Node #0,3,2
Current State: 87:[31, 30], Operations: ['90/18=5', '25+5=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,87 unequal: No Solution
Exploring Operation: 31*30=930, Resulting Numbers: [930]
930,87 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Moving to Node #0,1,3
Current State: 87:[90, 3], Operations: ['31-25=6', '18/6=3']
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 90*3=270, Resulting Numbers: [270]
270,87 unequal: No Solution
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[90, 31, 25, 18], Operations: []
Exploring Operation: 31-25=6, Resulting Numbers: [90, 18, 6]
Generated Node #0,1: 87:[90, 18, 6] Operation: 31-25=6
Moving to Node #0,1
Current State: 87:[90, 18, 6], Operations: ['31-25=6']
Exploring Operation: 18/6=3, Resulting Numbers: [90, 3]
Generated Node #0,1,3: 87:[90, 3] Operation: 18/6=3
Moving to Node #0,1,3
Current State: 87:[90, 3], Operations: ['31-25=6', '18/6=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.97309 |
hs_4
|
sum_heuristic
|
[
77,
18,
2,
20
] | 93 |
[
"77-20=57",
"18*2=36",
"57+36=93"
] |
Current State: 93:[77, 18, 2, 20], Operations: []
Exploring Operation: 77-20=57, Resulting Numbers: [18, 2, 57]
Generated Node #2: [18, 2, 57] from Operation: 77-20=57
Current State: 93:[18, 2, 57], Operations: ['77-20=57']
Exploring Operation: 18*2=36, Resulting Numbers: [57, 36]
Generated Node #3: [57, 36] from Operation: 18*2=36
Current State: 93:[57, 36], Operations: ['77-20=57', '18*2=36']
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[77, 18, 2, 20], Operations: []
Exploring Operation: 77+18=95, Resulting Numbers: [2, 20, 95]
Generated Node #0,0: 93:[2, 20, 95] Operation: 77+18=95
Exploring Operation: 77+20=97, Resulting Numbers: [18, 2, 97]
Generated Node #0,1: 93:[18, 2, 97] Operation: 77+20=97
Moving to Node #0,0
Current State: 93:[2, 20, 95], Operations: ['77+18=95']
Exploring Operation: 20/2=10, Resulting Numbers: [95, 10]
Generated Node #0,0,0: 93:[95, 10] Operation: 20/2=10
Exploring Operation: 2+20=22, Resulting Numbers: [95, 22]
Generated Node #0,0,1: 93:[95, 22] Operation: 2+20=22
Moving to Node #0,1
Current State: 93:[18, 2, 97], Operations: ['77+20=97']
Exploring Operation: 18/2=9, Resulting Numbers: [97, 9]
Generated Node #0,1,0: 93:[97, 9] Operation: 18/2=9
Exploring Operation: 18*2=36, Resulting Numbers: [97, 36]
Generated Node #0,1,1: 93:[97, 36] Operation: 18*2=36
Moving to Node #0,0,0
Current State: 93:[95, 10], Operations: ['77+18=95', '20/2=10']
Exploring Operation: 95+10=105, Resulting Numbers: [105]
105,93 unequal: No Solution
Exploring Operation: 95-10=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[97, 36], Operations: ['77+20=97', '18*2=36']
Exploring Operation: 97-36=61, Resulting Numbers: [61]
61,93 unequal: No Solution
Exploring Operation: 97+36=133, Resulting Numbers: [133]
133,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[97, 9], Operations: ['77+20=97', '18/2=9']
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,93 unequal: No Solution
Exploring Operation: 97+9=106, Resulting Numbers: [106]
106,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[95, 22], Operations: ['77+18=95', '2+20=22']
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 95+22=117, Resulting Numbers: [117]
117,93 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
23,
64,
4,
48
] | 92 |
[
"64-48=16",
"23*16=368",
"368/4=92"
] |
Current State: 92:[23, 64, 4, 48], Operations: []
Exploring Operation: 64-48=16, Resulting Numbers: [23, 4, 16]
Generated Node #2: [23, 4, 16] from Operation: 64-48=16
Current State: 92:[23, 4, 16], Operations: ['64-48=16']
Exploring Operation: 23*16=368, Resulting Numbers: [4, 368]
Generated Node #3: [4, 368] from Operation: 23*16=368
Current State: 92:[4, 368], Operations: ['64-48=16', '23*16=368']
Exploring Operation: 368/4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[23, 64, 4, 48], Operations: []
Exploring Operation: 23+64=87, Resulting Numbers: [4, 48, 87]
Generated Node #0,0: 92:[4, 48, 87] Operation: 23+64=87
Exploring Operation: 64-48=16, Resulting Numbers: [23, 4, 16]
Generated Node #0,1: 92:[23, 4, 16] Operation: 64-48=16
Exploring Operation: 64-23=41, Resulting Numbers: [4, 48, 41]
Generated Node #0,2: 92:[4, 48, 41] Operation: 64-23=41
Moving to Node #0,0
Current State: 92:[4, 48, 87], Operations: ['23+64=87']
Exploring Operation: 4+87=91, Resulting Numbers: [48, 91]
Generated Node #0,0,0: 92:[48, 91] Operation: 4+87=91
Exploring Operation: 48-4=44, Resulting Numbers: [87, 44]
Generated Node #0,0,1: 92:[87, 44] Operation: 48-4=44
Exploring Operation: 87-48=39, Resulting Numbers: [4, 39]
Generated Node #0,0,2: 92:[4, 39] Operation: 87-48=39
Moving to Node #0,1
Current State: 92:[23, 4, 16], Operations: ['64-48=16']
Exploring Operation: 16/4=4, Resulting Numbers: [23, 4]
Generated Node #0,1,0: 92:[23, 4] Operation: 16/4=4
Exploring Operation: 4+16=20, Resulting Numbers: [23, 20]
Generated Node #0,1,1: 92:[23, 20] Operation: 4+16=20
Exploring Operation: 23-16=7, Resulting Numbers: [4, 7]
Generated Node #0,1,2: 92:[4, 7] Operation: 23-16=7
Moving to Node #0,2
Current State: 92:[4, 48, 41], Operations: ['64-23=41']
Exploring Operation: 4+41=45, Resulting Numbers: [48, 45]
Generated Node #0,2,0: 92:[48, 45] Operation: 4+41=45
Exploring Operation: 48+41=89, Resulting Numbers: [4, 89]
Generated Node #0,2,1: 92:[4, 89] Operation: 48+41=89
Exploring Operation: 48-41=7, Resulting Numbers: [4, 7]
Generated Node #0,2,2: 92:[4, 7] Operation: 48-41=7
Moving to Node #0,1,0
Current State: 92:[23, 4], Operations: ['64-48=16', '16/4=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[23, 64, 4, 48], Operations: []
Exploring Operation: 64-48=16, Resulting Numbers: [23, 4, 16]
Generated Node #0,1: 92:[23, 4, 16] Operation: 64-48=16
Moving to Node #0,1
Current State: 92:[23, 4, 16], Operations: ['64-48=16']
Exploring Operation: 16/4=4, Resulting Numbers: [23, 4]
Generated Node #0,1,0: 92:[23, 4] Operation: 16/4=4
Moving to Node #0,1,0
Current State: 92:[23, 4], Operations: ['64-48=16', '16/4=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.985243 |
hs_3
|
mult_heuristic
|
[
42,
32,
38,
89
] | 53 |
[
"42+32=74",
"38+89=127",
"127-74=53"
] |
Current State: 53:[42, 32, 38, 89], Operations: []
Exploring Operation: 42+32=74, Resulting Numbers: [38, 89, 74]
Generated Node #2: [38, 89, 74] from Operation: 42+32=74
Current State: 53:[38, 89, 74], Operations: ['42+32=74']
Exploring Operation: 38+89=127, Resulting Numbers: [74, 127]
Generated Node #3: [74, 127] from Operation: 38+89=127
Current State: 53:[74, 127], Operations: ['42+32=74', '38+89=127']
Exploring Operation: 127-74=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
Current State: 53:[42, 32, 38, 89], Operations: []
Exploring Operation: 89-38=51, Resulting Numbers: [42, 32, 51]
Generated Node #0,0: 53:[42, 32, 51] Operation: 89-38=51
Exploring Operation: 89-32=57, Resulting Numbers: [42, 38, 57]
Generated Node #0,1: 53:[42, 38, 57] Operation: 89-32=57
Exploring Operation: 89-42=47, Resulting Numbers: [32, 38, 47]
Generated Node #0,2: 53:[32, 38, 47] Operation: 89-42=47
Moving to Node #0,1
Current State: 53:[42, 38, 57], Operations: ['89-32=57']
Exploring Operation: 57-38=19, Resulting Numbers: [42, 19]
Generated Node #0,1,0: 53:[42, 19] Operation: 57-38=19
Exploring Operation: 42+38=80, Resulting Numbers: [57, 80]
Generated Node #0,1,1: 53:[57, 80] Operation: 42+38=80
Exploring Operation: 42-38=4, Resulting Numbers: [57, 4]
Generated Node #0,1,2: 53:[57, 4] Operation: 42-38=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[57, 80], Operations: ['89-32=57', '42+38=80']
Exploring Operation: 57+80=137, Resulting Numbers: [137]
137,53 unequal: No Solution
Exploring Operation: 57*80=4560, Resulting Numbers: [4560]
4560,53 unequal: No Solution
Exploring Operation: 80-57=23, Resulting Numbers: [23]
23,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[42, 19], Operations: ['89-32=57', '57-38=19']
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Exploring Operation: 42*19=798, Resulting Numbers: [798]
798,53 unequal: No Solution
Exploring Operation: 42+19=61, Resulting Numbers: [61]
61,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[57, 4], Operations: ['89-32=57', '42-38=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,53 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[42, 32, 38, 89], Operations: []
Exploring Operation: 89-32=57, Resulting Numbers: [42, 38, 57]
Generated Node #0,1: 53:[42, 38, 57] Operation: 89-32=57
Moving to Node #0,1
Current State: 53:[42, 38, 57], Operations: ['89-32=57']
Exploring Operation: 42-38=4, Resulting Numbers: [57, 4]
Generated Node #0,1,2: 53:[57, 4] Operation: 42-38=4
Moving to Node #0,1,2
Current State: 53:[57, 4], Operations: ['89-32=57', '42-38=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_3
|
sum_heuristic
|
[
8,
61,
95,
63
] | 99 |
[
"63-61=2",
"8/2=4",
"95+4=99"
] |
Current State: 99:[8, 61, 95, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [8, 95, 2]
Generated Node #2: [8, 95, 2] from Operation: 63-61=2
Current State: 99:[8, 95, 2], Operations: ['63-61=2']
Exploring Operation: 8/2=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 8/2=4
Current State: 99:[95, 4], Operations: ['63-61=2', '8/2=4']
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[8, 61, 95, 63], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [8, 63, 34]
Generated Node #0,0: 99:[8, 63, 34] Operation: 95-61=34
Exploring Operation: 95-63=32, Resulting Numbers: [8, 61, 32]
Generated Node #0,1: 99:[8, 61, 32] Operation: 95-63=32
Exploring Operation: 63-61=2, Resulting Numbers: [8, 95, 2]
Generated Node #0,2: 99:[8, 95, 2] Operation: 63-61=2
Exploring Operation: 61+63=124, Resulting Numbers: [8, 95, 124]
Generated Node #0,3: 99:[8, 95, 124] Operation: 61+63=124
Moving to Node #0,2
Current State: 99:[8, 95, 2], Operations: ['63-61=2']
Exploring Operation: 95+2=97, Resulting Numbers: [8, 97]
Generated Node #0,2,0: 99:[8, 97] Operation: 95+2=97
Exploring Operation: 8+2=10, Resulting Numbers: [95, 10]
Generated Node #0,2,1: 99:[95, 10] Operation: 8+2=10
Exploring Operation: 8+95=103, Resulting Numbers: [2, 103]
Generated Node #0,2,2: 99:[2, 103] Operation: 8+95=103
Exploring Operation: 8/2=4, Resulting Numbers: [95, 4]
Generated Node #0,2,3: 99:[95, 4] Operation: 8/2=4
Moving to Node #0,3
Current State: 99:[8, 95, 124], Operations: ['61+63=124']
Exploring Operation: 95-8=87, Resulting Numbers: [124, 87]
Generated Node #0,3,0: 99:[124, 87] Operation: 95-8=87
Exploring Operation: 8+95=103, Resulting Numbers: [124, 103]
Generated Node #0,3,1: 99:[124, 103] Operation: 8+95=103
Exploring Operation: 124-95=29, Resulting Numbers: [8, 29]
Generated Node #0,3,2: 99:[8, 29] Operation: 124-95=29
Exploring Operation: 124-8=116, Resulting Numbers: [95, 116]
Generated Node #0,3,3: 99:[95, 116] Operation: 124-8=116
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 99:[8, 29], Operations: ['61+63=124', '124-95=29']
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,99 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,99 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 #0,3,3
Current State: 99:[95, 116], Operations: ['61+63=124', '124-8=116']
Exploring Operation: 95*116=11020, Resulting Numbers: [11020]
11020,99 unequal: No Solution
Exploring Operation: 116-95=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 95+116=211, Resulting Numbers: [211]
211,99 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 #0,3,1
Current State: 99:[124, 103], Operations: ['61+63=124', '8+95=103']
Exploring Operation: 124+103=227, Resulting Numbers: [227]
227,99 unequal: No Solution
Exploring Operation: 124-103=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 124*103=12772, Resulting Numbers: [12772]
12772,99 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 #0,3,0
Current State: 99:[124, 87], Operations: ['61+63=124', '95-8=87']
Exploring Operation: 124-87=37, Resulting Numbers: [37]
37,99 unequal: No Solution
Exploring Operation: 124*87=10788, Resulting Numbers: [10788]
10788,99 unequal: No Solution
Exploring Operation: 124+87=211, Resulting Numbers: [211]
211,99 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:[8, 61, 32], Operations: ['95-63=32']
Exploring Operation: 61-32=29, Resulting Numbers: [8, 29]
Generated Node #0,1,0: 99:[8, 29] Operation: 61-32=29
Exploring Operation: 32/8=4, Resulting Numbers: [61, 4]
Generated Node #0,1,1: 99:[61, 4] Operation: 32/8=4
Exploring Operation: 61+32=93, Resulting Numbers: [8, 93]
Generated Node #0,1,2: 99:[8, 93] Operation: 61+32=93
Exploring Operation: 61-8=53, Resulting Numbers: [32, 53]
Generated Node #0,1,3: 99:[32, 53] Operation: 61-8=53
Moving to Node #0,0
Current State: 99:[8, 63, 34], Operations: ['95-61=34']
Exploring Operation: 8+63=71, Resulting Numbers: [34, 71]
Generated Node #0,0,0: 99:[34, 71] Operation: 8+63=71
Exploring Operation: 63-8=55, Resulting Numbers: [34, 55]
Generated Node #0,0,1: 99:[34, 55] Operation: 63-8=55
Exploring Operation: 63-34=29, Resulting Numbers: [8, 29]
Generated Node #0,0,2: 99:[8, 29] Operation: 63-34=29
Exploring Operation: 63+34=97, Resulting Numbers: [8, 97]
Generated Node #0,0,3: 99:[8, 97] Operation: 63+34=97
Moving to Node #0,2,0
Current State: 99:[8, 97], Operations: ['63-61=2', '95+2=97']
Exploring Operation: 8*97=776, Resulting Numbers: [776]
776,99 unequal: No Solution
Exploring Operation: 8+97=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[8, 97], Operations: ['95-61=34', '63+34=97']
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,99 unequal: No Solution
Exploring Operation: 8+97=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Exploring Operation: 8*97=776, Resulting Numbers: [776]
776,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[2, 103], Operations: ['63-61=2', '8+95=103']
Exploring Operation: 2*103=206, Resulting Numbers: [206]
206,99 unequal: No Solution
Exploring Operation: 103-2=101, Resulting Numbers: [101]
101,99 unequal: No Solution
Exploring Operation: 2+103=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[8, 29], Operations: ['95-63=32', '61-32=29']
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,99 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[8, 29], Operations: ['95-61=34', '63-34=29']
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,99 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,99 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[95, 10], Operations: ['63-61=2', '8+2=10']
Exploring Operation: 95-10=85, Resulting Numbers: [85]
85,99 unequal: No Solution
Exploring Operation: 95+10=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Exploring Operation: 95*10=950, Resulting Numbers: [950]
950,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[95, 4], Operations: ['63-61=2', '8/2=4']
Exploring Operation: 95*4=380, Resulting Numbers: [380]
380,99 unequal: No Solution
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,99 unequal: No Solution
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[8, 61, 95, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [8, 95, 2]
Generated Node #0,2: 99:[8, 95, 2] Operation: 63-61=2
Moving to Node #0,2
Current State: 99:[8, 95, 2], Operations: ['63-61=2']
Exploring Operation: 8/2=4, Resulting Numbers: [95, 4]
Generated Node #0,2,3: 99:[95, 4] Operation: 8/2=4
Moving to Node #0,2,3
Current State: 99:[95, 4], Operations: ['63-61=2', '8/2=4']
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.950521 |
hs_4
|
sum_heuristic
|
[
98,
38,
98,
88
] | 88 |
[
"98-98=0",
"38*0=0",
"88+0=88"
] |
Current State: 88:[98, 38, 98, 88], Operations: []
Exploring Operation: 98-98=0, Resulting Numbers: [38, 88, 0]
Generated Node #2: [38, 88, 0] from Operation: 98-98=0
Current State: 88:[38, 88, 0], Operations: ['98-98=0']
Exploring Operation: 38*0=0, Resulting Numbers: [88, 0]
Generated Node #3: [88, 0] from Operation: 38*0=0
Current State: 88:[88, 0], Operations: ['98-98=0', '38*0=0']
Exploring Operation: 88+0=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[98, 38, 98, 88], Operations: []
Exploring Operation: 98-98=0, Resulting Numbers: [38, 88, 0]
Generated Node #0,0: 88:[38, 88, 0] Operation: 98-98=0
Exploring Operation: 98-88=10, Resulting Numbers: [38, 98, 10]
Generated Node #0,1: 88:[38, 98, 10] Operation: 98-88=10
Exploring Operation: 98/98=1, Resulting Numbers: [38, 88, 1]
Generated Node #0,2: 88:[38, 88, 1] Operation: 98/98=1
Exploring Operation: 98-38=60, Resulting Numbers: [98, 88, 60]
Generated Node #0,3: 88:[98, 88, 60] Operation: 98-38=60
Exploring Operation: 98-88=10, Resulting Numbers: [98, 38, 10]
Generated Node #0,4: 88:[98, 38, 10] Operation: 98-88=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[38, 88, 1], Operations: ['98/98=1']
Exploring Operation: 38+1=39, Resulting Numbers: [88, 39]
Generated Node #0,2,0: 88:[88, 39] Operation: 38+1=39
Exploring Operation: 38/1=38, Resulting Numbers: [88, 38]
Generated Node #0,2,1: 88:[88, 38] Operation: 38/1=38
Exploring Operation: 88/1=88, Resulting Numbers: [38, 88]
Generated Node #0,2,2: 88:[38, 88] Operation: 88/1=88
Exploring Operation: 38*1=38, Resulting Numbers: [88, 38]
Generated Node #0,2,3: 88:[88, 38] Operation: 38*1=38
Exploring Operation: 88*1=88, Resulting Numbers: [38, 88]
Generated Node #0,2,4: 88:[38, 88] Operation: 88*1=88
Moving to Node #0,2,0
Current State: 88:[88, 39], Operations: ['98/98=1', '38+1=39']
Exploring Operation: 88+39=127, Resulting Numbers: [127]
127,88 unequal: No Solution
Exploring Operation: 88*39=3432, Resulting Numbers: [3432]
3432,88 unequal: No Solution
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[38, 88], Operations: ['98/98=1', '88/1=88']
Exploring Operation: 38*88=3344, Resulting Numbers: [3344]
3344,88 unequal: No Solution
Exploring Operation: 38+88=126, Resulting Numbers: [126]
126,88 unequal: No Solution
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Moving to Node #0,2,4
Current State: 88:[38, 88], Operations: ['98/98=1', '88*1=88']
Exploring Operation: 38+88=126, Resulting Numbers: [126]
126,88 unequal: No Solution
Exploring Operation: 38*88=3344, Resulting Numbers: [3344]
3344,88 unequal: No Solution
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[88, 38], Operations: ['98/98=1', '38/1=38']
Exploring Operation: 88+38=126, Resulting Numbers: [126]
126,88 unequal: No Solution
Exploring Operation: 88*38=3344, Resulting Numbers: [3344]
3344,88 unequal: No Solution
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Moving to Node #0,2,3
Current State: 88:[88, 38], Operations: ['98/98=1', '38*1=38']
Exploring Operation: 88+38=126, Resulting Numbers: [126]
126,88 unequal: No Solution
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 88*38=3344, Resulting Numbers: [3344]
3344,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[38, 88, 0], Operations: ['98-98=0']
Exploring Operation: 88-0=88, Resulting Numbers: [38, 88]
Generated Node #0,0,0: 88:[38, 88] Operation: 88-0=88
Exploring Operation: 38+0=38, Resulting Numbers: [88, 38]
Generated Node #0,0,1: 88:[88, 38] Operation: 38+0=38
Exploring Operation: 38*0=0, Resulting Numbers: [88, 0]
Generated Node #0,0,2: 88:[88, 0] Operation: 38*0=0
Exploring Operation: 88+0=88, Resulting Numbers: [38, 88]
Generated Node #0,0,3: 88:[38, 88] Operation: 88+0=88
Exploring Operation: 38-0=38, Resulting Numbers: [88, 38]
Generated Node #0,0,4: 88:[88, 38] Operation: 38-0=38
Moving to Node #0,0,2
Current State: 88:[88, 0], Operations: ['98-98=0', '38*0=0']
Exploring Operation: 88*0=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 88+0=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[98, 38, 98, 88], Operations: []
Exploring Operation: 98-98=0, Resulting Numbers: [38, 88, 0]
Generated Node #0,0: 88:[38, 88, 0] Operation: 98-98=0
Moving to Node #0,0
Current State: 88:[38, 88, 0], Operations: ['98-98=0']
Exploring Operation: 38*0=0, Resulting Numbers: [88, 0]
Generated Node #0,0,2: 88:[88, 0] Operation: 38*0=0
Moving to Node #0,0,2
Current State: 88:[88, 0], Operations: ['98-98=0', '38*0=0']
Exploring Operation: 88+0=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 |
hs_5
|
sum_heuristic
|
[
45,
73,
67,
69
] | 19 |
[
"45+69=114",
"73-67=6",
"114/6=19"
] |
Current State: 19:[45, 73, 67, 69], Operations: []
Exploring Operation: 45+69=114, Resulting Numbers: [73, 67, 114]
Generated Node #2: [73, 67, 114] from Operation: 45+69=114
Current State: 19:[73, 67, 114], Operations: ['45+69=114']
Exploring Operation: 73-67=6, Resulting Numbers: [114, 6]
Generated Node #3: [114, 6] from Operation: 73-67=6
Current State: 19:[114, 6], Operations: ['45+69=114', '73-67=6']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[45, 73, 67, 69], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [45, 67, 4]
Generated Node #0,0: 19:[45, 67, 4] Operation: 73-69=4
Exploring Operation: 73-67=6, Resulting Numbers: [45, 69, 6]
Generated Node #0,1: 19:[45, 69, 6] Operation: 73-67=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[45, 67, 4], Operations: ['73-69=4']
Exploring Operation: 67-45=22, Resulting Numbers: [4, 22]
Generated Node #0,0,0: 19:[4, 22] Operation: 67-45=22
Exploring Operation: 45-4=41, Resulting Numbers: [67, 41]
Generated Node #0,0,1: 19:[67, 41] Operation: 45-4=41
Moving to Node #0,0,0
Current State: 19:[4, 22], Operations: ['73-69=4', '67-45=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,19 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[67, 41], Operations: ['73-69=4', '45-4=41']
Exploring Operation: 67+41=108, Resulting Numbers: [108]
108,19 unequal: No Solution
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,19 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 #0,1
Current State: 19:[45, 69, 6], Operations: ['73-67=6']
Exploring Operation: 69-45=24, Resulting Numbers: [6, 24]
Generated Node #0,1,0: 19:[6, 24] Operation: 69-45=24
Exploring Operation: 45-6=39, Resulting Numbers: [69, 39]
Generated Node #0,1,1: 19:[69, 39] Operation: 45-6=39
Moving to Node #0,1,0
Current State: 19:[6, 24], Operations: ['73-67=6', '69-45=24']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[69, 39], Operations: ['73-67=6', '45-6=39']
Exploring Operation: 69+39=108, Resulting Numbers: [108]
108,19 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,19 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
|
[
72,
8,
86,
2
] | 75 |
[
"72-8=64",
"86+64=150",
"150/2=75"
] |
Current State: 75:[72, 8, 86, 2], Operations: []
Exploring Operation: 72-8=64, Resulting Numbers: [86, 2, 64]
Generated Node #2: [86, 2, 64] from Operation: 72-8=64
Current State: 75:[86, 2, 64], Operations: ['72-8=64']
Exploring Operation: 86+64=150, Resulting Numbers: [2, 150]
Generated Node #3: [2, 150] from Operation: 86+64=150
Current State: 75:[2, 150], Operations: ['72-8=64', '86+64=150']
Exploring Operation: 150/2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[72, 8, 86, 2], Operations: []
Exploring Operation: 86-8=78, Resulting Numbers: [72, 2, 78]
Generated Node #0,0: 75:[72, 2, 78] Operation: 86-8=78
Exploring Operation: 8-2=6, Resulting Numbers: [72, 86, 6]
Generated Node #0,1: 75:[72, 86, 6] Operation: 8-2=6
Exploring Operation: 8*2=16, Resulting Numbers: [72, 86, 16]
Generated Node #0,2: 75:[72, 86, 16] Operation: 8*2=16
Exploring Operation: 72+2=74, Resulting Numbers: [8, 86, 74]
Generated Node #0,3: 75:[8, 86, 74] Operation: 72+2=74
Exploring Operation: 86-72=14, Resulting Numbers: [8, 2, 14]
Generated Node #0,4: 75:[8, 2, 14] Operation: 86-72=14
Moving to Node #0,4
Current State: 75:[8, 2, 14], Operations: ['86-72=14']
Exploring Operation: 8*2=16, Resulting Numbers: [14, 16]
Generated Node #0,4,0: 75:[14, 16] Operation: 8*2=16
Exploring Operation: 8+14=22, Resulting Numbers: [2, 22]
Generated Node #0,4,1: 75:[2, 22] Operation: 8+14=22
Exploring Operation: 8/2=4, Resulting Numbers: [14, 4]
Generated Node #0,4,2: 75:[14, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [14, 6]
Generated Node #0,4,3: 75:[14, 6] Operation: 8-2=6
Exploring Operation: 14-8=6, Resulting Numbers: [2, 6]
Generated Node #0,4,4: 75:[2, 6] Operation: 14-8=6
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 75:[14, 16], Operations: ['86-72=14', '8*2=16']
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,75 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 75:[14, 4], Operations: ['86-72=14', '8/2=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 75:[14, 6], Operations: ['86-72=14', '8-2=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,75 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 75:[2, 6], Operations: ['86-72=14', '14-8=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 75:[2, 22], Operations: ['86-72=14', '8+14=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,75 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 75:[72, 2, 78], Operations: ['86-8=78']
Exploring Operation: 78-2=76, Resulting Numbers: [72, 76]
Generated Node #0,0,0: 75:[72, 76] Operation: 78-2=76
Exploring Operation: 72-2=70, Resulting Numbers: [78, 70]
Generated Node #0,0,1: 75:[78, 70] Operation: 72-2=70
Exploring Operation: 2+78=80, Resulting Numbers: [72, 80]
Generated Node #0,0,2: 75:[72, 80] Operation: 2+78=80
Exploring Operation: 72+2=74, Resulting Numbers: [78, 74]
Generated Node #0,0,3: 75:[78, 74] Operation: 72+2=74
Exploring Operation: 78-72=6, Resulting Numbers: [2, 6]
Generated Node #0,0,4: 75:[2, 6] Operation: 78-72=6
Moving to Node #0,1
Current State: 75:[72, 86, 6], Operations: ['8-2=6']
Exploring Operation: 72/6=12, Resulting Numbers: [86, 12]
Generated Node #0,1,0: 75:[86, 12] Operation: 72/6=12
Exploring Operation: 86-72=14, Resulting Numbers: [6, 14]
Generated Node #0,1,1: 75:[6, 14] Operation: 86-72=14
Exploring Operation: 72+6=78, Resulting Numbers: [86, 78]
Generated Node #0,1,2: 75:[86, 78] Operation: 72+6=78
Exploring Operation: 86-6=80, Resulting Numbers: [72, 80]
Generated Node #0,1,3: 75:[72, 80] Operation: 86-6=80
Exploring Operation: 72-6=66, Resulting Numbers: [86, 66]
Generated Node #0,1,4: 75:[86, 66] Operation: 72-6=66
Moving to Node #0,2
Current State: 75:[72, 86, 16], Operations: ['8*2=16']
Exploring Operation: 86-16=70, Resulting Numbers: [72, 70]
Generated Node #0,2,0: 75:[72, 70] Operation: 86-16=70
Exploring Operation: 72-16=56, Resulting Numbers: [86, 56]
Generated Node #0,2,1: 75:[86, 56] Operation: 72-16=56
Exploring Operation: 86-72=14, Resulting Numbers: [16, 14]
Generated Node #0,2,2: 75:[16, 14] Operation: 86-72=14
Exploring Operation: 86+16=102, Resulting Numbers: [72, 102]
Generated Node #0,2,3: 75:[72, 102] Operation: 86+16=102
Exploring Operation: 72+16=88, Resulting Numbers: [86, 88]
Generated Node #0,2,4: 75:[86, 88] Operation: 72+16=88
Moving to Node #0,3
Current State: 75:[8, 86, 74], Operations: ['72+2=74']
Exploring Operation: 8+86=94, Resulting Numbers: [74, 94]
Generated Node #0,3,0: 75:[74, 94] Operation: 8+86=94
Exploring Operation: 86-74=12, Resulting Numbers: [8, 12]
Generated Node #0,3,1: 75:[8, 12] Operation: 86-74=12
Exploring Operation: 74-8=66, Resulting Numbers: [86, 66]
Generated Node #0,3,2: 75:[86, 66] Operation: 74-8=66
Exploring Operation: 8+74=82, Resulting Numbers: [86, 82]
Generated Node #0,3,3: 75:[86, 82] Operation: 8+74=82
Exploring Operation: 86-8=78, Resulting Numbers: [74, 78]
Generated Node #0,3,4: 75:[74, 78] Operation: 86-8=78
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 75:[74, 78], Operations: ['72+2=74', '86-8=78']
Exploring Operation: 74*78=5772, Resulting Numbers: [5772]
5772,75 unequal: No Solution
Exploring Operation: 74+78=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 78-74=4, Resulting Numbers: [4]
4,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 75:[8, 12], Operations: ['72+2=74', '86-74=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 75:[86, 82], Operations: ['72+2=74', '8+74=82']
Exploring Operation: 86*82=7052, Resulting Numbers: [7052]
7052,75 unequal: No Solution
Exploring Operation: 86+82=168, Resulting Numbers: [168]
168,75 unequal: No Solution
Exploring Operation: 86-82=4, Resulting Numbers: [4]
4,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 75:[74, 94], Operations: ['72+2=74', '8+86=94']
Exploring Operation: 74*94=6956, Resulting Numbers: [6956]
6956,75 unequal: No Solution
Exploring Operation: 74+94=168, Resulting Numbers: [168]
168,75 unequal: No Solution
Exploring Operation: 94-74=20, Resulting Numbers: [20]
20,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 75:[86, 66], Operations: ['72+2=74', '74-8=66']
Exploring Operation: 86*66=5676, Resulting Numbers: [5676]
5676,75 unequal: No Solution
Exploring Operation: 86+66=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,75 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: 75:[2, 6], Operations: ['86-8=78', '78-72=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[6, 14], Operations: ['8-2=6', '86-72=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[16, 14], Operations: ['8*2=16', '86-72=14']
Exploring Operation: 16*14=224, Resulting Numbers: [224]
224,75 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,75 unequal: No Solution
Moving to Node #0,0,3
Current State: 75:[78, 74], Operations: ['86-8=78', '72+2=74']
Exploring Operation: 78-74=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 78*74=5772, Resulting Numbers: [5772]
5772,75 unequal: No Solution
Exploring Operation: 78+74=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[72, 76], Operations: ['86-8=78', '78-2=76']
Exploring Operation: 76-72=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 72+76=148, Resulting Numbers: [148]
148,75 unequal: No Solution
Exploring Operation: 72*76=5472, Resulting Numbers: [5472]
5472,75 unequal: No Solution
Moving to Node #0,1,3
Current State: 75:[72, 80], Operations: ['8-2=6', '86-6=80']
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 72*80=5760, Resulting Numbers: [5760]
5760,75 unequal: No Solution
Exploring Operation: 72+80=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[72, 70], Operations: ['8*2=16', '86-16=70']
Exploring Operation: 72*70=5040, Resulting Numbers: [5040]
5040,75 unequal: No Solution
Exploring Operation: 72-70=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 72+70=142, Resulting Numbers: [142]
142,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[72, 80], Operations: ['86-8=78', '2+78=80']
Exploring Operation: 72+80=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 72*80=5760, Resulting Numbers: [5760]
5760,75 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[78, 70], Operations: ['86-8=78', '72-2=70']
Exploring Operation: 78+70=148, Resulting Numbers: [148]
148,75 unequal: No Solution
Exploring Operation: 78*70=5460, Resulting Numbers: [5460]
5460,75 unequal: No Solution
Exploring Operation: 78-70=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[86, 12], Operations: ['8-2=6', '72/6=12']
Exploring Operation: 86*12=1032, Resulting Numbers: [1032]
1032,75 unequal: No Solution
Exploring Operation: 86+12=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 86-12=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[86, 78], Operations: ['8-2=6', '72+6=78']
Exploring Operation: 86+78=164, Resulting Numbers: [164]
164,75 unequal: No Solution
Exploring Operation: 86*78=6708, Resulting Numbers: [6708]
6708,75 unequal: No Solution
Exploring Operation: 86-78=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Moving to Node #0,1,4
Current State: 75:[86, 66], Operations: ['8-2=6', '72-6=66']
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 86+66=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 86*66=5676, Resulting Numbers: [5676]
5676,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[86, 88], Operations: ['8*2=16', '72+16=88']
Exploring Operation: 86*88=7568, Resulting Numbers: [7568]
7568,75 unequal: No Solution
Exploring Operation: 86+88=174, Resulting Numbers: [174]
174,75 unequal: No Solution
Exploring Operation: 88-86=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Moving to Node #0,2,3
Current State: 75:[72, 102], Operations: ['8*2=16', '86+16=102']
Exploring Operation: 72+102=174, Resulting Numbers: [174]
174,75 unequal: No Solution
Exploring Operation: 102-72=30, Resulting Numbers: [30]
30,75 unequal: No Solution
Exploring Operation: 72*102=7344, Resulting Numbers: [7344]
7344,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[86, 56], Operations: ['8*2=16', '72-16=56']
Exploring Operation: 86-56=30, Resulting Numbers: [30]
30,75 unequal: No Solution
Exploring Operation: 86*56=4816, Resulting Numbers: [4816]
4816,75 unequal: No Solution
Exploring Operation: 86+56=142, Resulting Numbers: [142]
142,75 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
25,
65,
53,
99
] | 86 |
[
"65-25=40",
"99-53=46",
"40+46=86"
] |
Current State: 86:[25, 65, 53, 99], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [53, 99, 40]
Generated Node #2: [53, 99, 40] from Operation: 65-25=40
Current State: 86:[53, 99, 40], Operations: ['65-25=40']
Exploring Operation: 99-53=46, Resulting Numbers: [40, 46]
Generated Node #3: [40, 46] from Operation: 99-53=46
Current State: 86:[40, 46], Operations: ['65-25=40', '99-53=46']
Exploring Operation: 40+46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[25, 65, 53, 99], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [53, 99, 40]
Generated Node #0,0: 86:[53, 99, 40] Operation: 65-25=40
Moving to Node #0,0
Current State: 86:[53, 99, 40], Operations: ['65-25=40']
Exploring Operation: 99-53=46, Resulting Numbers: [40, 46]
Generated Node #0,0,0: 86:[40, 46] Operation: 99-53=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[40, 46], Operations: ['65-25=40', '99-53=46']
Exploring Operation: 40+46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[25, 65, 53, 99], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [53, 99, 40]
Generated Node #0,0: 86:[53, 99, 40] Operation: 65-25=40
Moving to Node #0,0
Current State: 86:[53, 99, 40], Operations: ['65-25=40']
Exploring Operation: 99-53=46, Resulting Numbers: [40, 46]
Generated Node #0,0,0: 86:[40, 46] Operation: 99-53=46
Moving to Node #0,0,0
Current State: 86:[40, 46], Operations: ['65-25=40', '99-53=46']
Exploring Operation: 40+46=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
7,
11,
14,
4
] | 84 |
[
"7*4=28",
"14-11=3",
"28*3=84"
] |
Current State: 84:[7, 11, 14, 4], Operations: []
Exploring Operation: 7*4=28, Resulting Numbers: [11, 14, 28]
Generated Node #2: [11, 14, 28] from Operation: 7*4=28
Current State: 84:[11, 14, 28], Operations: ['7*4=28']
Exploring Operation: 14-11=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 14-11=3
Current State: 84:[28, 3], Operations: ['7*4=28', '14-11=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[7, 11, 14, 4], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [14, 4, 4]
Generated Node #0,0: 84:[14, 4, 4] Operation: 11-7=4
Exploring Operation: 7+14=21, Resulting Numbers: [11, 4, 21]
Generated Node #0,1: 84:[11, 4, 21] Operation: 7+14=21
Exploring Operation: 14-11=3, Resulting Numbers: [7, 4, 3]
Generated Node #0,2: 84:[7, 4, 3] Operation: 14-11=3
Exploring Operation: 11-4=7, Resulting Numbers: [7, 14, 7]
Generated Node #0,3: 84:[7, 14, 7] Operation: 11-4=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[14, 4, 4], Operations: ['11-7=4']
Exploring Operation: 4/4=1, Resulting Numbers: [14, 1]
Generated Node #0,0,0: 84:[14, 1] Operation: 4/4=1
Exploring Operation: 14-4=10, Resulting Numbers: [4, 10]
Generated Node #0,0,1: 84:[4, 10] Operation: 14-4=10
Exploring Operation: 14-4=10, Resulting Numbers: [4, 10]
Generated Node #0,0,2: 84:[4, 10] Operation: 14-4=10
Exploring Operation: 4+4=8, Resulting Numbers: [14, 8]
Generated Node #0,0,3: 84:[14, 8] Operation: 4+4=8
Moving to Node #0,0,0
Current State: 84:[14, 1], Operations: ['11-7=4', '4/4=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,84 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[14, 8], Operations: ['11-7=4', '4+4=8']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,84 unequal: No Solution
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[4, 10], Operations: ['11-7=4', '14-4=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[4, 10], Operations: ['11-7=4', '14-4=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,84 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 #0,2
Current State: 84:[7, 4, 3], Operations: ['14-11=3']
Exploring Operation: 7*4=28, Resulting Numbers: [3, 28]
Generated Node #0,2,0: 84:[3, 28] Operation: 7*4=28
Exploring Operation: 7*3=21, Resulting Numbers: [4, 21]
Generated Node #0,2,1: 84:[4, 21] Operation: 7*3=21
Exploring Operation: 7-3=4, Resulting Numbers: [4, 4]
Generated Node #0,2,2: 84:[4, 4] Operation: 7-3=4
Exploring Operation: 7-4=3, Resulting Numbers: [3, 3]
Generated Node #0,2,3: 84:[3, 3] Operation: 7-4=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[3, 28], Operations: ['14-11=3', '7*4=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[7, 11, 14, 4], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [7, 4, 3]
Generated Node #0,2: 84:[7, 4, 3] Operation: 14-11=3
Moving to Node #0,2
Current State: 84:[7, 4, 3], Operations: ['14-11=3']
Exploring Operation: 7*4=28, Resulting Numbers: [3, 28]
Generated Node #0,2,0: 84:[3, 28] Operation: 7*4=28
Moving to Node #0,2,0
Current State: 84:[3, 28], Operations: ['14-11=3', '7*4=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 |
hs_4
|
mult_heuristic
|
[
93,
79,
26,
1
] | 96 |
[
"79-1=78",
"78/26=3",
"93+3=96"
] |
Current State: 96:[93, 79, 26, 1], Operations: []
Exploring Operation: 79-1=78, Resulting Numbers: [93, 26, 78]
Generated Node #2: [93, 26, 78] from Operation: 79-1=78
Current State: 96:[93, 26, 78], Operations: ['79-1=78']
Exploring Operation: 78/26=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 78/26=3
Current State: 96:[93, 3], Operations: ['79-1=78', '78/26=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[93, 79, 26, 1], Operations: []
Exploring Operation: 79+26=105, Resulting Numbers: [93, 1, 105]
Generated Node #0,0: 96:[93, 1, 105] Operation: 79+26=105
Exploring Operation: 93-79=14, Resulting Numbers: [26, 1, 14]
Generated Node #0,1: 96:[26, 1, 14] Operation: 93-79=14
Exploring Operation: 79-26=53, Resulting Numbers: [93, 1, 53]
Generated Node #0,2: 96:[93, 1, 53] Operation: 79-26=53
Moving to Node #0,1
Current State: 96:[26, 1, 14], Operations: ['93-79=14']
Exploring Operation: 26-14=12, Resulting Numbers: [1, 12]
Generated Node #0,1,0: 96:[1, 12] Operation: 26-14=12
Exploring Operation: 26-1=25, Resulting Numbers: [14, 25]
Generated Node #0,1,1: 96:[14, 25] Operation: 26-1=25
Exploring Operation: 1+14=15, Resulting Numbers: [26, 15]
Generated Node #0,1,2: 96:[26, 15] Operation: 1+14=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[1, 12], Operations: ['93-79=14', '26-14=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,96 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 #0,1,1
Current State: 96:[14, 25], Operations: ['93-79=14', '26-1=25']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 14*25=350, Resulting Numbers: [350]
350,96 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 #0,1,2
Current State: 96:[26, 15], Operations: ['93-79=14', '1+14=15']
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,96 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,96 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: 96:[93, 1, 53], Operations: ['79-26=53']
Exploring Operation: 53-1=52, Resulting Numbers: [93, 52]
Generated Node #0,2,0: 96:[93, 52] Operation: 53-1=52
Exploring Operation: 93*1=93, Resulting Numbers: [53, 93]
Generated Node #0,2,1: 96:[53, 93] Operation: 93*1=93
Exploring Operation: 93+1=94, Resulting Numbers: [53, 94]
Generated Node #0,2,2: 96:[53, 94] Operation: 93+1=94
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[93, 52], Operations: ['79-26=53', '53-1=52']
Exploring Operation: 93*52=4836, Resulting Numbers: [4836]
4836,96 unequal: No Solution
Exploring Operation: 93+52=145, Resulting Numbers: [145]
145,96 unequal: No Solution
Exploring Operation: 93-52=41, Resulting Numbers: [41]
41,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 96:[53, 94], Operations: ['79-26=53', '93+1=94']
Exploring Operation: 94-53=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 53+94=147, Resulting Numbers: [147]
147,96 unequal: No Solution
Exploring Operation: 53*94=4982, Resulting Numbers: [4982]
4982,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 96:[53, 93], Operations: ['79-26=53', '93*1=93']
Exploring Operation: 53+93=146, Resulting Numbers: [146]
146,96 unequal: No Solution
Exploring Operation: 53*93=4929, Resulting Numbers: [4929]
4929,96 unequal: No Solution
Exploring Operation: 93-53=40, Resulting Numbers: [40]
40,96 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: 96:[93, 1, 105], Operations: ['79+26=105']
Exploring Operation: 105-93=12, Resulting Numbers: [1, 12]
Generated Node #0,0,0: 96:[1, 12] Operation: 105-93=12
Exploring Operation: 105-1=104, Resulting Numbers: [93, 104]
Generated Node #0,0,1: 96:[93, 104] Operation: 105-1=104
Exploring Operation: 93+1=94, Resulting Numbers: [105, 94]
Generated Node #0,0,2: 96:[105, 94] Operation: 93+1=94
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[1, 12], Operations: ['79+26=105', '105-93=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,96 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 #0,0,1
Current State: 96:[93, 104], Operations: ['79+26=105', '105-1=104']
Exploring Operation: 104-93=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 93+104=197, Resulting Numbers: [197]
197,96 unequal: No Solution
Exploring Operation: 93*104=9672, Resulting Numbers: [9672]
9672,96 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 #0,0,2
Current State: 96:[105, 94], Operations: ['79+26=105', '93+1=94']
Exploring Operation: 105*94=9870, Resulting Numbers: [9870]
9870,96 unequal: No Solution
Exploring Operation: 105+94=199, Resulting Numbers: [199]
199,96 unequal: No Solution
Exploring Operation: 105-94=11, Resulting Numbers: [11]
11,96 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
|
[
30,
83,
73,
76
] | 50 |
[
"83-30=53",
"76-73=3",
"53-3=50"
] |
Current State: 50:[30, 83, 73, 76], Operations: []
Exploring Operation: 83-30=53, Resulting Numbers: [73, 76, 53]
Generated Node #2: [73, 76, 53] from Operation: 83-30=53
Current State: 50:[73, 76, 53], Operations: ['83-30=53']
Exploring Operation: 76-73=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 76-73=3
Current State: 50:[53, 3], Operations: ['83-30=53', '76-73=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[30, 83, 73, 76], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [30, 73, 7]
Generated Node #0,0: 50:[30, 73, 7] Operation: 83-76=7
Exploring Operation: 83-73=10, Resulting Numbers: [30, 76, 10]
Generated Node #0,1: 50:[30, 76, 10] Operation: 83-73=10
Exploring Operation: 83-30=53, Resulting Numbers: [73, 76, 53]
Generated Node #0,2: 50:[73, 76, 53] Operation: 83-30=53
Exploring Operation: 76-73=3, Resulting Numbers: [30, 83, 3]
Generated Node #0,3: 50:[30, 83, 3] Operation: 76-73=3
Moving to Node #0,0
Current State: 50:[30, 73, 7], Operations: ['83-76=7']
Exploring Operation: 30-7=23, Resulting Numbers: [73, 23]
Generated Node #0,0,0: 50:[73, 23] Operation: 30-7=23
Exploring Operation: 30+7=37, Resulting Numbers: [73, 37]
Generated Node #0,0,1: 50:[73, 37] Operation: 30+7=37
Exploring Operation: 73-30=43, Resulting Numbers: [7, 43]
Generated Node #0,0,2: 50:[7, 43] Operation: 73-30=43
Exploring Operation: 73-7=66, Resulting Numbers: [30, 66]
Generated Node #0,0,3: 50:[30, 66] Operation: 73-7=66
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 50:[7, 43], Operations: ['83-76=7', '73-30=43']
Exploring Operation: 7*43=301, Resulting Numbers: [301]
301,50 unequal: No Solution
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[30, 83, 73, 76], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [30, 73, 7]
Generated Node #0,0: 50:[30, 73, 7] Operation: 83-76=7
Moving to Node #0,0
Current State: 50:[30, 73, 7], Operations: ['83-76=7']
Exploring Operation: 73-30=43, Resulting Numbers: [7, 43]
Generated Node #0,0,2: 50:[7, 43] Operation: 73-30=43
Moving to Node #0,0,2
Current State: 50:[7, 43], Operations: ['83-76=7', '73-30=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
51,
20,
74,
90
] | 93 |
[
"51+20=71",
"74+90=164",
"164-71=93"
] |
Current State: 93:[51, 20, 74, 90], Operations: []
Exploring Operation: 51+20=71, Resulting Numbers: [74, 90, 71]
Generated Node #2: [74, 90, 71] from Operation: 51+20=71
Current State: 93:[74, 90, 71], Operations: ['51+20=71']
Exploring Operation: 74+90=164, Resulting Numbers: [71, 164]
Generated Node #3: [71, 164] from Operation: 74+90=164
Current State: 93:[71, 164], Operations: ['51+20=71', '74+90=164']
Exploring Operation: 164-71=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[51, 20, 74, 90], Operations: []
Exploring Operation: 20+74=94, Resulting Numbers: [51, 90, 94]
Generated Node #0,0: 93:[51, 90, 94] Operation: 20+74=94
Exploring Operation: 90-51=39, Resulting Numbers: [20, 74, 39]
Generated Node #0,1: 93:[20, 74, 39] Operation: 90-51=39
Exploring Operation: 51-20=31, Resulting Numbers: [74, 90, 31]
Generated Node #0,2: 93:[74, 90, 31] Operation: 51-20=31
Exploring Operation: 74-51=23, Resulting Numbers: [20, 90, 23]
Generated Node #0,3: 93:[20, 90, 23] Operation: 74-51=23
Moving to Node #0,2
Current State: 93:[74, 90, 31], Operations: ['51-20=31']
Exploring Operation: 90+31=121, Resulting Numbers: [74, 121]
Generated Node #0,2,0: 93:[74, 121] Operation: 90+31=121
Exploring Operation: 74-31=43, Resulting Numbers: [90, 43]
Generated Node #0,2,1: 93:[90, 43] Operation: 74-31=43
Exploring Operation: 74+31=105, Resulting Numbers: [90, 105]
Generated Node #0,2,2: 93:[90, 105] Operation: 74+31=105
Exploring Operation: 90-74=16, Resulting Numbers: [31, 16]
Generated Node #0,2,3: 93:[31, 16] Operation: 90-74=16
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 93:[31, 16], Operations: ['51-20=31', '90-74=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,93 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,93 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[90, 43], Operations: ['51-20=31', '74-31=43']
Exploring Operation: 90*43=3870, Resulting Numbers: [3870]
3870,93 unequal: No Solution
Exploring Operation: 90+43=133, Resulting Numbers: [133]
133,93 unequal: No Solution
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[90, 105], Operations: ['51-20=31', '74+31=105']
Exploring Operation: 90*105=9450, Resulting Numbers: [9450]
9450,93 unequal: No Solution
Exploring Operation: 90+105=195, Resulting Numbers: [195]
195,93 unequal: No Solution
Exploring Operation: 105-90=15, Resulting Numbers: [15]
15,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[74, 121], Operations: ['51-20=31', '90+31=121']
Exploring Operation: 74+121=195, Resulting Numbers: [195]
195,93 unequal: No Solution
Exploring Operation: 74*121=8954, Resulting Numbers: [8954]
8954,93 unequal: No Solution
Exploring Operation: 121-74=47, Resulting Numbers: [47]
47,93 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: 93:[20, 90, 23], Operations: ['74-51=23']
Exploring Operation: 23-20=3, Resulting Numbers: [90, 3]
Generated Node #0,3,0: 93:[90, 3] Operation: 23-20=3
Exploring Operation: 20+90=110, Resulting Numbers: [23, 110]
Generated Node #0,3,1: 93:[23, 110] Operation: 20+90=110
Exploring Operation: 90-20=70, Resulting Numbers: [23, 70]
Generated Node #0,3,2: 93:[23, 70] Operation: 90-20=70
Exploring Operation: 20+23=43, Resulting Numbers: [90, 43]
Generated Node #0,3,3: 93:[90, 43] Operation: 20+23=43
Moving to Node #0,0
Current State: 93:[51, 90, 94], Operations: ['20+74=94']
Exploring Operation: 94-51=43, Resulting Numbers: [90, 43]
Generated Node #0,0,0: 93:[90, 43] Operation: 94-51=43
Exploring Operation: 94-90=4, Resulting Numbers: [51, 4]
Generated Node #0,0,1: 93:[51, 4] Operation: 94-90=4
Exploring Operation: 90-51=39, Resulting Numbers: [94, 39]
Generated Node #0,0,2: 93:[94, 39] Operation: 90-51=39
Exploring Operation: 51+90=141, Resulting Numbers: [94, 141]
Generated Node #0,0,3: 93:[94, 141] Operation: 51+90=141
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 93:[94, 39], Operations: ['20+74=94', '90-51=39']
Exploring Operation: 94+39=133, Resulting Numbers: [133]
133,93 unequal: No Solution
Exploring Operation: 94*39=3666, Resulting Numbers: [3666]
3666,93 unequal: No Solution
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[90, 43], Operations: ['20+74=94', '94-51=43']
Exploring Operation: 90+43=133, Resulting Numbers: [133]
133,93 unequal: No Solution
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,93 unequal: No Solution
Exploring Operation: 90*43=3870, Resulting Numbers: [3870]
3870,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 93:[51, 4], Operations: ['20+74=94', '94-90=4']
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,93 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 93:[94, 141], Operations: ['20+74=94', '51+90=141']
Exploring Operation: 141-94=47, Resulting Numbers: [47]
47,93 unequal: No Solution
Exploring Operation: 94*141=13254, Resulting Numbers: [13254]
13254,93 unequal: No Solution
Exploring Operation: 94+141=235, Resulting Numbers: [235]
235,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 93:[20, 74, 39], Operations: ['90-51=39']
Exploring Operation: 39-20=19, Resulting Numbers: [74, 19]
Generated Node #0,1,0: 93:[74, 19] Operation: 39-20=19
Exploring Operation: 20+74=94, Resulting Numbers: [39, 94]
Generated Node #0,1,1: 93:[39, 94] Operation: 20+74=94
Exploring Operation: 74-39=35, Resulting Numbers: [20, 35]
Generated Node #0,1,2: 93:[20, 35] Operation: 74-39=35
Exploring Operation: 74-20=54, Resulting Numbers: [39, 54]
Generated Node #0,1,3: 93:[39, 54] Operation: 74-20=54
Moving to Node #0,3,0
Current State: 93:[90, 3], Operations: ['74-51=23', '23-20=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 90*3=270, Resulting Numbers: [270]
270,93 unequal: No Solution
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[51, 20, 74, 90], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [20, 90, 23]
Generated Node #0,3: 93:[20, 90, 23] Operation: 74-51=23
Moving to Node #0,3
Current State: 93:[20, 90, 23], Operations: ['74-51=23']
Exploring Operation: 23-20=3, Resulting Numbers: [90, 3]
Generated Node #0,3,0: 93:[90, 3] Operation: 23-20=3
Moving to Node #0,3,0
Current State: 93:[90, 3], Operations: ['74-51=23', '23-20=3']
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.955729 |
hs_4
|
sum_heuristic
|
[
23,
51,
39,
26
] | 37 |
[
"51-23=28",
"39+26=65",
"65-28=37"
] |
Current State: 37:[23, 51, 39, 26], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [39, 26, 28]
Generated Node #2: [39, 26, 28] from Operation: 51-23=28
Current State: 37:[39, 26, 28], Operations: ['51-23=28']
Exploring Operation: 39+26=65, Resulting Numbers: [28, 65]
Generated Node #3: [28, 65] from Operation: 39+26=65
Current State: 37:[28, 65], Operations: ['51-23=28', '39+26=65']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[23, 51, 39, 26], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [39, 26, 28]
Generated Node #0,0: 37:[39, 26, 28] Operation: 51-23=28
Exploring Operation: 23+26=49, Resulting Numbers: [51, 39, 49]
Generated Node #0,1: 37:[51, 39, 49] Operation: 23+26=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[39, 26, 28], Operations: ['51-23=28']
Exploring Operation: 39-26=13, Resulting Numbers: [28, 13]
Generated Node #0,0,0: 37:[28, 13] Operation: 39-26=13
Exploring Operation: 26+28=54, Resulting Numbers: [39, 54]
Generated Node #0,0,1: 37:[39, 54] Operation: 26+28=54
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[39, 54], Operations: ['51-23=28', '26+28=54']
Exploring Operation: 39+54=93, Resulting Numbers: [93]
93,37 unequal: No Solution
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,37 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 #0,0,0
Current State: 37:[28, 13], Operations: ['51-23=28', '39-26=13']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[51, 39, 49], Operations: ['23+26=49']
Exploring Operation: 51-49=2, Resulting Numbers: [39, 2]
Generated Node #0,1,0: 37:[39, 2] Operation: 51-49=2
Exploring Operation: 51-39=12, Resulting Numbers: [49, 12]
Generated Node #0,1,1: 37:[49, 12] Operation: 51-39=12
Moving to Node #0,1,0
Current State: 37:[39, 2], Operations: ['23+26=49', '51-49=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[23, 51, 39, 26], Operations: []
Exploring Operation: 23+26=49, Resulting Numbers: [51, 39, 49]
Generated Node #0,1: 37:[51, 39, 49] Operation: 23+26=49
Moving to Node #0,1
Current State: 37:[51, 39, 49], Operations: ['23+26=49']
Exploring Operation: 51-49=2, Resulting Numbers: [39, 2]
Generated Node #0,1,0: 37:[39, 2] Operation: 51-49=2
Moving to Node #0,1,0
Current State: 37:[39, 2], Operations: ['23+26=49', '51-49=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_2
|
mult_heuristic
|
[
56,
44,
88,
11
] | 28 |
[
"88-56=32",
"44/11=4",
"32-4=28"
] |
Current State: 28:[56, 44, 88, 11], Operations: []
Exploring Operation: 88-56=32, Resulting Numbers: [44, 11, 32]
Generated Node #2: [44, 11, 32] from Operation: 88-56=32
Current State: 28:[44, 11, 32], Operations: ['88-56=32']
Exploring Operation: 44/11=4, Resulting Numbers: [32, 4]
Generated Node #3: [32, 4] from Operation: 44/11=4
Current State: 28:[32, 4], Operations: ['88-56=32', '44/11=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
Current State: 28:[56, 44, 88, 11], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [56, 11, 2]
Generated Node #0,0: 28:[56, 11, 2] Operation: 88/44=2
Exploring Operation: 88/11=8, Resulting Numbers: [56, 44, 8]
Generated Node #0,1: 28:[56, 44, 8] Operation: 88/11=8
Exploring Operation: 88-56=32, Resulting Numbers: [44, 11, 32]
Generated Node #0,2: 28:[44, 11, 32] Operation: 88-56=32
Moving to Node #0,2
Current State: 28:[44, 11, 32], Operations: ['88-56=32']
Exploring Operation: 44-11=33, Resulting Numbers: [32, 33]
Generated Node #0,2,0: 28:[32, 33] Operation: 44-11=33
Exploring Operation: 44-32=12, Resulting Numbers: [11, 12]
Generated Node #0,2,1: 28:[11, 12] Operation: 44-32=12
Exploring Operation: 44/11=4, Resulting Numbers: [32, 4]
Generated Node #0,2,2: 28:[32, 4] Operation: 44/11=4
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 28:[32, 4], Operations: ['88-56=32', '44/11=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[56, 44, 88, 11], Operations: []
Exploring Operation: 88-56=32, Resulting Numbers: [44, 11, 32]
Generated Node #0,2: 28:[44, 11, 32] Operation: 88-56=32
Moving to Node #0,2
Current State: 28:[44, 11, 32], Operations: ['88-56=32']
Exploring Operation: 44/11=4, Resulting Numbers: [32, 4]
Generated Node #0,2,2: 28:[32, 4] Operation: 44/11=4
Moving to Node #0,2,2
Current State: 28:[32, 4], Operations: ['88-56=32', '44/11=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_3
|
mult_heuristic
|
[
52,
35,
66,
88
] | 74 |
[
"52*66=3432",
"3432/88=39",
"35+39=74"
] |
Current State: 74:[52, 35, 66, 88], Operations: []
Exploring Operation: 52*66=3432, Resulting Numbers: [35, 88, 3432]
Generated Node #2: [35, 88, 3432] from Operation: 52*66=3432
Current State: 74:[35, 88, 3432], Operations: ['52*66=3432']
Exploring Operation: 3432/88=39, Resulting Numbers: [35, 39]
Generated Node #3: [35, 39] from Operation: 3432/88=39
Current State: 74:[35, 39], Operations: ['52*66=3432', '3432/88=39']
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[52, 35, 66, 88], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [35, 66, 36]
Generated Node #0,0: 74:[35, 66, 36] Operation: 88-52=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[35, 66, 36], Operations: ['88-52=36']
Exploring Operation: 66-35=31, Resulting Numbers: [36, 31]
Generated Node #0,0,0: 74:[36, 31] Operation: 66-35=31
Moving to Node #0,0,0
Current State: 74:[36, 31], Operations: ['88-52=36', '66-35=31']
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
65,
58,
8,
19
] | 61 |
[
"65-8=57",
"57/19=3",
"58+3=61"
] |
Current State: 61:[65, 58, 8, 19], Operations: []
Exploring Operation: 65-8=57, Resulting Numbers: [58, 19, 57]
Generated Node #2: [58, 19, 57] from Operation: 65-8=57
Current State: 61:[58, 19, 57], Operations: ['65-8=57']
Exploring Operation: 57/19=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 57/19=3
Current State: 61:[58, 3], Operations: ['65-8=57', '57/19=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
Current State: 61:[65, 58, 8, 19], Operations: []
Exploring Operation: 58+8=66, Resulting Numbers: [65, 19, 66]
Generated Node #0,0: 61:[65, 19, 66] Operation: 58+8=66
Exploring Operation: 65-8=57, Resulting Numbers: [58, 19, 57]
Generated Node #0,1: 61:[58, 19, 57] Operation: 65-8=57
Exploring Operation: 65+8=73, Resulting Numbers: [58, 19, 73]
Generated Node #0,2: 61:[58, 19, 73] Operation: 65+8=73
Exploring Operation: 8+19=27, Resulting Numbers: [65, 58, 27]
Generated Node #0,3: 61:[65, 58, 27] Operation: 8+19=27
Moving to Node #0,3
Current State: 61:[65, 58, 27], Operations: ['8+19=27']
Exploring Operation: 65+27=92, Resulting Numbers: [58, 92]
Generated Node #0,3,0: 61:[58, 92] Operation: 65+27=92
Exploring Operation: 58-27=31, Resulting Numbers: [65, 31]
Generated Node #0,3,1: 61:[65, 31] Operation: 58-27=31
Exploring Operation: 65-27=38, Resulting Numbers: [58, 38]
Generated Node #0,3,2: 61:[58, 38] Operation: 65-27=38
Exploring Operation: 58+27=85, Resulting Numbers: [65, 85]
Generated Node #0,3,3: 61:[65, 85] Operation: 58+27=85
Moving to Node #0,1
Current State: 61:[58, 19, 57], Operations: ['65-8=57']
Exploring Operation: 57-19=38, Resulting Numbers: [58, 38]
Generated Node #0,1,0: 61:[58, 38] Operation: 57-19=38
Exploring Operation: 19+57=76, Resulting Numbers: [58, 76]
Generated Node #0,1,1: 61:[58, 76] Operation: 19+57=76
Exploring Operation: 58+19=77, Resulting Numbers: [57, 77]
Generated Node #0,1,2: 61:[57, 77] Operation: 58+19=77
Exploring Operation: 58-19=39, Resulting Numbers: [57, 39]
Generated Node #0,1,3: 61:[57, 39] Operation: 58-19=39
Moving to Node #0,0
Current State: 61:[65, 19, 66], Operations: ['58+8=66']
Exploring Operation: 19+66=85, Resulting Numbers: [65, 85]
Generated Node #0,0,0: 61:[65, 85] Operation: 19+66=85
Exploring Operation: 65+19=84, Resulting Numbers: [66, 84]
Generated Node #0,0,1: 61:[66, 84] Operation: 65+19=84
Exploring Operation: 65-19=46, Resulting Numbers: [66, 46]
Generated Node #0,0,2: 61:[66, 46] Operation: 65-19=46
Exploring Operation: 66-19=47, Resulting Numbers: [65, 47]
Generated Node #0,0,3: 61:[65, 47] Operation: 66-19=47
Moving to Node #0,2
Current State: 61:[58, 19, 73], Operations: ['65+8=73']
Exploring Operation: 58+19=77, Resulting Numbers: [73, 77]
Generated Node #0,2,0: 61:[73, 77] Operation: 58+19=77
Exploring Operation: 58-19=39, Resulting Numbers: [73, 39]
Generated Node #0,2,1: 61:[73, 39] Operation: 58-19=39
Exploring Operation: 73-19=54, Resulting Numbers: [58, 54]
Generated Node #0,2,2: 61:[58, 54] Operation: 73-19=54
Exploring Operation: 19+73=92, Resulting Numbers: [58, 92]
Generated Node #0,2,3: 61:[58, 92] Operation: 19+73=92
Moving to Node #0,2,2
Current State: 61:[58, 54], Operations: ['65+8=73', '73-19=54']
Exploring Operation: 58+54=112, Resulting Numbers: [112]
112,61 unequal: No Solution
Exploring Operation: 58*54=3132, Resulting Numbers: [3132]
3132,61 unequal: No Solution
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[58, 76], Operations: ['65-8=57', '19+57=76']
Exploring Operation: 76-58=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 58+76=134, Resulting Numbers: [134]
134,61 unequal: No Solution
Exploring Operation: 58*76=4408, Resulting Numbers: [4408]
4408,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[65, 47], Operations: ['58+8=66', '66-19=47']
Exploring Operation: 65*47=3055, Resulting Numbers: [3055]
3055,61 unequal: No Solution
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 65+47=112, Resulting Numbers: [112]
112,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[57, 77], Operations: ['65-8=57', '58+19=77']
Exploring Operation: 57*77=4389, Resulting Numbers: [4389]
4389,61 unequal: No Solution
Exploring Operation: 57+77=134, Resulting Numbers: [134]
134,61 unequal: No Solution
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[66, 46], Operations: ['58+8=66', '65-19=46']
Exploring Operation: 66+46=112, Resulting Numbers: [112]
112,61 unequal: No Solution
Exploring Operation: 66-46=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Exploring Operation: 66*46=3036, Resulting Numbers: [3036]
3036,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[58, 38], Operations: ['65-8=57', '57-19=38']
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Exploring Operation: 58+38=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Exploring Operation: 58*38=2204, Resulting Numbers: [2204]
2204,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[58, 38], Operations: ['8+19=27', '65-27=38']
Exploring Operation: 58+38=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Exploring Operation: 58*38=2204, Resulting Numbers: [2204]
2204,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[57, 39], Operations: ['65-8=57', '58-19=39']
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 57+39=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Exploring Operation: 57*39=2223, Resulting Numbers: [2223]
2223,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[73, 77], Operations: ['65+8=73', '58+19=77']
Exploring Operation: 73*77=5621, Resulting Numbers: [5621]
5621,61 unequal: No Solution
Exploring Operation: 77-73=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 73+77=150, Resulting Numbers: [150]
150,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[66, 84], Operations: ['58+8=66', '65+19=84']
Exploring Operation: 66*84=5544, Resulting Numbers: [5544]
5544,61 unequal: No Solution
Exploring Operation: 66+84=150, Resulting Numbers: [150]
150,61 unequal: No Solution
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[65, 85], Operations: ['58+8=66', '19+66=85']
Exploring Operation: 65+85=150, Resulting Numbers: [150]
150,61 unequal: No Solution
Exploring Operation: 85-65=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Exploring Operation: 65*85=5525, Resulting Numbers: [5525]
5525,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[65, 85], Operations: ['8+19=27', '58+27=85']
Exploring Operation: 65+85=150, Resulting Numbers: [150]
150,61 unequal: No Solution
Exploring Operation: 85-65=20, Resulting Numbers: [20]
20,61 unequal: No Solution
Exploring Operation: 65*85=5525, Resulting Numbers: [5525]
5525,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[58, 92], Operations: ['8+19=27', '65+27=92']
Exploring Operation: 92-58=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 58+92=150, Resulting Numbers: [150]
150,61 unequal: No Solution
Exploring Operation: 58*92=5336, Resulting Numbers: [5336]
5336,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[73, 39], Operations: ['65+8=73', '58-19=39']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 73*39=2847, Resulting Numbers: [2847]
2847,61 unequal: No Solution
Exploring Operation: 73+39=112, Resulting Numbers: [112]
112,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[65, 31], Operations: ['8+19=27', '58-27=31']
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,61 unequal: No Solution
Exploring Operation: 65*31=2015, Resulting Numbers: [2015]
2015,61 unequal: No Solution
Exploring Operation: 65+31=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[58, 92], Operations: ['65+8=73', '19+73=92']
Exploring Operation: 58+92=150, Resulting Numbers: [150]
150,61 unequal: No Solution
Exploring Operation: 58*92=5336, Resulting Numbers: [5336]
5336,61 unequal: No Solution
Exploring Operation: 92-58=34, Resulting Numbers: [34]
34,61 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
2,
38,
62,
54
] | 73 |
[
"54/2=27",
"38+62=100",
"100-27=73"
] |
Current State: 73:[2, 38, 62, 54], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [38, 62, 27]
Generated Node #2: [38, 62, 27] from Operation: 54/2=27
Current State: 73:[38, 62, 27], Operations: ['54/2=27']
Exploring Operation: 38+62=100, Resulting Numbers: [27, 100]
Generated Node #3: [27, 100] from Operation: 38+62=100
Current State: 73:[27, 100], Operations: ['54/2=27', '38+62=100']
Exploring Operation: 100-27=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[2, 38, 62, 54], Operations: []
Exploring Operation: 2+62=64, Resulting Numbers: [38, 54, 64]
Generated Node #0,0: 73:[38, 54, 64] Operation: 2+62=64
Exploring Operation: 2+54=56, Resulting Numbers: [38, 62, 56]
Generated Node #0,1: 73:[38, 62, 56] Operation: 2+54=56
Exploring Operation: 2*38=76, Resulting Numbers: [62, 54, 76]
Generated Node #0,2: 73:[62, 54, 76] Operation: 2*38=76
Exploring Operation: 2+38=40, Resulting Numbers: [62, 54, 40]
Generated Node #0,3: 73:[62, 54, 40] Operation: 2+38=40
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[62, 54, 76], Operations: ['2*38=76']
Exploring Operation: 62+54=116, Resulting Numbers: [76, 116]
Generated Node #0,2,0: 73:[76, 116] Operation: 62+54=116
Exploring Operation: 54+76=130, Resulting Numbers: [62, 130]
Generated Node #0,2,1: 73:[62, 130] Operation: 54+76=130
Exploring Operation: 76-54=22, Resulting Numbers: [62, 22]
Generated Node #0,2,2: 73:[62, 22] Operation: 76-54=22
Exploring Operation: 62-54=8, Resulting Numbers: [76, 8]
Generated Node #0,2,3: 73:[76, 8] Operation: 62-54=8
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 73:[76, 116], Operations: ['2*38=76', '62+54=116']
Exploring Operation: 76+116=192, Resulting Numbers: [192]
192,73 unequal: No Solution
Exploring Operation: 116-76=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 76*116=8816, Resulting Numbers: [8816]
8816,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 73:[62, 22], Operations: ['2*38=76', '76-54=22']
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 62+22=84, Resulting Numbers: [84]
84,73 unequal: No Solution
Exploring Operation: 62*22=1364, Resulting Numbers: [1364]
1364,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 73:[62, 130], Operations: ['2*38=76', '54+76=130']
Exploring Operation: 62*130=8060, Resulting Numbers: [8060]
8060,73 unequal: No Solution
Exploring Operation: 62+130=192, Resulting Numbers: [192]
192,73 unequal: No Solution
Exploring Operation: 130-62=68, Resulting Numbers: [68]
68,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 73:[76, 8], Operations: ['2*38=76', '62-54=8']
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,73 unequal: No Solution
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 76*8=608, Resulting Numbers: [608]
608,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[38, 54, 64], Operations: ['2+62=64']
Exploring Operation: 38+54=92, Resulting Numbers: [64, 92]
Generated Node #0,0,0: 73:[64, 92] Operation: 38+54=92
Exploring Operation: 64-38=26, Resulting Numbers: [54, 26]
Generated Node #0,0,1: 73:[54, 26] Operation: 64-38=26
Exploring Operation: 38+64=102, Resulting Numbers: [54, 102]
Generated Node #0,0,2: 73:[54, 102] Operation: 38+64=102
Exploring Operation: 54-38=16, Resulting Numbers: [64, 16]
Generated Node #0,0,3: 73:[64, 16] Operation: 54-38=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[64, 92], Operations: ['2+62=64', '38+54=92']
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,73 unequal: No Solution
Exploring Operation: 64*92=5888, Resulting Numbers: [5888]
5888,73 unequal: No Solution
Exploring Operation: 64+92=156, Resulting Numbers: [156]
156,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[54, 102], Operations: ['2+62=64', '38+64=102']
Exploring Operation: 102-54=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 54+102=156, Resulting Numbers: [156]
156,73 unequal: No Solution
Exploring Operation: 54*102=5508, Resulting Numbers: [5508]
5508,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[54, 26], Operations: ['2+62=64', '64-38=26']
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,73 unequal: No Solution
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 73:[64, 16], Operations: ['2+62=64', '54-38=16']
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 64+16=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 64*16=1024, Resulting Numbers: [1024]
1024,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[38, 62, 56], Operations: ['2+54=56']
Exploring Operation: 38+56=94, Resulting Numbers: [62, 94]
Generated Node #0,1,0: 73:[62, 94] Operation: 38+56=94
Exploring Operation: 56-38=18, Resulting Numbers: [62, 18]
Generated Node #0,1,1: 73:[62, 18] Operation: 56-38=18
Exploring Operation: 62-38=24, Resulting Numbers: [56, 24]
Generated Node #0,1,2: 73:[56, 24] Operation: 62-38=24
Exploring Operation: 38+62=100, Resulting Numbers: [56, 100]
Generated Node #0,1,3: 73:[56, 100] Operation: 38+62=100
Moving to Node #0,1,0
Current State: 73:[62, 94], Operations: ['2+54=56', '38+56=94']
Exploring Operation: 62+94=156, Resulting Numbers: [156]
156,73 unequal: No Solution
Exploring Operation: 94-62=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 62*94=5828, Resulting Numbers: [5828]
5828,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[56, 100], Operations: ['2+54=56', '38+62=100']
Exploring Operation: 100-56=44, Resulting Numbers: [44]
44,73 unequal: No Solution
Exploring Operation: 56+100=156, Resulting Numbers: [156]
156,73 unequal: No Solution
Exploring Operation: 56*100=5600, Resulting Numbers: [5600]
5600,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[56, 24], Operations: ['2+54=56', '62-38=24']
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 56+24=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 56*24=1344, Resulting Numbers: [1344]
1344,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[62, 18], Operations: ['2+54=56', '56-38=18']
Exploring Operation: 62*18=1116, Resulting Numbers: [1116]
1116,73 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,73 unequal: No Solution
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[62, 54, 40], Operations: ['2+38=40']
Exploring Operation: 54+40=94, Resulting Numbers: [62, 94]
Generated Node #0,3,0: 73:[62, 94] Operation: 54+40=94
Exploring Operation: 62+40=102, Resulting Numbers: [54, 102]
Generated Node #0,3,1: 73:[54, 102] Operation: 62+40=102
Exploring Operation: 54-40=14, Resulting Numbers: [62, 14]
Generated Node #0,3,2: 73:[62, 14] Operation: 54-40=14
Exploring Operation: 62-40=22, Resulting Numbers: [54, 22]
Generated Node #0,3,3: 73:[54, 22] Operation: 62-40=22
Moving to Node #0,3,0
Current State: 73:[62, 94], Operations: ['2+38=40', '54+40=94']
Exploring Operation: 62+94=156, Resulting Numbers: [156]
156,73 unequal: No Solution
Exploring Operation: 62*94=5828, Resulting Numbers: [5828]
5828,73 unequal: No Solution
Exploring Operation: 94-62=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[54, 102], Operations: ['2+38=40', '62+40=102']
Exploring Operation: 54+102=156, Resulting Numbers: [156]
156,73 unequal: No Solution
Exploring Operation: 102-54=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 54*102=5508, Resulting Numbers: [5508]
5508,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[54, 22], Operations: ['2+38=40', '62-40=22']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,73 unequal: No Solution
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[62, 14], Operations: ['2+38=40', '54-40=14']
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,73 unequal: No Solution
Exploring Operation: 62*14=868, Resulting Numbers: [868]
868,73 unequal: No Solution
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
80,
86,
20,
78
] | 80 |
[
"86-78=8",
"20*8=160",
"160-80=80"
] |
Current State: 80:[80, 86, 20, 78], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [80, 20, 8]
Generated Node #2: [80, 20, 8] from Operation: 86-78=8
Current State: 80:[80, 20, 8], Operations: ['86-78=8']
Exploring Operation: 20*8=160, Resulting Numbers: [80, 160]
Generated Node #3: [80, 160] from Operation: 20*8=160
Current State: 80:[80, 160], Operations: ['86-78=8', '20*8=160']
Exploring Operation: 160-80=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[80, 86, 20, 78], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [20, 78, 6]
Generated Node #0,0: 80:[20, 78, 6] Operation: 86-80=6
Exploring Operation: 86-78=8, Resulting Numbers: [80, 20, 8]
Generated Node #0,1: 80:[80, 20, 8] Operation: 86-78=8
Exploring Operation: 80-78=2, Resulting Numbers: [86, 20, 2]
Generated Node #0,2: 80:[86, 20, 2] Operation: 80-78=2
Exploring Operation: 80/20=4, Resulting Numbers: [86, 78, 4]
Generated Node #0,3: 80:[86, 78, 4] Operation: 80/20=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[80, 20, 8], Operations: ['86-78=8']
Exploring Operation: 80/8=10, Resulting Numbers: [20, 10]
Generated Node #0,1,0: 80:[20, 10] Operation: 80/8=10
Exploring Operation: 80+8=88, Resulting Numbers: [20, 88]
Generated Node #0,1,1: 80:[20, 88] Operation: 80+8=88
Exploring Operation: 20-8=12, Resulting Numbers: [80, 12]
Generated Node #0,1,2: 80:[80, 12] Operation: 20-8=12
Exploring Operation: 80/20=4, Resulting Numbers: [8, 4]
Generated Node #0,1,3: 80:[8, 4] Operation: 80/20=4
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[20, 10], Operations: ['86-78=8', '80/8=10']
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,80 unequal: No Solution
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,80 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,80 unequal: No Solution
No 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: 80:[8, 4], Operations: ['86-78=8', '80/20=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,80 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,80 unequal: No Solution
No 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: 80:[80, 12], Operations: ['86-78=8', '20-8=12']
Exploring Operation: 80*12=960, Resulting Numbers: [960]
960,80 unequal: No Solution
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,80 unequal: No Solution
No 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: 80:[20, 88], Operations: ['86-78=8', '80+8=88']
Exploring Operation: 20+88=108, Resulting Numbers: [108]
108,80 unequal: No Solution
Exploring Operation: 20*88=1760, Resulting Numbers: [1760]
1760,80 unequal: No Solution
Exploring Operation: 88-20=68, Resulting Numbers: [68]
68,80 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: 80:[20, 78, 6], Operations: ['86-80=6']
Exploring Operation: 78+6=84, Resulting Numbers: [20, 84]
Generated Node #0,0,0: 80:[20, 84] Operation: 78+6=84
Exploring Operation: 78/6=13, Resulting Numbers: [20, 13]
Generated Node #0,0,1: 80:[20, 13] Operation: 78/6=13
Exploring Operation: 20-6=14, Resulting Numbers: [78, 14]
Generated Node #0,0,2: 80:[78, 14] Operation: 20-6=14
Exploring Operation: 20+6=26, Resulting Numbers: [78, 26]
Generated Node #0,0,3: 80:[78, 26] Operation: 20+6=26
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[20, 13], Operations: ['86-80=6', '78/6=13']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,80 unequal: No Solution
No 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: 80:[20, 84], Operations: ['86-80=6', '78+6=84']
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Exploring Operation: 20*84=1680, Resulting Numbers: [1680]
1680,80 unequal: No Solution
Exploring Operation: 20+84=104, Resulting Numbers: [104]
104,80 unequal: No Solution
No 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: 80:[78, 14], Operations: ['86-80=6', '20-6=14']
Exploring Operation: 78+14=92, Resulting Numbers: [92]
92,80 unequal: No Solution
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Exploring Operation: 78*14=1092, Resulting Numbers: [1092]
1092,80 unequal: No Solution
No 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: 80:[78, 26], Operations: ['86-80=6', '20+6=26']
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Exploring Operation: 78*26=2028, Resulting Numbers: [2028]
2028,80 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,80 unequal: No Solution
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,80 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: 80:[86, 20, 2], Operations: ['80-78=2']
Exploring Operation: 20/2=10, Resulting Numbers: [86, 10]
Generated Node #0,2,0: 80:[86, 10] Operation: 20/2=10
Exploring Operation: 86-2=84, Resulting Numbers: [20, 84]
Generated Node #0,2,1: 80:[20, 84] Operation: 86-2=84
Exploring Operation: 86/2=43, Resulting Numbers: [20, 43]
Generated Node #0,2,2: 80:[20, 43] Operation: 86/2=43
Exploring Operation: 20*2=40, Resulting Numbers: [86, 40]
Generated Node #0,2,3: 80:[86, 40] Operation: 20*2=40
Moving to Node #0,2,2
Current State: 80:[20, 43], Operations: ['80-78=2', '86/2=43']
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 20*43=860, Resulting Numbers: [860]
860,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[20, 84], Operations: ['80-78=2', '86-2=84']
Exploring Operation: 20*84=1680, Resulting Numbers: [1680]
1680,80 unequal: No Solution
Exploring Operation: 20+84=104, Resulting Numbers: [104]
104,80 unequal: No Solution
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[86, 40], Operations: ['80-78=2', '20*2=40']
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 86+40=126, Resulting Numbers: [126]
126,80 unequal: No Solution
Exploring Operation: 86*40=3440, Resulting Numbers: [3440]
3440,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[86, 10], Operations: ['80-78=2', '20/2=10']
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,80 unequal: No Solution
Exploring Operation: 86+10=96, Resulting Numbers: [96]
96,80 unequal: No Solution
Exploring Operation: 86*10=860, Resulting Numbers: [860]
860,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 80:[86, 78, 4], Operations: ['80/20=4']
Exploring Operation: 86+4=90, Resulting Numbers: [78, 90]
Generated Node #0,3,0: 80:[78, 90] Operation: 86+4=90
Exploring Operation: 78+4=82, Resulting Numbers: [86, 82]
Generated Node #0,3,1: 80:[86, 82] Operation: 78+4=82
Exploring Operation: 86-78=8, Resulting Numbers: [4, 8]
Generated Node #0,3,2: 80:[4, 8] Operation: 86-78=8
Exploring Operation: 86-4=82, Resulting Numbers: [78, 82]
Generated Node #0,3,3: 80:[78, 82] Operation: 86-4=82
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 80:[4, 8], Operations: ['80/20=4', '86-78=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,80 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,80 unequal: No Solution
No 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: 80:[78, 82], Operations: ['80/20=4', '86-4=82']
Exploring Operation: 78*82=6396, Resulting Numbers: [6396]
6396,80 unequal: No Solution
Exploring Operation: 78+82=160, Resulting Numbers: [160]
160,80 unequal: No Solution
Exploring Operation: 82-78=4, Resulting Numbers: [4]
4,80 unequal: No Solution
No 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: 80:[86, 82], Operations: ['80/20=4', '78+4=82']
Exploring Operation: 86-82=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 86*82=7052, Resulting Numbers: [7052]
7052,80 unequal: No Solution
Exploring Operation: 86+82=168, Resulting Numbers: [168]
168,80 unequal: No Solution
No 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: 80:[78, 90], Operations: ['80/20=4', '86+4=90']
Exploring Operation: 78*90=7020, Resulting Numbers: [7020]
7020,80 unequal: No Solution
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 78+90=168, Resulting Numbers: [168]
168,80 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
|
[
5,
84,
5,
88
] | 21 |
[
"5*5=25",
"88-84=4",
"25-4=21"
] |
Current State: 21:[5, 84, 5, 88], Operations: []
Exploring Operation: 5*5=25, Resulting Numbers: [84, 88, 25]
Generated Node #2: [84, 88, 25] from Operation: 5*5=25
Current State: 21:[84, 88, 25], Operations: ['5*5=25']
Exploring Operation: 88-84=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 88-84=4
Current State: 21:[25, 4], Operations: ['5*5=25', '88-84=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
Current State: 21:[5, 84, 5, 88], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [5, 5, 4]
Generated Node #0,0: 21:[5, 5, 4] Operation: 88-84=4
Exploring Operation: 84-5=79, Resulting Numbers: [5, 88, 79]
Generated Node #0,1: 21:[5, 88, 79] Operation: 84-5=79
Exploring Operation: 88-5=83, Resulting Numbers: [84, 5, 83]
Generated Node #0,2: 21:[84, 5, 83] Operation: 88-5=83
Exploring Operation: 84-5=79, Resulting Numbers: [5, 88, 79]
Generated Node #0,3: 21:[5, 88, 79] Operation: 84-5=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[5, 5, 4], Operations: ['88-84=4']
Exploring Operation: 5/5=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 21:[4, 1] Operation: 5/5=1
Exploring Operation: 5*4=20, Resulting Numbers: [5, 20]
Generated Node #0,0,1: 21:[5, 20] Operation: 5*4=20
Exploring Operation: 5*4=20, Resulting Numbers: [5, 20]
Generated Node #0,0,2: 21:[5, 20] Operation: 5*4=20
Exploring Operation: 5+5=10, Resulting Numbers: [4, 10]
Generated Node #0,0,3: 21:[4, 10] Operation: 5+5=10
Moving to Node #0,0,0
Current State: 21:[4, 1], Operations: ['88-84=4', '5/5=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[5, 20], Operations: ['88-84=4', '5*4=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[5, 20], Operations: ['88-84=4', '5*4=20']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,21 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Moving to Node #0,0,3
Current State: 21:[4, 10], Operations: ['88-84=4', '5+5=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,21 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 #0,1
Current State: 21:[5, 88, 79], Operations: ['84-5=79']
Exploring Operation: 88-5=83, Resulting Numbers: [79, 83]
Generated Node #0,1,0: 21:[79, 83] Operation: 88-5=83
Exploring Operation: 79-5=74, Resulting Numbers: [88, 74]
Generated Node #0,1,1: 21:[88, 74] Operation: 79-5=74
Exploring Operation: 5+88=93, Resulting Numbers: [79, 93]
Generated Node #0,1,2: 21:[79, 93] Operation: 5+88=93
Exploring Operation: 88-79=9, Resulting Numbers: [5, 9]
Generated Node #0,1,3: 21:[5, 9] Operation: 88-79=9
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 21:[5, 9], Operations: ['84-5=79', '88-79=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,21 unequal: No Solution
No 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: 21:[79, 83], Operations: ['84-5=79', '88-5=83']
Exploring Operation: 79+83=162, Resulting Numbers: [162]
162,21 unequal: No Solution
Exploring Operation: 79*83=6557, Resulting Numbers: [6557]
6557,21 unequal: No Solution
Exploring Operation: 83-79=4, Resulting Numbers: [4]
4,21 unequal: No Solution
No 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: 21:[88, 74], Operations: ['84-5=79', '79-5=74']
Exploring Operation: 88*74=6512, Resulting Numbers: [6512]
6512,21 unequal: No Solution
Exploring Operation: 88+74=162, Resulting Numbers: [162]
162,21 unequal: No Solution
Exploring Operation: 88-74=14, Resulting Numbers: [14]
14,21 unequal: No Solution
No 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: 21:[79, 93], Operations: ['84-5=79', '5+88=93']
Exploring Operation: 79+93=172, Resulting Numbers: [172]
172,21 unequal: No Solution
Exploring Operation: 93-79=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 79*93=7347, Resulting Numbers: [7347]
7347,21 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: 21:[84, 5, 83], Operations: ['88-5=83']
Exploring Operation: 84-83=1, Resulting Numbers: [5, 1]
Generated Node #0,2,0: 21:[5, 1] Operation: 84-83=1
Exploring Operation: 84+5=89, Resulting Numbers: [83, 89]
Generated Node #0,2,1: 21:[83, 89] Operation: 84+5=89
Exploring Operation: 84-5=79, Resulting Numbers: [83, 79]
Generated Node #0,2,2: 21:[83, 79] Operation: 84-5=79
Exploring Operation: 83-5=78, Resulting Numbers: [84, 78]
Generated Node #0,2,3: 21:[84, 78] Operation: 83-5=78
Moving to Node #0,2,0
Current State: 21:[5, 1], Operations: ['88-5=83', '84-83=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Moving to Node #0,2,3
Current State: 21:[84, 78], Operations: ['88-5=83', '83-5=78']
Exploring Operation: 84*78=6552, Resulting Numbers: [6552]
6552,21 unequal: No Solution
Exploring Operation: 84+78=162, Resulting Numbers: [162]
162,21 unequal: No Solution
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Moving to Node #0,2,2
Current State: 21:[83, 79], Operations: ['88-5=83', '84-5=79']
Exploring Operation: 83+79=162, Resulting Numbers: [162]
162,21 unequal: No Solution
Exploring Operation: 83-79=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 83*79=6557, Resulting Numbers: [6557]
6557,21 unequal: No Solution
Moving to Node #0,2,1
Current State: 21:[83, 89], Operations: ['88-5=83', '84+5=89']
Exploring Operation: 89-83=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 83*89=7387, Resulting Numbers: [7387]
7387,21 unequal: No Solution
Exploring Operation: 83+89=172, Resulting Numbers: [172]
172,21 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 #0,3
Current State: 21:[5, 88, 79], Operations: ['84-5=79']
Exploring Operation: 88-5=83, Resulting Numbers: [79, 83]
Generated Node #0,3,0: 21:[79, 83] Operation: 88-5=83
Exploring Operation: 5+88=93, Resulting Numbers: [79, 93]
Generated Node #0,3,1: 21:[79, 93] Operation: 5+88=93
Exploring Operation: 79-5=74, Resulting Numbers: [88, 74]
Generated Node #0,3,2: 21:[88, 74] Operation: 79-5=74
Exploring Operation: 88-79=9, Resulting Numbers: [5, 9]
Generated Node #0,3,3: 21:[5, 9] Operation: 88-79=9
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 21:[5, 9], Operations: ['84-5=79', '88-79=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,21 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,21 unequal: No Solution
No 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: 21:[79, 83], Operations: ['84-5=79', '88-5=83']
Exploring Operation: 79+83=162, Resulting Numbers: [162]
162,21 unequal: No Solution
Exploring Operation: 79*83=6557, Resulting Numbers: [6557]
6557,21 unequal: No Solution
Exploring Operation: 83-79=4, Resulting Numbers: [4]
4,21 unequal: No Solution
No 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: 21:[88, 74], Operations: ['84-5=79', '79-5=74']
Exploring Operation: 88-74=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 88*74=6512, Resulting Numbers: [6512]
6512,21 unequal: No Solution
Exploring Operation: 88+74=162, Resulting Numbers: [162]
162,21 unequal: No Solution
No 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: 21:[79, 93], Operations: ['84-5=79', '5+88=93']
Exploring Operation: 93-79=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Exploring Operation: 79*93=7347, Resulting Numbers: [7347]
7347,21 unequal: No Solution
Exploring Operation: 79+93=172, Resulting Numbers: [172]
172,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
25,
97,
78,
90
] | 84 |
[
"97-25=72",
"90-78=12",
"72+12=84"
] |
Current State: 84:[25, 97, 78, 90], Operations: []
Exploring Operation: 97-25=72, Resulting Numbers: [78, 90, 72]
Generated Node #2: [78, 90, 72] from Operation: 97-25=72
Current State: 84:[78, 90, 72], Operations: ['97-25=72']
Exploring Operation: 90-78=12, Resulting Numbers: [72, 12]
Generated Node #3: [72, 12] from Operation: 90-78=12
Current State: 84:[72, 12], Operations: ['97-25=72', '90-78=12']
Exploring Operation: 72+12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[25, 97, 78, 90], Operations: []
Exploring Operation: 97-90=7, Resulting Numbers: [25, 78, 7]
Generated Node #0,0: 84:[25, 78, 7] Operation: 97-90=7
Exploring Operation: 97-78=19, Resulting Numbers: [25, 90, 19]
Generated Node #0,1: 84:[25, 90, 19] Operation: 97-78=19
Exploring Operation: 90-78=12, Resulting Numbers: [25, 97, 12]
Generated Node #0,2: 84:[25, 97, 12] Operation: 90-78=12
Exploring Operation: 97-25=72, Resulting Numbers: [78, 90, 72]
Generated Node #0,3: 84:[78, 90, 72] Operation: 97-25=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[25, 78, 7], Operations: ['97-90=7']
Exploring Operation: 25+7=32, Resulting Numbers: [78, 32]
Generated Node #0,0,0: 84:[78, 32] Operation: 25+7=32
Exploring Operation: 25-7=18, Resulting Numbers: [78, 18]
Generated Node #0,0,1: 84:[78, 18] Operation: 25-7=18
Exploring Operation: 78+7=85, Resulting Numbers: [25, 85]
Generated Node #0,0,2: 84:[25, 85] Operation: 78+7=85
Exploring Operation: 78-25=53, Resulting Numbers: [7, 53]
Generated Node #0,0,3: 84:[7, 53] Operation: 78-25=53
Moving to Node #0,0,2
Current State: 84:[25, 85], Operations: ['97-90=7', '78+7=85']
Exploring Operation: 25+85=110, Resulting Numbers: [110]
110,84 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,84 unequal: No Solution
Exploring Operation: 25*85=2125, Resulting Numbers: [2125]
2125,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[78, 18], Operations: ['97-90=7', '25-7=18']
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,84 unequal: No Solution
Exploring Operation: 78*18=1404, Resulting Numbers: [1404]
1404,84 unequal: No Solution
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[78, 32], Operations: ['97-90=7', '25+7=32']
Exploring Operation: 78+32=110, Resulting Numbers: [110]
110,84 unequal: No Solution
Exploring Operation: 78*32=2496, Resulting Numbers: [2496]
2496,84 unequal: No Solution
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[7, 53], Operations: ['97-90=7', '78-25=53']
Exploring Operation: 7*53=371, Resulting Numbers: [371]
371,84 unequal: No Solution
Exploring Operation: 7+53=60, Resulting Numbers: [60]
60,84 unequal: No Solution
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,84 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 #0,1
Current State: 84:[25, 90, 19], Operations: ['97-78=19']
Exploring Operation: 25-19=6, Resulting Numbers: [90, 6]
Generated Node #0,1,0: 84:[90, 6] Operation: 25-19=6
Exploring Operation: 25+19=44, Resulting Numbers: [90, 44]
Generated Node #0,1,1: 84:[90, 44] Operation: 25+19=44
Exploring Operation: 90-19=71, Resulting Numbers: [25, 71]
Generated Node #0,1,2: 84:[25, 71] Operation: 90-19=71
Exploring Operation: 90-25=65, Resulting Numbers: [19, 65]
Generated Node #0,1,3: 84:[19, 65] Operation: 90-25=65
Moving to Node #0,1,0
Current State: 84:[90, 6], Operations: ['97-78=19', '25-19=6']
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,84 unequal: No Solution
Exploring Operation: 90*6=540, Resulting Numbers: [540]
540,84 unequal: No Solution
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[25, 97, 78, 90], Operations: []
Exploring Operation: 97-78=19, Resulting Numbers: [25, 90, 19]
Generated Node #0,1: 84:[25, 90, 19] Operation: 97-78=19
Moving to Node #0,1
Current State: 84:[25, 90, 19], Operations: ['97-78=19']
Exploring Operation: 25-19=6, Resulting Numbers: [90, 6]
Generated Node #0,1,0: 84:[90, 6] Operation: 25-19=6
Moving to Node #0,1,0
Current State: 84:[90, 6], Operations: ['97-78=19', '25-19=6']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 |
hs_4
|
mult_heuristic
|
[
35,
12,
20,
18
] | 11 |
[
"20-18=2",
"12*2=24",
"35-24=11"
] |
Current State: 11:[35, 12, 20, 18], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [35, 12, 2]
Generated Node #2: [35, 12, 2] from Operation: 20-18=2
Current State: 11:[35, 12, 2], Operations: ['20-18=2']
Exploring Operation: 12*2=24, Resulting Numbers: [35, 24]
Generated Node #3: [35, 24] from Operation: 12*2=24
Current State: 11:[35, 24], Operations: ['20-18=2', '12*2=24']
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[35, 12, 20, 18], Operations: []
Exploring Operation: 35-12=23, Resulting Numbers: [20, 18, 23]
Generated Node #0,0: 11:[20, 18, 23] Operation: 35-12=23
Exploring Operation: 35-18=17, Resulting Numbers: [12, 20, 17]
Generated Node #0,1: 11:[12, 20, 17] Operation: 35-18=17
Exploring Operation: 35-20=15, Resulting Numbers: [12, 18, 15]
Generated Node #0,2: 11:[12, 18, 15] Operation: 35-20=15
Exploring Operation: 20-12=8, Resulting Numbers: [35, 18, 8]
Generated Node #0,3: 11:[35, 18, 8] Operation: 20-12=8
Exploring Operation: 20-18=2, Resulting Numbers: [35, 12, 2]
Generated Node #0,4: 11:[35, 12, 2] Operation: 20-18=2
Moving to Node #0,2
Current State: 11:[12, 18, 15], Operations: ['35-20=15']
Exploring Operation: 18-12=6, Resulting Numbers: [15, 6]
Generated Node #0,2,0: 11:[15, 6] Operation: 18-12=6
Exploring Operation: 15-12=3, Resulting Numbers: [18, 3]
Generated Node #0,2,1: 11:[18, 3] Operation: 15-12=3
Exploring Operation: 12+18=30, Resulting Numbers: [15, 30]
Generated Node #0,2,2: 11:[15, 30] Operation: 12+18=30
Exploring Operation: 12+15=27, Resulting Numbers: [18, 27]
Generated Node #0,2,3: 11:[18, 27] Operation: 12+15=27
Exploring Operation: 18-15=3, Resulting Numbers: [12, 3]
Generated Node #0,2,4: 11:[12, 3] Operation: 18-15=3
Moving to Node #0,1
Current State: 11:[12, 20, 17], Operations: ['35-18=17']
Exploring Operation: 17-12=5, Resulting Numbers: [20, 5]
Generated Node #0,1,0: 11:[20, 5] Operation: 17-12=5
Exploring Operation: 12+17=29, Resulting Numbers: [20, 29]
Generated Node #0,1,1: 11:[20, 29] Operation: 12+17=29
Exploring Operation: 20-12=8, Resulting Numbers: [17, 8]
Generated Node #0,1,2: 11:[17, 8] Operation: 20-12=8
Exploring Operation: 20-17=3, Resulting Numbers: [12, 3]
Generated Node #0,1,3: 11:[12, 3] Operation: 20-17=3
Exploring Operation: 12+20=32, Resulting Numbers: [17, 32]
Generated Node #0,1,4: 11:[17, 32] Operation: 12+20=32
Moving to Node #0,0
Current State: 11:[20, 18, 23], Operations: ['35-12=23']
Exploring Operation: 20+18=38, Resulting Numbers: [23, 38]
Generated Node #0,0,0: 11:[23, 38] Operation: 20+18=38
Exploring Operation: 20+23=43, Resulting Numbers: [18, 43]
Generated Node #0,0,1: 11:[18, 43] Operation: 20+23=43
Exploring Operation: 20-18=2, Resulting Numbers: [23, 2]
Generated Node #0,0,2: 11:[23, 2] Operation: 20-18=2
Exploring Operation: 23-18=5, Resulting Numbers: [20, 5]
Generated Node #0,0,3: 11:[20, 5] Operation: 23-18=5
Exploring Operation: 23-20=3, Resulting Numbers: [18, 3]
Generated Node #0,0,4: 11:[18, 3] Operation: 23-20=3
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[20, 5], Operations: ['35-12=23', '23-18=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 11:[18, 3], Operations: ['35-12=23', '23-20=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,11 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[23, 2], Operations: ['35-12=23', '20-18=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[23, 38], Operations: ['35-12=23', '20+18=38']
Exploring Operation: 23*38=874, Resulting Numbers: [874]
874,11 unequal: No Solution
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,11 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[18, 43], Operations: ['35-12=23', '20+23=43']
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 18*43=774, Resulting Numbers: [774]
774,11 unequal: No Solution
Exploring Operation: 18+43=61, Resulting Numbers: [61]
61,11 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: 11:[35, 18, 8], Operations: ['20-12=8']
Exploring Operation: 35-8=27, Resulting Numbers: [18, 27]
Generated Node #0,3,0: 11:[18, 27] Operation: 35-8=27
Exploring Operation: 18-8=10, Resulting Numbers: [35, 10]
Generated Node #0,3,1: 11:[35, 10] Operation: 18-8=10
Exploring Operation: 35+8=43, Resulting Numbers: [18, 43]
Generated Node #0,3,2: 11:[18, 43] Operation: 35+8=43
Exploring Operation: 35-18=17, Resulting Numbers: [8, 17]
Generated Node #0,3,3: 11:[8, 17] Operation: 35-18=17
Exploring Operation: 18+8=26, Resulting Numbers: [35, 26]
Generated Node #0,3,4: 11:[35, 26] Operation: 18+8=26
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[8, 17], Operations: ['20-12=8', '35-18=17']
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,11 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[18, 27], Operations: ['20-12=8', '35-8=27']
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 18*27=486, Resulting Numbers: [486]
486,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[35, 10], Operations: ['20-12=8', '18-8=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[18, 43], Operations: ['20-12=8', '35+8=43']
Exploring Operation: 18+43=61, Resulting Numbers: [61]
61,11 unequal: No Solution
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 18*43=774, Resulting Numbers: [774]
774,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 11:[35, 26], Operations: ['20-12=8', '18+8=26']
Exploring Operation: 35*26=910, Resulting Numbers: [910]
910,11 unequal: No Solution
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,11 unequal: No Solution
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,11 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: 11:[35, 12, 2], Operations: ['20-18=2']
Exploring Operation: 35+2=37, Resulting Numbers: [12, 37]
Generated Node #0,4,0: 11:[12, 37] Operation: 35+2=37
Exploring Operation: 12+2=14, Resulting Numbers: [35, 14]
Generated Node #0,4,1: 11:[35, 14] Operation: 12+2=14
Exploring Operation: 35-2=33, Resulting Numbers: [12, 33]
Generated Node #0,4,2: 11:[12, 33] Operation: 35-2=33
Exploring Operation: 12-2=10, Resulting Numbers: [35, 10]
Generated Node #0,4,3: 11:[35, 10] Operation: 12-2=10
Exploring Operation: 35-12=23, Resulting Numbers: [2, 23]
Generated Node #0,4,4: 11:[2, 23] Operation: 35-12=23
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 11:[2, 23], Operations: ['20-18=2', '35-12=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 11:[12, 33], Operations: ['20-18=2', '35-2=33']
Exploring Operation: 12*33=396, Resulting Numbers: [396]
396,11 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 11:[35, 10], Operations: ['20-18=2', '12-2=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,11 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 11:[12, 37], Operations: ['20-18=2', '35+2=37']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 12*37=444, Resulting Numbers: [444]
444,11 unequal: No Solution
Exploring Operation: 12+37=49, Resulting Numbers: [49]
49,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 11:[35, 14], Operations: ['20-18=2', '12+2=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 35*14=490, Resulting Numbers: [490]
490,11 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,11 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: 11:[15, 6], Operations: ['35-20=15', '18-12=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[17, 8], Operations: ['35-18=17', '20-12=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,11 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[12, 3], Operations: ['35-18=17', '20-17=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Moving to Node #0,2,4
Current State: 11:[12, 3], Operations: ['35-20=15', '18-15=3']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[18, 3], Operations: ['35-20=15', '15-12=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,11 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[20, 5], Operations: ['35-18=17', '17-12=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[18, 27], Operations: ['35-20=15', '12+15=27']
Exploring Operation: 18*27=486, Resulting Numbers: [486]
486,11 unequal: No Solution
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[15, 30], Operations: ['35-20=15', '12+18=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,11 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Moving to Node #0,1,4
Current State: 11:[17, 32], Operations: ['35-18=17', '12+20=32']
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,11 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[20, 29], Operations: ['35-18=17', '12+17=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,11 unequal: No Solution
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,11 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,11 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
56,
21,
61,
2
] | 63 |
[
"61-56=5",
"5-2=3",
"21*3=63"
] |
Current State: 63:[56, 21, 61, 2], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [21, 2, 5]
Generated Node #2: [21, 2, 5] from Operation: 61-56=5
Current State: 63:[21, 2, 5], Operations: ['61-56=5']
Exploring Operation: 5-2=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 5-2=3
Current State: 63:[21, 3], Operations: ['61-56=5', '5-2=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[56, 21, 61, 2], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [21, 2, 5]
Generated Node #0,0: 63:[21, 2, 5] Operation: 61-56=5
Exploring Operation: 56+2=58, Resulting Numbers: [21, 61, 58]
Generated Node #0,1: 63:[21, 61, 58] Operation: 56+2=58
Moving to Node #0,0
Current State: 63:[21, 2, 5], Operations: ['61-56=5']
Exploring Operation: 2+5=7, Resulting Numbers: [21, 7]
Generated Node #0,0,0: 63:[21, 7] Operation: 2+5=7
Exploring Operation: 5-2=3, Resulting Numbers: [21, 3]
Generated Node #0,0,1: 63:[21, 3] Operation: 5-2=3
Moving to Node #0,1
Current State: 63:[21, 61, 58], Operations: ['56+2=58']
Exploring Operation: 21+58=79, Resulting Numbers: [61, 79]
Generated Node #0,1,0: 63:[61, 79] Operation: 21+58=79
Exploring Operation: 61-58=3, Resulting Numbers: [21, 3]
Generated Node #0,1,1: 63:[21, 3] Operation: 61-58=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[21, 3], Operations: ['56+2=58', '61-58=3']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[56, 21, 61, 2], Operations: []
Exploring Operation: 56+2=58, Resulting Numbers: [21, 61, 58]
Generated Node #0,1: 63:[21, 61, 58] Operation: 56+2=58
Moving to Node #0,1
Current State: 63:[21, 61, 58], Operations: ['56+2=58']
Exploring Operation: 61-58=3, Resulting Numbers: [21, 3]
Generated Node #0,1,1: 63:[21, 3] Operation: 61-58=3
Moving to Node #0,1,1
Current State: 63:[21, 3], Operations: ['56+2=58', '61-58=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_2
|
mult_heuristic
|
[
56,
69,
55,
58
] | 11 |
[
"56-55=1",
"69-58=11",
"1*11=11"
] |
Current State: 11:[56, 69, 55, 58], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [69, 58, 1]
Generated Node #2: [69, 58, 1] from Operation: 56-55=1
Current State: 11:[69, 58, 1], Operations: ['56-55=1']
Exploring Operation: 69-58=11, Resulting Numbers: [1, 11]
Generated Node #3: [1, 11] from Operation: 69-58=11
Current State: 11:[1, 11], Operations: ['56-55=1', '69-58=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[56, 69, 55, 58], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [56, 55, 11]
Generated Node #0,0: 11:[56, 55, 11] Operation: 69-58=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[56, 55, 11], Operations: ['69-58=11']
Exploring Operation: 56-55=1, Resulting Numbers: [11, 1]
Generated Node #0,0,0: 11:[11, 1] Operation: 56-55=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[11, 1], Operations: ['69-58=11', '56-55=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[56, 69, 55, 58], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [56, 55, 11]
Generated Node #0,0: 11:[56, 55, 11] Operation: 69-58=11
Moving to Node #0,0
Current State: 11:[56, 55, 11], Operations: ['69-58=11']
Exploring Operation: 56-55=1, Resulting Numbers: [11, 1]
Generated Node #0,0,0: 11:[11, 1] Operation: 56-55=1
Moving to Node #0,0,0
Current State: 11:[11, 1], Operations: ['69-58=11', '56-55=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
28,
13,
32,
59
] | 35 |
[
"32+59=91",
"91/13=7",
"28+7=35"
] |
Current State: 35:[28, 13, 32, 59], Operations: []
Exploring Operation: 32+59=91, Resulting Numbers: [28, 13, 91]
Generated Node #2: [28, 13, 91] from Operation: 32+59=91
Current State: 35:[28, 13, 91], Operations: ['32+59=91']
Exploring Operation: 91/13=7, Resulting Numbers: [28, 7]
Generated Node #3: [28, 7] from Operation: 91/13=7
Current State: 35:[28, 7], Operations: ['32+59=91', '91/13=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[28, 13, 32, 59], Operations: []
Exploring Operation: 59-32=27, Resulting Numbers: [28, 13, 27]
Generated Node #0,0: 35:[28, 13, 27] Operation: 59-32=27
Exploring Operation: 59-28=31, Resulting Numbers: [13, 32, 31]
Generated Node #0,1: 35:[13, 32, 31] Operation: 59-28=31
Exploring Operation: 59-13=46, Resulting Numbers: [28, 32, 46]
Generated Node #0,2: 35:[28, 32, 46] Operation: 59-13=46
Exploring Operation: 32-28=4, Resulting Numbers: [13, 59, 4]
Generated Node #0,3: 35:[13, 59, 4] Operation: 32-28=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[13, 32, 31], Operations: ['59-28=31']
Exploring Operation: 32-31=1, Resulting Numbers: [13, 1]
Generated Node #0,1,0: 35:[13, 1] Operation: 32-31=1
Exploring Operation: 13+32=45, Resulting Numbers: [31, 45]
Generated Node #0,1,1: 35:[31, 45] Operation: 13+32=45
Exploring Operation: 31-13=18, Resulting Numbers: [32, 18]
Generated Node #0,1,2: 35:[32, 18] Operation: 31-13=18
Exploring Operation: 13+31=44, Resulting Numbers: [32, 44]
Generated Node #0,1,3: 35:[32, 44] Operation: 13+31=44
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[13, 1], Operations: ['59-28=31', '32-31=1']
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 35:[32, 44], Operations: ['59-28=31', '13+31=44']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,35 unequal: No Solution
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[31, 45], Operations: ['59-28=31', '13+32=45']
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,35 unequal: No Solution
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 35:[32, 18], Operations: ['59-28=31', '31-13=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[28, 13, 27], Operations: ['59-32=27']
Exploring Operation: 28+13=41, Resulting Numbers: [27, 41]
Generated Node #0,0,0: 35:[27, 41] Operation: 28+13=41
Exploring Operation: 28-27=1, Resulting Numbers: [13, 1]
Generated Node #0,0,1: 35:[13, 1] Operation: 28-27=1
Exploring Operation: 27-13=14, Resulting Numbers: [28, 14]
Generated Node #0,0,2: 35:[28, 14] Operation: 27-13=14
Exploring Operation: 13+27=40, Resulting Numbers: [28, 40]
Generated Node #0,0,3: 35:[28, 40] Operation: 13+27=40
Moving to Node #0,0,1
Current State: 35:[13, 1], Operations: ['59-32=27', '28-27=1']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[28, 40], Operations: ['59-32=27', '13+27=40']
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,35 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[28, 14], Operations: ['59-32=27', '27-13=14']
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,35 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[27, 41], Operations: ['59-32=27', '28+13=41']
Exploring Operation: 27*41=1107, Resulting Numbers: [1107]
1107,35 unequal: No Solution
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[28, 32, 46], Operations: ['59-13=46']
Exploring Operation: 46-28=18, Resulting Numbers: [32, 18]
Generated Node #0,2,0: 35:[32, 18] Operation: 46-28=18
Exploring Operation: 46-32=14, Resulting Numbers: [28, 14]
Generated Node #0,2,1: 35:[28, 14] Operation: 46-32=14
Exploring Operation: 28+32=60, Resulting Numbers: [46, 60]
Generated Node #0,2,2: 35:[46, 60] Operation: 28+32=60
Exploring Operation: 32-28=4, Resulting Numbers: [46, 4]
Generated Node #0,2,3: 35:[46, 4] Operation: 32-28=4
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 35:[46, 4], Operations: ['59-13=46', '32-28=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,35 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 35:[32, 18], Operations: ['59-13=46', '46-28=18']
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,35 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 35:[28, 14], Operations: ['59-13=46', '46-32=14']
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 35:[46, 60], Operations: ['59-13=46', '28+32=60']
Exploring Operation: 46+60=106, Resulting Numbers: [106]
106,35 unequal: No Solution
Exploring Operation: 46*60=2760, Resulting Numbers: [2760]
2760,35 unequal: No Solution
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[13, 59, 4], Operations: ['32-28=4']
Exploring Operation: 13+4=17, Resulting Numbers: [59, 17]
Generated Node #0,3,0: 35:[59, 17] Operation: 13+4=17
Exploring Operation: 59-13=46, Resulting Numbers: [4, 46]
Generated Node #0,3,1: 35:[4, 46] Operation: 59-13=46
Exploring Operation: 59-4=55, Resulting Numbers: [13, 55]
Generated Node #0,3,2: 35:[13, 55] Operation: 59-4=55
Exploring Operation: 13-4=9, Resulting Numbers: [59, 9]
Generated Node #0,3,3: 35:[59, 9] Operation: 13-4=9
Moving to Node #0,3,1
Current State: 35:[4, 46], Operations: ['32-28=4', '59-13=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,35 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,3,3
Current State: 35:[59, 9], Operations: ['32-28=4', '13-4=9']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 59*9=531, Resulting Numbers: [531]
531,35 unequal: No Solution
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Moving to Node #0,3,2
Current State: 35:[13, 55], Operations: ['32-28=4', '59-4=55']
Exploring Operation: 13*55=715, Resulting Numbers: [715]
715,35 unequal: No Solution
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 13+55=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Moving to Node #0,3,0
Current State: 35:[59, 17], Operations: ['32-28=4', '13+4=17']
Exploring Operation: 59+17=76, Resulting Numbers: [76]
76,35 unequal: No Solution
Exploring Operation: 59*17=1003, Resulting Numbers: [1003]
1003,35 unequal: No Solution
Exploring Operation: 59-17=42, Resulting Numbers: [42]
42,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
45,
59,
80,
70
] | 75 |
[
"59-45=14",
"70/14=5",
"80-5=75"
] |
Current State: 75:[45, 59, 80, 70], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [80, 70, 14]
Generated Node #2: [80, 70, 14] from Operation: 59-45=14
Current State: 75:[80, 70, 14], Operations: ['59-45=14']
Exploring Operation: 70/14=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 70/14=5
Current State: 75:[80, 5], Operations: ['59-45=14', '70/14=5']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[45, 59, 80, 70], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [80, 70, 14]
Generated Node #0,0: 75:[80, 70, 14] Operation: 59-45=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[80, 70, 14], Operations: ['59-45=14']
Exploring Operation: 70/14=5, Resulting Numbers: [80, 5]
Generated Node #0,0,0: 75:[80, 5] Operation: 70/14=5
Moving to Node #0,0,0
Current State: 75:[80, 5], Operations: ['59-45=14', '70/14=5']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[45, 59, 80, 70], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [80, 70, 14]
Generated Node #0,0: 75:[80, 70, 14] Operation: 59-45=14
Moving to Node #0,0
Current State: 75:[80, 70, 14], Operations: ['59-45=14']
Exploring Operation: 70/14=5, Resulting Numbers: [80, 5]
Generated Node #0,0,0: 75:[80, 5] Operation: 70/14=5
Moving to Node #0,0,0
Current State: 75:[80, 5], Operations: ['59-45=14', '70/14=5']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
15,
10,
3,
29
] | 39 |
[
"29-3=26",
"15*26=390",
"390/10=39"
] |
Current State: 39:[15, 10, 3, 29], Operations: []
Exploring Operation: 29-3=26, Resulting Numbers: [15, 10, 26]
Generated Node #2: [15, 10, 26] from Operation: 29-3=26
Current State: 39:[15, 10, 26], Operations: ['29-3=26']
Exploring Operation: 15*26=390, Resulting Numbers: [10, 390]
Generated Node #3: [10, 390] from Operation: 15*26=390
Current State: 39:[10, 390], Operations: ['29-3=26', '15*26=390']
Exploring Operation: 390/10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[15, 10, 3, 29], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [3, 29, 5]
Generated Node #0,0: 39:[3, 29, 5] Operation: 15-10=5
Exploring Operation: 10+29=39, Resulting Numbers: [15, 3, 39]
Generated Node #0,1: 39:[15, 3, 39] Operation: 10+29=39
Exploring Operation: 29-15=14, Resulting Numbers: [10, 3, 14]
Generated Node #0,2: 39:[10, 3, 14] Operation: 29-15=14
Exploring Operation: 15+29=44, Resulting Numbers: [10, 3, 44]
Generated Node #0,3: 39:[10, 3, 44] Operation: 15+29=44
Exploring Operation: 29-10=19, Resulting Numbers: [15, 3, 19]
Generated Node #0,4: 39:[15, 3, 19] Operation: 29-10=19
Moving to Node #0,1
Current State: 39:[15, 3, 39], Operations: ['10+29=39']
Exploring Operation: 39/3=13, Resulting Numbers: [15, 13]
Generated Node #0,1,0: 39:[15, 13] Operation: 39/3=13
Exploring Operation: 15-3=12, Resulting Numbers: [39, 12]
Generated Node #0,1,1: 39:[39, 12] Operation: 15-3=12
Exploring Operation: 15+3=18, Resulting Numbers: [39, 18]
Generated Node #0,1,2: 39:[39, 18] Operation: 15+3=18
Exploring Operation: 15/3=5, Resulting Numbers: [39, 5]
Generated Node #0,1,3: 39:[39, 5] Operation: 15/3=5
Exploring Operation: 3+39=42, Resulting Numbers: [15, 42]
Generated Node #0,1,4: 39:[15, 42] Operation: 3+39=42
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[39, 12], Operations: ['10+29=39', '15-3=12']
Exploring Operation: 39*12=468, Resulting Numbers: [468]
468,39 unequal: No Solution
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 39+12=51, Resulting Numbers: [51]
51,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[15, 13], Operations: ['10+29=39', '39/3=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 39:[39, 5], Operations: ['10+29=39', '15/3=5']
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,39 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 #0,1,2
Current State: 39:[39, 18], Operations: ['10+29=39', '15+3=18']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,39 unequal: No Solution
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,39 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 #0,1,4
Current State: 39:[15, 42], Operations: ['10+29=39', '3+39=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,39 unequal: No Solution
Exploring Operation: 15*42=630, Resulting Numbers: [630]
630,39 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 39:[10, 3, 14], Operations: ['29-15=14']
Exploring Operation: 14-10=4, Resulting Numbers: [3, 4]
Generated Node #0,2,0: 39:[3, 4] Operation: 14-10=4
Exploring Operation: 14-3=11, Resulting Numbers: [10, 11]
Generated Node #0,2,1: 39:[10, 11] Operation: 14-3=11
Exploring Operation: 3*14=42, Resulting Numbers: [10, 42]
Generated Node #0,2,2: 39:[10, 42] Operation: 3*14=42
Exploring Operation: 10-3=7, Resulting Numbers: [14, 7]
Generated Node #0,2,3: 39:[14, 7] Operation: 10-3=7
Exploring Operation: 10+3=13, Resulting Numbers: [14, 13]
Generated Node #0,2,4: 39:[14, 13] Operation: 10+3=13
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[3, 4], Operations: ['29-15=14', '14-10=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 39:[14, 13], Operations: ['29-15=14', '10+3=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[10, 11], Operations: ['29-15=14', '14-3=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,39 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 39:[14, 7], Operations: ['29-15=14', '10-3=7']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,39 unequal: No Solution
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[10, 42], Operations: ['29-15=14', '3*14=42']
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,39 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 39:[10, 3, 44], Operations: ['15+29=44']
Exploring Operation: 10+3=13, Resulting Numbers: [44, 13]
Generated Node #0,3,0: 39:[44, 13] Operation: 10+3=13
Exploring Operation: 44-3=41, Resulting Numbers: [10, 41]
Generated Node #0,3,1: 39:[10, 41] Operation: 44-3=41
Exploring Operation: 10-3=7, Resulting Numbers: [44, 7]
Generated Node #0,3,2: 39:[44, 7] Operation: 10-3=7
Exploring Operation: 44-10=34, Resulting Numbers: [3, 34]
Generated Node #0,3,3: 39:[3, 34] Operation: 44-10=34
Exploring Operation: 3+44=47, Resulting Numbers: [10, 47]
Generated Node #0,3,4: 39:[10, 47] Operation: 3+44=47
Moving to Node #0,4
Current State: 39:[15, 3, 19], Operations: ['29-10=19']
Exploring Operation: 15-3=12, Resulting Numbers: [19, 12]
Generated Node #0,4,0: 39:[19, 12] Operation: 15-3=12
Exploring Operation: 19-3=16, Resulting Numbers: [15, 16]
Generated Node #0,4,1: 39:[15, 16] Operation: 19-3=16
Exploring Operation: 15/3=5, Resulting Numbers: [19, 5]
Generated Node #0,4,2: 39:[19, 5] Operation: 15/3=5
Exploring Operation: 15+19=34, Resulting Numbers: [3, 34]
Generated Node #0,4,3: 39:[3, 34] Operation: 15+19=34
Exploring Operation: 19-15=4, Resulting Numbers: [3, 4]
Generated Node #0,4,4: 39:[3, 4] Operation: 19-15=4
Moving to Node #0,0
Current State: 39:[3, 29, 5], Operations: ['15-10=5']
Exploring Operation: 29+5=34, Resulting Numbers: [3, 34]
Generated Node #0,0,0: 39:[3, 34] Operation: 29+5=34
Exploring Operation: 29-5=24, Resulting Numbers: [3, 24]
Generated Node #0,0,1: 39:[3, 24] Operation: 29-5=24
Exploring Operation: 3+29=32, Resulting Numbers: [5, 32]
Generated Node #0,0,2: 39:[5, 32] Operation: 3+29=32
Exploring Operation: 5-3=2, Resulting Numbers: [29, 2]
Generated Node #0,0,3: 39:[29, 2] Operation: 5-3=2
Exploring Operation: 3*5=15, Resulting Numbers: [29, 15]
Generated Node #0,0,4: 39:[29, 15] Operation: 3*5=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[3, 34], Operations: ['15-10=5', '29+5=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 39:[5, 32], Operations: ['15-10=5', '3+29=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[3, 24], Operations: ['15-10=5', '29-5=24']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 39:[29, 2], Operations: ['15-10=5', '5-3=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 39:[29, 15], Operations: ['15-10=5', '3*5=15']
Exploring Operation: 29*15=435, Resulting Numbers: [435]
435,39 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 29+15=44, Resulting Numbers: [44]
44,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,4
Current State: 39:[3, 4], Operations: ['29-10=19', '19-15=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Moving to Node #0,3,0
Current State: 39:[44, 13], Operations: ['15+29=44', '10+3=13']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 44*13=572, Resulting Numbers: [572]
572,39 unequal: No Solution
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,39 unequal: No Solution
Moving to Node #0,4,1
Current State: 39:[15, 16], Operations: ['29-10=19', '19-3=16']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[3, 34], Operations: ['15+29=44', '44-10=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Moving to Node #0,3,1
Current State: 39:[10, 41], Operations: ['15+29=44', '44-3=41']
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 10*41=410, Resulting Numbers: [410]
410,39 unequal: No Solution
Moving to Node #0,4,3
Current State: 39:[3, 34], Operations: ['29-10=19', '15+19=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Moving to Node #0,4,0
Current State: 39:[19, 12], Operations: ['29-10=19', '15-3=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,39 unequal: No Solution
Moving to Node #0,4,2
Current State: 39:[19, 5], Operations: ['29-10=19', '15/3=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,39 unequal: No Solution
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[44, 7], Operations: ['15+29=44', '10-3=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,39 unequal: No Solution
Moving to Node #0,3,4
Current State: 39:[10, 47], Operations: ['15+29=44', '3+44=47']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 10*47=470, Resulting Numbers: [470]
470,39 unequal: No Solution
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,39 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
38,
25,
43,
16
] | 21 |
[
"43-38=5",
"25/5=5",
"16+5=21"
] |
Current State: 21:[38, 25, 43, 16], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [25, 16, 5]
Generated Node #2: [25, 16, 5] from Operation: 43-38=5
Current State: 21:[25, 16, 5], Operations: ['43-38=5']
Exploring Operation: 25/5=5, Resulting Numbers: [16, 5]
Generated Node #3: [16, 5] from Operation: 25/5=5
Current State: 21:[16, 5], Operations: ['43-38=5', '25/5=5']
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
Current State: 21:[38, 25, 43, 16], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [25, 16, 5]
Generated Node #0,0: 21:[25, 16, 5] Operation: 43-38=5
Exploring Operation: 43-25=18, Resulting Numbers: [38, 16, 18]
Generated Node #0,1: 21:[38, 16, 18] Operation: 43-25=18
Moving to Node #0,0
Current State: 21:[25, 16, 5], Operations: ['43-38=5']
Exploring Operation: 25-16=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 21:[5, 9] Operation: 25-16=9
Exploring Operation: 16+5=21, Resulting Numbers: [25, 21]
Generated Node #0,0,1: 21:[25, 21] Operation: 16+5=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[5, 9], Operations: ['43-38=5', '25-16=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,21 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 #0,0,1
Current State: 21:[25, 21], Operations: ['43-38=5', '16+5=21']
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,21 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,21 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:[38, 16, 18], Operations: ['43-25=18']
Exploring Operation: 38-18=20, Resulting Numbers: [16, 20]
Generated Node #0,1,0: 21:[16, 20] Operation: 38-18=20
Exploring Operation: 38-16=22, Resulting Numbers: [18, 22]
Generated Node #0,1,1: 21:[18, 22] Operation: 38-16=22
Moving to Node #0,1,1
Current State: 21:[18, 22], Operations: ['43-25=18', '38-16=22']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[16, 20], Operations: ['43-25=18', '38-18=20']
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,21 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
66,
3,
82,
11
] | 85 |
[
"66/11=6",
"82-3=79",
"6+79=85"
] |
Current State: 85:[66, 3, 82, 11], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [3, 82, 6]
Generated Node #2: [3, 82, 6] from Operation: 66/11=6
Current State: 85:[3, 82, 6], Operations: ['66/11=6']
Exploring Operation: 82-3=79, Resulting Numbers: [6, 79]
Generated Node #3: [6, 79] from Operation: 82-3=79
Current State: 85:[6, 79], Operations: ['66/11=6', '82-3=79']
Exploring Operation: 6+79=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
Current State: 85:[66, 3, 82, 11], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [3, 82, 6]
Generated Node #0,0: 85:[3, 82, 6] Operation: 66/11=6
Moving to Node #0,0
Current State: 85:[3, 82, 6], Operations: ['66/11=6']
Exploring Operation: 3+82=85, Resulting Numbers: [6, 85]
Generated Node #0,0,0: 85:[6, 85] Operation: 3+82=85
Moving to Node #0,0,0
Current State: 85:[6, 85], Operations: ['66/11=6', '3+82=85']
Exploring Operation: 6+85=91, Resulting Numbers: [91]
91,85 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
5,
90,
6,
81
] | 93 |
[
"90/5=18",
"81-6=75",
"18+75=93"
] |
Current State: 93:[5, 90, 6, 81], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [6, 81, 18]
Generated Node #2: [6, 81, 18] from Operation: 90/5=18
Current State: 93:[6, 81, 18], Operations: ['90/5=18']
Exploring Operation: 81-6=75, Resulting Numbers: [18, 75]
Generated Node #3: [18, 75] from Operation: 81-6=75
Current State: 93:[18, 75], Operations: ['90/5=18', '81-6=75']
Exploring Operation: 18+75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[5, 90, 6, 81], Operations: []
Exploring Operation: 6+81=87, Resulting Numbers: [5, 90, 87]
Generated Node #0,0: 93:[5, 90, 87] Operation: 6+81=87
Exploring Operation: 90-81=9, Resulting Numbers: [5, 6, 9]
Generated Node #0,1: 93:[5, 6, 9] Operation: 90-81=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[5, 90, 87], Operations: ['6+81=87']
Exploring Operation: 5+87=92, Resulting Numbers: [90, 92]
Generated Node #0,0,0: 93:[90, 92] Operation: 5+87=92
Exploring Operation: 90-87=3, Resulting Numbers: [5, 3]
Generated Node #0,0,1: 93:[5, 3] Operation: 90-87=3
Moving to Node #0,0,1
Current State: 93:[5, 3], Operations: ['6+81=87', '90-87=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[90, 92], Operations: ['6+81=87', '5+87=92']
Exploring Operation: 92-90=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 90+92=182, Resulting Numbers: [182]
182,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[5, 6, 9], Operations: ['90-81=9']
Exploring Operation: 9-6=3, Resulting Numbers: [5, 3]
Generated Node #0,1,0: 93:[5, 3] Operation: 9-6=3
Exploring Operation: 9-5=4, Resulting Numbers: [6, 4]
Generated Node #0,1,1: 93:[6, 4] Operation: 9-5=4
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[5, 3], Operations: ['90-81=9', '9-6=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[6, 4], Operations: ['90-81=9', '9-5=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
56,
8,
28,
6
] | 15 |
[
"56/8=7",
"28-6=22",
"22-7=15"
] |
Current State: 15:[56, 8, 28, 6], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [28, 6, 7]
Generated Node #2: [28, 6, 7] from Operation: 56/8=7
Current State: 15:[28, 6, 7], Operations: ['56/8=7']
Exploring Operation: 28-6=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 28-6=22
Current State: 15:[7, 22], Operations: ['56/8=7', '28-6=22']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
Current State: 15:[56, 8, 28, 6], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [28, 6, 7]
Generated Node #0,0: 15:[28, 6, 7] Operation: 56/8=7
Exploring Operation: 56/28=2, Resulting Numbers: [8, 6, 2]
Generated Node #0,1: 15:[8, 6, 2] Operation: 56/28=2
Exploring Operation: 56-8=48, Resulting Numbers: [28, 6, 48]
Generated Node #0,2: 15:[28, 6, 48] Operation: 56-8=48
Exploring Operation: 56-28=28, Resulting Numbers: [8, 6, 28]
Generated Node #0,3: 15:[8, 6, 28] Operation: 56-28=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[8, 6, 2], Operations: ['56/28=2']
Exploring Operation: 8-6=2, Resulting Numbers: [2, 2]
Generated Node #0,1,0: 15:[2, 2] Operation: 8-6=2
Exploring Operation: 8-2=6, Resulting Numbers: [6, 6]
Generated Node #0,1,1: 15:[6, 6] Operation: 8-2=6
Exploring Operation: 8*2=16, Resulting Numbers: [6, 16]
Generated Node #0,1,2: 15:[6, 16] Operation: 8*2=16
Exploring Operation: 8+6=14, Resulting Numbers: [2, 14]
Generated Node #0,1,3: 15:[2, 14] Operation: 8+6=14
Moving to Node #0,1,0
Current State: 15:[2, 2], Operations: ['56/28=2', '8-6=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[6, 16], Operations: ['56/28=2', '8*2=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,15 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[6, 6], Operations: ['56/28=2', '8-2=6']
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[2, 14], Operations: ['56/28=2', '8+6=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[28, 6, 7], Operations: ['56/8=7']
Exploring Operation: 6+7=13, Resulting Numbers: [28, 13]
Generated Node #0,0,0: 15:[28, 13] Operation: 6+7=13
Exploring Operation: 28-7=21, Resulting Numbers: [6, 21]
Generated Node #0,0,1: 15:[6, 21] Operation: 28-7=21
Exploring Operation: 28-6=22, Resulting Numbers: [7, 22]
Generated Node #0,0,2: 15:[7, 22] Operation: 28-6=22
Exploring Operation: 28/7=4, Resulting Numbers: [6, 4]
Generated Node #0,0,3: 15:[6, 4] Operation: 28/7=4
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 15:[6, 4], Operations: ['56/8=7', '28/7=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[6, 21], Operations: ['56/8=7', '28-7=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,15 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[56, 8, 28, 6], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [28, 6, 7]
Generated Node #0,0: 15:[28, 6, 7] Operation: 56/8=7
Moving to Node #0,0
Current State: 15:[28, 6, 7], Operations: ['56/8=7']
Exploring Operation: 28-7=21, Resulting Numbers: [6, 21]
Generated Node #0,0,1: 15:[6, 21] Operation: 28-7=21
Moving to Node #0,0,1
Current State: 15:[6, 21], Operations: ['56/8=7', '28-7=21']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 |
hs_4
|
mult_heuristic
|
[
66,
87,
2,
26
] | 31 |
[
"87-66=21",
"2*26=52",
"52-21=31"
] |
Current State: 31:[66, 87, 2, 26], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [2, 26, 21]
Generated Node #2: [2, 26, 21] from Operation: 87-66=21
Current State: 31:[2, 26, 21], Operations: ['87-66=21']
Exploring Operation: 2*26=52, Resulting Numbers: [21, 52]
Generated Node #3: [21, 52] from Operation: 2*26=52
Current State: 31:[21, 52], Operations: ['87-66=21', '2*26=52']
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
Current State: 31:[66, 87, 2, 26], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [2, 26, 21]
Generated Node #0,0: 31:[2, 26, 21] Operation: 87-66=21
Exploring Operation: 87-2=85, Resulting Numbers: [66, 26, 85]
Generated Node #0,1: 31:[66, 26, 85] Operation: 87-2=85
Exploring Operation: 66-26=40, Resulting Numbers: [87, 2, 40]
Generated Node #0,2: 31:[87, 2, 40] Operation: 66-26=40
Exploring Operation: 66-2=64, Resulting Numbers: [87, 26, 64]
Generated Node #0,3: 31:[87, 26, 64] Operation: 66-2=64
Exploring Operation: 66/2=33, Resulting Numbers: [87, 26, 33]
Generated Node #0,4: 31:[87, 26, 33] Operation: 66/2=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[2, 26, 21], Operations: ['87-66=21']
Exploring Operation: 21-2=19, Resulting Numbers: [26, 19]
Generated Node #0,0,0: 31:[26, 19] Operation: 21-2=19
Exploring Operation: 2+26=28, Resulting Numbers: [21, 28]
Generated Node #0,0,1: 31:[21, 28] Operation: 2+26=28
Exploring Operation: 2*21=42, Resulting Numbers: [26, 42]
Generated Node #0,0,2: 31:[26, 42] Operation: 2*21=42
Exploring Operation: 26-2=24, Resulting Numbers: [21, 24]
Generated Node #0,0,3: 31:[21, 24] Operation: 26-2=24
Exploring Operation: 2+21=23, Resulting Numbers: [26, 23]
Generated Node #0,0,4: 31:[26, 23] Operation: 2+21=23
Moving to Node #0,0,1
Current State: 31:[21, 28], Operations: ['87-66=21', '2+26=28']
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Exploring Operation: 21*28=588, Resulting Numbers: [588]
588,31 unequal: No Solution
Moving to Node #0,0,4
Current State: 31:[26, 23], Operations: ['87-66=21', '2+21=23']
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,31 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[26, 42], Operations: ['87-66=21', '2*21=42']
Exploring Operation: 26*42=1092, Resulting Numbers: [1092]
1092,31 unequal: No Solution
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Exploring Operation: 26+42=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[26, 19], Operations: ['87-66=21', '21-2=19']
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 26+19=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 26*19=494, Resulting Numbers: [494]
494,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[21, 24], Operations: ['87-66=21', '26-2=24']
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 21*24=504, Resulting Numbers: [504]
504,31 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 31:[87, 26, 33], Operations: ['66/2=33']
Exploring Operation: 33-26=7, Resulting Numbers: [87, 7]
Generated Node #0,4,0: 31:[87, 7] Operation: 33-26=7
Exploring Operation: 87+26=113, Resulting Numbers: [33, 113]
Generated Node #0,4,1: 31:[33, 113] Operation: 87+26=113
Exploring Operation: 26+33=59, Resulting Numbers: [87, 59]
Generated Node #0,4,2: 31:[87, 59] Operation: 26+33=59
Exploring Operation: 87-26=61, Resulting Numbers: [33, 61]
Generated Node #0,4,3: 31:[33, 61] Operation: 87-26=61
Exploring Operation: 87-33=54, Resulting Numbers: [26, 54]
Generated Node #0,4,4: 31:[26, 54] Operation: 87-33=54
Moving to Node #0,4,4
Current State: 31:[26, 54], Operations: ['66/2=33', '87-33=54']
Exploring Operation: 26*54=1404, Resulting Numbers: [1404]
1404,31 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 26+54=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Moving to Node #0,4,3
Current State: 31:[33, 61], Operations: ['66/2=33', '87-26=61']
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 33+61=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Exploring Operation: 33*61=2013, Resulting Numbers: [2013]
2013,31 unequal: No Solution
Moving to Node #0,4,0
Current State: 31:[87, 7], Operations: ['66/2=33', '33-26=7']
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Exploring Operation: 87*7=609, Resulting Numbers: [609]
609,31 unequal: No Solution
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Moving to Node #0,4,1
Current State: 31:[33, 113], Operations: ['66/2=33', '87+26=113']
Exploring Operation: 33+113=146, Resulting Numbers: [146]
146,31 unequal: No Solution
Exploring Operation: 113-33=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Exploring Operation: 33*113=3729, Resulting Numbers: [3729]
3729,31 unequal: No Solution
Moving to Node #0,4,2
Current State: 31:[87, 59], Operations: ['66/2=33', '26+33=59']
Exploring Operation: 87+59=146, Resulting Numbers: [146]
146,31 unequal: No Solution
Exploring Operation: 87*59=5133, Resulting Numbers: [5133]
5133,31 unequal: No Solution
Exploring Operation: 87-59=28, Resulting Numbers: [28]
28,31 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
Current State: 31:[66, 26, 85], Operations: ['87-2=85']
Exploring Operation: 66+26=92, Resulting Numbers: [85, 92]
Generated Node #0,1,0: 31:[85, 92] Operation: 66+26=92
Exploring Operation: 26+85=111, Resulting Numbers: [66, 111]
Generated Node #0,1,1: 31:[66, 111] Operation: 26+85=111
Exploring Operation: 85-26=59, Resulting Numbers: [66, 59]
Generated Node #0,1,2: 31:[66, 59] Operation: 85-26=59
Exploring Operation: 85-66=19, Resulting Numbers: [26, 19]
Generated Node #0,1,3: 31:[26, 19] Operation: 85-66=19
Exploring Operation: 66-26=40, Resulting Numbers: [85, 40]
Generated Node #0,1,4: 31:[85, 40] Operation: 66-26=40
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 31:[26, 19], Operations: ['87-2=85', '85-66=19']
Exploring Operation: 26+19=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 26*19=494, Resulting Numbers: [494]
494,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[66, 59], Operations: ['87-2=85', '85-26=59']
Exploring Operation: 66*59=3894, Resulting Numbers: [3894]
3894,31 unequal: No Solution
Exploring Operation: 66-59=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 66+59=125, Resulting Numbers: [125]
125,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 31:[85, 40], Operations: ['87-2=85', '66-26=40']
Exploring Operation: 85*40=3400, Resulting Numbers: [3400]
3400,31 unequal: No Solution
Exploring Operation: 85-40=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 85+40=125, Resulting Numbers: [125]
125,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[85, 92], Operations: ['87-2=85', '66+26=92']
Exploring Operation: 92-85=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 85+92=177, Resulting Numbers: [177]
177,31 unequal: No Solution
Exploring Operation: 85*92=7820, Resulting Numbers: [7820]
7820,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[66, 111], Operations: ['87-2=85', '26+85=111']
Exploring Operation: 111-66=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 66+111=177, Resulting Numbers: [177]
177,31 unequal: No Solution
Exploring Operation: 66*111=7326, Resulting Numbers: [7326]
7326,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[87, 2, 40], Operations: ['66-26=40']
Exploring Operation: 87-40=47, Resulting Numbers: [2, 47]
Generated Node #0,2,0: 31:[2, 47] Operation: 87-40=47
Exploring Operation: 40-2=38, Resulting Numbers: [87, 38]
Generated Node #0,2,1: 31:[87, 38] Operation: 40-2=38
Exploring Operation: 2+40=42, Resulting Numbers: [87, 42]
Generated Node #0,2,2: 31:[87, 42] Operation: 2+40=42
Exploring Operation: 87+2=89, Resulting Numbers: [40, 89]
Generated Node #0,2,3: 31:[40, 89] Operation: 87+2=89
Exploring Operation: 87-2=85, Resulting Numbers: [40, 85]
Generated Node #0,2,4: 31:[40, 85] Operation: 87-2=85
Moving to Node #0,2,0
Current State: 31:[2, 47], Operations: ['66-26=40', '87-40=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Moving to Node #0,2,4
Current State: 31:[40, 85], Operations: ['66-26=40', '87-2=85']
Exploring Operation: 85-40=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 40+85=125, Resulting Numbers: [125]
125,31 unequal: No Solution
Exploring Operation: 40*85=3400, Resulting Numbers: [3400]
3400,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[87, 38], Operations: ['66-26=40', '40-2=38']
Exploring Operation: 87+38=125, Resulting Numbers: [125]
125,31 unequal: No Solution
Exploring Operation: 87*38=3306, Resulting Numbers: [3306]
3306,31 unequal: No Solution
Exploring Operation: 87-38=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[87, 42], Operations: ['66-26=40', '2+40=42']
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 87*42=3654, Resulting Numbers: [3654]
3654,31 unequal: No Solution
Exploring Operation: 87+42=129, Resulting Numbers: [129]
129,31 unequal: No Solution
Moving to Node #0,2,3
Current State: 31:[40, 89], Operations: ['66-26=40', '87+2=89']
Exploring Operation: 40+89=129, Resulting Numbers: [129]
129,31 unequal: No Solution
Exploring Operation: 40*89=3560, Resulting Numbers: [3560]
3560,31 unequal: No Solution
Exploring Operation: 89-40=49, Resulting Numbers: [49]
49,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[87, 26, 64], Operations: ['66-2=64']
Exploring Operation: 26+64=90, Resulting Numbers: [87, 90]
Generated Node #0,3,0: 31:[87, 90] Operation: 26+64=90
Exploring Operation: 64-26=38, Resulting Numbers: [87, 38]
Generated Node #0,3,1: 31:[87, 38] Operation: 64-26=38
Exploring Operation: 87-64=23, Resulting Numbers: [26, 23]
Generated Node #0,3,2: 31:[26, 23] Operation: 87-64=23
Exploring Operation: 87-26=61, Resulting Numbers: [64, 61]
Generated Node #0,3,3: 31:[64, 61] Operation: 87-26=61
Exploring Operation: 87+26=113, Resulting Numbers: [64, 113]
Generated Node #0,3,4: 31:[64, 113] Operation: 87+26=113
Moving to Node #0,3,2
Current State: 31:[26, 23], Operations: ['66-2=64', '87-64=23']
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,31 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[64, 61], Operations: ['66-2=64', '87-26=61']
Exploring Operation: 64-61=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 64*61=3904, Resulting Numbers: [3904]
3904,31 unequal: No Solution
Exploring Operation: 64+61=125, Resulting Numbers: [125]
125,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[87, 38], Operations: ['66-2=64', '64-26=38']
Exploring Operation: 87-38=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Exploring Operation: 87*38=3306, Resulting Numbers: [3306]
3306,31 unequal: No Solution
Exploring Operation: 87+38=125, Resulting Numbers: [125]
125,31 unequal: No Solution
Moving to Node #0,3,0
Current State: 31:[87, 90], Operations: ['66-2=64', '26+64=90']
Exploring Operation: 90-87=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 87+90=177, Resulting Numbers: [177]
177,31 unequal: No Solution
Exploring Operation: 87*90=7830, Resulting Numbers: [7830]
7830,31 unequal: No Solution
Moving to Node #0,3,4
Current State: 31:[64, 113], Operations: ['66-2=64', '87+26=113']
Exploring Operation: 113-64=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Exploring Operation: 64*113=7232, Resulting Numbers: [7232]
7232,31 unequal: No Solution
Exploring Operation: 64+113=177, Resulting Numbers: [177]
177,31 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
|
[
87,
68,
6,
77
] | 58 |
[
"87*6=522",
"77-68=9",
"522/9=58"
] |
Current State: 58:[87, 68, 6, 77], Operations: []
Exploring Operation: 87*6=522, Resulting Numbers: [68, 77, 522]
Generated Node #2: [68, 77, 522] from Operation: 87*6=522
Current State: 58:[68, 77, 522], Operations: ['87*6=522']
Exploring Operation: 77-68=9, Resulting Numbers: [522, 9]
Generated Node #3: [522, 9] from Operation: 77-68=9
Current State: 58:[522, 9], Operations: ['87*6=522', '77-68=9']
Exploring Operation: 522/9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[87, 68, 6, 77], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [6, 77, 19]
Generated Node #0,0: 58:[6, 77, 19] Operation: 87-68=19
Exploring Operation: 87-77=10, Resulting Numbers: [68, 6, 10]
Generated Node #0,1: 58:[68, 6, 10] Operation: 87-77=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[68, 6, 10], Operations: ['87-77=10']
Exploring Operation: 68-10=58, Resulting Numbers: [6, 58]
Generated Node #0,1,0: 58:[6, 58] Operation: 68-10=58
Exploring Operation: 68-6=62, Resulting Numbers: [10, 62]
Generated Node #0,1,1: 58:[10, 62] Operation: 68-6=62
Moving to Node #0,1,0
Current State: 58:[6, 58], Operations: ['87-77=10', '68-10=58']
Exploring Operation: 6+58=64, Resulting Numbers: [64]
64,58 unequal: No Solution
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[10, 62], Operations: ['87-77=10', '68-6=62']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,58 unequal: No Solution
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,58 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:[6, 77, 19], Operations: ['87-68=19']
Exploring Operation: 77-19=58, Resulting Numbers: [6, 58]
Generated Node #0,0,0: 58:[6, 58] Operation: 77-19=58
Exploring Operation: 77-6=71, Resulting Numbers: [19, 71]
Generated Node #0,0,1: 58:[19, 71] Operation: 77-6=71
Moving to Node #0,0,0
Current State: 58:[6, 58], Operations: ['87-68=19', '77-19=58']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,58 unequal: No Solution
Exploring Operation: 6+58=64, Resulting Numbers: [64]
64,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[19, 71], Operations: ['87-68=19', '77-6=71']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,58 unequal: No Solution
Exploring Operation: 19+71=90, Resulting Numbers: [90]
90,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
22,
25,
93,
28
] | 91 |
[
"22+28=50",
"50/25=2",
"93-2=91"
] |
Current State: 91:[22, 25, 93, 28], Operations: []
Exploring Operation: 22+28=50, Resulting Numbers: [25, 93, 50]
Generated Node #2: [25, 93, 50] from Operation: 22+28=50
Current State: 91:[25, 93, 50], Operations: ['22+28=50']
Exploring Operation: 50/25=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 50/25=2
Current State: 91:[93, 2], Operations: ['22+28=50', '50/25=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
Current State: 91:[22, 25, 93, 28], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [25, 93, 6]
Generated Node #0,0: 91:[25, 93, 6] Operation: 28-22=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[25, 93, 6], Operations: ['28-22=6']
Exploring Operation: 25-6=19, Resulting Numbers: [93, 19]
Generated Node #0,0,0: 91:[93, 19] Operation: 25-6=19
Moving to Node #0,0,0
Current State: 91:[93, 19], Operations: ['28-22=6', '25-6=19']
Exploring Operation: 93-19=74, Resulting Numbers: [74]
74,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
7,
18,
6,
29
] | 94 |
[
"18/6=3",
"29*3=87",
"7+87=94"
] |
Current State: 94:[7, 18, 6, 29], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [7, 29, 3]
Generated Node #2: [7, 29, 3] from Operation: 18/6=3
Current State: 94:[7, 29, 3], Operations: ['18/6=3']
Exploring Operation: 29*3=87, Resulting Numbers: [7, 87]
Generated Node #3: [7, 87] from Operation: 29*3=87
Current State: 94:[7, 87], Operations: ['18/6=3', '29*3=87']
Exploring Operation: 7+87=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[7, 18, 6, 29], Operations: []
Exploring Operation: 18+29=47, Resulting Numbers: [7, 6, 47]
Generated Node #0,0: 94:[7, 6, 47] Operation: 18+29=47
Moving to Node #0,0
Current State: 94:[7, 6, 47], Operations: ['18+29=47']
Exploring Operation: 7-6=1, Resulting Numbers: [47, 1]
Generated Node #0,0,0: 94:[47, 1] Operation: 7-6=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[47, 1], Operations: ['18+29=47', '7-6=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,94 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
|
[
89,
25,
78,
95
] | 72 |
[
"95-89=6",
"25*6=150",
"150-78=72"
] |
Current State: 72:[89, 25, 78, 95], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [25, 78, 6]
Generated Node #2: [25, 78, 6] from Operation: 95-89=6
Current State: 72:[25, 78, 6], Operations: ['95-89=6']
Exploring Operation: 25*6=150, Resulting Numbers: [78, 150]
Generated Node #3: [78, 150] from Operation: 25*6=150
Current State: 72:[78, 150], Operations: ['95-89=6', '25*6=150']
Exploring Operation: 150-78=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[89, 25, 78, 95], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [25, 78, 6]
Generated Node #0,0: 72:[25, 78, 6] Operation: 95-89=6
Exploring Operation: 95-78=17, Resulting Numbers: [89, 25, 17]
Generated Node #0,1: 72:[89, 25, 17] Operation: 95-78=17
Exploring Operation: 89-78=11, Resulting Numbers: [25, 95, 11]
Generated Node #0,2: 72:[25, 95, 11] Operation: 89-78=11
Exploring Operation: 89-25=64, Resulting Numbers: [78, 95, 64]
Generated Node #0,3: 72:[78, 95, 64] Operation: 89-25=64
Exploring Operation: 95-25=70, Resulting Numbers: [89, 78, 70]
Generated Node #0,4: 72:[89, 78, 70] Operation: 95-25=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[25, 78, 6], Operations: ['95-89=6']
Exploring Operation: 78-6=72, Resulting Numbers: [25, 72]
Generated Node #0,0,0: 72:[25, 72] Operation: 78-6=72
Exploring Operation: 25+6=31, Resulting Numbers: [78, 31]
Generated Node #0,0,1: 72:[78, 31] Operation: 25+6=31
Exploring Operation: 25-6=19, Resulting Numbers: [78, 19]
Generated Node #0,0,2: 72:[78, 19] Operation: 25-6=19
Exploring Operation: 78/6=13, Resulting Numbers: [25, 13]
Generated Node #0,0,3: 72:[25, 13] Operation: 78/6=13
Exploring Operation: 78+6=84, Resulting Numbers: [25, 84]
Generated Node #0,0,4: 72:[25, 84] Operation: 78+6=84
Moving to Node #0,0,0
Current State: 72:[25, 72], Operations: ['95-89=6', '78-6=72']
Exploring Operation: 25*72=1800, Resulting Numbers: [1800]
1800,72 unequal: No Solution
Exploring Operation: 25+72=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[25, 13], Operations: ['95-89=6', '78/6=13']
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,72 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[78, 19], Operations: ['95-89=6', '25-6=19']
Exploring Operation: 78+19=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 78*19=1482, Resulting Numbers: [1482]
1482,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[78, 31], Operations: ['95-89=6', '25+6=31']
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 78*31=2418, Resulting Numbers: [2418]
2418,72 unequal: No Solution
Exploring Operation: 78+31=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Moving to Node #0,0,4
Current State: 72:[25, 84], Operations: ['95-89=6', '78+6=84']
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 25*84=2100, Resulting Numbers: [2100]
2100,72 unequal: No Solution
Exploring Operation: 25+84=109, Resulting Numbers: [109]
109,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[89, 25, 17], Operations: ['95-78=17']
Exploring Operation: 89+17=106, Resulting Numbers: [25, 106]
Generated Node #0,1,0: 72:[25, 106] Operation: 89+17=106
Exploring Operation: 89-25=64, Resulting Numbers: [17, 64]
Generated Node #0,1,1: 72:[17, 64] Operation: 89-25=64
Exploring Operation: 25-17=8, Resulting Numbers: [89, 8]
Generated Node #0,1,2: 72:[89, 8] Operation: 25-17=8
Exploring Operation: 89-17=72, Resulting Numbers: [25, 72]
Generated Node #0,1,3: 72:[25, 72] Operation: 89-17=72
Exploring Operation: 25+17=42, Resulting Numbers: [89, 42]
Generated Node #0,1,4: 72:[89, 42] Operation: 25+17=42
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 72:[25, 72], Operations: ['95-78=17', '89-17=72']
Exploring Operation: 25*72=1800, Resulting Numbers: [1800]
1800,72 unequal: No Solution
Exploring Operation: 25+72=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 72:[17, 64], Operations: ['95-78=17', '89-25=64']
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 17*64=1088, Resulting Numbers: [1088]
1088,72 unequal: No Solution
Exploring Operation: 17+64=81, Resulting Numbers: [81]
81,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 72:[89, 8], Operations: ['95-78=17', '25-17=8']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 89*8=712, Resulting Numbers: [712]
712,72 unequal: No Solution
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 72:[89, 42], Operations: ['95-78=17', '25+17=42']
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 89+42=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 89*42=3738, Resulting Numbers: [3738]
3738,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 72:[25, 106], Operations: ['95-78=17', '89+17=106']
Exploring Operation: 25+106=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 106-25=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 25*106=2650, Resulting Numbers: [2650]
2650,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[25, 95, 11], Operations: ['89-78=11']
Exploring Operation: 95-11=84, Resulting Numbers: [25, 84]
Generated Node #0,2,0: 72:[25, 84] Operation: 95-11=84
Exploring Operation: 25+11=36, Resulting Numbers: [95, 36]
Generated Node #0,2,1: 72:[95, 36] Operation: 25+11=36
Exploring Operation: 95-25=70, Resulting Numbers: [11, 70]
Generated Node #0,2,2: 72:[11, 70] Operation: 95-25=70
Exploring Operation: 95+11=106, Resulting Numbers: [25, 106]
Generated Node #0,2,3: 72:[25, 106] Operation: 95+11=106
Exploring Operation: 25-11=14, Resulting Numbers: [95, 14]
Generated Node #0,2,4: 72:[95, 14] Operation: 25-11=14
Moving to Node #0,2,2
Current State: 72:[11, 70], Operations: ['89-78=11', '95-25=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 11*70=770, Resulting Numbers: [770]
770,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[25, 84], Operations: ['89-78=11', '95-11=84']
Exploring Operation: 25+84=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 25*84=2100, Resulting Numbers: [2100]
2100,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[95, 36], Operations: ['89-78=11', '25+11=36']
Exploring Operation: 95+36=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 95*36=3420, Resulting Numbers: [3420]
3420,72 unequal: No Solution
Moving to Node #0,2,4
Current State: 72:[95, 14], Operations: ['89-78=11', '25-11=14']
Exploring Operation: 95+14=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 95*14=1330, Resulting Numbers: [1330]
1330,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[25, 106], Operations: ['89-78=11', '95+11=106']
Exploring Operation: 25*106=2650, Resulting Numbers: [2650]
2650,72 unequal: No Solution
Exploring Operation: 25+106=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 106-25=81, Resulting Numbers: [81]
81,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 72:[89, 78, 70], Operations: ['95-25=70']
Exploring Operation: 89-70=19, Resulting Numbers: [78, 19]
Generated Node #0,4,0: 72:[78, 19] Operation: 89-70=19
Exploring Operation: 89+70=159, Resulting Numbers: [78, 159]
Generated Node #0,4,1: 72:[78, 159] Operation: 89+70=159
Exploring Operation: 89-78=11, Resulting Numbers: [70, 11]
Generated Node #0,4,2: 72:[70, 11] Operation: 89-78=11
Exploring Operation: 78+70=148, Resulting Numbers: [89, 148]
Generated Node #0,4,3: 72:[89, 148] Operation: 78+70=148
Exploring Operation: 78-70=8, Resulting Numbers: [89, 8]
Generated Node #0,4,4: 72:[89, 8] Operation: 78-70=8
Moving to Node #0,4,2
Current State: 72:[70, 11], Operations: ['95-25=70', '89-78=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,72 unequal: No Solution
Moving to Node #0,4,0
Current State: 72:[78, 19], Operations: ['95-25=70', '89-70=19']
Exploring Operation: 78+19=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 78*19=1482, Resulting Numbers: [1482]
1482,72 unequal: No Solution
Moving to Node #0,4,4
Current State: 72:[89, 8], Operations: ['95-25=70', '78-70=8']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 89*8=712, Resulting Numbers: [712]
712,72 unequal: No Solution
Exploring Operation: 89+8=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Moving to Node #0,4,1
Current State: 72:[78, 159], Operations: ['95-25=70', '89+70=159']
Exploring Operation: 78+159=237, Resulting Numbers: [237]
237,72 unequal: No Solution
Exploring Operation: 78*159=12402, Resulting Numbers: [12402]
12402,72 unequal: No Solution
Exploring Operation: 159-78=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Moving to Node #0,4,3
Current State: 72:[89, 148], Operations: ['95-25=70', '78+70=148']
Exploring Operation: 89*148=13172, Resulting Numbers: [13172]
13172,72 unequal: No Solution
Exploring Operation: 148-89=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 89+148=237, Resulting Numbers: [237]
237,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 72:[78, 95, 64], Operations: ['89-25=64']
Exploring Operation: 95-78=17, Resulting Numbers: [64, 17]
Generated Node #0,3,0: 72:[64, 17] Operation: 95-78=17
Exploring Operation: 95+64=159, Resulting Numbers: [78, 159]
Generated Node #0,3,1: 72:[78, 159] Operation: 95+64=159
Exploring Operation: 78-64=14, Resulting Numbers: [95, 14]
Generated Node #0,3,2: 72:[95, 14] Operation: 78-64=14
Exploring Operation: 78+64=142, Resulting Numbers: [95, 142]
Generated Node #0,3,3: 72:[95, 142] Operation: 78+64=142
Exploring Operation: 95-64=31, Resulting Numbers: [78, 31]
Generated Node #0,3,4: 72:[78, 31] Operation: 95-64=31
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 72:[64, 17], Operations: ['89-25=64', '95-78=17']
Exploring Operation: 64*17=1088, Resulting Numbers: [1088]
1088,72 unequal: No Solution
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 72:[78, 31], Operations: ['89-25=64', '95-64=31']
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 78*31=2418, Resulting Numbers: [2418]
2418,72 unequal: No Solution
Exploring Operation: 78+31=109, Resulting Numbers: [109]
109,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 72:[95, 14], Operations: ['89-25=64', '78-64=14']
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 95*14=1330, Resulting Numbers: [1330]
1330,72 unequal: No Solution
Exploring Operation: 95+14=109, Resulting Numbers: [109]
109,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 72:[78, 159], Operations: ['89-25=64', '95+64=159']
Exploring Operation: 159-78=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 78*159=12402, Resulting Numbers: [12402]
12402,72 unequal: No Solution
Exploring Operation: 78+159=237, Resulting Numbers: [237]
237,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 72:[95, 142], Operations: ['89-25=64', '78+64=142']
Exploring Operation: 142-95=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 95*142=13490, Resulting Numbers: [13490]
13490,72 unequal: No Solution
Exploring Operation: 95+142=237, Resulting Numbers: [237]
237,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
64,
44,
3,
47
] | 63 |
[
"44+3=47",
"47/47=1",
"64-1=63"
] |
Current State: 63:[64, 44, 3, 47], Operations: []
Exploring Operation: 44+3=47, Resulting Numbers: [64, 47, 47]
Generated Node #2: [64, 47, 47] from Operation: 44+3=47
Current State: 63:[64, 47, 47], Operations: ['44+3=47']
Exploring Operation: 47/47=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 47/47=1
Current State: 63:[64, 1], Operations: ['44+3=47', '47/47=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[64, 44, 3, 47], Operations: []
Exploring Operation: 64-47=17, Resulting Numbers: [44, 3, 17]
Generated Node #0,0: 63:[44, 3, 17] Operation: 64-47=17
Exploring Operation: 47-44=3, Resulting Numbers: [64, 3, 3]
Generated Node #0,1: 63:[64, 3, 3] Operation: 47-44=3
Exploring Operation: 64-44=20, Resulting Numbers: [3, 47, 20]
Generated Node #0,2: 63:[3, 47, 20] Operation: 64-44=20
Moving to Node #0,1
Current State: 63:[64, 3, 3], Operations: ['47-44=3']
Exploring Operation: 64-3=61, Resulting Numbers: [3, 61]
Generated Node #0,1,0: 63:[3, 61] Operation: 64-3=61
Exploring Operation: 64-3=61, Resulting Numbers: [3, 61]
Generated Node #0,1,1: 63:[3, 61] Operation: 64-3=61
Exploring Operation: 3*3=9, Resulting Numbers: [64, 9]
Generated Node #0,1,2: 63:[64, 9] Operation: 3*3=9
Moving to Node #0,2
Current State: 63:[3, 47, 20], Operations: ['64-44=20']
Exploring Operation: 47-20=27, Resulting Numbers: [3, 27]
Generated Node #0,2,0: 63:[3, 27] Operation: 47-20=27
Exploring Operation: 47+20=67, Resulting Numbers: [3, 67]
Generated Node #0,2,1: 63:[3, 67] Operation: 47+20=67
Exploring Operation: 3+47=50, Resulting Numbers: [20, 50]
Generated Node #0,2,2: 63:[20, 50] Operation: 3+47=50
Moving to Node #0,0
Current State: 63:[44, 3, 17], Operations: ['64-47=17']
Exploring Operation: 44+3=47, Resulting Numbers: [17, 47]
Generated Node #0,0,0: 63:[17, 47] Operation: 44+3=47
Exploring Operation: 44-17=27, Resulting Numbers: [3, 27]
Generated Node #0,0,1: 63:[3, 27] Operation: 44-17=27
Exploring Operation: 44+17=61, Resulting Numbers: [3, 61]
Generated Node #0,0,2: 63:[3, 61] Operation: 44+17=61
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 63:[3, 61], Operations: ['64-47=17', '44+17=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,63 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[3, 27], Operations: ['64-47=17', '44-17=27']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[17, 47], Operations: ['64-47=17', '44+3=47']
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 17*47=799, Resulting Numbers: [799]
799,63 unequal: No Solution
Exploring Operation: 17+47=64, Resulting Numbers: [64]
64,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 63:[64, 9], Operations: ['47-44=3', '3*3=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,63 unequal: No Solution
Exploring Operation: 64*9=576, Resulting Numbers: [576]
576,63 unequal: No Solution
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[3, 61], Operations: ['47-44=3', '64-3=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,63 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[3, 61], Operations: ['47-44=3', '64-3=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,63 unequal: No Solution
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[3, 67], Operations: ['64-44=20', '47+20=67']
Exploring Operation: 3*67=201, Resulting Numbers: [201]
201,63 unequal: No Solution
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[3, 27], Operations: ['64-44=20', '47-20=27']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[20, 50], Operations: ['64-44=20', '3+47=50']
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 20+50=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Exploring Operation: 20*50=1000, Resulting Numbers: [1000]
1000,63 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
8,
16,
96,
62
] | 42 |
[
"16-8=8",
"96-62=34",
"8+34=42"
] |
Current State: 42:[8, 16, 96, 62], Operations: []
Exploring Operation: 16-8=8, Resulting Numbers: [96, 62, 8]
Generated Node #2: [96, 62, 8] from Operation: 16-8=8
Current State: 42:[96, 62, 8], Operations: ['16-8=8']
Exploring Operation: 96-62=34, Resulting Numbers: [8, 34]
Generated Node #3: [8, 34] from Operation: 96-62=34
Current State: 42:[8, 34], Operations: ['16-8=8', '96-62=34']
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
Current State: 42:[8, 16, 96, 62], Operations: []
Exploring Operation: 96-62=34, Resulting Numbers: [8, 16, 34]
Generated Node #0,0: 42:[8, 16, 34] Operation: 96-62=34
Exploring Operation: 96-16=80, Resulting Numbers: [8, 62, 80]
Generated Node #0,1: 42:[8, 62, 80] Operation: 96-16=80
Exploring Operation: 62-16=46, Resulting Numbers: [8, 96, 46]
Generated Node #0,2: 42:[8, 96, 46] Operation: 62-16=46
Exploring Operation: 96/16=6, Resulting Numbers: [8, 62, 6]
Generated Node #0,3: 42:[8, 62, 6] Operation: 96/16=6
Exploring Operation: 96/8=12, Resulting Numbers: [16, 62, 12]
Generated Node #0,4: 42:[16, 62, 12] Operation: 96/8=12
Moving to Node #0,0
Current State: 42:[8, 16, 34], Operations: ['96-62=34']
Exploring Operation: 16/8=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 42:[34, 2] Operation: 16/8=2
Exploring Operation: 8+34=42, Resulting Numbers: [16, 42]
Generated Node #0,0,1: 42:[16, 42] Operation: 8+34=42
Exploring Operation: 34-16=18, Resulting Numbers: [8, 18]
Generated Node #0,0,2: 42:[8, 18] Operation: 34-16=18
Exploring Operation: 16-8=8, Resulting Numbers: [34, 8]
Generated Node #0,0,3: 42:[34, 8] Operation: 16-8=8
Exploring Operation: 34-8=26, Resulting Numbers: [16, 26]
Generated Node #0,0,4: 42:[16, 26] Operation: 34-8=26
Moving to Node #0,3
Current State: 42:[8, 62, 6], Operations: ['96/16=6']
Exploring Operation: 62-8=54, Resulting Numbers: [6, 54]
Generated Node #0,3,0: 42:[6, 54] Operation: 62-8=54
Exploring Operation: 8-6=2, Resulting Numbers: [62, 2]
Generated Node #0,3,1: 42:[62, 2] Operation: 8-6=2
Exploring Operation: 8*6=48, Resulting Numbers: [62, 48]
Generated Node #0,3,2: 42:[62, 48] Operation: 8*6=48
Exploring Operation: 8+6=14, Resulting Numbers: [62, 14]
Generated Node #0,3,3: 42:[62, 14] Operation: 8+6=14
Exploring Operation: 62-6=56, Resulting Numbers: [8, 56]
Generated Node #0,3,4: 42:[8, 56] Operation: 62-6=56
Moving to Node #0,4
Current State: 42:[16, 62, 12], Operations: ['96/8=12']
Exploring Operation: 62+12=74, Resulting Numbers: [16, 74]
Generated Node #0,4,0: 42:[16, 74] Operation: 62+12=74
Exploring Operation: 62-16=46, Resulting Numbers: [12, 46]
Generated Node #0,4,1: 42:[12, 46] Operation: 62-16=46
Exploring Operation: 16-12=4, Resulting Numbers: [62, 4]
Generated Node #0,4,2: 42:[62, 4] Operation: 16-12=4
Exploring Operation: 16+12=28, Resulting Numbers: [62, 28]
Generated Node #0,4,3: 42:[62, 28] Operation: 16+12=28
Exploring Operation: 62-12=50, Resulting Numbers: [16, 50]
Generated Node #0,4,4: 42:[16, 50] Operation: 62-12=50
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 42:[12, 46], Operations: ['96/8=12', '62-16=46']
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,42 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,42 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 #0,4,4
Current State: 42:[16, 50], Operations: ['96/8=12', '62-12=50']
Exploring Operation: 16*50=800, Resulting Numbers: [800]
800,42 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 16+50=66, Resulting Numbers: [66]
66,42 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 #0,4,2
Current State: 42:[62, 4], Operations: ['96/8=12', '16-12=4']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,42 unequal: No Solution
Exploring Operation: 62*4=248, Resulting Numbers: [248]
248,42 unequal: No Solution
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,42 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 #0,4,3
Current State: 42:[62, 28], Operations: ['96/8=12', '16+12=28']
Exploring Operation: 62*28=1736, Resulting Numbers: [1736]
1736,42 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 62+28=90, Resulting Numbers: [90]
90,42 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 #0,4,0
Current State: 42:[16, 74], Operations: ['96/8=12', '62+12=74']
Exploring Operation: 16+74=90, Resulting Numbers: [90]
90,42 unequal: No Solution
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,42 unequal: No Solution
Exploring Operation: 16*74=1184, Resulting Numbers: [1184]
1184,42 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:[8, 62, 80], Operations: ['96-16=80']
Exploring Operation: 62-8=54, Resulting Numbers: [80, 54]
Generated Node #0,1,0: 42:[80, 54] Operation: 62-8=54
Exploring Operation: 80-62=18, Resulting Numbers: [8, 18]
Generated Node #0,1,1: 42:[8, 18] Operation: 80-62=18
Exploring Operation: 80-8=72, Resulting Numbers: [62, 72]
Generated Node #0,1,2: 42:[62, 72] Operation: 80-8=72
Exploring Operation: 80/8=10, Resulting Numbers: [62, 10]
Generated Node #0,1,3: 42:[62, 10] Operation: 80/8=10
Exploring Operation: 8+62=70, Resulting Numbers: [80, 70]
Generated Node #0,1,4: 42:[80, 70] Operation: 8+62=70
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[8, 18], Operations: ['96-16=80', '80-62=18']
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,42 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,42 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:[62, 10], Operations: ['96-16=80', '80/8=10']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,42 unequal: No Solution
Exploring Operation: 62+10=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 62*10=620, Resulting Numbers: [620]
620,42 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:[80, 54], Operations: ['96-16=80', '62-8=54']
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 80*54=4320, Resulting Numbers: [4320]
4320,42 unequal: No Solution
Exploring Operation: 80+54=134, Resulting Numbers: [134]
134,42 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:[62, 72], Operations: ['96-16=80', '80-8=72']
Exploring Operation: 72-62=10, Resulting Numbers: [10]
10,42 unequal: No Solution
Exploring Operation: 62+72=134, Resulting Numbers: [134]
134,42 unequal: No Solution
Exploring Operation: 62*72=4464, Resulting Numbers: [4464]
4464,42 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 #0,1,4
Current State: 42:[80, 70], Operations: ['96-16=80', '8+62=70']
Exploring Operation: 80*70=5600, Resulting Numbers: [5600]
5600,42 unequal: No Solution
Exploring Operation: 80-70=10, Resulting Numbers: [10]
10,42 unequal: No Solution
Exploring Operation: 80+70=150, Resulting Numbers: [150]
150,42 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: 42:[8, 96, 46], Operations: ['62-16=46']
Exploring Operation: 96-46=50, Resulting Numbers: [8, 50]
Generated Node #0,2,0: 42:[8, 50] Operation: 96-46=50
Exploring Operation: 96/8=12, Resulting Numbers: [46, 12]
Generated Node #0,2,1: 42:[46, 12] Operation: 96/8=12
Exploring Operation: 46-8=38, Resulting Numbers: [96, 38]
Generated Node #0,2,2: 42:[96, 38] Operation: 46-8=38
Exploring Operation: 96-8=88, Resulting Numbers: [46, 88]
Generated Node #0,2,3: 42:[46, 88] Operation: 96-8=88
Exploring Operation: 8+96=104, Resulting Numbers: [46, 104]
Generated Node #0,2,4: 42:[46, 104] Operation: 8+96=104
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 42:[46, 12], Operations: ['62-16=46', '96/8=12']
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,42 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 46*12=552, Resulting Numbers: [552]
552,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 42:[8, 50], Operations: ['62-16=46', '96-46=50']
Exploring Operation: 8*50=400, Resulting Numbers: [400]
400,42 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[8, 16, 96, 62], Operations: []
Exploring Operation: 62-16=46, Resulting Numbers: [8, 96, 46]
Generated Node #0,2: 42:[8, 96, 46] Operation: 62-16=46
Moving to Node #0,2
Current State: 42:[8, 96, 46], Operations: ['62-16=46']
Exploring Operation: 96-46=50, Resulting Numbers: [8, 50]
Generated Node #0,2,0: 42:[8, 50] Operation: 96-46=50
Moving to Node #0,2,0
Current State: 42:[8, 50], Operations: ['62-16=46', '96-46=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.940104 |
hs_5
|
sum_heuristic
|
[
30,
27,
8,
60
] | 71 |
[
"30-27=3",
"8+60=68",
"3+68=71"
] |
Current State: 71:[30, 27, 8, 60], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [8, 60, 3]
Generated Node #2: [8, 60, 3] from Operation: 30-27=3
Current State: 71:[8, 60, 3], Operations: ['30-27=3']
Exploring Operation: 8+60=68, Resulting Numbers: [3, 68]
Generated Node #3: [3, 68] from Operation: 8+60=68
Current State: 71:[3, 68], Operations: ['30-27=3', '8+60=68']
Exploring Operation: 3+68=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
Current State: 71:[30, 27, 8, 60], Operations: []
Exploring Operation: 30+8=38, Resulting Numbers: [27, 60, 38]
Generated Node #0,0: 71:[27, 60, 38] Operation: 30+8=38
Exploring Operation: 30+27=57, Resulting Numbers: [8, 60, 57]
Generated Node #0,1: 71:[8, 60, 57] Operation: 30+27=57
Exploring Operation: 8+60=68, Resulting Numbers: [30, 27, 68]
Generated Node #0,2: 71:[30, 27, 68] Operation: 8+60=68
Exploring Operation: 27+8=35, Resulting Numbers: [30, 60, 35]
Generated Node #0,3: 71:[30, 60, 35] Operation: 27+8=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[27, 60, 38], Operations: ['30+8=38']
Exploring Operation: 38-27=11, Resulting Numbers: [60, 11]
Generated Node #0,0,0: 71:[60, 11] Operation: 38-27=11
Exploring Operation: 60-27=33, Resulting Numbers: [38, 33]
Generated Node #0,0,1: 71:[38, 33] Operation: 60-27=33
Exploring Operation: 27+60=87, Resulting Numbers: [38, 87]
Generated Node #0,0,2: 71:[38, 87] Operation: 27+60=87
Exploring Operation: 27+38=65, Resulting Numbers: [60, 65]
Generated Node #0,0,3: 71:[60, 65] Operation: 27+38=65
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 71:[60, 65], Operations: ['30+8=38', '27+38=65']
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,71 unequal: No Solution
Exploring Operation: 60+65=125, Resulting Numbers: [125]
125,71 unequal: No Solution
Exploring Operation: 60*65=3900, Resulting Numbers: [3900]
3900,71 unequal: No Solution
No 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: 71:[38, 87], Operations: ['30+8=38', '27+60=87']
Exploring Operation: 38+87=125, Resulting Numbers: [125]
125,71 unequal: No Solution
Exploring Operation: 38*87=3306, Resulting Numbers: [3306]
3306,71 unequal: No Solution
Exploring Operation: 87-38=49, Resulting Numbers: [49]
49,71 unequal: No Solution
No 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: 71:[60, 11], Operations: ['30+8=38', '38-27=11']
Exploring Operation: 60*11=660, Resulting Numbers: [660]
660,71 unequal: No Solution
Exploring Operation: 60+11=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[30, 27, 8, 60], Operations: []
Exploring Operation: 30+8=38, Resulting Numbers: [27, 60, 38]
Generated Node #0,0: 71:[27, 60, 38] Operation: 30+8=38
Moving to Node #0,0
Current State: 71:[27, 60, 38], Operations: ['30+8=38']
Exploring Operation: 38-27=11, Resulting Numbers: [60, 11]
Generated Node #0,0,0: 71:[60, 11] Operation: 38-27=11
Moving to Node #0,0,0
Current State: 71:[60, 11], Operations: ['30+8=38', '38-27=11']
Exploring Operation: 60+11=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 |
hs_4
|
mult_heuristic
|
[
84,
79,
73,
7
] | 91 |
[
"84*79=6636",
"7+6636=6643",
"6643/73=91"
] |
Current State: 91:[84, 79, 73, 7], Operations: []
Exploring Operation: 84*79=6636, Resulting Numbers: [73, 7, 6636]
Generated Node #2: [73, 7, 6636] from Operation: 84*79=6636
Current State: 91:[73, 7, 6636], Operations: ['84*79=6636']
Exploring Operation: 7+6636=6643, Resulting Numbers: [73, 6643]
Generated Node #3: [73, 6643] from Operation: 7+6636=6643
Current State: 91:[73, 6643], Operations: ['84*79=6636', '7+6636=6643']
Exploring Operation: 6643/73=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
Current State: 91:[84, 79, 73, 7], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [73, 7, 5]
Generated Node #0,0: 91:[73, 7, 5] Operation: 84-79=5
Exploring Operation: 84-73=11, Resulting Numbers: [79, 7, 11]
Generated Node #0,1: 91:[79, 7, 11] Operation: 84-73=11
Exploring Operation: 79-73=6, Resulting Numbers: [84, 7, 6]
Generated Node #0,2: 91:[84, 7, 6] Operation: 79-73=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[84, 7, 6], Operations: ['79-73=6']
Exploring Operation: 84/6=14, Resulting Numbers: [7, 14]
Generated Node #0,2,0: 91:[7, 14] Operation: 84/6=14
Exploring Operation: 84+6=90, Resulting Numbers: [7, 90]
Generated Node #0,2,1: 91:[7, 90] Operation: 84+6=90
Exploring Operation: 84+7=91, Resulting Numbers: [6, 91]
Generated Node #0,2,2: 91:[6, 91] Operation: 84+7=91
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 91:[7, 14], Operations: ['79-73=6', '84/6=14']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,91 unequal: No Solution
No 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: 91:[7, 90], Operations: ['79-73=6', '84+6=90']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,91 unequal: No Solution
Exploring Operation: 7*90=630, Resulting Numbers: [630]
630,91 unequal: No Solution
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,91 unequal: No Solution
No 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: 91:[6, 91], Operations: ['79-73=6', '84+7=91']
Exploring Operation: 6*91=546, Resulting Numbers: [546]
546,91 unequal: No Solution
Exploring Operation: 6+91=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,91 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: 91:[79, 7, 11], Operations: ['84-73=11']
Exploring Operation: 11-7=4, Resulting Numbers: [79, 4]
Generated Node #0,1,0: 91:[79, 4] Operation: 11-7=4
Exploring Operation: 79+7=86, Resulting Numbers: [11, 86]
Generated Node #0,1,1: 91:[11, 86] Operation: 79+7=86
Exploring Operation: 79+11=90, Resulting Numbers: [7, 90]
Generated Node #0,1,2: 91:[7, 90] Operation: 79+11=90
Moving to Node #0,1,2
Current State: 91:[7, 90], Operations: ['84-73=11', '79+11=90']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,91 unequal: No Solution
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 7*90=630, Resulting Numbers: [630]
630,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[11, 86], Operations: ['84-73=11', '79+7=86']
Exploring Operation: 11+86=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 11*86=946, Resulting Numbers: [946]
946,91 unequal: No Solution
Exploring Operation: 86-11=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[79, 4], Operations: ['84-73=11', '11-7=4']
Exploring Operation: 79*4=316, Resulting Numbers: [316]
316,91 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[73, 7, 5], Operations: ['84-79=5']
Exploring Operation: 7+5=12, Resulting Numbers: [73, 12]
Generated Node #0,0,0: 91:[73, 12] Operation: 7+5=12
Exploring Operation: 73+5=78, Resulting Numbers: [7, 78]
Generated Node #0,0,1: 91:[7, 78] Operation: 73+5=78
Exploring Operation: 73+7=80, Resulting Numbers: [5, 80]
Generated Node #0,0,2: 91:[5, 80] Operation: 73+7=80
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[7, 78], Operations: ['84-79=5', '73+5=78']
Exploring Operation: 7*78=546, Resulting Numbers: [546]
546,91 unequal: No Solution
Exploring Operation: 7+78=85, Resulting Numbers: [85]
85,91 unequal: No Solution
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,91 unequal: No Solution
No 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: 91:[5, 80], Operations: ['84-79=5', '73+7=80']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,91 unequal: No Solution
No 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: 91:[73, 12], Operations: ['84-79=5', '7+5=12']
Exploring Operation: 73*12=876, Resulting Numbers: [876]
876,91 unequal: No Solution
Exploring Operation: 73+12=85, Resulting Numbers: [85]
85,91 unequal: No Solution
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,91 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
|
[
83,
39,
51,
10
] | 74 |
[
"39+51=90",
"90/10=9",
"83-9=74"
] |
Current State: 74:[83, 39, 51, 10], Operations: []
Exploring Operation: 39+51=90, Resulting Numbers: [83, 10, 90]
Generated Node #2: [83, 10, 90] from Operation: 39+51=90
Current State: 74:[83, 10, 90], Operations: ['39+51=90']
Exploring Operation: 90/10=9, Resulting Numbers: [83, 9]
Generated Node #3: [83, 9] from Operation: 90/10=9
Current State: 74:[83, 9], Operations: ['39+51=90', '90/10=9']
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[83, 39, 51, 10], Operations: []
Exploring Operation: 51-10=41, Resulting Numbers: [83, 39, 41]
Generated Node #0,0: 74:[83, 39, 41] Operation: 51-10=41
Exploring Operation: 83-51=32, Resulting Numbers: [39, 10, 32]
Generated Node #0,1: 74:[39, 10, 32] Operation: 83-51=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[83, 39, 41], Operations: ['51-10=41']
Exploring Operation: 83-41=42, Resulting Numbers: [39, 42]
Generated Node #0,0,0: 74:[39, 42] Operation: 83-41=42
Exploring Operation: 41-39=2, Resulting Numbers: [83, 2]
Generated Node #0,0,1: 74:[83, 2] Operation: 41-39=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[39, 42], Operations: ['51-10=41', '83-41=42']
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,74 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,74 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 #0,0,1
Current State: 74:[83, 2], Operations: ['51-10=41', '41-39=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,74 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 #0,1
Current State: 74:[39, 10, 32], Operations: ['83-51=32']
Exploring Operation: 10+32=42, Resulting Numbers: [39, 42]
Generated Node #0,1,0: 74:[39, 42] Operation: 10+32=42
Exploring Operation: 39+32=71, Resulting Numbers: [10, 71]
Generated Node #0,1,1: 74:[10, 71] Operation: 39+32=71
Moving to Node #0,1,0
Current State: 74:[39, 42], Operations: ['83-51=32', '10+32=42']
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,74 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[10, 71], Operations: ['83-51=32', '39+32=71']
Exploring Operation: 10+71=81, Resulting Numbers: [81]
81,74 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,74 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
|
[
93,
45,
68,
36
] | 80 |
[
"93-45=48",
"68-36=32",
"48+32=80"
] |
Current State: 80:[93, 45, 68, 36], Operations: []
Exploring Operation: 93-45=48, Resulting Numbers: [68, 36, 48]
Generated Node #2: [68, 36, 48] from Operation: 93-45=48
Current State: 80:[68, 36, 48], Operations: ['93-45=48']
Exploring Operation: 68-36=32, Resulting Numbers: [48, 32]
Generated Node #3: [48, 32] from Operation: 68-36=32
Current State: 80:[48, 32], Operations: ['93-45=48', '68-36=32']
Exploring Operation: 48+32=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[93, 45, 68, 36], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [45, 36, 25]
Generated Node #0,0: 80:[45, 36, 25] Operation: 93-68=25
Exploring Operation: 45+36=81, Resulting Numbers: [93, 68, 81]
Generated Node #0,1: 80:[93, 68, 81] Operation: 45+36=81
Exploring Operation: 93-45=48, Resulting Numbers: [68, 36, 48]
Generated Node #0,2: 80:[68, 36, 48] Operation: 93-45=48
Exploring Operation: 68-45=23, Resulting Numbers: [93, 36, 23]
Generated Node #0,3: 80:[93, 36, 23] Operation: 68-45=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[45, 36, 25], Operations: ['93-68=25']
Exploring Operation: 45-36=9, Resulting Numbers: [25, 9]
Generated Node #0,0,0: 80:[25, 9] Operation: 45-36=9
Exploring Operation: 36-25=11, Resulting Numbers: [45, 11]
Generated Node #0,0,1: 80:[45, 11] Operation: 36-25=11
Exploring Operation: 45-25=20, Resulting Numbers: [36, 20]
Generated Node #0,0,2: 80:[36, 20] Operation: 45-25=20
Exploring Operation: 45+36=81, Resulting Numbers: [25, 81]
Generated Node #0,0,3: 80:[25, 81] Operation: 45+36=81
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 80:[36, 20], Operations: ['93-68=25', '45-25=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,80 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,80 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,80 unequal: No Solution
No 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: 80:[25, 9], Operations: ['93-68=25', '45-36=9']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 25*9=225, Resulting Numbers: [225]
225,80 unequal: No Solution
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,80 unequal: No Solution
No 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: 80:[45, 11], Operations: ['93-68=25', '36-25=11']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,80 unequal: No Solution
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,80 unequal: No Solution
No 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: 80:[25, 81], Operations: ['93-68=25', '45+36=81']
Exploring Operation: 81-25=56, Resulting Numbers: [56]
56,80 unequal: No Solution
Exploring Operation: 25*81=2025, Resulting Numbers: [2025]
2025,80 unequal: No Solution
Exploring Operation: 25+81=106, Resulting Numbers: [106]
106,80 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: 80:[93, 36, 23], Operations: ['68-45=23']
Exploring Operation: 36+23=59, Resulting Numbers: [93, 59]
Generated Node #0,3,0: 80:[93, 59] Operation: 36+23=59
Exploring Operation: 36-23=13, Resulting Numbers: [93, 13]
Generated Node #0,3,1: 80:[93, 13] Operation: 36-23=13
Exploring Operation: 93-36=57, Resulting Numbers: [23, 57]
Generated Node #0,3,2: 80:[23, 57] Operation: 93-36=57
Exploring Operation: 93-23=70, Resulting Numbers: [36, 70]
Generated Node #0,3,3: 80:[36, 70] Operation: 93-23=70
Moving to Node #0,3,3
Current State: 80:[36, 70], Operations: ['68-45=23', '93-23=70']
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 36+70=106, Resulting Numbers: [106]
106,80 unequal: No Solution
Exploring Operation: 36*70=2520, Resulting Numbers: [2520]
2520,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[93, 13], Operations: ['68-45=23', '36-23=13']
Exploring Operation: 93+13=106, Resulting Numbers: [106]
106,80 unequal: No Solution
Exploring Operation: 93*13=1209, Resulting Numbers: [1209]
1209,80 unequal: No Solution
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[93, 45, 68, 36], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [93, 36, 23]
Generated Node #0,3: 80:[93, 36, 23] Operation: 68-45=23
Moving to Node #0,3
Current State: 80:[93, 36, 23], Operations: ['68-45=23']
Exploring Operation: 36-23=13, Resulting Numbers: [93, 13]
Generated Node #0,3,1: 80:[93, 13] Operation: 36-23=13
Moving to Node #0,3,1
Current State: 80:[93, 13], Operations: ['68-45=23', '36-23=13']
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 |
hs_4
|
sum_heuristic
|
[
49,
11,
35,
7
] | 22 |
[
"49-35=14",
"11*14=154",
"154/7=22"
] |
Current State: 22:[49, 11, 35, 7], Operations: []
Exploring Operation: 49-35=14, Resulting Numbers: [11, 7, 14]
Generated Node #2: [11, 7, 14] from Operation: 49-35=14
Current State: 22:[11, 7, 14], Operations: ['49-35=14']
Exploring Operation: 11*14=154, Resulting Numbers: [7, 154]
Generated Node #3: [7, 154] from Operation: 11*14=154
Current State: 22:[7, 154], Operations: ['49-35=14', '11*14=154']
Exploring Operation: 154/7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[49, 11, 35, 7], Operations: []
Exploring Operation: 49-35=14, Resulting Numbers: [11, 7, 14]
Generated Node #0,0: 22:[11, 7, 14] Operation: 49-35=14
Moving to Node #0,0
Current State: 22:[11, 7, 14], Operations: ['49-35=14']
Exploring Operation: 14/7=2, Resulting Numbers: [11, 2]
Generated Node #0,0,0: 22:[11, 2] Operation: 14/7=2
Moving to Node #0,0,0
Current State: 22:[11, 2], Operations: ['49-35=14', '14/7=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[49, 11, 35, 7], Operations: []
Exploring Operation: 49-35=14, Resulting Numbers: [11, 7, 14]
Generated Node #0,0: 22:[11, 7, 14] Operation: 49-35=14
Moving to Node #0,0
Current State: 22:[11, 7, 14], Operations: ['49-35=14']
Exploring Operation: 14/7=2, Resulting Numbers: [11, 2]
Generated Node #0,0,0: 22:[11, 2] Operation: 14/7=2
Moving to Node #0,0,0
Current State: 22:[11, 2], Operations: ['49-35=14', '14/7=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.993924 |
hs_1
|
sum_heuristic
|
[
19,
42,
84,
55
] | 93 |
[
"19*84=1596",
"1596/42=38",
"55+38=93"
] |
Current State: 93:[19, 42, 84, 55], Operations: []
Exploring Operation: 19*84=1596, Resulting Numbers: [42, 55, 1596]
Generated Node #2: [42, 55, 1596] from Operation: 19*84=1596
Current State: 93:[42, 55, 1596], Operations: ['19*84=1596']
Exploring Operation: 1596/42=38, Resulting Numbers: [55, 38]
Generated Node #3: [55, 38] from Operation: 1596/42=38
Current State: 93:[55, 38], Operations: ['19*84=1596', '1596/42=38']
Exploring Operation: 55+38=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[19, 42, 84, 55], Operations: []
Exploring Operation: 55-19=36, Resulting Numbers: [42, 84, 36]
Generated Node #0,0: 93:[42, 84, 36] Operation: 55-19=36
Moving to Node #0,0
Current State: 93:[42, 84, 36], Operations: ['55-19=36']
Exploring Operation: 84/42=2, Resulting Numbers: [36, 2]
Generated Node #0,0,0: 93:[36, 2] Operation: 84/42=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[36, 2], Operations: ['55-19=36', '84/42=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,93 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
|
[
43,
22,
51,
64
] | 52 |
[
"43+22=65",
"64-51=13",
"65-13=52"
] |
Current State: 52:[43, 22, 51, 64], Operations: []
Exploring Operation: 43+22=65, Resulting Numbers: [51, 64, 65]
Generated Node #2: [51, 64, 65] from Operation: 43+22=65
Current State: 52:[51, 64, 65], Operations: ['43+22=65']
Exploring Operation: 64-51=13, Resulting Numbers: [65, 13]
Generated Node #3: [65, 13] from Operation: 64-51=13
Current State: 52:[65, 13], Operations: ['43+22=65', '64-51=13']
Exploring Operation: 65-13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[43, 22, 51, 64], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [22, 51, 21]
Generated Node #0,0: 52:[22, 51, 21] Operation: 64-43=21
Exploring Operation: 64-51=13, Resulting Numbers: [43, 22, 13]
Generated Node #0,1: 52:[43, 22, 13] Operation: 64-51=13
Exploring Operation: 43-22=21, Resulting Numbers: [51, 64, 21]
Generated Node #0,2: 52:[51, 64, 21] Operation: 43-22=21
Exploring Operation: 51-43=8, Resulting Numbers: [22, 64, 8]
Generated Node #0,3: 52:[22, 64, 8] Operation: 51-43=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[22, 51, 21], Operations: ['64-43=21']
Exploring Operation: 51-22=29, Resulting Numbers: [21, 29]
Generated Node #0,0,0: 52:[21, 29] Operation: 51-22=29
Exploring Operation: 22-21=1, Resulting Numbers: [51, 1]
Generated Node #0,0,1: 52:[51, 1] Operation: 22-21=1
Exploring Operation: 51-21=30, Resulting Numbers: [22, 30]
Generated Node #0,0,2: 52:[22, 30] Operation: 51-21=30
Exploring Operation: 22+21=43, Resulting Numbers: [51, 43]
Generated Node #0,0,3: 52:[51, 43] Operation: 22+21=43
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[51, 1], Operations: ['64-43=21', '22-21=1']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 51+1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[43, 22, 51, 64], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [22, 51, 21]
Generated Node #0,0: 52:[22, 51, 21] Operation: 64-43=21
Moving to Node #0,0
Current State: 52:[22, 51, 21], Operations: ['64-43=21']
Exploring Operation: 22-21=1, Resulting Numbers: [51, 1]
Generated Node #0,0,1: 52:[51, 1] Operation: 22-21=1
Moving to Node #0,0,1
Current State: 52:[51, 1], Operations: ['64-43=21', '22-21=1']
Exploring Operation: 51+1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
41,
89,
21,
55
] | 54 |
[
"41+89=130",
"21+55=76",
"130-76=54"
] |
Current State: 54:[41, 89, 21, 55], Operations: []
Exploring Operation: 41+89=130, Resulting Numbers: [21, 55, 130]
Generated Node #2: [21, 55, 130] from Operation: 41+89=130
Current State: 54:[21, 55, 130], Operations: ['41+89=130']
Exploring Operation: 21+55=76, Resulting Numbers: [130, 76]
Generated Node #3: [130, 76] from Operation: 21+55=76
Current State: 54:[130, 76], Operations: ['41+89=130', '21+55=76']
Exploring Operation: 130-76=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[41, 89, 21, 55], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [21, 55, 48]
Generated Node #0,0: 54:[21, 55, 48] Operation: 89-41=48
Exploring Operation: 89-55=34, Resulting Numbers: [41, 21, 34]
Generated Node #0,1: 54:[41, 21, 34] Operation: 89-55=34
Exploring Operation: 89-21=68, Resulting Numbers: [41, 55, 68]
Generated Node #0,2: 54:[41, 55, 68] Operation: 89-21=68
Moving to Node #0,0
Current State: 54:[21, 55, 48], Operations: ['89-41=48']
Exploring Operation: 48-21=27, Resulting Numbers: [55, 27]
Generated Node #0,0,0: 54:[55, 27] Operation: 48-21=27
Exploring Operation: 55-21=34, Resulting Numbers: [48, 34]
Generated Node #0,0,1: 54:[48, 34] Operation: 55-21=34
Exploring Operation: 55-48=7, Resulting Numbers: [21, 7]
Generated Node #0,0,2: 54:[21, 7] Operation: 55-48=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[55, 27], Operations: ['89-41=48', '48-21=27']
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,54 unequal: No Solution
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,54 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 54:[21, 7], Operations: ['89-41=48', '55-48=7']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,54 unequal: No Solution
Exploring Operation: 21+7=28, Resulting Numbers: [28]
28,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[48, 34], Operations: ['89-41=48', '55-21=34']
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,54 unequal: No Solution
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,54 unequal: No Solution
Exploring Operation: 48*34=1632, Resulting Numbers: [1632]
1632,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 54:[41, 21, 34], Operations: ['89-55=34']
Exploring Operation: 21+34=55, Resulting Numbers: [41, 55]
Generated Node #0,1,0: 54:[41, 55] Operation: 21+34=55
Exploring Operation: 41-21=20, Resulting Numbers: [34, 20]
Generated Node #0,1,1: 54:[34, 20] Operation: 41-21=20
Exploring Operation: 41-34=7, Resulting Numbers: [21, 7]
Generated Node #0,1,2: 54:[21, 7] Operation: 41-34=7
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 54:[21, 7], Operations: ['89-55=34', '41-34=7']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 21+7=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[34, 20], Operations: ['89-55=34', '41-21=20']
Exploring Operation: 34*20=680, Resulting Numbers: [680]
680,54 unequal: No Solution
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[41, 89, 21, 55], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [41, 21, 34]
Generated Node #0,1: 54:[41, 21, 34] Operation: 89-55=34
Moving to Node #0,1
Current State: 54:[41, 21, 34], Operations: ['89-55=34']
Exploring Operation: 41-21=20, Resulting Numbers: [34, 20]
Generated Node #0,1,1: 54:[34, 20] Operation: 41-21=20
Moving to Node #0,1,1
Current State: 54:[34, 20], Operations: ['89-55=34', '41-21=20']
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 |
hs_3
|
mult_heuristic
|
[
45,
81,
65,
55
] | 84 |
[
"81-45=36",
"65+55=120",
"120-36=84"
] |
Current State: 84:[45, 81, 65, 55], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [65, 55, 36]
Generated Node #2: [65, 55, 36] from Operation: 81-45=36
Current State: 84:[65, 55, 36], Operations: ['81-45=36']
Exploring Operation: 65+55=120, Resulting Numbers: [36, 120]
Generated Node #3: [36, 120] from Operation: 65+55=120
Current State: 84:[36, 120], Operations: ['81-45=36', '65+55=120']
Exploring Operation: 120-36=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[45, 81, 65, 55], Operations: []
Exploring Operation: 81-65=16, Resulting Numbers: [45, 55, 16]
Generated Node #0,0: 84:[45, 55, 16] Operation: 81-65=16
Exploring Operation: 55-45=10, Resulting Numbers: [81, 65, 10]
Generated Node #0,1: 84:[81, 65, 10] Operation: 55-45=10
Exploring Operation: 65-45=20, Resulting Numbers: [81, 55, 20]
Generated Node #0,2: 84:[81, 55, 20] Operation: 65-45=20
Exploring Operation: 65-55=10, Resulting Numbers: [45, 81, 10]
Generated Node #0,3: 84:[45, 81, 10] Operation: 65-55=10
Moving to Node #0,3
Current State: 84:[45, 81, 10], Operations: ['65-55=10']
Exploring Operation: 81+10=91, Resulting Numbers: [45, 91]
Generated Node #0,3,0: 84:[45, 91] Operation: 81+10=91
Exploring Operation: 45+10=55, Resulting Numbers: [81, 55]
Generated Node #0,3,1: 84:[81, 55] Operation: 45+10=55
Exploring Operation: 45-10=35, Resulting Numbers: [81, 35]
Generated Node #0,3,2: 84:[81, 35] Operation: 45-10=35
Exploring Operation: 81-45=36, Resulting Numbers: [10, 36]
Generated Node #0,3,3: 84:[10, 36] Operation: 81-45=36
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 84:[10, 36], Operations: ['65-55=10', '81-45=36']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 84:[45, 91], Operations: ['65-55=10', '81+10=91']
Exploring Operation: 91-45=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 45*91=4095, Resulting Numbers: [4095]
4095,84 unequal: No Solution
Exploring Operation: 45+91=136, Resulting Numbers: [136]
136,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 84:[81, 35], Operations: ['65-55=10', '45-10=35']
Exploring Operation: 81+35=116, Resulting Numbers: [116]
116,84 unequal: No Solution
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 81*35=2835, Resulting Numbers: [2835]
2835,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 84:[81, 55], Operations: ['65-55=10', '45+10=55']
Exploring Operation: 81+55=136, Resulting Numbers: [136]
136,84 unequal: No Solution
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 81*55=4455, Resulting Numbers: [4455]
4455,84 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: 84:[81, 55, 20], Operations: ['65-45=20']
Exploring Operation: 55+20=75, Resulting Numbers: [81, 75]
Generated Node #0,2,0: 84:[81, 75] Operation: 55+20=75
Exploring Operation: 55-20=35, Resulting Numbers: [81, 35]
Generated Node #0,2,1: 84:[81, 35] Operation: 55-20=35
Exploring Operation: 81-55=26, Resulting Numbers: [20, 26]
Generated Node #0,2,2: 84:[20, 26] Operation: 81-55=26
Exploring Operation: 81+20=101, Resulting Numbers: [55, 101]
Generated Node #0,2,3: 84:[55, 101] Operation: 81+20=101
Moving to Node #0,0
Current State: 84:[45, 55, 16], Operations: ['81-65=16']
Exploring Operation: 55-45=10, Resulting Numbers: [16, 10]
Generated Node #0,0,0: 84:[16, 10] Operation: 55-45=10
Exploring Operation: 55-16=39, Resulting Numbers: [45, 39]
Generated Node #0,0,1: 84:[45, 39] Operation: 55-16=39
Exploring Operation: 55+16=71, Resulting Numbers: [45, 71]
Generated Node #0,0,2: 84:[45, 71] Operation: 55+16=71
Exploring Operation: 45-16=29, Resulting Numbers: [55, 29]
Generated Node #0,0,3: 84:[55, 29] Operation: 45-16=29
Moving to Node #0,1
Current State: 84:[81, 65, 10], Operations: ['55-45=10']
Exploring Operation: 65-10=55, Resulting Numbers: [81, 55]
Generated Node #0,1,0: 84:[81, 55] Operation: 65-10=55
Exploring Operation: 65+10=75, Resulting Numbers: [81, 75]
Generated Node #0,1,1: 84:[81, 75] Operation: 65+10=75
Exploring Operation: 81-65=16, Resulting Numbers: [10, 16]
Generated Node #0,1,2: 84:[10, 16] Operation: 81-65=16
Exploring Operation: 81+10=91, Resulting Numbers: [65, 91]
Generated Node #0,1,3: 84:[65, 91] Operation: 81+10=91
Moving to Node #0,2,2
Current State: 84:[20, 26], Operations: ['65-45=20', '81-55=26']
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[16, 10], Operations: ['81-65=16', '55-45=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[10, 16], Operations: ['55-45=10', '81-65=16']
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,84 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[45, 39], Operations: ['81-65=16', '55-16=39']
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 45*39=1755, Resulting Numbers: [1755]
1755,84 unequal: No Solution
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[45, 81, 65, 55], Operations: []
Exploring Operation: 81-65=16, Resulting Numbers: [45, 55, 16]
Generated Node #0,0: 84:[45, 55, 16] Operation: 81-65=16
Moving to Node #0,0
Current State: 84:[45, 55, 16], Operations: ['81-65=16']
Exploring Operation: 55-16=39, Resulting Numbers: [45, 39]
Generated Node #0,0,1: 84:[45, 39] Operation: 55-16=39
Moving to Node #0,0,1
Current State: 84:[45, 39], Operations: ['81-65=16', '55-16=39']
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.958333 |
hs_4
|
mult_heuristic
|
[
42,
71,
6,
78
] | 65 |
[
"78-42=36",
"36/6=6",
"71-6=65"
] |
Current State: 65:[42, 71, 6, 78], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [71, 6, 36]
Generated Node #2: [71, 6, 36] from Operation: 78-42=36
Current State: 65:[71, 6, 36], Operations: ['78-42=36']
Exploring Operation: 36/6=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 36/6=6
Current State: 65:[71, 6], Operations: ['78-42=36', '36/6=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[42, 71, 6, 78], Operations: []
Exploring Operation: 71-42=29, Resulting Numbers: [6, 78, 29]
Generated Node #0,0: 65:[6, 78, 29] Operation: 71-42=29
Exploring Operation: 78-71=7, Resulting Numbers: [42, 6, 7]
Generated Node #0,1: 65:[42, 6, 7] Operation: 78-71=7
Exploring Operation: 42/6=7, Resulting Numbers: [71, 78, 7]
Generated Node #0,2: 65:[71, 78, 7] Operation: 42/6=7
Exploring Operation: 78/6=13, Resulting Numbers: [42, 71, 13]
Generated Node #0,3: 65:[42, 71, 13] Operation: 78/6=13
Moving to Node #0,2
Current State: 65:[71, 78, 7], Operations: ['42/6=7']
Exploring Operation: 71+7=78, Resulting Numbers: [78, 78]
Generated Node #0,2,0: 65:[78, 78] Operation: 71+7=78
Exploring Operation: 78-7=71, Resulting Numbers: [71, 71]
Generated Node #0,2,1: 65:[71, 71] Operation: 78-7=71
Exploring Operation: 78-71=7, Resulting Numbers: [7, 7]
Generated Node #0,2,2: 65:[7, 7] Operation: 78-71=7
Exploring Operation: 71-7=64, Resulting Numbers: [78, 64]
Generated Node #0,2,3: 65:[78, 64] Operation: 71-7=64
Moving to Node #0,1
Current State: 65:[42, 6, 7], Operations: ['78-71=7']
Exploring Operation: 42+6=48, Resulting Numbers: [7, 48]
Generated Node #0,1,0: 65:[7, 48] Operation: 42+6=48
Exploring Operation: 42+7=49, Resulting Numbers: [6, 49]
Generated Node #0,1,1: 65:[6, 49] Operation: 42+7=49
Exploring Operation: 42/7=6, Resulting Numbers: [6, 6]
Generated Node #0,1,2: 65:[6, 6] Operation: 42/7=6
Exploring Operation: 42/6=7, Resulting Numbers: [7, 7]
Generated Node #0,1,3: 65:[7, 7] Operation: 42/6=7
Moving to Node #0,3
Current State: 65:[42, 71, 13], Operations: ['78/6=13']
Exploring Operation: 71-13=58, Resulting Numbers: [42, 58]
Generated Node #0,3,0: 65:[42, 58] Operation: 71-13=58
Exploring Operation: 42-13=29, Resulting Numbers: [71, 29]
Generated Node #0,3,1: 65:[71, 29] Operation: 42-13=29
Exploring Operation: 42+13=55, Resulting Numbers: [71, 55]
Generated Node #0,3,2: 65:[71, 55] Operation: 42+13=55
Exploring Operation: 71-42=29, Resulting Numbers: [13, 29]
Generated Node #0,3,3: 65:[13, 29] Operation: 71-42=29
Moving to Node #0,0
Current State: 65:[6, 78, 29], Operations: ['71-42=29']
Exploring Operation: 78-6=72, Resulting Numbers: [29, 72]
Generated Node #0,0,0: 65:[29, 72] Operation: 78-6=72
Exploring Operation: 78/6=13, Resulting Numbers: [29, 13]
Generated Node #0,0,1: 65:[29, 13] Operation: 78/6=13
Exploring Operation: 29-6=23, Resulting Numbers: [78, 23]
Generated Node #0,0,2: 65:[78, 23] Operation: 29-6=23
Exploring Operation: 78-29=49, Resulting Numbers: [6, 49]
Generated Node #0,0,3: 65:[6, 49] Operation: 78-29=49
Moving to Node #0,1,2
Current State: 65:[6, 6], Operations: ['78-71=7', '42/7=6']
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,65 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,65 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Moving to Node #0,1,3
Current State: 65:[7, 7], Operations: ['78-71=7', '42/6=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,65 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[7, 7], Operations: ['42/6=7', '78-71=7']
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[71, 71], Operations: ['42/6=7', '78-7=71']
Exploring Operation: 71+71=142, Resulting Numbers: [142]
142,65 unequal: No Solution
Exploring Operation: 71*71=5041, Resulting Numbers: [5041]
5041,65 unequal: No Solution
Exploring Operation: 71/71=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 71-71=0, Resulting Numbers: [0]
0,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[78, 64], Operations: ['42/6=7', '71-7=64']
Exploring Operation: 78+64=142, Resulting Numbers: [142]
142,65 unequal: No Solution
Exploring Operation: 78*64=4992, Resulting Numbers: [4992]
4992,65 unequal: No Solution
Exploring Operation: 78-64=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[29, 13], Operations: ['71-42=29', '78/6=13']
Exploring Operation: 29*13=377, Resulting Numbers: [377]
377,65 unequal: No Solution
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[13, 29], Operations: ['78/6=13', '71-42=29']
Exploring Operation: 13*29=377, Resulting Numbers: [377]
377,65 unequal: No Solution
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[71, 55], Operations: ['78/6=13', '42+13=55']
Exploring Operation: 71*55=3905, Resulting Numbers: [3905]
3905,65 unequal: No Solution
Exploring Operation: 71-55=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 71+55=126, Resulting Numbers: [126]
126,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[6, 49], Operations: ['78-71=7', '42+7=49']
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,65 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,65 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[6, 49], Operations: ['71-42=29', '78-29=49']
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,65 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[7, 48], Operations: ['78-71=7', '42+6=48']
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[71, 29], Operations: ['78/6=13', '42-13=29']
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,65 unequal: No Solution
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,65 unequal: No Solution
Exploring Operation: 71*29=2059, Resulting Numbers: [2059]
2059,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[29, 72], Operations: ['71-42=29', '78-6=72']
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,65 unequal: No Solution
Exploring Operation: 29+72=101, Resulting Numbers: [101]
101,65 unequal: No Solution
Exploring Operation: 29*72=2088, Resulting Numbers: [2088]
2088,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[78, 23], Operations: ['71-42=29', '29-6=23']
Exploring Operation: 78+23=101, Resulting Numbers: [101]
101,65 unequal: No Solution
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Exploring Operation: 78*23=1794, Resulting Numbers: [1794]
1794,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[78, 78], Operations: ['42/6=7', '71+7=78']
Exploring Operation: 78/78=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 78-78=0, Resulting Numbers: [0]
0,65 unequal: No Solution
Exploring Operation: 78+78=156, Resulting Numbers: [156]
156,65 unequal: No Solution
Exploring Operation: 78*78=6084, Resulting Numbers: [6084]
6084,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[42, 58], Operations: ['78/6=13', '71-13=58']
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 42+58=100, Resulting Numbers: [100]
100,65 unequal: No Solution
Exploring Operation: 42*58=2436, Resulting Numbers: [2436]
2436,65 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
52,
52,
9,
88
] | 79 |
[
"52-52=0",
"88-9=79",
"0+79=79"
] |
Current State: 79:[52, 52, 9, 88], Operations: []
Exploring Operation: 52-52=0, Resulting Numbers: [9, 88, 0]
Generated Node #2: [9, 88, 0] from Operation: 52-52=0
Current State: 79:[9, 88, 0], Operations: ['52-52=0']
Exploring Operation: 88-9=79, Resulting Numbers: [0, 79]
Generated Node #3: [0, 79] from Operation: 88-9=79
Current State: 79:[0, 79], Operations: ['52-52=0', '88-9=79']
Exploring Operation: 0+79=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[52, 52, 9, 88], Operations: []
Exploring Operation: 52-9=43, Resulting Numbers: [52, 88, 43]
Generated Node #0,0: 79:[52, 88, 43] Operation: 52-9=43
Exploring Operation: 52+9=61, Resulting Numbers: [52, 88, 61]
Generated Node #0,1: 79:[52, 88, 61] Operation: 52+9=61
Exploring Operation: 52-9=43, Resulting Numbers: [52, 88, 43]
Generated Node #0,2: 79:[52, 88, 43] Operation: 52-9=43
Exploring Operation: 88-9=79, Resulting Numbers: [52, 52, 79]
Generated Node #0,3: 79:[52, 52, 79] Operation: 88-9=79
Exploring Operation: 52+9=61, Resulting Numbers: [52, 88, 61]
Generated Node #0,4: 79:[52, 88, 61] Operation: 52+9=61
Moving to Node #0,1
Current State: 79:[52, 88, 61], Operations: ['52+9=61']
Exploring Operation: 88-52=36, Resulting Numbers: [61, 36]
Generated Node #0,1,0: 79:[61, 36] Operation: 88-52=36
Exploring Operation: 88-61=27, Resulting Numbers: [52, 27]
Generated Node #0,1,1: 79:[52, 27] Operation: 88-61=27
Exploring Operation: 52+61=113, Resulting Numbers: [88, 113]
Generated Node #0,1,2: 79:[88, 113] Operation: 52+61=113
Exploring Operation: 61-52=9, Resulting Numbers: [88, 9]
Generated Node #0,1,3: 79:[88, 9] Operation: 61-52=9
Exploring Operation: 52+88=140, Resulting Numbers: [61, 140]
Generated Node #0,1,4: 79:[61, 140] Operation: 52+88=140
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[88, 113], Operations: ['52+9=61', '52+61=113']
Exploring Operation: 88*113=9944, Resulting Numbers: [9944]
9944,79 unequal: No Solution
Exploring Operation: 88+113=201, Resulting Numbers: [201]
201,79 unequal: No Solution
Exploring Operation: 113-88=25, Resulting Numbers: [25]
25,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[61, 36], Operations: ['52+9=61', '88-52=36']
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,79 unequal: No Solution
Exploring Operation: 61*36=2196, Resulting Numbers: [2196]
2196,79 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[52, 27], Operations: ['52+9=61', '88-61=27']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,79 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[52, 52, 9, 88], Operations: []
Exploring Operation: 52+9=61, Resulting Numbers: [52, 88, 61]
Generated Node #0,1: 79:[52, 88, 61] Operation: 52+9=61
Moving to Node #0,1
Current State: 79:[52, 88, 61], Operations: ['52+9=61']
Exploring Operation: 88-61=27, Resulting Numbers: [52, 27]
Generated Node #0,1,1: 79:[52, 27] Operation: 88-61=27
Moving to Node #0,1,1
Current State: 79:[52, 27], Operations: ['52+9=61', '88-61=27']
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 |
hs_5
|
mult_heuristic
|
[
91,
77,
4,
44
] | 12 |
[
"91-77=14",
"4*14=56",
"56-44=12"
] |
Current State: 12:[91, 77, 4, 44], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [4, 44, 14]
Generated Node #2: [4, 44, 14] from Operation: 91-77=14
Current State: 12:[4, 44, 14], Operations: ['91-77=14']
Exploring Operation: 4*14=56, Resulting Numbers: [44, 56]
Generated Node #3: [44, 56] from Operation: 4*14=56
Current State: 12:[44, 56], Operations: ['91-77=14', '4*14=56']
Exploring Operation: 56-44=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
Current State: 12:[91, 77, 4, 44], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [91, 77, 11]
Generated Node #0,0: 12:[91, 77, 11] Operation: 44/4=11
Exploring Operation: 91-44=47, Resulting Numbers: [77, 4, 47]
Generated Node #0,1: 12:[77, 4, 47] Operation: 91-44=47
Exploring Operation: 77-44=33, Resulting Numbers: [91, 4, 33]
Generated Node #0,2: 12:[91, 4, 33] Operation: 77-44=33
Exploring Operation: 91-77=14, Resulting Numbers: [4, 44, 14]
Generated Node #0,3: 12:[4, 44, 14] Operation: 91-77=14
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[4, 44, 14], Operations: ['91-77=14']
Exploring Operation: 44-14=30, Resulting Numbers: [4, 30]
Generated Node #0,3,0: 12:[4, 30] Operation: 44-14=30
Exploring Operation: 44-4=40, Resulting Numbers: [14, 40]
Generated Node #0,3,1: 12:[14, 40] Operation: 44-4=40
Exploring Operation: 14-4=10, Resulting Numbers: [44, 10]
Generated Node #0,3,2: 12:[44, 10] Operation: 14-4=10
Exploring Operation: 44/4=11, Resulting Numbers: [14, 11]
Generated Node #0,3,3: 12:[14, 11] Operation: 44/4=11
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 12:[14, 11], Operations: ['91-77=14', '44/4=11']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 12:[4, 30], Operations: ['91-77=14', '44-14=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,12 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,12 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 12:[14, 40], Operations: ['91-77=14', '44-4=40']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Exploring Operation: 14*40=560, Resulting Numbers: [560]
560,12 unequal: No Solution
Exploring Operation: 14+40=54, Resulting Numbers: [54]
54,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 12:[44, 10], Operations: ['91-77=14', '14-4=10']
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 44*10=440, Resulting Numbers: [440]
440,12 unequal: No Solution
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[77, 4, 47], Operations: ['91-44=47']
Exploring Operation: 77-4=73, Resulting Numbers: [47, 73]
Generated Node #0,1,0: 12:[47, 73] Operation: 77-4=73
Exploring Operation: 47-4=43, Resulting Numbers: [77, 43]
Generated Node #0,1,1: 12:[77, 43] Operation: 47-4=43
Exploring Operation: 77+4=81, Resulting Numbers: [47, 81]
Generated Node #0,1,2: 12:[47, 81] Operation: 77+4=81
Exploring Operation: 77-47=30, Resulting Numbers: [4, 30]
Generated Node #0,1,3: 12:[4, 30] Operation: 77-47=30
Moving to Node #0,1,3
Current State: 12:[4, 30], Operations: ['91-44=47', '77-47=30']
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,12 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,12 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[77, 43], Operations: ['91-44=47', '47-4=43']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,12 unequal: No Solution
Exploring Operation: 77*43=3311, Resulting Numbers: [3311]
3311,12 unequal: No Solution
Exploring Operation: 77+43=120, Resulting Numbers: [120]
120,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[47, 73], Operations: ['91-44=47', '77-4=73']
Exploring Operation: 47+73=120, Resulting Numbers: [120]
120,12 unequal: No Solution
Exploring Operation: 47*73=3431, Resulting Numbers: [3431]
3431,12 unequal: No Solution
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[47, 81], Operations: ['91-44=47', '77+4=81']
Exploring Operation: 47*81=3807, Resulting Numbers: [3807]
3807,12 unequal: No Solution
Exploring Operation: 47+81=128, Resulting Numbers: [128]
128,12 unequal: No Solution
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[91, 4, 33], Operations: ['77-44=33']
Exploring Operation: 91-4=87, Resulting Numbers: [33, 87]
Generated Node #0,2,0: 12:[33, 87] Operation: 91-4=87
Exploring Operation: 33-4=29, Resulting Numbers: [91, 29]
Generated Node #0,2,1: 12:[91, 29] Operation: 33-4=29
Exploring Operation: 91-33=58, Resulting Numbers: [4, 58]
Generated Node #0,2,2: 12:[4, 58] Operation: 91-33=58
Exploring Operation: 91+4=95, Resulting Numbers: [33, 95]
Generated Node #0,2,3: 12:[33, 95] Operation: 91+4=95
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 12:[4, 58], Operations: ['77-44=33', '91-33=58']
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,12 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 4*58=232, Resulting Numbers: [232]
232,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 12:[33, 87], Operations: ['77-44=33', '91-4=87']
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 33*87=2871, Resulting Numbers: [2871]
2871,12 unequal: No Solution
Exploring Operation: 33+87=120, Resulting Numbers: [120]
120,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 12:[91, 29], Operations: ['77-44=33', '33-4=29']
Exploring Operation: 91*29=2639, Resulting Numbers: [2639]
2639,12 unequal: No Solution
Exploring Operation: 91+29=120, Resulting Numbers: [120]
120,12 unequal: No Solution
Exploring Operation: 91-29=62, Resulting Numbers: [62]
62,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 12:[33, 95], Operations: ['77-44=33', '91+4=95']
Exploring Operation: 33*95=3135, Resulting Numbers: [3135]
3135,12 unequal: No Solution
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,12 unequal: No Solution
Exploring Operation: 33+95=128, Resulting Numbers: [128]
128,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[91, 77, 11], Operations: ['44/4=11']
Exploring Operation: 77-11=66, Resulting Numbers: [91, 66]
Generated Node #0,0,0: 12:[91, 66] Operation: 77-11=66
Exploring Operation: 91-77=14, Resulting Numbers: [11, 14]
Generated Node #0,0,1: 12:[11, 14] Operation: 91-77=14
Exploring Operation: 91-11=80, Resulting Numbers: [77, 80]
Generated Node #0,0,2: 12:[77, 80] Operation: 91-11=80
Exploring Operation: 77/11=7, Resulting Numbers: [91, 7]
Generated Node #0,0,3: 12:[91, 7] Operation: 77/11=7
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 12:[11, 14], Operations: ['44/4=11', '91-77=14']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 12:[91, 7], Operations: ['44/4=11', '77/11=7']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,12 unequal: No Solution
Exploring Operation: 91*7=637, Resulting Numbers: [637]
637,12 unequal: No Solution
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[91, 66], Operations: ['44/4=11', '77-11=66']
Exploring Operation: 91*66=6006, Resulting Numbers: [6006]
6006,12 unequal: No Solution
Exploring Operation: 91-66=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 91+66=157, Resulting Numbers: [157]
157,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 12:[77, 80], Operations: ['44/4=11', '91-11=80']
Exploring Operation: 77+80=157, Resulting Numbers: [157]
157,12 unequal: No Solution
Exploring Operation: 80-77=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 77*80=6160, Resulting Numbers: [6160]
6160,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
33,
21,
18,
49
] | 13 |
[
"33+21=54",
"18+49=67",
"67-54=13"
] |
Current State: 13:[33, 21, 18, 49], Operations: []
Exploring Operation: 33+21=54, Resulting Numbers: [18, 49, 54]
Generated Node #2: [18, 49, 54] from Operation: 33+21=54
Current State: 13:[18, 49, 54], Operations: ['33+21=54']
Exploring Operation: 18+49=67, Resulting Numbers: [54, 67]
Generated Node #3: [54, 67] from Operation: 18+49=67
Current State: 13:[54, 67], Operations: ['33+21=54', '18+49=67']
Exploring Operation: 67-54=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
Current State: 13:[33, 21, 18, 49], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [21, 18, 16]
Generated Node #0,0: 13:[21, 18, 16] Operation: 49-33=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[21, 18, 16], Operations: ['49-33=16']
Exploring Operation: 21-18=3, Resulting Numbers: [16, 3]
Generated Node #0,0,0: 13:[16, 3] Operation: 21-18=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 13:[16, 3], Operations: ['49-33=16', '21-18=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[33, 21, 18, 49], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [21, 18, 16]
Generated Node #0,0: 13:[21, 18, 16] Operation: 49-33=16
Moving to Node #0,0
Current State: 13:[21, 18, 16], Operations: ['49-33=16']
Exploring Operation: 21-18=3, Resulting Numbers: [16, 3]
Generated Node #0,0,0: 13:[16, 3] Operation: 21-18=3
Moving to Node #0,0,0
Current State: 13:[16, 3], Operations: ['49-33=16', '21-18=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
83,
6,
95,
92
] | 81 |
[
"95-92=3",
"6/3=2",
"83-2=81"
] |
Current State: 81:[83, 6, 95, 92], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [83, 6, 3]
Generated Node #2: [83, 6, 3] from Operation: 95-92=3
Current State: 81:[83, 6, 3], Operations: ['95-92=3']
Exploring Operation: 6/3=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 6/3=2
Current State: 81:[83, 2], Operations: ['95-92=3', '6/3=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[83, 6, 95, 92], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [6, 95, 9]
Generated Node #0,0: 81:[6, 95, 9] Operation: 92-83=9
Exploring Operation: 95-92=3, Resulting Numbers: [83, 6, 3]
Generated Node #0,1: 81:[83, 6, 3] Operation: 95-92=3
Exploring Operation: 95-83=12, Resulting Numbers: [6, 92, 12]
Generated Node #0,2: 81:[6, 92, 12] Operation: 95-83=12
Exploring Operation: 95-6=89, Resulting Numbers: [83, 92, 89]
Generated Node #0,3: 81:[83, 92, 89] Operation: 95-6=89
Exploring Operation: 92-6=86, Resulting Numbers: [83, 95, 86]
Generated Node #0,4: 81:[83, 95, 86] Operation: 92-6=86
Moving to Node #0,1
Current State: 81:[83, 6, 3], Operations: ['95-92=3']
Exploring Operation: 6-3=3, Resulting Numbers: [83, 3]
Generated Node #0,1,0: 81:[83, 3] Operation: 6-3=3
Exploring Operation: 6+3=9, Resulting Numbers: [83, 9]
Generated Node #0,1,1: 81:[83, 9] Operation: 6+3=9
Exploring Operation: 83-3=80, Resulting Numbers: [6, 80]
Generated Node #0,1,2: 81:[6, 80] Operation: 83-3=80
Exploring Operation: 83-6=77, Resulting Numbers: [3, 77]
Generated Node #0,1,3: 81:[3, 77] Operation: 83-6=77
Exploring Operation: 6/3=2, Resulting Numbers: [83, 2]
Generated Node #0,1,4: 81:[83, 2] Operation: 6/3=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[83, 3], Operations: ['95-92=3', '6-3=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,81 unequal: No Solution
Exploring Operation: 83*3=249, Resulting Numbers: [249]
249,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[83, 9], Operations: ['95-92=3', '6+3=9']
Exploring Operation: 83*9=747, Resulting Numbers: [747]
747,81 unequal: No Solution
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,81 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 81:[83, 2], Operations: ['95-92=3', '6/3=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,81 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[83, 6, 95, 92], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [83, 6, 3]
Generated Node #0,1: 81:[83, 6, 3] Operation: 95-92=3
Moving to Node #0,1
Current State: 81:[83, 6, 3], Operations: ['95-92=3']
Exploring Operation: 6/3=2, Resulting Numbers: [83, 2]
Generated Node #0,1,4: 81:[83, 2] Operation: 6/3=2
Moving to Node #0,1,4
Current State: 81:[83, 2], Operations: ['95-92=3', '6/3=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 |
hs_5
|
mult_heuristic
|
[
5,
2,
47,
12
] | 34 |
[
"5*12=60",
"2*47=94",
"94-60=34"
] |
Current State: 34:[5, 2, 47, 12], Operations: []
Exploring Operation: 5*12=60, Resulting Numbers: [2, 47, 60]
Generated Node #2: [2, 47, 60] from Operation: 5*12=60
Current State: 34:[2, 47, 60], Operations: ['5*12=60']
Exploring Operation: 2*47=94, Resulting Numbers: [60, 94]
Generated Node #3: [60, 94] from Operation: 2*47=94
Current State: 34:[60, 94], Operations: ['5*12=60', '2*47=94']
Exploring Operation: 94-60=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[5, 2, 47, 12], Operations: []
Exploring Operation: 47-12=35, Resulting Numbers: [5, 2, 35]
Generated Node #0,0: 34:[5, 2, 35] Operation: 47-12=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[5, 2, 35], Operations: ['47-12=35']
Exploring Operation: 5-2=3, Resulting Numbers: [35, 3]
Generated Node #0,0,0: 34:[35, 3] Operation: 5-2=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 34:[35, 3], Operations: ['47-12=35', '5-2=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
49,
83,
37,
72
] | 23 |
[
"49+83=132",
"37+72=109",
"132-109=23"
] |
Current State: 23:[49, 83, 37, 72], Operations: []
Exploring Operation: 49+83=132, Resulting Numbers: [37, 72, 132]
Generated Node #2: [37, 72, 132] from Operation: 49+83=132
Current State: 23:[37, 72, 132], Operations: ['49+83=132']
Exploring Operation: 37+72=109, Resulting Numbers: [132, 109]
Generated Node #3: [132, 109] from Operation: 37+72=109
Current State: 23:[132, 109], Operations: ['49+83=132', '37+72=109']
Exploring Operation: 132-109=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[49, 83, 37, 72], Operations: []
Exploring Operation: 83-49=34, Resulting Numbers: [37, 72, 34]
Generated Node #0,0: 23:[37, 72, 34] Operation: 83-49=34
Exploring Operation: 83-72=11, Resulting Numbers: [49, 37, 11]
Generated Node #0,1: 23:[49, 37, 11] Operation: 83-72=11
Exploring Operation: 83-37=46, Resulting Numbers: [49, 72, 46]
Generated Node #0,2: 23:[49, 72, 46] Operation: 83-37=46
Exploring Operation: 72-49=23, Resulting Numbers: [83, 37, 23]
Generated Node #0,3: 23:[83, 37, 23] Operation: 72-49=23
Moving to Node #0,1
Current State: 23:[49, 37, 11], Operations: ['83-72=11']
Exploring Operation: 49+11=60, Resulting Numbers: [37, 60]
Generated Node #0,1,0: 23:[37, 60] Operation: 49+11=60
Exploring Operation: 49-11=38, Resulting Numbers: [37, 38]
Generated Node #0,1,1: 23:[37, 38] Operation: 49-11=38
Exploring Operation: 49-37=12, Resulting Numbers: [11, 12]
Generated Node #0,1,2: 23:[11, 12] Operation: 49-37=12
Exploring Operation: 37-11=26, Resulting Numbers: [49, 26]
Generated Node #0,1,3: 23:[49, 26] Operation: 37-11=26
Moving to Node #0,3
Current State: 23:[83, 37, 23], Operations: ['72-49=23']
Exploring Operation: 83+37=120, Resulting Numbers: [23, 120]
Generated Node #0,3,0: 23:[23, 120] Operation: 83+37=120
Exploring Operation: 37-23=14, Resulting Numbers: [83, 14]
Generated Node #0,3,1: 23:[83, 14] Operation: 37-23=14
Exploring Operation: 83-23=60, Resulting Numbers: [37, 60]
Generated Node #0,3,2: 23:[37, 60] Operation: 83-23=60
Exploring Operation: 83-37=46, Resulting Numbers: [23, 46]
Generated Node #0,3,3: 23:[23, 46] Operation: 83-37=46
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 23:[23, 46], Operations: ['72-49=23', '83-37=46']
Exploring Operation: 23*46=1058, Resulting Numbers: [1058]
1058,23 unequal: No Solution
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[49, 83, 37, 72], Operations: []
Exploring Operation: 72-49=23, Resulting Numbers: [83, 37, 23]
Generated Node #0,3: 23:[83, 37, 23] Operation: 72-49=23
Moving to Node #0,3
Current State: 23:[83, 37, 23], Operations: ['72-49=23']
Exploring Operation: 83-37=46, Resulting Numbers: [23, 46]
Generated Node #0,3,3: 23:[23, 46] Operation: 83-37=46
Moving to Node #0,3,3
Current State: 23:[23, 46], Operations: ['72-49=23', '83-37=46']
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_4
|
mult_heuristic
|
[
25,
77,
46,
68
] | 80 |
[
"25+77=102",
"68-46=22",
"102-22=80"
] |
Current State: 80:[25, 77, 46, 68], Operations: []
Exploring Operation: 25+77=102, Resulting Numbers: [46, 68, 102]
Generated Node #2: [46, 68, 102] from Operation: 25+77=102
Current State: 80:[46, 68, 102], Operations: ['25+77=102']
Exploring Operation: 68-46=22, Resulting Numbers: [102, 22]
Generated Node #3: [102, 22] from Operation: 68-46=22
Current State: 80:[102, 22], Operations: ['25+77=102', '68-46=22']
Exploring Operation: 102-22=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[25, 77, 46, 68], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [25, 77, 22]
Generated Node #0,0: 80:[25, 77, 22] Operation: 68-46=22
Exploring Operation: 68-25=43, Resulting Numbers: [77, 46, 43]
Generated Node #0,1: 80:[77, 46, 43] Operation: 68-25=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[25, 77, 22], Operations: ['68-46=22']
Exploring Operation: 25+22=47, Resulting Numbers: [77, 47]
Generated Node #0,0,0: 80:[77, 47] Operation: 25+22=47
Exploring Operation: 25-22=3, Resulting Numbers: [77, 3]
Generated Node #0,0,1: 80:[77, 3] Operation: 25-22=3
Moving to Node #0,0,1
Current State: 80:[77, 3], Operations: ['68-46=22', '25-22=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[25, 77, 46, 68], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [25, 77, 22]
Generated Node #0,0: 80:[25, 77, 22] Operation: 68-46=22
Moving to Node #0,0
Current State: 80:[25, 77, 22], Operations: ['68-46=22']
Exploring Operation: 25-22=3, Resulting Numbers: [77, 3]
Generated Node #0,0,1: 80:[77, 3] Operation: 25-22=3
Moving to Node #0,0,1
Current State: 80:[77, 3], Operations: ['68-46=22', '25-22=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
mult_heuristic
|
[
54,
36,
75,
87
] | 17 |
[
"36*87=3132",
"3132/54=58",
"75-58=17"
] |
Current State: 17:[54, 36, 75, 87], Operations: []
Exploring Operation: 36*87=3132, Resulting Numbers: [54, 75, 3132]
Generated Node #2: [54, 75, 3132] from Operation: 36*87=3132
Current State: 17:[54, 75, 3132], Operations: ['36*87=3132']
Exploring Operation: 3132/54=58, Resulting Numbers: [75, 58]
Generated Node #3: [75, 58] from Operation: 3132/54=58
Current State: 17:[75, 58], Operations: ['36*87=3132', '3132/54=58']
Exploring Operation: 75-58=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[54, 36, 75, 87], Operations: []
Exploring Operation: 87-75=12, Resulting Numbers: [54, 36, 12]
Generated Node #0,0: 17:[54, 36, 12] Operation: 87-75=12
Moving to Node #0,0
Current State: 17:[54, 36, 12], Operations: ['87-75=12']
Exploring Operation: 54-36=18, Resulting Numbers: [12, 18]
Generated Node #0,0,0: 17:[12, 18] Operation: 54-36=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[12, 18], Operations: ['87-75=12', '54-36=18']
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,17 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
|
[
88,
70,
61,
90
] | 78 |
[
"70-61=9",
"90/9=10",
"88-10=78"
] |
Current State: 78:[88, 70, 61, 90], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [88, 90, 9]
Generated Node #2: [88, 90, 9] from Operation: 70-61=9
Current State: 78:[88, 90, 9], Operations: ['70-61=9']
Exploring Operation: 90/9=10, Resulting Numbers: [88, 10]
Generated Node #3: [88, 10] from Operation: 90/9=10
Current State: 78:[88, 10], Operations: ['70-61=9', '90/9=10']
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[88, 70, 61, 90], Operations: []
Exploring Operation: 88-61=27, Resulting Numbers: [70, 90, 27]
Generated Node #0,0: 78:[70, 90, 27] Operation: 88-61=27
Moving to Node #0,0
Current State: 78:[70, 90, 27], Operations: ['88-61=27']
Exploring Operation: 90-70=20, Resulting Numbers: [27, 20]
Generated Node #0,0,0: 78:[27, 20] Operation: 90-70=20
Moving to Node #0,0,0
Current State: 78:[27, 20], Operations: ['88-61=27', '90-70=20']
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,78 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
45,
42,
72,
64
] | 96 |
[
"45*64=2880",
"72-42=30",
"2880/30=96"
] |
Current State: 96:[45, 42, 72, 64], Operations: []
Exploring Operation: 45*64=2880, Resulting Numbers: [42, 72, 2880]
Generated Node #2: [42, 72, 2880] from Operation: 45*64=2880
Current State: 96:[42, 72, 2880], Operations: ['45*64=2880']
Exploring Operation: 72-42=30, Resulting Numbers: [2880, 30]
Generated Node #3: [2880, 30] from Operation: 72-42=30
Current State: 96:[2880, 30], Operations: ['45*64=2880', '72-42=30']
Exploring Operation: 2880/30=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[45, 42, 72, 64], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [45, 42, 8]
Generated Node #0,0: 96:[45, 42, 8] Operation: 72-64=8
Moving to Node #0,0
Current State: 96:[45, 42, 8], Operations: ['72-64=8']
Exploring Operation: 45-42=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 96:[8, 3] Operation: 45-42=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[8, 3], Operations: ['72-64=8', '45-42=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,96 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
|
[
27,
42,
92,
13
] | 64 |
[
"42-27=15",
"92-13=79",
"79-15=64"
] |
Current State: 64:[27, 42, 92, 13], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [92, 13, 15]
Generated Node #2: [92, 13, 15] from Operation: 42-27=15
Current State: 64:[92, 13, 15], Operations: ['42-27=15']
Exploring Operation: 92-13=79, Resulting Numbers: [15, 79]
Generated Node #3: [15, 79] from Operation: 92-13=79
Current State: 64:[15, 79], Operations: ['42-27=15', '92-13=79']
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
Current State: 64:[27, 42, 92, 13], Operations: []
Exploring Operation: 92-27=65, Resulting Numbers: [42, 13, 65]
Generated Node #0,0: 64:[42, 13, 65] Operation: 92-27=65
Moving to Node #0,0
Current State: 64:[42, 13, 65], Operations: ['92-27=65']
Exploring Operation: 42-13=29, Resulting Numbers: [65, 29]
Generated Node #0,0,0: 64:[65, 29] Operation: 42-13=29
Moving to Node #0,0,0
Current State: 64:[65, 29], Operations: ['92-27=65', '42-13=29']
Exploring Operation: 65-29=36, Resulting Numbers: [36]
36,64 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
20,
72,
19,
3
] | 75 |
[
"20-19=1",
"72+3=75",
"1*75=75"
] |
Current State: 75:[20, 72, 19, 3], Operations: []
Exploring Operation: 20-19=1, Resulting Numbers: [72, 3, 1]
Generated Node #2: [72, 3, 1] from Operation: 20-19=1
Current State: 75:[72, 3, 1], Operations: ['20-19=1']
Exploring Operation: 72+3=75, Resulting Numbers: [1, 75]
Generated Node #3: [1, 75] from Operation: 72+3=75
Current State: 75:[1, 75], Operations: ['20-19=1', '72+3=75']
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[20, 72, 19, 3], Operations: []
Exploring Operation: 20-19=1, Resulting Numbers: [72, 3, 1]
Generated Node #0,0: 75:[72, 3, 1] Operation: 20-19=1
Exploring Operation: 20+3=23, Resulting Numbers: [72, 19, 23]
Generated Node #0,1: 75:[72, 19, 23] Operation: 20+3=23
Exploring Operation: 20-3=17, Resulting Numbers: [72, 19, 17]
Generated Node #0,2: 75:[72, 19, 17] Operation: 20-3=17
Moving to Node #0,0
Current State: 75:[72, 3, 1], Operations: ['20-19=1']
Exploring Operation: 72+3=75, Resulting Numbers: [1, 75]
Generated Node #0,0,0: 75:[1, 75] Operation: 72+3=75
Exploring Operation: 72+1=73, Resulting Numbers: [3, 73]
Generated Node #0,0,1: 75:[3, 73] Operation: 72+1=73
Exploring Operation: 72/3=24, Resulting Numbers: [1, 24]
Generated Node #0,0,2: 75:[1, 24] Operation: 72/3=24
Moving to Node #0,1
Current State: 75:[72, 19, 23], Operations: ['20+3=23']
Exploring Operation: 19+23=42, Resulting Numbers: [72, 42]
Generated Node #0,1,0: 75:[72, 42] Operation: 19+23=42
Exploring Operation: 23-19=4, Resulting Numbers: [72, 4]
Generated Node #0,1,1: 75:[72, 4] Operation: 23-19=4
Exploring Operation: 72+19=91, Resulting Numbers: [23, 91]
Generated Node #0,1,2: 75:[23, 91] Operation: 72+19=91
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[72, 4], Operations: ['20+3=23', '23-19=4']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 75:[23, 91], Operations: ['20+3=23', '72+19=91']
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Exploring Operation: 23*91=2093, Resulting Numbers: [2093]
2093,75 unequal: No Solution
Exploring Operation: 23+91=114, Resulting Numbers: [114]
114,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[72, 42], Operations: ['20+3=23', '19+23=42']
Exploring Operation: 72+42=114, Resulting Numbers: [114]
114,75 unequal: No Solution
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,75 unequal: No Solution
Exploring Operation: 72*42=3024, Resulting Numbers: [3024]
3024,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 75:[72, 19, 17], Operations: ['20-3=17']
Exploring Operation: 19+17=36, Resulting Numbers: [72, 36]
Generated Node #0,2,0: 75:[72, 36] Operation: 19+17=36
Exploring Operation: 72+19=91, Resulting Numbers: [17, 91]
Generated Node #0,2,1: 75:[17, 91] Operation: 72+19=91
Exploring Operation: 19-17=2, Resulting Numbers: [72, 2]
Generated Node #0,2,2: 75:[72, 2] Operation: 19-17=2
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 75:[72, 2], Operations: ['20-3=17', '19-17=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 75:[72, 36], Operations: ['20-3=17', '19+17=36']
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 75:[17, 91], Operations: ['20-3=17', '72+19=91']
Exploring Operation: 17*91=1547, Resulting Numbers: [1547]
1547,75 unequal: No Solution
Exploring Operation: 17+91=108, Resulting Numbers: [108]
108,75 unequal: No Solution
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,75 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: 75:[1, 75], Operations: ['20-19=1', '72+3=75']
Exploring Operation: 1+75=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[20, 72, 19, 3], Operations: []
Exploring Operation: 20-19=1, Resulting Numbers: [72, 3, 1]
Generated Node #0,0: 75:[72, 3, 1] Operation: 20-19=1
Moving to Node #0,0
Current State: 75:[72, 3, 1], Operations: ['20-19=1']
Exploring Operation: 72+3=75, Resulting Numbers: [1, 75]
Generated Node #0,0,0: 75:[1, 75] Operation: 72+3=75
Moving to Node #0,0,0
Current State: 75:[1, 75], Operations: ['20-19=1', '72+3=75']
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.96875 |
hs_3
|
mult_heuristic
|
[
40,
3,
77,
59
] | 94 |
[
"77-59=18",
"3*18=54",
"40+54=94"
] |
Current State: 94:[40, 3, 77, 59], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [40, 3, 18]
Generated Node #2: [40, 3, 18] from Operation: 77-59=18
Current State: 94:[40, 3, 18], Operations: ['77-59=18']
Exploring Operation: 3*18=54, Resulting Numbers: [40, 54]
Generated Node #3: [40, 54] from Operation: 3*18=54
Current State: 94:[40, 54], Operations: ['77-59=18', '3*18=54']
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[40, 3, 77, 59], Operations: []
Exploring Operation: 77-40=37, Resulting Numbers: [3, 59, 37]
Generated Node #0,0: 94:[3, 59, 37] Operation: 77-40=37
Moving to Node #0,0
Current State: 94:[3, 59, 37], Operations: ['77-40=37']
Exploring Operation: 59+37=96, Resulting Numbers: [3, 96]
Generated Node #0,0,0: 94:[3, 96] Operation: 59+37=96
Moving to Node #0,0,0
Current State: 94:[3, 96], Operations: ['77-40=37', '59+37=96']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,94 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
99,
15,
16,
12
] | 51 |
[
"15-12=3",
"16*3=48",
"99-48=51"
] |
Current State: 51:[99, 15, 16, 12], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [99, 16, 3]
Generated Node #2: [99, 16, 3] from Operation: 15-12=3
Current State: 51:[99, 16, 3], Operations: ['15-12=3']
Exploring Operation: 16*3=48, Resulting Numbers: [99, 48]
Generated Node #3: [99, 48] from Operation: 16*3=48
Current State: 51:[99, 48], Operations: ['15-12=3', '16*3=48']
Exploring Operation: 99-48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[99, 15, 16, 12], Operations: []
Exploring Operation: 99-15=84, Resulting Numbers: [16, 12, 84]
Generated Node #0,0: 51:[16, 12, 84] Operation: 99-15=84
Moving to Node #0,0
Current State: 51:[16, 12, 84], Operations: ['99-15=84']
Exploring Operation: 84/12=7, Resulting Numbers: [16, 7]
Generated Node #0,0,0: 51:[16, 7] Operation: 84/12=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[16, 7], Operations: ['99-15=84', '84/12=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,51 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
|
[
26,
47,
10,
14
] | 51 |
[
"26+14=40",
"40/10=4",
"47+4=51"
] |
Current State: 51:[26, 47, 10, 14], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [47, 10, 40]
Generated Node #2: [47, 10, 40] from Operation: 26+14=40
Current State: 51:[47, 10, 40], Operations: ['26+14=40']
Exploring Operation: 40/10=4, Resulting Numbers: [47, 4]
Generated Node #3: [47, 4] from Operation: 40/10=4
Current State: 51:[47, 4], Operations: ['26+14=40', '40/10=4']
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[26, 47, 10, 14], Operations: []
Exploring Operation: 26-10=16, Resulting Numbers: [47, 14, 16]
Generated Node #0,0: 51:[47, 14, 16] Operation: 26-10=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[47, 14, 16], Operations: ['26-10=16']
Exploring Operation: 16-14=2, Resulting Numbers: [47, 2]
Generated Node #0,0,0: 51:[47, 2] Operation: 16-14=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[47, 2], Operations: ['26-10=16', '16-14=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
93,
71,
99,
12
] | 54 |
[
"93-71=22",
"99*12=1188",
"1188/22=54"
] |
Current State: 54:[93, 71, 99, 12], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [99, 12, 22]
Generated Node #2: [99, 12, 22] from Operation: 93-71=22
Current State: 54:[99, 12, 22], Operations: ['93-71=22']
Exploring Operation: 99*12=1188, Resulting Numbers: [22, 1188]
Generated Node #3: [22, 1188] from Operation: 99*12=1188
Current State: 54:[22, 1188], Operations: ['93-71=22', '99*12=1188']
Exploring Operation: 1188/22=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[93, 71, 99, 12], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [99, 12, 22]
Generated Node #0,0: 54:[99, 12, 22] Operation: 93-71=22
Exploring Operation: 99-93=6, Resulting Numbers: [71, 12, 6]
Generated Node #0,1: 54:[71, 12, 6] Operation: 99-93=6
Exploring Operation: 99-71=28, Resulting Numbers: [93, 12, 28]
Generated Node #0,2: 54:[93, 12, 28] Operation: 99-71=28
Exploring Operation: 93-12=81, Resulting Numbers: [71, 99, 81]
Generated Node #0,3: 54:[71, 99, 81] Operation: 93-12=81
Exploring Operation: 71-12=59, Resulting Numbers: [93, 99, 59]
Generated Node #0,4: 54:[93, 99, 59] Operation: 71-12=59
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[71, 12, 6], Operations: ['99-93=6']
Exploring Operation: 71-12=59, Resulting Numbers: [6, 59]
Generated Node #0,1,0: 54:[6, 59] Operation: 71-12=59
Exploring Operation: 12/6=2, Resulting Numbers: [71, 2]
Generated Node #0,1,1: 54:[71, 2] Operation: 12/6=2
Exploring Operation: 12-6=6, Resulting Numbers: [71, 6]
Generated Node #0,1,2: 54:[71, 6] Operation: 12-6=6
Exploring Operation: 12+6=18, Resulting Numbers: [71, 18]
Generated Node #0,1,3: 54:[71, 18] Operation: 12+6=18
Exploring Operation: 71-6=65, Resulting Numbers: [12, 65]
Generated Node #0,1,4: 54:[12, 65] Operation: 71-6=65
Moving to Node #0,1,0
Current State: 54:[6, 59], Operations: ['99-93=6', '71-12=59']
Exploring Operation: 6*59=354, Resulting Numbers: [354]
354,54 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 6+59=65, Resulting Numbers: [65]
65,54 unequal: No Solution
Moving to Node #0,1,4
Current State: 54:[12, 65], Operations: ['99-93=6', '71-6=65']
Exploring Operation: 12+65=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 12*65=780, Resulting Numbers: [780]
780,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[71, 2], Operations: ['99-93=6', '12/6=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,54 unequal: No Solution
Exploring Operation: 71*2=142, Resulting Numbers: [142]
142,54 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,54 unequal: No Solution
Moving to Node #0,1,2
Current State: 54:[71, 6], Operations: ['99-93=6', '12-6=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 71*6=426, Resulting Numbers: [426]
426,54 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[71, 18], Operations: ['99-93=6', '12+6=18']
Exploring Operation: 71*18=1278, Resulting Numbers: [1278]
1278,54 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 71+18=89, Resulting Numbers: [89]
89,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[93, 12, 28], Operations: ['99-71=28']
Exploring Operation: 93-12=81, Resulting Numbers: [28, 81]
Generated Node #0,2,0: 54:[28, 81] Operation: 93-12=81
Exploring Operation: 12+28=40, Resulting Numbers: [93, 40]
Generated Node #0,2,1: 54:[93, 40] Operation: 12+28=40
Exploring Operation: 93+12=105, Resulting Numbers: [28, 105]
Generated Node #0,2,2: 54:[28, 105] Operation: 93+12=105
Exploring Operation: 93-28=65, Resulting Numbers: [12, 65]
Generated Node #0,2,3: 54:[12, 65] Operation: 93-28=65
Exploring Operation: 28-12=16, Resulting Numbers: [93, 16]
Generated Node #0,2,4: 54:[93, 16] Operation: 28-12=16
Moving to Node #0,2,3
Current State: 54:[12, 65], Operations: ['99-71=28', '93-28=65']
Exploring Operation: 12+65=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 12*65=780, Resulting Numbers: [780]
780,54 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Moving to Node #0,2,0
Current State: 54:[28, 81], Operations: ['99-71=28', '93-12=81']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 28*81=2268, Resulting Numbers: [2268]
2268,54 unequal: No Solution
Exploring Operation: 28+81=109, Resulting Numbers: [109]
109,54 unequal: No Solution
Moving to Node #0,2,4
Current State: 54:[93, 16], Operations: ['99-71=28', '28-12=16']
Exploring Operation: 93*16=1488, Resulting Numbers: [1488]
1488,54 unequal: No Solution
Exploring Operation: 93-16=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 93+16=109, Resulting Numbers: [109]
109,54 unequal: No Solution
Moving to Node #0,2,1
Current State: 54:[93, 40], Operations: ['99-71=28', '12+28=40']
Exploring Operation: 93+40=133, Resulting Numbers: [133]
133,54 unequal: No Solution
Exploring Operation: 93*40=3720, Resulting Numbers: [3720]
3720,54 unequal: No Solution
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Moving to Node #0,2,2
Current State: 54:[28, 105], Operations: ['99-71=28', '93+12=105']
Exploring Operation: 105-28=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 28*105=2940, Resulting Numbers: [2940]
2940,54 unequal: No Solution
Exploring Operation: 28+105=133, Resulting Numbers: [133]
133,54 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
Current State: 54:[99, 12, 22], Operations: ['93-71=22']
Exploring Operation: 12+22=34, Resulting Numbers: [99, 34]
Generated Node #0,0,0: 54:[99, 34] Operation: 12+22=34
Exploring Operation: 22-12=10, Resulting Numbers: [99, 10]
Generated Node #0,0,1: 54:[99, 10] Operation: 22-12=10
Exploring Operation: 99+12=111, Resulting Numbers: [22, 111]
Generated Node #0,0,2: 54:[22, 111] Operation: 99+12=111
Exploring Operation: 99-12=87, Resulting Numbers: [22, 87]
Generated Node #0,0,3: 54:[22, 87] Operation: 99-12=87
Exploring Operation: 99-22=77, Resulting Numbers: [12, 77]
Generated Node #0,0,4: 54:[12, 77] Operation: 99-22=77
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 54:[12, 77], Operations: ['93-71=22', '99-22=77']
Exploring Operation: 12+77=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 12*77=924, Resulting Numbers: [924]
924,54 unequal: No Solution
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,54 unequal: No Solution
No 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: 54:[22, 87], Operations: ['93-71=22', '99-12=87']
Exploring Operation: 22+87=109, Resulting Numbers: [109]
109,54 unequal: No Solution
Exploring Operation: 22*87=1914, Resulting Numbers: [1914]
1914,54 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,54 unequal: No Solution
No 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: 54:[99, 10], Operations: ['93-71=22', '22-12=10']
Exploring Operation: 99+10=109, Resulting Numbers: [109]
109,54 unequal: No Solution
Exploring Operation: 99*10=990, Resulting Numbers: [990]
990,54 unequal: No Solution
Exploring Operation: 99-10=89, Resulting Numbers: [89]
89,54 unequal: No Solution
No 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: 54:[99, 34], Operations: ['93-71=22', '12+22=34']
Exploring Operation: 99*34=3366, Resulting Numbers: [3366]
3366,54 unequal: No Solution
Exploring Operation: 99+34=133, Resulting Numbers: [133]
133,54 unequal: No Solution
Exploring Operation: 99-34=65, Resulting Numbers: [65]
65,54 unequal: No Solution
No 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: 54:[22, 111], Operations: ['93-71=22', '99+12=111']
Exploring Operation: 22*111=2442, Resulting Numbers: [2442]
2442,54 unequal: No Solution
Exploring Operation: 111-22=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 22+111=133, Resulting Numbers: [133]
133,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[71, 99, 81], Operations: ['93-12=81']
Exploring Operation: 71+81=152, Resulting Numbers: [99, 152]
Generated Node #0,3,0: 54:[99, 152] Operation: 71+81=152
Exploring Operation: 81-71=10, Resulting Numbers: [99, 10]
Generated Node #0,3,1: 54:[99, 10] Operation: 81-71=10
Exploring Operation: 99-71=28, Resulting Numbers: [81, 28]
Generated Node #0,3,2: 54:[81, 28] Operation: 99-71=28
Exploring Operation: 99-81=18, Resulting Numbers: [71, 18]
Generated Node #0,3,3: 54:[71, 18] Operation: 99-81=18
Exploring Operation: 71+99=170, Resulting Numbers: [81, 170]
Generated Node #0,3,4: 54:[81, 170] Operation: 71+99=170
Moving to Node #0,3,3
Current State: 54:[71, 18], Operations: ['93-12=81', '99-81=18']
Exploring Operation: 71*18=1278, Resulting Numbers: [1278]
1278,54 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 71+18=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Moving to Node #0,3,2
Current State: 54:[81, 28], Operations: ['93-12=81', '99-71=28']
Exploring Operation: 81+28=109, Resulting Numbers: [109]
109,54 unequal: No Solution
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 81*28=2268, Resulting Numbers: [2268]
2268,54 unequal: No Solution
Moving to Node #0,3,1
Current State: 54:[99, 10], Operations: ['93-12=81', '81-71=10']
Exploring Operation: 99*10=990, Resulting Numbers: [990]
990,54 unequal: No Solution
Exploring Operation: 99-10=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 99+10=109, Resulting Numbers: [109]
109,54 unequal: No Solution
Moving to Node #0,3,0
Current State: 54:[99, 152], Operations: ['93-12=81', '71+81=152']
Exploring Operation: 99+152=251, Resulting Numbers: [251]
251,54 unequal: No Solution
Exploring Operation: 152-99=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 99*152=15048, Resulting Numbers: [15048]
15048,54 unequal: No Solution
Moving to Node #0,3,4
Current State: 54:[81, 170], Operations: ['93-12=81', '71+99=170']
Exploring Operation: 81*170=13770, Resulting Numbers: [13770]
13770,54 unequal: No Solution
Exploring Operation: 170-81=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 81+170=251, Resulting Numbers: [251]
251,54 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 #0,4
Current State: 54:[93, 99, 59], Operations: ['71-12=59']
Exploring Operation: 99-59=40, Resulting Numbers: [93, 40]
Generated Node #0,4,0: 54:[93, 40] Operation: 99-59=40
Exploring Operation: 93+99=192, Resulting Numbers: [59, 192]
Generated Node #0,4,1: 54:[59, 192] Operation: 93+99=192
Exploring Operation: 93+59=152, Resulting Numbers: [99, 152]
Generated Node #0,4,2: 54:[99, 152] Operation: 93+59=152
Exploring Operation: 93-59=34, Resulting Numbers: [99, 34]
Generated Node #0,4,3: 54:[99, 34] Operation: 93-59=34
Exploring Operation: 99-93=6, Resulting Numbers: [59, 6]
Generated Node #0,4,4: 54:[59, 6] Operation: 99-93=6
Moving to Node #0,4,4
Current State: 54:[59, 6], Operations: ['71-12=59', '99-93=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,54 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 59*6=354, Resulting Numbers: [354]
354,54 unequal: No Solution
Moving to Node #0,4,3
Current State: 54:[99, 34], Operations: ['71-12=59', '93-59=34']
Exploring Operation: 99+34=133, Resulting Numbers: [133]
133,54 unequal: No Solution
Exploring Operation: 99*34=3366, Resulting Numbers: [3366]
3366,54 unequal: No Solution
Exploring Operation: 99-34=65, Resulting Numbers: [65]
65,54 unequal: No Solution
Moving to Node #0,4,0
Current State: 54:[93, 40], Operations: ['71-12=59', '99-59=40']
Exploring Operation: 93*40=3720, Resulting Numbers: [3720]
3720,54 unequal: No Solution
Exploring Operation: 93+40=133, Resulting Numbers: [133]
133,54 unequal: No Solution
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Moving to Node #0,4,1
Current State: 54:[59, 192], Operations: ['71-12=59', '93+99=192']
Exploring Operation: 59+192=251, Resulting Numbers: [251]
251,54 unequal: No Solution
Exploring Operation: 192-59=133, Resulting Numbers: [133]
133,54 unequal: No Solution
Exploring Operation: 59*192=11328, Resulting Numbers: [11328]
11328,54 unequal: No Solution
Moving to Node #0,4,2
Current State: 54:[99, 152], Operations: ['71-12=59', '93+59=152']
Exploring Operation: 99*152=15048, Resulting Numbers: [15048]
15048,54 unequal: No Solution
Exploring Operation: 152-99=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 99+152=251, Resulting Numbers: [251]
251,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
6,
5,
69,
26
] | 96 |
[
"6-5=1",
"69+26=95",
"1+95=96"
] |
Current State: 96:[6, 5, 69, 26], Operations: []
Exploring Operation: 6-5=1, Resulting Numbers: [69, 26, 1]
Generated Node #2: [69, 26, 1] from Operation: 6-5=1
Current State: 96:[69, 26, 1], Operations: ['6-5=1']
Exploring Operation: 69+26=95, Resulting Numbers: [1, 95]
Generated Node #3: [1, 95] from Operation: 69+26=95
Current State: 96:[1, 95], Operations: ['6-5=1', '69+26=95']
Exploring Operation: 1+95=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[6, 5, 69, 26], Operations: []
Exploring Operation: 69+26=95, Resulting Numbers: [6, 5, 95]
Generated Node #0,0: 96:[6, 5, 95] Operation: 69+26=95
Exploring Operation: 69-26=43, Resulting Numbers: [6, 5, 43]
Generated Node #0,1: 96:[6, 5, 43] Operation: 69-26=43
Moving to Node #0,0
Current State: 96:[6, 5, 95], Operations: ['69+26=95']
Exploring Operation: 6-5=1, Resulting Numbers: [95, 1]
Generated Node #0,0,0: 96:[95, 1] Operation: 6-5=1
Exploring Operation: 6+5=11, Resulting Numbers: [95, 11]
Generated Node #0,0,1: 96:[95, 11] Operation: 6+5=11
Moving to Node #0,1
Current State: 96:[6, 5, 43], Operations: ['69-26=43']
Exploring Operation: 5+43=48, Resulting Numbers: [6, 48]
Generated Node #0,1,0: 96:[6, 48] Operation: 5+43=48
Exploring Operation: 6+43=49, Resulting Numbers: [5, 49]
Generated Node #0,1,1: 96:[5, 49] Operation: 6+43=49
Moving to Node #0,1,0
Current State: 96:[6, 48], Operations: ['69-26=43', '5+43=48']
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[95, 1], Operations: ['69+26=95', '6-5=1']
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[6, 5, 69, 26], Operations: []
Exploring Operation: 69+26=95, Resulting Numbers: [6, 5, 95]
Generated Node #0,0: 96:[6, 5, 95] Operation: 69+26=95
Moving to Node #0,0
Current State: 96:[6, 5, 95], Operations: ['69+26=95']
Exploring Operation: 6-5=1, Resulting Numbers: [95, 1]
Generated Node #0,0,0: 96:[95, 1] Operation: 6-5=1
Moving to Node #0,0,0
Current State: 96:[95, 1], Operations: ['69+26=95', '6-5=1']
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.988715 |
hs_2
|
sum_heuristic
|
[
66,
26,
47,
99
] | 64 |
[
"99-47=52",
"52/26=2",
"66-2=64"
] |
Current State: 64:[66, 26, 47, 99], Operations: []
Exploring Operation: 99-47=52, Resulting Numbers: [66, 26, 52]
Generated Node #2: [66, 26, 52] from Operation: 99-47=52
Current State: 64:[66, 26, 52], Operations: ['99-47=52']
Exploring Operation: 52/26=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 52/26=2
Current State: 64:[66, 2], Operations: ['99-47=52', '52/26=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
Current State: 64:[66, 26, 47, 99], Operations: []
Exploring Operation: 99-26=73, Resulting Numbers: [66, 47, 73]
Generated Node #0,0: 64:[66, 47, 73] Operation: 99-26=73
Exploring Operation: 47-26=21, Resulting Numbers: [66, 99, 21]
Generated Node #0,1: 64:[66, 99, 21] Operation: 47-26=21
Exploring Operation: 99-47=52, Resulting Numbers: [66, 26, 52]
Generated Node #0,2: 64:[66, 26, 52] Operation: 99-47=52
Exploring Operation: 99-66=33, Resulting Numbers: [26, 47, 33]
Generated Node #0,3: 64:[26, 47, 33] Operation: 99-66=33
Moving to Node #0,2
Current State: 64:[66, 26, 52], Operations: ['99-47=52']
Exploring Operation: 66-52=14, Resulting Numbers: [26, 14]
Generated Node #0,2,0: 64:[26, 14] Operation: 66-52=14
Exploring Operation: 52/26=2, Resulting Numbers: [66, 2]
Generated Node #0,2,1: 64:[66, 2] Operation: 52/26=2
Exploring Operation: 26+52=78, Resulting Numbers: [66, 78]
Generated Node #0,2,2: 64:[66, 78] Operation: 26+52=78
Exploring Operation: 52-26=26, Resulting Numbers: [66, 26]
Generated Node #0,2,3: 64:[66, 26] Operation: 52-26=26
Moving to Node #0,3
Current State: 64:[26, 47, 33], Operations: ['99-66=33']
Exploring Operation: 47-26=21, Resulting Numbers: [33, 21]
Generated Node #0,3,0: 64:[33, 21] Operation: 47-26=21
Exploring Operation: 47-33=14, Resulting Numbers: [26, 14]
Generated Node #0,3,1: 64:[26, 14] Operation: 47-33=14
Exploring Operation: 33-26=7, Resulting Numbers: [47, 7]
Generated Node #0,3,2: 64:[47, 7] Operation: 33-26=7
Exploring Operation: 26+47=73, Resulting Numbers: [33, 73]
Generated Node #0,3,3: 64:[33, 73] Operation: 26+47=73
Moving to Node #0,0
Current State: 64:[66, 47, 73], Operations: ['99-26=73']
Exploring Operation: 73-47=26, Resulting Numbers: [66, 26]
Generated Node #0,0,0: 64:[66, 26] Operation: 73-47=26
Exploring Operation: 66+47=113, Resulting Numbers: [73, 113]
Generated Node #0,0,1: 64:[73, 113] Operation: 66+47=113
Exploring Operation: 73-66=7, Resulting Numbers: [47, 7]
Generated Node #0,0,2: 64:[47, 7] Operation: 73-66=7
Exploring Operation: 66-47=19, Resulting Numbers: [73, 19]
Generated Node #0,0,3: 64:[73, 19] Operation: 66-47=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[66, 26], Operations: ['99-26=73', '73-47=26']
Exploring Operation: 66+26=92, Resulting Numbers: [92]
92,64 unequal: No Solution
Exploring Operation: 66*26=1716, Resulting Numbers: [1716]
1716,64 unequal: No Solution
Exploring Operation: 66-26=40, Resulting Numbers: [40]
40,64 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 #0,0,3
Current State: 64:[73, 19], Operations: ['99-26=73', '66-47=19']
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,64 unequal: No Solution
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[47, 7], Operations: ['99-26=73', '73-66=7']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,64 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,64 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 #0,0,1
Current State: 64:[73, 113], Operations: ['99-26=73', '66+47=113']
Exploring Operation: 73*113=8249, Resulting Numbers: [8249]
8249,64 unequal: No Solution
Exploring Operation: 113-73=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 73+113=186, Resulting Numbers: [186]
186,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 64:[66, 99, 21], Operations: ['47-26=21']
Exploring Operation: 99-21=78, Resulting Numbers: [66, 78]
Generated Node #0,1,0: 64:[66, 78] Operation: 99-21=78
Exploring Operation: 66-21=45, Resulting Numbers: [99, 45]
Generated Node #0,1,1: 64:[99, 45] Operation: 66-21=45
Exploring Operation: 66+21=87, Resulting Numbers: [99, 87]
Generated Node #0,1,2: 64:[99, 87] Operation: 66+21=87
Exploring Operation: 99-66=33, Resulting Numbers: [21, 33]
Generated Node #0,1,3: 64:[21, 33] Operation: 99-66=33
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 64:[21, 33], Operations: ['47-26=21', '99-66=33']
Exploring Operation: 21*33=693, Resulting Numbers: [693]
693,64 unequal: No Solution
Exploring Operation: 21+33=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[66, 78], Operations: ['47-26=21', '99-21=78']
Exploring Operation: 78-66=12, Resulting Numbers: [12]
12,64 unequal: No Solution
Exploring Operation: 66+78=144, Resulting Numbers: [144]
144,64 unequal: No Solution
Exploring Operation: 66*78=5148, Resulting Numbers: [5148]
5148,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[99, 45], Operations: ['47-26=21', '66-21=45']
Exploring Operation: 99+45=144, Resulting Numbers: [144]
144,64 unequal: No Solution
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 99*45=4455, Resulting Numbers: [4455]
4455,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 64:[99, 87], Operations: ['47-26=21', '66+21=87']
Exploring Operation: 99*87=8613, Resulting Numbers: [8613]
8613,64 unequal: No Solution
Exploring Operation: 99-87=12, Resulting Numbers: [12]
12,64 unequal: No Solution
Exploring Operation: 99+87=186, Resulting Numbers: [186]
186,64 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: 64:[66, 2], Operations: ['99-47=52', '52/26=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[66, 26, 47, 99], Operations: []
Exploring Operation: 99-47=52, Resulting Numbers: [66, 26, 52]
Generated Node #0,2: 64:[66, 26, 52] Operation: 99-47=52
Moving to Node #0,2
Current State: 64:[66, 26, 52], Operations: ['99-47=52']
Exploring Operation: 52/26=2, Resulting Numbers: [66, 2]
Generated Node #0,2,1: 64:[66, 2] Operation: 52/26=2
Moving to Node #0,2,1
Current State: 64:[66, 2], Operations: ['99-47=52', '52/26=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.957465 |
hs_4
|
sum_heuristic
|
[
10,
29,
70,
11
] | 11 |
[
"70/10=7",
"29-11=18",
"18-7=11"
] |
Current State: 11:[10, 29, 70, 11], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [29, 11, 7]
Generated Node #2: [29, 11, 7] from Operation: 70/10=7
Current State: 11:[29, 11, 7], Operations: ['70/10=7']
Exploring Operation: 29-11=18, Resulting Numbers: [7, 18]
Generated Node #3: [7, 18] from Operation: 29-11=18
Current State: 11:[7, 18], Operations: ['70/10=7', '29-11=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[10, 29, 70, 11], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [29, 11, 7]
Generated Node #0,0: 11:[29, 11, 7] Operation: 70/10=7
Moving to Node #0,0
Current State: 11:[29, 11, 7], Operations: ['70/10=7']
Exploring Operation: 29-11=18, Resulting Numbers: [7, 18]
Generated Node #0,0,0: 11:[7, 18] Operation: 29-11=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[7, 18], Operations: ['70/10=7', '29-11=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[10, 29, 70, 11], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [29, 11, 7]
Generated Node #0,0: 11:[29, 11, 7] Operation: 70/10=7
Moving to Node #0,0
Current State: 11:[29, 11, 7], Operations: ['70/10=7']
Exploring Operation: 29-11=18, Resulting Numbers: [7, 18]
Generated Node #0,0,0: 11:[7, 18] Operation: 29-11=18
Moving to Node #0,0,0
Current State: 11:[7, 18], Operations: ['70/10=7', '29-11=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
2,
94,
9,
92
] | 99 |
[
"2*92=184",
"94-9=85",
"184-85=99"
] |
Current State: 99:[2, 94, 9, 92], Operations: []
Exploring Operation: 2*92=184, Resulting Numbers: [94, 9, 184]
Generated Node #2: [94, 9, 184] from Operation: 2*92=184
Current State: 99:[94, 9, 184], Operations: ['2*92=184']
Exploring Operation: 94-9=85, Resulting Numbers: [184, 85]
Generated Node #3: [184, 85] from Operation: 94-9=85
Current State: 99:[184, 85], Operations: ['2*92=184', '94-9=85']
Exploring Operation: 184-85=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[2, 94, 9, 92], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [2, 9, 2]
Generated Node #0,0: 99:[2, 9, 2] Operation: 94-92=2
Moving to Node #0,0
Current State: 99:[2, 9, 2], Operations: ['94-92=2']
Exploring Operation: 2+9=11, Resulting Numbers: [2, 11]
Generated Node #0,0,0: 99:[2, 11] Operation: 2+9=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[2, 11], Operations: ['94-92=2', '2+9=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
2,
21,
95,
88
] | 35 |
[
"2*21=42",
"95-88=7",
"42-7=35"
] |
Current State: 35:[2, 21, 95, 88], Operations: []
Exploring Operation: 2*21=42, Resulting Numbers: [95, 88, 42]
Generated Node #2: [95, 88, 42] from Operation: 2*21=42
Current State: 35:[95, 88, 42], Operations: ['2*21=42']
Exploring Operation: 95-88=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 95-88=7
Current State: 35:[42, 7], Operations: ['2*21=42', '95-88=7']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[2, 21, 95, 88], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [21, 95, 44]
Generated Node #0,0: 35:[21, 95, 44] Operation: 88/2=44
Exploring Operation: 95-88=7, Resulting Numbers: [2, 21, 7]
Generated Node #0,1: 35:[2, 21, 7] Operation: 95-88=7
Moving to Node #0,1
Current State: 35:[2, 21, 7], Operations: ['95-88=7']
Exploring Operation: 2*21=42, Resulting Numbers: [7, 42]
Generated Node #0,1,0: 35:[7, 42] Operation: 2*21=42
Exploring Operation: 21/7=3, Resulting Numbers: [2, 3]
Generated Node #0,1,1: 35:[2, 3] Operation: 21/7=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[2, 3], Operations: ['95-88=7', '21/7=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[7, 42], Operations: ['95-88=7', '2*21=42']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[2, 21, 95, 88], Operations: []
Exploring Operation: 95-88=7, Resulting Numbers: [2, 21, 7]
Generated Node #0,1: 35:[2, 21, 7] Operation: 95-88=7
Moving to Node #0,1
Current State: 35:[2, 21, 7], Operations: ['95-88=7']
Exploring Operation: 2*21=42, Resulting Numbers: [7, 42]
Generated Node #0,1,0: 35:[7, 42] Operation: 2*21=42
Moving to Node #0,1,0
Current State: 35:[7, 42], Operations: ['95-88=7', '2*21=42']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_2
|
sum_heuristic
|
[
38,
4,
25,
23
] | 35 |
[
"38-23=15",
"4*15=60",
"60-25=35"
] |
Current State: 35:[38, 4, 25, 23], Operations: []
Exploring Operation: 38-23=15, Resulting Numbers: [4, 25, 15]
Generated Node #2: [4, 25, 15] from Operation: 38-23=15
Current State: 35:[4, 25, 15], Operations: ['38-23=15']
Exploring Operation: 4*15=60, Resulting Numbers: [25, 60]
Generated Node #3: [25, 60] from Operation: 4*15=60
Current State: 35:[25, 60], Operations: ['38-23=15', '4*15=60']
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[38, 4, 25, 23], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [38, 4, 2]
Generated Node #0,0: 35:[38, 4, 2] Operation: 25-23=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[38, 4, 2], Operations: ['25-23=2']
Exploring Operation: 38-2=36, Resulting Numbers: [4, 36]
Generated Node #0,0,0: 35:[4, 36] Operation: 38-2=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[4, 36], Operations: ['25-23=2', '38-2=36']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
42,
33,
94,
98
] | 71 |
[
"42+33=75",
"98-94=4",
"75-4=71"
] |
Current State: 71:[42, 33, 94, 98], Operations: []
Exploring Operation: 42+33=75, Resulting Numbers: [94, 98, 75]
Generated Node #2: [94, 98, 75] from Operation: 42+33=75
Current State: 71:[94, 98, 75], Operations: ['42+33=75']
Exploring Operation: 98-94=4, Resulting Numbers: [75, 4]
Generated Node #3: [75, 4] from Operation: 98-94=4
Current State: 71:[75, 4], Operations: ['42+33=75', '98-94=4']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
Current State: 71:[42, 33, 94, 98], Operations: []
Exploring Operation: 98-33=65, Resulting Numbers: [42, 94, 65]
Generated Node #0,0: 71:[42, 94, 65] Operation: 98-33=65
Exploring Operation: 42+33=75, Resulting Numbers: [94, 98, 75]
Generated Node #0,1: 71:[94, 98, 75] Operation: 42+33=75
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[94, 98, 75], Operations: ['42+33=75']
Exploring Operation: 98-75=23, Resulting Numbers: [94, 23]
Generated Node #0,1,0: 71:[94, 23] Operation: 98-75=23
Exploring Operation: 98-94=4, Resulting Numbers: [75, 4]
Generated Node #0,1,1: 71:[75, 4] Operation: 98-94=4
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[94, 23], Operations: ['42+33=75', '98-75=23']
Exploring Operation: 94+23=117, Resulting Numbers: [117]
117,71 unequal: No Solution
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[42, 33, 94, 98], Operations: []
Exploring Operation: 42+33=75, Resulting Numbers: [94, 98, 75]
Generated Node #0,1: 71:[94, 98, 75] Operation: 42+33=75
Moving to Node #0,1
Current State: 71:[94, 98, 75], Operations: ['42+33=75']
Exploring Operation: 98-75=23, Resulting Numbers: [94, 23]
Generated Node #0,1,0: 71:[94, 23] Operation: 98-75=23
Moving to Node #0,1,0
Current State: 71:[94, 23], Operations: ['42+33=75', '98-75=23']
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
sum_heuristic
|
[
95,
53,
17,
51
] | 14 |
[
"95-53=42",
"51/17=3",
"42/3=14"
] |
Current State: 14:[95, 53, 17, 51], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [17, 51, 42]
Generated Node #2: [17, 51, 42] from Operation: 95-53=42
Current State: 14:[17, 51, 42], Operations: ['95-53=42']
Exploring Operation: 51/17=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 51/17=3
Current State: 14:[42, 3], Operations: ['95-53=42', '51/17=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
Current State: 14:[95, 53, 17, 51], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [17, 51, 42]
Generated Node #0,0: 14:[17, 51, 42] Operation: 95-53=42
Exploring Operation: 51/17=3, Resulting Numbers: [95, 53, 3]
Generated Node #0,1: 14:[95, 53, 3] Operation: 51/17=3
Exploring Operation: 95-17=78, Resulting Numbers: [53, 51, 78]
Generated Node #0,2: 14:[53, 51, 78] Operation: 95-17=78
Exploring Operation: 95-51=44, Resulting Numbers: [53, 17, 44]
Generated Node #0,3: 14:[53, 17, 44] Operation: 95-51=44
Exploring Operation: 53-51=2, Resulting Numbers: [95, 17, 2]
Generated Node #0,4: 14:[95, 17, 2] Operation: 53-51=2
Moving to Node #0,0
Current State: 14:[17, 51, 42], Operations: ['95-53=42']
Exploring Operation: 51-17=34, Resulting Numbers: [42, 34]
Generated Node #0,0,0: 14:[42, 34] Operation: 51-17=34
Exploring Operation: 51-42=9, Resulting Numbers: [17, 9]
Generated Node #0,0,1: 14:[17, 9] Operation: 51-42=9
Exploring Operation: 42-17=25, Resulting Numbers: [51, 25]
Generated Node #0,0,2: 14:[51, 25] Operation: 42-17=25
Exploring Operation: 17+51=68, Resulting Numbers: [42, 68]
Generated Node #0,0,3: 14:[42, 68] Operation: 17+51=68
Exploring Operation: 51/17=3, Resulting Numbers: [42, 3]
Generated Node #0,0,4: 14:[42, 3] Operation: 51/17=3
Moving to Node #0,3
Current State: 14:[53, 17, 44], Operations: ['95-51=44']
Exploring Operation: 44-17=27, Resulting Numbers: [53, 27]
Generated Node #0,3,0: 14:[53, 27] Operation: 44-17=27
Exploring Operation: 53+17=70, Resulting Numbers: [44, 70]
Generated Node #0,3,1: 14:[44, 70] Operation: 53+17=70
Exploring Operation: 53-44=9, Resulting Numbers: [17, 9]
Generated Node #0,3,2: 14:[17, 9] Operation: 53-44=9
Exploring Operation: 53-17=36, Resulting Numbers: [44, 36]
Generated Node #0,3,3: 14:[44, 36] Operation: 53-17=36
Exploring Operation: 53+44=97, Resulting Numbers: [17, 97]
Generated Node #0,3,4: 14:[17, 97] Operation: 53+44=97
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 14:[17, 9], Operations: ['95-51=44', '53-44=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,14 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 #0,3,0
Current State: 14:[53, 27], Operations: ['95-51=44', '44-17=27']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 53*27=1431, Resulting Numbers: [1431]
1431,14 unequal: No Solution
Exploring Operation: 53+27=80, Resulting Numbers: [80]
80,14 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 #0,3,3
Current State: 14:[44, 36], Operations: ['95-51=44', '53-17=36']
Exploring Operation: 44+36=80, Resulting Numbers: [80]
80,14 unequal: No Solution
Exploring Operation: 44*36=1584, Resulting Numbers: [1584]
1584,14 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,14 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 #0,3,1
Current State: 14:[44, 70], Operations: ['95-51=44', '53+17=70']
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 44+70=114, Resulting Numbers: [114]
114,14 unequal: No Solution
Exploring Operation: 44*70=3080, Resulting Numbers: [3080]
3080,14 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 #0,3,4
Current State: 14:[17, 97], Operations: ['95-51=44', '53+44=97']
Exploring Operation: 17+97=114, Resulting Numbers: [114]
114,14 unequal: No Solution
Exploring Operation: 17*97=1649, Resulting Numbers: [1649]
1649,14 unequal: No Solution
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,14 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: 14:[95, 17, 2], Operations: ['53-51=2']
Exploring Operation: 95-17=78, Resulting Numbers: [2, 78]
Generated Node #0,4,0: 14:[2, 78] Operation: 95-17=78
Exploring Operation: 95+2=97, Resulting Numbers: [17, 97]
Generated Node #0,4,1: 14:[17, 97] Operation: 95+2=97
Exploring Operation: 17-2=15, Resulting Numbers: [95, 15]
Generated Node #0,4,2: 14:[95, 15] Operation: 17-2=15
Exploring Operation: 95-2=93, Resulting Numbers: [17, 93]
Generated Node #0,4,3: 14:[17, 93] Operation: 95-2=93
Exploring Operation: 17+2=19, Resulting Numbers: [95, 19]
Generated Node #0,4,4: 14:[95, 19] Operation: 17+2=19
Moving to Node #0,1
Current State: 14:[95, 53, 3], Operations: ['51/17=3']
Exploring Operation: 53-3=50, Resulting Numbers: [95, 50]
Generated Node #0,1,0: 14:[95, 50] Operation: 53-3=50
Exploring Operation: 95-53=42, Resulting Numbers: [3, 42]
Generated Node #0,1,1: 14:[3, 42] Operation: 95-53=42
Exploring Operation: 53+3=56, Resulting Numbers: [95, 56]
Generated Node #0,1,2: 14:[95, 56] Operation: 53+3=56
Exploring Operation: 95-3=92, Resulting Numbers: [53, 92]
Generated Node #0,1,3: 14:[53, 92] Operation: 95-3=92
Exploring Operation: 95+3=98, Resulting Numbers: [53, 98]
Generated Node #0,1,4: 14:[53, 98] Operation: 95+3=98
Moving to Node #0,2
Current State: 14:[53, 51, 78], Operations: ['95-17=78']
Exploring Operation: 78-53=25, Resulting Numbers: [51, 25]
Generated Node #0,2,0: 14:[51, 25] Operation: 78-53=25
Exploring Operation: 53+78=131, Resulting Numbers: [51, 131]
Generated Node #0,2,1: 14:[51, 131] Operation: 53+78=131
Exploring Operation: 53+51=104, Resulting Numbers: [78, 104]
Generated Node #0,2,2: 14:[78, 104] Operation: 53+51=104
Exploring Operation: 78-51=27, Resulting Numbers: [53, 27]
Generated Node #0,2,3: 14:[53, 27] Operation: 78-51=27
Exploring Operation: 53-51=2, Resulting Numbers: [78, 2]
Generated Node #0,2,4: 14:[78, 2] Operation: 53-51=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[51, 25], Operations: ['95-17=78', '78-53=25']
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,14 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,14 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 #0,2,3
Current State: 14:[53, 27], Operations: ['95-17=78', '78-51=27']
Exploring Operation: 53*27=1431, Resulting Numbers: [1431]
1431,14 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 53+27=80, Resulting Numbers: [80]
80,14 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 #0,2,4
Current State: 14:[78, 2], Operations: ['95-17=78', '53-51=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,14 unequal: No Solution
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,14 unequal: No Solution
Exploring Operation: 78*2=156, Resulting Numbers: [156]
156,14 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,14 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 #0,2,1
Current State: 14:[51, 131], Operations: ['95-17=78', '53+78=131']
Exploring Operation: 51+131=182, Resulting Numbers: [182]
182,14 unequal: No Solution
Exploring Operation: 51*131=6681, Resulting Numbers: [6681]
6681,14 unequal: No Solution
Exploring Operation: 131-51=80, Resulting Numbers: [80]
80,14 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 #0,2,2
Current State: 14:[78, 104], Operations: ['95-17=78', '53+51=104']
Exploring Operation: 78+104=182, Resulting Numbers: [182]
182,14 unequal: No Solution
Exploring Operation: 104-78=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 78*104=8112, Resulting Numbers: [8112]
8112,14 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: 14:[17, 9], Operations: ['95-53=42', '51-42=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,14 unequal: No Solution
Moving to Node #0,0,4
Current State: 14:[42, 3], Operations: ['95-53=42', '51/17=3']
Exploring Operation: 42*3=126, Resulting Numbers: [126]
126,14 unequal: No Solution
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[95, 53, 17, 51], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [17, 51, 42]
Generated Node #0,0: 14:[17, 51, 42] Operation: 95-53=42
Moving to Node #0,0
Current State: 14:[17, 51, 42], Operations: ['95-53=42']
Exploring Operation: 51/17=3, Resulting Numbers: [42, 3]
Generated Node #0,0,4: 14:[42, 3] Operation: 51/17=3
Moving to Node #0,0,4
Current State: 14:[42, 3], Operations: ['95-53=42', '51/17=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.938368 |
hs_5
|
mult_heuristic
|
[
37,
37,
47,
99
] | 22 |
[
"37+37=74",
"99-47=52",
"74-52=22"
] |
Current State: 22:[37, 37, 47, 99], Operations: []
Exploring Operation: 37+37=74, Resulting Numbers: [47, 99, 74]
Generated Node #2: [47, 99, 74] from Operation: 37+37=74
Current State: 22:[47, 99, 74], Operations: ['37+37=74']
Exploring Operation: 99-47=52, Resulting Numbers: [74, 52]
Generated Node #3: [74, 52] from Operation: 99-47=52
Current State: 22:[74, 52], Operations: ['37+37=74', '99-47=52']
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[37, 37, 47, 99], Operations: []
Exploring Operation: 99-37=62, Resulting Numbers: [37, 47, 62]
Generated Node #0,0: 22:[37, 47, 62] Operation: 99-37=62
Exploring Operation: 99-47=52, Resulting Numbers: [37, 37, 52]
Generated Node #0,1: 22:[37, 37, 52] Operation: 99-47=52
Exploring Operation: 99-37=62, Resulting Numbers: [37, 47, 62]
Generated Node #0,2: 22:[37, 47, 62] Operation: 99-37=62
Moving to Node #0,1
Current State: 22:[37, 37, 52], Operations: ['99-47=52']
Exploring Operation: 52-37=15, Resulting Numbers: [37, 15]
Generated Node #0,1,0: 22:[37, 15] Operation: 52-37=15
Exploring Operation: 37/37=1, Resulting Numbers: [52, 1]
Generated Node #0,1,1: 22:[52, 1] Operation: 37/37=1
Exploring Operation: 52-37=15, Resulting Numbers: [37, 15]
Generated Node #0,1,2: 22:[37, 15] Operation: 52-37=15
Moving to Node #0,0
Current State: 22:[37, 47, 62], Operations: ['99-37=62']
Exploring Operation: 62-47=15, Resulting Numbers: [37, 15]
Generated Node #0,0,0: 22:[37, 15] Operation: 62-47=15
Exploring Operation: 62-37=25, Resulting Numbers: [47, 25]
Generated Node #0,0,1: 22:[47, 25] Operation: 62-37=25
Exploring Operation: 47-37=10, Resulting Numbers: [62, 10]
Generated Node #0,0,2: 22:[62, 10] Operation: 47-37=10
Moving to Node #0,2
Current State: 22:[37, 47, 62], Operations: ['99-37=62']
Exploring Operation: 47-37=10, Resulting Numbers: [62, 10]
Generated Node #0,2,0: 22:[62, 10] Operation: 47-37=10
Exploring Operation: 62-47=15, Resulting Numbers: [37, 15]
Generated Node #0,2,1: 22:[37, 15] Operation: 62-47=15
Exploring Operation: 62-37=25, Resulting Numbers: [47, 25]
Generated Node #0,2,2: 22:[47, 25] Operation: 62-37=25
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 22:[37, 15], Operations: ['99-37=62', '62-47=15']
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[37, 37, 47, 99], Operations: []
Exploring Operation: 99-37=62, Resulting Numbers: [37, 47, 62]
Generated Node #0,2: 22:[37, 47, 62] Operation: 99-37=62
Moving to Node #0,2
Current State: 22:[37, 47, 62], Operations: ['99-37=62']
Exploring Operation: 62-47=15, Resulting Numbers: [37, 15]
Generated Node #0,2,1: 22:[37, 15] Operation: 62-47=15
Moving to Node #0,2,1
Current State: 22:[37, 15], Operations: ['99-37=62', '62-47=15']
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
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.